%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWV491+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n003.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 : Wed Jul 20 19:51:15 EDT 2022

% Result   : Theorem 113.22s 109.53s
% Output   : Proof 113.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV491+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 15 10:38:11 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 113.22/109.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.22/109.54  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.22/109.55  
% 113.22/109.55  %-----------------------------------------------------
% 113.22/109.55  fof(diag, conjecture, ! [_45737, _45740] : (int_leq(int_one, _45737) & int_leq(_45737, n) & int_leq(int_one, _45740) & int_leq(_45740, n) => (int_less(_45737, _45740) => a(_45737, _45740) = real_zero) & (int_less(_45740, _45737) => a(_45737, _45740) = real_zero) & (_45737 = _45740 => a(_45737, _45740) = real_one)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', diag)).
% 113.22/109.55  fof(int_leq, axiom, ! [_46311, _46314] : (int_leq(_46311, _46314) <=> int_less(_46311, _46314) | _46311 = _46314), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', int_leq)).
% 113.22/109.55  fof(int_less_total, axiom, ! [_46496, _46499] : (int_less(_46496, _46499) | int_leq(_46499, _46496)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', int_less_total)).
% 113.22/109.55  fof(plus_and_inverse, axiom, ! [_46646, _46649] : (int_less(_46646, _46649) <=> ? [_46667] : (plus(_46646, _46667) = _46649 & int_less(int_zero, _46667))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', plus_and_inverse)).
% 113.22/109.55  fof(qih, hypothesis, ! [_46878, _46881] : (int_leq(int_one, _46878) & int_leq(_46878, n) & int_leq(int_one, _46881) & int_leq(_46881, n) => ! [_46929] : (int_less(int_zero, _46929) & _46878 = plus(_46881, _46929) => ! [_46960] : (int_leq(int_one, _46960) & int_leq(_46960, _46881) => a(plus(_46960, _46929), _46960) = real_zero)) & ! [_46960] : (int_leq(int_one, _46960) & int_leq(_46960, _46881) => a(_46960, _46960) = real_one) & ! [_46929] : (int_less(int_zero, _46929) & _46881 = plus(_46878, _46929) => ! [_46960] : (int_leq(int_one, _46960) & int_leq(_46960, _46878) => a(_46960, plus(_46960, _46929)) = real_zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qih)).
% 113.22/109.55  
% 113.22/109.55  cnf(1, plain, [-(6 ^ []), a(2 ^ [], 3 ^ []) = real_one], clausify(diag)).
% 113.22/109.55  cnf(2, plain, [-(6 ^ []), -(2 ^ [] = 3 ^ [])], clausify(diag)).
% 113.22/109.55  cnf(3, plain, [-(5 ^ []), a(2 ^ [], 3 ^ []) = real_zero], clausify(diag)).
% 113.22/109.55  cnf(4, plain, [-(5 ^ []), -(int_less(3 ^ [], 2 ^ []))], clausify(diag)).
% 113.22/109.55  cnf(5, plain, [-(4 ^ []), a(2 ^ [], 3 ^ []) = real_zero], clausify(diag)).
% 113.22/109.55  cnf(6, plain, [-(4 ^ []), -(int_less(2 ^ [], 3 ^ []))], clausify(diag)).
% 113.22/109.55  cnf(7, plain, [-(int_leq(int_one, 2 ^ []))], clausify(diag)).
% 113.22/109.55  cnf(8, plain, [-(int_leq(2 ^ [], n))], clausify(diag)).
% 113.22/109.55  cnf(9, plain, [-(int_leq(int_one, 3 ^ []))], clausify(diag)).
% 113.22/109.55  cnf(10, plain, [-(int_leq(3 ^ [], n))], clausify(diag)).
% 113.22/109.55  cnf(11, plain, [4 ^ [], 5 ^ [], 6 ^ []], clausify(diag)).
% 113.22/109.55  cnf(12, plain, [-(a(_11172, _11305) = a(_11239, _11370)), _11172 = _11239, _11305 = _11370], theory(equality)).
% 113.22/109.55  cnf(13, plain, [-(_8996 = _8996)], theory(equality)).
% 113.22/109.55  cnf(14, plain, [_9149 = _9194, -(_9194 = _9149)], theory(equality)).
% 113.22/109.55  cnf(15, plain, [-(_9428 = _9539), _9428 = _9484, _9484 = _9539], theory(equality)).
% 113.22/109.55  cnf(16, plain, [-(int_less(_10585, _10716)), int_less(_10518, _10651), _10518 = _10585, _10651 = _10716], theory(equality)).
% 113.22/109.55  cnf(17, plain, [-(int_leq(_12461, _12512)), int_less(_12461, _12512)], clausify(int_leq)).
% 113.22/109.55  cnf(18, plain, [-(int_leq(_12461, _12512)), _12461 = _12512], clausify(int_leq)).
% 113.22/109.55  cnf(19, plain, [-(int_less(_13654, _13699)), -(int_leq(_13699, _13654))], clausify(int_less_total)).
% 113.22/109.55  cnf(20, plain, [int_less(_15266, _15325), -(plus(_15266, 1 ^ [_15325, _15266]) = _15325)], clausify(plus_and_inverse)).
% 113.22/109.55  cnf(21, plain, [int_less(_15266, _15325), -(int_less(int_zero, 1 ^ [_15325, _15266]))], clausify(plus_and_inverse)).
% 113.22/109.55  cnf(22, plain, [int_leq(_16348, n), int_leq(int_one, _16348), int_leq(_16167, n), int_leq(int_one, _16167), _16167 = plus(_16348, _16819), int_less(int_zero, _16819), -(a(plus(_17069, _16819), _17069) = real_zero), int_leq(int_one, _17069), int_leq(_17069, _16348)], clausify(qih)).
% 113.22/109.55  cnf(23, plain, [int_leq(_16348, n), int_leq(int_one, _16348), int_leq(_16167, n), int_leq(int_one, _16167), -(a(_17443, _17443) = real_one), int_leq(int_one, _17443), int_leq(_17443, _16348)], clausify(qih)).
% 113.22/109.55  cnf(24, plain, [int_leq(_16348, n), int_leq(int_one, _16348), int_leq(_16167, n), int_leq(int_one, _16167), _16348 = plus(_16167, _17741), int_less(int_zero, _17741), -(a(_17991, plus(_17991, _17741)) = real_zero), int_leq(int_one, _17991), int_leq(_17991, _16167)], clausify(qih)).
% 113.22/109.55  
% 113.22/109.55  cnf('1',plain,[4 ^ [], 5 ^ [], 6 ^ []],start(11)).
% 113.22/109.55  cnf('1.1',plain,[-(4 ^ []), a(2 ^ [], 3 ^ []) = real_zero],extension(5)).
% 113.22/109.55  cnf('1.1.1',plain,[-(a(2 ^ [], 3 ^ []) = real_zero), a(2 ^ [], 3 ^ []) = a(2 ^ [], plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])), a(2 ^ [], plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])) = real_zero],extension(15,bind([[_9428, _9484, _9539], [a(2 ^ [], 3 ^ []), a(2 ^ [], plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])), real_zero]]))).
% 113.22/109.55  cnf('1.1.1.1',plain,[-(a(2 ^ [], 3 ^ []) = a(2 ^ [], plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]))), 2 ^ [] = 2 ^ [], 3 ^ [] = plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])],extension(12,bind([[_11172, _11239, _11305, _11370], [2 ^ [], 2 ^ [], 3 ^ [], plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])]]))).
% 113.22/109.55  cnf('1.1.1.1.1',plain,[-(2 ^ [] = 2 ^ [])],extension(13,bind([[_8996], [2 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.1.2',plain,[-(3 ^ [] = plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])), plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]) = 3 ^ []],extension(14,bind([[_9149, _9194], [plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]), 3 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.1.2.1',plain,[-(plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]) = 3 ^ []), int_less(2 ^ [], 3 ^ [])],extension(20,bind([[_15266, _15325], [2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.1.2.1.1',plain,[-(int_less(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(6)).
% 113.22/109.55  cnf('1.1.1.1.2.1.1.1',plain,[4 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.1.1.2',plain,[-(a(2 ^ [], plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])) = real_zero), int_leq(3 ^ [], n), int_leq(int_one, 3 ^ []), int_leq(2 ^ [], n), int_leq(int_one, 2 ^ []), 3 ^ [] = plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]), int_less(int_zero, 1 ^ [3 ^ [], 2 ^ []]), int_leq(int_one, 2 ^ []), int_leq(2 ^ [], 2 ^ [])],extension(24,bind([[_16348, _17741, _17991, _16167], [3 ^ [], 1 ^ [3 ^ [], 2 ^ []], 2 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.2.1',plain,[-(int_leq(3 ^ [], n))],extension(10)).
% 113.22/109.55  cnf('1.1.1.2.2',plain,[-(int_leq(int_one, 3 ^ []))],extension(9)).
% 113.22/109.55  cnf('1.1.1.2.3',plain,[-(int_leq(2 ^ [], n))],extension(8)).
% 113.22/109.55  cnf('1.1.1.2.4',plain,[-(int_leq(int_one, 2 ^ []))],extension(7)).
% 113.22/109.55  cnf('1.1.1.2.5',plain,[-(3 ^ [] = plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []])), plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]) = 3 ^ []],extension(14,bind([[_9149, _9194], [plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]), 3 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.2.5.1',plain,[-(plus(2 ^ [], 1 ^ [3 ^ [], 2 ^ []]) = 3 ^ []), int_less(2 ^ [], 3 ^ [])],extension(20,bind([[_15266, _15325], [2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.2.5.1.1',plain,[-(int_less(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(6)).
% 113.22/109.55  cnf('1.1.1.2.5.1.1.1',plain,[4 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.1.1.2.6',plain,[-(int_less(int_zero, 1 ^ [3 ^ [], 2 ^ []])), int_less(int_zero, 1 ^ [3 ^ [], 2 ^ []]), int_zero = int_zero, 1 ^ [3 ^ [], 2 ^ []] = 1 ^ [3 ^ [], 2 ^ []]],extension(16,bind([[_10518, _10585, _10651, _10716], [int_zero, int_zero, 1 ^ [3 ^ [], 2 ^ []], 1 ^ [3 ^ [], 2 ^ []]]]))).
% 113.22/109.55  cnf('1.1.1.2.6.1',plain,[-(int_less(int_zero, 1 ^ [3 ^ [], 2 ^ []])), int_less(2 ^ [], 3 ^ [])],extension(21,bind([[_15266, _15325], [2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.2.6.1.1',plain,[-(int_less(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(6)).
% 113.22/109.55  cnf('1.1.1.2.6.1.1.1',plain,[4 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.1.1.2.6.2',plain,[-(int_zero = int_zero)],extension(13,bind([[_8996], [int_zero]]))).
% 113.22/109.55  cnf('1.1.1.2.6.3',plain,[-(1 ^ [3 ^ [], 2 ^ []] = 1 ^ [3 ^ [], 2 ^ []])],extension(13,bind([[_8996], [1 ^ [3 ^ [], 2 ^ []]]]))).
% 113.22/109.55  cnf('1.1.1.2.7',plain,[-(int_leq(int_one, 2 ^ []))],extension(7)).
% 113.22/109.55  cnf('1.1.1.2.8',plain,[-(int_leq(2 ^ [], 2 ^ [])), int_less(2 ^ [], 2 ^ [])],extension(17,bind([[_12461, _12512], [2 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.2.8.1',plain,[-(int_less(2 ^ [], 2 ^ [])), -(int_leq(2 ^ [], 2 ^ []))],extension(19,bind([[_13699, _13654], [2 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.1.1.2.8.1.1',plain,[int_leq(2 ^ [], 2 ^ [])],reduction('1.1.1.2')).
% 113.22/109.55  cnf('1.2',plain,[-(5 ^ []), a(2 ^ [], 3 ^ []) = real_zero],extension(3)).
% 113.22/109.55  cnf('1.2.1',plain,[-(a(2 ^ [], 3 ^ []) = real_zero), a(2 ^ [], 3 ^ []) = a(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ []), a(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ []) = real_zero],extension(15,bind([[_9428, _9484, _9539], [a(2 ^ [], 3 ^ []), a(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ []), real_zero]]))).
% 113.22/109.55  cnf('1.2.1.1',plain,[-(a(2 ^ [], 3 ^ []) = a(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ [])), 2 ^ [] = plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ [] = 3 ^ []],extension(12,bind([[_11172, _11239, _11305, _11370], [2 ^ [], plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.1.1',plain,[-(2 ^ [] = plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []])), plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]) = 2 ^ []],extension(14,bind([[_9149, _9194], [plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 2 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.1.1.1',plain,[-(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]) = 2 ^ []), int_less(3 ^ [], 2 ^ [])],extension(20,bind([[_15266, _15325], [3 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.1.1.1.1',plain,[-(int_less(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(4)).
% 113.22/109.55  cnf('1.2.1.1.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.2.1.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(13,bind([[_8996], [3 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2',plain,[-(a(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 3 ^ []) = real_zero), int_leq(3 ^ [], n), int_leq(int_one, 3 ^ []), int_leq(2 ^ [], n), int_leq(int_one, 2 ^ []), 2 ^ [] = plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), int_less(int_zero, 1 ^ [2 ^ [], 3 ^ []]), int_leq(int_one, 3 ^ []), int_leq(3 ^ [], 3 ^ [])],extension(22,bind([[_16167, _16819, _17069, _16348], [2 ^ [], 1 ^ [2 ^ [], 3 ^ []], 3 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2.1',plain,[-(int_leq(3 ^ [], n))],extension(10)).
% 113.22/109.55  cnf('1.2.1.2.2',plain,[-(int_leq(int_one, 3 ^ []))],extension(9)).
% 113.22/109.55  cnf('1.2.1.2.3',plain,[-(int_leq(2 ^ [], n))],extension(8)).
% 113.22/109.55  cnf('1.2.1.2.4',plain,[-(int_leq(int_one, 2 ^ []))],extension(7)).
% 113.22/109.55  cnf('1.2.1.2.5',plain,[-(2 ^ [] = plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []])), plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]) = 2 ^ []],extension(14,bind([[_9149, _9194], [plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]), 2 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2.5.1',plain,[-(plus(3 ^ [], 1 ^ [2 ^ [], 3 ^ []]) = 2 ^ []), int_less(3 ^ [], 2 ^ [])],extension(20,bind([[_15266, _15325], [3 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2.5.1.1',plain,[-(int_less(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(4)).
% 113.22/109.55  cnf('1.2.1.2.5.1.1.1',plain,[5 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.2.1.2.6',plain,[-(int_less(int_zero, 1 ^ [2 ^ [], 3 ^ []])), int_less(int_zero, 1 ^ [2 ^ [], 3 ^ []]), int_zero = int_zero, 1 ^ [2 ^ [], 3 ^ []] = 1 ^ [2 ^ [], 3 ^ []]],extension(16,bind([[_10518, _10585, _10651, _10716], [int_zero, int_zero, 1 ^ [2 ^ [], 3 ^ []], 1 ^ [2 ^ [], 3 ^ []]]]))).
% 113.22/109.55  cnf('1.2.1.2.6.1',plain,[-(int_less(int_zero, 1 ^ [2 ^ [], 3 ^ []])), int_less(3 ^ [], 2 ^ [])],extension(21,bind([[_15266, _15325], [3 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2.6.1.1',plain,[-(int_less(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(4)).
% 113.22/109.55  cnf('1.2.1.2.6.1.1.1',plain,[5 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.2.1.2.6.2',plain,[-(int_zero = int_zero)],extension(13,bind([[_8996], [int_zero]]))).
% 113.22/109.55  cnf('1.2.1.2.6.3',plain,[-(1 ^ [2 ^ [], 3 ^ []] = 1 ^ [2 ^ [], 3 ^ []])],extension(13,bind([[_8996], [1 ^ [2 ^ [], 3 ^ []]]]))).
% 113.22/109.55  cnf('1.2.1.2.7',plain,[-(int_leq(int_one, 3 ^ []))],extension(9)).
% 113.22/109.55  cnf('1.2.1.2.8',plain,[-(int_leq(3 ^ [], 3 ^ [])), int_less(3 ^ [], 3 ^ [])],extension(17,bind([[_12461, _12512], [3 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2.8.1',plain,[-(int_less(3 ^ [], 3 ^ [])), -(int_leq(3 ^ [], 3 ^ []))],extension(19,bind([[_13699, _13654], [3 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.2.1.2.8.1.1',plain,[int_leq(3 ^ [], 3 ^ [])],reduction('1.2.1.2')).
% 113.22/109.55  cnf('1.3',plain,[-(6 ^ []), a(2 ^ [], 3 ^ []) = real_one],extension(1)).
% 113.22/109.55  cnf('1.3.1',plain,[-(a(2 ^ [], 3 ^ []) = real_one), a(2 ^ [], 3 ^ []) = a(3 ^ [], 3 ^ []), a(3 ^ [], 3 ^ []) = real_one],extension(15,bind([[_9428, _9484, _9539], [a(2 ^ [], 3 ^ []), a(3 ^ [], 3 ^ []), real_one]]))).
% 113.22/109.55  cnf('1.3.1.1',plain,[-(a(2 ^ [], 3 ^ []) = a(3 ^ [], 3 ^ [])), 2 ^ [] = 3 ^ [], 3 ^ [] = 3 ^ []],extension(12,bind([[_11172, _11239, _11305, _11370], [2 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.1.1',plain,[-(2 ^ [] = 3 ^ []), -(6 ^ [])],extension(2)).
% 113.22/109.55  cnf('1.3.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.3.1.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(13,bind([[_8996], [3 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.2',plain,[-(a(3 ^ [], 3 ^ []) = real_one), a(3 ^ [], 3 ^ []) = a(2 ^ [], 2 ^ []), a(2 ^ [], 2 ^ []) = real_one],extension(15,bind([[_9428, _9484, _9539], [a(3 ^ [], 3 ^ []), a(2 ^ [], 2 ^ []), real_one]]))).
% 113.22/109.55  cnf('1.3.1.2.1',plain,[-(a(3 ^ [], 3 ^ []) = a(2 ^ [], 2 ^ [])), 3 ^ [] = 2 ^ [], 3 ^ [] = 2 ^ []],extension(12,bind([[_11172, _11239, _11305, _11370], [3 ^ [], 2 ^ [], 3 ^ [], 2 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.2.1.1',plain,[-(3 ^ [] = 2 ^ []), 2 ^ [] = 3 ^ []],extension(14,bind([[_9149, _9194], [2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.2.1.1.1',plain,[-(2 ^ [] = 3 ^ []), -(6 ^ [])],extension(2)).
% 113.22/109.55  cnf('1.3.1.2.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.3.1.2.1.2',plain,[-(3 ^ [] = 2 ^ []), 2 ^ [] = 3 ^ []],extension(14,bind([[_9149, _9194], [2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.2.1.2.1',plain,[-(2 ^ [] = 3 ^ []), -(6 ^ [])],extension(2)).
% 113.22/109.55  cnf('1.3.1.2.1.2.1.1',plain,[6 ^ []],reduction('1')).
% 113.22/109.55  cnf('1.3.1.2.2',plain,[-(a(2 ^ [], 2 ^ []) = real_one), int_leq(3 ^ [], n), int_leq(int_one, 3 ^ []), int_leq(2 ^ [], n), int_leq(int_one, 2 ^ []), int_leq(int_one, 2 ^ []), int_leq(2 ^ [], 3 ^ [])],extension(23,bind([[_16167, _17443, _16348], [2 ^ [], 2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.2.2.1',plain,[-(int_leq(3 ^ [], n))],extension(10)).
% 113.22/109.55  cnf('1.3.1.2.2.2',plain,[-(int_leq(int_one, 3 ^ []))],extension(9)).
% 113.22/109.55  cnf('1.3.1.2.2.3',plain,[-(int_leq(2 ^ [], n))],extension(8)).
% 113.22/109.55  cnf('1.3.1.2.2.4',plain,[-(int_leq(int_one, 2 ^ []))],extension(7)).
% 113.22/109.55  cnf('1.3.1.2.2.5',plain,[-(int_leq(int_one, 2 ^ []))],extension(7)).
% 113.22/109.55  cnf('1.3.1.2.2.6',plain,[-(int_leq(2 ^ [], 3 ^ [])), 2 ^ [] = 3 ^ []],extension(18,bind([[_12461, _12512], [2 ^ [], 3 ^ []]]))).
% 113.22/109.55  cnf('1.3.1.2.2.6.1',plain,[-(2 ^ [] = 3 ^ []), -(6 ^ [])],extension(2)).
% 113.22/109.55  cnf('1.3.1.2.2.6.1.1',plain,[6 ^ []],reduction('1')).
% 113.22/109.55  %-----------------------------------------------------
% 113.22/109.55  
% 113.22/109.56  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------