TSTP Solution File: KRS083+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% 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 03:13:38 EDT 2022

% Result   : Unsatisfiable 59.93s 60.11s
% Output   : Proof 59.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem  : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.08  % Command  : leancop_casc.sh %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Tue Jun  7 15:49:35 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 59.93/60.11  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.93/60.11  % SZS output start Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.93/60.12  
% 59.93/60.12  %-----------------------------------------------------
% 59.93/60.12  fof(axiom_3, axiom, ! [_47843] : (cd(_47843) <=> ? [_47858] : (rf(_47843, _47858) & ~ cc(_47858)) & cc(_47843)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 59.93/60.12  fof(axiom_2, axiom, ! [_48074] : (cUnsatisfiable(_48074) <=> ! [_48089] : (rinvR(_48074, _48089) => ? [_48107] : (rinvF(_48089, _48107) & cd(_48107))) & ~ cc(_48074) & ? [_48089] : (rinvF(_48074, _48089) & cd(_48089))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 59.93/60.12  fof(axiom_0, axiom, ! [_48528] : (cowlThing(_48528) & ~ cowlNothing(_48528)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_0)).
% 59.93/60.12  fof(axiom_4, axiom, ! [_48684] : (cowlThing(_48684) => ! [_48699, _48702] : (rf(_48684, _48699) & rf(_48684, _48702) => _48699 = _48702)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 59.93/60.12  fof(axiom_5, axiom, ! [_48905, _48908] : (rinvF(_48905, _48908) <=> rf(_48908, _48905)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 59.93/60.12  fof(axiom_6, axiom, ! [_49053, _49056] : (rinvR(_49053, _49056) <=> rr(_49056, _49053)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 59.93/60.12  fof(axiom_8, axiom, cUnsatisfiable(i2003_11_14_17_19_32337), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_8)).
% 59.93/60.12  fof(axiom_9, axiom, ! [_49246, _49249] : (rf(_49246, _49249) => rr(_49246, _49249)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 59.93/60.12  
% 59.93/60.12  cnf(1, plain, [-(8 ^ [_25749]), -(cc(_25749))], clausify(axiom_3)).
% 59.93/60.12  cnf(2, plain, [-(8 ^ [_25749]), cc(7 ^ [_25749])], clausify(axiom_3)).
% 59.93/60.12  cnf(3, plain, [-(8 ^ [_25749]), -(rf(_25749, 7 ^ [_25749]))], clausify(axiom_3)).
% 59.93/60.12  cnf(4, plain, [-(2 ^ [_25114, _24983]), -(cd(1 ^ [_25114, _24983]))], clausify(axiom_2)).
% 59.93/60.12  cnf(5, plain, [-(2 ^ [_25114, _24983]), -(rinvF(_25114, 1 ^ [_25114, _24983]))], clausify(axiom_2)).
% 59.93/60.12  cnf(6, plain, [-(4 ^ [_24983]), rinvR(_24983, _25114), 2 ^ [_25114, _24983]], clausify(axiom_2)).
% 59.93/60.12  cnf(7, plain, [-(4 ^ [_24983]), -(cd(3 ^ [_24983]))], clausify(axiom_2)).
% 59.93/60.12  cnf(8, plain, [-(4 ^ [_24983]), -(rinvF(_24983, 3 ^ [_24983]))], clausify(axiom_2)).
% 59.93/60.12  cnf(9, plain, [-(_12450 = _12450)], theory(equality)).
% 59.93/60.12  cnf(10, plain, [-(cc(_13736)), _13687 = _13736, cc(_13687)], theory(equality)).
% 59.93/60.12  cnf(11, plain, [-(rinvR(_16318, _16449)), rinvR(_16251, _16384), _16251 = _16318, _16384 = _16449], theory(equality)).
% 59.93/60.12  cnf(12, plain, [-(cowlThing(_24527))], clausify(axiom_0)).
% 59.93/60.12  cnf(13, plain, [cUnsatisfiable(_24983), 4 ^ [_24983]], clausify(axiom_2)).
% 59.93/60.12  cnf(14, plain, [cd(_25749), 8 ^ [_25749]], clausify(axiom_3)).
% 59.93/60.12  cnf(15, plain, [cowlThing(_26173), -(_26272 = _26327), rf(_26173, _26272), rf(_26173, _26327)], clausify(axiom_4)).
% 59.93/60.12  cnf(16, plain, [rinvF(_26698, _26743), -(rf(_26743, _26698))], clausify(axiom_5)).
% 59.93/60.12  cnf(17, plain, [-(rinvR(_27008, _27053)), rr(_27053, _27008)], clausify(axiom_6)).
% 59.93/60.12  cnf(18, plain, [-(cUnsatisfiable(i2003_11_14_17_19_32337))], clausify(axiom_8)).
% 59.93/60.12  cnf(19, plain, [rf(_27887, _27932), -(rr(_27887, _27932))], clausify(axiom_9)).
% 59.93/60.12  
% 59.93/60.12  cnf('1',plain,[cUnsatisfiable(i2003_11_14_17_19_32337), 4 ^ [i2003_11_14_17_19_32337]],start(13,bind([[_24983], [i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_19_32337))],extension(18)).
% 59.93/60.12  cnf('1.2',plain,[-(4 ^ [i2003_11_14_17_19_32337]), rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337]), 2 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]],extension(6,bind([[_25114, _24983], [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1',plain,[-(rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337])), rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337]), i2003_11_14_17_19_32337 = i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337] = 3 ^ [i2003_11_14_17_19_32337]],extension(11,bind([[_16251, _16318, _16384, _16449], [i2003_11_14_17_19_32337, i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337], 3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.1.1',plain,[-(rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337])), rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337]), i2003_11_14_17_19_32337 = i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337] = 3 ^ [i2003_11_14_17_19_32337]],extension(11,bind([[_16251, _16318, _16384, _16449], [i2003_11_14_17_19_32337, i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337], 3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.1.1.1',plain,[-(rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337])), rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337]), i2003_11_14_17_19_32337 = i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337] = 3 ^ [i2003_11_14_17_19_32337]],extension(11,bind([[_16251, _16318, _16384, _16449], [i2003_11_14_17_19_32337, i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337], 3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.1.1.1.1',plain,[-(rinvR(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337])), rr(3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337)],extension(17,bind([[_27053, _27008], [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1.1.1.1.1',plain,[-(rr(3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337)), rf(3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337)],extension(19,bind([[_27887, _27932], [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1.1.1.1.1.1',plain,[-(rf(3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337)), rinvF(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337])],extension(16,bind([[_26698, _26743], [i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.1.1.1.1.1.1.1',plain,[-(rinvF(i2003_11_14_17_19_32337, 3 ^ [i2003_11_14_17_19_32337])), -(4 ^ [i2003_11_14_17_19_32337])],extension(8,bind([[_24983], [i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1.1.1.1.1.1.1.1',plain,[4 ^ [i2003_11_14_17_19_32337]],reduction('1')).
% 59.93/60.12  cnf('1.2.1.1.1.2',plain,[-(i2003_11_14_17_19_32337 = i2003_11_14_17_19_32337)],extension(9,bind([[_12450], [i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1.1.1.3',plain,[-(3 ^ [i2003_11_14_17_19_32337] = 3 ^ [i2003_11_14_17_19_32337])],extension(9,bind([[_12450], [3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.1.1.2',plain,[-(i2003_11_14_17_19_32337 = i2003_11_14_17_19_32337)],extension(9,bind([[_12450], [i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1.1.3',plain,[-(3 ^ [i2003_11_14_17_19_32337] = 3 ^ [i2003_11_14_17_19_32337])],extension(9,bind([[_12450], [3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.1.2',plain,[-(i2003_11_14_17_19_32337 = i2003_11_14_17_19_32337)],extension(9,bind([[_12450], [i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.1.3',plain,[-(3 ^ [i2003_11_14_17_19_32337] = 3 ^ [i2003_11_14_17_19_32337])],extension(9,bind([[_12450], [3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2',plain,[-(2 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]), -(rinvF(3 ^ [i2003_11_14_17_19_32337], 1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]))],extension(5,bind([[_25114, _24983], [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.2.1',plain,[rinvF(3 ^ [i2003_11_14_17_19_32337], 1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]), -(rf(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337], 3 ^ [i2003_11_14_17_19_32337]))],extension(16,bind([[_26743, _26698], [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337], 3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1',plain,[rf(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337], 3 ^ [i2003_11_14_17_19_32337]), cowlThing(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]), -(3 ^ [i2003_11_14_17_19_32337] = 7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]), rf(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337], 7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]])],extension(15,bind([[_26272, _26173, _26327], [3 ^ [i2003_11_14_17_19_32337], 1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337], 7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.1',plain,[-(cowlThing(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]))],extension(12,bind([[_24527], [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2',plain,[3 ^ [i2003_11_14_17_19_32337] = 7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]], -(cc(7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]])), cc(3 ^ [i2003_11_14_17_19_32337])],extension(10,bind([[_13736, _13687], [7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]], 3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.1',plain,[cc(7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]), -(8 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]])],extension(2,bind([[_25749], [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.1.1',plain,[8 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]], cd(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337])],extension(14,bind([[_25749], [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.1.1.1',plain,[-(cd(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337])), -(2 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337])],extension(4,bind([[_25114, _24983], [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.1.1.1.1',plain,[2 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]],reduction('1.2')).
% 59.93/60.12  cnf('1.2.2.1.1.2.2',plain,[-(cc(3 ^ [i2003_11_14_17_19_32337])), -(8 ^ [3 ^ [i2003_11_14_17_19_32337]])],extension(1,bind([[_25749], [3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.2.1',plain,[8 ^ [3 ^ [i2003_11_14_17_19_32337]], cd(3 ^ [i2003_11_14_17_19_32337])],extension(14,bind([[_25749], [3 ^ [i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.2.1.1',plain,[-(cd(3 ^ [i2003_11_14_17_19_32337])), -(4 ^ [i2003_11_14_17_19_32337])],extension(7,bind([[_24983], [i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.2.1.1.2.2.1.1.1',plain,[4 ^ [i2003_11_14_17_19_32337]],reduction('1')).
% 59.93/60.12  cnf('1.2.2.1.1.3',plain,[-(rf(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337], 7 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]])), -(8 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]])],extension(3,bind([[_25749], [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.3.1',plain,[8 ^ [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]], cd(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337])],extension(14,bind([[_25749], [1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]]))).
% 59.93/60.12  cnf('1.2.2.1.1.3.1.1',plain,[-(cd(1 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337])), -(2 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337])],extension(4,bind([[_25114, _24983], [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]]))).
% 59.93/60.12  cnf('1.2.2.1.1.3.1.1.1',plain,[2 ^ [3 ^ [i2003_11_14_17_19_32337], i2003_11_14_17_19_32337]],reduction('1.2')).
% 59.93/60.12  %-----------------------------------------------------
% 59.93/60.12  
% 59.93/60.12  % SZS output end Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------