%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 10:18:32 AM UTC 2026
% Result : Theorem 6.74s 1.54s
% Output : Refutation 6.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 10
% Syntax : Number of formulae : 169 ( 151 unt; 2 def)
% Number of atoms : 187 ( 164 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 14 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 336 ( 0 sgn 333 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2,X3] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0,X1,X2,X3] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
? [X0,X1,X2] :
( ld(ld(X0,X1),mult(ld(X0,X1),X2)) != ld(X0,mult(X0,X2))
| ld(X0,mult(X0,X2)) != ld(rd(X0,X1),mult(rd(X0,X1),X2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f11,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f10]) ).
fof(f12,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(cnf_transformation,[],[f4]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,definition,
( spl3_1
<=> ld(sK0,mult(sK0,sK2)) = ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f23,plain,
( ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f25,definition,
( spl3_2
<=> ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) = ld(sK0,mult(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f27,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
fof(f29,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f14,f12]) ).
fof(f30,plain,
( ld(sK0,mult(sK0,sK2)) != mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2))
| spl3_1 ),
inference(superposition,[],[f23,f14]) ).
fof(f32,plain,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f30,f14]) ).
fof(f33,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f14,f29]) ).
fof(f35,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f15,f13]) ).
fof(f37,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f15,f35]) ).
fof(f43,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = mult(rd(rd(X1,X1),X0),X0),
inference(forward_demodulation,[],[f18,f15]) ).
fof(f44,plain,
! [X0,X1] : mult(rd(rd(X1,X1),X0),X0) = mult(X1,ld(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f43,f14]) ).
fof(f46,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f44,f35]) ).
fof(f47,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f37,f44]) ).
fof(f51,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[],[f47,f33]) ).
fof(f53,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f44,f51]) ).
fof(f55,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f35,f51]) ).
fof(f70,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f46,f51]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(mult(X3,ld(X3,X1)),X0),
inference(forward_demodulation,[],[f16,f14]) ).
fof(f93,plain,
! [X2,X3,X0,X1] : mult(mult(X3,ld(X3,X1)),X0) = mult(ld(X3,X2),ld(ld(X3,X2),mult(X1,X0))),
inference(forward_demodulation,[],[f92,f14]) ).
fof(f94,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,mult(rd(X2,X0),X0)),
inference(forward_demodulation,[],[f17,f15]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : mult(X3,mult(rd(X2,X0),X0)) = mult(rd(mult(X3,X2),rd(X1,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f94,f15]) ).
fof(f96,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f93,f12]) ).
fof(f126,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f96,f29]) ).
fof(f127,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),X1))),
inference(superposition,[],[f96,f33]) ).
fof(f151,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f126,f14]) ).
fof(f158,plain,
! [X0] : mult(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f151,f70]) ).
fof(f174,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f158,f29]) ).
fof(f213,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f93,f174]) ).
fof(f217,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(X0,ld(ld(X0,X0),ld(X0,X0))))),
inference(forward_demodulation,[],[f213,f96]) ).
fof(f218,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f217,f174]) ).
fof(f253,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f127,f70]) ).
fof(f270,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f253,f70]) ).
fof(f323,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[],[f95,f29]) ).
fof(f347,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(rd(mult(X1,X2),X0),X0),
inference(superposition,[],[f95,f13]) ).
fof(f372,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f323,f53]) ).
fof(f380,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(forward_demodulation,[],[f372,f151]) ).
fof(f382,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f347,f29]) ).
fof(f406,plain,
! [X0,X1] : mult(X0,mult(rd(X1,X1),X1)) = mult(mult(rd(X0,X1),X1),X1),
inference(superposition,[],[f347,f15]) ).
fof(f421,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f406,f35]) ).
fof(f441,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f382,f53]) ).
fof(f452,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(forward_demodulation,[],[f441,f151]) ).
fof(f456,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(superposition,[],[f421,f44]) ).
fof(f458,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(rd(X1,X2),X2)),X2),
inference(superposition,[],[f421,f347]) ).
fof(f472,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X1,X1),X1))),
inference(forward_demodulation,[],[f456,f96]) ).
fof(f476,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(forward_demodulation,[],[f472,f55]) ).
fof(f477,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f476,f51]) ).
fof(f479,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(superposition,[],[f452,f15]) ).
fof(f492,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[],[f421,f452]) ).
fof(f520,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f479,f421]) ).
fof(f575,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = rd(mult(X0,ld(X0,X1)),X1),
inference(superposition,[],[f15,f477]) ).
fof(f577,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),ld(ld(X0,X0),X1)))),
inference(superposition,[],[f151,f477]) ).
fof(f595,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f577,f127]) ).
fof(f597,plain,
! [X0,X1] : mult(ld(X0,X0),ld(X1,X1)) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f575,f452]) ).
fof(f625,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f595,f477]) ).
fof(f626,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f597,f477]) ).
fof(f641,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f625,f477]) ).
fof(f702,plain,
! [X0,X1] : mult(mult(X0,ld(ld(X1,X1),ld(X1,X1))),X1) = mult(rd(X0,ld(X1,X1)),X1),
inference(superposition,[],[f492,f452]) ).
fof(f718,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(rd(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f702,f270]) ).
fof(f735,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f718,f492]) ).
fof(f800,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(rd(mult(X0,X1),ld(X1,X1)),ld(X1,X1)),
inference(superposition,[],[f15,f520]) ).
fof(f802,plain,
! [X0,X1] : mult(mult(X0,X1),ld(ld(X1,X1),ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f800,f452]) ).
fof(f822,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f802,f270]) ).
fof(f829,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f822,f520]) ).
fof(f859,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(rd(X0,ld(X1,X1)),X1),X1),
inference(superposition,[],[f15,f735]) ).
fof(f863,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(X0,ld(X1,X1)),ld(X1,X1)),
inference(forward_demodulation,[],[f859,f452]) ).
fof(f871,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(ld(X1,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f863,f452]) ).
fof(f877,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
inference(forward_demodulation,[],[f871,f270]) ).
fof(f1022,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(X0,ld(rd(X2,X1),rd(X2,X1))),
inference(forward_demodulation,[],[f380,f452]) ).
fof(f1031,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f1022,f829]) ).
fof(f1056,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X1)) = mult(mult(X0,ld(X1,X1)),rd(X2,X1)),
inference(superposition,[],[f492,f1022]) ).
fof(f1138,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f1031,f270]) ).
fof(f1448,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,ld(X2,X2))),X2),
inference(forward_demodulation,[],[f458,f452]) ).
fof(f1881,plain,
! [X2,X0,X1] : mult(ld(X0,X1),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(superposition,[],[f218,f14]) ).
fof(f1888,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(superposition,[],[f218,f29]) ).
fof(f1937,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[],[f1881,f151]) ).
fof(f2010,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,mult(rd(ld(X0,X1),X1),X1)),
inference(superposition,[],[f347,f626]) ).
fof(f2028,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2010,f452]) ).
fof(f2056,plain,
! [X0,X1] : mult(X0,ld(X0,mult(ld(X1,X1),X1))) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2028,f96]) ).
fof(f2072,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2056,f55]) ).
fof(f2075,plain,
! [X0,X1] : mult(ld(X0,X0),ld(ld(X0,X0),X1)) = mult(ld(X0,X0),ld(ld(X0,X0),ld(ld(X0,X0),X1))),
inference(superposition,[],[f641,f270]) ).
fof(f2084,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(ld(X0,X0),X1)),
inference(superposition,[],[f151,f641]) ).
fof(f2113,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2084,f151]) ).
fof(f2119,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2075,f1888]) ).
fof(f2128,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f2119,f477]) ).
fof(f2133,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[],[f2128,f641]) ).
fof(f2595,plain,
! [X2,X0,X1] : mult(X2,mult(X0,X1)) = mult(mult(X2,ld(ld(X1,X1),ld(X1,X1))),mult(X0,X1)),
inference(superposition,[],[f1056,f829]) ).
fof(f2629,plain,
! [X2,X0,X1] : mult(X2,mult(X0,X1)) = mult(mult(X2,ld(X1,X1)),mult(X0,X1)),
inference(forward_demodulation,[],[f2595,f270]) ).
fof(f3028,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1)))),
inference(superposition,[],[f1138,f477]) ).
fof(f3185,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f3028,f1138]) ).
fof(f3622,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(X0,mult(ld(X0,X1),ld(X1,X1)))),
inference(superposition,[],[f14,f2072]) ).
fof(f3650,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3622,f1937]) ).
fof(f3669,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X0,X1))) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3650,f14]) ).
fof(f3681,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3669,f1888]) ).
fof(f3712,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X2)) = mult(ld(X0,mult(X1,X2)),ld(X2,X2)),
inference(superposition,[],[f3681,f1138]) ).
fof(f3724,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(ld(X0,X1),ld(ld(X0,X1),ld(X1,X1))),
inference(superposition,[],[f14,f3681]) ).
fof(f3745,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(ld(X0,X1),ld(X0,X1)),
inference(forward_demodulation,[],[f3724,f218]) ).
fof(f3914,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(mult(mult(X0,ld(ld(X2,X2),ld(X2,X2))),X1),X2),
inference(superposition,[],[f1448,f2629]) ).
fof(f3935,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(mult(mult(X0,ld(X2,X2)),X1),X2),
inference(forward_demodulation,[],[f3914,f270]) ).
fof(f3991,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(mult(X0,ld(X2,X2)),X1),X2),
inference(forward_demodulation,[],[f3935,f1448]) ).
fof(f4962,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(mult(X0,ld(X0,mult(X0,X1))),X0),
inference(superposition,[],[f3991,f96]) ).
fof(f5079,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,ld(X0,mult(mult(X0,X1),X0))),
inference(forward_demodulation,[],[f4962,f96]) ).
fof(f5747,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f477,f3745]) ).
fof(f5770,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = ld(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f2133,f3745]) ).
fof(f5817,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(forward_demodulation,[],[f5770,f218]) ).
fof(f5819,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(ld(X1,X1),X2))),
inference(forward_demodulation,[],[f5747,f96]) ).
fof(f5854,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f5819,f477]) ).
fof(f5880,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f5854,f218]) ).
fof(f6859,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X0),ld(X0,mult(mult(X0,X1),X0))) = mult(X0,ld(ld(X0,mult(mult(X0,X1),X0)),ld(X0,mult(mult(X0,X1),X0)))),
inference(superposition,[],[f877,f5079]) ).
fof(f6886,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X0),ld(X0,mult(mult(X0,X1),X0))) = mult(X0,ld(mult(mult(X0,X1),X0),mult(mult(X0,X1),X0))),
inference(forward_demodulation,[],[f6859,f3185]) ).
fof(f6932,plain,
! [X0,X1] : mult(X0,ld(X0,X0)) = rd(mult(mult(X0,X1),X0),ld(X0,mult(mult(X0,X1),X0))),
inference(forward_demodulation,[],[f6886,f1138]) ).
fof(f6964,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X0),ld(X0,mult(mult(X0,X1),X0))) = X0,
inference(forward_demodulation,[],[f6932,f29]) ).
fof(f8588,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(X0,ld(X0,mult(X2,ld(X2,X1))))),
inference(superposition,[],[f14,f5880]) ).
fof(f8643,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = ld(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8588,f1888]) ).
fof(f8703,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(X0,X1))) = ld(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8643,f14]) ).
fof(f8744,plain,
! [X2,X0,X1] : ld(X0,X1) = ld(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8703,f1888]) ).
fof(f9800,plain,
! [X0,X1] : rd(mult(ld(X0,X1),X0),ld(X0,mult(ld(X0,X1),X0))) = X0,
inference(superposition,[],[f6964,f1888]) ).
fof(f10783,plain,
! [X0,X1] : ld(X0,X0) = rd(ld(ld(X0,X0),mult(X1,X0)),ld(ld(X0,X0),ld(ld(X0,X0),mult(X1,X0)))),
inference(superposition,[],[f9800,f3712]) ).
fof(f10827,plain,
! [X0,X1] : ld(X0,X0) = rd(ld(ld(X0,X0),mult(X1,X0)),mult(X0,ld(X0,ld(ld(X0,X0),mult(X1,X0))))),
inference(forward_demodulation,[],[f10783,f2133]) ).
fof(f10856,plain,
! [X0,X1] : ld(X0,X0) = rd(ld(ld(X0,X0),mult(X1,X0)),mult(X0,ld(X0,mult(X1,X0)))),
inference(forward_demodulation,[],[f10827,f641]) ).
fof(f10877,plain,
! [X0,X1] : ld(X0,X0) = rd(mult(X0,ld(X0,mult(X1,X0))),mult(X0,ld(X0,mult(X1,X0)))),
inference(forward_demodulation,[],[f10856,f2133]) ).
fof(f10895,plain,
! [X0,X1] : ld(X0,X0) = ld(mult(X0,ld(X0,mult(X1,X0))),mult(X0,ld(X0,mult(X1,X0)))),
inference(forward_demodulation,[],[f10877,f51]) ).
fof(f10911,plain,
! [X0,X1] : ld(X0,X0) = ld(mult(X0,ld(X0,mult(X1,X0))),mult(X1,X0)),
inference(forward_demodulation,[],[f10895,f8744]) ).
fof(f16379,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)) = ld(mult(ld(ld(X0,X0),X1),ld(ld(ld(X0,X0),X1),mult(X0,X1))),mult(X0,X1)),
inference(superposition,[],[f10911,f2113]) ).
fof(f16587,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)) = ld(mult(mult(ld(X0,X0),ld(ld(X0,X0),X0)),X1),mult(X0,X1)),
inference(forward_demodulation,[],[f16379,f93]) ).
fof(f16699,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)) = ld(mult(ld(X0,X0),ld(ld(X0,X0),mult(X0,X1))),mult(X0,X1)),
inference(forward_demodulation,[],[f16587,f96]) ).
fof(f16772,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)) = ld(mult(X0,ld(X0,ld(ld(X0,X0),mult(X0,X1)))),mult(X0,X1)),
inference(forward_demodulation,[],[f16699,f477]) ).
fof(f16820,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)) = ld(mult(X0,ld(X0,mult(X0,X1))),mult(X0,X1)),
inference(forward_demodulation,[],[f16772,f641]) ).
fof(f16852,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)) = ld(mult(X0,mult(X0,ld(X0,X1))),mult(X0,X1)),
inference(forward_demodulation,[],[f16820,f14]) ).
fof(f16875,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,X1)) = ld(ld(ld(X0,X0),X1),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f16852,f151]) ).
fof(f16889,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,X1)) = mult(ld(X0,X0),ld(ld(X0,X0),ld(X1,X1))),
inference(forward_demodulation,[],[f16875,f3745]) ).
fof(f16899,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,X1)) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X1,X1)))),
inference(forward_demodulation,[],[f16889,f477]) ).
fof(f16903,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(forward_demodulation,[],[f16899,f641]) ).
fof(f22324,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(mult(X0,X1),X2)) = ld(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f2133,f16903]) ).
fof(f22506,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(mult(X0,X1),ld(mult(X0,X1),X2)),
inference(forward_demodulation,[],[f22324,f5817]) ).
fof(f27659,plain,
! [X2,X0,X1] : mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X2)),
inference(superposition,[],[f22506,f452]) ).
fof(f27946,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(rd(X0,X1),ld(rd(X0,X1),X2)),
inference(forward_demodulation,[],[f27659,f22506]) ).
fof(f30790,plain,
( mult(sK0,ld(sK0,sK2)) != mult(sK0,ld(sK0,sK2))
| spl3_1 ),
inference(superposition,[],[f32,f27946]) ).
fof(f30910,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f30790]) ).
fof(f30911,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f30910]) ).
fof(f31109,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f27,f14]) ).
fof(f31111,plain,
( mult(sK0,ld(sK0,sK2)) != mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f31109,f14]) ).
fof(f31112,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f31111,f218]) ).
fof(f31113,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f31112]) ).
cnf(s10,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s4165,plain,
spl3_1,
inference(sat_conversion,[],[f30911]) ).
cnf(s4239,plain,
spl3_2,
inference(sat_conversion,[],[f31113]) ).
cnf(s4240,plain,
$false,
inference(rat,[],[s10,s4239,s4165]) ).
fof(f31114,plain,
$false,
inference(avatar_sat_refutation,[],[s4240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 10:37:25 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.48 Running first-order model finding
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.74/1.54 % (322331)Will run a generic schedule for satisfiability detection.
% 6.74/1.54 % (322337)% WARNING: option uhcvi not known.
% 6.74/1.54 % (322337)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=560942905:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 6.74/1.54 % (322336)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2818178495_3000 on theBenchmark for (3000ds/0Mi)
% 6.74/1.54 % (322342)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2985959927:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 6.74/1.54 % TRYING [1]
% 6.74/1.54 % TRYING [2]
% 6.74/1.54 % TRYING [3]
% 6.74/1.54 % (322341)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3916058234:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 6.74/1.54 % (322340)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1885484941:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 6.74/1.54 % (322338)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2492683966:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 6.74/1.54 % (322339)dis+10_1_sil=32000:sp=arity:random_seed=83422520:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 6.74/1.54 % TRYING [4]
% 6.74/1.54 % (322339)Instruction limit reached!
% 6.74/1.54 % (322339)------------------------------
% 6.74/1.54 % (322339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322339)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322339)Termination reason: Instruction limit
% 6.74/1.54 % (322339)Termination phase: Saturation
% 6.74/1.54 % (322339)Time elapsed: 0.096 s
% 6.74/1.54 % (322339)Peak memory usage: 12 MB
% 6.74/1.54 % (322339)Instructions burned: 103 (million)
% 6.74/1.54 % (322340)Instruction limit reached!
% 6.74/1.54 % (322340)------------------------------
% 6.74/1.54 % (322340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322340)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322340)Termination reason: Instruction limit
% 6.74/1.54 % (322340)Termination phase: Saturation
% 6.74/1.54 % (322340)Time elapsed: 0.115 s
% 6.74/1.54 % (322340)Peak memory usage: 13 MB
% 6.74/1.54 % (322340)Instructions burned: 118 (million)
% 6.74/1.54 % (322341)Instruction limit reached!
% 6.74/1.54 % (322341)------------------------------
% 6.74/1.54 % (322341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322341)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322341)Termination reason: Instruction limit
% 6.74/1.54 % (322341)Termination phase: Saturation
% 6.74/1.54 % (322341)Time elapsed: 0.128 s
% 6.74/1.54 % (322341)Peak memory usage: 13 MB
% 6.74/1.54 % (322341)Instructions burned: 131 (million)
% 6.74/1.54 % (322342)Instruction limit reached!
% 6.74/1.54 % (322342)------------------------------
% 6.74/1.54 % (322342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322342)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322342)Termination reason: Instruction limit
% 6.74/1.54 % (322342)Termination phase: Saturation
% 6.74/1.54 % (322342)Time elapsed: 0.139 s
% 6.74/1.54 % (322342)Peak memory usage: 13 MB
% 6.74/1.54 % (322342)Instructions burned: 159 (million)
% 6.74/1.54 % (322351)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1905346512:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.74/1.54 % (322350)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2166441501:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.74/1.54 % TRYING [1]
% 6.74/1.54 % TRYING [2]
% 6.74/1.54 % TRYING [3]
% 6.74/1.54 % (322352)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1605406756:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.74/1.54 % (322354)ott-21_1_sil=16000:fs=off:random_seed=1732974833:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.74/1.54 % TRYING [4]
% 6.74/1.54 % TRYING [5]
% 6.74/1.54 % (322351)Instruction limit reached!
% 6.74/1.54 % (322351)------------------------------
% 6.74/1.54 % (322351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322351)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322351)Termination reason: Instruction limit
% 6.74/1.54 % (322351)Termination phase: Saturation
% 6.74/1.54 % (322351)Time elapsed: 0.128 s
% 6.74/1.54 % (322351)Peak memory usage: 12 MB
% 6.74/1.54 % (322351)Instructions burned: 131 (million)
% 6.74/1.54 % (322359)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1304107517:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 6.74/1.54 % (322354)Instruction limit reached!
% 6.74/1.54 % (322354)------------------------------
% 6.74/1.54 % (322354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322354)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322354)Termination reason: Instruction limit
% 6.74/1.54 % (322354)Termination phase: Saturation
% 6.74/1.54 % (322354)Time elapsed: 0.162 s
% 6.74/1.54 % (322354)Peak memory usage: 13 MB
% 6.74/1.54 % (322354)Instructions burned: 181 (million)
% 6.74/1.54 % (322361)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3032663044:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 6.74/1.54 % TRYING [1]
% 6.74/1.54 % TRYING [2]
% 6.74/1.54 % TRYING [3]
% 6.74/1.54 % TRYING [4]
% 6.74/1.54 % TRYING [5]
% 6.74/1.54 % TRYING [5]
% 6.74/1.54 % (322359)Instruction limit reached!
% 6.74/1.54 % (322359)------------------------------
% 6.74/1.54 % (322359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322359)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322359)Termination reason: Instruction limit
% 6.74/1.54 % (322359)Termination phase: Saturation
% 6.74/1.54 % (322359)Time elapsed: 0.458 s
% 6.74/1.54 % (322359)Peak memory usage: 16 MB
% 6.74/1.54 % (322359)Instructions burned: 477 (million)
% 6.74/1.54 % (322350)Instruction limit reached!
% 6.74/1.54 % (322350)------------------------------
% 6.74/1.54 % (322350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322350)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322350)Termination reason: Instruction limit
% 6.74/1.54 % (322350)Termination phase: Finite model building SAT solving
% 6.74/1.54 % (322350)Time elapsed: 0.641 s
% 6.74/1.54 % (322350)Peak memory usage: 23 MB
% 6.74/1.54 % (322350)Instructions burned: 715 (million)
% 6.74/1.54 % (322363)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3155393618:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 6.74/1.54 % (322352)Instruction limit reached!
% 6.74/1.54 % (322352)------------------------------
% 6.74/1.54 % (322352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.54 % (322352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.54 % (322352)CaDiCaL version: 2.1.3
% 6.74/1.54 % (322352)Termination reason: Instruction limit
% 6.74/1.54 % (322352)Termination phase: Saturation
% 6.74/1.54 % (322352)Time elapsed: 0.638 s
% 6.74/1.54 % (322352)Peak memory usage: 18 MB
% 6.74/1.54 % (322352)Instructions burned: 684 (million)
% 6.74/1.54 % (322364)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=450346808:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 6.74/1.54 % (322366)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2374567585:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 6.74/1.54 % (322338) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-322331-322338"...
% 6.74/1.54 % (322338)...printing done.
% 6.74/1.54 % (322338)Refutation found. Thanks to Tanya!
% 6.74/1.54 % SZS status Theorem for theBenchmark
% 6.74/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.74/1.55 % (322338)------------------------------
% 6.74/1.55 % (322338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.55 % (322338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.55 % (322338)CaDiCaL version: 2.1.3
% 6.74/1.55 % (322338)Termination reason: Refutation
% 6.74/1.55 % (322338)Time elapsed: 0.998 s
% 6.74/1.55 % (322338)Peak memory usage: 21 MB
% 6.74/1.55 % (322338)Instructions burned: 1066 (million)
% 6.74/1.55 % (322331)Success in time 1.049 s
% 6.74/1.55 % Vampire exiting
%------------------------------------------------------------------------------