%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV367+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:32:18 AM UTC 2025
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV367+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.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 : Fri Jun 20 09:44:24 EDT 2025
% 0.19/0.33 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(contains_pq_type, type, (
% 0.19/0.39 contains_pq: ( $i * $i ) > $o)).
% 0.19/0.39 tff(tptp_fun_W_3_type, type, (
% 0.19/0.39 tptp_fun_W_3: $i)).
% 0.19/0.39 tff(create_pq_type, type, (
% 0.19/0.39 create_pq: $i)).
% 0.19/0.39 tff(i_type, type, (
% 0.19/0.39 i: $i > $i)).
% 0.19/0.39 tff(triple_type, type, (
% 0.19/0.39 triple: ( $i * $i * $i ) > $i)).
% 0.19/0.39 tff(tptp_fun_V_4_type, type, (
% 0.19/0.39 tptp_fun_V_4: $i)).
% 0.19/0.39 tff(create_slb_type, type, (
% 0.19/0.39 create_slb: $i)).
% 0.19/0.39 tff(tptp_fun_U_5_type, type, (
% 0.19/0.39 tptp_fun_U_5: $i)).
% 0.19/0.39 tff(remove_pq_type, type, (
% 0.19/0.39 remove_pq: ( $i * $i ) > $i)).
% 0.19/0.39 tff(remove_cpq_type, type, (
% 0.19/0.39 remove_cpq: ( $i * $i ) > $i)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (^[U: $i, V: $i] : refl((i(triple(U, create_slb, V)) = create_pq) <=> (i(triple(U, create_slb, V)) = create_pq))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq) <=> ![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.19/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq) <=> ![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,axiom,(![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax','ax54')).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.39 tff(6,plain,(
% 0.19/0.39 ![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.19/0.39 inference(skolemize,[status(sab)],[5])).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 ((~![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)) | (i(triple(U!5, create_slb, V!4)) = create_pq)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (i(triple(U!5, create_slb, V!4)) = create_pq),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (create_pq = i(triple(U!5, create_slb, V!4))),
% 0.19/0.39 inference(symmetry,[status(thm)],[9])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (contains_pq(create_pq, W!3) <=> contains_pq(i(triple(U!5, create_slb, V!4)), W!3)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[10])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 (contains_pq(i(triple(U!5, create_slb, V!4)), W!3) <=> contains_pq(create_pq, W!3)),
% 0.19/0.39 inference(symmetry,[status(thm)],[11])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 ((~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))) <=> (~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(14,plain,
% 0.19/0.39 ((~![U: $i, V: $i, W: $i] : (contains_pq(i(triple(U, create_slb, V)), W) => (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))) <=> (~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(15,axiom,(~![U: $i, V: $i, W: $i] : (contains_pq(i(triple(U, create_slb, V)), W) => (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l3_co')).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 (~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.39 (~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.19/0.39 tff(18,plain,
% 0.19/0.39 (~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.19/0.39 tff(19,plain,
% 0.19/0.39 (~![U: $i, V: $i, W: $i] : ((~contains_pq(i(triple(U, create_slb, V)), W)) | (i(remove_cpq(triple(U, create_slb, V), W)) = remove_pq(i(triple(U, create_slb, V)), W)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[18, 13])).
% 0.19/0.39 tff(20,plain,(
% 0.19/0.39 ~((~contains_pq(i(triple(U!5, create_slb, V!4)), W!3)) | (i(remove_cpq(triple(U!5, create_slb, V!4), W!3)) = remove_pq(i(triple(U!5, create_slb, V!4)), W!3)))),
% 0.19/0.39 inference(skolemize,[status(sab)],[19])).
% 0.19/0.39 tff(21,plain,
% 0.19/0.39 (contains_pq(i(triple(U!5, create_slb, V!4)), W!3)),
% 0.19/0.39 inference(or_elim,[status(thm)],[20])).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 (contains_pq(create_pq, W!3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[21, 12])).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 (^[U: $i] : refl((~contains_pq(create_pq, U)) <=> (~contains_pq(create_pq, U)))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(24,plain,
% 0.19/0.39 (![U: $i] : (~contains_pq(create_pq, U)) <=> ![U: $i] : (~contains_pq(create_pq, U))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[23])).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 (![U: $i] : (~contains_pq(create_pq, U)) <=> ![U: $i] : (~contains_pq(create_pq, U))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(26,axiom,(![U: $i] : (~contains_pq(create_pq, U))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax','ax8')).
% 0.19/0.39 tff(27,plain,
% 0.19/0.39 (![U: $i] : (~contains_pq(create_pq, U))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.39 tff(28,plain,(
% 0.19/0.39 ![U: $i] : (~contains_pq(create_pq, U))),
% 0.19/0.39 inference(skolemize,[status(sab)],[27])).
% 0.19/0.39 tff(29,plain,
% 0.19/0.39 (![U: $i] : (~contains_pq(create_pq, U))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.19/0.39 tff(30,plain,
% 0.19/0.39 ((~![U: $i] : (~contains_pq(create_pq, U))) | (~contains_pq(create_pq, W!3))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(31,plain,
% 0.19/0.39 (~contains_pq(create_pq, W!3)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.19/0.39 tff(32,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[31, 22])).
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39 % E exiting
%------------------------------------------------------------------------------