TSTP Solution File: ALG202+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG202+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 17:21:58 EDT 2022
% Result : Theorem 0.59s 1.41s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG202+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n024.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 : Wed Jun 8 10:55:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/1.42
% 0.59/1.42 %-----------------------------------------------------
% 0.59/1.42 fof(co1, conjecture, ! [_21144] : (sorti1(_21144) => sorti2(h(_21144))) & ! [_21170] : (sorti2(_21170) => sorti1(j(_21170))) => ~ (! [_21198] : (sorti1(_21198) => ! [_21213] : (sorti1(_21213) => h(op1(_21198, _21213)) = op2(h(_21198), h(_21213)))) & ! [_21260] : (sorti2(_21260) => ! [_21275] : (sorti2(_21275) => j(op2(_21260, _21275)) = op1(j(_21260), j(_21275)))) & ! [_21322] : (sorti2(_21322) => h(j(_21322)) = _21322) & ! [_21351] : (sorti1(_21351) => j(h(_21351)) = _21351)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 0.59/1.42 fof(ax4, axiom, ~ ! [_21945] : (sorti2(_21945) => op2(_21945, _21945) = _21945), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax4)).
% 0.59/1.42 fof(ax3, axiom, ! [_22102] : (sorti1(_22102) => op1(_22102, _22102) = _22102), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)).
% 0.59/1.42
% 0.59/1.42 cnf(1, plain, [sorti2(_11226), -(sorti1(j(_11226)))], clausify(co1)).
% 0.59/1.42 cnf(2, plain, [sorti1(_11403), sorti1(_11502), -(h(op1(_11403, _11502)) = op2(h(_11403), h(_11502)))], clausify(co1)).
% 0.59/1.42 cnf(3, plain, [sorti2(_12237), -(h(j(_12237)) = _12237)], clausify(co1)).
% 0.59/1.42 cnf(4, plain, [-(sorti2(1 ^ []))], clausify(ax4)).
% 0.59/1.42 cnf(5, plain, [op2(1 ^ [], 1 ^ []) = 1 ^ []], clausify(ax4)).
% 0.59/1.42 cnf(6, plain, [sorti1(_10462), -(op1(_10462, _10462) = _10462)], clausify(ax3)).
% 0.59/1.42 cnf(7, plain, [_7755 = _7804, -(h(_7755) = h(_7804))], theory(equality)).
% 0.59/1.42 cnf(8, plain, [-(op2(_9027, _9160) = op2(_9094, _9225)), _9027 = _9094, _9160 = _9225], theory(equality)).
% 0.59/1.42 cnf(9, plain, [_6322 = _6367, -(_6367 = _6322)], theory(equality)).
% 0.59/1.42 cnf(10, plain, [-(_6601 = _6712), _6601 = _6657, _6657 = _6712], theory(equality)).
% 0.59/1.42
% 0.59/1.42 cnf('1',plain,[op2(1 ^ [], 1 ^ []) = 1 ^ []],start(5)).
% 0.59/1.42 cnf('1.1',plain,[-(op2(1 ^ [], 1 ^ []) = 1 ^ []), op2(1 ^ [], 1 ^ []) = h(op1(j(1 ^ []), j(1 ^ []))), h(op1(j(1 ^ []), j(1 ^ []))) = 1 ^ []],extension(10,bind([[_6601, _6657, _6712], [op2(1 ^ [], 1 ^ []), h(op1(j(1 ^ []), j(1 ^ []))), 1 ^ []]]))).
% 0.59/1.42 cnf('1.1.1',plain,[-(op2(1 ^ [], 1 ^ []) = h(op1(j(1 ^ []), j(1 ^ [])))), h(op1(j(1 ^ []), j(1 ^ []))) = op2(1 ^ [], 1 ^ [])],extension(9,bind([[_6322, _6367], [h(op1(j(1 ^ []), j(1 ^ []))), op2(1 ^ [], 1 ^ [])]]))).
% 0.59/1.42 cnf('1.1.1.1',plain,[-(h(op1(j(1 ^ []), j(1 ^ []))) = op2(1 ^ [], 1 ^ [])), h(op1(j(1 ^ []), j(1 ^ []))) = op2(h(j(1 ^ [])), h(j(1 ^ []))), op2(h(j(1 ^ [])), h(j(1 ^ []))) = op2(1 ^ [], 1 ^ [])],extension(10,bind([[_6601, _6657, _6712], [h(op1(j(1 ^ []), j(1 ^ []))), op2(h(j(1 ^ [])), h(j(1 ^ []))), op2(1 ^ [], 1 ^ [])]]))).
% 0.59/1.42 cnf('1.1.1.1.1',plain,[-(h(op1(j(1 ^ []), j(1 ^ []))) = op2(h(j(1 ^ [])), h(j(1 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(1 ^ []))],extension(2,bind([[_11403, _11502], [j(1 ^ []), j(1 ^ [])]]))).
% 0.59/1.42 cnf('1.1.1.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_11226], [1 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.42 cnf('1.1.1.1.1.2',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_11226], [1 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.1.1.2.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.42 cnf('1.1.1.1.2',plain,[-(op2(h(j(1 ^ [])), h(j(1 ^ []))) = op2(1 ^ [], 1 ^ [])), h(j(1 ^ [])) = 1 ^ [], h(j(1 ^ [])) = 1 ^ []],extension(8,bind([[_9027, _9094, _9160, _9225], [h(j(1 ^ [])), 1 ^ [], h(j(1 ^ [])), 1 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.1.2.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(3,bind([[_12237], [1 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.1.2.1.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.42 cnf('1.1.1.1.2.2',plain,[-(h(j(1 ^ [])) = 1 ^ [])],lemmata('1.1.1.1.2')).
% 0.59/1.42 cnf('1.1.2',plain,[-(h(op1(j(1 ^ []), j(1 ^ []))) = 1 ^ []), h(op1(j(1 ^ []), j(1 ^ []))) = h(j(1 ^ [])), h(j(1 ^ [])) = 1 ^ []],extension(10,bind([[_6601, _6657, _6712], [h(op1(j(1 ^ []), j(1 ^ []))), h(j(1 ^ [])), 1 ^ []]]))).
% 0.59/1.42 cnf('1.1.2.1',plain,[-(h(op1(j(1 ^ []), j(1 ^ []))) = h(j(1 ^ []))), op1(j(1 ^ []), j(1 ^ [])) = j(1 ^ [])],extension(7,bind([[_7755, _7804], [op1(j(1 ^ []), j(1 ^ [])), j(1 ^ [])]]))).
% 0.59/1.42 cnf('1.1.2.1.1',plain,[-(op1(j(1 ^ []), j(1 ^ [])) = j(1 ^ [])), sorti1(j(1 ^ []))],extension(6,bind([[_10462], [j(1 ^ [])]]))).
% 0.59/1.42 cnf('1.1.2.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_11226], [1 ^ []]]))).
% 0.59/1.42 cnf('1.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.42 cnf('1.1.2.2',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(3,bind([[_12237], [1 ^ []]]))).
% 0.59/1.42 cnf('1.1.2.2.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.42 %-----------------------------------------------------
% 0.59/1.42
% 0.59/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------