TSTP Solution File: SYO903_10 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n032.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 : Mon May 22 15:46:14 EDT 2023
% Result : Theorem 0.13s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.08 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon May 22 13:14:53 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.08/0.27 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.08/0.27 Usage: tptp [options] [-file:]file
% 0.08/0.27 -h, -? prints this message.
% 0.08/0.27 -smt2 print SMT-LIB2 benchmark.
% 0.08/0.27 -m, -model generate model.
% 0.08/0.27 -p, -proof generate proof.
% 0.08/0.27 -c, -core generate unsat core of named formulas.
% 0.08/0.27 -st, -statistics display statistics.
% 0.08/0.27 -t:timeout set timeout (in second).
% 0.08/0.27 -smt2status display status in smt2 format instead of SZS.
% 0.08/0.27 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.08/0.27 -<param>:<value> configuration parameter and value.
% 0.08/0.27 -o:<output-file> file to place output in.
% 0.13/0.32 % SZS status Theorem
% 0.13/0.32 % SZS output start Proof
% 0.13/0.32 tff(tptp_fun___ki_accessible__type, type, (
% 0.13/0.32 tptp_fun___ki_accessible_: ( '$ki_world' * '$ki_world' ) > $o)).
% 0.13/0.32 tff(tptp_fun___ki_local_world__type, type, (
% 0.13/0.32 tptp_fun___ki_local_world_: '$ki_world')).
% 0.13/0.32 tff(v1_type, type, (
% 0.13/0.32 v1: '$ki_world' > $o)).
% 0.13/0.32 tff(v4_type, type, (
% 0.13/0.32 v4: '$ki_world' > $o)).
% 0.13/0.32 tff(v3_type, type, (
% 0.13/0.32 v3: '$ki_world' > $o)).
% 0.13/0.32 tff(v2_type, type, (
% 0.13/0.32 v2: '$ki_world' > $o)).
% 0.13/0.32 tff(tptp_fun_W_0_type, type, (
% 0.13/0.32 tptp_fun_W_0: '$ki_world')).
% 0.13/0.32 tff(1,plain,
% 0.13/0.32 (^[W: '$ki_world'] : refl(tptp_fun___ki_accessible_(W, W) <=> tptp_fun___ki_accessible_(W, W))),
% 0.13/0.32 inference(bind,[status(th)],[])).
% 0.13/0.32 tff(2,plain,
% 0.13/0.32 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W) <=> ![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.13/0.32 inference(quant_intro,[status(thm)],[1])).
% 0.13/0.32 tff(3,plain,
% 0.13/0.32 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W) <=> ![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.13/0.32 inference(rewrite,[status(thm)],[])).
% 0.13/0.32 tff(4,axiom,(![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_reflexive')).
% 0.13/0.32 tff(5,plain,
% 0.13/0.32 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.13/0.32 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.32 tff(6,plain,(
% 0.13/0.32 ![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.13/0.32 inference(skolemize,[status(sab)],[5])).
% 0.13/0.32 tff(7,plain,
% 0.13/0.32 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.13/0.32 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.32 tff(8,plain,
% 0.13/0.32 ((~![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)) | tptp_fun___ki_accessible_(|'$ki_local_world'|, |'$ki_local_world'|)),
% 0.13/0.32 inference(quant_inst,[status(thm)],[])).
% 0.13/0.32 tff(9,plain,
% 0.13/0.32 (tptp_fun___ki_accessible_(|'$ki_local_world'|, |'$ki_local_world'|)),
% 0.13/0.32 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.13/0.32 tff(10,assumption,(![W0: '$ki_world'] : (v4(W0) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W0)))), introduced(assumption)).
% 0.13/0.32 tff(11,assumption,(~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))), introduced(assumption)).
% 0.13/0.32 tff(12,assumption,(~![W: '$ki_world'] : ((~v4(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))), introduced(assumption)).
% 0.13/0.32 tff(13,assumption,(~![W: '$ki_world'] : (v4(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))), introduced(assumption)).
% 0.13/0.32 tff(14,assumption,(~v2(|'$ki_local_world'|)), introduced(assumption)).
% 0.13/0.32 tff(15,assumption,(~v3(|'$ki_local_world'|)), introduced(assumption)).
% 0.13/0.32 tff(16,plain,
% 0.13/0.32 ((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))) <=> (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.13/0.32 inference(rewrite,[status(thm)],[])).
% 0.13/0.32 tff(17,plain,
% 0.13/0.32 ((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))) <=> (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.13/0.32 inference(rewrite,[status(thm)],[])).
% 0.13/0.32 tff(18,plain,
% 0.13/0.32 (((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|)) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))) <=> (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.13/0.32 inference(rewrite,[status(thm)],[])).
% 0.13/0.32 tff(19,plain,
% 0.13/0.32 (^[W: '$ki_world'] : trans(monotonicity(quant_intro(proof_bind(^[W0: '$ki_world'] : rewrite((tptp_fun___ki_accessible_(W, W0) => (~v4(W0))) <=> ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))), (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0))) <=> ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))), ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0)))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))))), rewrite((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))), ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0)))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))))),
% 0.13/0.32 inference(bind,[status(th)],[])).
% 0.13/0.32 tff(20,plain,
% 0.13/0.32 (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0)))) <=> ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))),
% 0.13/0.32 inference(quant_intro,[status(thm)],[19])).
% 0.13/0.32 tff(21,plain,
% 0.13/0.32 (((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|)) | v4(|'$ki_local_world'|)) <=> (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|))),
% 0.13/0.32 inference(rewrite,[status(thm)],[])).
% 0.13/0.32 tff(22,plain,
% 0.13/0.32 ((((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|)) | v4(|'$ki_local_world'|)) | ![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0))))) <=> ((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|)) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.13/0.32 inference(monotonicity,[status(thm)],[21, 20])).
% 0.13/0.32 tff(23,plain,
% 0.13/0.32 ((((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|)) | v4(|'$ki_local_world'|)) | ![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0))))) <=> (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.13/0.32 inference(transitivity,[status(thm)],[22, 18])).
% 0.13/0.32 tff(24,axiom,(((v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|)) | v4(|'$ki_local_world'|)) | ![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => (~v4(W0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','persat14')).
% 0.13/0.32 tff(25,plain,
% 0.13/0.32 (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))),
% 0.13/0.32 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.13/0.32 tff(26,plain,
% 0.13/0.32 (v2(|'$ki_local_world'|) | v3(|'$ki_local_world'|) | v4(|'$ki_local_world'|) | ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~v4(W0)) | (~tptp_fun___ki_accessible_(W, W0))))),
% 0.13/0.32 inference(modus_ponens,[status(thm)],[25, 17])).
% 0.13/0.32 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------