TSTP Solution File: KRS116+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 03:13:44 EDT 2022
% Result : Unsatisfiable 29.76s 29.36s
% Output : Proof 29.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 17:38:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 29.76/29.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.76/29.36 % SZS output start Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.76/29.37
% 29.76/29.37 %-----------------------------------------------------
% 29.76/29.37 fof(axiom_8, axiom, ! [_29726] : (ca_Vx3(_29726) <=> ? [_29741] : (rr(_29726, _29741) & cowlThing(_29741))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_8)).
% 29.76/29.37 fof(axiom_7, axiom, ! [_29915] : (ca_Ax2(_29915) <=> ! [_29930] : (rp(_29915, _29930) => ca_Vx3(_29930)) & ! [_29930] : (rp(_29915, _29930) => ca_Vx5(_29930)) & ! [_29930] : (rr(_29915, _29930) => cc(_29930)) & ? [_29930] : (rr(_29915, _29930) & cowlThing(_29930)) & ? [_29930] : (rp(_29915, _29930) & cowlThing(_29930)) & ! [_29930] : (rp(_29915, _29930) => ca_Vx4(_29930))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_7)).
% 29.76/29.37 fof(axiom_3, axiom, ! [_30513] : (cUnsatisfiable(_30513) => ? [_30528] : (rs(_30513, _30528) & ca_Ax2(_30528))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 29.76/29.37 fof(axiom_2, axiom, ! [_30708] : (cUnsatisfiable(_30708) => ca(_30708)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 29.76/29.37 fof(axiom_4, axiom, ! [_30841] : (ca(_30841) <=> ~ ? [_30858] : ra_Px1(_30841, _30858)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 29.76/29.37 fof(axiom_5, axiom, ! [_31007] : (caxcomp(_31007) <=> ? [_31022] : ra_Px1(_31007, _31022)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 29.76/29.37 fof(axiom_6, axiom, ! [_31167] : (cc(_31167) <=> ! [_31182] : (rinvR(_31167, _31182) => ca_Vx7(_31182))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_6)).
% 29.76/29.37 fof(axiom_10, axiom, ! [_31374] : (ca_Vx5(_31374) <=> ! [_31389] : (rr(_31374, _31389) => cc(_31389))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_10)).
% 29.76/29.37 fof(axiom_11, axiom, ! [_31554] : (ca_Vx6(_31554) <=> ! [_31569] : (rinvS(_31554, _31569) => caxcomp(_31569))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_11)).
% 29.76/29.37 fof(axiom_12, axiom, ! [_31734] : (ca_Vx7(_31734) <=> ! [_31749] : (rinvP(_31734, _31749) => ca_Vx6(_31749))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_12)).
% 29.76/29.37 fof(axiom_13, axiom, ! [_31914, _31917] : (rinvP(_31914, _31917) <=> rp(_31917, _31914)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_13)).
% 29.76/29.37 fof(axiom_14, axiom, ! [_32061, _32064] : (rinvR(_32061, _32064) <=> rr(_32064, _32061)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_14)).
% 29.76/29.37 fof(axiom_17, axiom, cUnsatisfiable(i2003_11_14_17_21_33997), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_17)).
% 29.76/29.37 fof(axiom_15, axiom, ! [_32256, _32259] : (rinvS(_32256, _32259) <=> rs(_32259, _32256)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_15)).
% 29.76/29.37
% 29.76/29.37 cnf(1, plain, [-(19 ^ [_9838]), -(rr(_9838, 18 ^ [_9838]))], clausify(axiom_8)).
% 29.76/29.37 cnf(2, plain, [-(9 ^ [_8526]), -(rp(_8526, 8 ^ [_8526]))], clausify(axiom_7)).
% 29.76/29.37 cnf(3, plain, [-(9 ^ [_8526]), rp(_8526, _8865), -(ca_Vx5(_8865))], clausify(axiom_7)).
% 29.76/29.37 cnf(4, plain, [-(9 ^ [_8526]), rp(_8526, _8703), -(ca_Vx3(_8703))], clausify(axiom_7)).
% 29.76/29.37 cnf(5, plain, [-(2 ^ [_7251]), -(ca_Ax2(1 ^ [_7251]))], clausify(axiom_3)).
% 29.76/29.37 cnf(6, plain, [-(2 ^ [_7251]), -(rs(_7251, 1 ^ [_7251]))], clausify(axiom_3)).
% 29.76/29.37 cnf(7, plain, [cUnsatisfiable(_7041), -(ca(_7041))], clausify(axiom_2)).
% 29.76/29.37 cnf(8, plain, [cUnsatisfiable(_7251), 2 ^ [_7251]], clausify(axiom_3)).
% 29.76/29.37 cnf(9, plain, [ca(_7597), ra_Px1(_7597, _7690)], clausify(axiom_4)).
% 29.76/29.37 cnf(10, plain, [caxcomp(_7898), -(ra_Px1(_7898, 4 ^ [_7898]))], clausify(axiom_5)).
% 29.76/29.37 cnf(11, plain, [cc(_8181), rinvR(_8181, _8268), -(ca_Vx7(_8268))], clausify(axiom_6)).
% 29.76/29.37 cnf(12, plain, [ca_Ax2(_8526), 9 ^ [_8526]], clausify(axiom_7)).
% 29.76/29.37 cnf(13, plain, [ca_Vx3(_9838), 19 ^ [_9838]], clausify(axiom_8)).
% 29.76/29.37 cnf(14, plain, [ca_Vx5(_10530), rr(_10530, _10617), -(cc(_10617))], clausify(axiom_10)).
% 29.76/29.37 cnf(15, plain, [ca_Vx6(_10875), rinvS(_10875, _10962), -(caxcomp(_10962))], clausify(axiom_11)).
% 29.76/29.37 cnf(16, plain, [ca_Vx7(_11220), rinvP(_11220, _11307), -(ca_Vx6(_11307))], clausify(axiom_12)).
% 29.76/29.37 cnf(17, plain, [-(rinvP(_11565, _11610)), rp(_11610, _11565)], clausify(axiom_13)).
% 29.76/29.37 cnf(18, plain, [-(rinvR(_11875, _11920)), rr(_11920, _11875)], clausify(axiom_14)).
% 29.76/29.37 cnf(19, plain, [-(cUnsatisfiable(i2003_11_14_17_21_33997))], clausify(axiom_17)).
% 29.76/29.37 cnf(20, plain, [-(rinvS(_12185, _12230)), rs(_12230, _12185)], clausify(axiom_15)).
% 29.76/29.37
% 29.76/29.37 cnf('1',plain,[ca_Ax2(1 ^ [i2003_11_14_17_21_33997]), 9 ^ [1 ^ [i2003_11_14_17_21_33997]]],start(12,bind([[_8526], [1 ^ [i2003_11_14_17_21_33997]]]))).
% 29.76/29.37 cnf('1.1',plain,[-(ca_Ax2(1 ^ [i2003_11_14_17_21_33997])), -(2 ^ [i2003_11_14_17_21_33997])],extension(5,bind([[_7251], [i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.1.1',plain,[2 ^ [i2003_11_14_17_21_33997], cUnsatisfiable(i2003_11_14_17_21_33997)],extension(8,bind([[_7251], [i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_33997))],extension(19)).
% 29.76/29.37 cnf('1.2',plain,[-(9 ^ [1 ^ [i2003_11_14_17_21_33997]]), -(rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]))],extension(2,bind([[_8526], [1 ^ [i2003_11_14_17_21_33997]]]))).
% 29.76/29.37 cnf('1.2.1',plain,[rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]), -(9 ^ [1 ^ [i2003_11_14_17_21_33997]]), -(ca_Vx5(8 ^ [1 ^ [i2003_11_14_17_21_33997]]))],extension(3,bind([[_8526, _8865], [1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.1',plain,[9 ^ [1 ^ [i2003_11_14_17_21_33997]]],reduction('1')).
% 29.76/29.37 cnf('1.2.1.2',plain,[ca_Vx5(8 ^ [1 ^ [i2003_11_14_17_21_33997]]), rr(8 ^ [1 ^ [i2003_11_14_17_21_33997]], 18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]), -(cc(18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]))],extension(14,bind([[_10530, _10617], [8 ^ [1 ^ [i2003_11_14_17_21_33997]], 18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]]))).
% 29.76/29.37 cnf('1.2.1.2.1',plain,[-(rr(8 ^ [1 ^ [i2003_11_14_17_21_33997]], 18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]])), -(19 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]])],extension(1,bind([[_9838], [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.1.1',plain,[19 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]], ca_Vx3(8 ^ [1 ^ [i2003_11_14_17_21_33997]])],extension(13,bind([[_9838], [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.1.1.1',plain,[-(ca_Vx3(8 ^ [1 ^ [i2003_11_14_17_21_33997]])), -(9 ^ [1 ^ [i2003_11_14_17_21_33997]]), rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]])],extension(4,bind([[_8526, _8703], [1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.1.1.1.1',plain,[9 ^ [1 ^ [i2003_11_14_17_21_33997]]],lemmata('1.2.1')).
% 29.76/29.37 cnf('1.2.1.2.1.1.1.2',plain,[-(rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]))],reduction('1.2')).
% 29.76/29.37 cnf('1.2.1.2.2',plain,[cc(18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]), rinvR(18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]), -(ca_Vx7(8 ^ [1 ^ [i2003_11_14_17_21_33997]]))],extension(11,bind([[_8181, _8268], [18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.1',plain,[-(rinvR(18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]], 8 ^ [1 ^ [i2003_11_14_17_21_33997]])), rr(8 ^ [1 ^ [i2003_11_14_17_21_33997]], 18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]])],extension(18,bind([[_11920, _11875], [8 ^ [1 ^ [i2003_11_14_17_21_33997]], 18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.1.1',plain,[-(rr(8 ^ [1 ^ [i2003_11_14_17_21_33997]], 18 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]])), -(19 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]])],extension(1,bind([[_9838], [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.1.1.1',plain,[19 ^ [8 ^ [1 ^ [i2003_11_14_17_21_33997]]], ca_Vx3(8 ^ [1 ^ [i2003_11_14_17_21_33997]])],extension(13,bind([[_9838], [8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.1.1.1.1',plain,[-(ca_Vx3(8 ^ [1 ^ [i2003_11_14_17_21_33997]])), -(9 ^ [1 ^ [i2003_11_14_17_21_33997]]), rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]])],extension(4,bind([[_8526, _8703], [1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.1.1.1.1.1',plain,[9 ^ [1 ^ [i2003_11_14_17_21_33997]]],lemmata('1.2.1')).
% 29.76/29.37 cnf('1.2.1.2.2.1.1.1.1.2',plain,[-(rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]))],reduction('1.2')).
% 29.76/29.37 cnf('1.2.1.2.2.2',plain,[ca_Vx7(8 ^ [1 ^ [i2003_11_14_17_21_33997]]), rinvP(8 ^ [1 ^ [i2003_11_14_17_21_33997]], 1 ^ [i2003_11_14_17_21_33997]), -(ca_Vx6(1 ^ [i2003_11_14_17_21_33997]))],extension(16,bind([[_11220, _11307], [8 ^ [1 ^ [i2003_11_14_17_21_33997]], 1 ^ [i2003_11_14_17_21_33997]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.1',plain,[-(rinvP(8 ^ [1 ^ [i2003_11_14_17_21_33997]], 1 ^ [i2003_11_14_17_21_33997])), rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]])],extension(17,bind([[_11610, _11565], [1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.1.1',plain,[-(rp(1 ^ [i2003_11_14_17_21_33997], 8 ^ [1 ^ [i2003_11_14_17_21_33997]]))],reduction('1.2')).
% 29.76/29.37 cnf('1.2.1.2.2.2.2',plain,[ca_Vx6(1 ^ [i2003_11_14_17_21_33997]), rinvS(1 ^ [i2003_11_14_17_21_33997], i2003_11_14_17_21_33997), -(caxcomp(i2003_11_14_17_21_33997))],extension(15,bind([[_10875, _10962], [1 ^ [i2003_11_14_17_21_33997], i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.1',plain,[-(rinvS(1 ^ [i2003_11_14_17_21_33997], i2003_11_14_17_21_33997)), rs(i2003_11_14_17_21_33997, 1 ^ [i2003_11_14_17_21_33997])],extension(20,bind([[_12230, _12185], [i2003_11_14_17_21_33997, 1 ^ [i2003_11_14_17_21_33997]]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.1.1',plain,[-(rs(i2003_11_14_17_21_33997, 1 ^ [i2003_11_14_17_21_33997])), -(2 ^ [i2003_11_14_17_21_33997])],extension(6,bind([[_7251], [i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.1.1.1',plain,[2 ^ [i2003_11_14_17_21_33997], cUnsatisfiable(i2003_11_14_17_21_33997)],extension(8,bind([[_7251], [i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_33997))],extension(19)).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.2',plain,[caxcomp(i2003_11_14_17_21_33997), -(ra_Px1(i2003_11_14_17_21_33997, 4 ^ [i2003_11_14_17_21_33997]))],extension(10,bind([[_7898], [i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.2.1',plain,[ra_Px1(i2003_11_14_17_21_33997, 4 ^ [i2003_11_14_17_21_33997]), ca(i2003_11_14_17_21_33997)],extension(9,bind([[_7690, _7597], [4 ^ [i2003_11_14_17_21_33997], i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.2.1.1',plain,[-(ca(i2003_11_14_17_21_33997)), cUnsatisfiable(i2003_11_14_17_21_33997)],extension(7,bind([[_7041], [i2003_11_14_17_21_33997]]))).
% 29.76/29.37 cnf('1.2.1.2.2.2.2.2.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_33997))],extension(19)).
% 29.76/29.37 %-----------------------------------------------------
% 29.76/29.37
% 29.76/29.37 % SZS output end Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------