TSTP Solution File: NUM848+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n026.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 : Mon Jul 18 11:45:11 EDT 2022

% Result   : Theorem 0.36s 1.40s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n026.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  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 15:04:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.36/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41  
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  fof('holds(286, 441, 4)', conjecture, vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(286, 441, 4)')).
% 0.36/1.41  fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))', axiom, ! [_23825, _23828] : (vmul(_23825, vsucc(_23828)) = vplus(vmul(_23825, _23828), _23825) & vmul(_23825, v1) = _23825), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.36/1.41  
% 0.36/1.41  cnf(1, plain, [vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))], clausify('holds(286, 441, 4)')).
% 0.36/1.41  cnf(2, plain, [-(vmul(_14445, vsucc(_14504)) = vplus(vmul(_14445, _14504), _14445))], clausify('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.36/1.41  cnf(3, plain, [-(vmul(_10104, _10237) = vmul(_10171, _10302)), _10104 = _10171, _10237 = _10302], theory(equality)).
% 0.36/1.41  cnf(4, plain, [-(vplus(_10728, _10861) = vplus(_10795, _10926)), _10728 = _10795, _10861 = _10926], theory(equality)).
% 0.36/1.41  cnf(5, plain, [-(_7928 = _7928)], theory(equality)).
% 0.36/1.41  cnf(6, plain, [_8081 = _8126, -(_8126 = _8081)], theory(equality)).
% 0.36/1.41  
% 0.36/1.41  cnf('1',plain,[vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))],start(1)).
% 0.36/1.41  cnf('1.1',plain,[-(vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))), vmul(vd436, vd437) = vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436) = vmul(vd436, vsucc(vd439))],extension(4,bind([[_10728, _10795, _10861, _10926], [vmul(vd436, vd437), vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436), vmul(vd436, vsucc(vd439))]]))).
% 0.36/1.41  cnf('1.1.1',plain,[-(vmul(vd436, vd437) = vmul(vd436, vd437)), vd436 = vd436, vd437 = vd437],extension(3,bind([[_10104, _10171, _10237, _10302], [vd436, vd436, vd437, vd437]]))).
% 0.36/1.41  cnf('1.1.1.1',plain,[-(vd436 = vd436)],extension(5,bind([[_7928], [vd436]]))).
% 0.36/1.41  cnf('1.1.1.2',plain,[-(vd437 = vd437)],extension(5,bind([[_7928], [vd437]]))).
% 0.36/1.41  cnf('1.1.2',plain,[-(vplus(vmul(vd436, vd439), vd436) = vmul(vd436, vsucc(vd439))), vmul(vd436, vsucc(vd439)) = vplus(vmul(vd436, vd439), vd436)],extension(6,bind([[_8081, _8126], [vmul(vd436, vsucc(vd439)), vplus(vmul(vd436, vd439), vd436)]]))).
% 0.36/1.41  cnf('1.1.2.1',plain,[-(vmul(vd436, vsucc(vd439)) = vplus(vmul(vd436, vd439), vd436))],extension(2,bind([[_14504, _14445], [vd439, vd436]]))).
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.42  
% 0.36/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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