TSTP Solution File: KLE056+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 : 300s
% DateTime : Fri May 19 11:25:22 EDT 2023
% Result : Theorem 46.75s 45.82s
% Output : Proof 46.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 03:25:13 EDT 2023
% 0.13/0.33 % CPUTime :
% 46.75/45.82
% 46.75/45.82 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 46.75/45.82 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.75/45.82 %-----------------------------------------------------
% 46.75/45.82 ncf(matrix, plain, [(107 ^ _35464) ^ [] : [103 ^ [] = zero], (105 ^ _35464) ^ [] : [-(domain(103 ^ []) = zero)], !, (20 ^ _31422) ^ [_32178, _32180, _32182, _32184] : [-(leq(_32182, _32178)), leq(_32184, _32180), _32184 = _32182, _32180 = _32178], (94 ^ _31422) ^ [_35010] : [-(addition(_35010, multiplication(domain(_35010), _35010)) = multiplication(domain(_35010), _35010))], (102 ^ _31422) ^ [_35337, _35339] : [-(domain(addition(_35339, _35337)) = addition(domain(_35339), domain(_35337)))], (100 ^ _31422) ^ [] : [-(domain(zero) = zero)], (34 ^ _31422) ^ [_32624, _32626, _32628, _32630] : [-(multiplication(_32630, _32626) = multiplication(_32628, _32624)), _32630 = _32628, _32626 = _32624], (60 ^ _31422) ^ [_33527, _33529] : [-(addition(_33529, _33527) = addition(_33527, _33529))], (54 ^ _31422) ^ [_33294, _33296] : [_33296 = _33294, -(domain(_33296) = domain(_33294))], (4 ^ _31422) ^ [_31653, _31655] : [_31655 = _31653, -(_31653 = _31655)], (44 ^ _31422) ^ [_32983, _32985, _32987, _32989] : [-(addition(_32989, _32985) = addition(_32987, _32983)), _32989 = _32987, _32985 = _32983], (88 ^ _31422) ^ [_34799, _34801] : [addition(_34801, _34799) = _34799, -(leq(_34801, _34799))], (98 ^ _31422) ^ [_35207] : [-(addition(domain(_35207), one) = one)], (62 ^ _31422) ^ [_33641, _33643, _33645] : [-(addition(_33641, addition(_33643, _33645)) = addition(addition(_33641, _33643), _33645))], (80 ^ _31422) ^ [_34512] : [-(multiplication(zero, _34512) = zero)], (2 ^ _31422) ^ [_31546] : [-(_31546 = _31546)], (74 ^ _31422) ^ [_34209, _34211, _34213] : [-(multiplication(_34213, addition(_34211, _34209)) = addition(multiplication(_34213, _34211), multiplication(_34213, _34209)))], (76 ^ _31422) ^ [_34334, _34336, _34338] : [-(multiplication(addition(_34338, _34336), _34334) = addition(multiplication(_34338, _34334), multiplication(_34336, _34334)))], (64 ^ _31422) ^ [_33735] : [-(addition(_33735, zero) = _33735)], (82 ^ _31422) ^ [_34631, _34633] : [leq(_34633, _34631), -(addition(_34633, _34631) = _34631)], (70 ^ _31422) ^ [_34019] : [-(multiplication(_34019, one) = _34019)], (10 ^ _31422) ^ [_31857, _31859, _31861] : [-(_31861 = _31857), _31861 = _31859, _31859 = _31857], (66 ^ _31422) ^ [_33816] : [-(addition(_33816, _33816) = _33816)], (78 ^ _31422) ^ [_34431] : [-(multiplication(_34431, zero) = zero)], (96 ^ _31422) ^ [_35115, _35117] : [-(domain(multiplication(_35117, _35115)) = domain(multiplication(_35117, domain(_35115))))], (72 ^ _31422) ^ [_34100] : [-(multiplication(one, _34100) = _34100)], (68 ^ _31422) ^ [_33925, _33927, _33929] : [-(multiplication(_33929, multiplication(_33927, _33925)) = multiplication(multiplication(_33929, _33927), _33925))]], input).
% 46.75/45.82 ncf('1',plain,[-(domain(103 ^ []) = zero)],start(105 ^ 0)).
% 46.75/45.82 ncf('1.1',plain,[domain(103 ^ []) = zero, -(multiplication(domain(103 ^ []), 103 ^ []) = multiplication(zero, 103 ^ [])), 103 ^ [] = 103 ^ []],extension(34 ^ 1,bind([[_32624, _32626, _32628, _32630], [103 ^ [], 103 ^ [], zero, domain(103 ^ [])]]))).
% 46.75/45.82 ncf('1.1.1',plain,[multiplication(domain(103 ^ []), 103 ^ []) = multiplication(zero, 103 ^ []), -(leq(103 ^ [], multiplication(zero, 103 ^ []))), leq(103 ^ [], multiplication(domain(103 ^ []), 103 ^ [])), 103 ^ [] = 103 ^ []],extension(20 ^ 2,bind([[_32178, _32180, _32182, _32184], [multiplication(zero, 103 ^ []), multiplication(domain(103 ^ []), 103 ^ []), 103 ^ [], 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1',plain,[leq(103 ^ [], multiplication(zero, 103 ^ [])), -(leq(103 ^ [], zero)), 103 ^ [] = 103 ^ [], multiplication(zero, 103 ^ []) = zero],extension(20 ^ 3,bind([[_32178, _32180, _32182, _32184], [zero, multiplication(zero, 103 ^ []), 103 ^ [], 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1.1',plain,[leq(103 ^ [], zero), -(addition(103 ^ [], zero) = zero)],extension(82 ^ 4,bind([[_34631, _34633], [zero, 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1.1.1',plain,[addition(103 ^ [], zero) = zero, -(addition(103 ^ [], zero) = 103 ^ []), zero = 103 ^ []],extension(10 ^ 5,bind([[_31857, _31859, _31861], [103 ^ [], zero, addition(103 ^ [], zero)]]))).
% 46.75/45.82 ncf('1.1.1.1.1.1.1',plain,[addition(103 ^ [], zero) = 103 ^ [], -(103 ^ [] = addition(103 ^ [], zero))],extension(4 ^ 6,bind([[_31653, _31655], [103 ^ [], addition(103 ^ [], zero)]]))).
% 46.75/45.82 ncf('1.1.1.1.1.1.1.1',plain,[103 ^ [] = addition(103 ^ [], zero), -(103 ^ [] = zero), addition(103 ^ [], zero) = zero],extension(10 ^ 7,bind([[_31857, _31859, _31861], [zero, addition(103 ^ [], zero), 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1.1.1.1.1.1',plain,[103 ^ [] = zero],extension(107 ^ 8)).
% 46.75/45.82 ncf('1.1.1.1.1.1.1.1.2',plain,[-(addition(103 ^ [], zero) = zero)],reduction('1.1.1.1.1')).
% 46.75/45.82 ncf('1.1.1.1.1.1.2',plain,[-(zero = 103 ^ []), zero = addition(103 ^ [], zero), addition(103 ^ [], zero) = 103 ^ []],extension(10 ^ 6,bind([[_31857, _31859, _31861], [103 ^ [], addition(103 ^ [], zero), zero]]))).
% 46.75/45.82 ncf('1.1.1.1.1.1.2.1',plain,[-(zero = addition(103 ^ [], zero)), addition(103 ^ [], zero) = zero],extension(4 ^ 7,bind([[_31653, _31655], [zero, addition(103 ^ [], zero)]]))).
% 46.75/45.82 ncf('1.1.1.1.1.1.2.1.1',plain,[-(addition(103 ^ [], zero) = zero)],reduction('1.1.1.1.1')).
% 46.75/45.82 ncf('1.1.1.1.1.1.2.2',plain,[-(addition(103 ^ [], zero) = 103 ^ [])],extension(64 ^ 7,bind([[_33735], [103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1.2',plain,[-(103 ^ [] = 103 ^ []), 103 ^ [] = 103 ^ []],extension(4 ^ 4,bind([[_31653, _31655], [103 ^ [], 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1.2.1',plain,[-(103 ^ [] = 103 ^ [])],extension(2 ^ 5,bind([[_31546], [103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.1.3',plain,[-(multiplication(zero, 103 ^ []) = zero)],extension(80 ^ 4,bind([[_34512], [103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.2',plain,[-(leq(103 ^ [], multiplication(domain(103 ^ []), 103 ^ []))), addition(103 ^ [], multiplication(domain(103 ^ []), 103 ^ [])) = multiplication(domain(103 ^ []), 103 ^ [])],extension(88 ^ 3,bind([[_34799, _34801], [multiplication(domain(103 ^ []), 103 ^ []), 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.2.1',plain,[-(addition(103 ^ [], multiplication(domain(103 ^ []), 103 ^ [])) = multiplication(domain(103 ^ []), 103 ^ []))],extension(94 ^ 4,bind([[_35010], [103 ^ []]]))).
% 46.75/45.82 ncf('1.1.1.3',plain,[-(103 ^ [] = 103 ^ [])],extension(2 ^ 3,bind([[_31546], [103 ^ []]]))).
% 46.75/45.82 ncf('1.1.2',plain,[-(103 ^ [] = 103 ^ []), 103 ^ [] = 103 ^ []],extension(4 ^ 2,bind([[_31653, _31655], [103 ^ [], 103 ^ []]]))).
% 46.75/45.82 ncf('1.1.2.1',plain,[-(103 ^ [] = 103 ^ [])],extension(2 ^ 3,bind([[_31546], [103 ^ []]]))).
% 46.75/45.82 %-----------------------------------------------------
% 46.75/45.82 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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