TSTP Solution File: SYN371+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN371+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 23:55:01 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN371+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n010.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 : Mon Sep 5 02:49:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(big_r_type, type, (
% 0.12/0.38 big_r: ( $i * $i ) > $o)).
% 0.12/0.38 tff(tptp_fun_V_0_type, type, (
% 0.12/0.38 tptp_fun_V_0: $i > $i)).
% 0.12/0.38 tff(elem_1_type, type, (
% 0.12/0.38 elem_1: $i)).
% 0.12/0.38 tff(1,plain,
% 0.12/0.38 (^[U: $i] : refl((~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U)))) <=> (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 (![U: $i] : (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U)))) <=> ![U: $i] : (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 ((~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))) <=> (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 ((~((?[X: $i] : big_r(X, X) => ![Y: $i] : big_r(Y, Y)) => ?[U: $i] : ![V: $i] : (big_r(U, U) => big_r(V, V)))) <=> (~((~((~?[X: $i] : big_r(X, X)) | ![Y: $i] : big_r(Y, Y))) | ?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(5,axiom,(~((?[X: $i] : big_r(X, X) => ![Y: $i] : big_r(Y, Y)) => ?[U: $i] : ![V: $i] : (big_r(U, U) => big_r(V, V)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','x2122')).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (~((~((~?[X: $i] : big_r(X, X)) | ![Y: $i] : big_r(Y, Y))) | ?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(or_elim,[status(thm)],[6])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (~?[U: $i] : ![V: $i] : ((~big_r(U, U)) | big_r(V, V))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[12, 3])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (^[U: $i] : sk($oeq((~![V: $i] : ((~big_r(U, U)) | big_r(V, V))), (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(15,plain,(
% 0.12/0.38 ![U: $i] : (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U))))),
% 0.12/0.38 inference(nnf-neg,[status(sab)],[13, 14])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (![U: $i] : (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[15, 2])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 ((~![U: $i] : (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U))))) | (~((~big_r(elem!1, elem!1)) | big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (~((~big_r(elem!1, elem!1)) | big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (((~big_r(elem!1, elem!1)) | big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))) | (~big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1)))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (~big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (((~big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))) | big_r(tptp_fun_V_0(tptp_fun_V_0(elem!1)), tptp_fun_V_0(tptp_fun_V_0(elem!1)))) | big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 ((~big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))) | big_r(tptp_fun_V_0(tptp_fun_V_0(elem!1)), tptp_fun_V_0(tptp_fun_V_0(elem!1)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 ((~![U: $i] : (~((~big_r(U, U)) | big_r(tptp_fun_V_0(U), tptp_fun_V_0(U))))) | (~((~big_r(tptp_fun_V_0(elem!1), tptp_fun_V_0(elem!1))) | big_r(tptp_fun_V_0(tptp_fun_V_0(elem!1)), tptp_fun_V_0(tptp_fun_V_0(elem!1)))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[23, 16, 22])).
% 0.12/0.38 % SZS output end Proof
%------------------------------------------------------------------------------