%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP061-1 : 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 : n001.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 15.97s 3.09s
% Output : Refutation 15.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 80 ( 66 unt; 3 def)
% Number of atoms : 98 ( 71 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 15 ( 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 : 212 ( 0 sgn 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
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,X6,X4,X5] : inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X0,multiply(X2,X4)))))),multiply(multiply(X0,X5),inverse(multiply(X6,multiply(X1,X5))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X3),inverse(multiply(X0,multiply(X4,X3))))),X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X0,multiply(X5,X4))))),X0)),X5)))) = X3,
inference(superposition,[],[f18,f1]) ).
fof(f57,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X3,multiply(X6,X8)))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(X3,X4),inverse(multiply(X0,multiply(X5,X4))))),X0)),X5)))),
inference(superposition,[],[f18,f17]) ).
fof(f809,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))) = X0,
inference(superposition,[],[f57,f23]) ).
fof(f815,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5))))) = X2,
inference(superposition,[],[f1,f57]) ).
fof(f950,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,multiply(X0,inverse(multiply(inverse(X5),multiply(X1,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X0),multiply(inverse(X2),X4))))))))))) = X5,
inference(superposition,[],[f809,f809]) ).
fof(f970,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(inverse(X3)),X4),inverse(multiply(X5,multiply(X0,X4))))),X5)),X0))) = X3,
inference(superposition,[],[f809,f18]) ).
fof(f1522,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(X0,inverse(multiply(inverse(X2),X0))))) = X2,
inference(superposition,[],[f950,f809]) ).
fof(f1637,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(inverse(X0),X3)))),inverse(X0)))) = X2,
inference(superposition,[],[f1522,f1522]) ).
fof(f1656,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X0),X3)))),inverse(X0)))) = X1,
inference(superposition,[],[f809,f1522]) ).
fof(f1800,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X0,X3)))),X0))) = X2,
inference(superposition,[],[f1637,f1]) ).
fof(f2192,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(X5,multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X3)))),inverse(X4)))))))))) = X5,
inference(superposition,[],[f1,f1656]) ).
fof(f2209,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X5),multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X3)))),inverse(X4))))))))) = X5,
inference(superposition,[],[f809,f1656]) ).
fof(f2253,plain,
! [X0,X1,X5] : multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X5),X1))))) = X5,
inference(forward_demodulation,[],[f2209,f1656]) ).
fof(f2270,plain,
! [X0,X1,X5] : inverse(multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(X5,X1)))))) = X5,
inference(forward_demodulation,[],[f2192,f1656]) ).
fof(f2335,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2)))),multiply(X3,multiply(inverse(X3),inverse(X0)))) = X1,
inference(superposition,[],[f2253,f1522]) ).
fof(f2337,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(X3,X2)))),X3)),multiply(X4,multiply(inverse(X4),inverse(X0)))) = X1,
inference(superposition,[],[f2253,f1800]) ).
fof(f2486,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(X0,X2)))),multiply(X3,multiply(inverse(X3),X0)))) = X2,
inference(superposition,[],[f2270,f2270]) ).
fof(f3155,plain,
! [X2,X0,X1,X6] : multiply(multiply(X1,multiply(X2,inverse(multiply(X0,X2)))),multiply(X6,multiply(inverse(X6),X0))) = X1,
inference(superposition,[],[f2335,f1]) ).
fof(f3303,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),X3))),X2)))),X0) = X1,
inference(superposition,[],[f3155,f2253]) ).
fof(f5295,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = inverse(inverse(multiply(X1,multiply(X0,inverse(X0))))),
inference(superposition,[],[f815,f2337]) ).
fof(f5419,plain,
! [X3,X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = inverse(inverse(multiply(X0,multiply(X3,inverse(X3))))),
inference(superposition,[],[f5295,f5295]) ).
fof(f5443,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))),
inference(superposition,[],[f5295,f5295]) ).
fof(f5808,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X0,multiply(X4,inverse(X4))) = multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),multiply(multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7))),
inference(superposition,[],[f970,f5419]) ).
fof(f5914,plain,
! [X0,X1,X4] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X4,inverse(X4))),
inference(forward_demodulation,[],[f5808,f970]) ).
fof(f6228,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X0,multiply(X1,inverse(X1)))))),multiply(X4,multiply(inverse(X4),X0)))),
inference(superposition,[],[f2486,f5914]) ).
fof(f6306,plain,
! [X3,X1] : multiply(X1,inverse(X1)) = multiply(X3,inverse(X3)),
inference(forward_demodulation,[],[f6228,f2486]) ).
fof(f6443,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f2253,f6306]) ).
fof(f8456,plain,
! [X0,X1,X7] : multiply(X7,multiply(inverse(X7),X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(superposition,[],[f5443,f815]) ).
fof(f8761,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(X3,multiply(inverse(X3),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2)))))),
inference(superposition,[],[f8456,f1522]) ).
fof(f8971,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[],[f2270,f8456]) ).
fof(f11867,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f8761,f6443]) ).
fof(f12146,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1522,f11867]) ).
fof(f12156,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),X1)) = multiply(X1,multiply(inverse(X0),X0)),
inference(superposition,[],[f8456,f11867]) ).
fof(f13120,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,multiply(multiply(inverse(X4),X4),inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X1)))))))),X2) = X3,
inference(superposition,[],[f3303,f12156]) ).
fof(f13150,plain,
! [X2,X3,X4] : multiply(multiply(X3,multiply(multiply(inverse(X4),X4),inverse(X2))),X2) = X3,
inference(forward_demodulation,[],[f13120,f8971]) ).
fof(f13769,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,inverse(X0))),multiply(inverse(X2),X2)) = X1,
inference(superposition,[],[f13150,f6306]) ).
fof(f14032,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),multiply(X1,multiply(X2,inverse(X2))))) = X1,
inference(superposition,[],[f13769,f8456]) ).
fof(f14794,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f14032,f12146]) ).
fof(f15028,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f14794,f8456]) ).
fof(f15033,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f14794,f13769]) ).
fof(f15207,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(multiply(inverse(X3),X3),inverse(inverse(X0)))),inverse(X0)))) = X2,
inference(superposition,[],[f1637,f14794]) ).
fof(f15269,plain,
! [X2,X1] : multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(forward_demodulation,[],[f15207,f13150]) ).
fof(f15572,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),inverse(inverse(X0)))) = X0,
inference(superposition,[],[f14032,f15028]) ).
fof(f15703,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f15572,f15028]) ).
fof(f16240,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X1)),inverse(inverse(X0))))) = X0,
inference(superposition,[],[f809,f15033]) ).
fof(f16278,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1)),multiply(X2,multiply(inverse(X2),inverse(inverse(X0))))) = X0,
inference(superposition,[],[f2253,f15033]) ).
fof(f16368,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f16278,f15028]) ).
fof(f16402,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X1)),X0))) = X0,
inference(forward_demodulation,[],[f16240,f15703]) ).
fof(f16511,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f16368,f15703]) ).
fof(f16834,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(X2),multiply(X2,multiply(inverse(multiply(X0,X1)),X0))),
inference(superposition,[],[f1800,f15269]) ).
fof(f16993,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(forward_demodulation,[],[f16834,f15269]) ).
fof(f17183,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f16511,f15703]) ).
fof(f23849,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f16993,f15269]) ).
fof(f54291,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(inverse(multiply(X1,X2)),X0))) = X0,
inference(forward_demodulation,[],[f16402,f23849]) ).
fof(f54430,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f54291,f15269]) ).
fof(f55455,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f54430]) ).
fof(f55817,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f55455]) ).
fof(f55818,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f55817]) ).
fof(f60340,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f17183]) ).
fof(f60341,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f60340]) ).
fof(f60342,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f11867]) ).
fof(f60343,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f60342]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s26954,plain,
spl0_1,
inference(sat_conversion,[],[f55818]) ).
cnf(s27319,plain,
spl0_2,
inference(sat_conversion,[],[f60341]) ).
cnf(s27320,plain,
spl0_3,
inference(sat_conversion,[],[f60343]) ).
cnf(s27321,plain,
$false,
inference(rat,[],[s4,s27320,s27319,s26954]) ).
fof(f60344,plain,
$false,
inference(avatar_sat_refutation,[],[s27321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP061-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n001.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 09:23:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 17.33/3.03 % (3285526)Will run a generic schedule for satisfiability detection.
% 17.33/3.03 % (3285531)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3419290965_2999 on theBenchmark for (2999ds/0Mi)
% 17.33/3.03 % TRYING [1]
% 17.33/3.03 % TRYING [2]
% 17.33/3.03 % TRYING [3]
% 17.33/3.03 % (3285532)% WARNING: option uhcvi not known.
% 17.33/3.03 % (3285533)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=655688779:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.33/3.03 % (3285534)dis+10_1_sil=32000:sp=arity:random_seed=1041166439:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.33/3.03 % (3285537)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=502607088:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.33/3.03 % (3285535)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4002662956:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.33/3.03 % (3285536)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3324357769:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.33/3.03 % (3285532)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3194176924:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.33/3.03 % TRYING [4]
% 17.33/3.03 % (3285534)Instruction limit reached!
% 17.33/3.03 % (3285534)------------------------------
% 17.33/3.03 % (3285534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.03 % (3285534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.03 % (3285534)CaDiCaL version: 2.1.3
% 17.33/3.03 % (3285534)Termination reason: Instruction limit
% 17.33/3.03 % (3285534)Termination phase: Saturation
% 17.33/3.03 % (3285534)Time elapsed: 0.054 s
% 17.33/3.03 % (3285534)Peak memory usage: 12 MB
% 17.33/3.03 % (3285534)Instructions burned: 104 (million)
% 17.33/3.03 % (3285535)Instruction limit reached!
% 17.33/3.03 % (3285535)------------------------------
% 17.33/3.03 % (3285535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.03 % (3285535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.03 % (3285535)CaDiCaL version: 2.1.3
% 17.33/3.03 % (3285535)Termination reason: Instruction limit
% 17.33/3.03 % (3285535)Termination phase: Saturation
% 17.33/3.03 % (3285535)Time elapsed: 0.064 s
% 17.33/3.03 % (3285535)Peak memory usage: 13 MB
% 17.33/3.03 % (3285535)Instructions burned: 118 (million)
% 17.33/3.03 % (3285536)Instruction limit reached!
% 17.33/3.03 % (3285536)------------------------------
% 17.33/3.03 % (3285536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.03 % (3285536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.03 % (3285536)CaDiCaL version: 2.1.3
% 17.33/3.03 % (3285536)Termination reason: Instruction limit
% 17.33/3.03 % (3285536)Termination phase: Saturation
% 17.33/3.03 % (3285536)Time elapsed: 0.072 s
% 17.33/3.03 % (3285536)Peak memory usage: 12 MB
% 17.33/3.03 % (3285536)Instructions burned: 132 (million)
% 17.33/3.03 % (3285545)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=464497935:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.33/3.03 % TRYING [1]
% 17.33/3.03 % TRYING [2]
% 17.33/3.03 % TRYING [3]
% 17.33/3.03 % (3285546)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2774134558:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 17.33/3.03 % (3285537)Instruction limit reached!
% 17.33/3.03 % (3285537)------------------------------
% 17.33/3.03 % (3285537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.03 % (3285537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.03 % (3285537)CaDiCaL version: 2.1.3
% 17.33/3.03 % (3285537)Termination reason: Instruction limit
% 17.33/3.03 % (3285537)Termination phase: Saturation
% 17.33/3.03 % (3285537)Time elapsed: 0.091 s
% 17.33/3.03 % (3285537)Peak memory usage: 12 MB
% 17.33/3.03 % (3285537)Instructions burned: 162 (million)
% 17.33/3.03 % (3285547)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=799082792:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.33/3.03 % (3285551)ott-21_1_sil=16000:fs=off:random_seed=4172395936:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.33/3.03 % TRYING [4]
% 17.33/3.03 % (3285546)Instruction limit reached!
% 17.33/3.03 % (3285546)------------------------------
% 17.33/3.03 % (3285546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.03 % (3285546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285546)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285546)Termination reason: Instruction limit
% 15.97/3.09 % (3285546)Termination phase: Saturation
% 15.97/3.09 % (3285546)Time elapsed: 0.072 s
% 15.97/3.09 % (3285546)Peak memory usage: 13 MB
% 15.97/3.09 % (3285546)Instructions burned: 133 (million)
% 15.97/3.09 % (3285553)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1322103318:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.97/3.09 % (3285551)Instruction limit reached!
% 15.97/3.09 % (3285551)------------------------------
% 15.97/3.09 % (3285551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285551)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285551)Termination reason: Instruction limit
% 15.97/3.09 % (3285551)Termination phase: Saturation
% 15.97/3.09 % (3285551)Time elapsed: 0.086 s
% 15.97/3.09 % (3285551)Peak memory usage: 12 MB
% 15.97/3.09 % (3285551)Instructions burned: 180 (million)
% 15.97/3.09 % (3285555)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4266644138:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.97/3.09 % TRYING [1]
% 15.97/3.09 % TRYING [2]
% 15.97/3.09 % TRYING [3]
% 15.97/3.09 % TRYING [4]
% 15.97/3.09 % (3285553)Instruction limit reached!
% 15.97/3.09 % (3285553)------------------------------
% 15.97/3.09 % (3285553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285553)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285553)Termination reason: Instruction limit
% 15.97/3.09 % (3285553)Termination phase: Saturation
% 15.97/3.09 % (3285553)Time elapsed: 0.234 s
% 15.97/3.09 % (3285553)Peak memory usage: 16 MB
% 15.97/3.09 % (3285553)Instructions burned: 477 (million)
% 15.97/3.09 % (3285557)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1487804100:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 15.97/3.09 % (3285547)Instruction limit reached!
% 15.97/3.09 % (3285547)------------------------------
% 15.97/3.09 % (3285547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285547)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285547)Termination reason: Instruction limit
% 15.97/3.09 % (3285547)Termination phase: Saturation
% 15.97/3.09 % (3285547)Time elapsed: 0.343 s
% 15.97/3.09 % (3285547)Peak memory usage: 20 MB
% 15.97/3.09 % (3285547)Instructions burned: 685 (million)
% 15.97/3.09 % (3285559)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3322866947:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 15.97/3.09 % (3285545)Instruction limit reached!
% 15.97/3.09 % (3285545)------------------------------
% 15.97/3.09 % (3285545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285545)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285545)Termination reason: Instruction limit
% 15.97/3.09 % (3285545)Termination phase: Finite model building SAT solving
% 15.97/3.09 % (3285545)Time elapsed: 0.409 s
% 15.97/3.09 % (3285545)Peak memory usage: 14 MB
% 15.97/3.09 % (3285545)Instructions burned: 715 (million)
% 15.97/3.09 % (3285561)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=1173304747: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)
% 15.97/3.09 % TRYING [14]
% 15.97/3.09 % (3285555)Instruction limit reached!
% 15.97/3.09 % (3285555)------------------------------
% 15.97/3.09 % (3285555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285555)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285555)Termination reason: Instruction limit
% 15.97/3.09 % (3285555)Termination phase: Finite model building SAT solving
% 15.97/3.09 % (3285555)Time elapsed: 0.544 s
% 15.97/3.09 % (3285555)Peak memory usage: 13 MB
% 15.97/3.09 % (3285555)Instructions burned: 866 (million)
% 15.97/3.09 % (3285559)Instruction limit reached!
% 15.97/3.09 % (3285559)------------------------------
% 15.97/3.09 % (3285559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285559)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285559)Termination reason: Instruction limit
% 15.97/3.09 % (3285559)Termination phase: Finite model building constraint generation
% 15.97/3.09 % (3285559)Time elapsed: 0.324 s
% 15.97/3.09 % (3285559)Peak memory usage: 79 MB
% 15.97/3.09 % (3285559)Instructions burned: 890 (million)
% 15.97/3.09 % (3285563)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1469395622:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 15.97/3.09 % (3285565)fmb+10_1_sil=64000:random_seed=293164118:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 15.97/3.09 % TRYING [1]
% 15.97/3.09 % TRYING [2]
% 15.97/3.09 % TRYING [3]
% 15.97/3.09 % TRYING [4]
% 15.97/3.09 % (3285561)Instruction limit reached!
% 15.97/3.09 % (3285561)------------------------------
% 15.97/3.09 % (3285561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285561)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285561)Termination reason: Instruction limit
% 15.97/3.09 % (3285561)Termination phase: Saturation
% 15.97/3.09 % (3285561)Time elapsed: 0.369 s
% 15.97/3.09 % (3285561)Peak memory usage: 16 MB
% 15.97/3.09 % (3285561)Instructions burned: 693 (million)
% 15.97/3.09 % (3285567)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3201104024:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 15.97/3.09 % TRYING [20]
% 15.97/3.09 % TRYING [5]
% 15.97/3.09 % (3285557)Instruction limit reached!
% 15.97/3.09 % (3285557)------------------------------
% 15.97/3.09 % (3285557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285557)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285557)Termination reason: Instruction limit
% 15.97/3.09 % (3285557)Termination phase: Saturation
% 15.97/3.09 % (3285557)Time elapsed: 0.577 s
% 15.97/3.09 % (3285557)Peak memory usage: 31 MB
% 15.97/3.09 % (3285557)Instructions burned: 1181 (million)
% 15.97/3.09 % (3285569)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4030683469:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 15.97/3.09 % TRYING [8]
% 15.97/3.09 % (3285563)Instruction limit reached!
% 15.97/3.09 % (3285563)------------------------------
% 15.97/3.09 % (3285563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285563)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285563)Termination reason: Instruction limit
% 15.97/3.09 % (3285563)Termination phase: Saturation
% 15.97/3.09 % (3285563)Time elapsed: 0.436 s
% 15.97/3.09 % (3285563)Peak memory usage: 18 MB
% 15.97/3.09 % (3285563)Instructions burned: 880 (million)
% 15.97/3.09 % (3285571)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=997453405:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 15.97/3.09 % (3285569)Instruction limit reached!
% 15.97/3.09 % (3285569)------------------------------
% 15.97/3.09 % (3285569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285569)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285569)Termination reason: Instruction limit
% 15.97/3.09 % (3285569)Termination phase: Finite model building constraint generation
% 15.97/3.09 % (3285569)Time elapsed: 0.341 s
% 15.97/3.09 % (3285569)Peak memory usage: 63 MB
% 15.97/3.09 % (3285569)Instructions burned: 922 (million)
% 15.97/3.09 % (3285573)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1490235118:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 15.97/3.09 % (3285573)Instruction limit reached!
% 15.97/3.09 % (3285573)------------------------------
% 15.97/3.09 % (3285573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285573)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285573)Termination reason: Instruction limit
% 15.97/3.09 % (3285573)Termination phase: Saturation
% 15.97/3.09 % (3285573)Time elapsed: 0.743 s
% 15.97/3.09 % (3285573)Peak memory usage: 27 MB
% 15.97/3.09 % (3285573)Instructions burned: 1472 (million)
% 15.97/3.09 % (3285575)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2525134118:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 15.97/3.09 % TRYING [77]
% 15.97/3.09 % (3285533) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3285526-3285533"...
% 15.97/3.09 % (3285533)...printing done.
% 15.97/3.09 % (3285533)Refutation found. Thanks to Tanya!
% 15.97/3.09 % SZS status Unsatisfiable for theBenchmark
% 15.97/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 15.97/3.09 % (3285533)------------------------------
% 15.97/3.09 % (3285533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/3.09 % (3285533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.09 % (3285533)CaDiCaL version: 2.1.3
% 15.97/3.09 % (3285533)Termination reason: Refutation
% 15.97/3.09 % (3285533)Time elapsed: 2.589 s
% 15.97/3.09 % (3285533)Peak memory usage: 63 MB
% 15.97/3.09 % (3285533)Instructions burned: 5325 (million)
% 15.97/3.09 % (3285526)Success in time 2.681 s
% 15.97/3.09 % Vampire exiting
%------------------------------------------------------------------------------