TSTP Solution File: KRS084+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 03:13:39 EDT 2022
% Result : Unsatisfiable 59.90s 59.61s
% Output : Proof 59.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 07:37:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 59.90/59.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.90/59.62 % SZS output start Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.90/59.63
% 59.90/59.63 %-----------------------------------------------------
% 59.90/59.63 fof(axiom_3, axiom, ! [_47418] : (cd(_47418) <=> ? [_47433] : (rf(_47418, _47433) & ~ cc(_47433)) & cc(_47418)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 59.90/59.63 fof(axiom_2, axiom, ! [_47649] : (cUnsatisfiable(_47649) <=> ? [_47664] : (rinvF(_47649, _47664) & cd(_47664)) & ! [_47664] : (rinvR(_47649, _47664) => ? [_47706] : (rinvF(_47664, _47706) & cd(_47706))) & ~ cc(_47649)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 59.90/59.63 fof(axiom_4, axiom, ! [_48132, _48135, _48138] : (rf(_48132, _48135) & rf(_48132, _48138) => _48135 = _48138), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 59.90/59.63 fof(axiom_5, axiom, ! [_48313, _48316] : (rinvF(_48313, _48316) <=> rf(_48316, _48313)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 59.90/59.63 fof(axiom_6, axiom, ! [_48461, _48464] : (rinvR(_48461, _48464) <=> rr(_48464, _48461)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_6)).
% 59.90/59.63 fof(axiom_8, axiom, cUnsatisfiable(i2003_11_14_17_19_35232), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_8)).
% 59.90/59.63 fof(axiom_9, axiom, ! [_48654, _48657] : (rf(_48654, _48657) => rr(_48654, _48657)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_9)).
% 59.90/59.63
% 59.90/59.63 cnf(1, plain, [-(8 ^ [_25674]), -(cc(_25674))], clausify(axiom_3)).
% 59.90/59.63 cnf(2, plain, [-(8 ^ [_25674]), cc(7 ^ [_25674])], clausify(axiom_3)).
% 59.90/59.63 cnf(3, plain, [-(8 ^ [_25674]), -(rf(_25674, 7 ^ [_25674]))], clausify(axiom_3)).
% 59.90/59.63 cnf(4, plain, [-(3 ^ [_25202, _24908]), -(cd(2 ^ [_25202, _24908]))], clausify(axiom_2)).
% 59.90/59.63 cnf(5, plain, [-(3 ^ [_25202, _24908]), -(rinvF(_25202, 2 ^ [_25202, _24908]))], clausify(axiom_2)).
% 59.90/59.63 cnf(6, plain, [-(4 ^ [_24908]), rinvR(_24908, _25202), 3 ^ [_25202, _24908]], clausify(axiom_2)).
% 59.90/59.63 cnf(7, plain, [-(4 ^ [_24908]), -(cd(1 ^ [_24908]))], clausify(axiom_2)).
% 59.90/59.63 cnf(8, plain, [-(4 ^ [_24908]), -(rinvF(_24908, 1 ^ [_24908]))], clausify(axiom_2)).
% 59.90/59.63 cnf(9, plain, [-(_12375 = _12375)], theory(equality)).
% 59.90/59.63 cnf(10, plain, [-(cc(_13661)), _13612 = _13661, cc(_13612)], theory(equality)).
% 59.90/59.63 cnf(11, plain, [-(rinvR(_16243, _16374)), rinvR(_16176, _16309), _16176 = _16243, _16309 = _16374], theory(equality)).
% 59.90/59.63 cnf(12, plain, [cUnsatisfiable(_24908), 4 ^ [_24908]], clausify(axiom_2)).
% 59.90/59.63 cnf(13, plain, [cd(_25674), 8 ^ [_25674]], clausify(axiom_3)).
% 59.90/59.63 cnf(14, plain, [-(_26154 = _26209), rf(_26098, _26154), rf(_26098, _26209)], clausify(axiom_4)).
% 59.90/59.63 cnf(15, plain, [rinvF(_26565, _26610), -(rf(_26610, _26565))], clausify(axiom_5)).
% 59.90/59.63 cnf(16, plain, [-(rinvR(_26875, _26920)), rr(_26920, _26875)], clausify(axiom_6)).
% 59.90/59.63 cnf(17, plain, [-(cUnsatisfiable(i2003_11_14_17_19_35232))], clausify(axiom_8)).
% 59.90/59.63 cnf(18, plain, [rf(_27754, _27799), -(rr(_27754, _27799))], clausify(axiom_9)).
% 59.90/59.63
% 59.90/59.63 cnf('1',plain,[cUnsatisfiable(i2003_11_14_17_19_35232), 4 ^ [i2003_11_14_17_19_35232]],start(12,bind([[_24908], [i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_19_35232))],extension(17)).
% 59.90/59.63 cnf('1.2',plain,[-(4 ^ [i2003_11_14_17_19_35232]), rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232]), 3 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]],extension(6,bind([[_25202, _24908], [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1',plain,[-(rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232])), rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232]), i2003_11_14_17_19_35232 = i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232] = 1 ^ [i2003_11_14_17_19_35232]],extension(11,bind([[_16176, _16243, _16309, _16374], [i2003_11_14_17_19_35232, i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232], 1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.1.1',plain,[-(rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232])), rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232]), i2003_11_14_17_19_35232 = i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232] = 1 ^ [i2003_11_14_17_19_35232]],extension(11,bind([[_16176, _16243, _16309, _16374], [i2003_11_14_17_19_35232, i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232], 1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.1.1.1',plain,[-(rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232])), rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232]), i2003_11_14_17_19_35232 = i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232] = 1 ^ [i2003_11_14_17_19_35232]],extension(11,bind([[_16176, _16243, _16309, _16374], [i2003_11_14_17_19_35232, i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232], 1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.1.1.1.1',plain,[-(rinvR(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232])), rr(1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232)],extension(16,bind([[_26920, _26875], [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1.1.1.1.1',plain,[-(rr(1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232)), rf(1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232)],extension(18,bind([[_27754, _27799], [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1.1.1.1.1.1',plain,[-(rf(1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232)), rinvF(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232])],extension(15,bind([[_26565, _26610], [i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.1.1.1.1.1.1.1',plain,[-(rinvF(i2003_11_14_17_19_35232, 1 ^ [i2003_11_14_17_19_35232])), -(4 ^ [i2003_11_14_17_19_35232])],extension(8,bind([[_24908], [i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1.1.1.1.1.1.1.1',plain,[4 ^ [i2003_11_14_17_19_35232]],reduction('1')).
% 59.90/59.63 cnf('1.2.1.1.1.2',plain,[-(i2003_11_14_17_19_35232 = i2003_11_14_17_19_35232)],extension(9,bind([[_12375], [i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1.1.1.3',plain,[-(1 ^ [i2003_11_14_17_19_35232] = 1 ^ [i2003_11_14_17_19_35232])],extension(9,bind([[_12375], [1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.1.1.2',plain,[-(i2003_11_14_17_19_35232 = i2003_11_14_17_19_35232)],extension(9,bind([[_12375], [i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1.1.3',plain,[-(1 ^ [i2003_11_14_17_19_35232] = 1 ^ [i2003_11_14_17_19_35232])],extension(9,bind([[_12375], [1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.1.2',plain,[-(i2003_11_14_17_19_35232 = i2003_11_14_17_19_35232)],extension(9,bind([[_12375], [i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.1.3',plain,[-(1 ^ [i2003_11_14_17_19_35232] = 1 ^ [i2003_11_14_17_19_35232])],extension(9,bind([[_12375], [1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2',plain,[-(3 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]), -(rinvF(1 ^ [i2003_11_14_17_19_35232], 2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]))],extension(5,bind([[_25202, _24908], [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.2.1',plain,[rinvF(1 ^ [i2003_11_14_17_19_35232], 2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]), -(rf(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232], 1 ^ [i2003_11_14_17_19_35232]))],extension(15,bind([[_26610, _26565], [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232], 1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1',plain,[rf(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232], 1 ^ [i2003_11_14_17_19_35232]), -(1 ^ [i2003_11_14_17_19_35232] = 7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]), rf(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232], 7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]])],extension(14,bind([[_26154, _26098, _26209], [1 ^ [i2003_11_14_17_19_35232], 2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232], 7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1',plain,[1 ^ [i2003_11_14_17_19_35232] = 7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]], -(cc(7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]])), cc(1 ^ [i2003_11_14_17_19_35232])],extension(10,bind([[_13661, _13612], [7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]], 1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.1',plain,[cc(7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]), -(8 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]])],extension(2,bind([[_25674], [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.1.1',plain,[8 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]], cd(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232])],extension(13,bind([[_25674], [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.1.1.1',plain,[-(cd(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232])), -(3 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232])],extension(4,bind([[_25202, _24908], [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.1.1.1.1',plain,[3 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]],reduction('1.2')).
% 59.90/59.63 cnf('1.2.2.1.1.1.2',plain,[-(cc(1 ^ [i2003_11_14_17_19_35232])), -(8 ^ [1 ^ [i2003_11_14_17_19_35232]])],extension(1,bind([[_25674], [1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.2.1',plain,[8 ^ [1 ^ [i2003_11_14_17_19_35232]], cd(1 ^ [i2003_11_14_17_19_35232])],extension(13,bind([[_25674], [1 ^ [i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.2.1.1',plain,[-(cd(1 ^ [i2003_11_14_17_19_35232])), -(4 ^ [i2003_11_14_17_19_35232])],extension(7,bind([[_24908], [i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.2.1.1.1.2.1.1.1',plain,[4 ^ [i2003_11_14_17_19_35232]],reduction('1')).
% 59.90/59.63 cnf('1.2.2.1.1.2',plain,[-(rf(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232], 7 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]])), -(8 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]])],extension(3,bind([[_25674], [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.2.1',plain,[8 ^ [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]], cd(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232])],extension(13,bind([[_25674], [2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]]))).
% 59.90/59.63 cnf('1.2.2.1.1.2.1.1',plain,[-(cd(2 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232])), -(3 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232])],extension(4,bind([[_25202, _24908], [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]]))).
% 59.90/59.63 cnf('1.2.2.1.1.2.1.1.1',plain,[3 ^ [1 ^ [i2003_11_14_17_19_35232], i2003_11_14_17_19_35232]],reduction('1.2')).
% 59.90/59.63 %-----------------------------------------------------
% 59.90/59.63
% 59.90/59.64 % SZS output end Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------