TSTP Solution File: KRS261+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS261+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% 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  : 600s
% DateTime : Sun Jul 17 03:14:06 EDT 2022

% Result   : Theorem 14.70s 14.80s
% Output   : Proof 14.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : KRS261+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.09/0.11  % Command  : leancop_casc.sh %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Tue Jun  7 18:19:21 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 14.70/14.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.70/14.80  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.70/14.81  
% 14.70/14.81  %-----------------------------------------------------
% 14.70/14.81  fof(mighta_eth_thm, conjecture, mighta(eth, thm), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mighta_eth_thm)).
% 14.70/14.81  fof(mighta, axiom, ! [_62310, _62313] : (? [_62321, _62324] : (status(_62321, _62324, _62310) & status(_62321, _62324, _62313)) <=> mighta(_62310, _62313)), file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax', mighta)).
% 14.70/14.81  fof(nevera, axiom, ! [_62545, _62548] : (! [_62556, _62559] : (status(_62556, _62559, _62545) => ~ status(_62556, _62559, _62548)) <=> nevera(_62545, _62548)), file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax', nevera)).
% 14.70/14.81  fof(completeness, axiom, ! [_62809, _62812] : (model(_62809, _62812) <~> model(_62809, not _62812)), file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax', completeness)).
% 14.70/14.81  fof(satisfiable, axiom, ? [_62979] : (? [_62987] : model(_62987, _62979) & ? [_63005] : ~ model(_63005, _62979)), file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax', satisfiable)).
% 14.70/14.81  fof(thm, axiom, ! [_63218, _63221] : (! [_63229] : (model(_63229, _63218) => model(_63229, _63221)) <=> status(_63218, _63221, thm)), file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax', thm)).
% 14.70/14.81  fof(eth, axiom, ! [_63460, _63463] : (? [_63471] : model(_63471, _63460) & ? [_63489] : ~ model(_63489, _63460) & ! [_63509] : (model(_63509, _63460) <=> model(_63509, _63463)) <=> status(_63460, _63463, eth)), file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax', eth)).
% 14.70/14.81  
% 14.70/14.81  cnf(1, plain, [mighta(eth, thm)], clausify(mighta_eth_thm)).
% 14.70/14.81  cnf(2, plain, [-(mighta(_25721, _25784)), status(_25857, _25913, _25721), status(_25857, _25913, _25784)], clausify(mighta)).
% 14.70/14.81  cnf(3, plain, [-(status(48 ^ [_27683, _27618], 49 ^ [_27683, _27618], _27618)), -(nevera(_27618, _27683))], clausify(nevera)).
% 14.70/14.81  cnf(4, plain, [-(status(48 ^ [_27683, _27618], 49 ^ [_27683, _27618], _27683)), -(nevera(_27618, _27683))], clausify(nevera)).
% 14.70/14.81  cnf(5, plain, [nevera(_27618, _27683), status(_27757, _27814, _27618), status(_27757, _27814, _27683)], clausify(nevera)).
% 14.70/14.81  cnf(6, plain, [model(_28912, _28961), model(_28912, not _28961)], clausify(completeness)).
% 14.70/14.81  cnf(7, plain, [-(model(_28912, _28961)), -(model(_28912, not _28961))], clausify(completeness)).
% 14.70/14.81  cnf(8, plain, [-(model(54 ^ [], 53 ^ []))], clausify(satisfiable)).
% 14.70/14.81  cnf(9, plain, [model(55 ^ [], 53 ^ [])], clausify(satisfiable)).
% 14.70/14.81  cnf(10, plain, [-(model(10 ^ [_15577, _15520], _15520)), -(status(_15520, _15577, thm))], clausify(thm)).
% 14.70/14.81  cnf(11, plain, [model(10 ^ [_15577, _15520], _15577), -(status(_15520, _15577, thm))], clausify(thm)).
% 14.70/14.81  cnf(12, plain, [-(status(_18138, _18219, eth)), model(_18320, _18138), -(model(_18429, _18138)), model(18 ^ [_18219, _18138], _18138), model(18 ^ [_18219, _18138], _18219)], clausify(eth)).
% 14.70/14.81  cnf(13, plain, [-(status(_18138, _18219, eth)), model(_18320, _18138), -(model(_18429, _18138)), -(model(18 ^ [_18219, _18138], _18138)), -(model(18 ^ [_18219, _18138], _18219))], clausify(eth)).
% 14.70/14.81  
% 14.70/14.81  cnf('1',plain,[nevera(eth, thm), status(53 ^ [], not not 53 ^ [], eth), status(53 ^ [], not not 53 ^ [], thm)],start(5,bind([[_27618, _27757, _27814, _27683], [eth, 53 ^ [], not not 53 ^ [], thm]]))).
% 14.70/14.81  cnf('1.1',plain,[-(nevera(eth, thm)), -(status(48 ^ [thm, eth], 49 ^ [thm, eth], eth))],extension(3,bind([[_27683, _27618], [thm, eth]]))).
% 14.70/14.81  cnf('1.1.1',plain,[status(48 ^ [thm, eth], 49 ^ [thm, eth], eth), -(mighta(eth, thm)), status(48 ^ [thm, eth], 49 ^ [thm, eth], thm)],extension(2,bind([[_25721, _25857, _25913, _25784], [eth, 48 ^ [thm, eth], 49 ^ [thm, eth], thm]]))).
% 14.70/14.81  cnf('1.1.1.1',plain,[mighta(eth, thm)],extension(1)).
% 14.70/14.81  cnf('1.1.1.2',plain,[-(status(48 ^ [thm, eth], 49 ^ [thm, eth], thm)), -(nevera(eth, thm))],extension(4,bind([[_27618, _27683], [eth, thm]]))).
% 14.70/14.81  cnf('1.1.1.2.1',plain,[nevera(eth, thm)],reduction('1')).
% 14.70/14.81  cnf('1.2',plain,[-(status(53 ^ [], not not 53 ^ [], eth)), model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []), -(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])), model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []), model(18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ [])],extension(12,bind([[_18320, _18429, _18138, _18219], [18 ^ [not not 53 ^ [], 53 ^ []], 18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [], not not 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.1',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])), -(model(18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []))],extension(7,bind([[_28912, _28961], [18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.1.1',plain,[model(18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []), model(18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ [])],extension(6,bind([[_28912, _28961], [18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.1.1.1',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ [])), -(status(53 ^ [], not not 53 ^ [], eth)), model(54 ^ [], 53 ^ []), -(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])), -(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []))],extension(13,bind([[_18320, _18429, _18219, _18138], [54 ^ [], 18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ [], 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.1.1.1.1',plain,[status(53 ^ [], not not 53 ^ [], eth)],reduction('1')).
% 14.70/14.81  cnf('1.2.1.1.1.2',plain,[-(model(54 ^ [], 53 ^ []))],extension(8)).
% 14.70/14.81  cnf('1.2.1.1.1.3',plain,[model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])],reduction('1.2')).
% 14.70/14.81  cnf('1.2.1.1.1.4',plain,[model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])],lemmata('1.2.1.1.1')).
% 14.70/14.81  cnf('1.2.2',plain,[model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []), model(18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ [])],extension(6,bind([[_28912, _28961], [18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.2.1',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ [])), -(model(18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ []))],extension(7,bind([[_28912, _28961], [18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.2.1.1',plain,[model(18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ []), -(status(53 ^ [], not not 53 ^ [], eth)), model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []), -(model(55 ^ [], 53 ^ [])), model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])],extension(12,bind([[_18320, _18429, _18219, _18138], [18 ^ [not not 53 ^ [], 53 ^ []], 55 ^ [], not not 53 ^ [], 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.2.1.1.1',plain,[status(53 ^ [], not not 53 ^ [], eth)],reduction('1')).
% 14.70/14.81  cnf('1.2.2.1.1.2',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []))],lemmata('1.2')).
% 14.70/14.81  cnf('1.2.2.1.1.3',plain,[model(55 ^ [], 53 ^ [])],extension(9)).
% 14.70/14.81  cnf('1.2.2.1.1.4',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []))],lemmata('1.2.2.1.1')).
% 14.70/14.81  cnf('1.2.3',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []))],lemmata('1.2')).
% 14.70/14.81  cnf('1.2.4',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ [])), -(model(18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []))],extension(7,bind([[_28912, _28961], [18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.4.1',plain,[model(18 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []), model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ [])],extension(6,bind([[_28912, _28961], [18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []]]))).
% 14.70/14.81  cnf('1.2.4.1.1',plain,[-(model(18 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []))],lemmata('1.2')).
% 14.70/14.81  cnf('1.3',plain,[-(status(53 ^ [], not not 53 ^ [], thm)), -(model(10 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []))],extension(10,bind([[_15577, _15520], [not not 53 ^ [], 53 ^ []]]))).
% 14.70/14.81  cnf('1.3.1',plain,[model(10 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []), model(10 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ [])],extension(6,bind([[_28912, _28961], [10 ^ [not not 53 ^ [], 53 ^ []], 53 ^ []]]))).
% 14.70/14.81  cnf('1.3.1.1',plain,[-(model(10 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ [])), -(model(10 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ []))],extension(7,bind([[_28912, _28961], [10 ^ [not not 53 ^ [], 53 ^ []], not 53 ^ []]]))).
% 14.70/14.81  cnf('1.3.1.1.1',plain,[model(10 ^ [not not 53 ^ [], 53 ^ []], not not 53 ^ []), -(status(53 ^ [], not not 53 ^ [], thm))],extension(11,bind([[_15520, _15577], [53 ^ [], not not 53 ^ []]]))).
% 14.70/14.81  cnf('1.3.1.1.1.1',plain,[status(53 ^ [], not not 53 ^ [], thm)],reduction('1')).
% 14.70/14.81  %-----------------------------------------------------
% 14.70/14.81  
% 14.70/14.81  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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