TSTP Solution File: NUM849+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 11:45:46 EDT 2023
% Result : Theorem 0.34s 1.37s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 17:48:02 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.37
% 0.34/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 ncf(matrix, plain, [(89 ^ _27934) ^ [] : [-(vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ [])))], (91 ^ _27934) ^ [] : [vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))], (46 ^ _27934) ^ [_29594] : [vmul(vmul(vd448, vd449), _29594) = vmul(vd448, vmul(vd449, _29594)), -(vmul(vd448, vplus(vmul(vd449, _29594), vd449)) = vmul(vd448, vmul(vd449, vsucc(_29594))))], (52 ^ _27934) ^ [_29836] : [vmul(vmul(vd448, vd449), _29836) = vmul(vd448, vmul(vd449, _29836)), -(vplus(vmul(vd448, vmul(vd449, _29836)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _29836), vd449)))], (58 ^ _27934) ^ [_30080] : [vmul(vmul(vd448, vd449), _30080) = vmul(vd448, vmul(vd449, _30080)), -(vplus(vmul(vmul(vd448, vd449), _30080), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _30080)), vmul(vd448, vd449)))], (70 ^ _27934) ^ [] : [-(vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1)))], (72 ^ _27934) ^ [_30614, _30616, _30618] : [-(vmul(_30618, vplus(_30616, _30614)) = vplus(vmul(_30618, _30616), vmul(_30618, _30614)))], (74 ^ _27934) ^ [_30725, _30727] : [-(vmul(_30727, _30725) = vmul(_30725, _30727))], (76 ^ _27934) ^ [_30825, _30827] : [-(vmul(vsucc(_30827), _30825) = vplus(vmul(_30827, _30825), _30825))], (78 ^ _27934) ^ [_30950, _30952] : [-(vmul(_30952, vsucc(_30950)) = vplus(vmul(_30952, _30950), _30952))], (80 ^ _27934) ^ [_31007, _31009] : [-(vmul(_31009, v1) = _31009)], (82 ^ _27934) ^ [_31106, _31108] : [-(vplus(_31106, _31108) = vplus(_31108, _31106))], (84 ^ _27934) ^ [_31206, _31208] : [-(vplus(_31208, vsucc(_31206)) = vsucc(vplus(_31208, _31206)))], (86 ^ _27934) ^ [_31262, _31264] : [-(vplus(_31264, v1) = vsucc(_31264))], (64 ^ _27934) ^ [_30318] : [vmul(vmul(vd448, vd449), _30318) = vmul(vd448, vmul(vd449, _30318)), -(vmul(vmul(vd448, vd449), vsucc(_30318)) = vplus(vmul(vmul(vd448, vd449), _30318), vmul(vd448, vd449)))], (2 ^ _27934) ^ [_28058] : [-(_28058 = _28058)], (4 ^ _27934) ^ [_28165, _28167] : [_28167 = _28165, -(_28165 = _28167)], (10 ^ _27934) ^ [_28369, _28371, _28373] : [-(_28373 = _28369), _28373 = _28371, _28371 = _28369], (20 ^ _27934) ^ [_28710, _28712, _28714, _28716] : [-(vplus(_28716, _28712) = vplus(_28714, _28710)), _28716 = _28714, _28712 = _28710], (40 ^ _27934) ^ [_29380, _29382] : [_29382 = _29380, -(vsucc(_29382) = vsucc(_29380))], (30 ^ _27934) ^ [_29069, _29071, _29073, _29075] : [-(vmul(_29075, _29071) = vmul(_29073, _29069)), _29075 = _29073, _29071 = _29069]], input).
% 0.34/1.37 ncf('1',plain,[vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))],start(91 ^ 0)).
% 0.34/1.37 ncf('1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))), vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))],extension(10 ^ 1,bind([[_28369, _28371, _28373], [vmul(vd448, vmul(vd449, vsucc(87 ^ []))), vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)), vmul(vmul(vd448, vd449), vsucc(87 ^ []))]]))).
% 0.34/1.37 ncf('1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vplus(vmul(vmul(vd448, vd449), 87 ^ []), vmul(vd448, vd449)), vplus(vmul(vmul(vd448, vd449), 87 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449))],extension(10 ^ 2,bind([[_28369, _28371, _28373], [vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)), vplus(vmul(vmul(vd448, vd449), 87 ^ []), vmul(vd448, vd449)), vmul(vmul(vd448, vd449), vsucc(87 ^ []))]]))).
% 0.34/1.37 ncf('1.1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(87 ^ [])) = vplus(vmul(vmul(vd448, vd449), 87 ^ []), vmul(vd448, vd449)))],extension(78 ^ 3,bind([[_30950, _30952], [87 ^ [], vmul(vd448, vd449)]]))).
% 0.34/1.37 ncf('1.1.1.2',plain,[-(vplus(vmul(vmul(vd448, vd449), 87 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ []))],extension(58 ^ 3,bind([[_30080], [87 ^ []]]))).
% 0.34/1.37 ncf('1.1.1.2.1',plain,[-(vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ [])))],extension(89 ^ 4)).
% 0.34/1.37 ncf('1.1.2',plain,[-(vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))), vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 87 ^ []), vd449)), vmul(vd448, vplus(vmul(vd449, 87 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))],extension(10 ^ 2,bind([[_28369, _28371, _28373], [vmul(vd448, vmul(vd449, vsucc(87 ^ []))), vmul(vd448, vplus(vmul(vd449, 87 ^ []), vd449)), vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449))]]))).
% 0.34/1.37 ncf('1.1.2.1',plain,[-(vplus(vmul(vd448, vmul(vd449, 87 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 87 ^ []), vd449))), vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ []))],extension(52 ^ 3,bind([[_29836], [87 ^ []]]))).
% 0.34/1.37 ncf('1.1.2.1.1',plain,[-(vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ [])))],extension(89 ^ 4)).
% 0.34/1.37 ncf('1.1.2.2',plain,[-(vmul(vd448, vplus(vmul(vd449, 87 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(87 ^ [])))), vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ []))],extension(46 ^ 3,bind([[_29594], [87 ^ []]]))).
% 0.34/1.37 ncf('1.1.2.2.1',plain,[-(vmul(vmul(vd448, vd449), 87 ^ []) = vmul(vd448, vmul(vd449, 87 ^ [])))],extension(89 ^ 4)).
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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