TSTP Solution File: ROB004-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ROB004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue Apr 30 14:53:42 EDT 2024
% Result : Unsatisfiable 79.64s 11.70s
% Output : Refutation 79.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 7
% Syntax : Number of formulae : 136 ( 136 unt; 0 def)
% Number of atoms : 136 ( 135 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 201 ( 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288735,plain,
$false,
inference(subsumption_resolution,[],[f286953,f5186]) ).
fof(f5186,plain,
! [X0] : negate(negate(X0)) = X0,
inference(superposition,[],[f2408,f5119]) ).
fof(f5119,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f5009,f2408]) ).
fof(f5009,plain,
! [X0] : add(X0,X0) = negate(negate(add(X0,X0))),
inference(superposition,[],[f2575,f3191]) ).
fof(f3191,plain,
! [X0] : add(X0,X0) = add(X0,add(X0,X0)),
inference(forward_demodulation,[],[f3190,f2439]) ).
fof(f2439,plain,
! [X0,X1] : add(X0,X1) = negate(negate(add(X1,add(X0,add(X0,X1))))),
inference(forward_demodulation,[],[f2416,f456]) ).
fof(f456,plain,
! [X2,X0,X1] : add(X1,add(X0,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f78,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f78,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[],[f12,f2]) ).
fof(f12,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f2416,plain,
! [X0,X1] : add(X0,X1) = negate(negate(add(X1,add(add(X0,X1),X0)))),
inference(superposition,[],[f2408,f18]) ).
fof(f3190,plain,
! [X0] : add(X0,add(X0,X0)) = negate(negate(add(X0,add(X0,add(X0,X0))))),
inference(forward_demodulation,[],[f3114,f1]) ).
fof(f3114,plain,
! [X0] : add(X0,add(X0,X0)) = negate(negate(add(add(X0,add(X0,X0)),X0))),
inference(superposition,[],[f2413,f2994]) ).
fof(f2994,plain,
! [X0] : negate(negate(add(X0,add(X0,X0)))) = X0,
inference(forward_demodulation,[],[f2993,f1872]) ).
fof(f1872,plain,
! [X0] : add(c,X0) = X0,
inference(forward_demodulation,[],[f1871,f1761]) ).
fof(f1761,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(c,X0)))) = X0,
inference(superposition,[],[f1691,f1]) ).
fof(f1691,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(X0,c)))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
negate(d) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',negate_d_is_c) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f1871,plain,
! [X0] : add(c,X0) = negate(add(negate(add(X0,d)),negate(add(c,X0)))),
inference(forward_demodulation,[],[f1870,f17]) ).
fof(f17,plain,
! [X0] : add(c,X0) = add(c,add(c,X0)),
inference(superposition,[],[f2,f6]) ).
fof(f6,axiom,
c = add(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_c_is_c) ).
fof(f1870,plain,
! [X0] : add(c,X0) = negate(add(negate(add(X0,d)),negate(add(c,add(c,X0))))),
inference(forward_demodulation,[],[f1834,f1]) ).
fof(f1834,plain,
! [X0] : add(c,X0) = negate(add(negate(add(X0,d)),negate(add(add(c,X0),c)))),
inference(superposition,[],[f1752,f121]) ).
fof(f121,plain,
! [X0] : add(d,add(c,X0)) = add(X0,d),
inference(superposition,[],[f18,f25]) ).
fof(f25,plain,
! [X0] : add(X0,d) = add(c,add(X0,d)),
inference(superposition,[],[f16,f1]) ).
fof(f16,plain,
! [X0] : add(d,X0) = add(c,add(d,X0)),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
d = add(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_d_is_d) ).
fof(f1752,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(add(X0,c)))) = X0,
inference(superposition,[],[f1691,f1]) ).
fof(f2993,plain,
! [X0] : negate(add(c,negate(add(X0,add(X0,X0))))) = X0,
inference(forward_demodulation,[],[f2948,f1]) ).
fof(f2948,plain,
! [X0] : negate(add(negate(add(X0,add(X0,X0))),c)) = X0,
inference(superposition,[],[f3,f2453]) ).
fof(f2453,plain,
! [X0] : c = negate(add(X0,negate(add(X0,X0)))),
inference(forward_demodulation,[],[f2435,f1]) ).
fof(f2435,plain,
! [X0] : c = negate(add(negate(add(X0,X0)),X0)),
inference(superposition,[],[f2060,f2408]) ).
fof(f2060,plain,
! [X0] : c = negate(add(negate(X0),negate(negate(X0)))),
inference(forward_demodulation,[],[f2017,f1872]) ).
fof(f2017,plain,
! [X0] : c = negate(add(negate(X0),negate(add(c,negate(X0))))),
inference(superposition,[],[f3,f1872]) ).
fof(f2413,plain,
! [X0] : negate(negate(add(X0,negate(negate(X0))))) = X0,
inference(forward_demodulation,[],[f2364,f1872]) ).
fof(f2364,plain,
! [X0] : negate(add(c,negate(add(X0,negate(negate(X0)))))) = X0,
inference(superposition,[],[f3,f2310]) ).
fof(f2310,plain,
! [X0] : c = negate(add(X0,negate(X0))),
inference(superposition,[],[f2060,f3]) ).
fof(f2575,plain,
! [X0] : add(X0,X0) = negate(negate(add(X0,add(X0,X0)))),
inference(forward_demodulation,[],[f2478,f1]) ).
fof(f2478,plain,
! [X0] : add(X0,X0) = negate(negate(add(add(X0,X0),X0))),
inference(superposition,[],[f2413,f2408]) ).
fof(f2408,plain,
! [X0] : negate(negate(add(X0,X0))) = X0,
inference(forward_demodulation,[],[f2407,f1872]) ).
fof(f2407,plain,
! [X0] : negate(add(c,negate(add(X0,X0)))) = X0,
inference(forward_demodulation,[],[f2362,f1]) ).
fof(f2362,plain,
! [X0] : negate(add(negate(add(X0,X0)),c)) = X0,
inference(superposition,[],[f3,f2310]) ).
fof(f286953,plain,
b != negate(negate(b)),
inference(superposition,[],[f7,f78147]) ).
fof(f78147,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(negate(X1),X0))),
inference(forward_demodulation,[],[f77698,f27700]) ).
fof(f27700,plain,
! [X2,X0] : negate(X2) = add(negate(X2),negate(add(X0,X2))),
inference(superposition,[],[f26458,f3]) ).
fof(f26458,plain,
! [X0,X1] : negate(X0) = add(negate(X0),negate(add(negate(X1),X0))),
inference(forward_demodulation,[],[f26457,f26446]) ).
fof(f26446,plain,
! [X0,X1] : negate(X0) = add(negate(add(X0,X1)),negate(add(negate(X1),X0))),
inference(forward_demodulation,[],[f26445,f1879]) ).
fof(f1879,plain,
! [X0] : add(X0,c) = X0,
inference(forward_demodulation,[],[f1878,f1691]) ).
fof(f1878,plain,
! [X0] : add(X0,c) = negate(add(negate(add(X0,d)),negate(add(X0,c)))),
inference(forward_demodulation,[],[f1877,f33]) ).
fof(f33,plain,
! [X0] : add(X0,c) = add(c,add(X0,c)),
inference(superposition,[],[f17,f1]) ).
fof(f1877,plain,
! [X0] : add(X0,c) = negate(add(negate(add(X0,d)),negate(add(c,add(X0,c))))),
inference(forward_demodulation,[],[f1836,f1]) ).
fof(f1836,plain,
! [X0] : add(X0,c) = negate(add(negate(add(X0,d)),negate(add(add(X0,c),c)))),
inference(superposition,[],[f1752,f107]) ).
fof(f107,plain,
! [X0] : add(X0,d) = add(d,add(X0,c)),
inference(superposition,[],[f18,f5]) ).
fof(f26445,plain,
! [X0,X1] : negate(add(X0,c)) = add(negate(add(X0,X1)),negate(add(negate(X1),X0))),
inference(forward_demodulation,[],[f26444,f4]) ).
fof(f26444,plain,
! [X0,X1] : negate(add(X0,negate(d))) = add(negate(add(X0,X1)),negate(add(negate(X1),X0))),
inference(forward_demodulation,[],[f25685,f5923]) ).
fof(f5923,plain,
! [X0] : d = add(d,X0),
inference(superposition,[],[f5758,f1]) ).
fof(f5758,plain,
! [X0] : d = add(X0,d),
inference(superposition,[],[f5192,f5347]) ).
fof(f5347,plain,
! [X0] : d = add(X0,negate(X0)),
inference(forward_demodulation,[],[f5295,f2053]) ).
fof(f2053,plain,
d = negate(c),
inference(forward_demodulation,[],[f2009,f1894]) ).
fof(f1894,plain,
c = negate(add(d,negate(c))),
inference(forward_demodulation,[],[f1893,f4]) ).
fof(f1893,plain,
negate(d) = negate(add(d,negate(c))),
inference(forward_demodulation,[],[f1892,f1715]) ).
fof(f1715,plain,
d = negate(add(c,negate(add(d,negate(c))))),
inference(forward_demodulation,[],[f1675,f4]) ).
fof(f1675,plain,
d = negate(add(negate(d),negate(add(d,negate(c))))),
inference(superposition,[],[f3,f8]) ).
fof(f8,plain,
d = add(d,c),
inference(superposition,[],[f1,f5]) ).
fof(f1892,plain,
negate(add(d,negate(c))) = negate(negate(add(c,negate(add(d,negate(c)))))),
inference(forward_demodulation,[],[f1891,f1]) ).
fof(f1891,plain,
negate(add(d,negate(c))) = negate(negate(add(negate(add(d,negate(c))),c))),
inference(forward_demodulation,[],[f1848,f1872]) ).
fof(f1848,plain,
negate(add(d,negate(c))) = negate(add(c,negate(add(negate(add(d,negate(c))),c)))),
inference(superposition,[],[f1752,f1739]) ).
fof(f1739,plain,
c = negate(add(d,negate(add(d,negate(c))))),
inference(forward_demodulation,[],[f1738,f16]) ).
fof(f1738,plain,
c = negate(add(d,negate(add(c,add(d,negate(c)))))),
inference(forward_demodulation,[],[f1735,f1]) ).
fof(f1735,plain,
c = negate(add(negate(add(c,add(d,negate(c)))),d)),
inference(superposition,[],[f3,f1715]) ).
fof(f2009,plain,
d = negate(negate(add(d,negate(c)))),
inference(superposition,[],[f1715,f1872]) ).
fof(f5295,plain,
! [X0] : negate(c) = add(X0,negate(X0)),
inference(superposition,[],[f5186,f2310]) ).
fof(f5192,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(superposition,[],[f2,f5119]) ).
fof(f25685,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(negate(X1),X0))) = negate(add(X0,negate(add(d,add(negate(add(X0,X1)),negate(add(negate(X1),X0))))))),
inference(superposition,[],[f1876,f1693]) ).
fof(f1693,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1876,plain,
! [X0] : negate(add(negate(X0),negate(add(d,X0)))) = X0,
inference(forward_demodulation,[],[f1875,f1]) ).
fof(f1875,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(X0))) = X0,
inference(forward_demodulation,[],[f1874,f1872]) ).
fof(f1874,plain,
! [X0] : add(c,X0) = negate(add(negate(add(d,X0)),negate(add(c,X0)))),
inference(forward_demodulation,[],[f1873,f17]) ).
fof(f1873,plain,
! [X0] : add(c,X0) = negate(add(negate(add(d,X0)),negate(add(c,add(c,X0))))),
inference(forward_demodulation,[],[f1835,f1]) ).
fof(f1835,plain,
! [X0] : add(c,X0) = negate(add(negate(add(d,X0)),negate(add(add(c,X0),c)))),
inference(superposition,[],[f1752,f15]) ).
fof(f15,plain,
! [X0] : add(d,add(c,X0)) = add(d,X0),
inference(superposition,[],[f2,f8]) ).
fof(f26457,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(negate(X1),X0))) = add(negate(X0),negate(add(negate(X1),X0))),
inference(forward_demodulation,[],[f26456,f1]) ).
fof(f26456,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(negate(X1),X0))) = add(negate(add(negate(X1),X0)),negate(X0)),
inference(forward_demodulation,[],[f26455,f25836]) ).
fof(f25836,plain,
! [X2,X0,X1] : add(X0,negate(X1)) = negate(negate(add(negate(X1),add(negate(add(X1,X2)),X0)))),
inference(forward_demodulation,[],[f25835,f1872]) ).
fof(f25835,plain,
! [X2,X0,X1] : add(X0,negate(X1)) = negate(add(c,negate(add(negate(X1),add(negate(add(X1,X2)),X0))))),
inference(forward_demodulation,[],[f25834,f4]) ).
fof(f25834,plain,
! [X2,X0,X1] : add(X0,negate(X1)) = negate(add(negate(d),negate(add(negate(X1),add(negate(add(X1,X2)),X0))))),
inference(forward_demodulation,[],[f25495,f8108]) ).
fof(f8108,plain,
! [X2,X0,X1] : negate(add(X2,add(X0,X1))) = negate(add(X1,add(X2,X0))),
inference(forward_demodulation,[],[f7992,f2]) ).
fof(f7992,plain,
! [X2,X0,X1] : negate(add(X2,add(X0,X1))) = negate(add(add(X1,X2),X0)),
inference(superposition,[],[f7283,f18]) ).
fof(f7283,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X1,X0)),
inference(forward_demodulation,[],[f7282,f1879]) ).
fof(f7282,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X1,add(X0,c))),
inference(forward_demodulation,[],[f7281,f4]) ).
fof(f7281,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X1,add(X0,negate(d)))),
inference(forward_demodulation,[],[f7280,f5923]) ).
fof(f7280,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X1,add(X0,negate(add(d,negate(add(X0,X1))))))),
inference(forward_demodulation,[],[f7183,f2]) ).
fof(f7183,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(add(X1,X0),negate(add(d,negate(add(X0,X1)))))),
inference(superposition,[],[f1876,f6407]) ).
fof(f6407,plain,
! [X0,X1] : add(X0,X1) = negate(negate(add(X1,X0))),
inference(forward_demodulation,[],[f6406,f1872]) ).
fof(f6406,plain,
! [X0,X1] : add(X0,X1) = negate(add(c,negate(add(X1,X0)))),
inference(forward_demodulation,[],[f6405,f4]) ).
fof(f6405,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(d),negate(add(X1,X0)))),
inference(forward_demodulation,[],[f6404,f1]) ).
fof(f6404,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X1,X0)),negate(d))),
inference(forward_demodulation,[],[f6403,f5758]) ).
fof(f6403,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X1,X0)),negate(add(X1,d)))),
inference(forward_demodulation,[],[f6402,f5433]) ).
fof(f5433,plain,
! [X0,X1] : add(X1,d) = add(X0,add(X1,negate(X0))),
inference(superposition,[],[f78,f5347]) ).
fof(f6402,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X1,X0)),negate(add(X0,add(X1,negate(X0)))))),
inference(forward_demodulation,[],[f6401,f18]) ).
fof(f6401,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X1,X0)),negate(add(negate(X0),add(X0,X1))))),
inference(forward_demodulation,[],[f6318,f1]) ).
fof(f6318,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X1,X0)),negate(add(add(X0,X1),negate(X0))))),
inference(superposition,[],[f1655,f5195]) ).
fof(f5195,plain,
! [X0,X1] : add(X1,X0) = add(X0,add(X0,X1)),
inference(superposition,[],[f18,f5119]) ).
fof(f1655,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X0,negate(X1))))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f25495,plain,
! [X2,X0,X1] : add(X0,negate(X1)) = negate(add(negate(d),negate(add(negate(add(X1,X2)),add(X0,negate(X1)))))),
inference(superposition,[],[f1693,f11078]) ).
fof(f11078,plain,
! [X2,X0,X1] : d = add(add(X1,negate(X0)),add(X0,X2)),
inference(forward_demodulation,[],[f10952,f5923]) ).
fof(f10952,plain,
! [X2,X0,X1] : add(d,X2) = add(add(X1,negate(X0)),add(X0,X2)),
inference(superposition,[],[f12,f10435]) ).
fof(f10435,plain,
! [X0,X1] : d = add(X0,add(X1,negate(X0))),
inference(forward_demodulation,[],[f10269,f5923]) ).
fof(f10269,plain,
! [X0,X1] : add(X0,add(X1,negate(X0))) = add(d,add(X1,negate(X0))),
inference(superposition,[],[f5428,f5196]) ).
fof(f5196,plain,
! [X0,X1] : add(X1,X0) = add(X0,add(X1,X0)),
inference(superposition,[],[f18,f5119]) ).
fof(f5428,plain,
! [X0,X1] : add(d,X1) = add(X0,add(negate(X0),X1)),
inference(superposition,[],[f2,f5347]) ).
fof(f26455,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(negate(X1),X0))) = negate(negate(add(negate(X0),add(negate(add(X0,X1)),negate(add(negate(X1),X0)))))),
inference(forward_demodulation,[],[f25691,f7283]) ).
fof(f25691,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(negate(X1),X0))) = negate(negate(add(add(negate(add(X0,X1)),negate(add(negate(X1),X0))),negate(X0)))),
inference(superposition,[],[f2413,f1693]) ).
fof(f77698,plain,
! [X0,X1] : add(negate(add(X1,X0)),negate(add(negate(X1),X0))) = add(negate(X0),negate(add(X1,X0))),
inference(superposition,[],[f75432,f75432]) ).
fof(f75432,plain,
! [X0,X1] : add(negate(X1),X0) = add(X0,negate(add(X1,X0))),
inference(forward_demodulation,[],[f75011,f5898]) ).
fof(f5898,plain,
! [X0,X1] : add(X1,X0) = add(add(X0,X1),X0),
inference(forward_demodulation,[],[f5835,f1934]) ).
fof(f1934,plain,
! [X0,X1] : add(X0,X1) = add(c,add(X1,X0)),
inference(superposition,[],[f1879,f1039]) ).
fof(f1039,plain,
! [X2,X0,X1] : add(add(X1,X2),X0) = add(X0,add(X2,X1)),
inference(superposition,[],[f456,f1]) ).
fof(f5835,plain,
! [X0,X1] : add(c,add(X0,X1)) = add(add(X0,X1),X0),
inference(superposition,[],[f1934,f5192]) ).
fof(f75011,plain,
! [X0,X1] : add(X0,negate(add(X1,X0))) = add(add(X0,negate(X1)),X0),
inference(superposition,[],[f74764,f74764]) ).
fof(f74764,plain,
! [X0,X1] : add(X1,X0) = add(X0,negate(add(X0,negate(X1)))),
inference(forward_demodulation,[],[f74763,f28269]) ).
fof(f28269,plain,
! [X2,X0,X1] : add(X2,negate(X0)) = add(negate(X0),add(X2,negate(add(X1,X0)))),
inference(superposition,[],[f78,f27700]) ).
fof(f74763,plain,
! [X0,X1] : add(X1,X0) = add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))),
inference(forward_demodulation,[],[f74762,f6407]) ).
fof(f74762,plain,
! [X0,X1] : add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))) = negate(negate(add(X0,X1))),
inference(forward_demodulation,[],[f74761,f1872]) ).
fof(f74761,plain,
! [X0,X1] : add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))) = negate(add(c,negate(add(X0,X1)))),
inference(forward_demodulation,[],[f74760,f4]) ).
fof(f74760,plain,
! [X0,X1] : add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))) = negate(add(negate(d),negate(add(X0,X1)))),
inference(forward_demodulation,[],[f74759,f7283]) ).
fof(f74759,plain,
! [X0,X1] : add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))) = negate(add(negate(add(X0,X1)),negate(d))),
inference(forward_demodulation,[],[f73686,f5923]) ).
fof(f73686,plain,
! [X0,X1] : add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))) = negate(add(negate(add(X0,X1)),negate(add(d,add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1)))))))))),
inference(superposition,[],[f1876,f1728]) ).
fof(f1728,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(X1),add(X0,negate(add(X0,X1))))))),
inference(forward_demodulation,[],[f1727,f456]) ).
fof(f1727,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(X1),add(negate(add(X0,X1)),X0))))),
inference(forward_demodulation,[],[f1726,f18]) ).
fof(f1726,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(add(X0,X1)),add(X0,negate(X1)))))),
inference(forward_demodulation,[],[f1700,f1]) ).
fof(f1700,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(negate(add(negate(add(X0,X1)),add(X0,negate(X1)))),X0)),
inference(superposition,[],[f3,f3]) ).
fof(f7,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ROB004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 03:44:01 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7264)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7267)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7265)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (7266)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (7268)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (7267)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (7269)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (7270)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (7271)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.22/0.42 TRYING [4]
% 0.22/0.49 TRYING [6]
% 2.58/0.71 TRYING [5]
% 2.58/0.76 TRYING [7]
% 7.89/1.48 TRYING [1]
% 7.89/1.48 TRYING [2]
% 7.89/1.48 TRYING [3]
% 7.89/1.48 TRYING [4]
% 7.89/1.49 TRYING [5]
% 8.34/1.54 TRYING [6]
% 10.12/1.81 TRYING [7]
% 17.99/2.96 TRYING [8]
% 23.57/3.77 TRYING [8]
% 62.01/9.24 TRYING [6]
% 79.64/11.69 % (7271)First to succeed.
% 79.64/11.70 % (7271)Refutation found. Thanks to Tanya!
% 79.64/11.70 % SZS status Unsatisfiable for theBenchmark
% 79.64/11.70 % SZS output start Proof for theBenchmark
% See solution above
% 79.64/11.70 % (7271)------------------------------
% 79.64/11.70 % (7271)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 79.64/11.70 % (7271)Termination reason: Refutation
% 79.64/11.70
% 79.64/11.70 % (7271)Memory used [KB]: 188417
% 79.64/11.70 % (7271)Time elapsed: 11.313 s
% 79.64/11.70 % (7271)Instructions burned: 43040 (million)
% 79.64/11.70 % (7271)------------------------------
% 79.64/11.70 % (7271)------------------------------
% 79.64/11.70 % (7264)Success in time 11.221 s
%------------------------------------------------------------------------------