%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP660+2 : 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 : n002.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 10:18:28 AM UTC 2026
% Result : Theorem 6.41s 2.21s
% Output : Refutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 8
% Syntax : Number of formulae : 111 ( 95 unt; 2 def)
% Number of atoms : 127 ( 106 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 12 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 185 ( 0 sgn 183 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
! [X0,X1] :
( mult(X0,rd(X1,X1)) = X0
& mult(rd(X1,X1),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( mult(X0,rd(X1,X1)) = X0
& mult(rd(X1,X1),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
? [X0,X1] :
( mult(X0,rd(X1,X1)) != X0
| mult(rd(X1,X1),X0) != X0 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| sK0 != mult(rd(sK1,sK1),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| sK0 != mult(rd(sK1,sK1),sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,definition,
( spl2_1
<=> sK0 = mult(rd(sK1,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f19,plain,
( sK0 != mult(rd(sK1,sK1),sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl2_2
<=> sK0 = mult(sK0,rd(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f23,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f15,f21,f17]) ).
fof(f25,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f26,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f14,f10]) ).
fof(f35,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X1))),
inference(superposition,[],[f14,f10]) ).
fof(f36,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f13,f14]) ).
fof(f42,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f31,f12]) ).
fof(f46,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f31]) ).
fof(f59,plain,
! [X2,X0,X1] : mult(X2,mult(ld(mult(X1,X2),X0),X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f11,f35]) ).
fof(f67,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f36,f12]) ).
fof(f71,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X2,X1))),X2) = rd(mult(X1,X0),X1),
inference(superposition,[],[f36,f12]) ).
fof(f115,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),mult(X0,X1))) = mult(mult(X0,mult(ld(X0,X1),X2)),X1),
inference(superposition,[],[f14,f42]) ).
fof(f117,plain,
! [X2,X0,X1] : ld(mult(X1,rd(X2,X0)),mult(X0,mult(ld(X0,X1),X2))) = X0,
inference(superposition,[],[f11,f42]) ).
fof(f159,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,rd(X0,X2)),mult(X2,X1)),
inference(superposition,[],[f46,f12]) ).
fof(f215,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),X1),X0) = ld(X2,ld(X0,mult(X1,X0))),
inference(superposition,[],[f11,f59]) ).
fof(f248,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X1) = mult(mult(X1,X2),rd(ld(X2,X0),X1)),
inference(superposition,[],[f67,f10]) ).
fof(f261,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(superposition,[],[f67,f13]) ).
fof(f292,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(rd(X1,mult(X2,X0)),X2)) = ld(X2,rd(mult(X0,X1),X0)),
inference(superposition,[],[f46,f71]) ).
fof(f298,plain,
! [X2,X0,X1] : mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
inference(superposition,[],[f13,f71]) ).
fof(f453,plain,
! [X2,X0,X1] : ld(mult(X1,rd(ld(ld(X2,X1),X0),X2)),mult(X2,X0)) = X2,
inference(superposition,[],[f117,f10]) ).
fof(f656,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = rd(ld(X0,mult(X1,X0)),mult(X2,X0)),
inference(superposition,[],[f13,f159]) ).
fof(f787,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(mult(X0,X1),X0),X0),
inference(superposition,[],[f215,f11]) ).
fof(f810,plain,
! [X0,X1] : ld(ld(X1,X0),X1) = mult(ld(X0,X1),X1),
inference(superposition,[],[f787,f10]) ).
fof(f822,plain,
! [X0,X1] : ld(X1,rd(X0,X1)) = mult(ld(X0,rd(X0,X1)),rd(X0,X1)),
inference(superposition,[],[f787,f12]) ).
fof(f831,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f13,f787]) ).
fof(f885,plain,
! [X0,X1] : ld(X1,X0) = rd(X1,mult(ld(X0,X1),X1)),
inference(superposition,[],[f26,f810]) ).
fof(f960,plain,
! [X0,X1] : mult(mult(X1,X0),rd(ld(X0,X1),X1)) = X1,
inference(superposition,[],[f10,f831]) ).
fof(f961,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,rd(ld(X0,X1),X1)),
inference(superposition,[],[f26,f831]) ).
fof(f998,plain,
! [X0,X1] : rd(X1,mult(X0,X1)) = ld(X1,rd(X1,X0)),
inference(superposition,[],[f885,f25]) ).
fof(f1144,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X0,mult(X1,X0))),
inference(superposition,[],[f10,f998]) ).
fof(f1513,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X1) = mult(X0,rd(ld(ld(X1,X0),X2),X1)),
inference(superposition,[],[f248,f10]) ).
fof(f1731,plain,
! [X0,X1] : ld(X0,X1) = mult(mult(ld(X0,X1),ld(mult(X1,X0),X1)),rd(X1,ld(X0,X1))),
inference(superposition,[],[f261,f787]) ).
fof(f1807,plain,
! [X0,X1] : ld(X0,X1) = mult(mult(ld(X0,X1),ld(mult(X1,X0),X1)),X0),
inference(forward_demodulation,[],[f1731,f26]) ).
fof(f1814,plain,
! [X0,X1] : ld(X0,X1) = mult(mult(ld(X0,X1),rd(ld(X0,X1),X1)),X0),
inference(forward_demodulation,[],[f1807,f831]) ).
fof(f1921,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = mult(X1,rd(ld(X1,X0),mult(X2,X1))),
inference(superposition,[],[f298,f10]) ).
fof(f2148,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(rd(ld(ld(X0,mult(X0,X1)),X1),X0),mult(X0,X1)),
inference(superposition,[],[f787,f453]) ).
fof(f2177,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(rd(ld(X1,X1),X0),mult(X0,X1)),
inference(forward_demodulation,[],[f2148,f11]) ).
fof(f2803,plain,
! [X2,X0,X1] : ld(X2,rd(mult(X0,X1),X0)) = rd(ld(ld(X0,X2),X1),X0),
inference(superposition,[],[f11,f1513]) ).
fof(f3185,plain,
! [X2,X0,X1] : mult(X2,rd(ld(X2,X1),X0)) = rd(rd(X1,X2),rd(X0,X2)),
inference(superposition,[],[f1921,f12]) ).
fof(f3526,plain,
! [X0,X1] : ld(X1,rd(X0,X1)) = mult(rd(X0,mult(X1,X0)),rd(X0,X1)),
inference(forward_demodulation,[],[f822,f998]) ).
fof(f3543,plain,
! [X0] : ld(X0,X0) = mult(X0,mult(ld(X0,ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f1814,f42]) ).
fof(f5757,plain,
! [X0] : rd(ld(X0,X0),mult(ld(X0,ld(X0,X0)),ld(X0,X0))) = X0,
inference(superposition,[],[f13,f3543]) ).
fof(f5847,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f5757,f885]) ).
fof(f5866,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f5847,f810]) ).
fof(f5883,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(superposition,[],[f885,f5866]) ).
fof(f5915,plain,
! [X0] : mult(mult(X0,ld(X0,X0)),rd(X0,X0)) = X0,
inference(superposition,[],[f261,f5866]) ).
fof(f5936,plain,
! [X0] : mult(ld(X0,X0),X0) = ld(rd(ld(X0,X0),ld(X0,X0)),X0),
inference(superposition,[],[f2177,f5866]) ).
fof(f5961,plain,
! [X0] : ld(rd(ld(X0,X0),ld(X0,X0)),X0) = X0,
inference(forward_demodulation,[],[f5936,f5866]) ).
fof(f5973,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f5915,f10]) ).
fof(f6274,plain,
! [X0] : mult(mult(X0,X0),rd(rd(X0,X0),X0)) = X0,
inference(superposition,[],[f960,f5883]) ).
fof(f6486,plain,
! [X0] : ld(rd(rd(X0,X0),rd(X0,X0)),X0) = X0,
inference(forward_demodulation,[],[f5961,f5883]) ).
fof(f6487,plain,
! [X0] : ld(mult(X0,rd(ld(X0,X0),X0)),X0) = X0,
inference(forward_demodulation,[],[f6486,f3185]) ).
fof(f6488,plain,
! [X0] : rd(ld(rd(ld(X0,X0),X0),X0),X0) = X0,
inference(forward_demodulation,[],[f6487,f831]) ).
fof(f6489,plain,
! [X0] : rd(ld(rd(rd(X0,X0),X0),X0),X0) = X0,
inference(forward_demodulation,[],[f6488,f5883]) ).
fof(f6497,plain,
! [X0] : rd(X0,X0) = mult(X0,rd(rd(X0,X0),X0)),
inference(superposition,[],[f961,f6489]) ).
fof(f6705,plain,
! [X0] : ld(X0,rd(X0,X0)) = rd(rd(X0,X0),X0),
inference(superposition,[],[f11,f6497]) ).
fof(f6808,plain,
! [X0] : rd(X0,mult(X0,X0)) = rd(rd(X0,X0),X0),
inference(forward_demodulation,[],[f6705,f998]) ).
fof(f7107,plain,
! [X0] : mult(mult(X0,X0),rd(X0,mult(X0,X0))) = X0,
inference(superposition,[],[f6274,f6808]) ).
fof(f7110,plain,
! [X0] : ld(rd(X0,mult(X0,X0)),rd(X0,X0)) = X0,
inference(superposition,[],[f25,f6808]) ).
fof(f7439,plain,
! [X0] : ld(rd(X0,mult(X0,X0)),X0) = mult(ld(rd(X0,mult(X0,X0)),X0),mult(X0,rd(X0,mult(X0,X0)))),
inference(superposition,[],[f46,f7107]) ).
fof(f7538,plain,
! [X0] : ld(rd(X0,mult(X0,X0)),X0) = mult(ld(rd(X0,mult(X0,X0)),X0),rd(X0,X0)),
inference(forward_demodulation,[],[f7439,f1144]) ).
fof(f7554,plain,
! [X0] : mult(X0,X0) = mult(mult(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f7538,f25]) ).
fof(f7903,plain,
! [X0] : mult(mult(X0,X0),X0) = mult(X0,mult(ld(X0,mult(X0,X0)),X0)),
inference(superposition,[],[f42,f7554]) ).
fof(f7988,plain,
! [X0] : mult(X0,mult(X0,X0)) = mult(mult(X0,X0),X0),
inference(forward_demodulation,[],[f7903,f11]) ).
fof(f8336,plain,
! [X0,X1] : ld(X0,rd(mult(X0,X0),X1)) = rd(ld(X0,mult(X0,mult(X0,X0))),mult(X1,X0)),
inference(superposition,[],[f656,f7988]) ).
fof(f8390,plain,
! [X0,X1] : ld(X0,rd(mult(X0,X0),X1)) = rd(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f8336,f11]) ).
fof(f43459,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,rd(mult(X0,X0),mult(X1,X0))),
inference(superposition,[],[f10,f8390]) ).
fof(f51099,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(rd(X1,mult(X2,X0)),X2)) = rd(ld(ld(X0,X2),X1),X0),
inference(forward_demodulation,[],[f292,f2803]) ).
fof(f52485,plain,
! [X0,X1] : rd(ld(ld(rd(X0,X0),X0),X1),rd(X0,X0)) = mult(ld(X0,rd(X0,X0)),mult(rd(X1,X0),X0)),
inference(superposition,[],[f51099,f5973]) ).
fof(f52869,plain,
! [X0,X1] : mult(ld(X0,rd(X0,X0)),X1) = rd(ld(ld(rd(X0,X0),X0),X1),rd(X0,X0)),
inference(forward_demodulation,[],[f52485,f12]) ).
fof(f52987,plain,
! [X0,X1] : mult(ld(X0,rd(X0,X0)),X1) = rd(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f52869,f25]) ).
fof(f53064,plain,
! [X0,X1] : mult(rd(X0,mult(X0,X0)),X1) = rd(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f52987,f998]) ).
fof(f53258,plain,
! [X0,X1] : ld(X0,X1) = mult(mult(rd(X0,mult(X0,X0)),X1),rd(X0,X0)),
inference(superposition,[],[f12,f53064]) ).
fof(f54139,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X1,rd(X0,mult(X0,X0))),mult(rd(X0,mult(X0,X0)),rd(X0,X0)))) = ld(X0,mult(ld(rd(X0,mult(X0,X0)),rd(X0,X0)),X1)),
inference(superposition,[],[f115,f53258]) ).
fof(f54302,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(rd(X0,X0),mult(rd(X1,rd(X0,mult(X0,X0))),mult(rd(X0,mult(X0,X0)),rd(X0,X0)))),
inference(forward_demodulation,[],[f54139,f7110]) ).
fof(f54360,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(rd(X0,X0),mult(rd(X1,rd(X0,mult(X0,X0))),ld(X0,rd(X0,X0)))),
inference(forward_demodulation,[],[f54302,f3526]) ).
fof(f54405,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(rd(X0,X0),mult(rd(X1,rd(X0,mult(X0,X0))),rd(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f54360,f998]) ).
fof(f54437,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(rd(X0,X0),X1),
inference(forward_demodulation,[],[f54405,f12]) ).
fof(f54458,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f54437,f11]) ).
fof(f54574,plain,
( sK0 != sK0
| spl2_1 ),
inference(superposition,[],[f19,f54458]) ).
fof(f54645,plain,
! [X0,X1] : rd(X1,X1) = rd(X0,X0),
inference(superposition,[],[f13,f54458]) ).
fof(f54863,plain,
( $false
| spl2_1 ),
inference(trivial_inequality_removal,[],[f54574]) ).
fof(f54864,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f54863]) ).
fof(f55774,plain,
( ! [X0] : sK0 != mult(sK0,rd(X0,X0))
| spl2_2 ),
inference(superposition,[],[f23,f54645]) ).
fof(f56231,plain,
( sK0 != rd(mult(sK0,sK0),sK0)
| spl2_2 ),
inference(superposition,[],[f55774,f43459]) ).
fof(f56234,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f56231,f13]) ).
fof(f56235,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f56234]) ).
cnf(s8,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s21711,plain,
spl2_1,
inference(sat_conversion,[],[f54864]) ).
cnf(s22376,plain,
spl2_2,
inference(sat_conversion,[],[f56235]) ).
cnf(s22381,plain,
$false,
inference(rat,[],[s8,s22376,s21711]) ).
fof(f56238,plain,
$false,
inference(avatar_sat_refutation,[],[s22381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP660+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:35:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 6.41/2.21 % (3344845)Will run a generic schedule for satisfiability detection.
% 6.41/2.21 % (3344851)% WARNING: option uhcvi not known.
% 6.41/2.21 % (3344852)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=320847968:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.41/2.21 % (3344851)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1704365614:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.41/2.21 % (3344856)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3937855214:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.41/2.21 % (3344850)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=510200330_2999 on theBenchmark for (2999ds/0Mi)
% 6.41/2.21 % (3344853)dis+10_1_sil=32000:sp=arity:random_seed=3883192231:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.41/2.21 % (3344854)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2508280113:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.41/2.21 % (3344855)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3776856469:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.41/2.21 % TRYING [1]
% 6.41/2.21 % TRYING [2]
% 6.41/2.21 % TRYING [3]
% 6.41/2.21 % TRYING [4]
% 6.41/2.21 % TRYING [5]
% 6.41/2.21 % TRYING [6]
% 6.41/2.21 % (3344853)Instruction limit reached!
% 6.41/2.21 % (3344853)------------------------------
% 6.41/2.21 % (3344853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344853)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344853)Termination reason: Instruction limit
% 6.41/2.21 % (3344853)Termination phase: Saturation
% 6.41/2.21 % (3344853)Time elapsed: 0.061 s
% 6.41/2.21 % (3344853)Peak memory usage: 12 MB
% 6.41/2.21 % (3344853)Instructions burned: 104 (million)
% 6.41/2.21 % (3344854)Instruction limit reached!
% 6.41/2.21 % (3344854)------------------------------
% 6.41/2.21 % (3344854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344854)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344854)Termination reason: Instruction limit
% 6.41/2.21 % (3344854)Termination phase: Saturation
% 6.41/2.21 % (3344854)Time elapsed: 0.075 s
% 6.41/2.21 % (3344854)Peak memory usage: 13 MB
% 6.41/2.21 % (3344854)Instructions burned: 117 (million)
% 6.41/2.21 % (3344864)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2718377397:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.41/2.21 % TRYING [1]
% 6.41/2.21 % TRYING [2]
% 6.41/2.21 % TRYING [3]
% 6.41/2.21 % TRYING [4]
% 6.41/2.21 % (3344865)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=616357127:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.41/2.21 % TRYING [5]
% 6.41/2.21 % (3344856)Instruction limit reached!
% 6.41/2.21 % (3344856)------------------------------
% 6.41/2.21 % (3344856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344856)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344856)Termination reason: Instruction limit
% 6.41/2.21 % (3344856)Termination phase: Saturation
% 6.41/2.21 % (3344856)Time elapsed: 0.100 s
% 6.41/2.21 % (3344856)Peak memory usage: 13 MB
% 6.41/2.21 % (3344856)Instructions burned: 160 (million)
% 6.41/2.21 % (3344868)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=1965331606:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.41/2.21 % (3344855)Instruction limit reached!
% 6.41/2.21 % (3344855)------------------------------
% 6.41/2.21 % (3344855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344855)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344855)Termination reason: Instruction limit
% 6.41/2.21 % (3344855)Termination phase: Saturation
% 6.41/2.21 % (3344855)Time elapsed: 0.120 s
% 6.41/2.21 % (3344855)Peak memory usage: 22 MB
% 6.41/2.21 % (3344855)Instructions burned: 133 (million)
% 6.41/2.21 % (3344870)ott-21_1_sil=16000:fs=off:random_seed=1614228217:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.41/2.21 % TRYING [6]
% 6.41/2.21 % (3344865)Instruction limit reached!
% 6.41/2.21 % (3344865)------------------------------
% 6.41/2.21 % (3344865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344865)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344865)Termination reason: Instruction limit
% 6.41/2.21 % (3344865)Termination phase: Saturation
% 6.41/2.21 % (3344865)Time elapsed: 0.086 s
% 6.41/2.21 % (3344865)Peak memory usage: 13 MB
% 6.41/2.21 % (3344865)Instructions burned: 131 (million)
% 6.41/2.21 % (3344872)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2405304158:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.41/2.21 % (3344870)Instruction limit reached!
% 6.41/2.21 % (3344870)------------------------------
% 6.41/2.21 % (3344870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344870)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344870)Termination reason: Instruction limit
% 6.41/2.21 % (3344870)Termination phase: Saturation
% 6.41/2.21 % (3344870)Time elapsed: 0.088 s
% 6.41/2.21 % (3344870)Peak memory usage: 12 MB
% 6.41/2.21 % (3344870)Instructions burned: 181 (million)
% 6.41/2.21 % (3344874)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1923912382:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.41/2.21 % TRYING [1]
% 6.41/2.21 % TRYING [2]
% 6.41/2.21 % TRYING [3]
% 6.41/2.21 % TRYING [4]
% 6.41/2.21 % TRYING [5]
% 6.41/2.21 % TRYING [7]
% 6.41/2.21 % TRYING [6]
% 6.41/2.21 % (3344872)Instruction limit reached!
% 6.41/2.21 % (3344872)------------------------------
% 6.41/2.21 % (3344872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344872)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344872)Termination reason: Instruction limit
% 6.41/2.21 % (3344872)Termination phase: Saturation
% 6.41/2.21 % (3344872)Time elapsed: 0.270 s
% 6.41/2.21 % (3344872)Peak memory usage: 17 MB
% 6.41/2.21 % (3344872)Instructions burned: 478 (million)
% 6.41/2.21 % (3344876)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2805385066:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 6.41/2.21 % (3344868)Instruction limit reached!
% 6.41/2.21 % (3344868)------------------------------
% 6.41/2.21 % (3344868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344868)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344868)Termination reason: Instruction limit
% 6.41/2.21 % (3344868)Termination phase: Saturation
% 6.41/2.21 % (3344868)Time elapsed: 0.383 s
% 6.41/2.21 % (3344868)Peak memory usage: 20 MB
% 6.41/2.21 % (3344868)Instructions burned: 685 (million)
% 6.41/2.21 % (3344864)Instruction limit reached!
% 6.41/2.21 % (3344864)------------------------------
% 6.41/2.21 % (3344864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344864)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344864)Termination reason: Instruction limit
% 6.41/2.21 % (3344864)Termination phase: Finite model building SAT solving
% 6.41/2.21 % (3344864)Time elapsed: 0.424 s
% 6.41/2.21 % (3344864)Peak memory usage: 21 MB
% 6.41/2.21 % (3344864)Instructions burned: 715 (million)
% 6.41/2.21 % (3344878)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1272712511:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.41/2.21 % (3344879)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=212218263:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.41/2.21 % TRYING [14]
% 6.41/2.21 % (3344874)Instruction limit reached!
% 6.41/2.21 % (3344874)------------------------------
% 6.41/2.21 % (3344874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344874)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344874)Termination reason: Instruction limit
% 6.41/2.21 % (3344874)Termination phase: Finite model building SAT solving
% 6.41/2.21 % (3344874)Time elapsed: 0.462 s
% 6.41/2.21 % (3344874)Peak memory usage: 15 MB
% 6.41/2.21 % (3344874)Instructions burned: 865 (million)
% 6.41/2.21 % (3344882)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2055424404:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 6.41/2.21 % (3344878)Instruction limit reached!
% 6.41/2.21 % (3344878)------------------------------
% 6.41/2.21 % (3344878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344878)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344878)Termination reason: Instruction limit
% 6.41/2.21 % (3344878)Termination phase: Finite model building constraint generation
% 6.41/2.21 % (3344878)Time elapsed: 0.324 s
% 6.41/2.21 % (3344878)Peak memory usage: 76 MB
% 6.41/2.21 % (3344878)Instructions burned: 889 (million)
% 6.41/2.21 % (3344884)fmb+10_1_sil=64000:random_seed=970421942:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.41/2.21 % TRYING [1]
% 6.41/2.21 % TRYING [2]
% 6.41/2.21 % TRYING [3]
% 6.41/2.21 % TRYING [4]
% 6.41/2.21 % TRYING [5]
% 6.41/2.21 % (3344879)Instruction limit reached!
% 6.41/2.21 % (3344879)------------------------------
% 6.41/2.21 % (3344879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344879)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344879)Termination reason: Instruction limit
% 6.41/2.21 % (3344879)Termination phase: Saturation
% 6.41/2.21 % (3344879)Time elapsed: 0.453 s
% 6.41/2.21 % (3344879)Peak memory usage: 21 MB
% 6.41/2.21 % (3344879)Instructions burned: 693 (million)
% 6.41/2.21 % TRYING [6]
% 6.41/2.21 % (3344886)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1986866501:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 6.41/2.21 % TRYING [20]
% 6.41/2.21 % (3344882)Instruction limit reached!
% 6.41/2.21 % (3344882)------------------------------
% 6.41/2.21 % (3344882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344882)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344882)Termination reason: Instruction limit
% 6.41/2.21 % (3344882)Termination phase: Saturation
% 6.41/2.21 % (3344882)Time elapsed: 0.484 s
% 6.41/2.21 % (3344882)Peak memory usage: 20 MB
% 6.41/2.21 % (3344882)Instructions burned: 881 (million)
% 6.41/2.21 % (3344888)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2752962021:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 6.41/2.21 % TRYING [8]
% 6.41/2.21 % (3344876)Instruction limit reached!
% 6.41/2.21 % (3344876)------------------------------
% 6.41/2.21 % (3344876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.21 % (3344876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.21 % (3344876)CaDiCaL version: 2.1.3
% 6.41/2.21 % (3344876)Termination reason: Instruction limit
% 6.41/2.21 % (3344876)Termination phase: Saturation
% 6.41/2.21 % (3344876)Time elapsed: 0.775 s
% 6.41/2.21 % (3344876)Peak memory usage: 28 MB
% 6.41/2.21 % (3344876)Instructions burned: 1179 (million)
% 6.41/2.21 % (3344890)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=948330204:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 6.41/2.21 % TRYING [7]
% 6.41/2.21 % (3344852) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3344845-3344852"...
% 6.41/2.21 % (3344852)...printing done.
% 6.41/2.21 % (3344852)Refutation found. Thanks to Tanya!
% 6.41/2.21 % SZS status Theorem for theBenchmark
% 6.41/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 6.41/2.22 % (3344852)------------------------------
% 6.41/2.22 % (3344852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/2.22 % (3344852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.22 % (3344852)CaDiCaL version: 2.1.3
% 6.41/2.22 % (3344852)Termination reason: Refutation
% 6.41/2.22 % (3344852)Time elapsed: 1.738 s
% 6.41/2.22 % (3344852)Peak memory usage: 43 MB
% 6.41/2.22 % (3344852)Instructions burned: 3382 (million)
% 6.41/2.22 % (3344845)Success in time 1.801 s
% 6.41/2.22 % Vampire exiting
%------------------------------------------------------------------------------