%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP094-1 : 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 10:16:38 AM UTC 2026
% Result : Unsatisfiable 0.98s 0.57s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 9
% Syntax : Number of formulae : 86 ( 62 unt; 4 def)
% Number of atoms : 120 ( 79 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 30 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 172 ( 0 sgn 172 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),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,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f3,f2,f2,f3,f2,f2,f2,f2,f2,f2]) ).
fof(f9,definition,
( spl0_1
<=> divide(a4,divide(identity,b4)) = divide(b4,divide(identity,a4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_3
<=> a2 = divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl0_4
<=> divide(divide(identity,a1),divide(identity,a1)) = divide(divide(identity,b1),divide(identity,b1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f23,plain,
( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| spl0_4 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7,f21,f17,f13,f9]) ).
fof(f25,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : divide(divide(identity,X0),divide(divide(divide(divide(X2,X0),X1),X3),divide(identity,divide(X1,X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f27,plain,
! [X0,X1] : divide(divide(identity,divide(X0,X1)),divide(identity,X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f28,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X0),X2) = divide(divide(identity,divide(X1,divide(identity,divide(X2,X3)))),divide(X0,X1)),
inference(superposition,[],[f1,f1]) ).
fof(f29,plain,
! [X2,X0,X1] : divide(X2,X1) = divide(divide(identity,divide(divide(divide(X1,X0),X2),identity)),X0),
inference(superposition,[],[f1,f1]) ).
fof(f30,plain,
! [X0,X1] : divide(divide(identity,divide(divide(X0,X1),X0)),identity) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f31,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f25,f4]) ).
fof(f32,plain,
! [X1] : divide(X1,identity) = X1,
inference(backward_demodulation,[],[f30,f31]) ).
fof(f33,plain,
! [X2,X0,X1] : divide(X2,X1) = divide(divide(identity,divide(divide(X1,X0),X2)),X0),
inference(backward_demodulation,[],[f29,f32]) ).
fof(f36,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f1,f32]) ).
fof(f39,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(identity,divide(X0,divide(identity,divide(X1,X2)))),
inference(superposition,[],[f31,f1]) ).
fof(f40,plain,
! [X0,X1] : divide(identity,divide(X0,identity)) = divide(divide(X1,X0),X1),
inference(superposition,[],[f31,f31]) ).
fof(f41,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f31,f32]) ).
fof(f47,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f36,f41]) ).
fof(f48,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(X1,X0),X1),
inference(forward_demodulation,[],[f40,f32]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X0),X2) = divide(divide(divide(X3,X1),X2),divide(X0,X1)),
inference(backward_demodulation,[],[f28,f39]) ).
fof(f57,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(divide(identity,X0),divide(identity,divide(identity,divide(X1,X2)))),
inference(superposition,[],[f27,f1]) ).
fof(f69,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(divide(identity,X0),divide(X1,X2)),
inference(forward_demodulation,[],[f57,f47]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : divide(divide(divide(identity,divide(X1,X2)),X0),divide(divide(divide(X2,X0),X1),X3)) = X3,
inference(backward_demodulation,[],[f26,f69]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : divide(X2,divide(identity,divide(divide(X1,X3),X0))) = divide(divide(identity,divide(divide(X0,X1),X2)),X3),
inference(superposition,[],[f33,f33]) ).
fof(f92,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(divide(X1,identity),X0)),
inference(superposition,[],[f32,f33]) ).
fof(f93,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(forward_demodulation,[],[f92,f32]) ).
fof(f103,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X2,X1),X0),divide(divide(divide(X2,X0),X1),X3)) = X3,
inference(backward_demodulation,[],[f74,f93]) ).
fof(f104,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(identity,divide(X0,divide(X2,X1))),
inference(backward_demodulation,[],[f39,f93]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(X0,X1),X2)),X3) = divide(X2,divide(X0,divide(X1,X3))),
inference(backward_demodulation,[],[f85,f93]) ).
fof(f108,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,divide(X1,X3))) = divide(divide(X2,divide(X0,X1)),X3),
inference(forward_demodulation,[],[f105,f93]) ).
fof(f109,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(divide(X2,X1),X0),
inference(forward_demodulation,[],[f104,f93]) ).
fof(f129,plain,
! [X2,X0,X1] : divide(divide(X0,X2),identity) = divide(divide(X0,X1),divide(X2,X1)),
inference(superposition,[],[f49,f32]) ).
fof(f133,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X2),X3) = divide(divide(divide(X1,divide(X2,X0)),X3),X0),
inference(superposition,[],[f49,f47]) ).
fof(f134,plain,
! [X2,X3,X0,X1] : divide(divide(X1,divide(X2,X0)),X3) = divide(divide(divide(X1,X2),X3),divide(identity,X0)),
inference(superposition,[],[f49,f48]) ).
fof(f150,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X1,X2),X3),divide(identity,X0)) = divide(X1,divide(X2,divide(X0,X3))),
inference(forward_demodulation,[],[f134,f108]) ).
fof(f151,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X2),X3) = divide(divide(X1,divide(X2,divide(X0,X3))),X0),
inference(forward_demodulation,[],[f133,f108]) ).
fof(f153,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(X2,X1)),
inference(forward_demodulation,[],[f129,f32]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X2),X3) = divide(divide(X1,X0),divide(X2,divide(X0,X3))),
inference(forward_demodulation,[],[f151,f109]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X1,divide(divide(X2,X3),X4)),X5) = divide(divide(divide(X1,divide(divide(divide(X2,X4),X3),X0)),X5),X0),
inference(superposition,[],[f49,f103]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X1,divide(divide(X2,X3),X4)),X5) = divide(divide(X1,divide(divide(divide(X2,X4),X3),divide(X0,X5))),X0),
inference(forward_demodulation,[],[f222,f108]) ).
fof(f261,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X1,divide(divide(X2,X3),X4)),X5) = divide(divide(X1,X0),divide(divide(divide(X2,X4),X3),divide(X0,X5))),
inference(forward_demodulation,[],[f226,f109]) ).
fof(f287,plain,
! [X2,X3,X1,X4,X5] : divide(divide(X1,divide(divide(X2,X3),X4)),X5) = divide(divide(X1,divide(divide(X2,X4),X3)),X5),
inference(forward_demodulation,[],[f261,f161]) ).
fof(f307,plain,
! [X2,X3,X1,X4,X5] : divide(divide(X1,divide(divide(X2,X3),X4)),X5) = divide(X1,divide(divide(X2,X4),divide(X3,X5))),
inference(forward_demodulation,[],[f287,f108]) ).
fof(f316,plain,
! [X2,X3,X1,X4,X5] : divide(X1,divide(divide(X2,X4),divide(X3,X5))) = divide(X1,divide(divide(X2,X3),divide(X4,X5))),
inference(forward_demodulation,[],[f307,f108]) ).
fof(f366,plain,
! [X2,X0,X1] : divide(identity,divide(divide(X0,X1),X2)) = divide(X1,divide(X0,X2)),
inference(superposition,[],[f93,f109]) ).
fof(f368,plain,
! [X2,X0,X1] : divide(X2,divide(X0,X1)) = divide(X1,divide(X0,X2)),
inference(forward_demodulation,[],[f366,f93]) ).
fof(f398,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = divide(divide(X1,X2),divide(identity,X0)),
inference(superposition,[],[f153,f48]) ).
fof(f400,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,X3)) = divide(divide(X2,divide(X1,X3)),divide(X0,X1)),
inference(superposition,[],[f153,f153]) ).
fof(f425,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,X3)) = divide(X1,divide(X0,divide(X2,divide(X1,X3)))),
inference(forward_demodulation,[],[f400,f368]) ).
fof(f427,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X2,divide(X0,X3))) = divide(divide(X1,X2),divide(X3,X0)),
inference(backward_demodulation,[],[f150,f398]) ).
fof(f445,plain,
! [X2,X3,X1,X4,X5] : divide(X1,divide(divide(X2,X3),divide(X4,X5))) = divide(X1,divide(X2,divide(X4,divide(X5,X3)))),
inference(backward_demodulation,[],[f316,f427]) ).
fof(f478,plain,
! [X2,X3,X1,X4,X5] : divide(X1,divide(X2,divide(X4,divide(X5,X3)))) = divide(X1,divide(X2,divide(X3,divide(X5,X4)))),
inference(forward_demodulation,[],[f445,f427]) ).
fof(f542,plain,
( divide(a4,divide(identity,b4)) != divide(a4,divide(identity,b4))
| spl0_1 ),
inference(superposition,[],[f11,f368]) ).
fof(f557,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f542]) ).
fof(f558,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f593,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f15,f108]) ).
fof(f594,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f595,plain,
( a2 != divide(a2,divide(identity,divide(divide(identity,b2),divide(identity,b2))))
| spl0_3 ),
inference(forward_demodulation,[],[f19,f368]) ).
fof(f596,plain,
( a2 != divide(a2,divide(identity,divide(b2,divide(identity,divide(identity,b2)))))
| spl0_3 ),
inference(forward_demodulation,[],[f595,f478]) ).
fof(f597,plain,
( a2 != divide(a2,divide(identity,divide(b2,b2)))
| spl0_3 ),
inference(forward_demodulation,[],[f596,f425]) ).
fof(f598,plain,
( a2 != divide(a2,divide(b2,b2))
| spl0_3 ),
inference(forward_demodulation,[],[f597,f93]) ).
fof(f599,plain,
( a2 != divide(b2,divide(b2,a2))
| spl0_3 ),
inference(forward_demodulation,[],[f598,f368]) ).
fof(f600,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f599,f47]) ).
fof(f601,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f603,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_4 ),
inference(forward_demodulation,[],[f23,f4]) ).
fof(f605,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f603,f4]) ).
fof(f606,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f605]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f558]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f594]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f601]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f606]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s4,s3]) ).
fof(f610,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP094-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:21:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.98/0.57 % (3276406)Will run a generic schedule for satisfiability detection.
% 0.98/0.57 % (3276426)dis+10_1_sil=32000:sp=arity:random_seed=979345296:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.98/0.57 % (3276424)% WARNING: option uhcvi not known.
% 0.98/0.57 % (3276423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2097050184_2999 on theBenchmark for (2999ds/0Mi)
% 0.98/0.57 % (3276424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3840845157:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.98/0.57 % (3276425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1363895977:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.98/0.57 % (3276428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2533228049:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.98/0.57 % (3276427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1061348239:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.98/0.57 % (3276429)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=336458855:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.98/0.57 % TRYING [1]
% 0.98/0.57 % TRYING [2]
% 0.98/0.57 % TRYING [3]
% 0.98/0.57 % TRYING [4]
% 0.98/0.57 % (3276426)Instruction limit reached!
% 0.98/0.57 % (3276426)------------------------------
% 0.98/0.57 % (3276426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (3276426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (3276426)CaDiCaL version: 2.1.3
% 0.98/0.57 % (3276426)Termination reason: Instruction limit
% 0.98/0.57 % (3276426)Termination phase: Saturation
% 0.98/0.57 % (3276426)Time elapsed: 0.031 s
% 0.98/0.57 % (3276426)Peak memory usage: 12 MB
% 0.98/0.57 % (3276426)Instructions burned: 103 (million)
% 0.98/0.57 % TRYING [5]
% 0.98/0.57 % (3276456)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3833348791:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.98/0.57 % TRYING [1]
% 0.98/0.57 % TRYING [2]
% 0.98/0.57 % TRYING [3]
% 0.98/0.57 % TRYING [4]
% 0.98/0.57 % TRYING [5]
% 0.98/0.57 % (3276427)Instruction limit reached!
% 0.98/0.57 % (3276427)------------------------------
% 0.98/0.57 % (3276427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (3276427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (3276427)CaDiCaL version: 2.1.3
% 0.98/0.57 % (3276427)Termination reason: Instruction limit
% 0.98/0.57 % (3276427)Termination phase: Saturation
% 0.98/0.57 % (3276427)Time elapsed: 0.068 s
% 0.98/0.57 % (3276427)Peak memory usage: 13 MB
% 0.98/0.57 % (3276427)Instructions burned: 116 (million)
% 0.98/0.57 % (3276428)Instruction limit reached!
% 0.98/0.57 % (3276428)------------------------------
% 0.98/0.57 % (3276428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (3276428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (3276428)CaDiCaL version: 2.1.3
% 0.98/0.57 % (3276428)Termination reason: Instruction limit
% 0.98/0.57 % (3276428)Termination phase: Saturation
% 0.98/0.57 % (3276428)Time elapsed: 0.080 s
% 0.98/0.57 % (3276428)Peak memory usage: 12 MB
% 0.98/0.57 % (3276428)Instructions burned: 131 (million)
% 0.98/0.57 % (3276474)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3501401221:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.98/0.57 % (3276480)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=2288807559:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.98/0.57 % (3276429)Instruction limit reached!
% 0.98/0.57 % (3276429)------------------------------
% 0.98/0.57 % (3276429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (3276429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (3276429)CaDiCaL version: 2.1.3
% 0.98/0.57 % (3276429)Termination reason: Instruction limit
% 0.98/0.57 % (3276429)Termination phase: Saturation
% 0.98/0.57 % (3276429)Time elapsed: 0.100 s
% 0.98/0.57 % (3276429)Peak memory usage: 13 MB
% 0.98/0.57 % (3276429)Instructions burned: 159 (million)
% 0.98/0.57 % TRYING [6]
% 0.98/0.57 % (3276474) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3276406-3276474"...
% 0.98/0.57 % (3276474)...printing done.
% 0.98/0.57 % (3276474)Refutation found. Thanks to Tanya!
% 0.98/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.98/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.58 % (3276474)------------------------------
% 0.98/0.58 % (3276474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.58 % (3276474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.58 % (3276474)CaDiCaL version: 2.1.3
% 0.98/0.58 % (3276474)Termination reason: Refutation
% 0.98/0.58 % (3276474)Time elapsed: 0.023 s
% 0.98/0.58 % (3276474)Peak memory usage: 12 MB
% 0.98/0.58 % (3276474)Instructions burned: 32 (million)
% 0.98/0.58 % (3276406)Success in time 0.159 s
% 0.98/0.58 % Vampire exiting
%------------------------------------------------------------------------------