%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP060-1 : 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 : 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 10:16:33 AM UTC 2026
% Result : Unsatisfiable 14.95s 2.95s
% Output : Refutation 14.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 67 unt; 3 def)
% Number of atoms : 99 ( 72 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 14 ( 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 : 222 ( 0 sgn 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
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(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X0,X3))),inverse(X4))),multiply(X4,multiply(X0,X1))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X0,X3))),inverse(X2))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X0,inverse(X5))),multiply(X5,multiply(X3,X1))))),
inference(superposition,[],[f18,f1]) ).
fof(f51,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))) = X0,
inference(superposition,[],[f22,f18]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X4,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))))) = X2,
inference(superposition,[],[f1,f22]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,multiply(X4,inverse(X2))) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X0))),inverse(X5)))))),inverse(X2))),
inference(superposition,[],[f51,f18]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X0,multiply(X1,multiply(X3,inverse(X2)))))),X0))) = X3,
inference(superposition,[],[f55,f1]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))) = multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X4,X0))),X4))),
inference(superposition,[],[f105,f51]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),inverse(multiply(X2,multiply(X3,multiply(X0,inverse(X4)))))) = multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X0,X1))))),
inference(superposition,[],[f1,f105]) ).
fof(f173,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1))) = X3,
inference(superposition,[],[f105,f131]) ).
fof(f1060,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X6,X3))),X6)) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X5),inverse(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))))),inverse(X0)))),inverse(X5))),
inference(superposition,[],[f51,f124]) ).
fof(f1071,plain,
! [X2,X3,X1,X6] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X6,X3))),X6)),
inference(forward_demodulation,[],[f1060,f51]) ).
fof(f1104,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,X2))),inverse(X1)))))),X4)),
inference(superposition,[],[f1071,f1]) ).
fof(f1444,plain,
! [X0,X6,X4,X5] : inverse(X0) = inverse(multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(X0)),inverse(X4)))))),X5)),
inference(superposition,[],[f1104,f1]) ).
fof(f1630,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1)),
inference(superposition,[],[f1444,f131]) ).
fof(f1798,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X0)),multiply(X3,inverse(multiply(multiply(X1,multiply(X4,X2)),multiply(X5,multiply(multiply(inverse(X5),inverse(X0)),X3)))))))) = X4,
inference(superposition,[],[f173,f1630]) ).
fof(f7611,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(X4,X7))),inverse(X0)))))),inverse(X5))) = multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X1))))),X2),multiply(X4,inverse(X5))),
inference(superposition,[],[f76,f1630]) ).
fof(f7864,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X4,inverse(X5))) = multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X1))))),X2),multiply(X4,inverse(X5))),
inference(forward_demodulation,[],[f7611,f76]) ).
fof(f8193,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X6,inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(X0)),X6))))),X7) = multiply(inverse(X3),inverse(multiply(multiply(multiply(X1,inverse(X2)),inverse(X4)),multiply(X5,inverse(multiply(multiply(X3,multiply(X0,multiply(X1,inverse(X2)))),multiply(X9,multiply(multiply(inverse(X9),inverse(X4)),X5)))))))),
inference(superposition,[],[f1798,f7864]) ).
fof(f8198,plain,
! [X0,X8,X6,X7] : multiply(multiply(X6,inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(X0)),X6))))),X7) = X0,
inference(forward_demodulation,[],[f8193,f1798]) ).
fof(f8406,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2) = multiply(multiply(inverse(X1),inverse(multiply(X4,X0))),X4),
inference(superposition,[],[f8198,f51]) ).
fof(f8872,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(multiply(X2,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),X1))))) = X3,
inference(superposition,[],[f1,f8406]) ).
fof(f9446,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X1),inverse(X0)),X0) = multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))))),X2),
inference(superposition,[],[f8406,f8872]) ).
fof(f9448,plain,
! [X2,X0,X1] : multiply(X1,multiply(inverse(X1),inverse(X2))) = multiply(X0,multiply(inverse(X0),inverse(X2))),
inference(superposition,[],[f76,f8872]) ).
fof(f9565,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),inverse(X0)),X0) = multiply(multiply(inverse(X1),inverse(X2)),X2),
inference(forward_demodulation,[],[f9446,f8872]) ).
fof(f9700,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4)))))),
inference(superposition,[],[f9448,f8872]) ).
fof(f9941,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f9700,f8872]) ).
fof(f10084,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))),
inference(superposition,[],[f9448,f9941]) ).
fof(f10282,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(X0,inverse(X0)),inverse(X1)),
inference(superposition,[],[f9565,f9941]) ).
fof(f10372,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X3),inverse(multiply(X3,multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),X1))))) = X2,
inference(superposition,[],[f1,f9565]) ).
fof(f11634,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(multiply(inverse(multiply(X1,inverse(X1))),inverse(X2)),X2),
inference(superposition,[],[f10282,f9941]) ).
fof(f19188,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),X2)),
inference(superposition,[],[f10372,f9941]) ).
fof(f19715,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),inverse(multiply(X2,multiply(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1,f19188]) ).
fof(f19729,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(multiply(X2,multiply(X0,inverse(X0))))),X2) = X1,
inference(superposition,[],[f8198,f19188]) ).
fof(f20364,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X3,inverse(X3))) = multiply(multiply(X1,inverse(multiply(X2,multiply(X0,inverse(X0))))),X2),
inference(superposition,[],[f8198,f19729]) ).
fof(f20552,plain,
! [X3,X1] : multiply(X1,multiply(X3,inverse(X3))) = X1,
inference(forward_demodulation,[],[f20364,f19729]) ).
fof(f20691,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f19715,f20552]) ).
fof(f20692,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f19729,f20552]) ).
fof(f20806,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))))) = X0,
inference(superposition,[],[f19729,f20552]) ).
fof(f20842,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[],[f20806,f20552]) ).
fof(f21013,plain,
! [X2,X0,X1] : multiply(multiply(inverse(inverse(X1)),inverse(multiply(X2,multiply(X0,inverse(X0))))),X2) = X1,
inference(superposition,[],[f8198,f20691]) ).
fof(f21094,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f21013,f19729]) ).
fof(f21174,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),X0)) = multiply(X0,multiply(X1,inverse(X1))),
inference(superposition,[],[f10084,f21094]) ).
fof(f21346,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X2),X0)) = X0,
inference(forward_demodulation,[],[f21174,f20552]) ).
fof(f21450,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(X1)),X1),X2) = X2,
inference(superposition,[],[f20692,f11634]) ).
fof(f21451,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f20692,f9941]) ).
fof(f21465,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(multiply(inverse(X0),inverse(X1)),X1),X0),
inference(superposition,[],[f20692,f10282]) ).
fof(f21751,plain,
! [X2,X0] : multiply(X2,inverse(X2)) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f21465,f20692]) ).
fof(f21754,plain,
! [X2,X0] : multiply(inverse(multiply(X0,inverse(X0))),X2) = X2,
inference(forward_demodulation,[],[f21450,f20692]) ).
fof(f21825,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f21451,f21094]) ).
fof(f26309,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f21751,f21094]) ).
fof(f26595,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X3,X2))),X3),
inference(superposition,[],[f8406,f21751]) ).
fof(f26993,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(multiply(X1,X2),inverse(multiply(X3,X2))),X3),
inference(forward_demodulation,[],[f26595,f21094]) ).
fof(f27304,plain,
! [X2,X3,X1] : multiply(multiply(multiply(X1,X2),inverse(multiply(X3,X2))),X3) = X1,
inference(forward_demodulation,[],[f26993,f21451]) ).
fof(f27547,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(X0,X1)),X0))),inverse(multiply(X3,inverse(X3))))) = X1,
inference(superposition,[],[f51,f21754]) ).
fof(f28238,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(multiply(X0,X1)),X0)))) = X1,
inference(forward_demodulation,[],[f27547,f20842]) ).
fof(f28436,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(forward_demodulation,[],[f28238,f21346]) ).
fof(f44759,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X2),X0),inverse(multiply(X2,X0))) = X1,
inference(superposition,[],[f27304,f28436]) ).
fof(f46120,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f20692,f44759]) ).
fof(f47263,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f46120]) ).
fof(f47572,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f47263]) ).
fof(f47573,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f47572]) ).
fof(f50169,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f21825]) ).
fof(f50170,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f50169]) ).
fof(f50171,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f26309]) ).
fof(f50172,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f50171]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s25179,plain,
spl0_1,
inference(sat_conversion,[],[f47573]) ).
cnf(s25514,plain,
spl0_2,
inference(sat_conversion,[],[f50170]) ).
cnf(s25515,plain,
spl0_3,
inference(sat_conversion,[],[f50172]) ).
cnf(s25516,plain,
$false,
inference(rat,[],[s4,s25515,s25514,s25179]) ).
fof(f50173,plain,
$false,
inference(avatar_sat_refutation,[],[s25516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP060-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:17:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 16.90/2.89 % (3240883)Will run a generic schedule for satisfiability detection.
% 16.90/2.89 % (3240893)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1361296540:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.90/2.89 % (3240889)% WARNING: option uhcvi not known.
% 16.90/2.89 % (3240889)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2953474785:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.90/2.89 % (3240890)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3954080891:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.90/2.89 % (3240891)dis+10_1_sil=32000:sp=arity:random_seed=566886069:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.90/2.89 % (3240892)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=167794578:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.90/2.89 % (3240894)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2352652056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.90/2.89 % (3240888)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2807038111_2999 on theBenchmark for (2999ds/0Mi)
% 16.90/2.89 % TRYING [1]
% 16.90/2.89 % TRYING [2]
% 16.90/2.89 % TRYING [3]
% 16.90/2.89 % (3240893)Instruction limit reached!
% 16.90/2.89 % (3240893)------------------------------
% 16.90/2.89 % (3240893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.90/2.89 % (3240893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/2.89 % (3240893)CaDiCaL version: 2.1.3
% 16.90/2.89 % (3240893)Termination reason: Instruction limit
% 16.90/2.89 % (3240893)Termination phase: Saturation
% 16.90/2.89 % (3240893)Time elapsed: 0.043 s
% 16.90/2.89 % (3240893)Peak memory usage: 13 MB
% 16.90/2.89 % (3240893)Instructions burned: 133 (million)
% 16.90/2.89 % (3240912)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3385721769:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.90/2.89 % TRYING [1]
% 16.90/2.89 % (3240891)Instruction limit reached!
% 16.90/2.89 % (3240891)------------------------------
% 16.90/2.89 % (3240891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.90/2.89 % (3240891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/2.89 % (3240891)CaDiCaL version: 2.1.3
% 16.90/2.89 % (3240891)Termination reason: Instruction limit
% 16.90/2.89 % (3240891)Termination phase: Saturation
% 16.90/2.89 % (3240891)Time elapsed: 0.057 s
% 16.90/2.89 % (3240891)Peak memory usage: 12 MB
% 16.90/2.89 % (3240891)Instructions burned: 103 (million)
% 16.90/2.89 % TRYING [2]
% 16.90/2.89 % TRYING [4]
% 16.90/2.89 % TRYING [3]
% 16.90/2.89 % (3240892)Instruction limit reached!
% 16.90/2.89 % (3240892)------------------------------
% 16.90/2.89 % (3240892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.90/2.89 % (3240892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/2.89 % (3240892)CaDiCaL version: 2.1.3
% 16.90/2.89 % (3240892)Termination reason: Instruction limit
% 16.90/2.89 % (3240892)Termination phase: Saturation
% 16.90/2.89 % (3240892)Time elapsed: 0.070 s
% 16.90/2.89 % (3240892)Peak memory usage: 13 MB
% 16.90/2.89 % (3240892)Instructions burned: 117 (million)
% 16.90/2.89 % (3240920)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3506343758:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.90/2.89 % (3240924)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=2261226206:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.90/2.89 % TRYING [4]
% 16.90/2.89 % (3240894)Instruction limit reached!
% 16.90/2.89 % (3240894)------------------------------
% 16.90/2.89 % (3240894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.90/2.89 % (3240894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/2.89 % (3240894)CaDiCaL version: 2.1.3
% 16.90/2.89 % (3240894)Termination reason: Instruction limit
% 16.90/2.89 % (3240894)Termination phase: Saturation
% 16.90/2.89 % (3240894)Time elapsed: 0.100 s
% 16.90/2.89 % (3240894)Peak memory usage: 13 MB
% 16.90/2.89 % (3240894)Instructions burned: 160 (million)
% 16.90/2.89 % (3240939)ott-21_1_sil=16000:fs=off:random_seed=3599401027:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.90/2.89 % (3240920)Instruction limit reached!
% 16.90/2.89 % (3240920)------------------------------
% 16.90/2.89 % (3240920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.90/2.89 % (3240920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240920)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240920)Termination reason: Instruction limit
% 14.95/2.95 % (3240920)Termination phase: Saturation
% 14.95/2.95 % (3240920)Time elapsed: 0.077 s
% 14.95/2.95 % (3240920)Peak memory usage: 13 MB
% 14.95/2.95 % (3240920)Instructions burned: 133 (million)
% 14.95/2.95 % (3240969)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4054136878:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 14.95/2.95 % (3240939)Instruction limit reached!
% 14.95/2.95 % (3240939)------------------------------
% 14.95/2.95 % (3240939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3240939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240939)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240939)Termination reason: Instruction limit
% 14.95/2.95 % (3240939)Termination phase: Saturation
% 14.95/2.95 % (3240939)Time elapsed: 0.094 s
% 14.95/2.95 % (3240939)Peak memory usage: 12 MB
% 14.95/2.95 % (3240939)Instructions burned: 180 (million)
% 14.95/2.95 % (3240987)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3434421035:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.95/2.95 % TRYING [1]
% 14.95/2.95 % TRYING [2]
% 14.95/2.95 % TRYING [3]
% 14.95/2.95 % TRYING [4]
% 14.95/2.95 % (3240912)Instruction limit reached!
% 14.95/2.95 % (3240912)------------------------------
% 14.95/2.95 % (3240912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3240912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240912)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240912)Termination reason: Instruction limit
% 14.95/2.95 % (3240912)Termination phase: Finite model building SAT solving
% 14.95/2.95 % (3240912)Time elapsed: 0.256 s
% 14.95/2.95 % (3240912)Peak memory usage: 13 MB
% 14.95/2.95 % (3240912)Instructions burned: 715 (million)
% 14.95/2.95 % (3241005)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=825569752:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 14.95/2.95 % (3240969)Instruction limit reached!
% 14.95/2.95 % (3240969)------------------------------
% 14.95/2.95 % (3240969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3240969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240969)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240969)Termination reason: Instruction limit
% 14.95/2.95 % (3240969)Termination phase: Saturation
% 14.95/2.95 % (3240969)Time elapsed: 0.260 s
% 14.95/2.95 % (3240969)Peak memory usage: 16 MB
% 14.95/2.95 % (3240969)Instructions burned: 478 (million)
% 14.95/2.95 % (3240924)Instruction limit reached!
% 14.95/2.95 % (3240924)------------------------------
% 14.95/2.95 % (3240924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3240924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240924)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240924)Termination reason: Instruction limit
% 14.95/2.95 % (3240924)Termination phase: Saturation
% 14.95/2.95 % (3240924)Time elapsed: 0.354 s
% 14.95/2.95 % (3240924)Peak memory usage: 19 MB
% 14.95/2.95 % (3240924)Instructions burned: 684 (million)
% 14.95/2.95 % (3241017)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3030416541:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.95/2.95 % (3241018)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=2737812805: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)
% 14.95/2.95 % TRYING [14]
% 14.95/2.95 % (3241005)Instruction limit reached!
% 14.95/2.95 % (3241005)------------------------------
% 14.95/2.95 % (3241005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3241005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3241005)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3241005)Termination reason: Instruction limit
% 14.95/2.95 % (3241005)Termination phase: Saturation
% 14.95/2.95 % (3241005)Time elapsed: 0.318 s
% 14.95/2.95 % (3241005)Peak memory usage: 30 MB
% 14.95/2.95 % (3241005)Instructions burned: 1183 (million)
% 14.95/2.95 % (3241034)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1929186051:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 14.95/2.95 % (3240987)Instruction limit reached!
% 14.95/2.95 % (3240987)------------------------------
% 14.95/2.95 % (3240987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3240987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240987)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240987)Termination reason: Instruction limit
% 14.95/2.95 % (3240987)Termination phase: Finite model building SAT solving
% 14.95/2.95 % (3240987)Time elapsed: 0.546 s
% 14.95/2.95 % (3240987)Peak memory usage: 12 MB
% 14.95/2.95 % (3240987)Instructions burned: 866 (million)
% 14.95/2.95 % (3241036)fmb+10_1_sil=64000:random_seed=1057629048:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 14.95/2.95 % TRYING [1]
% 14.95/2.95 % TRYING [2]
% 14.95/2.95 % TRYING [3]
% 14.95/2.95 % TRYING [4]
% 14.95/2.95 % (3241017)Instruction limit reached!
% 14.95/2.95 % (3241017)------------------------------
% 14.95/2.95 % (3241017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3241017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3241017)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3241017)Termination reason: Instruction limit
% 14.95/2.95 % (3241017)Termination phase: Finite model building constraint generation
% 14.95/2.95 % (3241017)Time elapsed: 0.430 s
% 14.95/2.95 % (3241017)Peak memory usage: 78 MB
% 14.95/2.95 % (3241017)Instructions burned: 892 (million)
% 14.95/2.95 % (3241018)Instruction limit reached!
% 14.95/2.95 % (3241018)------------------------------
% 14.95/2.95 % (3241018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3241018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3241018)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3241018)Termination reason: Instruction limit
% 14.95/2.95 % (3241018)Termination phase: Saturation
% 14.95/2.95 % (3241018)Time elapsed: 0.422 s
% 14.95/2.95 % (3241018)Peak memory usage: 19 MB
% 14.95/2.95 % (3241018)Instructions burned: 693 (million)
% 14.95/2.95 % (3241034)Instruction limit reached!
% 14.95/2.95 % (3241034)------------------------------
% 14.95/2.95 % (3241034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3241034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3241034)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3241034)Termination reason: Instruction limit
% 14.95/2.95 % (3241034)Termination phase: Saturation
% 14.95/2.95 % (3241034)Time elapsed: 0.237 s
% 14.95/2.95 % (3241034)Peak memory usage: 19 MB
% 14.95/2.95 % (3241034)Instructions burned: 883 (million)
% 14.95/2.95 % (3241039)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=365150197:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 14.95/2.95 % TRYING [8]
% 14.95/2.95 % (3241038)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3664095872:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 14.95/2.95 % TRYING [20]
% 14.95/2.95 % (3241040)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3460880737:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 14.95/2.95 % (3241039)Instruction limit reached!
% 14.95/2.95 % (3241039)------------------------------
% 14.95/2.95 % (3241039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3241039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3241039)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3241039)Termination reason: Instruction limit
% 14.95/2.95 % (3241039)Termination phase: Finite model building SAT solving
% 14.95/2.95 % (3241039)Time elapsed: 0.242 s
% 14.95/2.95 % (3241039)Peak memory usage: 45 MB
% 14.95/2.95 % (3241039)Instructions burned: 921 (million)
% 14.95/2.95 % (3241044)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3814030405:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 14.95/2.95 % (3241044)Instruction limit reached!
% 14.95/2.95 % (3241044)------------------------------
% 14.95/2.95 % (3241044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3241044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3241044)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3241044)Termination reason: Instruction limit
% 14.95/2.95 % (3241044)Termination phase: Saturation
% 14.95/2.95 % (3241044)Time elapsed: 1.132 s
% 14.95/2.95 % (3241044)Peak memory usage: 29 MB
% 14.95/2.95 % (3241044)Instructions burned: 1473 (million)
% 14.95/2.95 % (3241076)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3829281472:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 14.95/2.95 % TRYING [77]
% 14.95/2.95 % (3240890) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3240883-3240890"...
% 14.95/2.95 % (3240890)...printing done.
% 14.95/2.95 % (3240890)Refutation found. Thanks to Tanya!
% 14.95/2.95 % SZS status Unsatisfiable for theBenchmark
% 14.95/2.95 % SZS output start Proof for theBenchmark
% See solution above
% 14.95/2.95 % (3240890)------------------------------
% 14.95/2.95 % (3240890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.95 % (3240890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.95 % (3240890)CaDiCaL version: 2.1.3
% 14.95/2.95 % (3240890)Termination reason: Refutation
% 14.95/2.95 % (3240890)Time elapsed: 2.442 s
% 14.95/2.95 % (3240890)Peak memory usage: 50 MB
% 14.95/2.95 % (3240890)Instructions burned: 3768 (million)
% 14.95/2.95 % (3240883)Success in time 2.532 s
% 14.95/2.95 % Vampire exiting
%------------------------------------------------------------------------------