%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 7.35s 2.73s
% Output : Refutation 7.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of formulae : 85 ( 71 unt; 3 def)
% Number of atoms : 103 ( 76 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 18 ( 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 : 197 ( 0 sgn 197 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/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/sandbox2/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(f17,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3)) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X1,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(X0),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))) = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f19,f19]) ).
fof(f31,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[],[f1,f19]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X1) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),X2))))))),multiply(X3,X2))),
inference(superposition,[],[f1,f26]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X4,X1)),multiply(X4,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X3,X5))),
inference(superposition,[],[f1,f26]) ).
fof(f79,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X2)),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)) = multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)),
inference(superposition,[],[f79,f1]) ).
fof(f158,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X4,X1))))),multiply(inverse(multiply(X4,X1)),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))))) = X3,
inference(superposition,[],[f31,f26]) ).
fof(f1916,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X1,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))))))))),multiply(X4,multiply(X1,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(superposition,[],[f1,f84]) ).
fof(f1921,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X1,X2)) = X3,
inference(forward_demodulation,[],[f1916,f59]) ).
fof(f2005,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))),
inference(superposition,[],[f84,f1921]) ).
fof(f2147,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f2005,f1921]) ).
fof(f2447,plain,
! [X2,X3,X0] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X2))),
inference(superposition,[],[f26,f2147]) ).
fof(f2449,plain,
! [X2,X0] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X2,
inference(superposition,[],[f31,f2147]) ).
fof(f2503,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X1)),multiply(X3,X2)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)),
inference(superposition,[],[f79,f2147]) ).
fof(f2739,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f2447,f1921]) ).
fof(f3090,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X2),X2)),
inference(superposition,[],[f2147,f2739]) ).
fof(f3963,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f2449,f2147]) ).
fof(f5220,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)))) = X1,
inference(superposition,[],[f1,f17]) ).
fof(f17249,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X2),X2))) = inverse(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X0)))),
inference(superposition,[],[f5220,f2449]) ).
fof(f17613,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f17249,f1921]) ).
fof(f18161,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f2147,f17613]) ).
fof(f18174,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f2739,f17613]) ).
fof(f18916,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) = multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(X0),X0)))),
inference(superposition,[],[f19,f18161]) ).
fof(f23550,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))),
inference(superposition,[],[f18916,f3090]) ).
fof(f24469,plain,
! [X0,X1,X4] : inverse(multiply(inverse(X1),X1)) = multiply(X0,inverse(multiply(X0,multiply(inverse(X4),X4)))),
inference(superposition,[],[f23550,f1]) ).
fof(f24614,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f23550,f2147]) ).
fof(f26190,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f18174,f24614]) ).
fof(f26526,plain,
! [X2,X0] : inverse(multiply(inverse(X2),X2)) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f26190,f3963]) ).
fof(f26654,plain,
! [X3,X0,X1] : multiply(inverse(X3),X3) = multiply(X0,inverse(multiply(X0,multiply(inverse(X1),X1)))),
inference(superposition,[],[f26526,f24469]) ).
fof(f27254,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))),multiply(X3,X1))),
inference(superposition,[],[f59,f26526]) ).
fof(f27341,plain,
! [X2,X3,X1] : multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))),
inference(forward_demodulation,[],[f27254,f3963]) ).
fof(f35590,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = X1,
inference(superposition,[],[f31,f27341]) ).
fof(f35628,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X0))))),multiply(inverse(multiply(X3,X0)),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f31,f27341]) ).
fof(f35736,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(multiply(X4,X1)),multiply(X4,X0)))))),multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(multiply(X5,multiply(X4,X0))),multiply(X5,multiply(X4,X0))))))) = X3,
inference(superposition,[],[f158,f27341]) ).
fof(f35915,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(multiply(X4,X1)),multiply(X4,X0)))))),multiply(multiply(inverse(X0),X1),multiply(inverse(multiply(X4,X0)),multiply(X4,X0))))) = X3,
inference(forward_demodulation,[],[f35736,f27341]) ).
fof(f35939,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X0)),X2)),multiply(inverse(multiply(X3,X0)),multiply(inverse(X0),X0)))) = X2,
inference(forward_demodulation,[],[f35628,f27341]) ).
fof(f35957,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(forward_demodulation,[],[f35590,f27341]) ).
fof(f36040,plain,
! [X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X0))),X3)),multiply(multiply(inverse(X0),X1),multiply(inverse(multiply(X4,X0)),multiply(X4,X0))))) = X3,
inference(forward_demodulation,[],[f35915,f27341]) ).
fof(f36046,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),X2) = X2,
inference(forward_demodulation,[],[f35939,f27341]) ).
fof(f36058,plain,
! [X3,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(inverse(X0),X1),X3)),multiply(multiply(inverse(X0),X1),multiply(inverse(multiply(X4,X0)),multiply(X4,X0))))) = X3,
inference(forward_demodulation,[],[f36040,f27341]) ).
fof(f36060,plain,
! [X3,X0,X4] : multiply(inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,X0))),X3) = X3,
inference(forward_demodulation,[],[f36058,f27341]) ).
fof(f36061,plain,
! [X3,X0] : multiply(multiply(inverse(X0),X0),X3) = X3,
inference(forward_demodulation,[],[f36060,f27341]) ).
fof(f36286,plain,
! [X2,X0,X1] : multiply(inverse(X1),X0) = inverse(multiply(inverse(X0),multiply(multiply(inverse(X2),X2),X1))),
inference(superposition,[],[f27341,f36061]) ).
fof(f36351,plain,
! [X0,X1] : multiply(inverse(X1),X0) = inverse(multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f36286,f36061]) ).
fof(f38732,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2))) = X0,
inference(superposition,[],[f3963,f36351]) ).
fof(f39103,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))),multiply(inverse(X2),X2)) = X0,
inference(forward_demodulation,[],[f38732,f36351]) ).
fof(f39447,plain,
! [X2,X0,X1] : multiply(multiply(inverse(inverse(multiply(inverse(X1),X1))),X0),multiply(inverse(X2),X2)) = X0,
inference(forward_demodulation,[],[f39103,f36351]) ).
fof(f39652,plain,
! [X2,X0] : multiply(X0,multiply(inverse(X2),X2)) = X0,
inference(forward_demodulation,[],[f39447,f35957]) ).
fof(f39872,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,inverse(multiply(X0,multiply(inverse(X1),X1))))) = X2,
inference(superposition,[],[f39652,f26654]) ).
fof(f40229,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(multiply(inverse(X1),X1)),X0),
inference(superposition,[],[f36351,f39652]) ).
fof(f40384,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f40229,f36046]) ).
fof(f40648,plain,
! [X2,X0] : multiply(X2,multiply(X0,inverse(X0))) = X2,
inference(forward_demodulation,[],[f39872,f39652]) ).
fof(f44105,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0)))))))))) = X1,
inference(superposition,[],[f5220,f40648]) ).
fof(f44193,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0)))))))) = X1,
inference(forward_demodulation,[],[f44105,f40384]) ).
fof(f44553,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(inverse(X0)),multiply(inverse(inverse(X0)),inverse(X0))))))) = X1,
inference(forward_demodulation,[],[f44193,f36351]) ).
fof(f44841,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,inverse(inverse(X0)))))) = X1,
inference(forward_demodulation,[],[f44553,f39652]) ).
fof(f45020,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(forward_demodulation,[],[f44841,f40384]) ).
fof(f58148,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(multiply(X0,X1))),X2)),
inference(superposition,[],[f2503,f45020]) ).
fof(f58457,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[],[f58148,f36046]) ).
fof(f58732,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f58457,f40384]) ).
fof(f68249,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f58732]) ).
fof(f68398,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f68249]) ).
fof(f68399,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f68398]) ).
fof(f69312,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f36061]) ).
fof(f69313,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f69312]) ).
fof(f69314,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f2147]) ).
fof(f69315,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f69314]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s32811,plain,
spl0_1,
inference(sat_conversion,[],[f68399]) ).
cnf(s32934,plain,
spl0_2,
inference(sat_conversion,[],[f69313]) ).
cnf(s32935,plain,
spl0_3,
inference(sat_conversion,[],[f69315]) ).
cnf(s32936,plain,
$false,
inference(rat,[],[s4,s32935,s32934,s32811]) ).
fof(f69316,plain,
$false,
inference(avatar_sat_refutation,[],[s32936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:17:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.27/2.68 % (3239325)Will run a generic schedule for satisfiability detection.
% 15.27/2.68 % (3239333)dis+10_1_sil=32000:sp=arity:random_seed=1385089356:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.27/2.68 % (3239331)% WARNING: option uhcvi not known.
% 15.27/2.68 % (3239331)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1940003394:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.27/2.68 % (3239332)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=613370605:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.27/2.68 % (3239334)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1392203800:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.27/2.68 % (3239335)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3000747330:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.27/2.68 % (3239330)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=727531558_2999 on theBenchmark for (2999ds/0Mi)
% 15.27/2.68 % TRYING [1]
% 15.27/2.68 % TRYING [2]
% 15.27/2.68 % TRYING [3]
% 15.27/2.68 % (3239336)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2042024772:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.27/2.68 % (3239333)Instruction limit reached!
% 15.27/2.68 % (3239333)------------------------------
% 15.27/2.68 % (3239333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.68 % (3239333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.68 % (3239333)CaDiCaL version: 2.1.3
% 15.27/2.68 % (3239333)Termination reason: Instruction limit
% 15.27/2.68 % (3239333)Termination phase: Saturation
% 15.27/2.68 % (3239333)Time elapsed: 0.029 s
% 15.27/2.68 % (3239333)Peak memory usage: 12 MB
% 15.27/2.68 % (3239333)Instructions burned: 107 (million)
% 15.27/2.68 % TRYING [4]
% 15.27/2.68 % (3239344)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1218239502:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.27/2.68 % TRYING [1]
% 15.27/2.68 % TRYING [2]
% 15.27/2.68 % TRYING [3]
% 15.27/2.68 % TRYING [4]
% 15.27/2.68 % (3239334)Instruction limit reached!
% 15.27/2.68 % (3239334)------------------------------
% 15.27/2.68 % (3239334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.68 % (3239334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.68 % (3239334)CaDiCaL version: 2.1.3
% 15.27/2.68 % (3239334)Termination reason: Instruction limit
% 15.27/2.68 % (3239334)Termination phase: Saturation
% 15.27/2.68 % (3239334)Time elapsed: 0.065 s
% 15.27/2.68 % (3239334)Peak memory usage: 12 MB
% 15.27/2.68 % (3239334)Instructions burned: 116 (million)
% 15.27/2.68 % (3239335)Instruction limit reached!
% 15.27/2.68 % (3239335)------------------------------
% 15.27/2.68 % (3239335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.68 % (3239335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.68 % (3239335)CaDiCaL version: 2.1.3
% 15.27/2.68 % (3239335)Termination reason: Instruction limit
% 15.27/2.68 % (3239335)Termination phase: Saturation
% 15.27/2.68 % (3239335)Time elapsed: 0.076 s
% 15.27/2.68 % (3239335)Peak memory usage: 13 MB
% 15.27/2.68 % (3239335)Instructions burned: 132 (million)
% 15.27/2.68 % (3239346)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1401275686:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.27/2.68 % (3239347)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=3026002572:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.27/2.68 % (3239346)Instruction limit reached!
% 15.27/2.68 % (3239346)------------------------------
% 15.27/2.68 % (3239346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.68 % (3239346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.68 % (3239346)CaDiCaL version: 2.1.3
% 15.27/2.68 % (3239346)Termination reason: Instruction limit
% 15.27/2.68 % (3239346)Termination phase: Saturation
% 15.27/2.68 % (3239346)Time elapsed: 0.074 s
% 15.27/2.68 % (3239346)Peak memory usage: 13 MB
% 15.27/2.68 % (3239346)Instructions burned: 134 (million)
% 15.27/2.68 % (3239336)Instruction limit reached!
% 15.27/2.68 % (3239336)------------------------------
% 15.27/2.68 % (3239336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.68 % (3239336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.68 % (3239336)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239336)Termination reason: Instruction limit
% 7.35/2.73 % (3239336)Termination phase: Saturation
% 7.35/2.73 % (3239336)Time elapsed: 0.155 s
% 7.35/2.73 % (3239336)Peak memory usage: 13 MB
% 7.35/2.73 % (3239336)Instructions burned: 159 (million)
% 7.35/2.73 % (3239350)ott-21_1_sil=16000:fs=off:random_seed=3610276805:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 7.35/2.73 % (3239351)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3290666766:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.35/2.73 % (3239344)Instruction limit reached!
% 7.35/2.73 % (3239344)------------------------------
% 7.35/2.73 % (3239344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239344)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239344)Termination reason: Instruction limit
% 7.35/2.73 % (3239344)Termination phase: Finite model building SAT solving
% 7.35/2.73 % (3239344)Time elapsed: 0.216 s
% 7.35/2.73 % (3239344)Peak memory usage: 12 MB
% 7.35/2.73 % (3239344)Instructions burned: 716 (million)
% 7.35/2.73 % (3239354)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1416894968:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.35/2.73 % TRYING [1]
% 7.35/2.73 % TRYING [2]
% 7.35/2.73 % TRYING [3]
% 7.35/2.73 % (3239350)Instruction limit reached!
% 7.35/2.73 % (3239350)------------------------------
% 7.35/2.73 % (3239350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239350)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239350)Termination reason: Instruction limit
% 7.35/2.73 % (3239350)Termination phase: Saturation
% 7.35/2.73 % (3239350)Time elapsed: 0.086 s
% 7.35/2.73 % (3239350)Peak memory usage: 11 MB
% 7.35/2.73 % (3239350)Instructions burned: 182 (million)
% 7.35/2.73 % TRYING [4]
% 7.35/2.73 % (3239356)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2656294538:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.35/2.73 % (3239351)Instruction limit reached!
% 7.35/2.73 % (3239351)------------------------------
% 7.35/2.73 % (3239351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239351)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239351)Termination reason: Instruction limit
% 7.35/2.73 % (3239351)Termination phase: Saturation
% 7.35/2.73 % (3239351)Time elapsed: 0.236 s
% 7.35/2.73 % (3239351)Peak memory usage: 15 MB
% 7.35/2.73 % (3239351)Instructions burned: 478 (million)
% 7.35/2.73 % (3239347)Instruction limit reached!
% 7.35/2.73 % (3239347)------------------------------
% 7.35/2.73 % (3239347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239347)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239347)Termination reason: Instruction limit
% 7.35/2.73 % (3239347)Termination phase: Saturation
% 7.35/2.73 % (3239347)Time elapsed: 0.338 s
% 7.35/2.73 % (3239347)Peak memory usage: 16 MB
% 7.35/2.73 % (3239347)Instructions burned: 686 (million)
% 7.35/2.73 % (3239358)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1383833520:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.35/2.73 % (3239359)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=3665551276:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.35/2.73 % TRYING [14]
% 7.35/2.73 % (3239354)Instruction limit reached!
% 7.35/2.73 % (3239354)------------------------------
% 7.35/2.73 % (3239354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239354)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239354)Termination reason: Instruction limit
% 7.35/2.73 % (3239354)Termination phase: Finite model building SAT solving
% 7.35/2.73 % (3239354)Time elapsed: 0.273 s
% 7.35/2.73 % (3239354)Peak memory usage: 12 MB
% 7.35/2.73 % (3239354)Instructions burned: 865 (million)
% 7.35/2.73 % (3239362)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=248863795:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.35/2.73 % (3239358)Instruction limit reached!
% 7.35/2.73 % (3239358)------------------------------
% 7.35/2.73 % (3239358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239358)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239358)Termination reason: Instruction limit
% 7.35/2.73 % (3239358)Termination phase: Finite model building constraint generation
% 7.35/2.73 % (3239358)Time elapsed: 0.218 s
% 7.35/2.73 % (3239358)Peak memory usage: 81 MB
% 7.35/2.73 % (3239358)Instructions burned: 893 (million)
% 7.35/2.73 % (3239364)fmb+10_1_sil=64000:random_seed=3942861717:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 7.35/2.73 % TRYING [1]
% 7.35/2.73 % TRYING [2]
% 7.35/2.73 % TRYING [3]
% 7.35/2.73 % TRYING [4]
% 7.35/2.73 % (3239359)Instruction limit reached!
% 7.35/2.73 % (3239359)------------------------------
% 7.35/2.73 % (3239359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239359)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239359)Termination reason: Instruction limit
% 7.35/2.73 % (3239359)Termination phase: Saturation
% 7.35/2.73 % (3239359)Time elapsed: 0.404 s
% 7.35/2.73 % (3239359)Peak memory usage: 18 MB
% 7.35/2.73 % (3239359)Instructions burned: 692 (million)
% 7.35/2.73 % (3239368)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=6958625:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.35/2.73 % TRYING [20]
% 7.35/2.73 % (3239356)Instruction limit reached!
% 7.35/2.73 % (3239356)------------------------------
% 7.35/2.73 % (3239356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239356)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239356)Termination reason: Instruction limit
% 7.35/2.73 % (3239356)Termination phase: Saturation
% 7.35/2.73 % (3239356)Time elapsed: 0.639 s
% 7.35/2.73 % (3239356)Peak memory usage: 25 MB
% 7.35/2.73 % (3239356)Instructions burned: 1180 (million)
% 7.35/2.73 % (3239370)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=793548813:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.35/2.73 % TRYING [8]
% 7.35/2.73 % (3239362)Instruction limit reached!
% 7.35/2.73 % (3239362)------------------------------
% 7.35/2.73 % (3239362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239362)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239362)Termination reason: Instruction limit
% 7.35/2.73 % (3239362)Termination phase: Saturation
% 7.35/2.73 % (3239362)Time elapsed: 0.454 s
% 7.35/2.73 % (3239362)Peak memory usage: 16 MB
% 7.35/2.73 % (3239362)Instructions burned: 879 (million)
% 7.35/2.73 % (3239393)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2169881746:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.35/2.73 % TRYING [5]
% 7.35/2.73 % TRYING [5]
% 7.35/2.73 % (3239370)Instruction limit reached!
% 7.35/2.73 % (3239370)------------------------------
% 7.35/2.73 % (3239370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239370)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239370)Termination reason: Instruction limit
% 7.35/2.73 % (3239370)Termination phase: Finite model building SAT solving
% 7.35/2.73 % (3239370)Time elapsed: 0.443 s
% 7.35/2.73 % (3239370)Peak memory usage: 38 MB
% 7.35/2.73 % (3239370)Instructions burned: 920 (million)
% 7.35/2.73 % (3239526)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1167534655:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 7.35/2.73 % (3239526)Instruction limit reached!
% 7.35/2.73 % (3239526)------------------------------
% 7.35/2.73 % (3239526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239526)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239526)Termination reason: Instruction limit
% 7.35/2.73 % (3239526)Termination phase: Saturation
% 7.35/2.73 % (3239526)Time elapsed: 0.713 s
% 7.35/2.73 % (3239526)Peak memory usage: 27 MB
% 7.35/2.73 % (3239526)Instructions burned: 1473 (million)
% 7.35/2.73 % (3239528)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4173791559:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 7.35/2.73 % TRYING [77]
% 7.35/2.73 % (3239332) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3239325-3239332"...
% 7.35/2.73 % (3239332)...printing done.
% 7.35/2.73 % (3239332)Refutation found. Thanks to Tanya!
% 7.35/2.73 % SZS status Unsatisfiable for theBenchmark
% 7.35/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 7.35/2.73 % (3239332)------------------------------
% 7.35/2.73 % (3239332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/2.73 % (3239332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.73 % (3239332)CaDiCaL version: 2.1.3
% 7.35/2.73 % (3239332)Termination reason: Refutation
% 7.35/2.73 % (3239332)Time elapsed: 2.207 s
% 7.35/2.73 % (3239332)Peak memory usage: 44 MB
% 7.35/2.73 % (3239332)Instructions burned: 4550 (million)
% 7.35/2.73 % (3239325)Success in time 2.291 s
% 7.35/2.73 % Vampire exiting
%------------------------------------------------------------------------------