%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KLE007+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 : Sun Jul 17 02:09:54 EDT 2022

% Result   : Theorem 149.25s 143.85s
% Output   : Proof 149.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE007+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n025.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 : Thu Jun 16 09:20:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 149.25/143.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.25/143.86  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.25/143.86  
% 149.25/143.86  %-----------------------------------------------------
% 149.25/143.86  fof(test_3, axiom, ! [_34346, _34349] : (test(_34346) => (c(_34346) = _34349 <=> complement(_34346, _34349))), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax', test_3)).
% 149.25/143.86  fof(test_2, axiom, ! [_34518, _34521] : (complement(_34521, _34518) <=> multiplication(_34518, _34521) = zero & multiplication(_34521, _34518) = zero & addition(_34518, _34521) = one), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax', test_2)).
% 149.25/143.86  fof(goals, conjecture, ! [_34758, _34761] : (test(_34761) & test(_34758) => one = addition(multiplication(addition(_34758, c(_34758)), _34761), multiplication(addition(_34758, c(_34758)), c(_34761)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals)).
% 149.25/143.86  fof(additive_commutativity, axiom, ! [_35045, _35048] : addition(_35045, _35048) = addition(_35048, _35045), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', additive_commutativity)).
% 149.25/143.86  fof(multiplicative_right_identity, axiom, ! [_35195] : multiplication(_35195, one) = _35195, file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', multiplicative_right_identity)).
% 149.25/143.86  fof(right_distributivity, axiom, ! [_35315, _35318, _35321] : multiplication(_35315, addition(_35318, _35321)) = addition(multiplication(_35315, _35318), multiplication(_35315, _35321)), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', right_distributivity)).
% 149.25/143.86  
% 149.25/143.86  cnf(1, plain, [-(3 ^ [_17943, _17891]), c(_17891) = _17943, -(complement(_17891, _17943))], clausify(test_3)).
% 149.25/143.86  cnf(2, plain, [-(2 ^ [_17346, _17280]), -(addition(_17280, _17346) = one)], clausify(test_2)).
% 149.25/143.86  cnf(3, plain, [-(test(5 ^ []))], clausify(goals)).
% 149.25/143.86  cnf(4, plain, [-(test(4 ^ []))], clausify(goals)).
% 149.25/143.86  cnf(5, plain, [one = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])))], clausify(goals)).
% 149.25/143.86  cnf(6, plain, [-(addition(_12935, _12980) = addition(_12980, _12935))], clausify(additive_commutativity)).
% 149.25/143.86  cnf(7, plain, [-(multiplication(_14607, one) = _14607)], clausify(multiplicative_right_identity)).
% 149.25/143.86  cnf(8, plain, [-(multiplication(_15035, addition(_15094, _15152)) = addition(multiplication(_15035, _15094), multiplication(_15035, _15152)))], clausify(right_distributivity)).
% 149.25/143.86  cnf(9, plain, [complement(_17346, _17280), 2 ^ [_17346, _17280]], clausify(test_2)).
% 149.25/143.86  cnf(10, plain, [test(_17891), 3 ^ [_17943, _17891]], clausify(test_3)).
% 149.25/143.86  cnf(11, plain, [_11916 = _11965, -(c(_11916) = c(_11965))], theory(equality)).
% 149.25/143.86  cnf(12, plain, [-(multiplication(_12235, _12368) = multiplication(_12302, _12433)), _12235 = _12302, _12368 = _12433], theory(equality)).
% 149.25/143.86  cnf(13, plain, [-(_8772 = _8772)], theory(equality)).
% 149.25/143.86  cnf(14, plain, [_8925 = _8970, -(_8970 = _8925)], theory(equality)).
% 149.25/143.86  cnf(15, plain, [-(_9204 = _9315), _9204 = _9260, _9260 = _9315], theory(equality)).
% 149.25/143.86  
% 149.25/143.86  cnf('1',plain,[complement(5 ^ [], c(5 ^ [])), 2 ^ [5 ^ [], c(5 ^ [])]],start(9,bind([[_17346, _17280], [5 ^ [], c(5 ^ [])]]))).
% 149.25/143.86  cnf('1.1',plain,[-(complement(5 ^ [], c(5 ^ []))), -(3 ^ [c(5 ^ []), 5 ^ []]), c(5 ^ []) = c(5 ^ [])],extension(1,bind([[_17891, _17943], [5 ^ [], c(5 ^ [])]]))).
% 149.25/143.86  cnf('1.1.1',plain,[3 ^ [c(5 ^ []), 5 ^ []], test(5 ^ [])],extension(10,bind([[_17943, _17891], [c(5 ^ []), 5 ^ []]]))).
% 149.25/143.86  cnf('1.1.1.1',plain,[-(test(5 ^ []))],extension(3)).
% 149.25/143.86  cnf('1.1.2',plain,[-(c(5 ^ []) = c(5 ^ [])), 5 ^ [] = 5 ^ []],extension(11,bind([[_11916, _11965], [5 ^ [], 5 ^ []]]))).
% 149.25/143.86  cnf('1.1.2.1',plain,[-(5 ^ [] = 5 ^ [])],extension(13,bind([[_8772], [5 ^ []]]))).
% 149.25/143.86  cnf('1.2',plain,[-(2 ^ [5 ^ [], c(5 ^ [])]), -(addition(c(5 ^ []), 5 ^ []) = one)],extension(2,bind([[_17280, _17346], [c(5 ^ []), 5 ^ []]]))).
% 149.25/143.86  cnf('1.2.1',plain,[addition(c(5 ^ []), 5 ^ []) = one, -(multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ [])) = multiplication(one, one)), addition(4 ^ [], c(4 ^ [])) = one],extension(12,bind([[_12368, _12433, _12235, _12302], [addition(c(5 ^ []), 5 ^ []), one, addition(4 ^ [], c(4 ^ [])), one]]))).
% 149.25/143.86  cnf('1.2.1.1',plain,[multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ [])) = multiplication(one, one), -(addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = multiplication(one, one)), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ []))],extension(15,bind([[_9315, _9204, _9260], [multiplication(one, one), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))), multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ []))]]))).
% 149.25/143.86  cnf('1.2.1.1.1',plain,[addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = multiplication(one, one), -(multiplication(one, one) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))))],extension(14,bind([[_8970, _8925], [multiplication(one, one), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])))]]))).
% 149.25/143.86  cnf('1.2.1.1.1.1',plain,[multiplication(one, one) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))), -(multiplication(one, one) = one), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = one],extension(15,bind([[_9204, _9260, _9315], [multiplication(one, one), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))), one]]))).
% 149.25/143.86  cnf('1.2.1.1.1.1.1',plain,[multiplication(one, one) = one, -(one = multiplication(one, one))],extension(14,bind([[_8970, _8925], [one, multiplication(one, one)]]))).
% 149.25/143.86  cnf('1.2.1.1.1.1.1.1',plain,[one = multiplication(one, one), -(one = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])))), multiplication(one, one) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])))],extension(15,bind([[_9204, _9260, _9315], [one, multiplication(one, one), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])))]]))).
% 149.25/143.86  cnf('1.2.1.1.1.1.1.1.1',plain,[one = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])))],extension(5)).
% 149.25/143.86  cnf('1.2.1.1.1.1.1.1.2',plain,[-(multiplication(one, one) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))))],reduction('1.2.1.1.1')).
% 149.25/143.86  cnf('1.2.1.1.1.1.2',plain,[-(addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = one), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = multiplication(one, one), multiplication(one, one) = one],extension(15,bind([[_9204, _9260, _9315], [addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))), multiplication(one, one), one]]))).
% 149.25/143.86  cnf('1.2.1.1.1.1.2.1',plain,[-(addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = multiplication(one, one))],reduction('1.2.1.1')).
% 149.25/143.86  cnf('1.2.1.1.1.1.2.2',plain,[-(multiplication(one, one) = one)],extension(7,bind([[_14607], [one]]))).
% 149.25/143.86  cnf('1.2.1.1.2',plain,[-(addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ []))), addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])), addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])) = multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ []))],extension(15,bind([[_9204, _9260, _9315], [addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))), addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ []))]]))).
% 149.25/143.86  cnf('1.2.1.1.2.1',plain,[-(addition(multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []), multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ []))) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])))],extension(6,bind([[_12980, _12935], [multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])]]))).
% 149.25/143.86  cnf('1.2.1.1.2.2',plain,[-(addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])) = multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ []))), multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ [])) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []))],extension(14,bind([[_8925, _8970], [multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ [])), addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ []))]]))).
% 149.25/143.86  cnf('1.2.1.1.2.2.1',plain,[-(multiplication(addition(4 ^ [], c(4 ^ [])), addition(c(5 ^ []), 5 ^ [])) = addition(multiplication(addition(4 ^ [], c(4 ^ [])), c(5 ^ [])), multiplication(addition(4 ^ [], c(4 ^ [])), 5 ^ [])))],extension(8,bind([[_15094, _15035, _15152], [c(5 ^ []), addition(4 ^ [], c(4 ^ [])), 5 ^ []]]))).
% 149.25/143.86  cnf('1.2.1.2',plain,[-(addition(4 ^ [], c(4 ^ [])) = one), addition(4 ^ [], c(4 ^ [])) = addition(c(4 ^ []), 4 ^ []), addition(c(4 ^ []), 4 ^ []) = one],extension(15,bind([[_9204, _9260, _9315], [addition(4 ^ [], c(4 ^ [])), addition(c(4 ^ []), 4 ^ []), one]]))).
% 149.25/143.86  cnf('1.2.1.2.1',plain,[-(addition(4 ^ [], c(4 ^ [])) = addition(c(4 ^ []), 4 ^ []))],extension(6,bind([[_12980, _12935], [c(4 ^ []), 4 ^ []]]))).
% 149.25/143.86  cnf('1.2.1.2.2',plain,[-(addition(c(4 ^ []), 4 ^ []) = one), -(2 ^ [4 ^ [], c(4 ^ [])])],extension(2,bind([[_17346, _17280], [4 ^ [], c(4 ^ [])]]))).
% 149.25/143.86  cnf('1.2.1.2.2.1',plain,[2 ^ [4 ^ [], c(4 ^ [])], complement(4 ^ [], c(4 ^ []))],extension(9,bind([[_17346, _17280], [4 ^ [], c(4 ^ [])]]))).
% 149.25/143.86  cnf('1.2.1.2.2.1.1',plain,[-(complement(4 ^ [], c(4 ^ []))), -(3 ^ [c(4 ^ []), 4 ^ []]), c(4 ^ []) = c(4 ^ [])],extension(1,bind([[_17891, _17943], [4 ^ [], c(4 ^ [])]]))).
% 149.25/143.86  cnf('1.2.1.2.2.1.1.1',plain,[3 ^ [c(4 ^ []), 4 ^ []], test(4 ^ [])],extension(10,bind([[_17943, _17891], [c(4 ^ []), 4 ^ []]]))).
% 149.25/143.86  cnf('1.2.1.2.2.1.1.1.1',plain,[-(test(4 ^ []))],extension(4)).
% 149.25/143.86  cnf('1.2.1.2.2.1.1.2',plain,[-(c(4 ^ []) = c(4 ^ []))],extension(13,bind([[_8772], [c(4 ^ [])]]))).
% 149.25/143.86  %-----------------------------------------------------
% 149.25/143.87  
% 149.25/143.87  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------