%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LAT362+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:14:31 AM UTC 2025
% Result : Theorem 8.96s 9.13s
% Output : Proof 9.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : LAT362+1 : TPTP v9.0.0. Released v3.4.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 20:39:06 EDT 2025
% 0.12/0.33 % CPUTime :
% 8.96/9.13 % SZS status Theorem
% 8.96/9.13 % SZS output start Proof
% 8.96/9.13 tff(v21_functor0_type, type, (
% 8.96/9.13 v21_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(g2_altcat_1_type, type, (
% 8.96/9.13 g2_altcat_1: ( $i * $i * $i ) > $i)).
% 8.96/9.13 tff(u2_altcat_1_type, type, (
% 8.96/9.13 u2_altcat_1: $i > $i)).
% 8.96/9.13 tff(k5_waybel34_type, type, (
% 8.96/9.13 k5_waybel34: $i > $i)).
% 8.96/9.13 tff(tptp_fun_A_0_type, type, (
% 8.96/9.13 tptp_fun_A_0: $i)).
% 8.96/9.13 tff(u1_altcat_1_type, type, (
% 8.96/9.13 u1_altcat_1: $i > $i)).
% 8.96/9.13 tff(u1_struct_0_type, type, (
% 8.96/9.13 u1_struct_0: $i > $i)).
% 8.96/9.13 tff(k4_waybel34_type, type, (
% 8.96/9.13 k4_waybel34: $i > $i)).
% 8.96/9.13 tff(g2_functor0_type, type, (
% 8.96/9.13 g2_functor0: ( $i * $i * $i * $i ) > $i)).
% 8.96/9.13 tff(u2_functor0_type, type, (
% 8.96/9.13 u2_functor0: ( $i * $i * $i ) > $i)).
% 8.96/9.13 tff(k6_waybel34_type, type, (
% 8.96/9.13 k6_waybel34: $i > $i)).
% 8.96/9.13 tff(u1_functor0_type, type, (
% 8.96/9.13 u1_functor0: ( $i * $i * $i ) > $i)).
% 8.96/9.13 tff(l2_altcat_1_type, type, (
% 8.96/9.13 l2_altcat_1: $i > $o)).
% 8.96/9.13 tff(v2_yellow21_type, type, (
% 8.96/9.13 v2_yellow21: $i > $o)).
% 8.96/9.13 tff(v12_altcat_1_type, type, (
% 8.96/9.13 v12_altcat_1: $i > $o)).
% 8.96/9.13 tff(v11_altcat_1_type, type, (
% 8.96/9.13 v11_altcat_1: $i > $o)).
% 8.96/9.13 tff(v6_altcat_1_type, type, (
% 8.96/9.13 v6_altcat_1: $i > $o)).
% 8.96/9.13 tff(v3_struct_0_type, type, (
% 8.96/9.13 v3_struct_0: $i > $o)).
% 8.96/9.13 tff(v2_altcat_1_type, type, (
% 8.96/9.13 v2_altcat_1: $i > $o)).
% 8.96/9.13 tff(v1_xboole_0_type, type, (
% 8.96/9.13 v1_xboole_0: $i > $o)).
% 8.96/9.13 tff(v2_setfam_1_type, type, (
% 8.96/9.13 v2_setfam_1: $i > $o)).
% 8.96/9.13 tff(r2_functor0_type, type, (
% 8.96/9.13 r2_functor0: ( $i * $i ) > $o)).
% 8.96/9.13 tff(v3_yellow21_type, type, (
% 8.96/9.13 v3_yellow21: $i > $o)).
% 8.96/9.13 tff(v1_yellow21_type, type, (
% 8.96/9.13 v1_yellow21: $i > $o)).
% 8.96/9.13 tff(v4_yellow18_type, type, (
% 8.96/9.13 v4_yellow18: $i > $o)).
% 8.96/9.13 tff(v3_yellow18_type, type, (
% 8.96/9.13 v3_yellow18: $i > $o)).
% 8.96/9.13 tff(v2_yellow18_type, type, (
% 8.96/9.13 v2_yellow18: $i > $o)).
% 8.96/9.13 tff(v1_altcat_2_type, type, (
% 8.96/9.13 v1_altcat_2: $i > $o)).
% 8.96/9.13 tff(v9_altcat_1_type, type, (
% 8.96/9.13 v9_altcat_1: $i > $o)).
% 8.96/9.13 tff(l2_functor0_type, type, (
% 8.96/9.13 l2_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(m2_functor0_type, type, (
% 8.96/9.13 m2_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(v16_functor0_type, type, (
% 8.96/9.13 v16_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(v9_functor0_type, type, (
% 8.96/9.13 v9_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(l1_altcat_1_type, type, (
% 8.96/9.13 l1_altcat_1: $i > $o)).
% 8.96/9.13 tff(v14_functor0_type, type, (
% 8.96/9.13 v14_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(v12_functor0_type, type, (
% 8.96/9.13 v12_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(v11_functor0_type, type, (
% 8.96/9.13 v11_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(v8_functor0_type, type, (
% 8.96/9.13 v8_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(v6_functor0_type, type, (
% 8.96/9.13 v6_functor0: ( $i * $i * $i ) > $o)).
% 8.96/9.13 tff(tptp_fun_C_1_type, type, (
% 8.96/9.13 tptp_fun_C_1: ( $i * $i ) > $i)).
% 8.96/9.13 tff(1,plain,
% 8.96/9.13 (^[A: $i] : refl((v2_setfam_1(A) | (~v1_xboole_0(A))) <=> (v2_setfam_1(A) | (~v1_xboole_0(A))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(2,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A))) <=> ![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[1])).
% 8.96/9.13 tff(3,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A))) <=> ![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(4,plain,
% 8.96/9.13 (^[A: $i] : rewrite(((~v2_setfam_1(A)) => (~v1_xboole_0(A))) <=> (v2_setfam_1(A) | (~v1_xboole_0(A))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(5,plain,
% 8.96/9.13 (![A: $i] : ((~v2_setfam_1(A)) => (~v1_xboole_0(A))) <=> ![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[4])).
% 8.96/9.13 tff(6,axiom,(![A: $i] : ((~v2_setfam_1(A)) => (~v1_xboole_0(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cc2_setfam_1')).
% 8.96/9.13 tff(7,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[6, 5])).
% 8.96/9.13 tff(8,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[7, 3])).
% 8.96/9.13 tff(9,plain,(
% 8.96/9.13 ![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(skolemize,[status(sab)],[8])).
% 8.96/9.13 tff(10,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[9, 2])).
% 8.96/9.13 tff(11,plain,
% 8.96/9.13 ((~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A)))) <=> (~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(12,plain,
% 8.96/9.13 ((~![A: $i] : ((~v2_setfam_1(A)) => r2_functor0(k4_waybel34(A), k5_waybel34(A)))) <=> (~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(13,axiom,(~![A: $i] : ((~v2_setfam_1(A)) => r2_functor0(k4_waybel34(A), k5_waybel34(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t20_waybel34')).
% 8.96/9.13 tff(14,plain,
% 8.96/9.13 (~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[13, 12])).
% 8.96/9.13 tff(15,plain,
% 8.96/9.13 (~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[14, 11])).
% 8.96/9.13 tff(16,plain,
% 8.96/9.13 (~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[15, 11])).
% 8.96/9.13 tff(17,plain,
% 8.96/9.13 (~![A: $i] : (v2_setfam_1(A) | r2_functor0(k4_waybel34(A), k5_waybel34(A)))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[16, 11])).
% 8.96/9.13 tff(18,plain,(
% 8.96/9.13 ~(v2_setfam_1(A!0) | r2_functor0(k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.13 inference(skolemize,[status(sab)],[17])).
% 8.96/9.13 tff(19,plain,
% 8.96/9.13 (~v2_setfam_1(A!0)),
% 8.96/9.13 inference(or_elim,[status(thm)],[18])).
% 8.96/9.13 tff(20,plain,
% 8.96/9.13 (((~![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))) | (v2_setfam_1(A!0) | (~v1_xboole_0(A!0)))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))) | v2_setfam_1(A!0) | (~v1_xboole_0(A!0)))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(21,plain,
% 8.96/9.13 ((~![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))) | (v2_setfam_1(A!0) | (~v1_xboole_0(A!0)))),
% 8.96/9.13 inference(quant_inst,[status(thm)],[])).
% 8.96/9.13 tff(22,plain,
% 8.96/9.13 ((~![A: $i] : (v2_setfam_1(A) | (~v1_xboole_0(A)))) | v2_setfam_1(A!0) | (~v1_xboole_0(A!0))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[21, 20])).
% 8.96/9.13 tff(23,plain,
% 8.96/9.13 (~v1_xboole_0(A!0)),
% 8.96/9.13 inference(unit_resolution,[status(thm)],[22, 19, 10])).
% 8.96/9.13 tff(24,plain,
% 8.96/9.13 (^[A: $i] : refl((v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A)))))) <=> (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A)))))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(25,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A)))))) <=> ![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[24])).
% 8.96/9.13 tff(26,plain,
% 8.96/9.13 (^[A: $i] : rewrite((v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)))) <=> (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A)))))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(27,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)))) <=> ![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[26])).
% 8.96/9.13 tff(28,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)))) <=> ![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(29,plain,
% 8.96/9.13 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)))), (((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)))), (((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A))))), ((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)))), ((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A))))), (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)))), (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A))))), ((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)))), ((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))), (((~v1_xboole_0(A)) => (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A)))) <=> ((~v1_xboole_0(A)) => ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)))))), rewrite(((~v1_xboole_0(A)) => ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)))) <=> (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))), (((~v1_xboole_0(A)) => (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A)))) <=> (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(30,plain,
% 8.96/9.13 (![A: $i] : ((~v1_xboole_0(A)) => (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A)))) <=> ![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[29])).
% 8.96/9.13 tff(31,axiom,(![A: $i] : ((~v1_xboole_0(A)) => (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & l2_altcat_1(k5_waybel34(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k5_waybel34')).
% 8.96/9.13 tff(32,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[31, 30])).
% 8.96/9.13 tff(33,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[32, 28])).
% 8.96/9.13 tff(34,plain,(
% 8.96/9.13 ![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A))))),
% 8.96/9.13 inference(skolemize,[status(sab)],[33])).
% 8.96/9.13 tff(35,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[34, 27])).
% 8.96/9.13 tff(36,plain,
% 8.96/9.13 (![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[35, 25])).
% 8.96/9.13 tff(37,plain,
% 8.96/9.13 (((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | (v1_xboole_0(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | v1_xboole_0(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(38,plain,
% 8.96/9.13 ((v1_xboole_0(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0)))))) <=> (v1_xboole_0(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(39,plain,
% 8.96/9.13 (((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | (v1_xboole_0(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | (v1_xboole_0(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0)))))))),
% 8.96/9.13 inference(monotonicity,[status(thm)],[38])).
% 8.96/9.13 tff(40,plain,
% 8.96/9.13 (((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | (v1_xboole_0(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | v1_xboole_0(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))),
% 8.96/9.13 inference(transitivity,[status(thm)],[39, 37])).
% 8.96/9.13 tff(41,plain,
% 8.96/9.13 ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | (v1_xboole_0(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))))),
% 8.96/9.13 inference(quant_inst,[status(thm)],[])).
% 8.96/9.13 tff(42,plain,
% 8.96/9.13 ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~l2_altcat_1(k5_waybel34(A))))))) | v1_xboole_0(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0)))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[41, 40])).
% 8.96/9.13 tff(43,plain,
% 8.96/9.13 (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.13 inference(unit_resolution,[status(thm)],[42, 36, 23])).
% 8.96/9.13 tff(44,plain,
% 8.96/9.13 (((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0)))) | l2_altcat_1(k5_waybel34(A!0))),
% 8.96/9.13 inference(tautology,[status(thm)],[])).
% 8.96/9.13 tff(45,plain,
% 8.96/9.13 (l2_altcat_1(k5_waybel34(A!0))),
% 8.96/9.13 inference(unit_resolution,[status(thm)],[44, 43])).
% 8.96/9.13 tff(46,plain,
% 8.96/9.13 (^[A: $i] : refl((v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A)))))) <=> (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A)))))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(47,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A)))))) <=> ![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[46])).
% 8.96/9.13 tff(48,plain,
% 8.96/9.13 (^[A: $i] : rewrite((v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)))) <=> (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A)))))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(49,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[48])).
% 8.96/9.13 tff(50,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(51,plain,
% 8.96/9.13 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)))), (((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)))), (((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A))))), ((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)))), ((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A))))), (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)))), (((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A))))), ((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)))), ((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A))))), (((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)))), (((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A))))), ((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)))), ((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A))))), (((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)))), (((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A))))), ((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)))), ((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A))))), (((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)))), (((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A))))), ((((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A))) <=> (((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A))))), rewrite((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)))), ((((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A))) <=> ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))), (((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A)))) <=> ((~v2_setfam_1(A)) => ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)))))), rewrite(((~v2_setfam_1(A)) => ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)))) <=> (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))), (((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A)))) <=> (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))))),
% 8.96/9.13 inference(bind,[status(th)],[])).
% 8.96/9.13 tff(52,plain,
% 8.96/9.13 (![A: $i] : ((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))),
% 8.96/9.13 inference(quant_intro,[status(thm)],[51])).
% 8.96/9.13 tff(53,axiom,(![A: $i] : ((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A))) & v6_altcat_1(k5_waybel34(A))) & v9_altcat_1(k5_waybel34(A))) & v11_altcat_1(k5_waybel34(A))) & v12_altcat_1(k5_waybel34(A))) & v1_altcat_2(k5_waybel34(A))) & v2_yellow18(k5_waybel34(A))) & v3_yellow18(k5_waybel34(A))) & v4_yellow18(k5_waybel34(A))) & v1_yellow21(k5_waybel34(A))) & v2_yellow21(k5_waybel34(A))) & v3_yellow21(k5_waybel34(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fc6_waybel34')).
% 8.96/9.13 tff(54,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[53, 52])).
% 8.96/9.13 tff(55,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[54, 50])).
% 8.96/9.13 tff(56,plain,(
% 8.96/9.13 ![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k5_waybel34(A))) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v9_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v1_altcat_2(k5_waybel34(A)) & v2_yellow18(k5_waybel34(A)) & v3_yellow18(k5_waybel34(A)) & v4_yellow18(k5_waybel34(A)) & v1_yellow21(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A))))),
% 8.96/9.13 inference(skolemize,[status(sab)],[55])).
% 8.96/9.13 tff(57,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[56, 49])).
% 8.96/9.13 tff(58,plain,
% 8.96/9.13 (![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))),
% 8.96/9.13 inference(modus_ponens,[status(thm)],[57, 47])).
% 8.96/9.13 tff(59,plain,
% 8.96/9.13 (((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(60,plain,
% 8.96/9.13 ((v2_setfam_1(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))))) <=> (v2_setfam_1(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))),
% 8.96/9.13 inference(rewrite,[status(thm)],[])).
% 8.96/9.13 tff(61,plain,
% 8.96/9.13 (((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))))))),
% 8.96/9.13 inference(monotonicity,[status(thm)],[60])).
% 8.96/9.13 tff(62,plain,
% 8.96/9.13 (((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))),
% 8.96/9.14 inference(transitivity,[status(thm)],[61, 59])).
% 8.96/9.14 tff(63,plain,
% 8.96/9.14 ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~(v3_struct_0(k5_waybel34(A!0)) | (~v2_altcat_1(k5_waybel34(A!0))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))))),
% 8.96/9.14 inference(quant_inst,[status(thm)],[])).
% 8.96/9.14 tff(64,plain,
% 8.96/9.14 ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k5_waybel34(A)) | (~v2_altcat_1(k5_waybel34(A))) | (~v6_altcat_1(k5_waybel34(A))) | (~v11_altcat_1(k5_waybel34(A))) | (~v12_altcat_1(k5_waybel34(A))) | (~v2_yellow21(k5_waybel34(A))) | (~v9_altcat_1(k5_waybel34(A))) | (~v1_altcat_2(k5_waybel34(A))) | (~v2_yellow18(k5_waybel34(A))) | (~v3_yellow18(k5_waybel34(A))) | (~v4_yellow18(k5_waybel34(A))) | (~v1_yellow21(k5_waybel34(A))) | (~v3_yellow21(k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[63, 62])).
% 8.96/9.14 tff(65,plain,
% 8.96/9.14 (~((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0))))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[64, 19, 58])).
% 8.96/9.14 tff(66,plain,
% 8.96/9.14 (((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))) | v6_altcat_1(k5_waybel34(A!0))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(67,plain,
% 8.96/9.14 (v6_altcat_1(k5_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[66, 65])).
% 8.96/9.14 tff(68,plain,
% 8.96/9.14 (^[A: $i] : refl(((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A))) <=> ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(69,plain,
% 8.96/9.14 (![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A))) <=> ![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[68])).
% 8.96/9.14 tff(70,plain,
% 8.96/9.14 (![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A))) <=> ![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(71,plain,
% 8.96/9.14 (^[A: $i] : trans(monotonicity(rewrite((v6_altcat_1(A) => (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A)))) <=> ((~v6_altcat_1(A)) | (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))))), ((l2_altcat_1(A) => (v6_altcat_1(A) => (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))))) <=> (l2_altcat_1(A) => ((~v6_altcat_1(A)) | (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))))))), rewrite((l2_altcat_1(A) => ((~v6_altcat_1(A)) | (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))))) <=> ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))), ((l2_altcat_1(A) => (v6_altcat_1(A) => (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))))) <=> ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(72,plain,
% 8.96/9.14 (![A: $i] : (l2_altcat_1(A) => (v6_altcat_1(A) => (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))))) <=> ![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[71])).
% 8.96/9.14 tff(73,axiom,(![A: $i] : (l2_altcat_1(A) => (v6_altcat_1(A) => (A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','abstractness_v6_altcat_1')).
% 8.96/9.14 tff(74,plain,
% 8.96/9.14 (![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[73, 72])).
% 8.96/9.14 tff(75,plain,
% 8.96/9.14 (![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[74, 70])).
% 8.96/9.14 tff(76,plain,(
% 8.96/9.14 ![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(skolemize,[status(sab)],[75])).
% 8.96/9.14 tff(77,plain,
% 8.96/9.14 (![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[76, 69])).
% 8.96/9.14 tff(78,plain,
% 8.96/9.14 (((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | ((~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))) <=> ((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(79,plain,
% 8.96/9.14 (((k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0)))) <=> ((~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(80,plain,
% 8.96/9.14 (((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | ((k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))) <=> ((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | ((~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))),
% 8.96/9.14 inference(monotonicity,[status(thm)],[79])).
% 8.96/9.14 tff(81,plain,
% 8.96/9.14 (((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | ((k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))) <=> ((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 8.96/9.14 inference(transitivity,[status(thm)],[80, 78])).
% 8.96/9.14 tff(82,plain,
% 8.96/9.14 ((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | ((k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.14 inference(quant_inst,[status(thm)],[])).
% 8.96/9.14 tff(83,plain,
% 8.96/9.14 ((~![A: $i] : ((A = g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) | (~v6_altcat_1(A)) | (~l2_altcat_1(A)))) | (~v6_altcat_1(k5_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[82, 81])).
% 8.96/9.14 tff(84,plain,
% 8.96/9.14 (k5_waybel34(A!0) = g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[83, 77, 67, 45])).
% 8.96/9.14 tff(85,plain,
% 8.96/9.14 (g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))) = k5_waybel34(A!0)),
% 8.96/9.14 inference(symmetry,[status(thm)],[84])).
% 8.96/9.14 tff(86,plain,
% 8.96/9.14 (^[A: $i] : refl((v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A)))))) <=> (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A)))))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(87,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A)))))) <=> ![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[86])).
% 8.96/9.14 tff(88,plain,
% 8.96/9.14 (^[A: $i] : rewrite((v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)))) <=> (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A)))))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(89,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)))) <=> ![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[88])).
% 8.96/9.14 tff(90,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)))) <=> ![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(91,plain,
% 8.96/9.14 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)))), (((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)))), (((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A))))), ((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)))), ((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A))))), (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)))), (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A))))), ((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)))), ((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))), (((~v1_xboole_0(A)) => (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A)))) <=> ((~v1_xboole_0(A)) => ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)))))), rewrite(((~v1_xboole_0(A)) => ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)))) <=> (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))), (((~v1_xboole_0(A)) => (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A)))) <=> (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(92,plain,
% 8.96/9.14 (![A: $i] : ((~v1_xboole_0(A)) => (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A)))) <=> ![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[91])).
% 8.96/9.14 tff(93,axiom,(![A: $i] : ((~v1_xboole_0(A)) => (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & l2_altcat_1(k4_waybel34(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k4_waybel34')).
% 8.96/9.14 tff(94,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[93, 92])).
% 8.96/9.14 tff(95,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[94, 90])).
% 8.96/9.14 tff(96,plain,(
% 8.96/9.14 ![A: $i] : (v1_xboole_0(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))))),
% 8.96/9.14 inference(skolemize,[status(sab)],[95])).
% 8.96/9.14 tff(97,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[96, 89])).
% 8.96/9.14 tff(98,plain,
% 8.96/9.14 (![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[97, 87])).
% 8.96/9.14 tff(99,plain,
% 8.96/9.14 (((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))) | (v1_xboole_0(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))))))) <=> ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))) | v1_xboole_0(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))))))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(100,plain,
% 8.96/9.14 ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))) | (v1_xboole_0(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))))))),
% 8.96/9.14 inference(quant_inst,[status(thm)],[])).
% 8.96/9.14 tff(101,plain,
% 8.96/9.14 ((~![A: $i] : (v1_xboole_0(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~l2_altcat_1(k4_waybel34(A))))))) | v1_xboole_0(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0)))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[100, 99])).
% 8.96/9.14 tff(102,plain,
% 8.96/9.14 (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[101, 98, 23])).
% 8.96/9.14 tff(103,plain,
% 8.96/9.14 ((v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0)))) | l2_altcat_1(k4_waybel34(A!0))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(104,plain,
% 8.96/9.14 (l2_altcat_1(k4_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[103, 102])).
% 8.96/9.14 tff(105,plain,
% 8.96/9.14 (^[A: $i] : refl((v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A)))))) <=> (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A)))))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(106,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A)))))) <=> ![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[105])).
% 8.96/9.14 tff(107,plain,
% 8.96/9.14 (^[A: $i] : rewrite((v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)))) <=> (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A)))))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(108,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[107])).
% 8.96/9.14 tff(109,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(110,plain,
% 8.96/9.14 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)))), (((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)))), (((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A))))), ((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)))), ((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A))))), (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)))), (((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A))))), ((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)))), ((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A))))), (((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)))), (((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A))))), ((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)))), ((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A))))), (((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)))), (((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A))))), ((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)))), ((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A))))), (((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)))), (((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A))))), ((((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A))) <=> (((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A))))), rewrite((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)))), ((((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A))) <=> ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))), (((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A)))) <=> ((~v2_setfam_1(A)) => ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)))))), rewrite(((~v2_setfam_1(A)) => ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)))) <=> (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))), (((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A)))) <=> (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(111,plain,
% 8.96/9.14 (![A: $i] : ((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[110])).
% 8.96/9.14 tff(112,axiom,(![A: $i] : ((~v2_setfam_1(A)) => (((((((((((((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A))) & v6_altcat_1(k4_waybel34(A))) & v9_altcat_1(k4_waybel34(A))) & v11_altcat_1(k4_waybel34(A))) & v12_altcat_1(k4_waybel34(A))) & v1_altcat_2(k4_waybel34(A))) & v2_yellow18(k4_waybel34(A))) & v3_yellow18(k4_waybel34(A))) & v4_yellow18(k4_waybel34(A))) & v1_yellow21(k4_waybel34(A))) & v2_yellow21(k4_waybel34(A))) & v3_yellow21(k4_waybel34(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fc5_waybel34')).
% 8.96/9.14 tff(113,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[112, 111])).
% 8.96/9.14 tff(114,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[113, 109])).
% 8.96/9.14 tff(115,plain,(
% 8.96/9.14 ![A: $i] : (v2_setfam_1(A) | ((~v3_struct_0(k4_waybel34(A))) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v9_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v1_altcat_2(k4_waybel34(A)) & v2_yellow18(k4_waybel34(A)) & v3_yellow18(k4_waybel34(A)) & v4_yellow18(k4_waybel34(A)) & v1_yellow21(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))))),
% 8.96/9.14 inference(skolemize,[status(sab)],[114])).
% 8.96/9.14 tff(116,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[115, 108])).
% 8.96/9.14 tff(117,plain,
% 8.96/9.14 (![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[116, 106])).
% 8.96/9.14 tff(118,plain,
% 8.96/9.14 (((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))) | (v2_setfam_1(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0))))))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))) | v2_setfam_1(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0))))))),
% 8.96/9.14 inference(rewrite,[status(thm)],[])).
% 8.96/9.14 tff(119,plain,
% 8.96/9.14 ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))) | (v2_setfam_1(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0))))))),
% 8.96/9.14 inference(quant_inst,[status(thm)],[])).
% 8.96/9.14 tff(120,plain,
% 8.96/9.14 ((~![A: $i] : (v2_setfam_1(A) | (~(v3_struct_0(k4_waybel34(A)) | (~v2_altcat_1(k4_waybel34(A))) | (~v6_altcat_1(k4_waybel34(A))) | (~v11_altcat_1(k4_waybel34(A))) | (~v12_altcat_1(k4_waybel34(A))) | (~v2_yellow21(k4_waybel34(A))) | (~v9_altcat_1(k4_waybel34(A))) | (~v1_altcat_2(k4_waybel34(A))) | (~v2_yellow18(k4_waybel34(A))) | (~v3_yellow18(k4_waybel34(A))) | (~v4_yellow18(k4_waybel34(A))) | (~v1_yellow21(k4_waybel34(A))) | (~v3_yellow21(k4_waybel34(A))))))) | v2_setfam_1(A!0) | (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0)))))),
% 8.96/9.14 inference(modus_ponens,[status(thm)],[119, 118])).
% 8.96/9.14 tff(121,plain,
% 8.96/9.14 (~(v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0))))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[120, 19, 117])).
% 8.96/9.14 tff(122,plain,
% 8.96/9.14 ((v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0)))) | v12_altcat_1(k4_waybel34(A!0))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(123,plain,
% 8.96/9.14 (v12_altcat_1(k4_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[122, 121])).
% 8.96/9.14 tff(124,plain,
% 8.96/9.14 ((v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0)))) | v2_altcat_1(k4_waybel34(A!0))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(125,plain,
% 8.96/9.14 (v2_altcat_1(k4_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[124, 121])).
% 8.96/9.14 tff(126,plain,
% 8.96/9.14 ((v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v6_altcat_1(k4_waybel34(A!0))) | (~v11_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_yellow21(k4_waybel34(A!0))) | (~v9_altcat_1(k4_waybel34(A!0))) | (~v1_altcat_2(k4_waybel34(A!0))) | (~v2_yellow18(k4_waybel34(A!0))) | (~v3_yellow18(k4_waybel34(A!0))) | (~v4_yellow18(k4_waybel34(A!0))) | (~v1_yellow21(k4_waybel34(A!0))) | (~v3_yellow21(k4_waybel34(A!0)))) | (~v3_struct_0(k4_waybel34(A!0)))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(127,plain,
% 8.96/9.14 (~v3_struct_0(k4_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[126, 121])).
% 8.96/9.14 tff(128,plain,
% 8.96/9.14 (((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))) | v12_altcat_1(k5_waybel34(A!0))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(129,plain,
% 8.96/9.14 (v12_altcat_1(k5_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[128, 65])).
% 8.96/9.14 tff(130,plain,
% 8.96/9.14 (((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))) | (~v3_struct_0(k5_waybel34(A!0)))),
% 8.96/9.14 inference(tautology,[status(thm)],[])).
% 8.96/9.14 tff(131,plain,
% 8.96/9.14 (~v3_struct_0(k5_waybel34(A!0))),
% 8.96/9.14 inference(unit_resolution,[status(thm)],[130, 65])).
% 8.96/9.14 tff(132,plain,
% 8.96/9.14 (^[A: $i, B: $i] : rewrite((v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))))),
% 8.96/9.14 inference(bind,[status(th)],[])).
% 8.96/9.14 tff(133,plain,
% 8.96/9.14 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> ![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.14 inference(quant_intro,[status(thm)],[132])).
% 8.96/9.14 tff(134,plain,
% 8.96/9.14 (^[A: $i, B: $i] : refl((v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(135,plain,
% 8.96/9.15 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> ![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[134])).
% 8.96/9.15 tff(136,plain,
% 8.96/9.15 (^[A: $i, B: $i] : rewrite((v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(137,plain,
% 8.96/9.15 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> ![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[136])).
% 8.96/9.15 tff(138,plain,
% 8.96/9.15 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) <=> ![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))),
% 8.96/9.15 inference(transitivity,[status(thm)],[137, 135])).
% 8.96/9.15 tff(139,plain,
% 8.96/9.15 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B)) <=> (~(v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))))), ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) <=> (~(~(v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))))))), rewrite((~(~(v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))), ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))))), (((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))) <=> ((v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))))), rewrite(((v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))), (((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))) <=> (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(140,plain,
% 8.96/9.15 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))) <=> ![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[139])).
% 8.96/9.15 tff(141,plain,
% 8.96/9.15 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))) <=> ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(142,plain,
% 8.96/9.15 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A))), (((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A)) & l2_altcat_1(A)))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A)) & l2_altcat_1(A)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))), (((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)))), ((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)) & (~v3_struct_0(B))))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)) & (~v3_struct_0(B))) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)))), ((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B))))), (((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B))) & v12_altcat_1(B)))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B))) & v12_altcat_1(B)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B))), (((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B)))), ((((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) & l2_altcat_1(B)) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B)) & l2_altcat_1(B)))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))), ((((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) & l2_altcat_1(B)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B)))), quant_intro(proof_bind(^[C: $i] : rewrite((m2_functor0(C, A, B) => l2_functor0(C, A, B)) <=> ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))), (![C: $i] : (m2_functor0(C, A, B) => l2_functor0(C, A, B)) <=> ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))), (((((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) & l2_altcat_1(B)) => ![C: $i] : (m2_functor0(C, A, B) => l2_functor0(C, A, B))) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B)) => ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B)) => ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B))) <=> ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))), (((((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) & l2_altcat_1(B)) => ![C: $i] : (m2_functor0(C, A, B) => l2_functor0(C, A, B))) <=> ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(143,plain,
% 8.96/9.15 (![A: $i, B: $i] : ((((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) & l2_altcat_1(B)) => ![C: $i] : (m2_functor0(C, A, B) => l2_functor0(C, A, B))) <=> ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[142])).
% 8.96/9.15 tff(144,axiom,(![A: $i, B: $i] : ((((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) & (~v3_struct_0(B))) & v12_altcat_1(B)) & l2_altcat_1(B)) => ![C: $i] : (m2_functor0(C, A, B) => l2_functor0(C, A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_m2_functor0')).
% 8.96/9.15 tff(145,plain,
% 8.96/9.15 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[144, 143])).
% 8.96/9.15 tff(146,plain,
% 8.96/9.15 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[145, 141])).
% 8.96/9.15 tff(147,plain,(
% 8.96/9.15 ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & (~v3_struct_0(B)) & v12_altcat_1(B) & l2_altcat_1(B))) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.15 inference(skolemize,[status(sab)],[146])).
% 8.96/9.15 tff(148,plain,
% 8.96/9.15 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[147, 140])).
% 8.96/9.15 tff(149,plain,
% 8.96/9.15 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[148, 138])).
% 8.96/9.15 tff(150,plain,
% 8.96/9.15 (![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[149, 133])).
% 8.96/9.15 tff(151,plain,
% 8.96/9.15 (((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | (v3_struct_0(k5_waybel34(A!0)) | (~v12_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | v3_struct_0(k5_waybel34(A!0)) | (~v12_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(152,plain,
% 8.96/9.15 ((v3_struct_0(k5_waybel34(A!0)) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))) <=> (v3_struct_0(k5_waybel34(A!0)) | (~v12_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(153,plain,
% 8.96/9.15 (((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | (v3_struct_0(k5_waybel34(A!0)) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | (v3_struct_0(k5_waybel34(A!0)) | (~v12_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))))),
% 8.96/9.15 inference(monotonicity,[status(thm)],[152])).
% 8.96/9.15 tff(154,plain,
% 8.96/9.15 (((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | (v3_struct_0(k5_waybel34(A!0)) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | v3_struct_0(k5_waybel34(A!0)) | (~v12_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.15 inference(transitivity,[status(thm)],[153, 151])).
% 8.96/9.15 tff(155,plain,
% 8.96/9.15 ((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | (v3_struct_0(k5_waybel34(A!0)) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.15 inference(quant_inst,[status(thm)],[])).
% 8.96/9.15 tff(156,plain,
% 8.96/9.15 ((~![A: $i, B: $i] : (v3_struct_0(B) | v3_struct_0(A) | (~l2_altcat_1(B)) | (~v2_altcat_1(A)) | (~v12_altcat_1(A)) | (~l2_altcat_1(A)) | (~v12_altcat_1(B)) | ![C: $i] : ((~m2_functor0(C, A, B)) | l2_functor0(C, A, B)))) | v3_struct_0(k5_waybel34(A!0)) | (~v12_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k4_waybel34(A!0)) | (~v2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k4_waybel34(A!0))) | (~l2_altcat_1(k5_waybel34(A!0))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[155, 154])).
% 8.96/9.15 tff(157,plain,
% 8.96/9.15 (![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.15 inference(unit_resolution,[status(thm)],[156, 150, 131, 129, 127, 125, 123, 104, 45])).
% 8.96/9.15 tff(158,plain,
% 8.96/9.15 (^[A: $i] : refl((v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))) <=> (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(159,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))) <=> ![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[158])).
% 8.96/9.15 tff(160,plain,
% 8.96/9.15 (^[A: $i] : rewrite((v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(161,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[160])).
% 8.96/9.15 tff(162,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(163,plain,
% 8.96/9.15 (^[A: $i] : trans(monotonicity(rewrite(((v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), (((~v2_setfam_1(A)) => ((v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ((~v2_setfam_1(A)) => (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))), rewrite(((~v2_setfam_1(A)) => (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), (((~v2_setfam_1(A)) => ((v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(164,plain,
% 8.96/9.15 (![A: $i] : ((~v2_setfam_1(A)) => ((v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[163])).
% 8.96/9.15 tff(165,axiom,(![A: $i] : ((~v2_setfam_1(A)) => ((v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k6_waybel34')).
% 8.96/9.15 tff(166,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[165, 164])).
% 8.96/9.15 tff(167,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[166, 162])).
% 8.96/9.15 tff(168,plain,(
% 8.96/9.15 ![A: $i] : (v2_setfam_1(A) | (v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(skolemize,[status(sab)],[167])).
% 8.96/9.15 tff(169,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[168, 161])).
% 8.96/9.15 tff(170,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[169, 159])).
% 8.96/9.15 tff(171,plain,
% 8.96/9.15 (((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(172,plain,
% 8.96/9.15 ((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))))),
% 8.96/9.15 inference(quant_inst,[status(thm)],[])).
% 8.96/9.15 tff(173,plain,
% 8.96/9.15 ((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~m2_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[172, 171])).
% 8.96/9.15 tff(174,plain,
% 8.96/9.15 (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.15 inference(unit_resolution,[status(thm)],[173, 19, 170])).
% 8.96/9.15 tff(175,plain,
% 8.96/9.15 (((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))) | m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.15 inference(tautology,[status(thm)],[])).
% 8.96/9.15 tff(176,plain,
% 8.96/9.15 (m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.15 inference(unit_resolution,[status(thm)],[175, 174])).
% 8.96/9.15 tff(177,plain,
% 8.96/9.15 (((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))) | ((~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))) <=> ((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(178,plain,
% 8.96/9.15 ((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))) | ((~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.15 inference(quant_inst,[status(thm)],[])).
% 8.96/9.15 tff(179,plain,
% 8.96/9.15 ((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(C, k4_waybel34(A!0), k5_waybel34(A!0)))) | (~m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[178, 177])).
% 8.96/9.15 tff(180,plain,
% 8.96/9.15 (l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.15 inference(unit_resolution,[status(thm)],[179, 176, 157])).
% 8.96/9.15 tff(181,plain,
% 8.96/9.15 (^[A: $i] : refl((l1_altcat_1(A) | (~l2_altcat_1(A))) <=> (l1_altcat_1(A) | (~l2_altcat_1(A))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(182,plain,
% 8.96/9.15 (![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A))) <=> ![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[181])).
% 8.96/9.15 tff(183,plain,
% 8.96/9.15 (![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A))) <=> ![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(184,plain,
% 8.96/9.15 (^[A: $i] : rewrite((l2_altcat_1(A) => l1_altcat_1(A)) <=> (l1_altcat_1(A) | (~l2_altcat_1(A))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(185,plain,
% 8.96/9.15 (![A: $i] : (l2_altcat_1(A) => l1_altcat_1(A)) <=> ![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[184])).
% 8.96/9.15 tff(186,axiom,(![A: $i] : (l2_altcat_1(A) => l1_altcat_1(A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_l2_altcat_1')).
% 8.96/9.15 tff(187,plain,
% 8.96/9.15 (![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[186, 185])).
% 8.96/9.15 tff(188,plain,
% 8.96/9.15 (![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[187, 183])).
% 8.96/9.15 tff(189,plain,(
% 8.96/9.15 ![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(skolemize,[status(sab)],[188])).
% 8.96/9.15 tff(190,plain,
% 8.96/9.15 (![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[189, 182])).
% 8.96/9.15 tff(191,plain,
% 8.96/9.15 (((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | (l1_altcat_1(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))))) <=> ((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | l1_altcat_1(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(192,plain,
% 8.96/9.15 ((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | (l1_altcat_1(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))))),
% 8.96/9.15 inference(quant_inst,[status(thm)],[])).
% 8.96/9.15 tff(193,plain,
% 8.96/9.15 ((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | l1_altcat_1(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[192, 191])).
% 8.96/9.15 tff(194,plain,
% 8.96/9.15 (l1_altcat_1(k4_waybel34(A!0))),
% 8.96/9.15 inference(unit_resolution,[status(thm)],[193, 190, 104])).
% 8.96/9.15 tff(195,plain,
% 8.96/9.15 (((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | (l1_altcat_1(k5_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))))) <=> ((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | l1_altcat_1(k5_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(196,plain,
% 8.96/9.15 ((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | (l1_altcat_1(k5_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.15 inference(quant_inst,[status(thm)],[])).
% 8.96/9.15 tff(197,plain,
% 8.96/9.15 ((~![A: $i] : (l1_altcat_1(A) | (~l2_altcat_1(A)))) | l1_altcat_1(k5_waybel34(A!0)) | (~l2_altcat_1(k5_waybel34(A!0)))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[196, 195])).
% 8.96/9.15 tff(198,plain,
% 8.96/9.15 (l1_altcat_1(k5_waybel34(A!0))),
% 8.96/9.15 inference(unit_resolution,[status(thm)],[197, 190, 45])).
% 8.96/9.15 tff(199,plain,
% 8.96/9.15 (^[A: $i] : refl((v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))) <=> (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(200,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))) <=> ![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[199])).
% 8.96/9.15 tff(201,plain,
% 8.96/9.15 (^[A: $i] : rewrite((v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(202,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[201])).
% 8.96/9.15 tff(203,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(204,plain,
% 8.96/9.15 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), ((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> ((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), rewrite(((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), ((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), (((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> ((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), rewrite(((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), (((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), ((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> ((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), rewrite(((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), ((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), (((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> ((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), rewrite(((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), (((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), ((((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> ((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), rewrite(((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))), ((((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) <=> (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), (((~v2_setfam_1(A)) => (((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ((~v2_setfam_1(A)) => (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))))), rewrite(((~v2_setfam_1(A)) => (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), (((~v2_setfam_1(A)) => (((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(bind,[status(th)],[])).
% 8.96/9.15 tff(205,plain,
% 8.96/9.15 (![A: $i] : ((~v2_setfam_1(A)) => (((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)))) <=> ![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(quant_intro,[status(thm)],[204])).
% 8.96/9.15 tff(206,axiom,(![A: $i] : ((~v2_setfam_1(A)) => (((((((v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fc7_waybel34')).
% 8.96/9.15 tff(207,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[206, 205])).
% 8.96/9.15 tff(208,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[207, 203])).
% 8.96/9.15 tff(209,plain,(
% 8.96/9.15 ![A: $i] : (v2_setfam_1(A) | (v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A)) & v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))),
% 8.96/9.15 inference(skolemize,[status(sab)],[208])).
% 8.96/9.15 tff(210,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[209, 202])).
% 8.96/9.15 tff(211,plain,
% 8.96/9.15 (![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))),
% 8.96/9.15 inference(modus_ponens,[status(thm)],[210, 200])).
% 8.96/9.15 tff(212,plain,
% 8.96/9.15 (((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))))) <=> ((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))))),
% 8.96/9.15 inference(rewrite,[status(thm)],[])).
% 8.96/9.15 tff(213,plain,
% 8.96/9.15 ((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | (v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))))),
% 8.96/9.16 inference(quant_inst,[status(thm)],[])).
% 8.96/9.16 tff(214,plain,
% 8.96/9.16 ((~![A: $i] : (v2_setfam_1(A) | (~((~v9_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v16_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v6_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v8_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v11_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v12_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v14_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))) | (~v21_functor0(k6_waybel34(A), k4_waybel34(A), k5_waybel34(A))))))) | v2_setfam_1(A!0) | (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[213, 212])).
% 8.96/9.16 tff(215,plain,
% 8.96/9.16 (~((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[214, 19, 211])).
% 8.96/9.16 tff(216,plain,
% 8.96/9.16 (((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))) | v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(tautology,[status(thm)],[])).
% 8.96/9.16 tff(217,plain,
% 8.96/9.16 (v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[216, 215])).
% 8.96/9.16 tff(218,plain,
% 8.96/9.16 (^[A: $i, B: $i, C: $i] : refl(((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))) <=> ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))))),
% 8.96/9.16 inference(bind,[status(th)],[])).
% 8.96/9.16 tff(219,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))) <=> ![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))),
% 8.96/9.16 inference(quant_intro,[status(thm)],[218])).
% 8.96/9.16 tff(220,plain,
% 8.96/9.16 (^[A: $i, B: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)) <=> (~((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))))), ((~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))) <=> (~(~((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))))))), rewrite((~(~((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))))) <=> ((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))), ((~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))) <=> ((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B))))), (((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)))) <=> ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | ((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))))), rewrite(((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | ((~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) <=> ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))), (((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)))) <=> ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))))),
% 8.96/9.16 inference(bind,[status(th)],[])).
% 8.96/9.16 tff(221,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)))) <=> ![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))),
% 8.96/9.16 inference(quant_intro,[status(thm)],[220])).
% 8.96/9.16 tff(222,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)))) <=> ![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))),
% 8.96/9.16 inference(rewrite,[status(thm)],[])).
% 8.96/9.16 tff(223,plain,
% 8.96/9.16 (^[A: $i, B: $i, C: $i] : trans(monotonicity(rewrite(((l1_altcat_1(A) & l1_altcat_1(B)) & l2_functor0(C, A, B)) <=> (l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))), rewrite((v9_functor0(C, A, B) => (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C)))) <=> ((~v9_functor0(C, A, B)) | (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))))), ((((l1_altcat_1(A) & l1_altcat_1(B)) & l2_functor0(C, A, B)) => (v9_functor0(C, A, B) => (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))))) <=> ((l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)) => ((~v9_functor0(C, A, B)) | (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))))))), rewrite(((l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B)) => ((~v9_functor0(C, A, B)) | (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))))) <=> ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))), ((((l1_altcat_1(A) & l1_altcat_1(B)) & l2_functor0(C, A, B)) => (v9_functor0(C, A, B) => (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))))) <=> ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))))),
% 8.96/9.16 inference(bind,[status(th)],[])).
% 8.96/9.16 tff(224,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : (((l1_altcat_1(A) & l1_altcat_1(B)) & l2_functor0(C, A, B)) => (v9_functor0(C, A, B) => (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))))) <=> ![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))),
% 8.96/9.16 inference(quant_intro,[status(thm)],[223])).
% 8.96/9.16 tff(225,axiom,(![A: $i, B: $i, C: $i] : (((l1_altcat_1(A) & l1_altcat_1(B)) & l2_functor0(C, A, B)) => (v9_functor0(C, A, B) => (C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','abstractness_v9_functor0')).
% 8.96/9.16 tff(226,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[225, 224])).
% 8.96/9.16 tff(227,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[226, 222])).
% 8.96/9.16 tff(228,plain,(
% 8.96/9.16 ![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~(l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C, A, B))))),
% 8.96/9.16 inference(skolemize,[status(sab)],[227])).
% 8.96/9.16 tff(229,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[228, 221])).
% 8.96/9.16 tff(230,plain,
% 8.96/9.16 (![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[229, 219])).
% 8.96/9.16 tff(231,plain,
% 8.96/9.16 (((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | ((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))) <=> ((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.16 inference(rewrite,[status(thm)],[])).
% 8.96/9.16 tff(232,plain,
% 8.96/9.16 (((k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0)))) <=> ((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.16 inference(rewrite,[status(thm)],[])).
% 8.96/9.16 tff(233,plain,
% 8.96/9.16 (((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | ((k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))))) <=> ((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | ((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[232])).
% 8.96/9.16 tff(234,plain,
% 8.96/9.16 (((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | ((k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))))) <=> ((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))))),
% 8.96/9.16 inference(transitivity,[status(thm)],[233, 231])).
% 8.96/9.16 tff(235,plain,
% 8.96/9.16 ((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | ((k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(quant_inst,[status(thm)],[])).
% 8.96/9.16 tff(236,plain,
% 8.96/9.16 ((~![A: $i, B: $i, C: $i] : ((C = g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) | (~v9_functor0(C, A, B)) | (~l2_functor0(C, A, B)) | (~l1_altcat_1(A)) | (~l1_altcat_1(B)))) | (~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~l1_altcat_1(k5_waybel34(A!0))) | (~l1_altcat_1(k4_waybel34(A!0))) | (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[235, 234])).
% 8.96/9.16 tff(237,plain,
% 8.96/9.16 ((k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))) | (~l2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[236, 230, 217, 198, 194])).
% 8.96/9.16 tff(238,plain,
% 8.96/9.16 (k6_waybel34(A!0) = g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[237, 180])).
% 8.96/9.16 tff(239,plain,
% 8.96/9.16 (g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))) = k6_waybel34(A!0)),
% 8.96/9.16 inference(symmetry,[status(thm)],[238])).
% 8.96/9.16 tff(240,plain,
% 8.96/9.16 (v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[239, 85])).
% 8.96/9.16 tff(241,plain,
% 8.96/9.16 (v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)) <=> v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[240])).
% 8.96/9.16 tff(242,plain,
% 8.96/9.16 (((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))) | v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(tautology,[status(thm)],[])).
% 8.96/9.16 tff(243,plain,
% 8.96/9.16 (v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[242, 215])).
% 8.96/9.16 tff(244,plain,
% 8.96/9.16 (v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[243, 241])).
% 8.96/9.16 tff(245,plain,
% 8.96/9.16 (m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[239, 85])).
% 8.96/9.16 tff(246,plain,
% 8.96/9.16 (m2_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)) <=> m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[245])).
% 8.96/9.16 tff(247,plain,
% 8.96/9.16 (m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[176, 246])).
% 8.96/9.16 tff(248,plain,
% 8.96/9.16 (v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[239, 85])).
% 8.96/9.16 tff(249,plain,
% 8.96/9.16 (v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)) <=> v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[248])).
% 8.96/9.16 tff(250,plain,
% 8.96/9.16 (((~v9_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v6_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v8_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v11_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v12_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v14_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))) | (~v21_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0)))) | v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(tautology,[status(thm)],[])).
% 8.96/9.16 tff(251,plain,
% 8.96/9.16 (v16_functor0(k6_waybel34(A!0), k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[250, 215])).
% 8.96/9.16 tff(252,plain,
% 8.96/9.16 (v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[251, 249])).
% 8.96/9.16 tff(253,plain,
% 8.96/9.16 (r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> r2_functor0(k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[85])).
% 8.96/9.16 tff(254,plain,
% 8.96/9.16 (r2_functor0(k4_waybel34(A!0), k5_waybel34(A!0)) <=> r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[253])).
% 8.96/9.16 tff(255,plain,
% 8.96/9.16 ((~r2_functor0(k4_waybel34(A!0), k5_waybel34(A!0))) <=> (~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[254])).
% 8.96/9.16 tff(256,plain,
% 8.96/9.16 (~r2_functor0(k4_waybel34(A!0), k5_waybel34(A!0))),
% 8.96/9.16 inference(or_elim,[status(thm)],[18])).
% 8.96/9.16 tff(257,plain,
% 8.96/9.16 (~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[256, 255])).
% 8.96/9.16 tff(258,plain,
% 8.96/9.16 (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> v3_struct_0(k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[85])).
% 8.96/9.16 tff(259,plain,
% 8.96/9.16 (v3_struct_0(k5_waybel34(A!0)) <=> v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[258])).
% 8.96/9.16 tff(260,plain,
% 8.96/9.16 ((~v3_struct_0(k5_waybel34(A!0))) <=> (~v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[259])).
% 8.96/9.16 tff(261,plain,
% 8.96/9.16 (~v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[131, 260])).
% 8.96/9.16 tff(262,plain,
% 8.96/9.16 (v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> v2_altcat_1(k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[85])).
% 8.96/9.16 tff(263,plain,
% 8.96/9.16 (v2_altcat_1(k5_waybel34(A!0)) <=> v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[262])).
% 8.96/9.16 tff(264,plain,
% 8.96/9.16 (((~v2_altcat_1(k5_waybel34(A!0))) | v3_struct_0(k5_waybel34(A!0)) | (~v6_altcat_1(k5_waybel34(A!0))) | (~v11_altcat_1(k5_waybel34(A!0))) | (~v12_altcat_1(k5_waybel34(A!0))) | (~v2_yellow21(k5_waybel34(A!0))) | (~v9_altcat_1(k5_waybel34(A!0))) | (~v1_altcat_2(k5_waybel34(A!0))) | (~v2_yellow18(k5_waybel34(A!0))) | (~v3_yellow18(k5_waybel34(A!0))) | (~v4_yellow18(k5_waybel34(A!0))) | (~v1_yellow21(k5_waybel34(A!0))) | (~v3_yellow21(k5_waybel34(A!0)))) | v2_altcat_1(k5_waybel34(A!0))),
% 8.96/9.16 inference(tautology,[status(thm)],[])).
% 8.96/9.16 tff(265,plain,
% 8.96/9.16 (v2_altcat_1(k5_waybel34(A!0))),
% 8.96/9.16 inference(unit_resolution,[status(thm)],[264, 65])).
% 8.96/9.16 tff(266,plain,
% 8.96/9.16 (v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[265, 263])).
% 8.96/9.16 tff(267,plain,
% 8.96/9.16 (v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> v12_altcat_1(k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[85])).
% 8.96/9.16 tff(268,plain,
% 8.96/9.16 (v12_altcat_1(k5_waybel34(A!0)) <=> v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[267])).
% 8.96/9.16 tff(269,plain,
% 8.96/9.16 (v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[129, 268])).
% 8.96/9.16 tff(270,plain,
% 8.96/9.16 (l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) <=> l2_altcat_1(k5_waybel34(A!0))),
% 8.96/9.16 inference(monotonicity,[status(thm)],[85])).
% 8.96/9.16 tff(271,plain,
% 8.96/9.16 (l2_altcat_1(k5_waybel34(A!0)) <=> l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(symmetry,[status(thm)],[270])).
% 8.96/9.16 tff(272,plain,
% 8.96/9.16 (l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))),
% 8.96/9.16 inference(modus_ponens,[status(thm)],[45, 271])).
% 8.96/9.16 tff(273,plain,
% 8.96/9.16 (^[A: $i] : refl((v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))) <=> (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))))),
% 8.96/9.16 inference(bind,[status(th)],[])).
% 8.96/9.16 tff(274,plain,
% 8.96/9.16 (![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))),
% 8.96/9.16 inference(quant_intro,[status(thm)],[273])).
% 8.96/9.16 tff(275,plain,
% 8.96/9.16 (^[A: $i] : rewrite((v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))) <=> (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))))),
% 8.96/9.16 inference(bind,[status(th)],[])).
% 8.96/9.16 tff(276,plain,
% 8.96/9.16 (![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))),
% 8.96/9.16 inference(quant_intro,[status(thm)],[275])).
% 8.96/9.16 tff(277,plain,
% 8.96/9.16 (![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))),
% 8.96/9.16 inference(transitivity,[status(thm)],[276, 274])).
% 8.96/9.16 tff(278,plain,
% 8.96/9.16 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)) <=> (~(v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A))))), ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) <=> (~(~(v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A))))))), rewrite((~(~(v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A))))) <=> (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)))), ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) <=> (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B)) <=> (~(v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B))))), ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) <=> (~(~(v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B))))))), rewrite((~(~(v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B))))) <=> (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)))), ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) <=> (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B))))), trans(monotonicity(rewrite(((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) <=> ((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))), rewrite((r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))) <=> (r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))), ((((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))) <=> (((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B))))) & (r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))), rewrite((((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B))))) & (r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))) <=> (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))), ((((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))) <=> (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))), (((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))) <=> ((v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B))) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))), rewrite(((v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B))) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))) <=> (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))), (((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))) <=> (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))))), (![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))) <=> ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))), (((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))))) <=> ((v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))))), rewrite(((v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B))))))))) <=> (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))), (((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))))) <=> (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))))),
% 8.96/9.16 inference(bind,[status(th)],[])).
% 8.96/9.16 tff(279,plain,
% 8.96/9.16 (![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))),
% 8.96/9.16 inference(quant_intro,[status(thm)],[278])).
% 8.96/9.16 tff(280,plain,
% 8.96/9.16 (![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))),
% 8.96/9.16 inference(rewrite,[status(thm)],[])).
% 8.96/9.16 tff(281,plain,
% 8.96/9.16 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A))), (((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A)) & l2_altcat_1(A)))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A)) & l2_altcat_1(A)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))), (((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) <=> ((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) <=> ((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B))), (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) <=> (((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B)) & l2_altcat_1(B)))), rewrite((((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B)) & l2_altcat_1(B)) <=> ((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))), (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) <=> ((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B)))), rewrite((r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B))) <=> (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))), ((((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B)))) <=> (((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))), rewrite((((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))) <=> ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))), ((((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B)))) <=> ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))))), (![B: $i] : (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B)))) <=> ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))), ((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) => ![B: $i] : (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B))))) <=> (((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))))), rewrite((((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B))))) <=> ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))), ((((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) => ![B: $i] : (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B))))) <=> ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))))),
% 8.96/9.17 inference(bind,[status(th)],[])).
% 8.96/9.17 tff(282,plain,
% 8.96/9.17 (![A: $i] : (((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) => ![B: $i] : (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))),
% 8.96/9.17 inference(quant_intro,[status(thm)],[281])).
% 8.96/9.17 tff(283,axiom,(![A: $i] : (((((~v3_struct_0(A)) & v2_altcat_1(A)) & v12_altcat_1(A)) & l2_altcat_1(A)) => ![B: $i] : (((((~v3_struct_0(B)) & v2_altcat_1(B)) & v12_altcat_1(B)) & l2_altcat_1(B)) => (r2_functor0(A, B) <=> ?[C: $i] : ((m2_functor0(C, A, B) & v21_functor0(C, A, B)) & v16_functor0(C, A, B)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d41_functor0')).
% 8.96/9.17 tff(284,plain,
% 8.96/9.17 (![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))),
% 8.96/9.17 inference(modus_ponens,[status(thm)],[283, 282])).
% 8.96/9.17 tff(285,plain,
% 8.96/9.17 (![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (r2_functor0(A, B) <=> ?[C: $i] : (m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))),
% 8.96/9.17 inference(modus_ponens,[status(thm)],[284, 280])).
% 8.96/9.17 tff(286,plain,(
% 8.96/9.17 ![A: $i] : ((~((~v3_struct_0(A)) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B))) | (((~r2_functor0(A, B)) | (m2_functor0(tptp_fun_C_1(B, A), A, B) & v21_functor0(tptp_fun_C_1(B, A), A, B) & v16_functor0(tptp_fun_C_1(B, A), A, B))) & (r2_functor0(A, B) | ![C: $i] : (~(m2_functor0(C, A, B) & v21_functor0(C, A, B) & v16_functor0(C, A, B)))))))),
% 8.96/9.17 inference(skolemize,[status(sab)],[285])).
% 8.96/9.17 tff(287,plain,
% 8.96/9.17 (![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))),
% 8.96/9.17 inference(modus_ponens,[status(thm)],[286, 279])).
% 8.96/9.17 tff(288,plain,
% 8.96/9.17 (![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))),
% 8.96/9.17 inference(modus_ponens,[status(thm)],[287, 277])).
% 8.96/9.17 tff(289,plain,
% 8.96/9.17 (((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | (v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B))))))))))),
% 8.96/9.17 inference(rewrite,[status(thm)],[])).
% 8.96/9.17 tff(290,plain,
% 8.96/9.17 ((v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))) | (~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))))))) <=> (v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B))))))))))),
% 8.96/9.17 inference(rewrite,[status(thm)],[])).
% 8.96/9.17 tff(291,plain,
% 8.96/9.17 (((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | (v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))) | (~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | (v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))))),
% 8.96/9.17 inference(monotonicity,[status(thm)],[290])).
% 8.96/9.17 tff(292,plain,
% 8.96/9.17 (((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | (v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))) | (~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B))))))))))),
% 8.96/9.17 inference(transitivity,[status(thm)],[291, 289])).
% 8.96/9.17 tff(293,plain,
% 8.96/9.17 ((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | (v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))) | (~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B)))))))))),
% 8.96/9.17 inference(quant_inst,[status(thm)],[])).
% 8.96/9.17 tff(294,plain,
% 8.96/9.17 ((~![A: $i] : (v3_struct_0(A) | (~l2_altcat_1(A)) | (~v12_altcat_1(A)) | (~v2_altcat_1(A)) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~((~r2_functor0(A, B)) | (~((~m2_functor0(tptp_fun_C_1(B, A), A, B)) | (~v21_functor0(tptp_fun_C_1(B, A), A, B)) | (~v16_functor0(tptp_fun_C_1(B, A), A, B)))))) | (~(r2_functor0(A, B) | ![C: $i] : ((~m2_functor0(C, A, B)) | (~v16_functor0(C, A, B)) | (~v21_functor0(C, A, B)))))))))) | v3_struct_0(k4_waybel34(A!0)) | (~l2_altcat_1(k4_waybel34(A!0))) | (~v12_altcat_1(k4_waybel34(A!0))) | (~v2_altcat_1(k4_waybel34(A!0))) | ![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))),
% 8.96/9.17 inference(modus_ponens,[status(thm)],[293, 292])).
% 8.96/9.17 tff(295,plain,
% 8.96/9.17 (![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))),
% 8.96/9.17 inference(unit_resolution,[status(thm)],[294, 288, 127, 125, 123, 104])).
% 8.96/9.17 tff(296,plain,
% 8.96/9.17 (((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))),
% 8.96/9.17 inference(rewrite,[status(thm)],[])).
% 8.96/9.17 tff(297,plain,
% 8.96/9.17 ((v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))))))) <=> (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))),
% 8.96/9.17 inference(rewrite,[status(thm)],[])).
% 8.96/9.17 tff(298,plain,
% 8.96/9.17 (((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))))))))),
% 8.96/9.17 inference(monotonicity,[status(thm)],[297])).
% 8.96/9.17 tff(299,plain,
% 8.96/9.17 (((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))),
% 8.96/9.17 inference(transitivity,[status(thm)],[298, 296])).
% 8.96/9.17 tff(300,plain,
% 8.96/9.17 ((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))))),
% 8.96/9.18 inference(quant_inst,[status(thm)],[])).
% 8.96/9.18 tff(301,plain,
% 8.96/9.18 ((~![B: $i] : (v3_struct_0(B) | (~l2_altcat_1(B)) | (~v12_altcat_1(B)) | (~v2_altcat_1(B)) | (~((~(r2_functor0(k4_waybel34(A!0), B) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), B)) | (~v16_functor0(C, k4_waybel34(A!0), B)) | (~v21_functor0(C, k4_waybel34(A!0), B))))) | (~((~r2_functor0(k4_waybel34(A!0), B)) | (~((~v16_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~v21_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)) | (~m2_functor0(tptp_fun_C_1(B, k4_waybel34(A!0)), k4_waybel34(A!0), B)))))))))) | v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))))))),
% 8.96/9.18 inference(modus_ponens,[status(thm)],[300, 299])).
% 8.96/9.18 tff(302,plain,
% 8.96/9.18 (v3_struct_0(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | (~l2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v12_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v2_altcat_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))))))),
% 8.96/9.18 inference(unit_resolution,[status(thm)],[301, 295])).
% 8.96/9.18 tff(303,plain,
% 8.96/9.18 (~((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))))))),
% 9.02/9.18 inference(unit_resolution,[status(thm)],[302, 272, 269, 266, 261])).
% 9.02/9.18 tff(304,plain,
% 9.02/9.18 (((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | (~((~r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~((~m2_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(tptp_fun_C_1(g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))), k4_waybel34(A!0)), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))))) | (r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))),
% 9.02/9.18 inference(tautology,[status(thm)],[])).
% 9.02/9.18 tff(305,plain,
% 9.02/9.18 (r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))),
% 9.02/9.18 inference(unit_resolution,[status(thm)],[304, 303])).
% 9.02/9.18 tff(306,plain,
% 9.02/9.18 ((~(r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))))) | r2_functor0(k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))) | ![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))),
% 9.02/9.18 inference(tautology,[status(thm)],[])).
% 9.02/9.18 tff(307,plain,
% 9.02/9.18 (![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))),
% 9.02/9.18 inference(unit_resolution,[status(thm)],[306, 305, 257])).
% 9.02/9.18 tff(308,plain,
% 9.02/9.18 (((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))) | ((~m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))) <=> ((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))) | (~m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))),
% 9.02/9.18 inference(rewrite,[status(thm)],[])).
% 9.02/9.18 tff(309,plain,
% 9.02/9.18 ((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))) | ((~m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))),
% 9.02/9.18 inference(quant_inst,[status(thm)],[])).
% 9.02/9.18 tff(310,plain,
% 9.02/9.18 ((~![C: $i] : ((~m2_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(C, k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))))) | (~m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 9.02/9.18 inference(modus_ponens,[status(thm)],[309, 308])).
% 9.02/9.18 tff(311,plain,
% 9.02/9.18 ((~m2_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v16_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0))))) | (~v21_functor0(g2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), u1_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0)), u2_functor0(k4_waybel34(A!0), k5_waybel34(A!0), k6_waybel34(A!0))), k4_waybel34(A!0), g2_altcat_1(u1_struct_0(k5_waybel34(A!0)), u1_altcat_1(k5_waybel34(A!0)), u2_altcat_1(k5_waybel34(A!0)))))),
% 9.02/9.21 inference(unit_resolution,[status(thm)],[310, 307])).
% 9.02/9.21 tff(312,plain,
% 9.02/9.21 ($false),
% 9.02/9.21 inference(unit_resolution,[status(thm)],[311, 252, 247, 244])).
% 9.02/9.21 % SZS output end Proof
% 9.02/9.23 % E exiting
%------------------------------------------------------------------------------