%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG179+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 17:21:55 EDT 2022
% Result : Theorem 163.73s 166.89s
% Output : Proof 163.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG179+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.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 23:51:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 163.73/166.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.78/166.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.78/166.90
% 163.78/166.90 %-----------------------------------------------------
% 163.78/166.90 fof(co1, conjecture, ! [_45625] : (sorti1(_45625) => sorti2(h(_45625))) & ! [_45651] : (sorti2(_45651) => sorti1(j(_45651))) => ~ (! [_45679] : (sorti1(_45679) => ! [_45694] : (sorti1(_45694) => h(op1(_45679, _45694)) = op2(h(_45679), h(_45694)))) & ! [_45741] : (sorti2(_45741) => ! [_45756] : (sorti2(_45756) => j(op2(_45741, _45756)) = op1(j(_45741), j(_45756)))) & ! [_45803] : (sorti2(_45803) => h(j(_45803)) = _45803) & ! [_45832] : (sorti1(_45832) => j(h(_45832)) = _45832)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 163.78/166.90 fof(ax3, axiom, ! [_46423] : (sorti1(_46423) => ! [_46438] : (sorti1(_46438) => op1(op1(_46423, _46438), _46438) = _46423)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
% 163.78/166.90 fof(ax4, axiom, ~ ! [_46681] : (sorti2(_46681) => ! [_46696] : (sorti2(_46696) => op2(op2(_46681, _46696), _46696) = _46681)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax4)).
% 163.78/166.90 fof(ax1, axiom, ! [_46907] : (sorti1(_46907) => ! [_46922] : (sorti1(_46922) => sorti1(op1(_46907, _46922)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax1)).
% 163.78/166.90
% 163.78/166.90 cnf(1, plain, [-(_6886 = _6997), _6886 = _6942, _6942 = _6997], theory(equality)).
% 163.78/166.90 cnf(2, plain, [_8040 = _8089, -(h(_8040) = h(_8089))], theory(equality)).
% 163.78/166.90 cnf(3, plain, [sorti1(_12006), sorti1(_12105), -(h(op1(_12006, _12105)) = op2(h(_12006), h(_12105)))], clausify(co1)).
% 163.78/166.90 cnf(4, plain, [sorti2(_11829), -(sorti1(j(_11829)))], clausify(co1)).
% 163.78/166.90 cnf(5, plain, [_6607 = _6652, -(_6652 = _6607)], theory(equality)).
% 163.78/166.90 cnf(6, plain, [sorti1(_10747), sorti1(_10840), -(op1(op1(_10747, _10840), _10840) = _10747)], clausify(ax3)).
% 163.78/166.90 cnf(7, plain, [-(op2(_9312, _9445) = op2(_9379, _9510)), _9312 = _9379, _9445 = _9510], theory(equality)).
% 163.78/166.90 cnf(8, plain, [sorti2(_12840), -(h(j(_12840)) = _12840)], clausify(co1)).
% 163.78/166.90 cnf(9, plain, [_8369 = _8418, -(j(_8369) = j(_8418))], theory(equality)).
% 163.78/166.90 cnf(10, plain, [-(_6454 = _6454)], theory(equality)).
% 163.78/166.90 cnf(11, plain, [-(sorti2(2 ^ []))], clausify(ax4)).
% 163.78/166.90 cnf(12, plain, [op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = 1 ^ []], clausify(ax4)).
% 163.78/166.90 cnf(13, plain, [sorti1(_10017), sorti1(_10106), -(sorti1(op1(_10017, _10106)))], clausify(ax1)).
% 163.78/166.90 cnf(14, plain, [-(sorti2(1 ^ []))], clausify(ax4)).
% 163.78/166.90
% 163.78/166.90 cnf('1',plain,[op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = 1 ^ []],start(12)).
% 163.78/166.90 cnf('1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = 1 ^ []), op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = 1 ^ []],extension(1,bind([[_6886, _6942, _6997], [op2(op2(1 ^ [], 2 ^ []), 2 ^ []), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))), 1 ^ []]]))).
% 163.78/166.90 cnf('1.1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [op2(op2(1 ^ [], 2 ^ []), 2 ^ []), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [op2(op2(1 ^ [], 2 ^ []), 2 ^ []), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [op2(op2(1 ^ [], 2 ^ []), 2 ^ []), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [op2(op2(1 ^ [], 2 ^ []), 2 ^ []), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), 2 ^ []) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), 2 ^ [])],extension(5,bind([[_6607, _6652], [op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), 2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.1.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), 2 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []), h(j(2 ^ [])) = 2 ^ []],extension(7,bind([[_9312, _9379, _9445, _9510], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ []), h(j(2 ^ [])), 2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.1.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []))],extension(10,bind([[_6454], [op2(1 ^ [], 2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.1.1.2',plain,[-(h(j(2 ^ [])) = 2 ^ []), sorti2(2 ^ [])],extension(8,bind([[_12840], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 163.78/166.90 cnf('1.1.1.1.1.1.2',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.2.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []), h(j(2 ^ [])) = h(j(2 ^ []))],extension(7,bind([[_9312, _9379, _9445, _9510], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ []), h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.2.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []))],extension(10,bind([[_6454], [op2(1 ^ [], 2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.1.1.2.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ [])))],extension(10,bind([[_6454], [h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.2',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.2.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []), h(j(2 ^ [])) = h(j(2 ^ []))],extension(7,bind([[_9312, _9379, _9445, _9510], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ []), h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.1.1.1.2.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(5,bind([[_6607, _6652], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.1.2.1.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []))],extension(10,bind([[_6454], [op2(1 ^ [], 2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.1.2.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ []))), j(2 ^ []) = j(2 ^ [])],extension(2,bind([[_8040, _8089], [j(2 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.1.2.1.2.1',plain,[-(j(2 ^ []) = j(2 ^ []))],extension(10,bind([[_6454], [j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.2',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []), h(j(2 ^ [])) = h(j(2 ^ []))],extension(7,bind([[_9312, _9379, _9445, _9510], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ []), h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(5,bind([[_6607, _6652], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])), 1 ^ [] = 1 ^ [], 2 ^ [] = 2 ^ []],extension(7,bind([[_9312, _9379, _9445, _9510], [1 ^ [], 1 ^ [], 2 ^ [], 2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.1.1.1',plain,[-(1 ^ [] = 1 ^ [])],extension(10,bind([[_6454], [1 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.1.1.2',plain,[-(2 ^ [] = 2 ^ [])],extension(10,bind([[_6454], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ []))), j(2 ^ []) = j(2 ^ [])],extension(2,bind([[_8040, _8089], [j(2 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.2.1',plain,[-(j(2 ^ []) = j(2 ^ [])), j(2 ^ []) = j(2 ^ [])],extension(5,bind([[_6607, _6652], [j(2 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.1.2.1.2.1.1',plain,[-(j(2 ^ []) = j(2 ^ []))],extension(10,bind([[_6454], [j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.2',plain,[-(op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ []))) = op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))), op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.2.1',plain,[-(op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = op2(op2(1 ^ [], 2 ^ []), h(j(2 ^ [])))), op2(h(j(1 ^ [])), h(j(2 ^ []))) = op2(1 ^ [], 2 ^ []), h(j(2 ^ [])) = h(j(2 ^ []))],extension(7,bind([[_9312, _9379, _9445, _9510], [op2(h(j(1 ^ [])), h(j(2 ^ []))), op2(1 ^ [], 2 ^ []), h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1',plain,[-(op2(h(j(1 ^ [])), h(j(2 ^ []))) = op2(1 ^ [], 2 ^ [])), op2(1 ^ [], 2 ^ []) = op2(h(j(1 ^ [])), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op2(1 ^ [], 2 ^ []), op2(h(j(1 ^ [])), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(h(j(1 ^ [])), h(j(2 ^ [])))), 1 ^ [] = h(j(1 ^ [])), 2 ^ [] = h(j(2 ^ []))],extension(7,bind([[_9312, _9379, _9445, _9510], [1 ^ [], h(j(1 ^ [])), 2 ^ [], h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1.1.1',plain,[-(1 ^ [] = h(j(1 ^ []))), h(j(1 ^ [])) = 1 ^ []],extension(5,bind([[_6607, _6652], [h(j(1 ^ [])), 1 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1.1.1.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(8,bind([[_12840], [1 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 163.78/166.90 cnf('1.1.1.2.1.1.1.2',plain,[-(2 ^ [] = h(j(2 ^ []))), h(j(2 ^ [])) = 2 ^ []],extension(5,bind([[_6607, _6652], [h(j(2 ^ [])), 2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1.1.2.1',plain,[-(h(j(2 ^ [])) = 2 ^ []), sorti2(2 ^ [])],extension(8,bind([[_12840], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.2.1.1.1.2.1.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 163.78/166.90 cnf('1.1.1.2.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ []))), j(2 ^ []) = j(2 ^ [])],extension(2,bind([[_8040, _8089], [j(2 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.2.1.2.1',plain,[-(j(2 ^ []) = j(2 ^ [])), j(2 ^ []) = j(2 ^ [])],extension(5,bind([[_6607, _6652], [j(2 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.1.2.1.2.1.1',plain,[-(j(2 ^ []) = j(2 ^ [])), 2 ^ [] = 2 ^ []],extension(9,bind([[_8369, _8418], [2 ^ [], 2 ^ []]]))).
% 163.78/166.90 cnf('1.1.1.2.1.2.1.1.1',plain,[-(2 ^ [] = 2 ^ [])],extension(10,bind([[_6454], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.2',plain,[-(op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = 1 ^ []), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))) = 1 ^ []],extension(1,bind([[_6886, _6942, _6997], [op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), 1 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.1',plain,[-(op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.2.1.1',plain,[-(op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))), op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))), op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1',plain,[-(op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ []))) = op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ [])))), op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))) = op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))), op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1.1',plain,[-(op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))) = op2(op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])))), h(op1(j(1 ^ []), j(2 ^ []))) = op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])) = h(j(2 ^ []))],extension(7,bind([[_9312, _9379, _9445, _9510], [h(op1(j(1 ^ []), j(2 ^ []))), op2(h(j(1 ^ [])), h(j(2 ^ []))), h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.1',plain,[-(h(op1(j(1 ^ []), j(2 ^ []))) = op2(h(j(1 ^ [])), h(j(2 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(3,bind([[_12006, _12105], [j(1 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(4,bind([[_11829], [1 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ []))), j(2 ^ []) = j(2 ^ [])],extension(2,bind([[_8040, _8089], [j(2 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.1.1.1.1.2.1',plain,[-(j(2 ^ []) = j(2 ^ []))],extension(10,bind([[_6454], [j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2',plain,[-(op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))) = op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ [])))],extension(5,bind([[_6607, _6652], [h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2.1',plain,[-(h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))) = op2(h(op1(j(1 ^ []), j(2 ^ []))), h(j(2 ^ [])))), sorti1(op1(j(1 ^ []), j(2 ^ []))), sorti1(j(2 ^ []))],extension(3,bind([[_12006, _12105], [op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.1',plain,[-(sorti1(op1(j(1 ^ []), j(2 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(13,bind([[_10017, _10106], [j(1 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(4,bind([[_11829], [1 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.1.1.2.1.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 163.78/166.90 cnf('1.1.2.1.2',plain,[-(h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))), op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])) = op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))],extension(2,bind([[_8040, _8089], [op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])), op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.1.2.1',plain,[-(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])) = op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])) = op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))],extension(5,bind([[_6607, _6652], [op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])), op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.1.2.1.1',plain,[-(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])) = op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))],extension(10,bind([[_6454], [op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.2',plain,[-(h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))) = 1 ^ []), 1 ^ [] = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))],extension(5,bind([[_6607, _6652], [1 ^ [], h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.2.2.1',plain,[-(1 ^ [] = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))), 1 ^ [] = h(j(1 ^ [])), h(j(1 ^ [])) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))],extension(1,bind([[_6886, _6942, _6997], [1 ^ [], h(j(1 ^ [])), h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1',plain,[-(1 ^ [] = h(j(1 ^ []))), 1 ^ [] = h(j(1 ^ [])), h(j(1 ^ [])) = h(j(1 ^ []))],extension(1,bind([[_6886, _6942, _6997], [1 ^ [], h(j(1 ^ [])), h(j(1 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.1',plain,[-(1 ^ [] = h(j(1 ^ []))), 1 ^ [] = h(j(1 ^ [])), h(j(1 ^ [])) = h(j(1 ^ []))],extension(1,bind([[_6886, _6942, _6997], [1 ^ [], h(j(1 ^ [])), h(j(1 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.1.1',plain,[-(1 ^ [] = h(j(1 ^ []))), h(j(1 ^ [])) = 1 ^ []],extension(5,bind([[_6607, _6652], [h(j(1 ^ [])), 1 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.1.1.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(8,bind([[_12840], [1 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 163.78/166.90 cnf('1.1.2.2.1.1.1.2',plain,[-(h(j(1 ^ [])) = h(j(1 ^ []))), j(1 ^ []) = j(1 ^ [])],extension(2,bind([[_8040, _8089], [j(1 ^ []), j(1 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.1.2.1',plain,[-(j(1 ^ []) = j(1 ^ []))],extension(10,bind([[_6454], [j(1 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.2',plain,[-(h(j(1 ^ [])) = h(j(1 ^ []))), j(1 ^ []) = j(1 ^ [])],extension(2,bind([[_8040, _8089], [j(1 ^ []), j(1 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.2.1',plain,[-(j(1 ^ []) = j(1 ^ [])), j(1 ^ []) = j(1 ^ [])],extension(5,bind([[_6607, _6652], [j(1 ^ []), j(1 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.1.2.1.1',plain,[-(j(1 ^ []) = j(1 ^ []))],extension(10,bind([[_6454], [j(1 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.2',plain,[-(h(j(1 ^ [])) = h(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])))), j(1 ^ []) = op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))],extension(2,bind([[_8040, _8089], [j(1 ^ []), op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))]]))).
% 163.78/166.90 cnf('1.1.2.2.1.2.1',plain,[-(j(1 ^ []) = op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ []))), op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])) = j(1 ^ [])],extension(5,bind([[_6607, _6652], [op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])), j(1 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.2.1.1',plain,[-(op1(op1(j(1 ^ []), j(2 ^ [])), j(2 ^ [])) = j(1 ^ [])), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(6,bind([[_10747, _10840], [j(1 ^ []), j(2 ^ [])]]))).
% 163.78/166.90 cnf('1.1.2.2.1.2.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(4,bind([[_11829], [1 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.2.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 163.78/166.90 cnf('1.1.2.2.1.2.1.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 163.78/166.90 cnf('1.1.2.2.1.2.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 163.78/166.90 %-----------------------------------------------------
% 163.78/166.91
% 163.78/166.91 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------