%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP014-1 : 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 : n008.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 10:16:22 AM UTC 2026
% Result : Unsatisfiable 10.70s 2.42s
% Output : Refutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of formulae : 72 ( 72 unt; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 225 ( 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',group_axiom) ).
fof(f2,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X1)),X0))),X4),inverse(multiply(X3,X4)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X5),inverse(multiply(X2,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(X2),X0)))),X3),inverse(multiply(X1,X3)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f29,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f68,plain,
! [X0,X1,X6,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),multiply(X0,X5)))),X6),inverse(multiply(X1,X6)))) = X5,
inference(superposition,[],[f27,f27]) ).
fof(f84,plain,
! [X3,X0,X1] : multiply(inverse(inverse(X3)),multiply(inverse(X3),X0)) = multiply(inverse(X1),multiply(X1,X0)),
inference(superposition,[],[f29,f27]) ).
fof(f99,plain,
! [X0,X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = multiply(inverse(X0),multiply(X0,X4)),
inference(superposition,[],[f84,f27]) ).
fof(f120,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X3),inverse(multiply(inverse(X2),X3))))) = X1,
inference(superposition,[],[f1,f84]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,X1) = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X4),inverse(multiply(X3,X4)))))),
inference(superposition,[],[f29,f99]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X2),X4)),X1)))))) = X4,
inference(superposition,[],[f1,f99]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,multiply(multiply(inverse(X3),X4),X1))))))) = X4,
inference(superposition,[],[f29,f99]) ).
fof(f364,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[],[f68,f84]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X3),multiply(X3,X4))),X1))))) = X4,
inference(superposition,[],[f68,f99]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(inverse(X2),multiply(multiply(inverse(X3),multiply(X3,X4)),X1)))))) = X4,
inference(superposition,[],[f120,f99]) ).
fof(f2601,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(X4),multiply(X4,X5)),inverse(multiply(X6,multiply(multiply(inverse(X6),X0),X5))))))),inverse(X0)))) = X2,
inference(superposition,[],[f439,f198]) ).
fof(f2663,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f2601,f198]) ).
fof(f2696,plain,
! [X2,X3,X0,X1] : multiply(X2,X1) = multiply(multiply(inverse(inverse(X2)),multiply(inverse(X0),multiply(X0,X1))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f2663,f99]) ).
fof(f2741,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X0))),X0),
inference(superposition,[],[f192,f2663]) ).
fof(f3042,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(inverse(multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(X5,multiply(multiply(inverse(X5),X6),X4))))))))),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)) = X6,
inference(superposition,[],[f198,f2741]) ).
fof(f3052,plain,
! [X0,X1,X6] : multiply(inverse(inverse(X6)),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)) = X6,
inference(forward_demodulation,[],[f3042,f198]) ).
fof(f3502,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X3),multiply(X3,X0))),X0)),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f2696,f2663]) ).
fof(f3631,plain,
! [X2,X1,X4] : multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f3502,f3052]) ).
fof(f3799,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X5,inverse(X5))) = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))),X4))))))),
inference(superposition,[],[f198,f3631]) ).
fof(f3833,plain,
! [X1,X5] : inverse(multiply(X5,inverse(X5))) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f3799,f198]) ).
fof(f4053,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)),
inference(superposition,[],[f3052,f3833]) ).
fof(f4056,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f4053,f3052]) ).
fof(f4065,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f4056,f3833]) ).
fof(f4105,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X0,inverse(X0))) = multiply(inverse(X1),multiply(X1,inverse(X2))),
inference(superposition,[],[f99,f4056]) ).
fof(f4703,plain,
! [X0,X4,X5] : multiply(inverse(X5),multiply(X5,X0)) = multiply(X0,multiply(X4,inverse(X4))),
inference(superposition,[],[f4105,f27]) ).
fof(f5086,plain,
! [X3,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(multiply(X3,inverse(X3)))) = X0,
inference(superposition,[],[f2663,f4703]) ).
fof(f5694,plain,
! [X2,X3,X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,inverse(multiply(X3,inverse(X3))))),inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f195,f5086]) ).
fof(f5739,plain,
! [X3,X1] : inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X3,inverse(X3))))),
inference(forward_demodulation,[],[f5694,f2663]) ).
fof(f5763,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(inverse(inverse(multiply(X1,inverse(X1))))),
inference(superposition,[],[f5739,f4056]) ).
fof(f6138,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X0,inverse(X0))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f4065,f5763]) ).
fof(f6151,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = inverse(inverse(multiply(X2,inverse(X2)))),
inference(forward_demodulation,[],[f6138,f5086]) ).
fof(f6211,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(X2,inverse(inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f4703,f6151]) ).
fof(f6298,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = multiply(X1,inverse(X1)),
inference(superposition,[],[f5763,f6151]) ).
fof(f6299,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,multiply(X0,inverse(X0))),
inference(superposition,[],[f5739,f6151]) ).
fof(f6444,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(inverse(X1),multiply(X1,X2)),
inference(forward_demodulation,[],[f6211,f5739]) ).
fof(f6507,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f5739,f6298]) ).
fof(f6704,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(inverse(multiply(X0,inverse(X0))))) = X2,
inference(superposition,[],[f439,f6298]) ).
fof(f6712,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(X1),multiply(X1,X2)))) = X2,
inference(forward_demodulation,[],[f6704,f5739]) ).
fof(f7350,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f6712,f6444]) ).
fof(f7863,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))),inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))))))) = X1,
inference(superposition,[],[f120,f6507]) ).
fof(f7864,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))))),inverse(multiply(inverse(X1),inverse(multiply(X3,inverse(X3))))))) = X2,
inference(superposition,[],[f364,f6507]) ).
fof(f7915,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))))),inverse(inverse(inverse(inverse(X1)))))) = X2,
inference(forward_demodulation,[],[f7864,f6507]) ).
fof(f7916,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))),inverse(inverse(inverse(inverse(X2))))))) = X1,
inference(forward_demodulation,[],[f7863,f6507]) ).
fof(f8025,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))))),X1)) = X2,
inference(forward_demodulation,[],[f7915,f7350]) ).
fof(f8026,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))),X2))) = X1,
inference(forward_demodulation,[],[f7916,f7350]) ).
fof(f8075,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,X2)))))),X1)) = X2,
inference(forward_demodulation,[],[f8025,f6444]) ).
fof(f8076,plain,
! [X2,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(inverse(inverse(X1))))),X2))) = X1,
inference(forward_demodulation,[],[f8026,f6444]) ).
fof(f8094,plain,
! [X2,X1] : inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
inference(forward_demodulation,[],[f8075,f7350]) ).
fof(f8095,plain,
! [X2,X1] : multiply(X2,inverse(multiply(inverse(X1),X2))) = X1,
inference(forward_demodulation,[],[f8076,f7350]) ).
fof(f8165,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(superposition,[],[f8094,f8094]) ).
fof(f8821,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X0)),inverse(multiply(inverse(X0),multiply(X1,inverse(X1))))) = X2,
inference(superposition,[],[f8095,f4105]) ).
fof(f9010,plain,
! [X2,X0] : multiply(multiply(X2,inverse(X0)),inverse(inverse(inverse(inverse(X0))))) = X2,
inference(forward_demodulation,[],[f8821,f6299]) ).
fof(f9063,plain,
! [X2,X0] : multiply(multiply(X2,inverse(X0)),X0) = X2,
inference(forward_demodulation,[],[f9010,f7350]) ).
fof(f9103,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f9063,f8095]) ).
fof(f9170,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(X1))),X0),inverse(multiply(X2,inverse(X2)))) = X1,
inference(superposition,[],[f2663,f9063]) ).
fof(f9226,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),X0))) = X1,
inference(forward_demodulation,[],[f9170,f6507]) ).
fof(f9300,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f9226,f8094]) ).
fof(f10600,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f9103,f9300]) ).
fof(f13854,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f8095,f8165]) ).
fof(f18747,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X4),multiply(X4,X0))),X2)),
inference(superposition,[],[f13854,f372]) ).
fof(f18990,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X0))),X2)),
inference(forward_demodulation,[],[f18747,f6444]) ).
fof(f19127,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X3,multiply(multiply(inverse(X3),X0),X2)),
inference(forward_demodulation,[],[f18990,f9300]) ).
fof(f19213,plain,
! [X2,X3,X0] : multiply(X3,multiply(multiply(inverse(X3),X0),X2)) = multiply(X0,inverse(inverse(X2))),
inference(forward_demodulation,[],[f19127,f6444]) ).
fof(f19259,plain,
! [X2,X3,X0] : multiply(X0,X2) = multiply(X3,multiply(multiply(inverse(X3),X0),X2)),
inference(forward_demodulation,[],[f19213,f9300]) ).
fof(f35238,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(multiply(X1,X0),X2),
inference(superposition,[],[f19259,f10600]) ).
fof(f36375,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(superposition,[],[f2,f35238]) ).
fof(f36519,plain,
$false,
inference(trivial_inequality_removal,[],[f36375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 09:14:40 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 10.70/2.42 % (962076)Will run a generic schedule for satisfiability detection.
% 10.70/2.42 % (962087)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3475370339:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 10.70/2.42 % (962081)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=290906902_3000 on theBenchmark for (3000ds/0Mi)
% 10.70/2.42 % TRYING [1]
% 10.70/2.42 % TRYING [2]
% 10.70/2.42 % TRYING [3]
% 10.70/2.42 % (962082)% WARNING: option uhcvi not known.
% 10.70/2.42 % (962082)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=626452825:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 10.70/2.42 % (962083)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2602274712:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 10.70/2.42 % (962085)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2344410503:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 10.70/2.42 % (962086)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3670126219:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 10.70/2.42 % (962084)dis+10_1_sil=32000:sp=arity:random_seed=3581549541:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 10.70/2.42 % TRYING [4]
% 10.70/2.42 % (962087)Instruction limit reached!
% 10.70/2.42 % (962087)------------------------------
% 10.70/2.42 % (962087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962087)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962087)Termination reason: Instruction limit
% 10.70/2.42 % (962087)Termination phase: Saturation
% 10.70/2.42 % (962087)Time elapsed: 0.070 s
% 10.70/2.42 % (962087)Peak memory usage: 13 MB
% 10.70/2.42 % (962087)Instructions burned: 161 (million)
% 10.70/2.42 % (962097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3102211701:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 10.70/2.42 % TRYING [1]
% 10.70/2.42 % TRYING [2]
% 10.70/2.42 % TRYING [3]
% 10.70/2.42 % TRYING [4]
% 10.70/2.42 % (962084)Instruction limit reached!
% 10.70/2.42 % (962084)------------------------------
% 10.70/2.42 % (962084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962084)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962084)Termination reason: Instruction limit
% 10.70/2.42 % (962084)Termination phase: Saturation
% 10.70/2.42 % (962084)Time elapsed: 0.092 s
% 10.70/2.42 % (962084)Peak memory usage: 12 MB
% 10.70/2.42 % (962084)Instructions burned: 104 (million)
% 10.70/2.42 % (962085)Instruction limit reached!
% 10.70/2.42 % (962085)------------------------------
% 10.70/2.42 % (962085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962085)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962085)Termination reason: Instruction limit
% 10.70/2.42 % (962085)Termination phase: Saturation
% 10.70/2.42 % (962085)Time elapsed: 0.107 s
% 10.70/2.42 % (962085)Peak memory usage: 12 MB
% 10.70/2.42 % (962085)Instructions burned: 116 (million)
% 10.70/2.42 % (962086)Instruction limit reached!
% 10.70/2.42 % (962086)------------------------------
% 10.70/2.42 % (962086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962086)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962086)Termination reason: Instruction limit
% 10.70/2.42 % (962086)Termination phase: Saturation
% 10.70/2.42 % (962086)Time elapsed: 0.123 s
% 10.70/2.42 % (962086)Peak memory usage: 13 MB
% 10.70/2.42 % (962086)Instructions burned: 131 (million)
% 10.70/2.42 % (962099)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2330328076:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.70/2.42 % (962100)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=1446732846:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.70/2.42 % (962101)ott-21_1_sil=16000:fs=off:random_seed=1265087306:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.70/2.42 % (962099)Instruction limit reached!
% 10.70/2.42 % (962099)------------------------------
% 10.70/2.42 % (962099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962099)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962099)Termination reason: Instruction limit
% 10.70/2.42 % (962099)Termination phase: Saturation
% 10.70/2.42 % (962099)Time elapsed: 0.127 s
% 10.70/2.42 % (962099)Peak memory usage: 13 MB
% 10.70/2.42 % (962099)Instructions burned: 131 (million)
% 10.70/2.42 % (962107)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=900111767:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.70/2.42 % (962101)Instruction limit reached!
% 10.70/2.42 % (962101)------------------------------
% 10.70/2.42 % (962101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962101)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962101)Termination reason: Instruction limit
% 10.70/2.42 % (962101)Termination phase: Saturation
% 10.70/2.42 % (962101)Time elapsed: 0.146 s
% 10.70/2.42 % (962101)Peak memory usage: 12 MB
% 10.70/2.42 % (962101)Instructions burned: 180 (million)
% 10.70/2.42 % (962111)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2441725049:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 10.70/2.42 % TRYING [1]
% 10.70/2.42 % TRYING [2]
% 10.70/2.42 % TRYING [3]
% 10.70/2.42 % TRYING [4]
% 10.70/2.42 % (962097)Instruction limit reached!
% 10.70/2.42 % (962097)------------------------------
% 10.70/2.42 % (962097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962097)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962097)Termination reason: Instruction limit
% 10.70/2.42 % (962097)Termination phase: Finite model building SAT solving
% 10.70/2.42 % (962097)Time elapsed: 0.323 s
% 10.70/2.42 % (962097)Peak memory usage: 12 MB
% 10.70/2.42 % (962097)Instructions burned: 715 (million)
% 10.70/2.42 % (962114)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=482543224:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 10.70/2.42 % (962107)Instruction limit reached!
% 10.70/2.42 % (962107)------------------------------
% 10.70/2.42 % (962107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962107)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962107)Termination reason: Instruction limit
% 10.70/2.42 % (962107)Termination phase: Saturation
% 10.70/2.42 % (962107)Time elapsed: 0.410 s
% 10.70/2.42 % (962107)Peak memory usage: 15 MB
% 10.70/2.42 % (962107)Instructions burned: 478 (million)
% 10.70/2.42 % (962121)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4049069593:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 10.70/2.42 % (962100)Instruction limit reached!
% 10.70/2.42 % (962100)------------------------------
% 10.70/2.42 % (962100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962100)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962100)Termination reason: Instruction limit
% 10.70/2.42 % (962100)Termination phase: Saturation
% 10.70/2.42 % (962100)Time elapsed: 0.593 s
% 10.70/2.42 % (962100)Peak memory usage: 17 MB
% 10.70/2.42 % (962100)Instructions burned: 685 (million)
% 10.70/2.42 % (962124)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=177034337:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 10.70/2.42 % TRYING [14]
% 10.70/2.42 % (962114)Instruction limit reached!
% 10.70/2.42 % (962114)------------------------------
% 10.70/2.42 % (962114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962114)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962114)Termination reason: Instruction limit
% 10.70/2.42 % (962114)Termination phase: Saturation
% 10.70/2.42 % (962114)Time elapsed: 0.492 s
% 10.70/2.42 % (962114)Peak memory usage: 21 MB
% 10.70/2.42 % (962114)Instructions burned: 1180 (million)
% 10.70/2.42 % (962128)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3135456291:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 10.70/2.42 % (962111)Instruction limit reached!
% 10.70/2.42 % (962111)------------------------------
% 10.70/2.42 % (962111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962111)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962111)Termination reason: Instruction limit
% 10.70/2.42 % (962111)Termination phase: Finite model building SAT solving
% 10.70/2.42 % (962111)Time elapsed: 0.722 s
% 10.70/2.42 % (962111)Peak memory usage: 11 MB
% 10.70/2.42 % (962111)Instructions burned: 865 (million)
% 10.70/2.42 % (962134)fmb+10_1_sil=64000:random_seed=932495312:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 10.70/2.42 % TRYING [1]
% 10.70/2.42 % TRYING [2]
% 10.70/2.42 % TRYING [3]
% 10.70/2.42 % TRYING [4]
% 10.70/2.42 % (962128)Instruction limit reached!
% 10.70/2.42 % (962128)------------------------------
% 10.70/2.42 % (962128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962128)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962128)Termination reason: Instruction limit
% 10.70/2.42 % (962128)Termination phase: Saturation
% 10.70/2.42 % (962128)Time elapsed: 0.291 s
% 10.70/2.42 % (962128)Peak memory usage: 18 MB
% 10.70/2.42 % (962128)Instructions burned: 881 (million)
% 10.70/2.42 % (962139)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2646234388:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 10.70/2.42 % TRYING [20]
% 10.70/2.42 % (962121)Instruction limit reached!
% 10.70/2.42 % (962121)------------------------------
% 10.70/2.42 % (962121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962121)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962121)Termination reason: Instruction limit
% 10.70/2.42 % (962121)Termination phase: Finite model building constraint generation
% 10.70/2.42 % (962121)Time elapsed: 0.649 s
% 10.70/2.42 % (962121)Peak memory usage: 81 MB
% 10.70/2.42 % (962121)Instructions burned: 889 (million)
% 10.70/2.42 % (962142)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=822853580:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 10.70/2.42 % TRYING [8]
% 10.70/2.42 % (962124)Instruction limit reached!
% 10.70/2.42 % (962124)------------------------------
% 10.70/2.42 % (962124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962124)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962124)Termination reason: Instruction limit
% 10.70/2.42 % (962124)Termination phase: Saturation
% 10.70/2.42 % (962124)Time elapsed: 0.687 s
% 10.70/2.42 % (962124)Peak memory usage: 17 MB
% 10.70/2.42 % (962124)Instructions burned: 692 (million)
% 10.70/2.42 % (962144)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=323882726:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 10.70/2.42 % (962083) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962076-962083"...
% 10.70/2.42 % (962083)...printing done.
% 10.70/2.42 % (962083)Refutation found. Thanks to Tanya!
% 10.70/2.42 % SZS status Unsatisfiable for theBenchmark
% 10.70/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 10.70/2.42 % (962083)------------------------------
% 10.70/2.42 % (962083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.70/2.42 % (962083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.42 % (962083)CaDiCaL version: 2.1.3
% 10.70/2.42 % (962083)Termination reason: Refutation
% 10.70/2.42 % (962083)Time elapsed: 1.897 s
% 10.70/2.42 % (962083)Peak memory usage: 31 MB
% 10.70/2.42 % (962083)Instructions burned: 2289 (million)
% 10.70/2.42 % (962076)Success in time 1.972 s
% 10.70/2.42 % Vampire exiting
%------------------------------------------------------------------------------