TSTP Solution File: ALG070+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG070+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 17:21:38 EDT 2022
% Result : Theorem 14.98s 14.89s
% Output : Proof 15.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG070+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n018.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 22:02:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 14.98/14.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/14.90 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/14.90
% 15.05/14.90 %-----------------------------------------------------
% 15.05/14.90 fof(co1, conjecture, ! [_28094] : (sorti1(_28094) => sorti2(h(_28094))) & ! [_28120] : (sorti2(_28120) => sorti1(j(_28120))) => ~ (! [_28148] : (sorti1(_28148) => ! [_28163] : (sorti1(_28163) => h(op1(_28148, _28163)) = op2(h(_28148), h(_28163)))) & ! [_28210] : (sorti2(_28210) => ! [_28225] : (sorti2(_28225) => j(op2(_28210, _28225)) = op1(j(_28210), j(_28225)))) & ! [_28272] : (sorti2(_28272) => h(j(_28272)) = _28272) & ! [_28301] : (sorti1(_28301) => j(h(_28301)) = _28301)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 15.05/14.90 fof(ax1, axiom, ! [_28902] : (sorti1(_28902) => ! [_28917] : (sorti1(_28917) => sorti1(op1(_28902, _28917)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax1)).
% 15.05/14.90 fof(ax2, axiom, ! [_29090] : (sorti2(_29090) => ! [_29105] : (sorti2(_29105) => sorti2(op2(_29090, _29105)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax2)).
% 15.05/14.90 fof(ax4, axiom, ~ ! [_29280] : (sorti2(_29280) => ! [_29295] : (sorti2(_29295) => (! op2(_29280, _29280)) = _29295 | op2(_29280, _29295) = _29280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax4)).
% 15.05/14.90 fof(ax3, axiom, ! [_29548] : (sorti1(_29548) => ! [_29563] : (sorti1(_29563) => (! op1(_29548, _29548)) = _29563 | op1(_29548, _29563) = _29548)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)).
% 15.05/14.90
% 15.05/14.90 cnf(1, plain, [sorti2(_12246), -(sorti1(j(_12246)))], clausify(co1)).
% 15.05/14.90 cnf(2, plain, [sorti1(_12423), sorti1(_12522), -(h(op1(_12423, _12522)) = op2(h(_12423), h(_12522)))], clausify(co1)).
% 15.05/14.90 cnf(3, plain, [sorti2(_12840), sorti2(_12939), -(j(op2(_12840, _12939)) = op1(j(_12840), j(_12939)))], clausify(co1)).
% 15.05/14.90 cnf(4, plain, [sorti2(_13257), -(h(j(_13257)) = _13257)], clausify(co1)).
% 15.05/14.90 cnf(5, plain, [sorti1(_10222), sorti1(_10311), -(sorti1(op1(_10222, _10311)))], clausify(ax1)).
% 15.05/14.90 cnf(6, plain, [sorti2(_10587), sorti2(_10676), -(sorti2(op2(_10587, _10676)))], clausify(ax2)).
% 15.05/14.90 cnf(7, plain, [-(sorti2(1 ^ []))], clausify(ax4)).
% 15.05/14.90 cnf(8, plain, [-(op2(1 ^ [], 1 ^ []) = 2 ^ [])], clausify(ax4)).
% 15.05/14.90 cnf(9, plain, [op2(1 ^ [], 2 ^ []) = 1 ^ []], clausify(ax4)).
% 15.05/14.90 cnf(10, plain, [sorti1(_10952), sorti1(_11053), op1(_10952, _10952) = _11053, -(op1(_10952, _11053) = _10952)], clausify(ax3)).
% 15.05/14.90 cnf(11, plain, [_8245 = _8294, -(h(_8245) = h(_8294))], theory(equality)).
% 15.05/14.90 cnf(12, plain, [-(op2(_9517, _9650) = op2(_9584, _9715)), _9517 = _9584, _9650 = _9715], theory(equality)).
% 15.05/14.90 cnf(13, plain, [-(_6659 = _6659)], theory(equality)).
% 15.05/14.90 cnf(14, plain, [_6812 = _6857, -(_6857 = _6812)], theory(equality)).
% 15.05/14.90 cnf(15, plain, [-(_7091 = _7202), _7091 = _7147, _7147 = _7202], theory(equality)).
% 15.05/14.90
% 15.05/14.90 cnf('1',plain,[op2(1 ^ [], 2 ^ []) = 1 ^ []],start(9)).
% 15.05/14.90 cnf('1.1',plain,[-(op2(1 ^ [], 2 ^ []) = 1 ^ []), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))), op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))) = 1 ^ []],extension(15,bind([[_7091, _7147, _7202], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))), 1 ^ []]]))).
% 15.05/14.90 cnf('1.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ []))))), 1 ^ [] = 1 ^ [], 2 ^ [] = h(j(op2(1 ^ [], 1 ^ [])))],extension(12,bind([[_9517, _9584, _9650, _9715], [1 ^ [], 1 ^ [], 2 ^ [], h(j(op2(1 ^ [], 1 ^ [])))]]))).
% 15.05/14.90 cnf('1.1.1.1',plain,[-(1 ^ [] = 1 ^ [])],extension(13,bind([[_6659], [1 ^ []]]))).
% 15.05/14.90 cnf('1.1.1.2',plain,[-(2 ^ [] = h(j(op2(1 ^ [], 1 ^ [])))), h(j(op2(1 ^ [], 1 ^ []))) = 2 ^ []],extension(14,bind([[_6812, _6857], [h(j(op2(1 ^ [], 1 ^ []))), 2 ^ []]]))).
% 15.05/14.90 cnf('1.1.1.2.1',plain,[-(h(j(op2(1 ^ [], 1 ^ []))) = 2 ^ []), h(j(op2(1 ^ [], 1 ^ []))) = op2(1 ^ [], 1 ^ []), op2(1 ^ [], 1 ^ []) = 2 ^ []],extension(15,bind([[_7091, _7147, _7202], [h(j(op2(1 ^ [], 1 ^ []))), op2(1 ^ [], 1 ^ []), 2 ^ []]]))).
% 15.05/14.90 cnf('1.1.1.2.1.1',plain,[-(h(j(op2(1 ^ [], 1 ^ []))) = op2(1 ^ [], 1 ^ [])), sorti2(op2(1 ^ [], 1 ^ []))],extension(4,bind([[_13257], [op2(1 ^ [], 1 ^ [])]]))).
% 15.05/14.90 cnf('1.1.1.2.1.1.1',plain,[-(sorti2(op2(1 ^ [], 1 ^ []))), sorti2(1 ^ []), sorti2(1 ^ [])],extension(6,bind([[_10587, _10676], [1 ^ [], 1 ^ []]]))).
% 15.05/14.90 cnf('1.1.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.1.2.1.1.1.2',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.1.2.1.2',plain,[-(op2(1 ^ [], 1 ^ []) = 2 ^ [])],extension(8)).
% 15.05/14.90 cnf('1.1.2',plain,[-(op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))) = 1 ^ []), op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))) = 1 ^ []],extension(15,bind([[_7091, _7147, _7202], [op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))), 1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.1',plain,[-(op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))))), op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ [])))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))))],extension(15,bind([[_7091, _7147, _7202], [op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))))]]))).
% 15.05/14.90 cnf('1.1.2.1.1',plain,[-(op2(1 ^ [], h(j(op2(1 ^ [], 1 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ []))))), 1 ^ [] = h(j(1 ^ [])), h(j(op2(1 ^ [], 1 ^ []))) = h(op1(j(1 ^ []), j(1 ^ [])))],extension(12,bind([[_9517, _9584, _9650, _9715], [1 ^ [], h(j(1 ^ [])), h(j(op2(1 ^ [], 1 ^ []))), h(op1(j(1 ^ []), j(1 ^ [])))]]))).
% 15.05/14.90 cnf('1.1.2.1.1.1',plain,[-(1 ^ [] = h(j(1 ^ []))), h(j(1 ^ [])) = 1 ^ []],extension(14,bind([[_6812, _6857], [h(j(1 ^ [])), 1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.1.1.1.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(4,bind([[_13257], [1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.2.1.1.2',plain,[-(h(j(op2(1 ^ [], 1 ^ []))) = h(op1(j(1 ^ []), j(1 ^ [])))), j(op2(1 ^ [], 1 ^ [])) = op1(j(1 ^ []), j(1 ^ []))],extension(11,bind([[_8245, _8294], [j(op2(1 ^ [], 1 ^ [])), op1(j(1 ^ []), j(1 ^ []))]]))).
% 15.05/14.90 cnf('1.1.2.1.1.2.1',plain,[-(j(op2(1 ^ [], 1 ^ [])) = op1(j(1 ^ []), j(1 ^ []))), sorti2(1 ^ []), sorti2(1 ^ [])],extension(3,bind([[_12840, _12939], [1 ^ [], 1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.1.1.2.1.1',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.2.1.1.2.1.2',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.2.1.2',plain,[-(op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ []))))],extension(14,bind([[_6812, _6857], [h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ []))))]]))).
% 15.05/14.90 cnf('1.1.2.1.2.1',plain,[-(h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(1 ^ []))))), sorti1(j(1 ^ [])), sorti1(op1(j(1 ^ []), j(1 ^ [])))],extension(2,bind([[_12423, _12522], [j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))]]))).
% 15.05/14.90 cnf('1.1.2.1.2.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_12246], [1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.1.2.1.1.1',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.2.1.2.1.2',plain,[-(sorti1(op1(j(1 ^ []), j(1 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(1 ^ []))],extension(5,bind([[_10222, _10311], [j(1 ^ []), j(1 ^ [])]]))).
% 15.05/14.90 cnf('1.1.2.1.2.1.2.1',plain,[-(sorti1(j(1 ^ [])))],lemmata('1.1.2.1.2.1')).
% 15.05/14.90 cnf('1.1.2.1.2.1.2.2',plain,[-(sorti1(j(1 ^ [])))],lemmata('1.1.2.1.2.1.2')).
% 15.05/14.90 cnf('1.1.2.2',plain,[-(h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))) = 1 ^ []), h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))) = h(j(1 ^ [])), h(j(1 ^ [])) = 1 ^ []],extension(15,bind([[_7091, _7147, _7202], [h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))), h(j(1 ^ [])), 1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.2.1',plain,[-(h(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ [])))) = h(j(1 ^ []))), op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))) = j(1 ^ [])],extension(11,bind([[_8245, _8294], [op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))), j(1 ^ [])]]))).
% 15.05/14.90 cnf('1.1.2.2.1.1',plain,[-(op1(j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))) = j(1 ^ [])), sorti1(j(1 ^ [])), sorti1(op1(j(1 ^ []), j(1 ^ []))), op1(j(1 ^ []), j(1 ^ [])) = op1(j(1 ^ []), j(1 ^ []))],extension(10,bind([[_10952, _11053], [j(1 ^ []), op1(j(1 ^ []), j(1 ^ []))]]))).
% 15.05/14.90 cnf('1.1.2.2.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_12246], [1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 cnf('1.1.2.2.1.1.2',plain,[-(sorti1(op1(j(1 ^ []), j(1 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(1 ^ []))],extension(5,bind([[_10222, _10311], [j(1 ^ []), j(1 ^ [])]]))).
% 15.05/14.90 cnf('1.1.2.2.1.1.2.1',plain,[-(sorti1(j(1 ^ [])))],lemmata('1.1.2.2.1.1')).
% 15.05/14.90 cnf('1.1.2.2.1.1.2.2',plain,[-(sorti1(j(1 ^ [])))],lemmata('1.1.2.2.1.1.2')).
% 15.05/14.90 cnf('1.1.2.2.1.1.3',plain,[-(op1(j(1 ^ []), j(1 ^ [])) = op1(j(1 ^ []), j(1 ^ [])))],extension(13,bind([[_6659], [op1(j(1 ^ []), j(1 ^ []))]]))).
% 15.05/14.90 cnf('1.1.2.2.2',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(4,bind([[_13257], [1 ^ []]]))).
% 15.05/14.90 cnf('1.1.2.2.2.1',plain,[-(sorti2(1 ^ []))],extension(7)).
% 15.05/14.90 %-----------------------------------------------------
% 15.05/14.91
% 15.05/14.91 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------