%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV414+1 : TPTP v9.0.0. Released v3.3.0.
% 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 05:32:24 AM UTC 2025
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV414+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 09:49:35 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 tff(create_pq_type, type, (
% 0.20/0.40 create_pq: $i)).
% 0.20/0.40 tff(i_type, type, (
% 0.20/0.40 i: $i > $i)).
% 0.20/0.40 tff(triple_type, type, (
% 0.20/0.40 triple: ( $i * $i * $i ) > $i)).
% 0.20/0.40 tff(tptp_fun_U_3_type, type, (
% 0.20/0.40 tptp_fun_U_3: $i)).
% 0.20/0.40 tff(create_slb_type, type, (
% 0.20/0.40 create_slb: $i)).
% 0.20/0.40 tff(create_pqp_type, type, (
% 0.20/0.40 create_pqp: $i)).
% 0.20/0.40 tff(1,plain,
% 0.20/0.40 ((~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq)) <=> (~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(2,axiom,(~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.20/0.40 tff(3,plain,
% 0.20/0.40 (~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.40 tff(4,plain,
% 0.20/0.40 (~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.20/0.40 tff(5,plain,
% 0.20/0.40 (~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.20/0.40 tff(6,plain,
% 0.20/0.40 (~![U: $i] : (i(triple(create_pqp, create_slb, U)) = create_pq)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.20/0.40 tff(7,plain,(
% 0.20/0.40 ~(i(triple(create_pqp, create_slb, U!3)) = create_pq)),
% 0.20/0.40 inference(skolemize,[status(sab)],[6])).
% 0.20/0.40 tff(8,plain,
% 0.20/0.40 (^[U: $i, V: $i] : refl((i(triple(U, create_slb, V)) = create_pq) <=> (i(triple(U, create_slb, V)) = create_pq))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(9,plain,
% 0.20/0.40 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq) <=> ![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.20/0.40 inference(quant_intro,[status(thm)],[8])).
% 0.20/0.40 tff(10,plain,
% 0.20/0.40 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq) <=> ![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(11,axiom,(![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax','ax54')).
% 0.20/0.40 tff(12,plain,
% 0.20/0.40 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.20/0.40 tff(13,plain,(
% 0.20/0.40 ![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.20/0.40 inference(skolemize,[status(sab)],[12])).
% 0.20/0.40 tff(14,plain,
% 0.20/0.40 (![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.20/0.40 tff(15,plain,
% 0.20/0.40 ((~![U: $i, V: $i] : (i(triple(U, create_slb, V)) = create_pq)) | (i(triple(create_pqp, create_slb, U!3)) = create_pq)),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[15, 14, 7])).
% 0.20/0.40 % SZS output end Proof
% 0.20/0.40 % E exiting
%------------------------------------------------------------------------------