TSTP Solution File: GRP777-10 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP777-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Mon May 20 21:33:08 EDT 2024
% Result : Unsatisfiable 4.61s 1.03s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 10
% Syntax : Number of formulae : 216 ( 216 unt; 0 def)
% Number of atoms : 216 ( 215 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 438 ( 438 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15659,plain,
$false,
inference(trivial_inequality_removal,[],[f15658]) ).
fof(f15658,plain,
bigC(c,c,x0) != bigC(c,c,x0),
inference(superposition,[],[f15623,f12525]) ).
fof(f12525,plain,
! [X2,X0,X1] : bigC(X0,X2,X1) = bigC(X2,X1,X0),
inference(superposition,[],[f12092,f314]) ).
fof(f314,plain,
! [X2,X0,X1] : bigC(X0,X1,X2) = product(product(X0,X2),product(X1,X0)),
inference(superposition,[],[f5,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : bigC(X0,X1,X2) = product(product(X0,X1),product(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos08) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : product(product(X0,X1),product(X2,X3)) = product(product(X0,X2),product(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f12092,plain,
! [X2,X0,X1] : product(product(X1,X2),product(X0,X1)) = bigC(X0,X2,X1),
inference(superposition,[],[f9539,f3]) ).
fof(f3,axiom,
! [X0,X1] : quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f9539,plain,
! [X2,X0,X1] : product(product(X1,X2),X0) = bigC(quotient(X0,X1),X2,X1),
inference(backward_demodulation,[],[f410,f9449]) ).
fof(f9449,plain,
! [X2,X0,X1] : product(product(X0,X2),X1) = product(X1,product(X2,quotient(X1,X0))),
inference(superposition,[],[f295,f1928]) ).
fof(f1928,plain,
! [X0,X1] : product(difference(X0,X1),quotient(X1,X0)) = X1,
inference(superposition,[],[f2,f1908]) ).
fof(f1908,plain,
! [X0,X1] : quotient(X1,X0) = difference(difference(X0,X1),X1),
inference(forward_demodulation,[],[f1907,f2]) ).
fof(f1907,plain,
! [X0,X1] : difference(difference(X0,X1),X1) = product(X0,difference(X0,quotient(X1,X0))),
inference(forward_demodulation,[],[f1898,f922]) ).
fof(f922,plain,
! [X0,X1] : difference(X1,X0) = product(difference(X1,quotient(X0,X1)),X1),
inference(superposition,[],[f626,f4]) ).
fof(f4,axiom,
! [X0,X1] : product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f626,plain,
! [X0,X1] : product(difference(X0,X1),X0) = difference(X0,product(X1,X0)),
inference(superposition,[],[f54,f468]) ).
fof(f468,plain,
! [X0,X1] : product(X1,X0) = bigC(X0,X0,difference(X0,X1)),
inference(superposition,[],[f429,f59]) ).
fof(f59,plain,
! [X0,X1] : product(X1,X0) = bigC(X0,difference(X0,X1),X0),
inference(superposition,[],[f34,f2]) ).
fof(f34,plain,
! [X0,X1] : bigC(X0,X1,X0) = product(product(X0,X1),X0),
inference(superposition,[],[f8,f6]) ).
fof(f6,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).
fof(f429,plain,
! [X2,X0,X1] : bigC(X0,X1,X2) = bigC(X0,X2,X1),
inference(superposition,[],[f314,f8]) ).
fof(f54,plain,
! [X0,X1] : product(X1,X0) = difference(X0,bigC(X0,X0,X1)),
inference(superposition,[],[f1,f29]) ).
fof(f29,plain,
! [X0,X1] : bigC(X0,X0,X1) = product(X0,product(X1,X0)),
inference(superposition,[],[f8,f6]) ).
fof(f1,axiom,
! [X0,X1] : difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f1898,plain,
! [X0,X1] : product(X0,difference(X0,quotient(X1,X0))) = difference(product(difference(X0,quotient(X1,X0)),X0),X1),
inference(superposition,[],[f42,f1802]) ).
fof(f1802,plain,
! [X0,X1] : bigC(difference(X0,quotient(X1,X0)),X0,X0) = X1,
inference(forward_demodulation,[],[f1759,f2]) ).
fof(f1759,plain,
! [X0,X1] : product(X0,difference(X0,X1)) = bigC(difference(X0,quotient(X1,X0)),X0,X0),
inference(superposition,[],[f1094,f922]) ).
fof(f1094,plain,
! [X0,X1] : product(X0,product(X1,X0)) = bigC(X1,X0,X0),
inference(superposition,[],[f2,f1080]) ).
fof(f1080,plain,
! [X0,X1] : product(X0,X1) = difference(X1,bigC(X0,X1,X1)),
inference(forward_demodulation,[],[f1079,f8]) ).
fof(f1079,plain,
! [X0,X1] : product(X0,X1) = difference(X1,product(product(X0,X1),product(X1,X0))),
inference(forward_demodulation,[],[f1075,f6]) ).
fof(f1075,plain,
! [X0,X1] : product(X0,X1) = difference(X1,product(product(X0,X1),product(X1,product(X0,X0)))),
inference(backward_demodulation,[],[f870,f1074]) ).
fof(f1074,plain,
! [X2,X0,X1] : bigC(X0,X2,product(X0,quotient(X1,X0))) = product(X0,product(X2,X1)),
inference(forward_demodulation,[],[f1056,f294]) ).
fof(f294,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(X0,X1),product(X0,X2)),
inference(superposition,[],[f5,f6]) ).
fof(f1056,plain,
! [X2,X0,X1] : product(product(X0,X2),product(X0,X1)) = bigC(X0,X2,product(X0,quotient(X1,X0))),
inference(superposition,[],[f36,f881]) ).
fof(f881,plain,
! [X0,X1] : product(X0,quotient(X1,X0)) = quotient(product(X0,X1),X0),
inference(superposition,[],[f479,f48]) ).
fof(f48,plain,
! [X0,X1] : product(X1,X0) = bigC(X1,X1,quotient(X0,X1)),
inference(superposition,[],[f29,f4]) ).
fof(f479,plain,
! [X0,X1] : product(X0,X1) = quotient(bigC(X0,X0,X1),X0),
inference(superposition,[],[f68,f429]) ).
fof(f68,plain,
! [X0,X1] : product(X0,X1) = quotient(bigC(X0,X1,X0),X0),
inference(superposition,[],[f3,f34]) ).
fof(f36,plain,
! [X2,X0,X1] : bigC(X1,X2,quotient(X0,X1)) = product(product(X1,X2),X0),
inference(superposition,[],[f8,f4]) ).
fof(f870,plain,
! [X0,X1] : product(X0,X1) = difference(X1,product(product(X0,X1),bigC(X1,X0,product(X1,quotient(X0,X1))))),
inference(forward_demodulation,[],[f869,f429]) ).
fof(f869,plain,
! [X0,X1] : product(X0,X1) = difference(X1,product(product(X0,X1),bigC(X1,product(X1,quotient(X0,X1)),X0))),
inference(forward_demodulation,[],[f868,f50]) ).
fof(f50,plain,
! [X2,X0,X1] : bigC(product(X2,X0),product(X2,X0),product(X0,X1)) = product(product(X2,X0),bigC(X0,X1,X2)),
inference(superposition,[],[f29,f8]) ).
fof(f868,plain,
! [X0,X1] : product(X0,X1) = difference(X1,bigC(product(X0,X1),product(X0,X1),product(X1,product(X1,quotient(X0,X1))))),
inference(forward_demodulation,[],[f794,f429]) ).
fof(f794,plain,
! [X0,X1] : product(X0,X1) = difference(X1,bigC(product(X0,X1),product(X1,product(X1,quotient(X0,X1))),product(X0,X1))),
inference(superposition,[],[f69,f105]) ).
fof(f105,plain,
! [X0,X1] : product(product(X0,X1),product(X1,product(X1,quotient(X0,X1)))) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] : product(product(product(X0,X1),X1),product(X1,product(X1,X0))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).
fof(f69,plain,
! [X0,X1] : difference(product(X0,X1),bigC(X0,X1,X0)) = X0,
inference(superposition,[],[f1,f34]) ).
fof(f42,plain,
! [X2,X0,X1] : product(X2,X0) = difference(product(X0,X1),bigC(X0,X1,X2)),
inference(superposition,[],[f1,f8]) ).
fof(f2,axiom,
! [X0,X1] : product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f295,plain,
! [X2,X3,X0,X1] : product(product(X0,X2),product(difference(X0,X1),X3)) = product(X1,product(X2,X3)),
inference(superposition,[],[f5,f2]) ).
fof(f410,plain,
! [X2,X0,X1] : product(X0,product(X2,quotient(X0,X1))) = bigC(quotient(X0,X1),X2,X1),
inference(superposition,[],[f314,f4]) ).
fof(f15623,plain,
bigC(c,c,x0) != bigC(c,x0,c),
inference(superposition,[],[f10,f14227]) ).
fof(f14227,plain,
! [X0] : bigC(a,b,X0) = bigC(c,X0,c),
inference(forward_demodulation,[],[f14226,f34]) ).
fof(f14226,plain,
! [X0] : product(product(c,X0),c) = bigC(a,b,X0),
inference(forward_demodulation,[],[f14088,f8]) ).
fof(f14088,plain,
! [X0] : product(product(c,X0),c) = product(product(a,b),product(X0,a)),
inference(superposition,[],[f307,f13788]) ).
fof(f13788,plain,
product(a,b) = product(c,quotient(c,a)),
inference(superposition,[],[f13783,f5098]) ).
fof(f5098,plain,
! [X0,X1] : product(X0,quotient(X0,X1)) = quotient(X0,product(X0,X1)),
inference(superposition,[],[f3,f4296]) ).
fof(f4296,plain,
! [X0,X1] : product(product(X0,quotient(X0,X1)),product(X0,X1)) = X0,
inference(backward_demodulation,[],[f2936,f4283]) ).
fof(f4283,plain,
! [X0,X1] : product(X0,quotient(X0,X1)) = product(product(X1,quotient(X0,X1)),X0),
inference(forward_demodulation,[],[f4282,f2513]) ).
fof(f2513,plain,
! [X0,X1] : product(X1,quotient(X1,X0)) = product(quotient(X1,X0),product(difference(X1,X0),X1)),
inference(forward_demodulation,[],[f2512,f555]) ).
fof(f555,plain,
! [X0,X1] : product(X0,quotient(X0,X1)) = bigC(quotient(X0,X1),quotient(X0,X1),X1),
inference(superposition,[],[f418,f4]) ).
fof(f418,plain,
! [X0,X1] : bigC(X0,X0,X1) = product(product(X0,X1),X0),
inference(superposition,[],[f314,f6]) ).
fof(f2512,plain,
! [X0,X1] : bigC(quotient(X1,X0),quotient(X1,X0),X0) = product(quotient(X1,X0),product(difference(X1,X0),X1)),
inference(forward_demodulation,[],[f2446,f626]) ).
fof(f2446,plain,
! [X0,X1] : bigC(quotient(X1,X0),quotient(X1,X0),X0) = product(quotient(X1,X0),difference(X1,product(X0,X1))),
inference(superposition,[],[f29,f1428]) ).
fof(f1428,plain,
! [X0,X1] : product(X1,quotient(X0,X1)) = difference(X0,product(X1,X0)),
inference(forward_demodulation,[],[f1421,f4]) ).
fof(f1421,plain,
! [X0,X1] : product(X1,quotient(X0,X1)) = difference(product(quotient(X0,X1),X1),product(X1,X0)),
inference(superposition,[],[f42,f1280]) ).
fof(f1280,plain,
! [X0,X1] : product(X1,X0) = bigC(quotient(X0,X1),X1,X1),
inference(superposition,[],[f1094,f4]) ).
fof(f4282,plain,
! [X0,X1] : product(product(X1,quotient(X0,X1)),X0) = product(quotient(X0,X1),product(difference(X0,X1),X0)),
inference(forward_demodulation,[],[f4183,f2510]) ).
fof(f2510,plain,
! [X2,X0,X1] : product(product(X0,X2),X1) = product(product(difference(X1,X0),X1),product(X2,X0)),
inference(forward_demodulation,[],[f2509,f421]) ).
fof(f421,plain,
! [X2,X0,X1] : product(product(X1,X2),X0) = bigC(X1,quotient(X0,X1),X2),
inference(superposition,[],[f314,f4]) ).
fof(f2509,plain,
! [X2,X0,X1] : bigC(X0,quotient(X1,X0),X2) = product(product(difference(X1,X0),X1),product(X2,X0)),
inference(forward_demodulation,[],[f2444,f626]) ).
fof(f2444,plain,
! [X2,X0,X1] : bigC(X0,quotient(X1,X0),X2) = product(difference(X1,product(X0,X1)),product(X2,X0)),
inference(superposition,[],[f8,f1428]) ).
fof(f4183,plain,
! [X0,X1] : product(quotient(X0,X1),product(difference(X0,X1),X0)) = product(product(difference(X0,X1),X0),product(quotient(X0,X1),X1)),
inference(superposition,[],[f2043,f2500]) ).
fof(f2500,plain,
! [X0,X1] : quotient(product(difference(X1,X0),X1),quotient(X1,X0)) = X0,
inference(forward_demodulation,[],[f2437,f626]) ).
fof(f2437,plain,
! [X0,X1] : quotient(difference(X1,product(X0,X1)),quotient(X1,X0)) = X0,
inference(superposition,[],[f3,f1428]) ).
fof(f2043,plain,
! [X0,X1] : product(X0,X1) = product(X1,product(X0,quotient(X1,X0))),
inference(forward_demodulation,[],[f1983,f881]) ).
fof(f1983,plain,
! [X0,X1] : product(X0,X1) = product(X1,quotient(product(X0,X1),X0)),
inference(superposition,[],[f1928,f1]) ).
fof(f2936,plain,
! [X0,X1] : product(product(product(X1,quotient(X0,X1)),X0),product(X0,X1)) = X0,
inference(forward_demodulation,[],[f2862,f2]) ).
fof(f2862,plain,
! [X0,X1] : product(product(product(X1,quotient(X0,X1)),X0),product(X0,product(X0,difference(X0,X1)))) = X0,
inference(superposition,[],[f7,f2433]) ).
fof(f2433,plain,
! [X0,X1] : product(difference(X0,X1),X0) = product(X1,quotient(X0,X1)),
inference(superposition,[],[f1428,f626]) ).
fof(f13783,plain,
product(a,b) = quotient(c,product(c,a)),
inference(backward_demodulation,[],[f13479,f13782]) ).
fof(f13782,plain,
c = product(b,product(a,quotient(c,a))),
inference(forward_demodulation,[],[f13781,f1]) ).
fof(f13781,plain,
c = product(difference(c,product(c,b)),product(a,quotient(c,a))),
inference(forward_demodulation,[],[f13780,f2433]) ).
fof(f13780,plain,
c = product(difference(c,product(c,b)),product(difference(c,a),c)),
inference(forward_demodulation,[],[f13705,f626]) ).
fof(f13705,plain,
c = product(difference(c,product(c,b)),difference(c,product(a,c))),
inference(superposition,[],[f10284,f13532]) ).
fof(f13532,plain,
product(a,c) = difference(product(c,b),c),
inference(superposition,[],[f4118,f13529]) ).
fof(f13529,plain,
product(c,b) = product(quotient(c,a),c),
inference(forward_demodulation,[],[f13528,f24]) ).
fof(f24,plain,
product(c,b) = difference(product(a,c),product(a,b)),
inference(superposition,[],[f1,f9]) ).
fof(f9,axiom,
product(product(a,c),product(c,b)) = product(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).
fof(f13528,plain,
difference(product(a,c),product(a,b)) = product(quotient(c,a),c),
inference(forward_demodulation,[],[f13527,f8921]) ).
fof(f8921,plain,
! [X0,X1] : product(quotient(X1,X0),X1) = difference(product(X0,quotient(X0,X1)),product(X0,X1)),
inference(forward_demodulation,[],[f8920,f3030]) ).
fof(f3030,plain,
! [X0,X1] : product(quotient(X0,X1),X0) = quotient(X0,product(X1,X0)),
inference(forward_demodulation,[],[f2997,f2163]) ).
fof(f2163,plain,
! [X2,X0,X1] : product(X2,X0) = difference(product(X1,X0),product(product(X1,X2),X0)),
inference(forward_demodulation,[],[f2121,f943]) ).
fof(f943,plain,
! [X2,X0,X1] : product(product(X1,X2),X0) = bigC(X0,product(difference(X0,X1),X0),X2),
inference(forward_demodulation,[],[f934,f304]) ).
fof(f304,plain,
! [X2,X0,X1] : product(product(X1,X2),X0) = product(product(X1,X0),product(X2,X0)),
inference(superposition,[],[f5,f6]) ).
fof(f934,plain,
! [X2,X0,X1] : product(product(X1,X0),product(X2,X0)) = bigC(X0,product(difference(X0,X1),X0),X2),
inference(superposition,[],[f30,f626]) ).
fof(f30,plain,
! [X2,X0,X1] : bigC(X0,difference(X0,X1),X2) = product(X1,product(X2,X0)),
inference(superposition,[],[f8,f2]) ).
fof(f2121,plain,
! [X2,X0,X1] : product(X2,X0) = difference(product(X1,X0),bigC(X0,product(difference(X0,X1),X0),X2)),
inference(superposition,[],[f42,f937]) ).
fof(f937,plain,
! [X0,X1] : product(X1,X0) = product(X0,product(difference(X0,X1),X0)),
inference(superposition,[],[f2,f626]) ).
fof(f2997,plain,
! [X0,X1] : quotient(X0,product(X1,X0)) = difference(product(X1,X0),product(product(X1,quotient(X0,X1)),X0)),
inference(superposition,[],[f2499,f1428]) ).
fof(f2499,plain,
! [X0,X1] : quotient(X1,X0) = difference(X0,product(difference(X1,X0),X1)),
inference(forward_demodulation,[],[f2436,f626]) ).
fof(f2436,plain,
! [X0,X1] : quotient(X1,X0) = difference(X0,difference(X1,product(X0,X1))),
inference(superposition,[],[f1,f1428]) ).
fof(f8920,plain,
! [X0,X1] : quotient(X1,product(X0,X1)) = difference(product(X0,quotient(X0,X1)),product(X0,X1)),
inference(forward_demodulation,[],[f8860,f5098]) ).
fof(f8860,plain,
! [X0,X1] : quotient(X1,product(X0,X1)) = difference(quotient(X0,product(X0,X1)),product(X0,X1)),
inference(superposition,[],[f5696,f1]) ).
fof(f5696,plain,
! [X0,X1] : difference(quotient(X0,X1),X1) = quotient(difference(X0,X1),X1),
inference(backward_demodulation,[],[f4146,f5695]) ).
fof(f5695,plain,
! [X0,X1] : difference(quotient(X0,X1),X1) = product(difference(X0,quotient(X1,X0)),difference(X0,X1)),
inference(forward_demodulation,[],[f5694,f1732]) ).
fof(f1732,plain,
! [X0,X1] : difference(X0,quotient(X1,X0)) = quotient(difference(X0,X1),X0),
inference(superposition,[],[f3,f922]) ).
fof(f5694,plain,
! [X0,X1] : difference(quotient(X0,X1),X1) = product(quotient(difference(X0,X1),X0),difference(X0,X1)),
inference(forward_demodulation,[],[f5693,f5526]) ).
fof(f5526,plain,
! [X0,X1] : difference(X0,X1) = product(difference(quotient(X0,X1),X1),X1),
inference(superposition,[],[f1,f4439]) ).
fof(f4439,plain,
! [X0,X1] : product(X0,product(difference(quotient(X0,X1),X1),X1)) = X1,
inference(superposition,[],[f4253,f4]) ).
fof(f4253,plain,
! [X0,X1] : product(product(X1,X0),product(difference(X1,X0),X0)) = X0,
inference(backward_demodulation,[],[f2508,f4173]) ).
fof(f4173,plain,
! [X0,X1] : product(difference(X1,X0),X0) = product(X0,product(difference(X1,X0),X1)),
inference(superposition,[],[f2043,f14]) ).
fof(f14,plain,
! [X0,X1] : quotient(X1,difference(X0,X1)) = X0,
inference(superposition,[],[f3,f2]) ).
fof(f2508,plain,
! [X0,X1] : product(product(X1,X0),product(X0,product(difference(X1,X0),X1))) = X0,
inference(forward_demodulation,[],[f2507,f4]) ).
fof(f2507,plain,
! [X0,X1] : product(product(product(quotient(X1,X0),X0),X0),product(X0,product(difference(X1,X0),X1))) = X0,
inference(forward_demodulation,[],[f2443,f626]) ).
fof(f2443,plain,
! [X0,X1] : product(product(product(quotient(X1,X0),X0),X0),product(X0,difference(X1,product(X0,X1)))) = X0,
inference(superposition,[],[f7,f1428]) ).
fof(f5693,plain,
! [X0,X1] : difference(quotient(X0,X1),X1) = product(quotient(product(difference(quotient(X0,X1),X1),X1),X0),product(difference(quotient(X0,X1),X1),X1)),
inference(forward_demodulation,[],[f5566,f3]) ).
fof(f5566,plain,
! [X0,X1] : product(quotient(product(difference(quotient(X0,X1),X1),X1),X0),product(difference(quotient(X0,X1),X1),X1)) = quotient(product(difference(quotient(X0,X1),X1),X1),X1),
inference(superposition,[],[f3030,f4439]) ).
fof(f4146,plain,
! [X0,X1] : product(difference(X0,quotient(X1,X0)),difference(X0,X1)) = quotient(difference(X0,X1),X1),
inference(forward_demodulation,[],[f4098,f1732]) ).
fof(f4098,plain,
! [X0,X1] : quotient(difference(X0,X1),X1) = product(quotient(difference(X0,X1),X0),difference(X0,X1)),
inference(superposition,[],[f3030,f2]) ).
fof(f13527,plain,
difference(product(a,c),product(a,b)) = difference(product(a,quotient(a,c)),product(a,c)),
inference(forward_demodulation,[],[f13433,f5227]) ).
fof(f5227,plain,
! [X0,X1] : product(X0,quotient(X0,X1)) = difference(product(X0,X1),product(X1,X0)),
inference(backward_demodulation,[],[f2815,f5098]) ).
fof(f2815,plain,
! [X0,X1] : quotient(X0,product(X0,X1)) = difference(product(X0,X1),product(X1,X0)),
inference(forward_demodulation,[],[f2777,f1380]) ).
fof(f1380,plain,
! [X0,X1] : product(X0,X1) = quotient(bigC(X1,X0,X1),product(X1,X0)),
inference(superposition,[],[f41,f1289]) ).
fof(f1289,plain,
! [X0,X1] : bigC(X0,X1,X0) = bigC(X1,X0,X0),
inference(superposition,[],[f1094,f407]) ).
fof(f407,plain,
! [X0,X1] : product(X0,product(X1,X0)) = bigC(X0,X1,X0),
inference(superposition,[],[f314,f6]) ).
fof(f41,plain,
! [X2,X0,X1] : product(X0,X1) = quotient(bigC(X0,X1,X2),product(X2,X0)),
inference(superposition,[],[f3,f8]) ).
fof(f2777,plain,
! [X0,X1] : quotient(X0,product(X0,X1)) = difference(product(X0,X1),quotient(bigC(X0,X1,X0),product(X0,X1))),
inference(superposition,[],[f1732,f69]) ).
fof(f13433,plain,
difference(product(a,c),product(a,b)) = difference(difference(product(a,c),product(c,a)),product(a,c)),
inference(superposition,[],[f10070,f12744]) ).
fof(f12744,plain,
product(c,a) = quotient(product(a,c),product(a,b)),
inference(backward_demodulation,[],[f3044,f12728]) ).
fof(f12728,plain,
! [X2,X0,X1] : product(X0,X1) = difference(product(X1,X2),bigC(X0,X1,X2)),
inference(backward_demodulation,[],[f3680,f12717]) ).
fof(f12717,plain,
! [X2,X0,X1] : product(X1,X2) = difference(product(X2,X0),bigC(X0,X2,X1)),
inference(backward_demodulation,[],[f924,f12706]) ).
fof(f12706,plain,
! [X2,X0,X1] : product(X1,X2) = product(difference(product(X2,X0),product(X0,X1)),product(X2,X0)),
inference(backward_demodulation,[],[f925,f12703]) ).
fof(f12703,plain,
! [X2,X0,X1] : product(X1,X2) = difference(product(X2,X0),bigC(X0,X1,X2)),
inference(backward_demodulation,[],[f2427,f12689]) ).
fof(f12689,plain,
! [X2,X0,X1] : product(X1,X2) = product(product(X0,X1),quotient(product(X2,X0),product(X0,X1))),
inference(backward_demodulation,[],[f1045,f12554]) ).
fof(f12554,plain,
! [X2,X0,X1] : product(X0,X1) = quotient(bigC(X2,X1,X0),product(X2,X0)),
inference(superposition,[],[f3,f12092]) ).
fof(f1045,plain,
! [X2,X0,X1] : product(product(X0,X1),quotient(product(X2,X0),product(X0,X1))) = quotient(bigC(X0,X2,X1),product(X0,X1)),
inference(superposition,[],[f881,f314]) ).
fof(f2427,plain,
! [X2,X0,X1] : difference(product(X2,X0),bigC(X0,X1,X2)) = product(product(X0,X1),quotient(product(X2,X0),product(X0,X1))),
inference(superposition,[],[f1428,f8]) ).
fof(f925,plain,
! [X2,X0,X1] : product(difference(product(X2,X0),product(X0,X1)),product(X2,X0)) = difference(product(X2,X0),bigC(X0,X1,X2)),
inference(superposition,[],[f626,f8]) ).
fof(f924,plain,
! [X2,X0,X1] : product(difference(product(X2,X0),product(X0,X1)),product(X2,X0)) = difference(product(X2,X0),bigC(X0,X2,X1)),
inference(superposition,[],[f626,f314]) ).
fof(f3680,plain,
! [X2,X0,X1] : product(X0,X1) = difference(difference(product(X2,X0),bigC(X0,X2,X1)),bigC(X0,X1,X2)),
inference(forward_demodulation,[],[f3607,f924]) ).
fof(f3607,plain,
! [X2,X0,X1] : product(X0,X1) = difference(product(difference(product(X2,X0),product(X0,X1)),product(X2,X0)),bigC(X0,X1,X2)),
inference(superposition,[],[f1649,f8]) ).
fof(f1649,plain,
! [X0,X1] : difference(product(difference(X0,X1),X0),product(X1,X0)) = X1,
inference(forward_demodulation,[],[f1637,f2]) ).
fof(f1637,plain,
! [X0,X1] : product(X0,difference(X0,X1)) = difference(product(difference(X0,X1),X0),product(X1,X0)),
inference(superposition,[],[f42,f1516]) ).
fof(f1516,plain,
! [X0,X1] : product(X1,X0) = bigC(difference(X0,X1),X0,X0),
inference(superposition,[],[f1452,f2]) ).
fof(f1452,plain,
! [X0,X1] : product(product(X0,X1),X0) = bigC(X1,X0,X0),
inference(superposition,[],[f2,f1362]) ).
fof(f1362,plain,
! [X0,X1] : difference(product(X0,X1),bigC(X1,X0,X0)) = X0,
inference(forward_demodulation,[],[f1320,f3]) ).
fof(f1320,plain,
! [X0,X1] : difference(product(X0,quotient(product(X1,X0),X0)),bigC(X1,X0,X0)) = X0,
inference(superposition,[],[f714,f1094]) ).
fof(f714,plain,
! [X0,X1] : difference(product(X0,quotient(X1,X0)),product(X0,X1)) = X0,
inference(superposition,[],[f478,f48]) ).
fof(f478,plain,
! [X0,X1] : difference(product(X0,X1),bigC(X0,X0,X1)) = X0,
inference(superposition,[],[f69,f429]) ).
fof(f3044,plain,
quotient(product(a,c),product(a,b)) = difference(product(a,b),bigC(c,a,b)),
inference(forward_demodulation,[],[f3043,f429]) ).
fof(f3043,plain,
quotient(product(a,c),product(a,b)) = difference(product(a,b),bigC(c,b,a)),
inference(forward_demodulation,[],[f3004,f8]) ).
fof(f3004,plain,
quotient(product(a,c),product(a,b)) = difference(product(a,b),product(product(c,b),product(a,c))),
inference(superposition,[],[f2499,f24]) ).
fof(f10070,plain,
! [X0,X1] : difference(X0,X1) = difference(difference(X0,quotient(X0,X1)),X0),
inference(forward_demodulation,[],[f10069,f8469]) ).
fof(f8469,plain,
! [X0,X1] : difference(X0,quotient(X0,X1)) = difference(difference(X0,X1),quotient(X0,quotient(X1,X0))),
inference(backward_demodulation,[],[f7253,f8461]) ).
fof(f8461,plain,
! [X0,X1] : quotient(X0,difference(X0,X1)) = difference(X0,quotient(X0,X1)),
inference(forward_demodulation,[],[f8460,f6226]) ).
fof(f6226,plain,
! [X0,X1] : product(quotient(X0,X1),difference(X1,quotient(X0,X1))) = difference(X0,quotient(X0,X1)),
inference(superposition,[],[f3923,f4]) ).
fof(f3923,plain,
! [X0,X1] : product(X0,difference(X1,X0)) = difference(product(X0,X1),X0),
inference(forward_demodulation,[],[f3803,f2379]) ).
fof(f2379,plain,
! [X2,X0,X1] : product(X0,X2) = quotient(product(X0,product(X2,X1)),product(X0,X1)),
inference(forward_demodulation,[],[f2317,f1074]) ).
fof(f2317,plain,
! [X2,X0,X1] : product(X0,X2) = quotient(bigC(X0,X2,product(X0,quotient(X1,X0))),product(X0,X1)),
inference(superposition,[],[f41,f1023]) ).
fof(f1023,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,quotient(X1,X0)),X0),
inference(superposition,[],[f2,f714]) ).
fof(f3803,plain,
! [X0,X1] : difference(product(X0,X1),X0) = quotient(product(X0,product(difference(X1,X0),X1)),product(X0,X1)),
inference(superposition,[],[f2802,f1650]) ).
fof(f1650,plain,
! [X0,X1] : product(difference(X0,X1),X0) = quotient(product(X1,X0),X1),
inference(forward_demodulation,[],[f1638,f2]) ).
fof(f1638,plain,
! [X0,X1] : product(difference(X0,X1),X0) = quotient(product(X1,X0),product(X0,difference(X0,X1))),
inference(superposition,[],[f41,f1516]) ).
fof(f2802,plain,
! [X0,X1] : difference(X0,X1) = quotient(product(X1,quotient(X0,X1)),X0),
inference(forward_demodulation,[],[f2769,f3]) ).
fof(f2769,plain,
! [X0,X1] : difference(X0,quotient(product(X1,X0),X0)) = quotient(product(X1,quotient(X0,X1)),X0),
inference(superposition,[],[f1732,f1428]) ).
fof(f8460,plain,
! [X0,X1] : quotient(X0,difference(X0,X1)) = product(quotient(X0,X1),difference(X1,quotient(X0,X1))),
inference(forward_demodulation,[],[f8459,f8273]) ).
fof(f8273,plain,
! [X0,X1] : quotient(X0,X1) = product(X0,quotient(X0,difference(X0,X1))),
inference(superposition,[],[f3,f5065]) ).
fof(f5065,plain,
! [X0,X1] : product(product(X0,quotient(X0,difference(X0,X1))),X1) = X0,
inference(superposition,[],[f4296,f2]) ).
fof(f8459,plain,
! [X0,X1] : quotient(X0,difference(X0,X1)) = product(product(X0,quotient(X0,difference(X0,X1))),difference(X1,product(X0,quotient(X0,difference(X0,X1))))),
inference(forward_demodulation,[],[f8313,f1]) ).
fof(f8313,plain,
! [X0,X1] : product(product(X0,quotient(X0,difference(X0,X1))),difference(X1,product(X0,quotient(X0,difference(X0,X1))))) = difference(X0,product(X0,quotient(X0,difference(X0,X1)))),
inference(superposition,[],[f3923,f5065]) ).
fof(f7253,plain,
! [X0,X1] : quotient(X0,difference(X0,X1)) = difference(difference(X0,X1),quotient(X0,quotient(X1,X0))),
inference(backward_demodulation,[],[f3481,f7170]) ).
fof(f7170,plain,
! [X0,X1] : quotient(X0,quotient(X1,X0)) = quotient(quotient(X0,X1),X0),
inference(superposition,[],[f3,f4116]) ).
fof(f4116,plain,
! [X0,X1] : quotient(X1,X0) = product(quotient(X1,quotient(X0,X1)),X1),
inference(superposition,[],[f3030,f4]) ).
fof(f3481,plain,
! [X0,X1] : quotient(X0,difference(X0,X1)) = difference(difference(X0,X1),quotient(quotient(X0,X1),X0)),
inference(backward_demodulation,[],[f3414,f3480]) ).
fof(f3480,plain,
! [X0,X1] : quotient(quotient(X0,X1),X0) = quotient(product(X1,quotient(X0,X1)),difference(X0,X1)),
inference(forward_demodulation,[],[f3415,f3013]) ).
fof(f3013,plain,
! [X0,X1] : quotient(quotient(X0,X1),X0) = difference(X0,product(X1,quotient(X0,X1))),
inference(superposition,[],[f2499,f16]) ).
fof(f16,plain,
! [X0,X1] : difference(quotient(X0,X1),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f3415,plain,
! [X0,X1] : difference(X0,product(X1,quotient(X0,X1))) = quotient(product(X1,quotient(X0,X1)),difference(X0,X1)),
inference(superposition,[],[f1908,f2744]) ).
fof(f2744,plain,
! [X0,X1] : difference(difference(X0,X1),product(X1,quotient(X0,X1))) = X0,
inference(forward_demodulation,[],[f2693,f3]) ).
fof(f2693,plain,
! [X0,X1] : difference(difference(X0,quotient(product(X1,X0),X0)),product(X1,quotient(X0,X1))) = X0,
inference(superposition,[],[f1731,f1428]) ).
fof(f1731,plain,
! [X0,X1] : difference(difference(X0,quotient(X1,X0)),difference(X0,X1)) = X0,
inference(superposition,[],[f1,f922]) ).
fof(f3414,plain,
! [X0,X1] : quotient(X0,difference(X0,X1)) = difference(difference(X0,X1),quotient(product(X1,quotient(X0,X1)),difference(X0,X1))),
inference(superposition,[],[f1732,f2744]) ).
fof(f10069,plain,
! [X0,X1] : difference(X0,X1) = difference(difference(difference(X0,X1),quotient(X0,quotient(X1,X0))),X0),
inference(forward_demodulation,[],[f10068,f2826]) ).
fof(f2826,plain,
! [X0,X1] : quotient(X1,quotient(X0,X1)) = difference(quotient(X0,X1),difference(X1,X0)),
inference(forward_demodulation,[],[f2784,f1911]) ).
fof(f1911,plain,
! [X0,X1] : difference(X0,X1) = quotient(X1,quotient(X1,X0)),
inference(forward_demodulation,[],[f1910,f922]) ).
fof(f1910,plain,
! [X0,X1] : product(difference(X0,quotient(X1,X0)),X0) = quotient(X1,quotient(X1,X0)),
inference(forward_demodulation,[],[f1899,f2]) ).
fof(f1899,plain,
! [X0,X1] : product(difference(X0,quotient(X1,X0)),X0) = quotient(X1,product(X0,difference(X0,quotient(X1,X0)))),
inference(superposition,[],[f41,f1802]) ).
fof(f2784,plain,
! [X0,X1] : quotient(X1,quotient(X0,X1)) = difference(quotient(X0,X1),quotient(X0,quotient(X0,X1))),
inference(superposition,[],[f1732,f16]) ).
fof(f10068,plain,
! [X0,X1] : difference(X0,X1) = difference(difference(difference(X0,X1),difference(quotient(X1,X0),difference(X0,X1))),X0),
inference(forward_demodulation,[],[f10067,f9003]) ).
fof(f9003,plain,
! [X0,X1] : difference(difference(X0,X1),X0) = difference(X0,difference(X1,X0)),
inference(superposition,[],[f1,f6204]) ).
fof(f6204,plain,
! [X0,X1] : difference(X1,X0) = product(X0,difference(difference(X0,X1),X0)),
inference(superposition,[],[f3923,f2]) ).
fof(f10067,plain,
! [X0,X1] : difference(X0,X1) = difference(difference(difference(difference(X0,X1),quotient(X1,X0)),difference(X0,X1)),X0),
inference(forward_demodulation,[],[f9931,f3049]) ).
fof(f3049,plain,
! [X0,X1] : difference(difference(X0,X1),quotient(X1,X0)) = quotient(difference(X0,quotient(X1,X0)),difference(X0,X1)),
inference(forward_demodulation,[],[f3012,f2]) ).
fof(f3012,plain,
! [X0,X1] : quotient(difference(X0,quotient(X1,X0)),difference(X0,X1)) = difference(difference(X0,X1),product(X0,difference(X0,quotient(X1,X0)))),
inference(superposition,[],[f2499,f1731]) ).
fof(f9931,plain,
! [X0,X1] : difference(X0,X1) = difference(difference(quotient(difference(X0,quotient(X1,X0)),difference(X0,X1)),difference(X0,X1)),X0),
inference(superposition,[],[f7858,f1731]) ).
fof(f7858,plain,
! [X0,X1] : difference(difference(quotient(X0,X1),X1),difference(X0,X1)) = X1,
inference(forward_demodulation,[],[f7857,f2]) ).
fof(f7857,plain,
! [X0,X1] : product(X0,difference(X0,X1)) = difference(difference(quotient(X0,X1),X1),difference(X0,X1)),
inference(forward_demodulation,[],[f7788,f5695]) ).
fof(f7788,plain,
! [X0,X1] : product(X0,difference(X0,X1)) = difference(product(difference(X0,quotient(X1,X0)),difference(X0,X1)),difference(X0,X1)),
inference(superposition,[],[f4118,f1732]) ).
fof(f4118,plain,
! [X0,X1] : product(X1,X0) = difference(product(quotient(X0,X1),X0),X0),
inference(superposition,[],[f16,f3030]) ).
fof(f10284,plain,
! [X0,X1] : product(difference(X0,X1),difference(X0,difference(X1,X0))) = X0,
inference(superposition,[],[f2,f9003]) ).
fof(f13479,plain,
product(a,b) = quotient(product(b,product(a,quotient(c,a))),product(c,a)),
inference(forward_demodulation,[],[f13413,f4328]) ).
fof(f4328,plain,
! [X2,X0,X1] : product(difference(product(X0,X2),product(X0,X1)),product(X0,X2)) = product(X1,product(X0,quotient(X2,X0))),
inference(backward_demodulation,[],[f3728,f4324]) ).
fof(f4324,plain,
! [X2,X0,X1] : quotient(product(X0,product(X1,X2)),product(X0,X1)) = product(X1,product(X0,quotient(X2,X0))),
inference(backward_demodulation,[],[f3962,f4323]) ).
fof(f4323,plain,
! [X2,X0,X1] : product(X2,product(X0,quotient(X1,X0))) = difference(product(X0,X1),product(X0,product(X2,X1))),
inference(backward_demodulation,[],[f2318,f4322]) ).
fof(f4322,plain,
! [X2,X0,X1] : bigC(product(X0,quotient(X1,X0)),X0,X2) = product(X0,product(X2,X1)),
inference(forward_demodulation,[],[f4320,f294]) ).
fof(f4320,plain,
! [X2,X0,X1] : bigC(product(X0,quotient(X1,X0)),X0,X2) = product(product(X0,X2),product(X0,X1)),
inference(backward_demodulation,[],[f1020,f4202]) ).
fof(f4202,plain,
! [X2,X3,X0,X1] : product(product(X2,X3),product(X1,X0)) = product(product(X2,X0),product(X3,product(X1,quotient(X0,X1)))),
inference(superposition,[],[f5,f2043]) ).
fof(f1020,plain,
! [X2,X0,X1] : product(product(X0,X1),product(X2,product(X0,quotient(X1,X0)))) = bigC(product(X0,quotient(X1,X0)),X0,X2),
inference(superposition,[],[f30,f714]) ).
fof(f2318,plain,
! [X2,X0,X1] : product(X2,product(X0,quotient(X1,X0))) = difference(product(X0,X1),bigC(product(X0,quotient(X1,X0)),X0,X2)),
inference(superposition,[],[f42,f1023]) ).
fof(f3962,plain,
! [X2,X0,X1] : difference(product(X0,X2),product(X0,product(X1,X2))) = quotient(product(X0,product(X1,X2)),product(X0,X1)),
inference(superposition,[],[f1913,f294]) ).
fof(f1913,plain,
! [X0,X1] : quotient(product(X0,X1),X0) = difference(X1,product(X0,X1)),
inference(superposition,[],[f1908,f1]) ).
fof(f3728,plain,
! [X2,X0,X1] : product(difference(product(X0,X2),product(X0,X1)),product(X0,X2)) = quotient(product(X0,product(X1,X2)),product(X0,X1)),
inference(superposition,[],[f1650,f294]) ).
fof(f13413,plain,
product(a,b) = quotient(product(difference(product(a,c),product(a,b)),product(a,c)),product(c,a)),
inference(superposition,[],[f2500,f12744]) ).
fof(f307,plain,
! [X2,X3,X0,X1] : product(product(X2,quotient(X0,X1)),product(X3,X1)) = product(product(X2,X3),X0),
inference(superposition,[],[f5,f4]) ).
fof(f10,axiom,
bigC(a,b,x0) != bigC(c,c,x0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : GRP777-10 : TPTP v8.2.0. Released v8.1.0.
% 0.10/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n016.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 05:36:07 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % (21707)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (21714)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)
% 0.16/0.39 % (21711)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 % (21712)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)
% 0.16/0.40 TRYING [3]
% 0.16/0.40 % (21710)WARNING: value z3 for option sas not known
% 0.23/0.40 % (21708)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.40 % (21710)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)
% 0.23/0.40 TRYING [4]
% 0.23/0.40 % (21709)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.40 % (21713)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)
% 0.23/0.41 TRYING [1]
% 0.23/0.41 TRYING [2]
% 0.23/0.41 TRYING [3]
% 0.23/0.43 TRYING [5]
% 0.23/0.44 TRYING [4]
% 0.23/0.50 TRYING [6]
% 0.23/0.51 TRYING [5]
% 1.91/0.66 TRYING [7]
% 4.01/0.97 TRYING [6]
% 4.01/1.02 % (21713)First to succeed.
% 4.61/1.02 % (21713)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21707"
% 4.61/1.03 % (21713)Refutation found. Thanks to Tanya!
% 4.61/1.03 % SZS status Unsatisfiable for theBenchmark
% 4.61/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 4.61/1.03 % (21713)------------------------------
% 4.61/1.03 % (21713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.61/1.03 % (21713)Termination reason: Refutation
% 4.61/1.03
% 4.61/1.03 % (21713)Memory used [KB]: 8311
% 4.61/1.03 % (21713)Time elapsed: 0.619 s
% 4.61/1.03 % (21713)Instructions burned: 1357 (million)
% 4.61/1.03 % (21707)Success in time 0.646 s
%------------------------------------------------------------------------------