TSTP Solution File: SYN383+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN383+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 23:55:05 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN383+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 03:01:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(big_q_type, type, (
% 0.19/0.38 big_q: $i > $o)).
% 0.19/0.38 tff(tptp_fun_Y_0_type, type, (
% 0.19/0.38 tptp_fun_Y_0: $i > $i)).
% 0.19/0.38 tff(elem_1_type, type, (
% 0.19/0.38 elem_1: $i)).
% 0.19/0.38 tff(big_p_type, type, (
% 0.19/0.38 big_p: $i > $o)).
% 0.19/0.38 tff(1,plain,
% 0.19/0.38 (^[X: $i] : refl((~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X))))) <=> (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 (![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X))))) <=> ![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X)))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 (^[X: $i] : rewrite((~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~(big_p(X) & big_q(tptp_fun_Y_0(X)))))) <=> (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 (![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~(big_p(X) & big_q(tptp_fun_Y_0(X)))))) <=> ![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X)))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.38 tff(5,plain,
% 0.19/0.38 ((~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))) <=> (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y)))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 ((~?[X: $i] : ![Y: $i] : ((big_p(X) & big_q(Y)) => (big_q(X) | big_p(Y)))) <=> (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y)))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(7,axiom,(~?[X: $i] : ![Y: $i] : ((big_p(X) & big_q(Y)) => (big_q(X) | big_p(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','x2135')).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.19/0.38 tff(10,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[10, 5])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[11, 5])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 (~?[X: $i] : ![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[13, 5])).
% 0.19/0.38 tff(15,plain,
% 0.19/0.38 (^[X: $i] : sk($oeq((~![Y: $i] : (big_q(X) | big_p(Y) | (~(big_p(X) & big_q(Y))))), (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~(big_p(X) & big_q(tptp_fun_Y_0(X))))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(16,plain,(
% 0.19/0.38 ![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~(big_p(X) & big_q(tptp_fun_Y_0(X))))))),
% 0.19/0.38 inference(nnf-neg,[status(sab)],[14, 15])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 (![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X)))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[16, 4])).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 (![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X)))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[17, 2])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 ((~![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X)))))) | (~(big_q(elem!1) | big_p(tptp_fun_Y_0(elem!1)) | (~big_p(elem!1)) | (~big_q(tptp_fun_Y_0(elem!1)))))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 (~(big_q(elem!1) | big_p(tptp_fun_Y_0(elem!1)) | (~big_p(elem!1)) | (~big_q(tptp_fun_Y_0(elem!1))))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.19/0.38 tff(21,plain,
% 0.19/0.38 ((big_q(elem!1) | big_p(tptp_fun_Y_0(elem!1)) | (~big_p(elem!1)) | (~big_q(tptp_fun_Y_0(elem!1)))) | big_q(tptp_fun_Y_0(elem!1))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 (big_q(tptp_fun_Y_0(elem!1))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 ((big_q(tptp_fun_Y_0(elem!1)) | big_p(tptp_fun_Y_0(tptp_fun_Y_0(elem!1))) | (~big_p(tptp_fun_Y_0(elem!1))) | (~big_q(tptp_fun_Y_0(tptp_fun_Y_0(elem!1))))) | (~big_q(tptp_fun_Y_0(elem!1)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(24,plain,
% 0.19/0.39 (big_q(tptp_fun_Y_0(elem!1)) | big_p(tptp_fun_Y_0(tptp_fun_Y_0(elem!1))) | (~big_p(tptp_fun_Y_0(elem!1))) | (~big_q(tptp_fun_Y_0(tptp_fun_Y_0(elem!1))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 ((~![X: $i] : (~(big_q(X) | big_p(tptp_fun_Y_0(X)) | (~big_p(X)) | (~big_q(tptp_fun_Y_0(X)))))) | (~(big_q(tptp_fun_Y_0(elem!1)) | big_p(tptp_fun_Y_0(tptp_fun_Y_0(elem!1))) | (~big_p(tptp_fun_Y_0(elem!1))) | (~big_q(tptp_fun_Y_0(tptp_fun_Y_0(elem!1))))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(26,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[25, 18, 24])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------