%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP100-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:16:39 AM UTC 2026
% Result : Unsatisfiable 0.42s 0.56s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 9
% Syntax : Number of formulae : 97 ( 63 unt; 4 def)
% Number of atoms : 141 ( 90 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 41 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f10,definition,
( spl0_1
<=> double_divide(double_divide(b4,a4),identity) = double_divide(double_divide(a4,b4),identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f14,definition,
( spl0_2
<=> double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f16,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f18,definition,
( spl0_3
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f20,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f22,definition,
( spl0_4
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f8,f22,f18,f14,f10]) ).
fof(f28,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f29,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f30,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f28,f7]) ).
fof(f31,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f30]) ).
fof(f33,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))),
inference(backward_demodulation,[],[f29,f31]) ).
fof(f36,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),identity))),
inference(superposition,[],[f33,f7]) ).
fof(f37,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),double_divide(double_divide(identity,identity),identity))),
inference(superposition,[],[f33,f30]) ).
fof(f40,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,double_divide(identity,identity))),
inference(superposition,[],[f33,f30]) ).
fof(f41,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(double_divide(X0,identity),double_divide(double_divide(X2,identity),identity))),
inference(superposition,[],[f33,f33]) ).
fof(f45,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[],[f40,f7]) ).
fof(f46,plain,
! [X0] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(identity,X0),
inference(superposition,[],[f40,f30]) ).
fof(f48,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(double_divide(identity,identity),identity))),
inference(superposition,[],[f33,f40]) ).
fof(f50,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(double_divide(X1,double_divide(double_divide(X0,identity),identity)),double_divide(double_divide(X0,double_divide(identity,identity)),identity))),
inference(superposition,[],[f33,f40]) ).
fof(f51,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))),
inference(backward_demodulation,[],[f48,f45]) ).
fof(f52,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),double_divide(identity,identity))),
inference(backward_demodulation,[],[f37,f45]) ).
fof(f53,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(X0,identity)),
inference(forward_demodulation,[],[f51,f30]) ).
fof(f54,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f53,f7]) ).
fof(f55,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),identity)),
inference(backward_demodulation,[],[f52,f54]) ).
fof(f58,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(double_divide(X1,double_divide(double_divide(X0,identity),identity)),double_divide(double_divide(X0,identity),identity))),
inference(backward_demodulation,[],[f50,f54]) ).
fof(f60,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f30,f54]) ).
fof(f61,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(backward_demodulation,[],[f46,f60]) ).
fof(f62,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,identity),X1)),
inference(backward_demodulation,[],[f36,f60]) ).
fof(f63,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(double_divide(X0,identity),X2)),
inference(backward_demodulation,[],[f41,f60]) ).
fof(f65,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(double_divide(X1,X0),X0)),
inference(forward_demodulation,[],[f58,f60]) ).
fof(f107,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f62,f60]) ).
fof(f135,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),double_divide(identity,identity))),
inference(superposition,[],[f33,f55]) ).
fof(f138,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity)),
inference(forward_demodulation,[],[f135,f54]) ).
fof(f151,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),double_divide(identity,double_divide(X0,identity))),
inference(forward_demodulation,[],[f138,f61]) ).
fof(f156,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),X0),
inference(forward_demodulation,[],[f151,f107]) ).
fof(f159,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(X0,X1),X0),
inference(forward_demodulation,[],[f156,f61]) ).
fof(f161,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f159,f107]) ).
fof(f193,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(double_divide(X1,identity),identity),identity)),
inference(superposition,[],[f63,f55]) ).
fof(f195,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(X0,identity),double_divide(X1,X2)),double_divide(X0,X2)),
inference(superposition,[],[f63,f60]) ).
fof(f213,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(double_divide(X1,identity),identity))),
inference(forward_demodulation,[],[f193,f61]) ).
fof(f223,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
inference(forward_demodulation,[],[f213,f107]) ).
fof(f230,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f223,f61]) ).
fof(f251,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(X0,double_divide(X0,X1)),
inference(superposition,[],[f33,f161]) ).
fof(f264,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(X0,double_divide(X0,X1)),
inference(forward_demodulation,[],[f251,f61]) ).
fof(f276,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f264,f107]) ).
fof(f328,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(identity,double_divide(X0,X1)),
inference(superposition,[],[f65,f161]) ).
fof(f334,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(X0,X1),X1),
inference(superposition,[],[f161,f65]) ).
fof(f336,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X0,X1),X1),
inference(forward_demodulation,[],[f334,f61]) ).
fof(f337,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[],[f328,f61]) ).
fof(f339,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f336,f107]) ).
fof(f348,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f161,f276]) ).
fof(f388,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(X0,identity),X1)),
inference(superposition,[],[f230,f339]) ).
fof(f389,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
inference(superposition,[],[f230,f339]) ).
fof(f446,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,X2)) = double_divide(double_divide(X1,X2),double_divide(X0,identity)),
inference(superposition,[],[f107,f195]) ).
fof(f536,plain,
( double_divide(double_divide(a4,b4),identity) != double_divide(identity,double_divide(b4,a4))
| spl0_1 ),
inference(superposition,[],[f12,f348]) ).
fof(f560,plain,
( double_divide(double_divide(a4,b4),identity) != double_divide(identity,double_divide(a4,b4))
| spl0_1 ),
inference(forward_demodulation,[],[f536,f337]) ).
fof(f563,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f560,f61]) ).
fof(f564,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f566,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3))
| spl0_2 ),
inference(forward_demodulation,[],[f16,f61]) ).
fof(f568,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(c3,b3),double_divide(a3,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f566,f388]) ).
fof(f569,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,identity),double_divide(c3,b3))
| spl0_2 ),
inference(forward_demodulation,[],[f568,f348]) ).
fof(f570,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,identity),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f569,f348]) ).
fof(f571,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f570,f61]) ).
fof(f572,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity)))
| spl0_2 ),
inference(forward_demodulation,[],[f571,f61]) ).
fof(f573,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(c3,identity),double_divide(b3,a3))
| spl0_2 ),
inference(forward_demodulation,[],[f572,f389]) ).
fof(f574,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f573,f348]) ).
fof(f575,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(b3,identity),double_divide(c3,a3))
| spl0_2 ),
inference(forward_demodulation,[],[f574,f446]) ).
fof(f576,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(b3,identity),double_divide(a3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f575,f348]) ).
fof(f577,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(a3,c3),double_divide(b3,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f576,f348]) ).
fof(f578,plain,
( double_divide(double_divide(a3,identity),double_divide(b3,c3)) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f577,f446]) ).
fof(f579,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f578,f61]) ).
fof(f580,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f579]) ).
fof(f581,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f583,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f20,f339]) ).
fof(f584,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f596,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_4 ),
inference(forward_demodulation,[],[f24,f61]) ).
fof(f597,plain,
( identity != double_divide(double_divide(a1,identity),a1)
| spl0_4 ),
inference(forward_demodulation,[],[f596,f389]) ).
fof(f598,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f597,f161]) ).
fof(f599,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f598]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f25]) ).
cnf(s7,plain,
spl0_1,
inference(sat_conversion,[],[f564]) ).
cnf(s8,plain,
spl0_2,
inference(sat_conversion,[],[f581]) ).
cnf(s9,plain,
spl0_3,
inference(sat_conversion,[],[f584]) ).
cnf(s10,plain,
spl0_4,
inference(sat_conversion,[],[f599]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s9,s8,s7]) ).
fof(f600,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP100-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 09:21:36 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40 Running first-order model finding
% 0.08/0.40 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
% 0.42/0.56 % (3275489)Will run a generic schedule for satisfiability detection.
% 0.42/0.56 % (3275496)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2245621690:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.42/0.56 % (3275495)% WARNING: option uhcvi not known.
% 0.42/0.56 % (3275495)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3511051867:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.42/0.56 % (3275497)dis+10_1_sil=32000:sp=arity:random_seed=2727797651:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.42/0.56 % (3275498)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1616448762:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.42/0.56 % (3275499)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=869019911:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.42/0.56 % (3275500)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3953691527:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.42/0.56 % (3275494)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4019013680_2999 on theBenchmark for (2999ds/0Mi)
% 0.42/0.56 % TRYING [1]
% 0.42/0.56 % TRYING [2]
% 0.42/0.56 % TRYING [3]
% 0.42/0.56 % TRYING [4]
% 0.42/0.56 % (3275497)Instruction limit reached!
% 0.42/0.56 % (3275497)------------------------------
% 0.42/0.56 % (3275497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.56 % (3275497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.56 % (3275497)CaDiCaL version: 2.1.3
% 0.42/0.56 % (3275497)Termination reason: Instruction limit
% 0.42/0.56 % (3275497)Termination phase: Saturation
% 0.42/0.56 % (3275497)Time elapsed: 0.056 s
% 0.42/0.56 % (3275497)Peak memory usage: 12 MB
% 0.42/0.56 % (3275497)Instructions burned: 103 (million)
% 0.42/0.56 % (3275498)Instruction limit reached!
% 0.42/0.56 % (3275498)------------------------------
% 0.42/0.56 % (3275498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.56 % (3275498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.56 % (3275498)CaDiCaL version: 2.1.3
% 0.42/0.56 % (3275498)Termination reason: Instruction limit
% 0.42/0.56 % (3275498)Termination phase: Saturation
% 0.42/0.56 % (3275498)Time elapsed: 0.069 s
% 0.42/0.56 % (3275498)Peak memory usage: 13 MB
% 0.42/0.56 % (3275498)Instructions burned: 116 (million)
% 0.42/0.56 % TRYING [5]
% 0.42/0.56 % (3275508)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3329100872:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.42/0.56 % (3275499)Instruction limit reached!
% 0.42/0.56 % (3275499)------------------------------
% 0.42/0.56 % (3275499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.56 % (3275499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.56 % (3275499)CaDiCaL version: 2.1.3
% 0.42/0.56 % (3275499)Termination reason: Instruction limit
% 0.42/0.56 % (3275499)Termination phase: Saturation
% 0.42/0.56 % (3275499)Time elapsed: 0.077 s
% 0.42/0.56 % (3275499)Peak memory usage: 12 MB
% 0.42/0.56 % (3275499)Instructions burned: 132 (million)
% 0.42/0.56 % TRYING [1]
% 0.42/0.56 % TRYING [2]
% 0.42/0.56 % TRYING [3]
% 0.42/0.56 % TRYING [4]
% 0.42/0.56 % (3275509)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2863580109:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.42/0.56 % (3275500)Instruction limit reached!
% 0.42/0.56 % (3275500)------------------------------
% 0.42/0.56 % (3275500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.56 % (3275500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.56 % (3275500)CaDiCaL version: 2.1.3
% 0.42/0.56 % (3275500)Termination reason: Instruction limit
% 0.42/0.56 % (3275500)Termination phase: Saturation
% 0.42/0.56 % (3275500)Time elapsed: 0.095 s
% 0.42/0.56 % (3275500)Peak memory usage: 13 MB
% 0.42/0.56 % (3275500)Instructions burned: 159 (million)
% 0.42/0.56 % (3275511)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=2035282390:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.42/0.56 % (3275509) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3275489-3275509"...
% 0.42/0.56 % (3275509)...printing done.
% 0.42/0.56 % (3275514)ott-21_1_sil=16000:fs=off:random_seed=3546663637:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.42/0.56 % (3275509)Refutation found. Thanks to Tanya!
% 0.42/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.42/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.56 % (3275509)------------------------------
% 0.42/0.56 % (3275509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.56 % (3275509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.56 % (3275509)CaDiCaL version: 2.1.3
% 0.42/0.56 % (3275509)Termination reason: Refutation
% 0.42/0.56 % (3275509)Time elapsed: 0.024 s
% 0.42/0.56 % (3275509)Peak memory usage: 12 MB
% 0.42/0.56 % (3275509)Instructions burned: 36 (million)
% 0.42/0.56 % (3275489)Success in time 0.155 s
% 0.42/0.56 % Vampire exiting
%------------------------------------------------------------------------------