%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP440-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 10:17:50 AM UTC 2026
% Result : Unsatisfiable 12.61s 2.28s
% Output : Refutation 12.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 181 ( 181 !; 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(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f4,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(f5,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(f10,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,[],[f5,f1]) ).
fof(f44,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,[],[f5,f4]) ).
fof(f796,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))) = X0,
inference(superposition,[],[f44,f10]) ).
fof(f818,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,f44]) ).
fof(f937,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,[],[f796,f796]) ).
fof(f957,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,[],[f796,f5]) ).
fof(f1509,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(X0,inverse(multiply(inverse(X2),X0))))) = X2,
inference(superposition,[],[f937,f796]) ).
fof(f1624,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,[],[f1509,f1509]) ).
fof(f1643,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,[],[f796,f1509]) ).
fof(f1787,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X0,X3)))),X0))) = X2,
inference(superposition,[],[f1624,f1]) ).
fof(f2201,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X3)))),inverse(X4)))),inverse(multiply(X5,X0)))))) = X5,
inference(superposition,[],[f1,f1643]) ).
fof(f2230,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X3)))),inverse(X4)))),inverse(multiply(inverse(X5),X0))))) = X5,
inference(superposition,[],[f796,f1643]) ).
fof(f2238,plain,
! [X0,X1,X5] : multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X5),X0))))) = X5,
inference(forward_demodulation,[],[f2230,f1643]) ).
fof(f2267,plain,
! [X0,X1,X5] : inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X5,X0)))))) = X5,
inference(forward_demodulation,[],[f2201,f1643]) ).
fof(f2322,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,[],[f2238,f1509]) ).
fof(f2324,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,[],[f2238,f1787]) ).
fof(f2473,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,[],[f2267,f2267]) ).
fof(f3142,plain,
! [X2,X0,X1,X6] : multiply(multiply(X1,multiply(X2,inverse(multiply(X0,X2)))),multiply(X6,multiply(inverse(X6),X0))) = X1,
inference(superposition,[],[f2322,f1]) ).
fof(f3290,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,[],[f3142,f2238]) ).
fof(f4871,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = inverse(inverse(multiply(X1,multiply(X0,inverse(X0))))),
inference(superposition,[],[f818,f2324]) ).
fof(f4985,plain,
! [X3,X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = inverse(inverse(multiply(X0,multiply(X3,inverse(X3))))),
inference(superposition,[],[f4871,f4871]) ).
fof(f5008,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))),
inference(superposition,[],[f4871,f4871]) ).
fof(f5360,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,[],[f957,f4985]) ).
fof(f5465,plain,
! [X0,X1,X4] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X4,inverse(X4))),
inference(forward_demodulation,[],[f5360,f957]) ).
fof(f5502,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = multiply(X0,multiply(X2,inverse(X2))),
inference(superposition,[],[f5465,f4871]) ).
fof(f5835,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,[],[f2473,f5465]) ).
fof(f5837,plain,
! [X3,X1] : multiply(X1,inverse(X1)) = multiply(X3,inverse(X3)),
inference(forward_demodulation,[],[f5835,f2473]) ).
fof(f5912,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(inverse(inverse(X2)),inverse(multiply(X0,inverse(X0)))))) = X2,
inference(superposition,[],[f1509,f5837]) ).
fof(f5916,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f2238,f5837]) ).
fof(f5971,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))))) = X1,
inference(superposition,[],[f2267,f5837]) ).
fof(f6967,plain,
! [X3,X0,X1] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = multiply(X1,multiply(X3,inverse(X3))),
inference(superposition,[],[f5502,f4871]) ).
fof(f8445,plain,
! [X0,X1,X7] : multiply(X7,multiply(inverse(X7),X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(superposition,[],[f5008,f818]) ).
fof(f8750,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(X3,multiply(inverse(X3),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2)))))),
inference(superposition,[],[f8445,f1509]) ).
fof(f11856,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f8750,f5916]) ).
fof(f12205,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f3,f11856]) ).
fof(f12580,plain,
! [X2,X0,X1] : a2 != multiply(multiply(X0,multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X0,X1)))))),a2),
inference(superposition,[],[f12205,f2267]) ).
fof(f13381,plain,
! [X2,X0,X1] : a2 != multiply(multiply(X1,multiply(X2,multiply(inverse(multiply(X1,X2)),multiply(inverse(X0),X0)))),a2),
inference(superposition,[],[f12580,f11856]) ).
fof(f13744,plain,
! [X0,X1] : a2 != multiply(multiply(inverse(X1),multiply(X1,multiply(inverse(X0),X0))),a2),
inference(superposition,[],[f13381,f11856]) ).
fof(f13846,plain,
! [X0] : a2 != multiply(multiply(X0,inverse(X0)),a2),
inference(superposition,[],[f13744,f5912]) ).
fof(f13864,plain,
! [X2,X0,X1] : a2 != multiply(multiply(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X0,X1))))),X0),a2),
inference(superposition,[],[f13846,f2267]) ).
fof(f17341,plain,
! [X2,X3,X0,X1] : a2 != multiply(multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(X3)),X1))))))))),a2),
inference(superposition,[],[f13864,f6967]) ).
fof(f17346,plain,
! [X3,X0] : a2 != multiply(multiply(X0,multiply(inverse(X0),inverse(multiply(X3,inverse(X3))))),a2),
inference(forward_demodulation,[],[f17341,f2267]) ).
fof(f17425,plain,
! [X0] : a2 != multiply(inverse(inverse(X0)),inverse(multiply(inverse(a2),X0))),
inference(superposition,[],[f17346,f3290]) ).
fof(f17467,plain,
! [X0] : a2 != multiply(inverse(inverse(a2)),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f17425,f11856]) ).
fof(f17569,plain,
! [X0,X1] : a2 != multiply(inverse(inverse(a2)),multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))))),
inference(superposition,[],[f17467,f5971]) ).
fof(f17574,plain,
$false,
inference(forward_subsumption_resolution,[],[f17569,f5916]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP440-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:00:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 12.61/2.24 % (2305463)Will run a generic schedule for satisfiability detection.
% 12.61/2.24 % (2305471)dis+10_1_sil=32000:sp=arity:random_seed=2324565461:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.61/2.24 % (2305469)% WARNING: option uhcvi not known.
% 12.61/2.24 % (2305472)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=307494037:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.61/2.24 % (2305468)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3379928317_2999 on theBenchmark for (2999ds/0Mi)
% 12.61/2.24 % (2305469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2061869122:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.61/2.24 % (2305470)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=727610289:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.61/2.24 % (2305474)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1901149603:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.61/2.24 % (2305473)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=20199060:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.61/2.24 % TRYING [1]
% 12.61/2.24 % TRYING [2]
% 12.61/2.24 % TRYING [3]
% 12.61/2.24 % (2305471)Instruction limit reached!
% 12.61/2.24 % (2305471)------------------------------
% 12.61/2.24 % (2305471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.24 % (2305471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.24 % (2305471)CaDiCaL version: 2.1.3
% 12.61/2.24 % (2305471)Termination reason: Instruction limit
% 12.61/2.24 % (2305471)Termination phase: Saturation
% 12.61/2.24 % (2305471)Time elapsed: 0.029 s
% 12.61/2.24 % (2305471)Peak memory usage: 11 MB
% 12.61/2.24 % (2305471)Instructions burned: 104 (million)
% 12.61/2.24 % (2305482)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3215332978:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.61/2.24 % TRYING [1]
% 12.61/2.24 % TRYING [2]
% 12.61/2.24 % TRYING [3]
% 12.61/2.24 % TRYING [4]
% 12.61/2.24 % TRYING [4]
% 12.61/2.24 % (2305472)Instruction limit reached!
% 12.61/2.24 % (2305472)------------------------------
% 12.61/2.24 % (2305472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.24 % (2305472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.24 % (2305472)CaDiCaL version: 2.1.3
% 12.61/2.24 % (2305472)Termination reason: Instruction limit
% 12.61/2.24 % (2305472)Termination phase: Saturation
% 12.61/2.24 % (2305472)Time elapsed: 0.063 s
% 12.61/2.24 % (2305472)Peak memory usage: 12 MB
% 12.61/2.24 % (2305472)Instructions burned: 116 (million)
% 12.61/2.24 % (2305473)Instruction limit reached!
% 12.61/2.24 % (2305473)------------------------------
% 12.61/2.24 % (2305473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.24 % (2305473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.24 % (2305473)CaDiCaL version: 2.1.3
% 12.61/2.24 % (2305473)Termination reason: Instruction limit
% 12.61/2.24 % (2305473)Termination phase: Saturation
% 12.61/2.24 % (2305473)Time elapsed: 0.071 s
% 12.61/2.24 % (2305473)Peak memory usage: 12 MB
% 12.61/2.24 % (2305473)Instructions burned: 131 (million)
% 12.61/2.24 % (2305484)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2377825510:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 12.61/2.24 % (2305474)Instruction limit reached!
% 12.61/2.24 % (2305474)------------------------------
% 12.61/2.24 % (2305474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.24 % (2305474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.24 % (2305474)CaDiCaL version: 2.1.3
% 12.61/2.24 % (2305474)Termination reason: Instruction limit
% 12.61/2.24 % (2305474)Termination phase: Saturation
% 12.61/2.24 % (2305474)Time elapsed: 0.090 s
% 12.61/2.24 % (2305474)Peak memory usage: 12 MB
% 12.61/2.24 % (2305474)Instructions burned: 160 (million)
% 12.61/2.24 % (2305485)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=54142202:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.61/2.24 % (2305487)ott-21_1_sil=16000:fs=off:random_seed=1960477283:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.61/2.24 % (2305484)Instruction limit reached!
% 12.61/2.24 % (2305484)------------------------------
% 12.61/2.24 % (2305484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.24 % (2305484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305484)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305484)Termination reason: Instruction limit
% 12.61/2.28 % (2305484)Termination phase: Saturation
% 12.61/2.28 % (2305484)Time elapsed: 0.077 s
% 12.61/2.28 % (2305484)Peak memory usage: 13 MB
% 12.61/2.28 % (2305484)Instructions burned: 132 (million)
% 12.61/2.28 % (2305490)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3821467770:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.61/2.28 % (2305487)Instruction limit reached!
% 12.61/2.28 % (2305487)------------------------------
% 12.61/2.28 % (2305487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305487)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305487)Termination reason: Instruction limit
% 12.61/2.28 % (2305487)Termination phase: Saturation
% 12.61/2.28 % (2305487)Time elapsed: 0.085 s
% 12.61/2.28 % (2305487)Peak memory usage: 12 MB
% 12.61/2.28 % (2305487)Instructions burned: 181 (million)
% 12.61/2.28 % (2305492)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=905389444:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.61/2.28 % TRYING [1]
% 12.61/2.28 % TRYING [2]
% 12.61/2.28 % TRYING [3]
% 12.61/2.28 % TRYING [4]
% 12.61/2.28 % (2305482)Instruction limit reached!
% 12.61/2.28 % (2305482)------------------------------
% 12.61/2.28 % (2305482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305482)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305482)Termination reason: Instruction limit
% 12.61/2.28 % (2305482)Termination phase: Finite model building SAT solving
% 12.61/2.28 % (2305482)Time elapsed: 0.216 s
% 12.61/2.28 % (2305482)Peak memory usage: 14 MB
% 12.61/2.28 % (2305482)Instructions burned: 718 (million)
% 12.61/2.28 % (2305494)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=723806409:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 12.61/2.28 % (2305490)Instruction limit reached!
% 12.61/2.28 % (2305490)------------------------------
% 12.61/2.28 % (2305490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305490)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305490)Termination reason: Instruction limit
% 12.61/2.28 % (2305490)Termination phase: Saturation
% 12.61/2.28 % (2305490)Time elapsed: 0.237 s
% 12.61/2.28 % (2305490)Peak memory usage: 15 MB
% 12.61/2.28 % (2305490)Instructions burned: 478 (million)
% 12.61/2.28 % (2305485)Instruction limit reached!
% 12.61/2.28 % (2305485)------------------------------
% 12.61/2.28 % (2305485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305485)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305485)Termination reason: Instruction limit
% 12.61/2.28 % (2305485)Termination phase: Saturation
% 12.61/2.28 % (2305485)Time elapsed: 0.344 s
% 12.61/2.28 % (2305485)Peak memory usage: 19 MB
% 12.61/2.28 % (2305485)Instructions burned: 684 (million)
% 12.61/2.28 % (2305496)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1746421629:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 12.61/2.28 % (2305497)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=3715864900: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)
% 12.61/2.28 % TRYING [14]
% 12.61/2.28 % (2305494)Instruction limit reached!
% 12.61/2.28 % (2305494)------------------------------
% 12.61/2.28 % (2305494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305494)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305494)Termination reason: Instruction limit
% 12.61/2.28 % (2305494)Termination phase: Saturation
% 12.61/2.28 % (2305494)Time elapsed: 0.319 s
% 12.61/2.28 % (2305494)Peak memory usage: 24 MB
% 12.61/2.28 % (2305494)Instructions burned: 1181 (million)
% 12.61/2.28 % (2305500)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2620219095:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.61/2.28 % (2305492)Instruction limit reached!
% 12.61/2.28 % (2305492)------------------------------
% 12.61/2.28 % (2305492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305492)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305492)Termination reason: Instruction limit
% 12.61/2.28 % (2305492)Termination phase: Finite model building SAT solving
% 12.61/2.28 % (2305492)Time elapsed: 0.543 s
% 12.61/2.28 % (2305492)Peak memory usage: 12 MB
% 12.61/2.28 % (2305492)Instructions burned: 865 (million)
% 12.61/2.28 % (2305496)Instruction limit reached!
% 12.61/2.28 % (2305496)------------------------------
% 12.61/2.28 % (2305496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305496)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305496)Termination reason: Instruction limit
% 12.61/2.28 % (2305496)Termination phase: Finite model building constraint generation
% 12.61/2.28 % (2305496)Time elapsed: 0.322 s
% 12.61/2.28 % (2305496)Peak memory usage: 79 MB
% 12.61/2.28 % (2305496)Instructions burned: 890 (million)
% 12.61/2.28 % (2305502)fmb+10_1_sil=64000:random_seed=676438795:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 12.61/2.28 % TRYING [1]
% 12.61/2.28 % TRYING [2]
% 12.61/2.28 % TRYING [3]
% 12.61/2.28 % (2305503)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3705964177:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 12.61/2.28 % TRYING [20]
% 12.61/2.28 % TRYING [4]
% 12.61/2.28 % (2305500)Instruction limit reached!
% 12.61/2.28 % (2305500)------------------------------
% 12.61/2.28 % (2305500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305500)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305500)Termination reason: Instruction limit
% 12.61/2.28 % (2305500)Termination phase: Saturation
% 12.61/2.28 % (2305500)Time elapsed: 0.233 s
% 12.61/2.28 % (2305500)Peak memory usage: 19 MB
% 12.61/2.28 % (2305500)Instructions burned: 882 (million)
% 12.61/2.28 % (2305497)Instruction limit reached!
% 12.61/2.28 % (2305497)------------------------------
% 12.61/2.28 % (2305497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305497)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305497)Termination reason: Instruction limit
% 12.61/2.28 % (2305497)Termination phase: Saturation
% 12.61/2.28 % (2305497)Time elapsed: 0.372 s
% 12.61/2.28 % (2305497)Peak memory usage: 15 MB
% 12.61/2.28 % (2305497)Instructions burned: 694 (million)
% 12.61/2.28 % (2305506)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3468191981:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 12.61/2.28 % TRYING [8]
% 12.61/2.28 % (2305507)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=388367911:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 12.61/2.28 % (2305506)Instruction limit reached!
% 12.61/2.28 % (2305506)------------------------------
% 12.61/2.28 % (2305506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305506)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305506)Termination reason: Instruction limit
% 12.61/2.28 % (2305506)Termination phase: Finite model building constraint generation
% 12.61/2.28 % (2305506)Time elapsed: 0.189 s
% 12.61/2.28 % (2305506)Peak memory usage: 62 MB
% 12.61/2.28 % (2305506)Instructions burned: 920 (million)
% 12.61/2.28 % (2305510)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3061583790:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 12.61/2.28 % TRYING [5]
% 12.61/2.28 % (2305510)Instruction limit reached!
% 12.61/2.28 % (2305510)------------------------------
% 12.61/2.28 % (2305510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305510)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305510)Termination reason: Instruction limit
% 12.61/2.28 % (2305510)Termination phase: Saturation
% 12.61/2.28 % (2305510)Time elapsed: 0.372 s
% 12.61/2.28 % (2305510)Peak memory usage: 26 MB
% 12.61/2.28 % (2305510)Instructions burned: 1473 (million)
% 12.61/2.28 % (2305512)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4086329338:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 12.61/2.28 % TRYING [77]
% 12.61/2.28 % (2305470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2305463-2305470"...
% 12.61/2.28 % (2305470)...printing done.
% 12.61/2.28 % (2305470)Refutation found. Thanks to Tanya!
% 12.61/2.28 % SZS status Unsatisfiable for theBenchmark
% 12.61/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 12.61/2.28 % (2305470)------------------------------
% 12.61/2.28 % (2305470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.28 % (2305470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.28 % (2305470)CaDiCaL version: 2.1.3
% 12.61/2.28 % (2305470)Termination reason: Refutation
% 12.61/2.28 % (2305470)Time elapsed: 1.787 s
% 12.61/2.28 % (2305470)Peak memory usage: 37 MB
% 12.61/2.28 % (2305470)Instructions burned: 4901 (million)
% 12.61/2.28 % (2305463)Success in time 1.855 s
% 12.61/2.28 % Vampire exiting
%------------------------------------------------------------------------------