%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP443-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 7.82s 3.18s
% Output : Refutation 7.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 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 : 153 ( 153 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/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(X2,multiply(multiply(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,multiply(X3,X4)))))),X0),inverse(multiply(X6,multiply(X1,X2))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,multiply(X3,X1)))),multiply(multiply(X4,inverse(X4)),X0)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,multiply(X2,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X0),multiply(multiply(X5,inverse(X5)),X2)))) = X3,
inference(superposition,[],[f5,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(X0,X4)))) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(X6,inverse(X6)),X4)))),
inference(superposition,[],[f5,f5]) ).
fof(f82,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,X0))),multiply(X2,X3)))) = X0,
inference(superposition,[],[f9,f8]) ).
fof(f123,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(X7,inverse(X7)),X3) = multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X5,inverse(X5)),X1),multiply(multiply(X6,inverse(X6)),X2))))),
inference(superposition,[],[f82,f9]) ).
fof(f145,plain,
! [X3,X7,X4] : multiply(multiply(X4,inverse(X4)),X3) = multiply(multiply(X7,inverse(X7)),X3),
inference(forward_demodulation,[],[f123,f8]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X7,inverse(X7)) = inverse(multiply(X1,multiply(X2,multiply(multiply(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(X3,X4)))))),X6),inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,X2))))))),
inference(superposition,[],[f4,f145]) ).
fof(f268,plain,
! [X0,X7] : multiply(X0,inverse(X0)) = multiply(X7,inverse(X7)),
inference(forward_demodulation,[],[f256,f4]) ).
fof(f315,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,inverse(X0)))))))) = X3,
inference(superposition,[],[f1,f268]) ).
fof(f321,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),X3))),multiply(X0,inverse(X0))))) = X3,
inference(superposition,[],[f82,f268]) ).
fof(f322,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(X0)))),multiply(X2,X3)))),
inference(superposition,[],[f82,f268]) ).
fof(f688,plain,
! [X3,X0,X1] : inverse(multiply(X3,multiply(inverse(X3),X0))) = inverse(multiply(X1,multiply(inverse(X1),X0))),
inference(superposition,[],[f315,f82]) ).
fof(f739,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X1))))) = inverse(multiply(X1,multiply(X0,inverse(X0)))),
inference(superposition,[],[f688,f268]) ).
fof(f964,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(X3)) = multiply(multiply(X1,multiply(X2,inverse(X2))),inverse(multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))))),
inference(superposition,[],[f268,f739]) ).
fof(f1766,plain,
! [X3,X0,X1,X4] : inverse(multiply(inverse(X1),multiply(X0,multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),X0))))))) = X1,
inference(superposition,[],[f5,f321]) ).
fof(f1914,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(inverse(X2),X1)) = inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(inverse(X5),X3))))))),
inference(superposition,[],[f1766,f688]) ).
fof(f2054,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f1914,f1766]) ).
fof(f2078,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),X2)) = multiply(X3,multiply(inverse(X3),X2)),
inference(superposition,[],[f2054,f145]) ).
fof(f9305,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X2,X3)))))))),multiply(X0,inverse(X0))))) = X1,
inference(superposition,[],[f4,f964]) ).
fof(f9406,plain,
! [X0,X1,X5] : inverse(multiply(inverse(X1),multiply(inverse(multiply(X5,inverse(X5))),multiply(X0,inverse(X0))))) = X1,
inference(forward_demodulation,[],[f9305,f1]) ).
fof(f9551,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(X1,inverse(X1)),X2))) = X2,
inference(superposition,[],[f82,f9406]) ).
fof(f10207,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),X2))) = X2,
inference(superposition,[],[f9551,f2078]) ).
fof(f10233,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = X0,
inference(superposition,[],[f315,f9551]) ).
fof(f10363,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))))) = X1,
inference(superposition,[],[f10233,f2054]) ).
fof(f10411,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(inverse(multiply(X0,multiply(X1,inverse(X1)))),X0),
inference(superposition,[],[f268,f10233]) ).
fof(f10465,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X0,multiply(X4,inverse(X4)))),multiply(X0,X2))))))) = X1,
inference(superposition,[],[f1766,f10233]) ).
fof(f10520,plain,
! [X2,X1] : inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[],[f10465,f322]) ).
fof(f10612,plain,
! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),inverse(inverse(inverse(X1)))))) = X1,
inference(superposition,[],[f10520,f2054]) ).
fof(f10628,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),multiply(X0,multiply(inverse(X0),X1))) = X1,
inference(superposition,[],[f321,f10520]) ).
fof(f12213,plain,
! [X2,X0,X1] : inverse(inverse(multiply(multiply(inverse(inverse(X1)),multiply(X2,inverse(X2))),multiply(X0,inverse(X0))))) = X1,
inference(superposition,[],[f10363,f10411]) ).
fof(f12302,plain,
! [X2,X1] : multiply(inverse(inverse(X1)),multiply(X2,inverse(X2))) = X1,
inference(forward_demodulation,[],[f12213,f10233]) ).
fof(f12416,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X1))) = multiply(inverse(X0),X0),
inference(superposition,[],[f10207,f12302]) ).
fof(f12594,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(X2),X2),
inference(superposition,[],[f12416,f12416]) ).
fof(f13047,plain,
! [X0,X1] : inverse(multiply(inverse(X1),multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f9406,f12594]) ).
fof(f13060,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f3,f12594]) ).
fof(f14805,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f13047,f10612]) ).
fof(f14979,plain,
! [X0,X1] : a2 != multiply(multiply(X0,multiply(inverse(X0),multiply(inverse(X1),X1))),a2),
inference(superposition,[],[f13060,f13047]) ).
fof(f15326,plain,
! [X0,X1] : a2 != multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(X0,inverse(X0)))),a2),
inference(superposition,[],[f14979,f12416]) ).
fof(f15492,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f14805,f10233]) ).
fof(f19924,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = inverse(inverse(X0)),
inference(superposition,[],[f10628,f15492]) ).
fof(f19950,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f19924,f14805]) ).
fof(f22488,plain,
! [X0,X1] : a2 != multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),a2),
inference(superposition,[],[f15326,f14805]) ).
fof(f37486,plain,
a2 != a2,
inference(superposition,[],[f22488,f19950]) ).
fof(f37804,plain,
$false,
inference(trivial_inequality_removal,[],[f37486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP443-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.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 10:09:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 7.82/3.18 % (2393200)Will run a generic schedule for satisfiability detection.
% 7.82/3.18 % (2393208)% WARNING: option uhcvi not known.
% 7.82/3.18 % (2393214)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1618925967:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.82/3.18 % (2393210)dis+10_1_sil=32000:sp=arity:random_seed=3706704997:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.82/3.18 % (2393208)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3176763247:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.82/3.18 % (2393207)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=194869407_2999 on theBenchmark for (2999ds/0Mi)
% 7.82/3.18 % TRYING [1]
% 7.82/3.18 % TRYING [2]
% 7.82/3.18 % (2393213)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=917816478:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.82/3.18 % TRYING [3]
% 7.82/3.18 % (2393209)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2101082689:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.82/3.18 % (2393212)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2578797577:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.82/3.18 % TRYING [4]
% 7.82/3.18 % (2393214)Instruction limit reached!
% 7.82/3.18 % (2393214)------------------------------
% 7.82/3.18 % (2393214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393214)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393214)Termination reason: Instruction limit
% 7.82/3.18 % (2393214)Termination phase: Saturation
% 7.82/3.18 % (2393214)Time elapsed: 0.050 s
% 7.82/3.18 % (2393214)Peak memory usage: 12 MB
% 7.82/3.18 % (2393214)Instructions burned: 159 (million)
% 7.82/3.18 % (2393210)Instruction limit reached!
% 7.82/3.18 % (2393210)------------------------------
% 7.82/3.18 % (2393210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393210)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393210)Termination reason: Instruction limit
% 7.82/3.18 % (2393210)Termination phase: Saturation
% 7.82/3.18 % (2393210)Time elapsed: 0.054 s
% 7.82/3.18 % (2393210)Peak memory usage: 12 MB
% 7.82/3.18 % (2393210)Instructions burned: 104 (million)
% 7.82/3.18 % (2393228)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1260560220:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.82/3.18 % TRYING [1]
% 7.82/3.18 % TRYING [2]
% 7.82/3.18 % TRYING [3]
% 7.82/3.18 % TRYING [4]
% 7.82/3.18 % (2393229)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2419342260:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.82/3.18 % (2393213)Instruction limit reached!
% 7.82/3.18 % (2393213)------------------------------
% 7.82/3.18 % (2393213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393213)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393213)Termination reason: Instruction limit
% 7.82/3.18 % (2393213)Termination phase: Saturation
% 7.82/3.18 % (2393213)Time elapsed: 0.073 s
% 7.82/3.18 % (2393213)Peak memory usage: 12 MB
% 7.82/3.18 % (2393213)Instructions burned: 132 (million)
% 7.82/3.18 % (2393232)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=3744358695:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.82/3.18 % (2393212)Instruction limit reached!
% 7.82/3.18 % (2393212)------------------------------
% 7.82/3.18 % (2393212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393212)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393212)Termination reason: Instruction limit
% 7.82/3.18 % (2393212)Termination phase: Saturation
% 7.82/3.18 % (2393212)Time elapsed: 0.107 s
% 7.82/3.18 % (2393212)Peak memory usage: 12 MB
% 7.82/3.18 % (2393212)Instructions burned: 117 (million)
% 7.82/3.18 % (2393229)Instruction limit reached!
% 7.82/3.18 % (2393229)------------------------------
% 7.82/3.18 % (2393229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393229)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393229)Termination reason: Instruction limit
% 7.82/3.18 % (2393229)Termination phase: Saturation
% 7.82/3.18 % (2393229)Time elapsed: 0.074 s
% 7.82/3.18 % (2393229)Peak memory usage: 12 MB
% 7.82/3.18 % (2393229)Instructions burned: 132 (million)
% 7.82/3.18 % (2393234)ott-21_1_sil=16000:fs=off:random_seed=4027137551:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.82/3.18 % (2393235)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3742206239:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.82/3.18 % (2393234)Instruction limit reached!
% 7.82/3.18 % (2393234)------------------------------
% 7.82/3.18 % (2393234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393234)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393234)Termination reason: Instruction limit
% 7.82/3.18 % (2393234)Termination phase: Saturation
% 7.82/3.18 % (2393234)Time elapsed: 0.109 s
% 7.82/3.18 % (2393234)Peak memory usage: 11 MB
% 7.82/3.18 % (2393234)Instructions burned: 181 (million)
% 7.82/3.18 % (2393238)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2173266745:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.82/3.18 % TRYING [1]
% 7.82/3.18 % (2393228)Instruction limit reached!
% 7.82/3.18 % (2393228)------------------------------
% 7.82/3.18 % (2393228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393228)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393228)Termination reason: Instruction limit
% 7.82/3.18 % (2393228)Termination phase: Finite model building SAT solving
% 7.82/3.18 % (2393228)Time elapsed: 0.228 s
% 7.82/3.18 % (2393228)Peak memory usage: 12 MB
% 7.82/3.18 % (2393228)Instructions burned: 714 (million)
% 7.82/3.18 % TRYING [2]
% 7.82/3.18 % TRYING [3]
% 7.82/3.18 % (2393240)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4103322458:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.82/3.18 % TRYING [4]
% 7.82/3.18 % (2393235)Instruction limit reached!
% 7.82/3.18 % (2393235)------------------------------
% 7.82/3.18 % (2393235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393235)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393235)Termination reason: Instruction limit
% 7.82/3.18 % (2393235)Termination phase: Saturation
% 7.82/3.18 % (2393235)Time elapsed: 0.235 s
% 7.82/3.18 % (2393235)Peak memory usage: 15 MB
% 7.82/3.18 % (2393235)Instructions burned: 478 (million)
% 7.82/3.18 % (2393242)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4222228297:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.82/3.18 % (2393232)Instruction limit reached!
% 7.82/3.18 % (2393232)------------------------------
% 7.82/3.18 % (2393232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393232)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393232)Termination reason: Instruction limit
% 7.82/3.18 % (2393232)Termination phase: Saturation
% 7.82/3.18 % (2393232)Time elapsed: 0.340 s
% 7.82/3.18 % (2393232)Peak memory usage: 16 MB
% 7.82/3.18 % (2393232)Instructions burned: 686 (million)
% 7.82/3.18 % TRYING [14]
% 7.82/3.18 % (2393244)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=691827886:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.82/3.18 % TRYING [5]
% 7.82/3.18 % (2393240)Instruction limit reached!
% 7.82/3.18 % (2393240)------------------------------
% 7.82/3.18 % (2393240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393240)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393240)Termination reason: Instruction limit
% 7.82/3.18 % (2393240)Termination phase: Saturation
% 7.82/3.18 % (2393240)Time elapsed: 0.352 s
% 7.82/3.18 % (2393240)Peak memory usage: 22 MB
% 7.82/3.18 % (2393240)Instructions burned: 1179 (million)
% 7.82/3.18 % (2393254)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2872339639:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.82/3.18 % (2393238)Instruction limit reached!
% 7.82/3.18 % (2393238)------------------------------
% 7.82/3.18 % (2393238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393238)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393238)Termination reason: Instruction limit
% 7.82/3.18 % (2393238)Termination phase: Finite model building SAT solving
% 7.82/3.18 % (2393238)Time elapsed: 0.613 s
% 7.82/3.18 % (2393238)Peak memory usage: 11 MB
% 7.82/3.18 % (2393238)Instructions burned: 865 (million)
% 7.82/3.18 % (2393265)fmb+10_1_sil=64000:random_seed=1546093636:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 7.82/3.18 % TRYING [1]
% 7.82/3.18 % TRYING [2]
% 7.82/3.18 % TRYING [3]
% 7.82/3.18 % (2393242)Instruction limit reached!
% 7.82/3.18 % (2393242)------------------------------
% 7.82/3.18 % (2393242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393242)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393242)Termination reason: Instruction limit
% 7.82/3.18 % (2393242)Termination phase: Finite model building constraint generation
% 7.82/3.18 % (2393242)Time elapsed: 0.504 s
% 7.82/3.18 % (2393242)Peak memory usage: 79 MB
% 7.82/3.18 % (2393242)Instructions burned: 890 (million)
% 7.82/3.18 % TRYING [4]
% 7.82/3.18 % (2393268)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=136328362:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.82/3.18 % TRYING [20]
% 7.82/3.18 % (2393244)Instruction limit reached!
% 7.82/3.18 % (2393244)------------------------------
% 7.82/3.18 % (2393244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393244)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393244)Termination reason: Instruction limit
% 7.82/3.18 % (2393244)Termination phase: Saturation
% 7.82/3.18 % (2393244)Time elapsed: 0.583 s
% 7.82/3.18 % (2393244)Peak memory usage: 16 MB
% 7.82/3.18 % (2393244)Instructions burned: 692 (million)
% 7.82/3.18 % (2393254)Instruction limit reached!
% 7.82/3.18 % (2393254)------------------------------
% 7.82/3.18 % (2393254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393254)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393254)Termination reason: Instruction limit
% 7.82/3.18 % (2393254)Termination phase: Saturation
% 7.82/3.18 % (2393254)Time elapsed: 0.378 s
% 7.82/3.18 % (2393254)Peak memory usage: 18 MB
% 7.82/3.18 % (2393254)Instructions burned: 879 (million)
% 7.82/3.18 % (2393271)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4099247889:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.82/3.18 % TRYING [8]
% 7.82/3.18 % (2393272)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4070274779:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.82/3.18 % TRYING [5]
% 7.82/3.18 % (2393271)Instruction limit reached!
% 7.82/3.18 % (2393271)------------------------------
% 7.82/3.18 % (2393271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393271)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393271)Termination reason: Instruction limit
% 7.82/3.18 % (2393271)Termination phase: Finite model building SAT solving
% 7.82/3.18 % (2393271)Time elapsed: 0.799 s
% 7.82/3.18 % (2393271)Peak memory usage: 34 MB
% 7.82/3.18 % (2393271)Instructions burned: 920 (million)
% 7.82/3.18 % (2393280)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3857632427:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 7.82/3.18 % (2393209) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2393200-2393209"...
% 7.82/3.18 % (2393209)...printing done.
% 7.82/3.18 % (2393209)Refutation found. Thanks to Tanya!
% 7.82/3.18 % SZS status Unsatisfiable for theBenchmark
% 7.82/3.18 % SZS output start Proof for theBenchmark
% See solution above
% 7.82/3.18 % (2393209)------------------------------
% 7.82/3.18 % (2393209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.82/3.18 % (2393209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/3.18 % (2393209)CaDiCaL version: 2.1.3
% 7.82/3.18 % (2393209)Termination reason: Refutation
% 7.82/3.18 % (2393209)Time elapsed: 2.668 s
% 7.82/3.18 % (2393209)Peak memory usage: 35 MB
% 7.82/3.18 % (2393209)Instructions burned: 4396 (million)
% 7.82/3.18 % (2393200)Success in time 2.755 s
% 7.82/3.18 % Vampire exiting
%------------------------------------------------------------------------------