TSTP Solution File: ALG178+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 162.94s 166.62s
% Output : Proof 162.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10 % Command : leancop_casc.sh %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 8 14:23:36 EDT 2022
% 0.10/0.30 % CPUTime :
% 162.94/166.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 162.94/166.63 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 162.94/166.63
% 162.94/166.63 %-----------------------------------------------------
% 162.94/166.63 fof(co1, conjecture, ! [_45374] : (sorti1(_45374) => sorti2(h(_45374))) & ! [_45400] : (sorti2(_45400) => sorti1(j(_45400))) => ~ (! [_45428] : (sorti1(_45428) => ! [_45443] : (sorti1(_45443) => h(op1(_45428, _45443)) = op2(h(_45428), h(_45443)))) & ! [_45490] : (sorti2(_45490) => ! [_45505] : (sorti2(_45505) => j(op2(_45490, _45505)) = op1(j(_45490), j(_45505)))) & ! [_45552] : (sorti2(_45552) => h(j(_45552)) = _45552) & ! [_45581] : (sorti1(_45581) => j(h(_45581)) = _45581)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 162.94/166.63 fof(ax3, axiom, ! [_46172] : (sorti1(_46172) => ! [_46187] : (sorti1(_46187) => op1(_46172, op1(_46172, _46187)) = _46187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
% 162.94/166.63 fof(ax4, axiom, ~ ! [_46430] : (sorti2(_46430) => ! [_46445] : (sorti2(_46445) => op2(_46430, op2(_46430, _46445)) = _46445)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax4)).
% 162.94/166.63 fof(ax1, axiom, ! [_46656] : (sorti1(_46656) => ! [_46671] : (sorti1(_46671) => sorti1(op1(_46656, _46671)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax1)).
% 162.94/166.63
% 162.94/166.63 cnf(1, plain, [-(_6886 = _6997), _6886 = _6942, _6942 = _6997], theory(equality)).
% 162.94/166.63 cnf(2, plain, [_8040 = _8089, -(h(_8040) = h(_8089))], theory(equality)).
% 162.94/166.63 cnf(3, plain, [sorti1(_12006), sorti1(_12105), -(h(op1(_12006, _12105)) = op2(h(_12006), h(_12105)))], clausify(co1)).
% 162.94/166.63 cnf(4, plain, [sorti2(_11829), -(sorti1(j(_11829)))], clausify(co1)).
% 162.94/166.63 cnf(5, plain, [_6607 = _6652, -(_6652 = _6607)], theory(equality)).
% 162.94/166.63 cnf(6, plain, [sorti1(_10747), sorti1(_10840), -(op1(_10747, op1(_10747, _10840)) = _10840)], clausify(ax3)).
% 162.94/166.63 cnf(7, plain, [-(op2(_9312, _9445) = op2(_9379, _9510)), _9312 = _9379, _9445 = _9510], theory(equality)).
% 162.94/166.63 cnf(8, plain, [sorti2(_12840), -(h(j(_12840)) = _12840)], clausify(co1)).
% 162.94/166.63 cnf(9, plain, [_8369 = _8418, -(j(_8369) = j(_8418))], theory(equality)).
% 162.94/166.63 cnf(10, plain, [-(_6454 = _6454)], theory(equality)).
% 162.94/166.63 cnf(11, plain, [-(sorti2(2 ^ []))], clausify(ax4)).
% 162.94/166.63 cnf(12, plain, [op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = 2 ^ []], clausify(ax4)).
% 162.94/166.63 cnf(13, plain, [sorti1(_10017), sorti1(_10106), -(sorti1(op1(_10017, _10106)))], clausify(ax1)).
% 162.94/166.63 cnf(14, plain, [-(sorti2(1 ^ []))], clausify(ax4)).
% 162.94/166.63
% 162.94/166.63 cnf('1',plain,[op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = 2 ^ []],start(12)).
% 162.94/166.63 cnf('1.1',plain,[-(op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = 2 ^ []), op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = 2 ^ []],extension(1,bind([[_6886, _6942, _6997], [op2(1 ^ [], op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))), 2 ^ []]]))).
% 162.94/166.63 cnf('1.1.1',plain,[-(op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))), op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))],extension(1,bind([[_6886, _6942, _6997], [op2(1 ^ [], op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.1.1',plain,[-(op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(1,bind([[_6886, _6942, _6997], [op2(1 ^ [], op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1',plain,[-(op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(1,bind([[_6886, _6942, _6997], [op2(1 ^ [], op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1',plain,[-(op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(1,bind([[_6886, _6942, _6997], [op2(1 ^ [], op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.1',plain,[-(op2(1 ^ [], op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(1 ^ [], op2(1 ^ [], 2 ^ []))],extension(5,bind([[_6607, _6652], [op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(1 ^ [], op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.1.1',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(1 ^ [], op2(1 ^ [], 2 ^ []))), h(j(1 ^ [])) = 1 ^ [], op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(7,bind([[_9312, _9379, _9445, _9510], [h(j(1 ^ [])), 1 ^ [], op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.1.1.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(8,bind([[_12840], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 162.94/166.63 cnf('1.1.1.1.1.1.1.1.2',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []))],extension(10,bind([[_6454], [op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.2',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(5,bind([[_6607, _6652], [op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.2.1',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), h(j(1 ^ [])) = h(j(1 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(7,bind([[_9312, _9379, _9445, _9510], [h(j(1 ^ [])), h(j(1 ^ [])), op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.2.1.1',plain,[-(h(j(1 ^ [])) = h(j(1 ^ [])))],extension(10,bind([[_6454], [h(j(1 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1.1.2.1.2',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []))],extension(10,bind([[_6454], [op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.2',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(5,bind([[_6607, _6652], [op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.1.2.1',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), h(j(1 ^ [])) = h(j(1 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(7,bind([[_9312, _9379, _9445, _9510], [h(j(1 ^ [])), h(j(1 ^ [])), op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.2.1.1',plain,[-(h(j(1 ^ [])) = h(j(1 ^ []))), j(1 ^ []) = j(1 ^ [])],extension(2,bind([[_8040, _8089], [j(1 ^ []), j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.2.1.1.1',plain,[-(j(1 ^ []) = j(1 ^ []))],extension(10,bind([[_6454], [j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.2.1.2',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(5,bind([[_6607, _6652], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.1.2.1.2.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ []))],extension(10,bind([[_6454], [op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.2',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(5,bind([[_6607, _6652], [op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), h(j(1 ^ [])) = h(j(1 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(7,bind([[_9312, _9379, _9445, _9510], [h(j(1 ^ [])), h(j(1 ^ [])), op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.1',plain,[-(h(j(1 ^ [])) = h(j(1 ^ []))), j(1 ^ []) = j(1 ^ [])],extension(2,bind([[_8040, _8089], [j(1 ^ []), j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.1.1',plain,[-(j(1 ^ []) = j(1 ^ [])), j(1 ^ []) = j(1 ^ [])],extension(5,bind([[_6607, _6652], [j(1 ^ []), j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.1.1.1',plain,[-(j(1 ^ []) = j(1 ^ []))],extension(10,bind([[_6454], [j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.2',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])), op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])],extension(5,bind([[_6607, _6652], [op2(1 ^ [], 2 ^ []), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.2.1',plain,[-(op2(1 ^ [], 2 ^ []) = op2(1 ^ [], 2 ^ [])), 1 ^ [] = 1 ^ [], 2 ^ [] = 2 ^ []],extension(7,bind([[_9312, _9379, _9445, _9510], [1 ^ [], 1 ^ [], 2 ^ [], 2 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.2.1.1',plain,[-(1 ^ [] = 1 ^ [])],extension(10,bind([[_6454], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.1.2.1.2.1.2',plain,[-(2 ^ [] = 2 ^ [])],extension(10,bind([[_6454], [2 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2',plain,[-(op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ [])) = op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))],extension(5,bind([[_6607, _6652], [op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))), op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.2.1',plain,[-(op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = op2(h(j(1 ^ [])), op2(1 ^ [], 2 ^ []))), h(j(1 ^ [])) = h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))) = op2(1 ^ [], 2 ^ [])],extension(7,bind([[_9312, _9379, _9445, _9510], [h(j(1 ^ [])), h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))), op2(1 ^ [], 2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.2.1.1',plain,[-(h(j(1 ^ [])) = h(j(1 ^ []))), j(1 ^ []) = j(1 ^ [])],extension(2,bind([[_8040, _8089], [j(1 ^ []), j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.2.1.1.1',plain,[-(j(1 ^ []) = j(1 ^ [])), j(1 ^ []) = j(1 ^ [])],extension(5,bind([[_6607, _6652], [j(1 ^ []), j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.1.2.1.1.1.1',plain,[-(j(1 ^ []) = j(1 ^ [])), 1 ^ [] = 1 ^ []],extension(9,bind([[_8369, _8418], [1 ^ [], 1 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2.1.1.1.1.1',plain,[-(1 ^ [] = 1 ^ [])],extension(10,bind([[_6454], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2',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 ^ [])))]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2.1',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 ^ []))]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2.1.1',plain,[-(1 ^ [] = h(j(1 ^ []))), h(j(1 ^ [])) = 1 ^ []],extension(5,bind([[_6607, _6652], [h(j(1 ^ [])), 1 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2.1.1.1',plain,[-(h(j(1 ^ [])) = 1 ^ []), sorti2(1 ^ [])],extension(8,bind([[_12840], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 162.94/166.63 cnf('1.1.1.2.1.2.1.2',plain,[-(2 ^ [] = h(j(2 ^ []))), h(j(2 ^ [])) = 2 ^ []],extension(5,bind([[_6607, _6652], [h(j(2 ^ [])), 2 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2.1.2.1',plain,[-(h(j(2 ^ [])) = 2 ^ []), sorti2(2 ^ [])],extension(8,bind([[_12840], [2 ^ []]]))).
% 162.94/166.63 cnf('1.1.1.2.1.2.1.2.1.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 162.94/166.63 cnf('1.1.2',plain,[-(op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = 2 ^ []), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))) = 2 ^ []],extension(1,bind([[_6886, _6942, _6997], [op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), 2 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.1',plain,[-(op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))],extension(1,bind([[_6886, _6942, _6997], [op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.2.1.1',plain,[-(op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))],extension(1,bind([[_6886, _6942, _6997], [op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1',plain,[-(op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))) = op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))],extension(5,bind([[_6607, _6652], [op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))), op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1',plain,[-(op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))) = op2(h(j(1 ^ [])), op2(h(j(1 ^ [])), h(j(2 ^ []))))), h(j(1 ^ [])) = h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))) = op2(h(j(1 ^ [])), h(j(2 ^ [])))],extension(7,bind([[_9312, _9379, _9445, _9510], [h(j(1 ^ [])), h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))), op2(h(j(1 ^ [])), h(j(2 ^ [])))]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.1',plain,[-(h(j(1 ^ [])) = h(j(1 ^ []))), j(1 ^ []) = j(1 ^ [])],extension(2,bind([[_8040, _8089], [j(1 ^ []), j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.1.1',plain,[-(j(1 ^ []) = j(1 ^ []))],extension(10,bind([[_6454], [j(1 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.2',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 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.2.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(4,bind([[_11829], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.2.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.2.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.1.1.1.1.2.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 162.94/166.63 cnf('1.1.2.1.1.2',plain,[-(op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))))],extension(5,bind([[_6607, _6652], [h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.2.1.1.2.1',plain,[-(h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))) = op2(h(j(1 ^ [])), h(op1(j(1 ^ []), j(2 ^ []))))), sorti1(j(1 ^ [])), sorti1(op1(j(1 ^ []), j(2 ^ [])))],extension(3,bind([[_12006, _12105], [j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.2.1.1.2.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(4,bind([[_11829], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.1.1.2.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 162.94/166.63 cnf('1.1.2.1.1.2.1.2',plain,[-(sorti1(op1(j(1 ^ []), j(2 ^ [])))), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(13,bind([[_10017, _10106], [j(1 ^ []), j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.1.1.2.1.2.1',plain,[-(sorti1(j(1 ^ [])))],lemmata('1.1.2.1.1.2.1')).
% 162.94/166.63 cnf('1.1.2.1.1.2.1.2.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.1.1.2.1.2.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 162.94/166.63 cnf('1.1.2.1.2',plain,[-(h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))), op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))) = op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))],extension(2,bind([[_8040, _8089], [op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))), op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))]]))).
% 162.94/166.63 cnf('1.1.2.1.2.1',plain,[-(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))) = op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))) = op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))],extension(5,bind([[_6607, _6652], [op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))), op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))]]))).
% 162.94/166.63 cnf('1.1.2.1.2.1.1',plain,[-(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))) = op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))],extension(10,bind([[_6454], [op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))]]))).
% 162.94/166.63 cnf('1.1.2.2',plain,[-(h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))) = 2 ^ []), 2 ^ [] = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))],extension(5,bind([[_6607, _6652], [2 ^ [], h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.2.2.1',plain,[-(2 ^ [] = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))), 2 ^ [] = h(j(2 ^ [])), h(j(2 ^ [])) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))],extension(1,bind([[_6886, _6942, _6997], [2 ^ [], h(j(2 ^ [])), h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1',plain,[-(2 ^ [] = h(j(2 ^ []))), 2 ^ [] = h(j(2 ^ [])), h(j(2 ^ [])) = h(j(2 ^ []))],extension(1,bind([[_6886, _6942, _6997], [2 ^ [], h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.1',plain,[-(2 ^ [] = h(j(2 ^ []))), 2 ^ [] = h(j(2 ^ [])), h(j(2 ^ [])) = h(j(2 ^ []))],extension(1,bind([[_6886, _6942, _6997], [2 ^ [], h(j(2 ^ [])), h(j(2 ^ []))]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.1.1',plain,[-(2 ^ [] = h(j(2 ^ []))), h(j(2 ^ [])) = 2 ^ []],extension(5,bind([[_6607, _6652], [h(j(2 ^ [])), 2 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.1.1.1',plain,[-(h(j(2 ^ [])) = 2 ^ []), sorti2(2 ^ [])],extension(8,bind([[_12840], [2 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.1.1.1.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 162.94/166.63 cnf('1.1.2.2.1.1.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ []))), j(2 ^ []) = j(2 ^ [])],extension(2,bind([[_8040, _8089], [j(2 ^ []), j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.1.2.1',plain,[-(j(2 ^ []) = j(2 ^ []))],extension(10,bind([[_6454], [j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.2',plain,[-(h(j(2 ^ [])) = h(j(2 ^ []))), j(2 ^ []) = j(2 ^ [])],extension(2,bind([[_8040, _8089], [j(2 ^ []), j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.2.1',plain,[-(j(2 ^ []) = j(2 ^ [])), j(2 ^ []) = j(2 ^ [])],extension(5,bind([[_6607, _6652], [j(2 ^ []), j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.1.2.1.1',plain,[-(j(2 ^ []) = j(2 ^ []))],extension(10,bind([[_6454], [j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.2',plain,[-(h(j(2 ^ [])) = h(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))))), j(2 ^ []) = op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))],extension(2,bind([[_8040, _8089], [j(2 ^ []), op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))]]))).
% 162.94/166.63 cnf('1.1.2.2.1.2.1',plain,[-(j(2 ^ []) = op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ [])))), op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))) = j(2 ^ [])],extension(5,bind([[_6607, _6652], [op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))), j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.2.1.1',plain,[-(op1(j(1 ^ []), op1(j(1 ^ []), j(2 ^ []))) = j(2 ^ [])), sorti1(j(1 ^ [])), sorti1(j(2 ^ []))],extension(6,bind([[_10747, _10840], [j(1 ^ []), j(2 ^ [])]]))).
% 162.94/166.63 cnf('1.1.2.2.1.2.1.1.1',plain,[-(sorti1(j(1 ^ []))), sorti2(1 ^ [])],extension(4,bind([[_11829], [1 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.2.1.2.1.1.1.1',plain,[-(sorti2(1 ^ []))],extension(14)).
% 162.94/166.63 cnf('1.1.2.2.1.2.1.1.2',plain,[-(sorti1(j(2 ^ []))), sorti2(2 ^ [])],extension(4,bind([[_11829], [2 ^ []]]))).
% 162.94/166.63 cnf('1.1.2.2.1.2.1.1.2.1',plain,[-(sorti2(2 ^ []))],extension(11)).
% 162.94/166.63 %-----------------------------------------------------
% 162.96/166.64
% 162.96/166.64 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------