TSTP Solution File: SWV395+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV395+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 : Thu Sep 29 15:11:37 EDT 2022
% Result : Theorem 0.15s 0.35s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Sep 4 03:00:45 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.30 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.30 Usage: tptp [options] [-file:]file
% 0.09/0.30 -h, -? prints this message.
% 0.09/0.30 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.30 -m, -model generate model.
% 0.09/0.30 -p, -proof generate proof.
% 0.09/0.30 -c, -core generate unsat core of named formulas.
% 0.09/0.30 -st, -statistics display statistics.
% 0.09/0.30 -t:timeout set timeout (in second).
% 0.09/0.30 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.30 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.30 -<param>:<value> configuration parameter and value.
% 0.09/0.30 -o:<output-file> file to place output in.
% 0.15/0.35 % SZS status Theorem
% 0.15/0.35 % SZS output start Proof
% 0.15/0.35 tff(pair_in_list_type, type, (
% 0.15/0.35 pair_in_list: ( $i * $i * $i ) > $o)).
% 0.15/0.35 tff(tptp_fun_X_0_type, type, (
% 0.15/0.35 tptp_fun_X_0: $i)).
% 0.15/0.35 tff(tptp_fun_W_1_type, type, (
% 0.15/0.35 tptp_fun_W_1: $i)).
% 0.15/0.35 tff(create_slb_type, type, (
% 0.15/0.35 create_slb: $i)).
% 0.15/0.35 tff(ok_type, type, (
% 0.15/0.35 ok: $i > $o)).
% 0.15/0.35 tff(remove_cpq_type, type, (
% 0.15/0.35 remove_cpq: ( $i * $i ) > $i)).
% 0.15/0.35 tff(triple_type, type, (
% 0.15/0.35 triple: ( $i * $i * $i ) > $i)).
% 0.15/0.35 tff(tptp_fun_V_2_type, type, (
% 0.15/0.35 tptp_fun_V_2: $i)).
% 0.15/0.35 tff(tptp_fun_U_3_type, type, (
% 0.15/0.35 tptp_fun_U_3: $i)).
% 0.15/0.35 tff(strictly_less_than_type, type, (
% 0.15/0.35 strictly_less_than: ( $i * $i ) > $o)).
% 0.15/0.35 tff(remove_slb_type, type, (
% 0.15/0.35 remove_slb: ( $i * $i ) > $i)).
% 0.15/0.35 tff(1,plain,
% 0.15/0.35 ((~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))) <=> (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X)))),
% 0.15/0.35 inference(rewrite,[status(thm)],[])).
% 0.15/0.35 tff(2,plain,
% 0.15/0.35 ((~![U: $i, V: $i, W: $i, X: $i] : (((pair_in_list(create_slb, W, X) & strictly_less_than(W, X)) & ok(remove_cpq(triple(U, create_slb, V), W))) => pair_in_list(remove_slb(create_slb, W), W, X))) <=> (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X)))),
% 0.15/0.35 inference(rewrite,[status(thm)],[])).
% 0.15/0.35 tff(3,axiom,(~![U: $i, V: $i, W: $i, X: $i] : (((pair_in_list(create_slb, W, X) & strictly_less_than(W, X)) & ok(remove_cpq(triple(U, create_slb, V), W))) => pair_in_list(remove_slb(create_slb, W), W, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','l31_co')).
% 0.15/0.35 tff(4,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.15/0.35 tff(5,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.15/0.35 tff(6,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.15/0.35 tff(7,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.15/0.35 tff(8,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.15/0.35 tff(9,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.15/0.35 tff(10,plain,
% 0.15/0.35 (~![U: $i, V: $i, W: $i, X: $i] : ((~(pair_in_list(create_slb, W, X) & strictly_less_than(W, X) & ok(remove_cpq(triple(U, create_slb, V), W)))) | pair_in_list(remove_slb(create_slb, W), W, X))),
% 0.15/0.35 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.15/0.35 tff(11,plain,(
% 0.15/0.35 ~((~(pair_in_list(create_slb, W!1, X!0) & strictly_less_than(W!1, X!0) & ok(remove_cpq(triple(U!3, create_slb, V!2), W!1)))) | pair_in_list(remove_slb(create_slb, W!1), W!1, X!0))),
% 0.15/0.35 inference(skolemize,[status(sab)],[10])).
% 0.15/0.35 tff(12,plain,
% 0.15/0.35 (pair_in_list(create_slb, W!1, X!0) & strictly_less_than(W!1, X!0) & ok(remove_cpq(triple(U!3, create_slb, V!2), W!1))),
% 0.15/0.36 inference(or_elim,[status(thm)],[11])).
% 0.15/0.36 tff(13,plain,
% 0.15/0.36 (pair_in_list(create_slb, W!1, X!0)),
% 0.15/0.36 inference(and_elim,[status(thm)],[12])).
% 0.15/0.36 tff(14,plain,
% 0.15/0.36 (^[U: $i, V: $i] : refl((~pair_in_list(create_slb, U, V)) <=> (~pair_in_list(create_slb, U, V)))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(15,plain,
% 0.15/0.36 (![U: $i, V: $i] : (~pair_in_list(create_slb, U, V)) <=> ![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[14])).
% 0.15/0.36 tff(16,plain,
% 0.15/0.36 (![U: $i, V: $i] : (~pair_in_list(create_slb, U, V)) <=> ![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(17,axiom,(![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax','ax22')).
% 0.15/0.36 tff(18,plain,
% 0.15/0.36 (![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.15/0.36 tff(19,plain,(
% 0.15/0.36 ![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))),
% 0.15/0.36 inference(skolemize,[status(sab)],[18])).
% 0.15/0.36 tff(20,plain,
% 0.15/0.36 (![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.15/0.36 tff(21,plain,
% 0.15/0.36 ((~![U: $i, V: $i] : (~pair_in_list(create_slb, U, V))) | (~pair_in_list(create_slb, W!1, X!0))),
% 0.15/0.36 inference(quant_inst,[status(thm)],[])).
% 0.15/0.36 tff(22,plain,
% 0.15/0.36 ($false),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[21, 20, 13])).
% 0.15/0.36 % SZS output end Proof
%------------------------------------------------------------------------------