TSTP Solution File: LCL954_19 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL954_19 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 15:39:15 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL954_19 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 22 12:09:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53 % SZS output start Proof
% 0.21/0.53 tff(true_type, type, (
% 0.21/0.53 true: '$ki_world' > $o)).
% 0.21/0.53 tff(tptp_fun___ki_accessible__type, type, (
% 0.21/0.53 tptp_fun___ki_accessible_: ( '$ki_world' * '$ki_world' ) > $o)).
% 0.21/0.53 tff(tptp_fun___ki_local_world__type, type, (
% 0.21/0.53 tptp_fun___ki_local_world_: '$ki_world')).
% 0.21/0.53 tff(1,plain,
% 0.21/0.53 ((~$true) <=> $false),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(2,plain,
% 0.21/0.53 (![W: '$ki_world'] : $true <=> $true),
% 0.21/0.53 inference(elim_unused_vars,[status(thm)],[])).
% 0.21/0.53 tff(3,plain,
% 0.21/0.53 (^[W: '$ki_world'] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[W0: '$ki_world'] : rewrite((tptp_fun___ki_accessible_(W, W0) => true(W0)) <=> (true(W0) | (~tptp_fun___ki_accessible_(W, W0))))), (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) <=> ![W0: '$ki_world'] : (true(W0) | (~tptp_fun___ki_accessible_(W, W0))))), quant_intro(proof_bind(^[W0: '$ki_world'] : rewrite((tptp_fun___ki_accessible_(W, W0) => true(W0)) <=> (true(W0) | (~tptp_fun___ki_accessible_(W, W0))))), (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) <=> ![W0: '$ki_world'] : (true(W0) | (~tptp_fun___ki_accessible_(W, W0))))), ((![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0))) <=> (![W0: '$ki_world'] : (true(W0) | (~tptp_fun___ki_accessible_(W, W0))) => ![W0: '$ki_world'] : (true(W0) | (~tptp_fun___ki_accessible_(W, W0)))))), rewrite((![W0: '$ki_world'] : (true(W0) | (~tptp_fun___ki_accessible_(W, W0))) => ![W0: '$ki_world'] : (true(W0) | (~tptp_fun___ki_accessible_(W, W0)))) <=> $true), ((![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0))) <=> $true)), ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => $true))), rewrite((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => $true) <=> $true), ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)))) <=> $true))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(4,plain,
% 0.21/0.53 (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)))) <=> ![W: '$ki_world'] : $true),
% 0.21/0.53 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.53 tff(5,plain,
% 0.21/0.53 (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)))) <=> $true),
% 0.21/0.53 inference(transitivity,[status(thm)],[4, 2])).
% 0.21/0.53 tff(6,plain,
% 0.21/0.53 ((~![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0))))) <=> (~$true)),
% 0.21/0.53 inference(monotonicity,[status(thm)],[5])).
% 0.21/0.53 tff(7,plain,
% 0.21/0.53 ((~![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0))))) <=> $false),
% 0.21/0.53 inference(transitivity,[status(thm)],[6, 1])).
% 0.21/0.53 tff(8,axiom,(~![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0)) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => true(W0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','verify')).
% 0.21/0.53 tff(9,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.21/0.53 % SZS output end Proof
%------------------------------------------------------------------------------