%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : ITP386_1 : TPTP v9.0.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:12:47 AM UTC 2025
% Result : Theorem 0.40s 0.58s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP386_1 : TPTP v9.0.0. Released v8.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 18:52:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.40/0.58 % SZS status Theorem
% 0.40/0.58 % SZS output start Proof
% 0.40/0.58 tff(tptp_fun__fun_app_an__type, type, (
% 0.40/0.58 tptp_fun__fun_app_an_: ( |'B_option_c_option_fun$'| * |'B_option$'| ) > |'C_option$'|)).
% 0.40/0.58 tff(tptp_fun__fun_app_g__type, type, (
% 0.40/0.58 tptp_fun__fun_app_g_: ( |'B_b_option_fun$'| * |'B$'| ) > |'B_option$'|)).
% 0.40/0.58 tff(tptp_fun__fun_app_m__type, type, (
% 0.40/0.58 tptp_fun__fun_app_m_: ( |'C_b_fun$'| * |'C$'| ) > |'B$'|)).
% 0.40/0.58 tff(tptp_fun_A__questionmark_v3_0_type, type, (
% 0.40/0.58 tptp_fun_A__questionmark_v3_0: ( |'C_b_fun$'| * |'B_c_c_fun_fun$'| ) > |'C$'|)).
% 0.40/0.58 tff(tptp_fun_A__questionmark_v2_37_type, type, (
% 0.40/0.58 tptp_fun_A__questionmark_v2_37: |'B_b_option_fun_c_c_option_fun_fun$'| > |'B_c_c_fun_fun$'|)).
% 0.40/0.58 tff(tptp_fun__g___type, type, (
% 0.40/0.58 tptp_fun__g__: |'B_b_option_fun_c_c_option_fun_fun$'|)).
% 0.40/0.58 tff(tptp_fun_A__questionmark_v1_38_type, type, (
% 0.40/0.58 tptp_fun_A__questionmark_v1_38: |'B_b_option_fun_c_c_option_fun_fun$'| > |'C_b_fun$'|)).
% 0.40/0.58 tff(tptp_fun_A__questionmark_v2_1_type, type, (
% 0.40/0.58 tptp_fun_A__questionmark_v2_1: ( |'C_b_fun$'| * |'B_c_c_fun_fun$'| ) > |'B_b_option_fun$'|)).
% 0.40/0.58 tff(tptp_fun__case_option_c__type, type, (
% 0.40/0.58 tptp_fun__case_option_c_: ( |'C_option$'| * |'B_c_option_fun$'| ) > |'B_option_c_option_fun$'|)).
% 0.40/0.58 tff(tptp_fun__uu___type, type, (
% 0.40/0.58 tptp_fun__uu__: ( |'B_c_c_fun_fun$'| * |'C$'| ) > |'B_c_option_fun$'|)).
% 0.40/0.58 tff(tptp_fun__none___type, type, (
% 0.40/0.58 tptp_fun__none__: |'C_option$'|)).
% 0.40/0.58 tff(tptp_fun__fun_app_j__type, type, (
% 0.40/0.58 tptp_fun__fun_app_j_: ( |'C_c_option_fun$'| * |'C$'| ) > |'C_option$'|)).
% 0.40/0.58 tff(tptp_fun__fun_app_am__type, type, (
% 0.40/0.58 tptp_fun__fun_app_am_: ( |'B_b_option_fun_c_c_option_fun_fun$'| * |'B_b_option_fun$'| ) > |'C_c_option_fun$'|)).
% 0.40/0.58 tff(tptp_fun__register_from_getter_setter_a__type, type, (
% 0.40/0.58 tptp_fun__register_from_getter_setter_a_: ( |'C_b_fun$'| * |'B_c_c_fun_fun$'| ) > |'B_b_option_fun_c_c_option_fun_fun$'|)).
% 0.40/0.58 tff(tptp_fun__valid_getter_setter___type, type, (
% 0.40/0.58 tptp_fun__valid_getter_setter__: ( |'C_b_fun$'| * |'B_c_c_fun_fun$'| ) > $o)).
% 0.40/0.58 tff(tptp_fun__register_a__type, type, (
% 0.40/0.58 tptp_fun__register_a_: |'B_b_option_fun_c_c_option_fun_fun$'| > $o)).
% 0.40/0.58 tff(tptp_fun__thesis___type, type, (
% 0.40/0.58 tptp_fun__thesis__: $o)).
% 0.40/0.58 tff(1,plain,
% 0.40/0.58 (^[A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : refl((tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3)))) <=> (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3)))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(2,plain,
% 0.40/0.58 (![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3)))) <=> ![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[1])).
% 0.40/0.58 tff(3,plain,
% 0.40/0.58 (![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3)))) <=> ![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(4,axiom,(![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom94')).
% 0.40/0.58 tff(5,plain,
% 0.40/0.58 (![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.40/0.58 tff(6,plain,(
% 0.40/0.58 ![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))),
% 0.40/0.58 inference(skolemize,[status(sab)],[5])).
% 0.40/0.58 tff(7,plain,
% 0.40/0.58 (![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.40/0.58 tff(8,plain,
% 0.40/0.58 ((~![A__questionmark_v0: |'C_b_fun$'|, A__questionmark_v1: |'B_c_c_fun_fun$'|, A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(A__questionmark_v0, A__questionmark_v1), A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v1, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v0, A__questionmark_v3))))) | (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(9,plain,
% 0.40/0.58 (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.40/0.58 tff(10,plain,
% 0.40/0.58 (^[A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : refl((~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))) <=> (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(11,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))) <=> ![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[10])).
% 0.40/0.58 tff(12,plain,
% 0.40/0.58 (^[A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : rewrite((~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))) <=> (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(13,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))) <=> ![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[12])).
% 0.40/0.58 tff(14,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))) <=> ![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(transitivity,[status(thm)],[13, 11])).
% 0.40/0.58 tff(15,plain,
% 0.40/0.58 (^[A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : trans(monotonicity(rewrite(((~tptp_fun__register_a_(A__questionmark_v0)) | ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))) & tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) <=> ((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))), rewrite((tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : (~((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)))) <=> (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))), ((((~tptp_fun__register_a_(A__questionmark_v0)) | ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))) & tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) & (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : (~((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2))))) <=> (((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))))) & (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))), rewrite((((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))))) & (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) <=> (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))), ((((~tptp_fun__register_a_(A__questionmark_v0)) | ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))) & tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) & (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : (~((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2))))) <=> (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(16,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (((~tptp_fun__register_a_(A__questionmark_v0)) | ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))) & tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) & (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : (~((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2))))) <=> ![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[15])).
% 0.40/0.58 tff(17,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (tptp_fun__register_a_(A__questionmark_v0) <=> ?[A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2))) <=> ![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (tptp_fun__register_a_(A__questionmark_v0) <=> ?[A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(18,axiom,(![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (tptp_fun__register_a_(A__questionmark_v0) <=> ?[A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom136')).
% 0.40/0.58 tff(19,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (tptp_fun__register_a_(A__questionmark_v0) <=> ?[A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.40/0.58 tff(20,plain,(
% 0.40/0.58 ![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (((~tptp_fun__register_a_(A__questionmark_v0)) | ((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))) & tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) & (tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : (~((A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)))))),
% 0.40/0.58 inference(skolemize,[status(sab)],[19])).
% 0.40/0.58 tff(21,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.40/0.58 tff(22,plain,
% 0.40/0.58 (![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.40/0.58 tff(23,plain,
% 0.40/0.58 (((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))))) <=> ((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(24,plain,
% 0.40/0.58 ((~((~((~tptp_fun__register_a_(|'g$'|)) | (~((~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))))) <=> (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(25,plain,
% 0.40/0.58 (((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~((~tptp_fun__register_a_(|'g$'|)) | (~((~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) <=> ((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))))))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[24])).
% 0.40/0.58 tff(26,plain,
% 0.40/0.58 (((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~((~tptp_fun__register_a_(|'g$'|)) | (~((~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) <=> ((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))))))),
% 0.40/0.58 inference(transitivity,[status(thm)],[25, 23])).
% 0.40/0.58 tff(27,plain,
% 0.40/0.58 ((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~((~tptp_fun__register_a_(|'g$'|)) | (~((~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(28,plain,
% 0.40/0.58 ((~![A__questionmark_v0: |'B_b_option_fun_c_c_option_fun_fun$'|] : (~((~((~tptp_fun__register_a_(A__questionmark_v0)) | (~((~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0)))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(A__questionmark_v0), tptp_fun_A__questionmark_v2_37(A__questionmark_v0))))))) | (~(tptp_fun__register_a_(A__questionmark_v0) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(A__questionmark_v0 = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2))))))))) | (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.40/0.59 tff(29,plain,
% 0.40/0.59 (~((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[28, 22])).
% 0.40/0.59 tff(30,plain,
% 0.40/0.59 (((~(tptp_fun__register_a_(|'g$'|) | ![A__questionmark_v1: |'C_b_fun$'|, A__questionmark_v2: |'B_c_c_fun_fun$'|] : ((~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v2)) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(A__questionmark_v1, A__questionmark_v2)))))) | (~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))) | ((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))),
% 0.40/0.59 inference(tautology,[status(thm)],[])).
% 0.40/0.59 tff(31,plain,
% 0.40/0.59 ((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.40/0.59 tff(32,plain,
% 0.40/0.59 (tptp_fun__register_a_(|'g$'|) <=> tptp_fun__register_a_(|'g$'|)),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(33,axiom,(tptp_fun__register_a_(|'g$'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom75')).
% 0.40/0.59 tff(34,plain,
% 0.40/0.59 (tptp_fun__register_a_(|'g$'|)),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.40/0.59 tff(35,plain,
% 0.40/0.59 ((~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))) | (~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))),
% 0.40/0.59 inference(tautology,[status(thm)],[])).
% 0.40/0.59 tff(36,plain,
% 0.40/0.59 ((~((~tptp_fun__register_a_(|'g$'|)) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))) | (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.40/0.59 tff(37,plain,
% 0.40/0.59 (~((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[36, 31])).
% 0.40/0.59 tff(38,plain,
% 0.40/0.59 (((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))) | (|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))),
% 0.40/0.59 inference(tautology,[status(thm)],[])).
% 0.40/0.59 tff(39,plain,
% 0.40/0.59 (|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.40/0.59 tff(40,plain,
% 0.40/0.59 (tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)) = |'g$'|),
% 0.40/0.59 inference(symmetry,[status(thm)],[39])).
% 0.40/0.59 tff(41,plain,
% 0.40/0.59 (tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[40])).
% 0.40/0.59 tff(42,plain,
% 0.40/0.59 (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[41])).
% 0.40/0.59 tff(43,plain,
% 0.40/0.59 (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))),
% 0.40/0.59 inference(symmetry,[status(thm)],[42])).
% 0.40/0.59 tff(44,plain,
% 0.40/0.59 (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))),
% 0.40/0.59 inference(transitivity,[status(thm)],[43, 9])).
% 0.40/0.59 tff(45,plain,
% 0.40/0.59 (((~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(|'g$'| = tptp_fun__register_from_getter_setter_a_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))) | tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))),
% 0.40/0.59 inference(tautology,[status(thm)],[])).
% 0.40/0.59 tff(46,plain,
% 0.40/0.59 (tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[45, 37])).
% 0.40/0.59 tff(47,plain,
% 0.40/0.59 (^[A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : refl((|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))) <=> (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(48,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))) <=> ![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[47])).
% 0.40/0.59 tff(49,plain,
% 0.40/0.59 (^[A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : trans(monotonicity(rewrite(((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))) <=> ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))), ((|'thesis$'| | ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) <=> (|'thesis$'| | ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))))), rewrite((|'thesis$'| | ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) <=> (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))), ((|'thesis$'| | ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) <=> (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(50,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) <=> ![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[49])).
% 0.40/0.59 tff(51,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) <=> ![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(52,plain,
% 0.40/0.59 (^[A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : trans(monotonicity(rewrite((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) <=> (![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))), (((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) => |'thesis$'|) <=> ((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) => |'thesis$'|))), rewrite(((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) => |'thesis$'|) <=> (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))), (((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) => |'thesis$'|) <=> (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(53,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : ((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) => |'thesis$'|) <=> ![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[52])).
% 0.40/0.59 tff(54,axiom,(![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : ((![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)) => |'thesis$'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hypothesis73')).
% 0.40/0.59 tff(55,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.40/0.59 tff(56,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(![A__questionmark_v2: |'B_b_option_fun$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, A__questionmark_v2), A__questionmark_v3) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, A__questionmark_v3)), tptp_fun__fun_app_g_(A__questionmark_v2, tptp_fun__fun_app_m_(A__questionmark_v1, A__questionmark_v3)))) & tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.40/0.59 tff(57,plain,(
% 0.40/0.59 ![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | ((~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0))))),
% 0.40/0.59 inference(skolemize,[status(sab)],[56])).
% 0.40/0.59 tff(58,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[57, 50])).
% 0.40/0.59 tff(59,plain,
% 0.40/0.59 (![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[58, 48])).
% 0.40/0.59 tff(60,plain,
% 0.40/0.59 ((~|'thesis$'|) <=> (~|'thesis$'|)),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(61,axiom,(~|'thesis$'|), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conjecture72')).
% 0.40/0.59 tff(62,plain,
% 0.40/0.59 (~|'thesis$'|),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.40/0.59 tff(63,plain,
% 0.40/0.59 (((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | (|'thesis$'| | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))) <=> ((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | |'thesis$'| | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(64,plain,
% 0.40/0.59 ((|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))) <=> (|'thesis$'| | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(65,plain,
% 0.40/0.59 (((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))) <=> ((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | (|'thesis$'| | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[64])).
% 0.40/0.59 tff(66,plain,
% 0.40/0.59 (((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))) <=> ((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | |'thesis$'| | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))))),
% 0.40/0.59 inference(transitivity,[status(thm)],[65, 63])).
% 0.40/0.59 tff(67,plain,
% 0.40/0.59 ((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))) | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(68,plain,
% 0.40/0.59 ((~![A__questionmark_v0: |'B_c_c_fun_fun$'|, A__questionmark_v1: |'C_b_fun$'|] : (|'thesis$'| | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0)), tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(A__questionmark_v0, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(A__questionmark_v1, A__questionmark_v0), tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun_A__questionmark_v3_0(A__questionmark_v1, A__questionmark_v0)))))) | (~tptp_fun__valid_getter_setter__(A__questionmark_v1, A__questionmark_v0)))) | |'thesis$'| | (~tptp_fun__valid_getter_setter__(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) | (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))))))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.40/0.63 tff(69,plain,
% 0.40/0.63 (~(tptp_fun__fun_app_j_(tptp_fun__fun_app_am_(|'g$'|, tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))) = tptp_fun__fun_app_an_(tptp_fun__case_option_c_(|'none$'|, tptp_fun__uu__(tptp_fun_A__questionmark_v2_37(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)))), tptp_fun__fun_app_g_(tptp_fun_A__questionmark_v2_1(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|)), tptp_fun__fun_app_m_(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v3_0(tptp_fun_A__questionmark_v1_38(|'g$'|), tptp_fun_A__questionmark_v2_37(|'g$'|))))))),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[68, 62, 59, 46])).
% 0.40/0.63 tff(70,plain,
% 0.40/0.63 ($false),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[69, 44])).
% 0.40/0.63 % SZS output end Proof
% 0.49/0.63 % E exiting
%------------------------------------------------------------------------------