%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:32 AM UTC 2026
% Result : Unsatisfiable 3.15s 0.94s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 71 ( 57 unt; 3 def)
% Number of atoms : 89 ( 62 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,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)) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f13,f9,f5]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X0)))),inverse(multiply(inverse(X3),X3))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f1]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[],[f18,f1]) ).
fof(f38,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[],[f1,f18]) ).
fof(f57,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(X0))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f36]) ).
fof(f120,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X0))))))),inverse(multiply(inverse(X2),X2))) = X0,
inference(superposition,[],[f57,f1]) ).
fof(f123,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X2,
inference(superposition,[],[f36,f57]) ).
fof(f138,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f38,f57]) ).
fof(f191,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0))))))),X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f120]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f123,f123]) ).
fof(f1010,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f191,f120]) ).
fof(f2225,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[],[f123,f217]) ).
fof(f2370,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2225,f1010]) ).
fof(f2371,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X0)),
inference(superposition,[],[f2225,f38]) ).
fof(f2784,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f2370,f120]) ).
fof(f3094,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))))) = X1,
inference(superposition,[],[f1,f2784]) ).
fof(f3099,plain,
! [X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))))))) = X1,
inference(superposition,[],[f38,f2784]) ).
fof(f3148,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X2)),multiply(X3,X1)) = multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X0)),
inference(superposition,[],[f2371,f2784]) ).
fof(f3332,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0))))))) = X1,
inference(superposition,[],[f3099,f2784]) ).
fof(f3596,plain,
! [X2,X3,X0] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3)),
inference(superposition,[],[f3148,f2784]) ).
fof(f4718,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0)))))) = X1,
inference(superposition,[],[f3094,f2784]) ).
fof(f4941,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[],[f4718,f4718]) ).
fof(f4995,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[],[f3332,f4718]) ).
fof(f5145,plain,
! [X2,X3] : inverse(inverse(multiply(X2,multiply(inverse(X3),X3)))) = X2,
inference(forward_demodulation,[],[f4995,f4718]) ).
fof(f5172,plain,
! [X2,X3] : inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f4941,f4718]) ).
fof(f5246,plain,
! [X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f5145,f3596]) ).
fof(f5382,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f5172,f3596]) ).
fof(f5942,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f5172,f5382]) ).
fof(f7879,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(inverse(X1))),inverse(inverse(X1))))))) = X1,
inference(superposition,[],[f36,f5246]) ).
fof(f8225,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f7879,f5942]) ).
fof(f8502,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f8225,f5382]) ).
fof(f10542,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[],[f138,f8502]) ).
fof(f10635,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = X1,
inference(forward_demodulation,[],[f10542,f5942]) ).
fof(f10877,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f10635,f2784]) ).
fof(f10880,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(superposition,[],[f10635,f5382]) ).
fof(f10896,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f10635,f5382]) ).
fof(f11294,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),X0)),inverse(inverse(multiply(X0,X1))))),inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f138,f10896]) ).
fof(f11297,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(inverse(X2),X2),X0)),inverse(inverse(multiply(X0,X1)))) = X1,
inference(forward_demodulation,[],[f11294,f5942]) ).
fof(f11408,plain,
! [X0,X1] : multiply(inverse(X0),inverse(inverse(multiply(X0,X1)))) = X1,
inference(forward_demodulation,[],[f11297,f10896]) ).
fof(f12820,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X0))) = X0,
inference(superposition,[],[f10880,f11408]) ).
fof(f12947,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f12820,f10877]) ).
fof(f13128,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f12947,f5145]) ).
fof(f13649,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(inverse(multiply(X0,X1))),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))))),
inference(superposition,[],[f217,f13128]) ).
fof(f13664,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(inverse(multiply(X0,X1))),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f13649,f12947]) ).
fof(f13831,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(inverse(inverse(multiply(X0,X1))),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))),
inference(forward_demodulation,[],[f13664,f10896]) ).
fof(f13952,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[],[f13831,f5942]) ).
fof(f14029,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f13952,f12947]) ).
fof(f14069,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f14029,f12947]) ).
fof(f14086,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f14069,f5942]) ).
fof(f34271,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f14086]) ).
fof(f34387,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f34271]) ).
fof(f34388,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f34387]) ).
fof(f35197,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f10896]) ).
fof(f35198,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f35197]) ).
fof(f35199,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f2784]) ).
fof(f35200,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f35199]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s11474,plain,
spl0_1,
inference(sat_conversion,[],[f34388]) ).
cnf(s11587,plain,
spl0_2,
inference(sat_conversion,[],[f35198]) ).
cnf(s11588,plain,
spl0_3,
inference(sat_conversion,[],[f35200]) ).
cnf(s11589,plain,
$false,
inference(rat,[],[s4,s11588,s11587,s11474]) ).
fof(f35201,plain,
$false,
inference(avatar_sat_refutation,[],[s11589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.35 % Computer : n003.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 09:18:40 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 Running first-order model finding
% 0.12/0.39 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
% 3.15/0.94 % (235686)Will run a generic schedule for satisfiability detection.
% 3.15/0.94 % (235693)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1974085011:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.15/0.94 % (235692)% WARNING: option uhcvi not known.
% 3.15/0.94 % (235692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=995033499:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.15/0.94 % (235694)dis+10_1_sil=32000:sp=arity:random_seed=1553313130:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.15/0.94 % (235695)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3176729170:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.15/0.94 % (235696)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3410824325:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.15/0.94 % (235697)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1736994926:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.15/0.94 % (235691)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3713673232_2999 on theBenchmark for (2999ds/0Mi)
% 3.15/0.94 % TRYING [1]
% 3.15/0.94 % TRYING [2]
% 3.15/0.94 % TRYING [3]
% 3.15/0.94 % (235694)Instruction limit reached!
% 3.15/0.94 % (235694)------------------------------
% 3.15/0.94 % (235694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235694)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235694)Termination reason: Instruction limit
% 3.15/0.94 % (235694)Termination phase: Saturation
% 3.15/0.94 % (235694)Time elapsed: 0.052 s
% 3.15/0.94 % (235694)Peak memory usage: 11 MB
% 3.15/0.94 % (235694)Instructions burned: 104 (million)
% 3.15/0.94 % (235695)Instruction limit reached!
% 3.15/0.94 % (235695)------------------------------
% 3.15/0.94 % (235695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235695)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235695)Termination reason: Instruction limit
% 3.15/0.94 % (235695)Termination phase: Saturation
% 3.15/0.94 % (235695)Time elapsed: 0.064 s
% 3.15/0.94 % (235695)Peak memory usage: 13 MB
% 3.15/0.94 % (235695)Instructions burned: 117 (million)
% 3.15/0.94 % TRYING [4]
% 3.15/0.94 % (235696)Instruction limit reached!
% 3.15/0.94 % (235696)------------------------------
% 3.15/0.94 % (235696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235696)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235696)Termination reason: Instruction limit
% 3.15/0.94 % (235696)Termination phase: Saturation
% 3.15/0.94 % (235696)Time elapsed: 0.072 s
% 3.15/0.94 % (235696)Peak memory usage: 13 MB
% 3.15/0.94 % (235696)Instructions burned: 131 (million)
% 3.15/0.94 % (235705)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3069458203:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.15/0.94 % TRYING [1]
% 3.15/0.94 % TRYING [2]
% 3.15/0.94 % TRYING [3]
% 3.15/0.94 % (235706)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2229911774:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.15/0.94 % (235708)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=1419213635:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.15/0.94 % (235697)Instruction limit reached!
% 3.15/0.94 % (235697)------------------------------
% 3.15/0.94 % (235697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235697)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235697)Termination reason: Instruction limit
% 3.15/0.94 % (235697)Termination phase: Saturation
% 3.15/0.94 % (235697)Time elapsed: 0.092 s
% 3.15/0.94 % (235697)Peak memory usage: 13 MB
% 3.15/0.94 % (235697)Instructions burned: 160 (million)
% 3.15/0.94 % (235711)ott-21_1_sil=16000:fs=off:random_seed=653221569:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.15/0.94 % TRYING [4]
% 3.15/0.94 % (235706)Instruction limit reached!
% 3.15/0.94 % (235706)------------------------------
% 3.15/0.94 % (235706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235706)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235706)Termination reason: Instruction limit
% 3.15/0.94 % (235706)Termination phase: Saturation
% 3.15/0.94 % (235706)Time elapsed: 0.067 s
% 3.15/0.94 % (235706)Peak memory usage: 13 MB
% 3.15/0.94 % (235706)Instructions burned: 132 (million)
% 3.15/0.94 % (235713)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3596890723:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.15/0.94 % (235711)Instruction limit reached!
% 3.15/0.94 % (235711)------------------------------
% 3.15/0.94 % (235711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235711)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235711)Termination reason: Instruction limit
% 3.15/0.94 % (235711)Termination phase: Saturation
% 3.15/0.94 % (235711)Time elapsed: 0.086 s
% 3.15/0.94 % (235711)Peak memory usage: 12 MB
% 3.15/0.94 % (235711)Instructions burned: 181 (million)
% 3.15/0.94 % (235715)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2907717058:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.15/0.94 % TRYING [1]
% 3.15/0.94 % TRYING [2]
% 3.15/0.94 % TRYING [3]
% 3.15/0.94 % TRYING [4]
% 3.15/0.94 % (235713)Instruction limit reached!
% 3.15/0.94 % (235713)------------------------------
% 3.15/0.94 % (235713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235713)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235713)Termination reason: Instruction limit
% 3.15/0.94 % (235713)Termination phase: Saturation
% 3.15/0.94 % (235713)Time elapsed: 0.226 s
% 3.15/0.94 % (235713)Peak memory usage: 14 MB
% 3.15/0.94 % (235713)Instructions burned: 478 (million)
% 3.15/0.94 % (235717)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=478615528:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.15/0.94 % (235708)Instruction limit reached!
% 3.15/0.94 % (235708)------------------------------
% 3.15/0.94 % (235708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235708)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235708)Termination reason: Instruction limit
% 3.15/0.94 % (235708)Termination phase: Saturation
% 3.15/0.94 % (235708)Time elapsed: 0.330 s
% 3.15/0.94 % (235708)Peak memory usage: 15 MB
% 3.15/0.94 % (235708)Instructions burned: 685 (million)
% 3.15/0.94 % (235719)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=505334149:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.15/0.94 % TRYING [14]
% 3.15/0.94 % (235705)Instruction limit reached!
% 3.15/0.94 % (235705)------------------------------
% 3.15/0.94 % (235705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235705)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235705)Termination reason: Instruction limit
% 3.15/0.94 % (235705)Termination phase: Finite model building SAT solving
% 3.15/0.94 % (235705)Time elapsed: 0.404 s
% 3.15/0.94 % (235705)Peak memory usage: 12 MB
% 3.15/0.94 % (235705)Instructions burned: 715 (million)
% 3.15/0.94 % (235693) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-235686-235693"...
% 3.15/0.94 % (235721)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=2199683858: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)
% 3.15/0.94 % (235693)...printing done.
% 3.15/0.94 % (235693)Refutation found. Thanks to Tanya!
% 3.15/0.94 % SZS status Unsatisfiable for theBenchmark
% 3.15/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 3.15/0.94 % (235693)------------------------------
% 3.15/0.94 % (235693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.94 % (235693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.94 % (235693)CaDiCaL version: 2.1.3
% 3.15/0.94 % (235693)Termination reason: Refutation
% 3.15/0.94 % (235693)Time elapsed: 0.506 s
% 3.15/0.94 % (235693)Peak memory usage: 28 MB
% 3.15/0.94 % (235693)Instructions burned: 1931 (million)
% 3.15/0.94 % (235686)Success in time 0.541 s
% 3.15/0.94 % Vampire exiting
%------------------------------------------------------------------------------