TSTP Solution File: ALG029+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 17:21:33 EDT 2022
% Result : Theorem 0.59s 1.42s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.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
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 03:22:23 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.59/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/1.43
% 0.59/1.43 %-----------------------------------------------------
% 0.59/1.43 fof(co1, conjecture, ! [_25471] : (sorti1(_25471) => sorti2(h(_25471))) & ! [_25497] : (sorti2(_25497) => sorti1(j(_25497))) => ~ (! [_25525] : (sorti1(_25525) => ! [_25540] : (sorti1(_25540) => h(op1(_25525, _25540)) = op2(h(_25525), h(_25540)))) & ! [_25587] : (sorti2(_25587) => ! [_25602] : (sorti2(_25602) => j(op2(_25587, _25602)) = op1(j(_25587), j(_25602)))) & ! [_25649] : (sorti2(_25649) => h(j(_25649)) = _25649) & ! [_25678] : (sorti1(_25678) => j(h(_25678)) = _25678)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 0.59/1.43 fof(ax4, axiom, ~ ! [_26273] : (sorti2(_26273) => ! [_26288] : (sorti2(_26288) => op2(_26273, _26288) = op2(_26288, _26273))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax4)).
% 0.59/1.43 fof(ax3, axiom, ! [_26509] : (sorti1(_26509) => ! [_26524] : (sorti1(_26524) => op1(_26509, _26524) = op1(_26524, _26509))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)).
% 0.59/1.43
% 0.59/1.43 cnf(1, plain, [sorti2(_11846), -(sorti1(j(_11846)))], clausify(co1)).
% 0.59/1.43 cnf(2, plain, [sorti1(_12023), sorti1(_12122), -(h(op1(_12023, _12122)) = op2(h(_12023), h(_12122)))], clausify(co1)).
% 0.59/1.43 cnf(3, plain, [sorti2(_12857), -(h(j(_12857)) = _12857)], clausify(co1)).
% 0.59/1.43 cnf(4, plain, [-(sorti2(1 ^ []))], clausify(ax4)).
% 0.59/1.43 cnf(5, plain, [-(sorti2(2 ^ []))], clausify(ax4)).
% 0.59/1.43 cnf(6, plain, [op2(1 ^ [], 2 ^ []) = op2(2 ^ [], 1 ^ [])], clausify(ax4)).
% 0.59/1.43 cnf(7, plain, [sorti1(_10764), sorti1(_10857), -(op1(_10764, _10857) = op1(_10857, _10764))], clausify(ax3)).
% 0.59/1.43 cnf(8, plain, [_8057 = _8106, -(h(_8057) = h(_8106))], theory(equality)).
% 0.59/1.43 cnf(9, plain, [-(op2(_9329, _9462) = op2(_9396, _9527)), _9329 = _9396, _9462 = _9527], theory(equality)).
% 0.59/1.43 cnf(10, plain, [_6624 = _6669, -(_6669 = _6624)], theory(equality)).
% 0.59/1.43 cnf(11, plain, [-(_6903 = _7014), _6903 = _6959, _6959 = _7014], theory(equality)).
% 0.59/1.43
% 0.59/1.43 cnf('1',plain,[op2(1 ^ [], 2 ^ []) = op2(2 ^ [], 1 ^ [])],start(6)).
% 0.59/1.43 cnf('1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(2 ^ [], 1 ^ [])), op2(1 ^ [], 2 ^ []) = h(op1(j(1 ^ []), j(2 ^ []))), h(op1(j(1 ^ []), j(2 ^ []))) = op2(2 ^ [], 1 ^ [])],extension(11,bind([[_6903, _6959, _7014], [op2(1 ^ [], 2 ^ []), h(op1(j(1 ^ []), j(2 ^ []))), op2(2 ^ [], 1 ^ [])]]))).
% 0.59/1.43 cnf('1.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = h(op1(j(1 ^ []), j(2 ^ [])))), h(op1(j(1 ^ []), j(2 ^ []))) = op2(1 ^ [], 2 ^ [])],extension(10,bind([[_6624, _6669], [h(op1(j(1 ^ []), j(2 ^ []))), op2(1 ^ [], 2 ^ [])]]))).
% 0.59/1.43 cnf('1.1.1.1',plain,[-(h(op1(j(1 ^ []), j(2 ^ []))) = op2(1 ^ [], 2 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))) = op2(h(j(1 ^ [])), h(j(2 ^ []))), op2(h(j(1 ^ [])), h(j(2 ^ []))) = op2(1 ^ [], 2 ^ [])],extension(11,bind([[_6903, _6959, _7014], [h(op1(j(1 ^ []), j(2 ^ []))), op2(h(j(1 ^ [])), h(j(2 ^ []))), op2(1 ^ [], 2 ^ [])]]))).
% 0.59/1.43 cnf('1.1.1.1.1',plain,[-(h(op1(j(1 ^ []), j(2 ^ []))) = op2(h(j(1 ^ [])), h(j(2 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(2,bind([[_12023, _12122], [j(1 ^ []), j(2 ^ [])]]))).
% 0.59/1.43 cnf('1.1.1.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_11846], [1 ^ []]]))).
% 0.59/1.43 cnf('1.1.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.43 cnf('1.1.1.1.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(1,bind([[_11846], [2 ^ []]]))).
% 0.59/1.43 cnf('1.1.1.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(5)).
% 0.59/1.43 cnf('1.1.1.1.2',plain,[-(op2(h(j(1 ^ [])), h(j(2 ^ []))) = op2(1 ^ [], 2 ^ [])), h(j(1 ^ [])) = 1 ^ [], h(j(2 ^ [])) = 2 ^ []],extension(9,bind([[_9329, _9396, _9462, _9527], [h(j(1 ^ [])), 1 ^ [], h(j(2 ^ [])), 2 ^ []]]))).
% 0.59/1.43 cnf('1.1.1.1.2.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(3,bind([[_12857], [1 ^ []]]))).
% 0.59/1.43 cnf('1.1.1.1.2.1.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.43 cnf('1.1.1.1.2.2',plain,[-(h(j(2 ^ [])) = 2 ^ []), sorti2(2 ^ [])],extension(3,bind([[_12857], [2 ^ []]]))).
% 0.59/1.43 cnf('1.1.1.1.2.2.1',plain,[-(sorti2(2 ^ []))],extension(5)).
% 0.59/1.43 cnf('1.1.2',plain,[-(h(op1(j(1 ^ []), j(2 ^ []))) = op2(2 ^ [], 1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))) = h(op1(j(2 ^ []), j(1 ^ []))), h(op1(j(2 ^ []), j(1 ^ []))) = op2(2 ^ [], 1 ^ [])],extension(11,bind([[_6903, _6959, _7014], [h(op1(j(1 ^ []), j(2 ^ []))), h(op1(j(2 ^ []), j(1 ^ []))), op2(2 ^ [], 1 ^ [])]]))).
% 0.59/1.43 cnf('1.1.2.1',plain,[-(h(op1(j(1 ^ []), j(2 ^ []))) = h(op1(j(2 ^ []), j(1 ^ [])))), op1(j(1 ^ []), j(2 ^ [])) = op1(j(2 ^ []), j(1 ^ []))],extension(8,bind([[_8057, _8106], [op1(j(1 ^ []), j(2 ^ [])), op1(j(2 ^ []), j(1 ^ []))]]))).
% 0.59/1.43 cnf('1.1.2.1.1',plain,[-(op1(j(1 ^ []), j(2 ^ [])) = op1(j(2 ^ []), j(1 ^ []))), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(7,bind([[_10764, _10857], [j(1 ^ []), j(2 ^ [])]]))).
% 0.59/1.43 cnf('1.1.2.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_11846], [1 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.43 cnf('1.1.2.1.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(1,bind([[_11846], [2 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(5)).
% 0.59/1.43 cnf('1.1.2.2',plain,[-(h(op1(j(2 ^ []), j(1 ^ []))) = op2(2 ^ [], 1 ^ [])), h(op1(j(2 ^ []), j(1 ^ []))) = op2(h(j(2 ^ [])), h(j(1 ^ []))), op2(h(j(2 ^ [])), h(j(1 ^ []))) = op2(2 ^ [], 1 ^ [])],extension(11,bind([[_6903, _6959, _7014], [h(op1(j(2 ^ []), j(1 ^ []))), op2(h(j(2 ^ [])), h(j(1 ^ []))), op2(2 ^ [], 1 ^ [])]]))).
% 0.59/1.43 cnf('1.1.2.2.1',plain,[-(h(op1(j(2 ^ []), j(1 ^ []))) = op2(h(j(2 ^ [])), h(j(1 ^ [])))), sorti1(j(2 ^ [])), sorti1(j(1 ^ []))],extension(2,bind([[_12023, _12122], [j(2 ^ []), j(1 ^ [])]]))).
% 0.59/1.43 cnf('1.1.2.2.1.1',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(1,bind([[_11846], [2 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.2.1.1.1',plain,[-(sorti2(2 ^ []))],extension(5)).
% 0.59/1.43 cnf('1.1.2.2.1.2',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(1,bind([[_11846], [1 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.2.1.2.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.43 cnf('1.1.2.2.2',plain,[-(op2(h(j(2 ^ [])), h(j(1 ^ []))) = op2(2 ^ [], 1 ^ [])), h(j(2 ^ [])) = 2 ^ [], h(j(1 ^ [])) = 1 ^ []],extension(9,bind([[_9329, _9396, _9462, _9527], [h(j(2 ^ [])), 2 ^ [], h(j(1 ^ [])), 1 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.2.2.1',plain,[-(h(j(2 ^ [])) = 2 ^ []), sorti2(2 ^ [])],extension(3,bind([[_12857], [2 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.2.2.1.1',plain,[-(sorti2(2 ^ []))],extension(5)).
% 0.59/1.43 cnf('1.1.2.2.2.2',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(3,bind([[_12857], [1 ^ []]]))).
% 0.59/1.43 cnf('1.1.2.2.2.2.1',plain,[-(sorti2(1 ^ []))],extension(4)).
% 0.59/1.43 %-----------------------------------------------------
% 0.59/1.44
% 0.59/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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