TSTP Solution File: ALG203+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG203+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 : Thu Jul 14 17:21:58 EDT 2022
% Result : Theorem 169.43s 168.32s
% Output : Proof 169.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG203+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n019.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 : Thu Jun 9 02:24:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 169.43/168.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 169.43/168.32 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 169.43/168.33
% 169.43/168.33 %-----------------------------------------------------
% 169.43/168.33 fof(co1, conjecture, ! [_30927] : (sorti1(_30927) => sorti2(h(_30927))) & ! [_30953] : (sorti2(_30953) => sorti1(j(_30953))) => ~ (! [_30981] : (sorti1(_30981) => ! [_30996] : (sorti1(_30996) => h(op1(_30981, _30996)) = op2(h(_30981), h(_30996)))) & ! [_31043] : (sorti2(_31043) => ! [_31058] : (sorti2(_31058) => j(op2(_31043, _31058)) = op1(j(_31043), j(_31058)))) & ! [_31105] : (sorti2(_31105) => h(j(_31105)) = _31105) & ! [_31134] : (sorti1(_31134) => j(h(_31134)) = _31134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 169.43/168.33 fof(ax3, axiom, ? [_31763] : (sorti1(_31763) & op1(_31763, _31763) = _31763) & ? [_31791] : (sorti1(_31791) & (! op1(_31791, _31791)) = _31791), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
% 169.43/168.33 fof(ax4, axiom, ~ (? [_32003] : (sorti2(_32003) & op2(_32003, _32003) = _32003) & ? [_32031] : (sorti2(_32031) & (! op2(_32031, _32031)) = _32031)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax4)).
% 169.43/168.33
% 169.43/168.33 cnf(1, plain, [_8228 = _8277, -(h(_8228) = h(_8277))], theory(equality)).
% 169.43/168.33 cnf(2, plain, [sorti1(_12342), sorti1(_12441), -(h(op1(_12342, _12441)) = op2(h(_12342), h(_12441)))], clausify(co1)).
% 169.43/168.33 cnf(3, plain, [_8557 = _8606, -(j(_8557) = j(_8606))], theory(equality)).
% 169.43/168.33 cnf(4, plain, [_6795 = _6840, -(_6840 = _6795)], theory(equality)).
% 169.43/168.33 cnf(5, plain, [-(_7074 = _7185), _7074 = _7130, _7130 = _7185], theory(equality)).
% 169.43/168.33 cnf(6, plain, [sorti2(_12759), sorti2(_12858), -(j(op2(_12759, _12858)) = op1(j(_12759), j(_12858)))], clausify(co1)).
% 169.43/168.33 cnf(7, plain, [sorti1(_12021), -(sorti2(h(_12021)))], clausify(co1)).
% 169.43/168.33 cnf(8, plain, [-(sorti1(1 ^ []))], clausify(ax3)).
% 169.43/168.33 cnf(9, plain, [op2(_11449, _11449) = _11449, sorti2(_11449), sorti2(_11638), -(op2(_11638, _11638) = _11638)], clausify(ax4)).
% 169.43/168.33 cnf(10, plain, [op1(2 ^ [], 2 ^ []) = 2 ^ []], clausify(ax3)).
% 169.43/168.33 cnf(11, plain, [-(op1(_8886, _9019) = op1(_8953, _9084)), _8886 = _8953, _9019 = _9084], theory(equality)).
% 169.43/168.33 cnf(12, plain, [sorti1(_13360), -(j(h(_13360)) = _13360)], clausify(co1)).
% 169.43/168.33 cnf(13, plain, [-(op1(1 ^ [], 1 ^ []) = 1 ^ [])], clausify(ax3)).
% 169.43/168.33 cnf(14, plain, [-(sorti1(2 ^ []))], clausify(ax3)).
% 169.43/168.33 cnf(15, plain, [-(_6642 = _6642)], theory(equality)).
% 169.43/168.33
% 169.43/168.33 cnf('1',plain,[op1(2 ^ [], 2 ^ []) = 2 ^ []],start(10)).
% 169.43/168.33 cnf('1.1',plain,[-(op1(2 ^ [], 2 ^ []) = 2 ^ []), 2 ^ [] = op1(2 ^ [], 2 ^ [])],extension(4,bind([[_6795, _6840], [2 ^ [], op1(2 ^ [], 2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1',plain,[-(2 ^ [] = op1(2 ^ [], 2 ^ [])), 2 ^ [] = j(h(2 ^ [])), j(h(2 ^ [])) = op1(2 ^ [], 2 ^ [])],extension(5,bind([[_7074, _7130, _7185], [2 ^ [], j(h(2 ^ [])), op1(2 ^ [], 2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.1',plain,[-(2 ^ [] = j(h(2 ^ []))), j(h(2 ^ [])) = 2 ^ []],extension(4,bind([[_6795, _6840], [j(h(2 ^ [])), 2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.1.1',plain,[-(j(h(2 ^ [])) = 2 ^ []), sorti1(2 ^ [])],extension(12,bind([[_13360], [2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(14)).
% 169.43/168.33 cnf('1.1.1.2',plain,[-(j(h(2 ^ [])) = op1(2 ^ [], 2 ^ [])), op1(2 ^ [], 2 ^ []) = j(h(2 ^ []))],extension(4,bind([[_6795, _6840], [op1(2 ^ [], 2 ^ []), j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1',plain,[-(op1(2 ^ [], 2 ^ []) = j(h(2 ^ []))), op1(2 ^ [], 2 ^ []) = op1(j(h(2 ^ [])), j(h(2 ^ []))), op1(j(h(2 ^ [])), j(h(2 ^ []))) = j(h(2 ^ []))],extension(5,bind([[_7074, _7130, _7185], [op1(2 ^ [], 2 ^ []), op1(j(h(2 ^ [])), j(h(2 ^ []))), j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1',plain,[-(op1(2 ^ [], 2 ^ []) = op1(j(h(2 ^ [])), j(h(2 ^ [])))), op1(j(h(2 ^ [])), j(h(2 ^ []))) = op1(2 ^ [], 2 ^ [])],extension(4,bind([[_6795, _6840], [op1(j(h(2 ^ [])), j(h(2 ^ []))), op1(2 ^ [], 2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1',plain,[-(op1(j(h(2 ^ [])), j(h(2 ^ []))) = op1(2 ^ [], 2 ^ [])), j(h(2 ^ [])) = 2 ^ [], j(h(2 ^ [])) = 2 ^ []],extension(11,bind([[_8886, _8953, _9019, _9084], [j(h(2 ^ [])), 2 ^ [], j(h(2 ^ [])), 2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1',plain,[-(j(h(2 ^ [])) = 2 ^ []), 2 ^ [] = j(h(2 ^ []))],extension(4,bind([[_6795, _6840], [2 ^ [], j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1.1',plain,[-(2 ^ [] = j(h(2 ^ []))), 2 ^ [] = j(h(2 ^ [])), j(h(2 ^ [])) = j(h(2 ^ []))],extension(5,bind([[_7074, _7130, _7185], [2 ^ [], j(h(2 ^ [])), j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1.1.1',plain,[-(2 ^ [] = j(h(2 ^ []))), j(h(2 ^ [])) = 2 ^ []],extension(4,bind([[_6795, _6840], [j(h(2 ^ [])), 2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1.1.1.1',plain,[-(j(h(2 ^ [])) = 2 ^ []), sorti1(2 ^ [])],extension(12,bind([[_13360], [2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(14)).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1.1.2',plain,[-(j(h(2 ^ [])) = j(h(2 ^ []))), h(2 ^ []) = h(2 ^ [])],extension(3,bind([[_8557, _8606], [h(2 ^ []), h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.1.1.2.1',plain,[-(h(2 ^ []) = h(2 ^ []))],extension(15,bind([[_6642], [h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2',plain,[-(j(h(2 ^ [])) = 2 ^ []), 2 ^ [] = j(h(2 ^ []))],extension(4,bind([[_6795, _6840], [2 ^ [], j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2.1',plain,[-(2 ^ [] = j(h(2 ^ []))), 2 ^ [] = j(h(2 ^ [])), j(h(2 ^ [])) = j(h(2 ^ []))],extension(5,bind([[_7074, _7130, _7185], [2 ^ [], j(h(2 ^ [])), j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2.1.1',plain,[-(2 ^ [] = j(h(2 ^ []))), j(h(2 ^ [])) = 2 ^ []],extension(4,bind([[_6795, _6840], [j(h(2 ^ [])), 2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2.1.1.1',plain,[-(j(h(2 ^ [])) = 2 ^ []), sorti1(2 ^ [])],extension(12,bind([[_13360], [2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(14)).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2.1.2',plain,[-(j(h(2 ^ [])) = j(h(2 ^ []))), h(2 ^ []) = h(2 ^ [])],extension(3,bind([[_8557, _8606], [h(2 ^ []), h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.1.1.2.1.2.1',plain,[-(h(2 ^ []) = h(2 ^ []))],extension(15,bind([[_6642], [h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2',plain,[-(op1(j(h(2 ^ [])), j(h(2 ^ []))) = j(h(2 ^ []))), op1(j(h(2 ^ [])), j(h(2 ^ []))) = j(op2(h(2 ^ []), h(2 ^ []))), j(op2(h(2 ^ []), h(2 ^ []))) = j(h(2 ^ []))],extension(5,bind([[_7074, _7130, _7185], [op1(j(h(2 ^ [])), j(h(2 ^ []))), j(op2(h(2 ^ []), h(2 ^ []))), j(h(2 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.1',plain,[-(op1(j(h(2 ^ [])), j(h(2 ^ []))) = j(op2(h(2 ^ []), h(2 ^ [])))), j(op2(h(2 ^ []), h(2 ^ []))) = op1(j(h(2 ^ [])), j(h(2 ^ [])))],extension(4,bind([[_6795, _6840], [j(op2(h(2 ^ []), h(2 ^ []))), op1(j(h(2 ^ [])), j(h(2 ^ [])))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.1.1',plain,[-(j(op2(h(2 ^ []), h(2 ^ []))) = op1(j(h(2 ^ [])), j(h(2 ^ [])))), sorti2(h(2 ^ [])), sorti2(h(2 ^ []))],extension(6,bind([[_12759, _12858], [h(2 ^ []), h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.1.1.1',plain,[-(sorti2(h(2 ^ []))), sorti1(2 ^ [])],extension(7,bind([[_12021], [2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(14)).
% 169.43/168.33 cnf('1.1.1.2.1.2.1.1.2',plain,[-(sorti2(h(2 ^ [])))],lemmata('1.1.1.2.1.2.1.1')).
% 169.43/168.33 cnf('1.1.1.2.1.2.2',plain,[-(j(op2(h(2 ^ []), h(2 ^ []))) = j(h(2 ^ []))), op2(h(2 ^ []), h(2 ^ [])) = h(2 ^ [])],extension(3,bind([[_8557, _8606], [op2(h(2 ^ []), h(2 ^ [])), h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1',plain,[-(op2(h(2 ^ []), h(2 ^ [])) = h(2 ^ [])), op2(h(1 ^ []), h(1 ^ [])) = h(1 ^ []), sorti2(h(1 ^ [])), sorti2(h(2 ^ []))],extension(9,bind([[_11449, _11638], [h(1 ^ []), h(2 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1',plain,[-(op2(h(1 ^ []), h(1 ^ [])) = h(1 ^ [])), op2(h(1 ^ []), h(1 ^ [])) = h(op1(1 ^ [], 1 ^ [])), h(op1(1 ^ [], 1 ^ [])) = h(1 ^ [])],extension(5,bind([[_7074, _7130, _7185], [op2(h(1 ^ []), h(1 ^ [])), h(op1(1 ^ [], 1 ^ [])), h(1 ^ [])]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1.1',plain,[-(op2(h(1 ^ []), h(1 ^ [])) = h(op1(1 ^ [], 1 ^ []))), h(op1(1 ^ [], 1 ^ [])) = op2(h(1 ^ []), h(1 ^ []))],extension(4,bind([[_6795, _6840], [h(op1(1 ^ [], 1 ^ [])), op2(h(1 ^ []), h(1 ^ []))]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1.1.1',plain,[-(h(op1(1 ^ [], 1 ^ [])) = op2(h(1 ^ []), h(1 ^ []))), sorti1(1 ^ []), sorti1(1 ^ [])],extension(2,bind([[_12342, _12441], [1 ^ [], 1 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1.1.1.1',plain,[-(sorti1(1 ^ []))],extension(8)).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1.1.1.2',plain,[-(sorti1(1 ^ []))],extension(8)).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1.2',plain,[-(h(op1(1 ^ [], 1 ^ [])) = h(1 ^ [])), op1(1 ^ [], 1 ^ []) = 1 ^ []],extension(1,bind([[_8228, _8277], [op1(1 ^ [], 1 ^ []), 1 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.1.2.1',plain,[-(op1(1 ^ [], 1 ^ []) = 1 ^ [])],extension(13)).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.2',plain,[-(sorti2(h(1 ^ []))), sorti1(1 ^ [])],extension(7,bind([[_12021], [1 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.2.1',plain,[-(sorti1(1 ^ []))],extension(8)).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.3',plain,[-(sorti2(h(2 ^ []))), sorti1(2 ^ [])],extension(7,bind([[_12021], [2 ^ []]]))).
% 169.43/168.33 cnf('1.1.1.2.1.2.2.1.3.1',plain,[-(sorti1(2 ^ []))],extension(14)).
% 169.43/168.33 %-----------------------------------------------------
% 169.43/168.33
% 169.43/168.34 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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