%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP660+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 10:18:29 AM UTC 2026
% Result : Theorem 8.26s 2.03s
% Output : Refutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 8
% Syntax : Number of formulae : 107 ( 93 unt; 2 def)
% Number of atoms : 121 ( 102 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 182 ( 0 sgn 180 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
! [X0,X1] :
( mult(X0,ld(X1,X1)) = X0
& mult(ld(X1,X1),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( mult(X0,ld(X1,X1)) = X0
& mult(ld(X1,X1),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
? [X0,X1] :
( mult(X0,ld(X1,X1)) != X0
| mult(ld(X1,X1),X0) != X0 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( sK0 != mult(sK0,ld(sK1,sK1))
| sK0 != mult(ld(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,ld(sK1,sK1))
| sK0 != mult(ld(sK1,sK1),sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,definition,
( spl2_1
<=> sK0 = mult(ld(sK1,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f19,plain,
( sK0 != mult(ld(sK1,sK1),sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl2_2
<=> sK0 = mult(sK0,ld(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f23,plain,
( sK0 != mult(sK0,ld(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(f32,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,rd(X0,X1)))) = mult(mult(X0,X2),rd(X0,X1)),
inference(superposition,[],[f14,f12]) ).
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(f37,plain,
! [X2,X0,X1] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[],[f11,f14]) ).
fof(f40,plain,
! [X2,X0,X1] : mult(mult(X2,X1),ld(X1,X0)) = mult(ld(X1,X0),mult(ld(ld(X1,X0),X2),X0)),
inference(superposition,[],[f31,f10]) ).
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(f45,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),mult(ld(X2,X0),mult(X1,X2))) = X2,
inference(superposition,[],[f13,f31]) ).
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(f156,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,X2),mult(ld(X2,X0),X1)),
inference(superposition,[],[f46,f10]) ).
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(f252,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X1) = mult(mult(X1,rd(X0,X2)),rd(X2,X1)),
inference(superposition,[],[f67,f12]) ).
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(f584,plain,
! [X2,X0,X1] : ld(X0,X2) = rd(ld(X0,mult(X1,X0)),mult(ld(X2,X1),X0)),
inference(superposition,[],[f13,f156]) ).
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(f786,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),rd(X0,X1)),X1) = ld(X2,ld(X1,X0)),
inference(superposition,[],[f215,f12]) ).
fof(f787,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(mult(X0,X1),X0),X0),
inference(superposition,[],[f215,f11]) ).
fof(f830,plain,
! [X0,X1] : ld(ld(mult(X1,X0),X1),ld(X0,X1)) = X1,
inference(superposition,[],[f11,f787]) ).
fof(f831,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f13,f787]) ).
fof(f921,plain,
! [X0,X1] : ld(ld(mult(X1,rd(X1,X0)),X1),X0) = X1,
inference(superposition,[],[f830,f25]) ).
fof(f1698,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = mult(X1,rd(ld(X1,X0),mult(X2,X1))),
inference(superposition,[],[f298,f10]) ).
fof(f2076,plain,
! [X2,X0,X1] : ld(X1,X2) = rd(ld(X1,X0),mult(ld(X2,rd(X0,X1)),X1)),
inference(superposition,[],[f584,f12]) ).
fof(f2174,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X1),X2)) = rd(ld(X1,X0),mult(X2,X1)),
inference(superposition,[],[f656,f12]) ).
fof(f2199,plain,
! [X0,X1] : ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(superposition,[],[f656,f831]) ).
fof(f2250,plain,
! [X2,X0,X1] : ld(ld(X1,X0),ld(X1,X2)) = mult(ld(X0,rd(X2,X1)),X1),
inference(superposition,[],[f786,f10]) ).
fof(f2882,plain,
! [X2,X0,X1] : mult(X2,rd(ld(X2,X1),X0)) = rd(rd(X1,X2),rd(X0,X2)),
inference(superposition,[],[f1698,f12]) ).
fof(f4168,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X0) = mult(ld(X2,rd(mult(X1,X0),X1)),X1),
inference(superposition,[],[f2250,f11]) ).
fof(f5528,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f2199,f252]) ).
fof(f5631,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f5528,f13]) ).
fof(f5647,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f5631,f11]) ).
fof(f5656,plain,
! [X0] : ld(X0,rd(X0,X0)) = rd(ld(X0,X0),mult(rd(X0,X0),X0)),
inference(superposition,[],[f2076,f5647]) ).
fof(f5660,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f10,f5647]) ).
fof(f5710,plain,
! [X0] : ld(X0,rd(X0,X0)) = ld(X0,rd(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[],[f5656,f2174]) ).
fof(f5730,plain,
! [X0] : ld(X0,rd(X0,X0)) = ld(X0,mult(X0,rd(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f5710,f2882]) ).
fof(f5741,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f5730,f11]) ).
fof(f5745,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f5741,f831]) ).
fof(f5749,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f32,f5660]) ).
fof(f5752,plain,
! [X0] : mult(rd(X0,X0),X0) = mult(X0,mult(ld(X0,rd(X0,X0)),X0)),
inference(superposition,[],[f42,f5660]) ).
fof(f5847,plain,
! [X0] : mult(X0,mult(ld(X0,rd(X0,X0)),X0)) = X0,
inference(forward_demodulation,[],[f5752,f12]) ).
fof(f5849,plain,
! [X0] : rd(mult(X0,X0),X0) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f5749,f252]) ).
fof(f5887,plain,
! [X0] : mult(rd(X0,X0),mult(X0,rd(X0,X0))) = X0,
inference(forward_demodulation,[],[f5849,f13]) ).
fof(f6041,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(superposition,[],[f787,f5745]) ).
fof(f6268,plain,
! [X0] : rd(X0,X0) = ld(mult(mult(rd(X0,X0),rd(X0,X0)),X0),mult(rd(X0,X0),X0)),
inference(superposition,[],[f37,f5887]) ).
fof(f6270,plain,
! [X0] : mult(X0,rd(X0,X0)) = ld(rd(X0,X0),X0),
inference(superposition,[],[f11,f5887]) ).
fof(f6356,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f6270,f25]) ).
fof(f6358,plain,
! [X0] : rd(X0,X0) = ld(mult(mult(rd(X0,X0),rd(X0,X0)),X0),X0),
inference(forward_demodulation,[],[f6268,f12]) ).
fof(f6376,plain,
! [X0] : rd(X0,X0) = ld(mult(X0,mult(ld(X0,rd(X0,X0)),X0)),X0),
inference(forward_demodulation,[],[f6358,f42]) ).
fof(f6385,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f6376,f5847]) ).
fof(f6441,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(ld(X0,X0),X0),
inference(superposition,[],[f787,f6356]) ).
fof(f6485,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f6441,f25]) ).
fof(f6780,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f6041,f6385]) ).
fof(f6790,plain,
! [X0] : mult(ld(X0,X0),ld(X0,X0)) = ld(X0,mult(ld(X0,X0),X0)),
inference(superposition,[],[f156,f6780]) ).
fof(f6890,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f6790,f6485]) ).
fof(f9691,plain,
! [X0,X1] : ld(ld(rd(X0,X0),X1),mult(X0,rd(X0,X0))) = mult(ld(X1,rd(X0,rd(X0,X0))),rd(X0,X0)),
inference(superposition,[],[f4168,f5887]) ).
fof(f9831,plain,
! [X0,X1] : mult(ld(X1,rd(X0,ld(X0,X0))),ld(X0,X0)) = ld(ld(ld(X0,X0),X1),mult(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f9691,f6385]) ).
fof(f9885,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,rd(X0,ld(X0,X0))),ld(X0,X0)),
inference(forward_demodulation,[],[f9831,f10]) ).
fof(f9909,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f9885,f26]) ).
fof(f26157,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(mult(ld(X1,X1),X0),X1),ld(X1,X1)),
inference(superposition,[],[f9909,f11]) ).
fof(f31523,plain,
! [X0,X1] : rd(mult(mult(X1,ld(ld(X1,X1),X0)),X1),mult(mult(X0,X1),ld(X1,X1))) = X1,
inference(superposition,[],[f45,f40]) ).
fof(f47800,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(ld(ld(X1,X1),ld(X1,X1)),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),ld(ld(X1,X1),ld(X1,X1)))),
inference(superposition,[],[f31523,f26157]) ).
fof(f48013,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(mult(ld(X1,rd(X1,X1)),X1),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),mult(ld(X1,rd(X1,X1)),X1))),
inference(forward_demodulation,[],[f47800,f2250]) ).
fof(f48106,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(mult(ld(X1,ld(X1,X1)),X1),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),mult(ld(X1,ld(X1,X1)),X1))),
inference(forward_demodulation,[],[f48013,f6385]) ).
fof(f48178,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(ld(X1,X1),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f48106,f6780]) ).
fof(f48233,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(ld(mult(ld(X1,X1),X0),X1),ld(X1,X1)),mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f48178,f10]) ).
fof(f48271,plain,
! [X0,X1] : ld(X1,X1) = rd(ld(X0,X1),mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f48233,f26157]) ).
fof(f48401,plain,
! [X0,X1] : ld(X1,X1) = rd(X0,mult(X0,ld(X1,X1))),
inference(superposition,[],[f48271,f921]) ).
fof(f48899,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = X1,
inference(superposition,[],[f12,f48401]) ).
fof(f49429,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),ld(mult(ld(X0,X0),ld(X0,X0)),X1)),
inference(superposition,[],[f35,f48899]) ).
fof(f49551,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f49429,f6890]) ).
fof(f49629,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(forward_demodulation,[],[f49551,f10]) ).
fof(f49848,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(superposition,[],[f48899,f49629]) ).
fof(f51663,plain,
( sK0 != sK0
| spl2_1 ),
inference(superposition,[],[f19,f49848]) ).
fof(f51915,plain,
( $false
| spl2_1 ),
inference(trivial_inequality_removal,[],[f51663]) ).
fof(f51916,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f51915]) ).
fof(f52432,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f23,f49629]) ).
fof(f52433,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f52432]) ).
cnf(s8,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s19277,plain,
spl2_1,
inference(sat_conversion,[],[f51916]) ).
cnf(s19447,plain,
spl2_2,
inference(sat_conversion,[],[f52433]) ).
cnf(s19448,plain,
$false,
inference(rat,[],[s8,s19447,s19277]) ).
fof(f52434,plain,
$false,
inference(avatar_sat_refutation,[],[s19448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n010.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:33:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.26/2.02 % (764751)Will run a generic schedule for satisfiability detection.
% 8.26/2.02 % (764762)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=78800490:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.26/2.02 % (764757)% WARNING: option uhcvi not known.
% 8.26/2.02 % (764760)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1219570865:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.26/2.02 % (764756)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3498916579_2999 on theBenchmark for (2999ds/0Mi)
% 8.26/2.02 % (764757)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2751985647:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.26/2.02 % (764759)dis+10_1_sil=32000:sp=arity:random_seed=3514760654:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.26/2.02 % (764758)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1670794642:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.26/2.02 % (764761)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1308738211:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.26/2.02 % TRYING [1]
% 8.26/2.02 % TRYING [2]
% 8.26/2.02 % TRYING [3]
% 8.26/2.02 % TRYING [4]
% 8.26/2.02 % TRYING [5]
% 8.26/2.02 % (764762)Instruction limit reached!
% 8.26/2.02 % (764762)------------------------------
% 8.26/2.02 % (764762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764762)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764762)Termination reason: Instruction limit
% 8.26/2.02 % (764762)Termination phase: Saturation
% 8.26/2.02 % (764762)Time elapsed: 0.052 s
% 8.26/2.02 % (764762)Peak memory usage: 13 MB
% 8.26/2.02 % (764762)Instructions burned: 159 (million)
% 8.26/2.02 % (764770)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3464667357:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.26/2.02 % TRYING [1]
% 8.26/2.02 % TRYING [2]
% 8.26/2.02 % TRYING [6]
% 8.26/2.02 % TRYING [3]
% 8.26/2.02 % (764759)Instruction limit reached!
% 8.26/2.02 % (764759)------------------------------
% 8.26/2.02 % (764759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764759)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764759)Termination reason: Instruction limit
% 8.26/2.02 % (764759)Termination phase: Saturation
% 8.26/2.02 % (764759)Time elapsed: 0.059 s
% 8.26/2.02 % (764759)Peak memory usage: 12 MB
% 8.26/2.02 % (764759)Instructions burned: 104 (million)
% 8.26/2.02 % TRYING [4]
% 8.26/2.02 % TRYING [5]
% 8.26/2.02 % (764760)Instruction limit reached!
% 8.26/2.02 % (764760)------------------------------
% 8.26/2.02 % (764760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764760)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764760)Termination reason: Instruction limit
% 8.26/2.02 % (764760)Termination phase: Saturation
% 8.26/2.02 % (764760)Time elapsed: 0.072 s
% 8.26/2.02 % (764760)Peak memory usage: 13 MB
% 8.26/2.02 % (764760)Instructions burned: 116 (million)
% 8.26/2.02 % (764772)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1352555029:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.26/2.02 % (764773)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=1738219367:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.26/2.02 % TRYING [6]
% 8.26/2.02 % (764761)Instruction limit reached!
% 8.26/2.02 % (764761)------------------------------
% 8.26/2.02 % (764761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764761)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764761)Termination reason: Instruction limit
% 8.26/2.02 % (764761)Termination phase: Saturation
% 8.26/2.02 % (764761)Time elapsed: 0.117 s
% 8.26/2.02 % (764761)Peak memory usage: 22 MB
% 8.26/2.02 % (764761)Instructions burned: 132 (million)
% 8.26/2.02 % (764776)ott-21_1_sil=16000:fs=off:random_seed=4033959841:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.26/2.02 % (764772)Instruction limit reached!
% 8.26/2.02 % (764772)------------------------------
% 8.26/2.02 % (764772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764772)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764772)Termination reason: Instruction limit
% 8.26/2.02 % (764772)Termination phase: Saturation
% 8.26/2.02 % (764772)Time elapsed: 0.085 s
% 8.26/2.02 % (764772)Peak memory usage: 14 MB
% 8.26/2.02 % (764772)Instructions burned: 132 (million)
% 8.26/2.02 % (764778)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2143464649:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.26/2.02 % (764776)Instruction limit reached!
% 8.26/2.02 % (764776)------------------------------
% 8.26/2.02 % (764776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764776)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764776)Termination reason: Instruction limit
% 8.26/2.02 % (764776)Termination phase: Saturation
% 8.26/2.02 % (764776)Time elapsed: 0.088 s
% 8.26/2.02 % (764776)Peak memory usage: 12 MB
% 8.26/2.02 % (764776)Instructions burned: 180 (million)
% 8.26/2.02 % (764780)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2858384530:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.26/2.02 % TRYING [1]
% 8.26/2.02 % TRYING [2]
% 8.26/2.02 % TRYING [3]
% 8.26/2.02 % TRYING [4]
% 8.26/2.02 % TRYING [5]
% 8.26/2.02 % (764770)Instruction limit reached!
% 8.26/2.02 % (764770)------------------------------
% 8.26/2.02 % (764770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764770)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764770)Termination reason: Instruction limit
% 8.26/2.02 % (764770)Termination phase: Finite model building SAT solving
% 8.26/2.02 % (764770)Time elapsed: 0.234 s
% 8.26/2.02 % (764770)Peak memory usage: 21 MB
% 8.26/2.02 % (764770)Instructions burned: 716 (million)
% 8.26/2.02 % (764782)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1409686952:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.26/2.02 % TRYING [7]
% 8.26/2.02 % TRYING [6]
% 8.26/2.02 % (764778)Instruction limit reached!
% 8.26/2.02 % (764778)------------------------------
% 8.26/2.02 % (764778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764778)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764778)Termination reason: Instruction limit
% 8.26/2.02 % (764778)Termination phase: Saturation
% 8.26/2.02 % (764778)Time elapsed: 0.267 s
% 8.26/2.02 % (764778)Peak memory usage: 17 MB
% 8.26/2.02 % (764778)Instructions burned: 477 (million)
% 8.26/2.02 % (764773)Instruction limit reached!
% 8.26/2.02 % (764773)------------------------------
% 8.26/2.02 % (764773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.02 % (764773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (764773)CaDiCaL version: 2.1.3
% 8.26/2.02 % (764773)Termination reason: Instruction limit
% 8.26/2.02 % (764773)Termination phase: Saturation
% 8.26/2.02 % (764773)Time elapsed: 0.380 s
% 8.26/2.02 % (764773)Peak memory usage: 20 MB
% 8.26/2.02 % (764773)Instructions burned: 685 (million)
% 8.26/2.02 % (764784)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3036530868:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.26/2.02 % (764786)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=73986789: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)
% 8.26/2.03 % TRYING [14]
% 8.26/2.03 % TRYING [7]
% 8.26/2.03 % (764780)Instruction limit reached!
% 8.26/2.03 % (764780)------------------------------
% 8.26/2.03 % (764780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764780)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764780)Termination reason: Instruction limit
% 8.26/2.03 % (764780)Termination phase: Finite model building SAT solving
% 8.26/2.03 % (764780)Time elapsed: 0.412 s
% 8.26/2.03 % (764780)Peak memory usage: 19 MB
% 8.26/2.03 % (764780)Instructions burned: 872 (million)
% 8.26/2.03 % (764788)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3614648247:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.26/2.03 % (764782)Instruction limit reached!
% 8.26/2.03 % (764782)------------------------------
% 8.26/2.03 % (764782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764782)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764782)Termination reason: Instruction limit
% 8.26/2.03 % (764782)Termination phase: Saturation
% 8.26/2.03 % (764782)Time elapsed: 0.403 s
% 8.26/2.03 % (764782)Peak memory usage: 27 MB
% 8.26/2.03 % (764782)Instructions burned: 1180 (million)
% 8.26/2.03 % (764790)fmb+10_1_sil=64000:random_seed=962229532:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.26/2.03 % TRYING [1]
% 8.26/2.03 % TRYING [2]
% 8.26/2.03 % TRYING [3]
% 8.26/2.03 % TRYING [4]
% 8.26/2.03 % TRYING [5]
% 8.26/2.03 % TRYING [6]
% 8.26/2.03 % (764784)Instruction limit reached!
% 8.26/2.03 % (764784)------------------------------
% 8.26/2.03 % (764784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764784)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764784)Termination reason: Instruction limit
% 8.26/2.03 % (764784)Termination phase: Finite model building constraint generation
% 8.26/2.03 % (764784)Time elapsed: 0.324 s
% 8.26/2.03 % (764784)Peak memory usage: 76 MB
% 8.26/2.03 % (764784)Instructions burned: 890 (million)
% 8.26/2.03 % (764792)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=571744568:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 8.26/2.03 % TRYING [20]
% 8.26/2.03 % TRYING [7]
% 8.26/2.03 % (764786)Instruction limit reached!
% 8.26/2.03 % (764786)------------------------------
% 8.26/2.03 % (764786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764786)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764786)Termination reason: Instruction limit
% 8.26/2.03 % (764786)Termination phase: Saturation
% 8.26/2.03 % (764786)Time elapsed: 0.440 s
% 8.26/2.03 % (764786)Peak memory usage: 21 MB
% 8.26/2.03 % (764786)Instructions burned: 692 (million)
% 8.26/2.03 % (764794)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3826075859:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.26/2.03 % TRYING [8]
% 8.26/2.03 % (764788)Instruction limit reached!
% 8.26/2.03 % (764788)------------------------------
% 8.26/2.03 % (764788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764788)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764788)Termination reason: Instruction limit
% 8.26/2.03 % (764788)Termination phase: Saturation
% 8.26/2.03 % (764788)Time elapsed: 0.487 s
% 8.26/2.03 % (764788)Peak memory usage: 20 MB
% 8.26/2.03 % (764788)Instructions burned: 881 (million)
% 8.26/2.03 % (764796)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1554177496:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 8.26/2.03 % (764794)Instruction limit reached!
% 8.26/2.03 % (764794)------------------------------
% 8.26/2.03 % (764794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764794)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764794)Termination reason: Instruction limit
% 8.26/2.03 % (764794)Termination phase: Finite model building SAT solving
% 8.26/2.03 % (764794)Time elapsed: 0.532 s
% 8.26/2.03 % (764794)Peak memory usage: 42 MB
% 8.26/2.03 % (764794)Instructions burned: 921 (million)
% 8.26/2.03 % (764798)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2580066731:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 8.26/2.03 % (764758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-764751-764758"...
% 8.26/2.03 % (764758)...printing done.
% 8.26/2.03 % (764758)Refutation found. Thanks to Tanya!
% 8.26/2.03 % SZS status Theorem for theBenchmark
% 8.26/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.26/2.03 % (764758)------------------------------
% 8.26/2.03 % (764758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/2.03 % (764758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.03 % (764758)CaDiCaL version: 2.1.3
% 8.26/2.03 % (764758)Termination reason: Refutation
% 8.26/2.03 % (764758)Time elapsed: 1.523 s
% 8.26/2.03 % (764758)Peak memory usage: 41 MB
% 8.26/2.03 % (764758)Instructions burned: 2931 (million)
% 8.26/2.03 % (764751)Success in time 1.586 s
% 8.26/2.03 % Vampire exiting
%------------------------------------------------------------------------------