%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:35 AM UTC 2026
% Result : Unsatisfiable 1.69s 1.96s
% Output : Refutation 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 9
% Syntax : Number of formulae : 118 ( 115 unt; 1 def)
% Number of atoms : 121 ( 111 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 275 ( 0 sgn 275 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,negated_conjecture,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f10,definition,
( spl0_1
<=> mult(rd(mult(x3,x4),x4),x5) = mult(x3,x5) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5)
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f8,f10]) ).
fof(f17,plain,
! [X0] : ld(X0,mult(X0,ld(X0,X0))) = rd(rd(mult(X0,X0),X0),X0),
inference(superposition,[],[f7,f4]) ).
fof(f20,plain,
! [X0] : rd(X0,X0) = ld(X0,mult(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f2,f7]) ).
fof(f21,plain,
! [X0,X1] : rd(mult(mult(rd(X0,X0),X1),X1),X1) = mult(ld(X0,mult(X0,ld(X1,X1))),X1),
inference(superposition,[],[f4,f7]) ).
fof(f22,plain,
! [X0] : rd(X0,X0) = ld(X0,mult(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f17,f2]) ).
fof(f23,plain,
! [X0] : rd(X0,X0) = ld(X0,ld(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f22,f3]) ).
fof(f24,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f26,plain,
! [X0] : ld(X0,X0) = ld(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(backward_demodulation,[],[f20,f24]) ).
fof(f27,plain,
! [X0,X1] : mult(ld(X0,mult(X0,ld(X1,X1))),X1) = rd(mult(mult(ld(X0,X0),X1),X1),X1),
inference(backward_demodulation,[],[f21,f24]) ).
fof(f28,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(ld(X0,X0),X1),X1),
inference(backward_demodulation,[],[f7,f24]) ).
fof(f29,plain,
! [X0] : rd(mult(X0,X0),X0) = mult(ld(X0,X0),X0),
inference(superposition,[],[f4,f24]) ).
fof(f30,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f29,f2]) ).
fof(f39,plain,
! [X0] : mult(X0,ld(X0,X0)) = ld(X0,mult(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0))))),
inference(superposition,[],[f3,f26]) ).
fof(f40,plain,
! [X0] : ld(X0,mult(X0,X0)) = ld(X0,mult(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0))))),
inference(forward_demodulation,[],[f39,f3]) ).
fof(f41,plain,
! [X0] : ld(X0,mult(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0))))) = X0,
inference(forward_demodulation,[],[f40,f1]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(ld(X0,mult(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f5,f1]) ).
fof(f51,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X1,ld(X0,X0))),X0) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[],[f5,f30]) ).
fof(f58,plain,
! [X2,X0,X1] : mult(X0,X2) = ld(ld(X0,X1),mult(ld(X0,X1),mult(X0,X2))),
inference(superposition,[],[f5,f1]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : ld(ld(X0,mult(X0,X2)),mult(ld(X0,mult(X0,X2)),X3)) = ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,ld(ld(X0,mult(X0,X2)),X3)))),
inference(superposition,[],[f3,f5]) ).
fof(f77,plain,
! [X2,X0,X1] : ld(ld(X1,X2),mult(ld(X1,X2),X0)) = ld(X1,mult(X1,mult(ld(X0,X0),X0))),
inference(backward_demodulation,[],[f51,f44]) ).
fof(f78,plain,
! [X0,X1] : rd(mult(mult(ld(X0,X0),X1),X1),X1) = ld(X0,mult(X0,mult(ld(X1,X1),X1))),
inference(backward_demodulation,[],[f27,f44]) ).
fof(f79,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = ld(X0,mult(X0,mult(X2,X3))),
inference(backward_demodulation,[],[f5,f44]) ).
fof(f86,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,ld(ld(X0,mult(X0,X2)),X3)))) = ld(ld(X0,mult(X0,X2)),ld(X0,mult(X0,mult(X2,X3)))),
inference(backward_demodulation,[],[f75,f44]) ).
fof(f106,plain,
! [X2,X0] : mult(X0,X2) = ld(X0,mult(X0,mult(X0,X2))),
inference(backward_demodulation,[],[f58,f79]) ).
fof(f110,plain,
! [X2,X3,X0] : ld(ld(X0,mult(X0,X2)),ld(X0,mult(X0,mult(X2,X3)))) = ld(X0,mult(X0,mult(X2,ld(ld(X0,mult(X0,X2)),X3)))),
inference(backward_demodulation,[],[f86,f79]) ).
fof(f124,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = rd(mult(mult(ld(X0,X0),X1),X1),X1),
inference(forward_demodulation,[],[f78,f30]) ).
fof(f125,plain,
! [X2,X0,X1] : ld(ld(X1,X2),mult(ld(X1,X2),X0)) = ld(X1,mult(X1,X0)),
inference(forward_demodulation,[],[f77,f30]) ).
fof(f136,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(backward_demodulation,[],[f41,f106]) ).
fof(f168,plain,
! [X2,X0,X1] : mult(X0,rd(mult(ld(ld(X0,X0),ld(X0,X0)),X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f6,f136]) ).
fof(f170,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),rd(mult(X0,X2),X2)),
inference(superposition,[],[f6,f30]) ).
fof(f172,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f6,f2]) ).
fof(f191,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X0,X0),rd(mult(X1,X1),X1)),
inference(backward_demodulation,[],[f124,f172]) ).
fof(f201,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(ld(X0,X0),mult(ld(X0,X0),ld(X2,X2)))),
inference(forward_demodulation,[],[f168,f28]) ).
fof(f205,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f191,f2]) ).
fof(f207,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X0,mult(X0,ld(X2,X2)))),
inference(forward_demodulation,[],[f201,f125]) ).
fof(f210,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(ld(X0,mult(X0,X1)),X1),
inference(backward_demodulation,[],[f28,f205]) ).
fof(f211,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = ld(X0,mult(X0,rd(mult(X0,X2),X2))),
inference(backward_demodulation,[],[f170,f205]) ).
fof(f212,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = ld(X0,mult(X0,mult(X0,ld(X2,X2)))),
inference(forward_demodulation,[],[f207,f3]) ).
fof(f217,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f212,f106]) ).
fof(f220,plain,
! [X2,X0] : mult(X0,ld(X2,X2)) = ld(X0,mult(X0,rd(mult(X0,X2),X2))),
inference(backward_demodulation,[],[f211,f217]) ).
fof(f236,plain,
! [X0,X1] : ld(ld(X0,X0),mult(ld(X0,X0),X1)) = ld(X0,mult(X0,ld(ld(X0,X0),X1))),
inference(superposition,[],[f3,f205]) ).
fof(f239,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = ld(X0,mult(X0,ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f236,f125]) ).
fof(f345,plain,
! [X2,X0,X1] : ld(ld(X0,mult(X0,X1)),mult(ld(X0,mult(X0,X1)),X2)) = ld(X0,mult(X0,mult(X1,ld(ld(X0,mult(X0,X1)),X2)))),
inference(superposition,[],[f3,f44]) ).
fof(f350,plain,
! [X2,X0,X1] : ld(ld(X0,mult(X0,X1)),mult(ld(X0,mult(X0,X1)),X2)) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f345,f110]) ).
fof(f362,plain,
! [X2,X0,X1] : ld(X0,mult(X0,X2)) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f350,f125]) ).
fof(f372,plain,
! [X2,X3,X0] : ld(X0,mult(X0,X3)) = ld(X0,mult(X0,mult(X2,ld(ld(X0,mult(X0,X2)),X3)))),
inference(backward_demodulation,[],[f110,f362]) ).
fof(f382,plain,
! [X2,X0,X1] : mult(ld(X0,X0),rd(mult(X1,X2),X2)) = rd(mult(ld(X0,mult(X0,X1)),X2),X2),
inference(superposition,[],[f172,f205]) ).
fof(f388,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X0,X1),X2),X2),X2) = mult(mult(X0,rd(mult(X1,X2),X2)),X2),
inference(superposition,[],[f4,f172]) ).
fof(f389,plain,
! [X2,X0,X1] : mult(mult(X0,rd(mult(X1,X2),X2)),X2) = mult(mult(X0,X1),rd(mult(X2,X2),X2)),
inference(forward_demodulation,[],[f388,f172]) ).
fof(f392,plain,
! [X2,X0,X1] : mult(ld(X0,X0),rd(mult(X1,X2),X2)) = rd(ld(X0,mult(X0,mult(X1,X2))),X2),
inference(forward_demodulation,[],[f382,f44]) ).
fof(f395,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,rd(mult(X1,X2),X2)),X2),
inference(forward_demodulation,[],[f389,f2]) ).
fof(f397,plain,
! [X2,X0,X1] : ld(X0,mult(X0,rd(mult(X1,X2),X2))) = rd(ld(X0,mult(X0,mult(X1,X2))),X2),
inference(forward_demodulation,[],[f392,f205]) ).
fof(f402,plain,
! [X2,X0] : mult(X0,ld(X2,X2)) = rd(ld(X0,mult(X0,mult(X0,X2))),X2),
inference(backward_demodulation,[],[f220,f397]) ).
fof(f407,plain,
! [X2,X0] : rd(mult(X0,X2),X2) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f402,f106]) ).
fof(f410,plain,
! [X0,X1] : rd(ld(X0,mult(X0,X1)),X1) = ld(X0,rd(mult(X0,X1),X1)),
inference(backward_demodulation,[],[f210,f407]) ).
fof(f661,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = ld(X0,mult(X0,mult(X0,ld(ld(X0,X0),X1)))),
inference(superposition,[],[f3,f239]) ).
fof(f662,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f661,f106]) ).
fof(f674,plain,
! [X0,X1] : ld(X0,mult(X0,mult(X0,X1))) = mult(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f662,f3]) ).
fof(f683,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f674,f106]) ).
fof(f722,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = ld(X0,mult(X0,mult(X0,mult(X2,ld(ld(X0,mult(X0,X2)),X1))))),
inference(superposition,[],[f3,f372]) ).
fof(f723,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(X0,mult(X2,ld(ld(X0,mult(X0,X2)),X1))),
inference(forward_demodulation,[],[f722,f106]) ).
fof(f742,plain,
! [X2,X0,X1] : ld(X0,mult(X0,mult(X0,X1))) = mult(X0,mult(X2,ld(ld(X0,mult(X0,X2)),X1))),
inference(forward_demodulation,[],[f723,f3]) ).
fof(f755,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X0,mult(X2,ld(ld(X0,mult(X0,X2)),X1))),
inference(forward_demodulation,[],[f742,f106]) ).
fof(f1179,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,X0)),X1) = mult(mult(X2,rd(ld(X0,mult(X0,X1)),X1)),X1),
inference(superposition,[],[f395,f205]) ).
fof(f1225,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,X0)),X1) = mult(mult(X2,ld(X0,rd(mult(X0,X1),X1))),X1),
inference(forward_demodulation,[],[f1179,f410]) ).
fof(f1238,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,rd(mult(X0,X1),X1))),X1) = mult(rd(mult(X2,X0),X0),X1),
inference(forward_demodulation,[],[f1225,f407]) ).
fof(f1531,plain,
! [X2,X3,X0,X1] : mult(X2,X3) = mult(X2,ld(X0,mult(X0,mult(X1,ld(ld(X2,mult(X2,ld(X0,mult(X0,X1)))),X3))))),
inference(superposition,[],[f755,f44]) ).
fof(f1642,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(ld(X0,X1),X2))) = ld(ld(X0,X1),ld(ld(X0,X1),mult(ld(X0,X1),X2))),
inference(superposition,[],[f125,f3]) ).
fof(f1652,plain,
! [X0,X1] : ld(X0,X1) = ld(X0,mult(X0,ld(X0,X1))),
inference(superposition,[],[f1,f125]) ).
fof(f1700,plain,
! [X0,X1] : ld(X0,X1) = ld(X0,ld(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f1652,f3]) ).
fof(f1707,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(ld(X0,X1),X2))) = ld(ld(X0,X1),ld(X0,mult(X0,X2))),
inference(forward_demodulation,[],[f1642,f125]) ).
fof(f1886,plain,
! [X0,X1] : ld(X0,ld(X0,mult(X0,X1))) = ld(X0,ld(ld(X0,X0),X1)),
inference(superposition,[],[f1700,f683]) ).
fof(f1895,plain,
! [X2,X0,X1] : ld(ld(X0,X2),X1) = ld(ld(X0,X2),ld(X0,mult(X0,X1))),
inference(superposition,[],[f1700,f125]) ).
fof(f1906,plain,
! [X2,X0,X1] : ld(ld(X0,X1),X2) = ld(X0,mult(X0,ld(ld(X0,X1),X2))),
inference(backward_demodulation,[],[f1707,f1895]) ).
fof(f1907,plain,
! [X2,X0,X1] : ld(X0,mult(X0,X2)) = ld(ld(X0,mult(X0,X1)),mult(X1,X2)),
inference(backward_demodulation,[],[f362,f1895]) ).
fof(f1924,plain,
! [X0,X1] : ld(X0,X1) = ld(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f1886,f1700]) ).
fof(f1952,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,ld(ld(X0,X0),X1))),
inference(superposition,[],[f3,f1924]) ).
fof(f1956,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[],[f1952,f1906]) ).
fof(f1964,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[],[f1956,f3]) ).
fof(f1973,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(ld(X0,X0),X1),
inference(backward_demodulation,[],[f205,f1964]) ).
fof(f1974,plain,
! [X0,X1] : ld(X0,rd(mult(X0,X1),X1)) = rd(ld(ld(X0,X0),X1),X1),
inference(backward_demodulation,[],[f410,f1964]) ).
fof(f1981,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X0,mult(X2,ld(ld(ld(X0,X0),X2),X1))),
inference(backward_demodulation,[],[f755,f1964]) ).
fof(f2005,plain,
! [X2,X3,X0,X1] : mult(X2,X3) = mult(X2,ld(X0,mult(X0,mult(X1,ld(ld(X2,mult(X2,ld(ld(X0,X0),X1))),X3))))),
inference(backward_demodulation,[],[f1531,f1964]) ).
fof(f2033,plain,
! [X2,X0,X1] : ld(X0,mult(X0,X2)) = ld(ld(ld(X0,X0),X1),mult(X1,X2)),
inference(backward_demodulation,[],[f1907,f1964]) ).
fof(f2114,plain,
! [X2,X0,X1] : ld(ld(X0,X0),X2) = ld(ld(ld(X0,X0),X1),mult(X1,X2)),
inference(forward_demodulation,[],[f2033,f1964]) ).
fof(f2124,plain,
! [X2,X3,X0,X1] : mult(X2,X3) = mult(X2,ld(ld(X0,X0),mult(X1,ld(ld(X2,mult(X2,ld(ld(X0,X0),X1))),X3)))),
inference(forward_demodulation,[],[f2005,f1964]) ).
fof(f2146,plain,
! [X2,X0,X1] : mult(rd(mult(X2,X0),X0),X1) = mult(mult(X2,rd(ld(ld(X0,X0),X1),X1)),X1),
inference(backward_demodulation,[],[f1238,f1974]) ).
fof(f2182,plain,
! [X2,X3,X0,X1] : mult(X2,X3) = mult(X2,ld(ld(X0,X0),mult(X1,ld(ld(ld(X2,X2),ld(ld(X0,X0),X1)),X3)))),
inference(forward_demodulation,[],[f2124,f1964]) ).
fof(f2295,plain,
! [X0,X1] : rd(mult(ld(X0,X0),X1),X1) = ld(ld(X0,X0),ld(X1,X1)),
inference(superposition,[],[f407,f1973]) ).
fof(f2302,plain,
! [X0,X1] : rd(ld(ld(X0,X0),X1),X1) = ld(ld(X0,X0),ld(X1,X1)),
inference(forward_demodulation,[],[f2295,f1973]) ).
fof(f2320,plain,
! [X2,X0,X1] : mult(rd(mult(X2,X0),X0),X1) = mult(mult(X2,ld(ld(X0,X0),ld(X1,X1))),X1),
inference(backward_demodulation,[],[f2146,f2302]) ).
fof(f2660,plain,
! [X2,X0,X1] : ld(ld(X2,X2),ld(ld(X0,X0),X1)) = ld(ld(ld(X2,X2),X0),mult(X0,X1)),
inference(superposition,[],[f2114,f683]) ).
fof(f2664,plain,
! [X2,X3,X0,X1] : ld(ld(ld(X2,X2),X0),mult(X0,X1)) = ld(ld(X2,X2),mult(X3,ld(ld(ld(X0,X0),X3),X1))),
inference(superposition,[],[f2114,f1981]) ).
fof(f2688,plain,
! [X2,X3,X0,X1] : ld(ld(X2,X2),X1) = ld(ld(X2,X2),mult(X3,ld(ld(ld(X0,X0),X3),X1))),
inference(forward_demodulation,[],[f2664,f2114]) ).
fof(f2690,plain,
! [X2,X0,X1] : ld(ld(X2,X2),X1) = ld(ld(X2,X2),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2660,f2114]) ).
fof(f2708,plain,
! [X2,X3,X0,X1] : mult(X2,X3) = mult(X2,ld(ld(X0,X0),mult(X1,ld(ld(ld(X2,X2),X1),X3)))),
inference(backward_demodulation,[],[f2182,f2690]) ).
fof(f2720,plain,
! [X2,X3,X0] : mult(X2,X3) = mult(X2,ld(ld(X0,X0),X3)),
inference(forward_demodulation,[],[f2708,f2688]) ).
fof(f2740,plain,
! [X2,X0,X1] : mult(rd(mult(X2,X0),X0),X1) = mult(mult(X2,ld(X1,X1)),X1),
inference(backward_demodulation,[],[f2320,f2720]) ).
fof(f2750,plain,
! [X2,X0,X1] : mult(rd(mult(X2,X0),X0),X1) = mult(rd(mult(X2,X1),X1),X1),
inference(forward_demodulation,[],[f2740,f407]) ).
fof(f2758,plain,
! [X2,X0,X1] : mult(rd(mult(X2,X0),X0),X1) = rd(mult(mult(X2,X1),X1),X1),
inference(forward_demodulation,[],[f2750,f4]) ).
fof(f2759,plain,
! [X2,X0,X1] : mult(rd(mult(X2,X0),X0),X1) = mult(X2,rd(mult(X1,X1),X1)),
inference(forward_demodulation,[],[f2758,f172]) ).
fof(f2760,plain,
! [X2,X0,X1] : mult(X2,X1) = mult(rd(mult(X2,X0),X0),X1),
inference(forward_demodulation,[],[f2759,f2]) ).
fof(f2761,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f12,f2760]) ).
fof(f2764,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2761]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f2764]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f2765,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.42 % Computer : n006.cluster.edu
% 0.19/0.42 % Model : x86_64 x86_64
% 0.19/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.42 % Memory : 8046.5625MB
% 0.19/0.42 % OS : Linux 6.8.0-71-generic
% 0.19/0.42 % CPULimit : 300
% 0.19/0.42 % WCLimit : 300
% 0.19/0.42 % DateTime : Sun Sep 27 10:35:25 UTC 2026
% 0.19/0.42 % CPUTime :
% 0.19/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/1.96 % (2782519)Detected a unit-equality problem, will run specialized UEQ schedule.
% 1.69/1.96 % (2782525)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2016646449:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 1.69/1.96 % (2782524)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2107966185:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 1.69/1.96 % (2782528)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1177957638:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 1.69/1.96 % (2782526)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1971175566:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 1.69/1.96 % (2782527)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3321044172:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 1.69/1.96 % (2782530)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3453537033:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 1.69/1.96 % (2782529)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=654713920:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 1.69/1.96 % (2782527)Instruction limit reached!
% 1.69/1.96 % (2782527)------------------------------
% 1.69/1.96 % (2782527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.96 % (2782527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.96 % (2782527)CaDiCaL version: 2.1.3
% 1.69/1.96 % (2782527)Termination reason: Instruction limit
% 1.69/1.96 % (2782527)Termination phase: Saturation
% 1.69/1.96 % (2782527)Time elapsed: 0.143 s
% 1.69/1.96 % (2782527)Peak memory usage: 88 MB
% 1.69/1.96 % (2782527)Instructions burned: 136 (million)
% 1.69/1.96 % (2782528)Instruction limit reached!
% 1.69/1.96 % (2782528)------------------------------
% 1.69/1.96 % (2782528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.96 % (2782528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.96 % (2782528)CaDiCaL version: 2.1.3
% 1.69/1.96 % (2782528)Termination reason: Instruction limit
% 1.69/1.96 % (2782528)Termination phase: Saturation
% 1.69/1.96 % (2782528)Time elapsed: 0.166 s
% 1.69/1.96 % (2782528)Peak memory usage: 89 MB
% 1.69/1.96 % (2782528)Instructions burned: 181 (million)
% 1.69/1.96 % (2782529)First to succeed.
% 1.69/1.96 % (2782529)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2782519"
% 1.69/1.96 % (2782539)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3095119148:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 1.69/1.96 % (2782538)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1049679593:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 1.69/1.96 % (2782529)Refutation found. Thanks to Tanya!
% 1.69/1.96 % SZS status Unsatisfiable for theBenchmark
% 1.69/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 7.40/2.23 % (2782529)------------------------------
% 7.40/2.23 % (2782529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/2.23 % (2782529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/2.23 % (2782529)CaDiCaL version: 2.1.3
% 7.40/2.23 % (2782529)Termination reason: Refutation
% 7.40/2.23 % (2782529)Time elapsed: 0.209 s
% 7.40/2.23 % (2782529)Peak memory usage: 90 MB
% 7.40/2.23 % (2782529)Instructions burned: 198 (million)
% 7.40/2.23 % (2782529)------------------------------
% 7.40/2.23 % (2782529)------------------------------
% 7.40/2.23 % (2782519)Success in time 0.915 s
% 7.40/2.23 % Vampire exiting
%------------------------------------------------------------------------------