TSTP Solution File: NUM848+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM848+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n028.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 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM848+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n028.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  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 10:48:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.35/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  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)')).
% 0.35/1.41  fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))', axiom, ! [_64821, _64824] : (vmul(_64821, vsucc(_64824)) = vplus(vmul(_64821, _64824), _64821) & vmul(_64821, v1) = _64821), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.35/1.41  
% 0.35/1.41  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)')).
% 0.35/1.41  cnf(2, plain, [-(vmul(_25814, _25947) = vmul(_25881, _26012)), _25814 = _25881, _25947 = _26012], theory(equality)).
% 0.35/1.41  cnf(3, plain, [-(vplus(_26438, _26571) = vplus(_26505, _26636)), _26438 = _26505, _26571 = _26636], theory(equality)).
% 0.35/1.41  cnf(4, plain, [-(_22360 = _22360)], theory(equality)).
% 0.35/1.41  cnf(5, plain, [_22513 = _22558, -(_22558 = _22513)], theory(equality)).
% 0.35/1.41  cnf(6, plain, [-(vmul(_31312, vsucc(_31371)) = vplus(vmul(_31312, _31371), _31312))], clausify('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))],start(1)).
% 0.35/1.41  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(3,bind([[_26438, _26505, _26571, _26636], [vmul(vd436, vd437), vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436), vmul(vd436, vsucc(vd439))]]))).
% 0.35/1.41  cnf('1.1.1',plain,[-(vmul(vd436, vd437) = vmul(vd436, vd437)), vd436 = vd436, vd437 = vd437],extension(2,bind([[_25814, _25881, _25947, _26012], [vd436, vd436, vd437, vd437]]))).
% 0.35/1.41  cnf('1.1.1.1',plain,[-(vd436 = vd436)],extension(4,bind([[_22360], [vd436]]))).
% 0.35/1.41  cnf('1.1.1.2',plain,[-(vd437 = vd437)],extension(4,bind([[_22360], [vd437]]))).
% 0.35/1.41  cnf('1.1.2',plain,[-(vplus(vmul(vd436, vd439), vd436) = vmul(vd436, vsucc(vd439))), vmul(vd436, vsucc(vd439)) = vplus(vmul(vd436, vd439), vd436)],extension(5,bind([[_22513, _22558], [vmul(vd436, vsucc(vd439)), vplus(vmul(vd436, vd439), vd436)]]))).
% 0.35/1.41  cnf('1.1.2.1',plain,[-(vmul(vd436, vsucc(vd439)) = vplus(vmul(vd436, vd439), vd436))],extension(6,bind([[_31371, _31312], [vd439, vd436]]))).
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------