TSTP Solution File: GRP618+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 : Sat Jul 16 10:14:10 EDT 2022
% Result : Theorem 2.19s 2.43s
% Output : Proof 2.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 19:47:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.19/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.19/2.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.19/2.44
% 2.19/2.44 %-----------------------------------------------------
% 2.19/2.44 fof(t1_autgroup, conjecture, ! [_113742] : (~ v3_struct_0(_113742) & v1_group_1(_113742) & v3_group_1(_113742) & v4_group_1(_113742) & l1_group_1(_113742) => ! [_113787] : (m1_group_2(_113787, _113742) => (! [_113805] : (m1_subset_1(_113805, u1_struct_0(_113742)) => ! [_113827] : (m1_subset_1(_113827, u1_struct_0(_113742)) => m1_subset_1(_113827, u1_struct_0(_113787)) => r1_rlvect_1(_113787, k2_group_3(_113742, _113827, _113805)))) <=> v1_group_3(_113787, _113742)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_autgroup)).
% 2.19/2.44 fof(l1_autgroup, axiom, ! [_114509] : (~ v3_struct_0(_114509) & v1_group_1(_114509) & v3_group_1(_114509) & v4_group_1(_114509) & l1_group_1(_114509) => ! [_114554] : (m1_group_2(_114554, _114509) => ! [_114572] : (m1_subset_1(_114572, u1_struct_0(_114509)) => ! [_114594] : (m1_subset_1(_114594, u1_struct_0(_114509)) => m1_subset_1(_114594, u1_struct_0(_114554)) => r1_rlvect_1(_114554, k2_group_3(_114509, _114594, _114572)))) => v1_group_3(_114554, _114509))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l1_autgroup)).
% 2.19/2.44 fof(l2_autgroup, axiom, ! [_115044] : (~ v3_struct_0(_115044) & v1_group_1(_115044) & v3_group_1(_115044) & v4_group_1(_115044) & l1_group_1(_115044) => ! [_115089] : (m1_group_2(_115089, _115044) => v1_group_3(_115089, _115044) => ! [_115117] : (m1_subset_1(_115117, u1_struct_0(_115044)) => ! [_115139] : (m1_subset_1(_115139, u1_struct_0(_115044)) => m1_subset_1(_115139, u1_struct_0(_115089)) => r1_rlvect_1(_115089, k2_group_3(_115044, _115139, _115117)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l2_autgroup)).
% 2.19/2.44
% 2.19/2.44 cnf(1, plain, [-(29 ^ []), r1_rlvect_1(25 ^ [], k2_group_3(24 ^ [], 28 ^ [], 27 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(2, plain, [-(29 ^ []), -(m1_subset_1(28 ^ [], u1_struct_0(25 ^ [])))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(3, plain, [-(29 ^ []), -(m1_subset_1(28 ^ [], u1_struct_0(24 ^ [])))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(4, plain, [-(29 ^ []), -(m1_subset_1(27 ^ [], u1_struct_0(24 ^ [])))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(5, plain, [-(29 ^ []), -(v1_group_3(25 ^ [], 24 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(6, plain, [-(26 ^ []), m1_subset_1(_90395, u1_struct_0(24 ^ [])), m1_subset_1(_90406, u1_struct_0(24 ^ [])), m1_subset_1(_90406, u1_struct_0(25 ^ [])), -(r1_rlvect_1(25 ^ [], k2_group_3(24 ^ [], _90406, _90395)))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(7, plain, [-(26 ^ []), v1_group_3(25 ^ [], 24 ^ [])], clausify(t1_autgroup)).
% 2.19/2.44 cnf(8, plain, [v3_struct_0(24 ^ [])], clausify(t1_autgroup)).
% 2.19/2.44 cnf(9, plain, [-(v1_group_1(24 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(10, plain, [-(v3_group_1(24 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(11, plain, [-(v4_group_1(24 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(12, plain, [-(l1_group_1(24 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(13, plain, [-(m1_group_2(25 ^ [], 24 ^ []))], clausify(t1_autgroup)).
% 2.19/2.44 cnf(14, plain, [29 ^ [], 26 ^ []], clausify(t1_autgroup)).
% 2.19/2.44 cnf(15, plain, [-(v1_group_3(_72203, _71821)), -(m1_subset_1(22 ^ [_72203, _71821], u1_struct_0(_71821))), m1_group_2(_72203, _71821), -(v3_struct_0(_71821)), v1_group_1(_71821), v3_group_1(_71821), v4_group_1(_71821), l1_group_1(_71821)], clausify(l1_autgroup)).
% 2.19/2.44 cnf(16, plain, [-(v1_group_3(_72203, _71821)), -(m1_subset_1(23 ^ [_72203, _71821], u1_struct_0(_71821))), m1_group_2(_72203, _71821), -(v3_struct_0(_71821)), v1_group_1(_71821), v3_group_1(_71821), v4_group_1(_71821), l1_group_1(_71821)], clausify(l1_autgroup)).
% 2.19/2.44 cnf(17, plain, [-(v1_group_3(_72203, _71821)), -(m1_subset_1(23 ^ [_72203, _71821], u1_struct_0(_72203))), m1_group_2(_72203, _71821), -(v3_struct_0(_71821)), v1_group_1(_71821), v3_group_1(_71821), v4_group_1(_71821), l1_group_1(_71821)], clausify(l1_autgroup)).
% 2.19/2.44 cnf(18, plain, [-(v1_group_3(_72203, _71821)), r1_rlvect_1(_72203, k2_group_3(_71821, 23 ^ [_72203, _71821], 22 ^ [_72203, _71821])), m1_group_2(_72203, _71821), -(v3_struct_0(_71821)), v1_group_1(_71821), v3_group_1(_71821), v4_group_1(_71821), l1_group_1(_71821)], clausify(l1_autgroup)).
% 2.19/2.44 cnf(19, plain, [l1_group_1(_73093), v4_group_1(_73093), v3_group_1(_73093), v1_group_1(_73093), -(v3_struct_0(_73093)), m1_group_2(_73475, _73093), v1_group_3(_73475, _73093), m1_subset_1(_73681, u1_struct_0(_73093)), m1_subset_1(_73831, u1_struct_0(_73093)), m1_subset_1(_73831, u1_struct_0(_73475)), -(r1_rlvect_1(_73475, k2_group_3(_73093, _73831, _73681)))], clausify(l2_autgroup)).
% 2.19/2.44
% 2.19/2.44 cnf('1',plain,[29 ^ [], 26 ^ []],start(14)).
% 2.19/2.44 cnf('1.1',plain,[-(29 ^ []), r1_rlvect_1(25 ^ [], k2_group_3(24 ^ [], 28 ^ [], 27 ^ []))],extension(1)).
% 2.19/2.44 cnf('1.1.1',plain,[-(r1_rlvect_1(25 ^ [], k2_group_3(24 ^ [], 28 ^ [], 27 ^ []))), l1_group_1(24 ^ []), v4_group_1(24 ^ []), v3_group_1(24 ^ []), v1_group_1(24 ^ []), -(v3_struct_0(24 ^ [])), m1_group_2(25 ^ [], 24 ^ []), v1_group_3(25 ^ [], 24 ^ []), m1_subset_1(27 ^ [], u1_struct_0(24 ^ [])), m1_subset_1(28 ^ [], u1_struct_0(24 ^ [])), m1_subset_1(28 ^ [], u1_struct_0(25 ^ []))],extension(19,bind([[_73681, _73093, _73831, _73475], [27 ^ [], 24 ^ [], 28 ^ [], 25 ^ []]]))).
% 2.19/2.44 cnf('1.1.1.1',plain,[-(l1_group_1(24 ^ []))],extension(12)).
% 2.19/2.44 cnf('1.1.1.2',plain,[-(v4_group_1(24 ^ []))],extension(11)).
% 2.19/2.44 cnf('1.1.1.3',plain,[-(v3_group_1(24 ^ []))],extension(10)).
% 2.19/2.44 cnf('1.1.1.4',plain,[-(v1_group_1(24 ^ []))],extension(9)).
% 2.19/2.44 cnf('1.1.1.5',plain,[v3_struct_0(24 ^ [])],extension(8)).
% 2.19/2.44 cnf('1.1.1.6',plain,[-(m1_group_2(25 ^ [], 24 ^ []))],extension(13)).
% 2.19/2.44 cnf('1.1.1.7',plain,[-(v1_group_3(25 ^ [], 24 ^ [])), -(29 ^ [])],extension(5)).
% 2.19/2.44 cnf('1.1.1.7.1',plain,[29 ^ []],reduction('1')).
% 2.19/2.44 cnf('1.1.1.8',plain,[-(m1_subset_1(27 ^ [], u1_struct_0(24 ^ []))), -(29 ^ [])],extension(4)).
% 2.19/2.44 cnf('1.1.1.8.1',plain,[29 ^ []],reduction('1')).
% 2.19/2.44 cnf('1.1.1.9',plain,[-(m1_subset_1(28 ^ [], u1_struct_0(24 ^ []))), -(29 ^ [])],extension(3)).
% 2.19/2.44 cnf('1.1.1.9.1',plain,[29 ^ []],reduction('1')).
% 2.19/2.44 cnf('1.1.1.10',plain,[-(m1_subset_1(28 ^ [], u1_struct_0(25 ^ []))), -(29 ^ [])],extension(2)).
% 2.19/2.44 cnf('1.1.1.10.1',plain,[29 ^ []],reduction('1')).
% 2.19/2.44 cnf('1.2',plain,[-(26 ^ []), v1_group_3(25 ^ [], 24 ^ [])],extension(7)).
% 2.19/2.44 cnf('1.2.1',plain,[-(v1_group_3(25 ^ [], 24 ^ [])), r1_rlvect_1(25 ^ [], k2_group_3(24 ^ [], 23 ^ [25 ^ [], 24 ^ []], 22 ^ [25 ^ [], 24 ^ []])), m1_group_2(25 ^ [], 24 ^ []), -(v3_struct_0(24 ^ [])), v1_group_1(24 ^ []), v3_group_1(24 ^ []), v4_group_1(24 ^ []), l1_group_1(24 ^ [])],extension(18,bind([[_72203, _71821], [25 ^ [], 24 ^ []]]))).
% 2.19/2.44 cnf('1.2.1.1',plain,[-(r1_rlvect_1(25 ^ [], k2_group_3(24 ^ [], 23 ^ [25 ^ [], 24 ^ []], 22 ^ [25 ^ [], 24 ^ []]))), -(26 ^ []), m1_subset_1(22 ^ [25 ^ [], 24 ^ []], u1_struct_0(24 ^ [])), m1_subset_1(23 ^ [25 ^ [], 24 ^ []], u1_struct_0(24 ^ [])), m1_subset_1(23 ^ [25 ^ [], 24 ^ []], u1_struct_0(25 ^ []))],extension(6,bind([[_90395, _90406], [22 ^ [25 ^ [], 24 ^ []], 23 ^ [25 ^ [], 24 ^ []]]]))).
% 2.19/2.44 cnf('1.2.1.1.1',plain,[26 ^ []],reduction('1')).
% 2.19/2.44 cnf('1.2.1.1.2',plain,[-(m1_subset_1(22 ^ [25 ^ [], 24 ^ []], u1_struct_0(24 ^ []))), -(v1_group_3(25 ^ [], 24 ^ [])), m1_group_2(25 ^ [], 24 ^ []), -(v3_struct_0(24 ^ [])), v1_group_1(24 ^ []), v3_group_1(24 ^ []), v4_group_1(24 ^ []), l1_group_1(24 ^ [])],extension(15,bind([[_72203, _71821], [25 ^ [], 24 ^ []]]))).
% 2.19/2.44 cnf('1.2.1.1.2.1',plain,[v1_group_3(25 ^ [], 24 ^ [])],reduction('1.2')).
% 2.19/2.44 cnf('1.2.1.1.2.2',plain,[-(m1_group_2(25 ^ [], 24 ^ []))],extension(13)).
% 2.19/2.44 cnf('1.2.1.1.2.3',plain,[v3_struct_0(24 ^ [])],extension(8)).
% 2.19/2.44 cnf('1.2.1.1.2.4',plain,[-(v1_group_1(24 ^ []))],extension(9)).
% 2.19/2.44 cnf('1.2.1.1.2.5',plain,[-(v3_group_1(24 ^ []))],extension(10)).
% 2.19/2.44 cnf('1.2.1.1.2.6',plain,[-(v4_group_1(24 ^ []))],extension(11)).
% 2.19/2.44 cnf('1.2.1.1.2.7',plain,[-(l1_group_1(24 ^ []))],extension(12)).
% 2.19/2.44 cnf('1.2.1.1.3',plain,[-(m1_subset_1(23 ^ [25 ^ [], 24 ^ []], u1_struct_0(24 ^ []))), -(v1_group_3(25 ^ [], 24 ^ [])), m1_group_2(25 ^ [], 24 ^ []), -(v3_struct_0(24 ^ [])), v1_group_1(24 ^ []), v3_group_1(24 ^ []), v4_group_1(24 ^ []), l1_group_1(24 ^ [])],extension(16,bind([[_72203, _71821], [25 ^ [], 24 ^ []]]))).
% 2.19/2.44 cnf('1.2.1.1.3.1',plain,[v1_group_3(25 ^ [], 24 ^ [])],reduction('1.2')).
% 2.19/2.44 cnf('1.2.1.1.3.2',plain,[-(m1_group_2(25 ^ [], 24 ^ []))],extension(13)).
% 2.19/2.44 cnf('1.2.1.1.3.3',plain,[v3_struct_0(24 ^ [])],extension(8)).
% 2.19/2.44 cnf('1.2.1.1.3.4',plain,[-(v1_group_1(24 ^ []))],extension(9)).
% 2.19/2.44 cnf('1.2.1.1.3.5',plain,[-(v3_group_1(24 ^ []))],extension(10)).
% 2.19/2.44 cnf('1.2.1.1.3.6',plain,[-(v4_group_1(24 ^ []))],extension(11)).
% 2.19/2.44 cnf('1.2.1.1.3.7',plain,[-(l1_group_1(24 ^ []))],extension(12)).
% 2.19/2.44 cnf('1.2.1.1.4',plain,[-(m1_subset_1(23 ^ [25 ^ [], 24 ^ []], u1_struct_0(25 ^ []))), -(v1_group_3(25 ^ [], 24 ^ [])), m1_group_2(25 ^ [], 24 ^ []), -(v3_struct_0(24 ^ [])), v1_group_1(24 ^ []), v3_group_1(24 ^ []), v4_group_1(24 ^ []), l1_group_1(24 ^ [])],extension(17,bind([[_72203, _71821], [25 ^ [], 24 ^ []]]))).
% 2.19/2.44 cnf('1.2.1.1.4.1',plain,[v1_group_3(25 ^ [], 24 ^ [])],reduction('1.2')).
% 2.19/2.44 cnf('1.2.1.1.4.2',plain,[-(m1_group_2(25 ^ [], 24 ^ []))],extension(13)).
% 2.19/2.44 cnf('1.2.1.1.4.3',plain,[v3_struct_0(24 ^ [])],extension(8)).
% 2.19/2.44 cnf('1.2.1.1.4.4',plain,[-(v1_group_1(24 ^ []))],extension(9)).
% 2.19/2.44 cnf('1.2.1.1.4.5',plain,[-(v3_group_1(24 ^ []))],extension(10)).
% 2.19/2.44 cnf('1.2.1.1.4.6',plain,[-(v4_group_1(24 ^ []))],extension(11)).
% 2.19/2.44 cnf('1.2.1.1.4.7',plain,[-(l1_group_1(24 ^ []))],extension(12)).
% 2.19/2.44 cnf('1.2.1.2',plain,[-(m1_group_2(25 ^ [], 24 ^ []))],extension(13)).
% 2.19/2.44 cnf('1.2.1.3',plain,[v3_struct_0(24 ^ [])],extension(8)).
% 2.19/2.44 cnf('1.2.1.4',plain,[-(v1_group_1(24 ^ []))],extension(9)).
% 2.19/2.44 cnf('1.2.1.5',plain,[-(v3_group_1(24 ^ []))],extension(10)).
% 2.19/2.44 cnf('1.2.1.6',plain,[-(v4_group_1(24 ^ []))],extension(11)).
% 2.19/2.44 cnf('1.2.1.7',plain,[-(l1_group_1(24 ^ []))],extension(12)).
% 2.19/2.44 %-----------------------------------------------------
% 2.19/2.44
% 2.19/2.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------