%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 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 10:17:09 AM UTC 2026
% Result : Unsatisfiable 27.22s 6.80s
% Output : Refutation 27.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_left_division) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_division_multiply) ).
fof(f5,axiom,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_right_division) ).
fof(f6,axiom,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_division_multiply) ).
fof(f7,axiom,
! [X0] : multiply(X0,right_inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f8,plain,
! [X0] : identity = multiply(X0,right_inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(left_inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f10,plain,
! [X0] : identity = multiply(left_inverse(X0),X0),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),X0) = multiply(multiply(X0,X1),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang1) ).
fof(f12,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang2) ).
fof(f23,plain,
! [X0] : identity = left_division(X0,X0),
inference(superposition,[],[f4,f2]) ).
fof(f24,plain,
! [X0] : right_inverse(X0) = left_division(X0,identity),
inference(superposition,[],[f4,f8]) ).
fof(f25,plain,
! [X0] : left_division(left_inverse(X0),identity) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f34,plain,
! [X0] : right_inverse(left_inverse(X0)) = X0,
inference(forward_demodulation,[],[f25,f24]) ).
fof(f82,plain,
! [X0,X1] : multiply(multiply(X0,X1),multiply(right_inverse(X1),X0)) = multiply(multiply(X0,identity),X0),
inference(superposition,[],[f11,f8]) ).
fof(f83,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X1) = multiply(multiply(X1,X2),multiply(left_division(X2,X0),X1)),
inference(superposition,[],[f11,f3]) ).
fof(f84,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = multiply(multiply(X1,identity),multiply(X0,X1)),
inference(superposition,[],[f11,f1]) ).
fof(f93,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = right_division(multiply(multiply(X0,X1),multiply(X2,X0)),X0),
inference(superposition,[],[f6,f11]) ).
fof(f102,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = multiply(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f84,f2]) ).
fof(f103,plain,
! [X0,X1] : multiply(multiply(X0,X1),multiply(right_inverse(X1),X0)) = multiply(X0,X0),
inference(forward_demodulation,[],[f82,f2]) ).
fof(f108,plain,
! [X0] : multiply(identity,X0) = multiply(X0,multiply(right_inverse(X0),X0)),
inference(superposition,[],[f102,f8]) ).
fof(f109,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(left_division(X1,X0),X1)),
inference(superposition,[],[f102,f3]) ).
fof(f127,plain,
! [X0] : multiply(X0,multiply(right_inverse(X0),X0)) = X0,
inference(forward_demodulation,[],[f108,f1]) ).
fof(f138,plain,
! [X0] : left_division(X0,X0) = multiply(right_inverse(X0),X0),
inference(superposition,[],[f4,f127]) ).
fof(f141,plain,
! [X0] : identity = multiply(right_inverse(X0),X0),
inference(forward_demodulation,[],[f138,f23]) ).
fof(f188,plain,
! [X0] : left_division(right_inverse(X0),identity) = X0,
inference(superposition,[],[f4,f141]) ).
fof(f194,plain,
! [X0] : right_inverse(right_inverse(X0)) = X0,
inference(forward_demodulation,[],[f188,f24]) ).
fof(f201,plain,
! [X0] : right_inverse(X0) = left_inverse(X0),
inference(superposition,[],[f194,f34]) ).
fof(f244,plain,
! [X0,X1] : multiply(multiply(X1,left_division(X1,X0)),multiply(X1,X1)) = multiply(multiply(X0,X1),X1),
inference(superposition,[],[f11,f109]) ).
fof(f254,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(forward_demodulation,[],[f244,f3]) ).
fof(f2209,plain,
! [X0,X1] : multiply(X1,X1) = multiply(X0,multiply(right_inverse(left_division(X1,X0)),X1)),
inference(superposition,[],[f103,f3]) ).
fof(f2338,plain,
! [X0,X1] : multiply(right_inverse(left_division(X0,X1)),X0) = left_division(X1,multiply(X0,X0)),
inference(superposition,[],[f4,f2209]) ).
fof(f2750,plain,
! [X0,X1] : right_inverse(left_division(X1,X0)) = right_division(left_division(X0,multiply(X1,X1)),X1),
inference(superposition,[],[f6,f2338]) ).
fof(f4987,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),multiply(left_division(X2,X0),X1)) = multiply(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f83,f102]) ).
fof(f6343,plain,
! [X0,X1] : multiply(X0,multiply(right_inverse(X0),X1)) = right_division(multiply(identity,multiply(X1,X0)),X0),
inference(superposition,[],[f93,f8]) ).
fof(f6382,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,X1)) = right_division(multiply(identity,multiply(X1,left_inverse(X0))),left_inverse(X0)),
inference(superposition,[],[f93,f10]) ).
fof(f6502,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X0,X1)) = right_division(multiply(identity,multiply(X1,right_inverse(X0))),right_inverse(X0)),
inference(forward_demodulation,[],[f6382,f201]) ).
fof(f6515,plain,
! [X0,X1] : right_division(multiply(X1,X0),X0) = multiply(X0,multiply(right_inverse(X0),X1)),
inference(forward_demodulation,[],[f6343,f1]) ).
fof(f6542,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X0,X1)) = right_division(multiply(X1,right_inverse(X0)),right_inverse(X0)),
inference(forward_demodulation,[],[f6502,f1]) ).
fof(f6549,plain,
! [X0,X1] : multiply(X0,multiply(right_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f6515,f6]) ).
fof(f6556,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f6542,f6]) ).
fof(f6577,plain,
! [X0,X1] : multiply(X1,X0) = left_division(right_inverse(X1),X0),
inference(superposition,[],[f6549,f3]) ).
fof(f6587,plain,
! [X0,X1] : left_division(X1,X0) = multiply(right_inverse(X1),X0),
inference(superposition,[],[f4,f6549]) ).
fof(f6706,plain,
! [X0,X1] : right_inverse(X1) = right_division(X0,multiply(X1,X0)),
inference(superposition,[],[f6,f6556]) ).
fof(f7101,plain,
! [X0,X1] : multiply(left_division(X0,X1),X1) = multiply(right_inverse(X0),multiply(X1,X1)),
inference(superposition,[],[f254,f6587]) ).
fof(f7184,plain,
! [X0,X1] : multiply(left_division(X0,X1),X1) = left_division(X0,multiply(X1,X1)),
inference(forward_demodulation,[],[f7101,f6587]) ).
fof(f7350,plain,
! [X0,X1] : right_division(X1,X0) = right_inverse(right_division(X0,X1)),
inference(superposition,[],[f6706,f5]) ).
fof(f7672,plain,
! [X2,X0,X1] : multiply(right_division(X1,X0),X2) = left_division(right_division(X0,X1),X2),
inference(superposition,[],[f6577,f7350]) ).
fof(f15435,plain,
! [X2,X0,X1] : multiply(right_division(X0,left_division(X1,multiply(X0,X0))),X2) = left_division(right_inverse(left_division(X0,X1)),X2),
inference(superposition,[],[f7672,f2750]) ).
fof(f15643,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),X2) = multiply(right_division(X0,left_division(X1,multiply(X0,X0))),X2),
inference(forward_demodulation,[],[f15435,f6577]) ).
fof(f15725,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),X2) = multiply(right_division(X0,multiply(left_division(X1,X0),X0)),X2),
inference(forward_demodulation,[],[f15643,f7184]) ).
fof(f15768,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),X2) = multiply(right_inverse(left_division(X1,X0)),X2),
inference(forward_demodulation,[],[f15725,f6706]) ).
fof(f15788,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),X2) = left_division(left_division(X1,X0),X2),
inference(forward_demodulation,[],[f15768,f6587]) ).
fof(f21361,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X1)) = multiply(X0,multiply(left_division(left_division(X1,X0),X2),X1)),
inference(superposition,[],[f4987,f3]) ).
fof(f21671,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X1)) = multiply(X0,multiply(multiply(left_division(X0,X1),X2),X1)),
inference(forward_demodulation,[],[f21361,f15788]) ).
fof(f109482,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,multiply(X1,X0))) = multiply(multiply(left_division(right_inverse(X2),X0),X1),X0),
inference(superposition,[],[f6549,f21671]) ).
fof(f109487,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,multiply(X1,X0))) = multiply(multiply(multiply(X2,X0),X1),X0),
inference(forward_demodulation,[],[f109482,f6577]) ).
fof(f135971,plain,
multiply(a,multiply(b,multiply(c,b))) != multiply(a,multiply(b,multiply(c,b))),
inference(superposition,[],[f12,f109487]) ).
fof(f136111,plain,
$false,
inference(trivial_inequality_removal,[],[f135971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 09:43:15 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45 Running first-order model finding
% 0.15/0.45 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
% 20.25/3.35 % (3304485)Will run a generic schedule for satisfiability detection.
% 20.25/3.35 % (3304494)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=538299561:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 20.25/3.35 % (3304491)% WARNING: option uhcvi not known.
% 20.25/3.35 % (3304491)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2072967903:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 20.25/3.35 % (3304490)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=795577655_3000 on theBenchmark for (3000ds/0Mi)
% 20.25/3.35 % (3304496)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3659212522:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 20.25/3.35 % (3304492)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=871646550:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 20.25/3.35 % (3304493)dis+10_1_sil=32000:sp=arity:random_seed=2808369688:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 20.25/3.35 % TRYING [1]
% 20.25/3.35 % TRYING [2]
% 20.25/3.35 % TRYING [3]
% 20.25/3.35 % (3304495)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=978175118:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 20.25/3.35 % TRYING [4]
% 20.25/3.35 % TRYING [5]
% 20.25/3.35 % (3304494)Instruction limit reached!
% 20.25/3.35 % (3304494)------------------------------
% 20.25/3.35 % (3304494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.35 % (3304494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.35 % (3304494)CaDiCaL version: 2.1.3
% 20.25/3.35 % (3304494)Termination reason: Instruction limit
% 20.25/3.35 % (3304494)Termination phase: Saturation
% 20.25/3.35 % (3304494)Time elapsed: 0.061 s
% 20.25/3.35 % (3304494)Peak memory usage: 12 MB
% 20.25/3.35 % (3304494)Instructions burned: 117 (million)
% 20.25/3.35 % TRYING [6]
% 20.25/3.35 % (3304504)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1452422975:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.25/3.35 % TRYING [1]
% 20.25/3.35 % TRYING [2]
% 20.25/3.35 % TRYING [3]
% 20.25/3.35 % TRYING [4]
% 20.25/3.35 % (3304493)Instruction limit reached!
% 20.25/3.35 % (3304493)------------------------------
% 20.25/3.35 % (3304493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.35 % (3304493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.35 % (3304493)CaDiCaL version: 2.1.3
% 20.25/3.35 % (3304493)Termination reason: Instruction limit
% 20.25/3.35 % (3304493)Termination phase: Saturation
% 20.25/3.35 % (3304493)Time elapsed: 0.097 s
% 20.25/3.35 % (3304493)Peak memory usage: 12 MB
% 20.25/3.35 % (3304493)Instructions burned: 103 (million)
% 20.25/3.35 % TRYING [5]
% 20.25/3.35 % (3304495)Instruction limit reached!
% 20.25/3.35 % (3304495)------------------------------
% 20.25/3.35 % (3304495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.35 % (3304495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.35 % (3304495)CaDiCaL version: 2.1.3
% 20.25/3.35 % (3304495)Termination reason: Instruction limit
% 20.25/3.35 % (3304495)Termination phase: Saturation
% 20.25/3.35 % (3304495)Time elapsed: 0.121 s
% 20.25/3.35 % (3304495)Peak memory usage: 12 MB
% 20.25/3.35 % (3304495)Instructions burned: 131 (million)
% 20.25/3.35 % (3304506)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1141490032:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.25/3.35 % TRYING [6]
% 20.25/3.35 % (3304508)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=2963527902:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.25/3.35 % (3304496)Instruction limit reached!
% 20.25/3.35 % (3304496)------------------------------
% 20.25/3.35 % (3304496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.35 % (3304496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.35 % (3304496)CaDiCaL version: 2.1.3
% 20.25/3.35 % (3304496)Termination reason: Instruction limit
% 20.25/3.35 % (3304496)Termination phase: Saturation
% 20.25/3.35 % (3304496)Time elapsed: 0.160 s
% 20.25/3.35 % (3304496)Peak memory usage: 12 MB
% 20.25/3.35 % (3304496)Instructions burned: 159 (million)
% 20.25/3.35 % (3304510)ott-21_1_sil=16000:fs=off:random_seed=1465401848:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.25/3.35 % (3304506)Instruction limit reached!
% 20.25/3.35 % (3304506)------------------------------
% 20.25/3.35 % (3304506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304506)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304506)Termination reason: Instruction limit
% 27.22/6.80 % (3304506)Termination phase: Saturation
% 27.22/6.80 % (3304506)Time elapsed: 0.140 s
% 27.22/6.80 % (3304506)Peak memory usage: 13 MB
% 27.22/6.80 % (3304506)Instructions burned: 131 (million)
% 27.22/6.80 % TRYING [7]
% 27.22/6.80 % (3304512)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2704802684:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 27.22/6.80 % (3304510)Instruction limit reached!
% 27.22/6.80 % (3304510)------------------------------
% 27.22/6.80 % (3304510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304510)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304510)Termination reason: Instruction limit
% 27.22/6.80 % (3304510)Termination phase: Saturation
% 27.22/6.80 % (3304510)Time elapsed: 0.161 s
% 27.22/6.80 % (3304510)Peak memory usage: 12 MB
% 27.22/6.80 % (3304510)Instructions burned: 181 (million)
% 27.22/6.80 % (3304516)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2452395603:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 27.22/6.80 % TRYING [1]
% 27.22/6.80 % TRYING [2]
% 27.22/6.80 % TRYING [3]
% 27.22/6.80 % TRYING [7]
% 27.22/6.80 % TRYING [4]
% 27.22/6.80 % (3304504)Instruction limit reached!
% 27.22/6.80 % (3304504)------------------------------
% 27.22/6.80 % (3304504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304504)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304504)Termination reason: Instruction limit
% 27.22/6.80 % (3304504)Termination phase: Finite model building constraint generation
% 27.22/6.80 % (3304504)Time elapsed: 0.349 s
% 27.22/6.80 % (3304504)Peak memory usage: 19 MB
% 27.22/6.80 % (3304504)Instructions burned: 716 (million)
% 27.22/6.80 % TRYING [5]
% 27.22/6.80 % (3304518)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3643260989:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 27.22/6.80 % TRYING [6]
% 27.22/6.80 % TRYING [7]
% 27.22/6.80 % (3304512)Instruction limit reached!
% 27.22/6.80 % (3304512)------------------------------
% 27.22/6.80 % (3304512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304512)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304512)Termination reason: Instruction limit
% 27.22/6.80 % (3304512)Termination phase: Saturation
% 27.22/6.80 % (3304512)Time elapsed: 0.460 s
% 27.22/6.80 % (3304512)Peak memory usage: 15 MB
% 27.22/6.80 % (3304512)Instructions burned: 477 (million)
% 27.22/6.80 % (3304508)Instruction limit reached!
% 27.22/6.80 % (3304508)------------------------------
% 27.22/6.80 % (3304508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304508)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304508)Termination reason: Instruction limit
% 27.22/6.80 % (3304508)Termination phase: Saturation
% 27.22/6.80 % (3304508)Time elapsed: 0.628 s
% 27.22/6.80 % (3304508)Peak memory usage: 18 MB
% 27.22/6.80 % (3304508)Instructions burned: 685 (million)
% 27.22/6.80 % (3304520)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1756729608:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 27.22/6.80 % (3304521)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=1681519653:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 27.22/6.80 % TRYING [8]
% 27.22/6.80 % TRYING [14]
% 27.22/6.80 % (3304518)Instruction limit reached!
% 27.22/6.80 % (3304518)------------------------------
% 27.22/6.80 % (3304518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304518)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304518)Termination reason: Instruction limit
% 27.22/6.80 % (3304518)Termination phase: Saturation
% 27.22/6.80 % (3304518)Time elapsed: 0.595 s
% 27.22/6.80 % (3304518)Peak memory usage: 23 MB
% 27.22/6.80 % (3304518)Instructions burned: 1179 (million)
% 27.22/6.80 % (3304516)Instruction limit reached!
% 27.22/6.80 % (3304516)------------------------------
% 27.22/6.80 % (3304516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304516)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304516)Termination reason: Instruction limit
% 27.22/6.80 % (3304516)Termination phase: Finite model building SAT solving
% 27.22/6.80 % (3304516)Time elapsed: 0.649 s
% 27.22/6.80 % (3304516)Peak memory usage: 20 MB
% 27.22/6.80 % (3304516)Instructions burned: 866 (million)
% 27.22/6.80 % (3304524)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2301524786:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 27.22/6.80 % (3304525)fmb+10_1_sil=64000:random_seed=4287185808:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 27.22/6.80 % TRYING [1]
% 27.22/6.80 % TRYING [2]
% 27.22/6.80 % TRYING [3]
% 27.22/6.80 % TRYING [4]
% 27.22/6.80 % TRYING [5]
% 27.22/6.80 % TRYING [6]
% 27.22/6.80 % TRYING [7]
% 27.22/6.80 % (3304520)Instruction limit reached!
% 27.22/6.80 % (3304520)------------------------------
% 27.22/6.80 % (3304520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304520)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304520)Termination reason: Instruction limit
% 27.22/6.80 % (3304520)Termination phase: Finite model building constraint generation
% 27.22/6.80 % (3304520)Time elapsed: 0.617 s
% 27.22/6.80 % (3304520)Peak memory usage: 76 MB
% 27.22/6.80 % (3304520)Instructions burned: 890 (million)
% 27.22/6.80 % (3304528)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3112259560:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 27.22/6.80 % TRYING [20]
% 27.22/6.80 % (3304524)Instruction limit reached!
% 27.22/6.80 % (3304524)------------------------------
% 27.22/6.80 % (3304524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304524)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304524)Termination reason: Instruction limit
% 27.22/6.80 % (3304524)Termination phase: Saturation
% 27.22/6.80 % (3304524)Time elapsed: 0.440 s
% 27.22/6.80 % (3304524)Peak memory usage: 19 MB
% 27.22/6.80 % (3304524)Instructions burned: 880 (million)
% 27.22/6.80 % (3304530)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1323248549:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 27.22/6.80 % TRYING [8]
% 27.22/6.80 % (3304521)Instruction limit reached!
% 27.22/6.80 % (3304521)------------------------------
% 27.22/6.80 % (3304521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304521)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304521)Termination reason: Instruction limit
% 27.22/6.80 % (3304521)Termination phase: Saturation
% 27.22/6.80 % (3304521)Time elapsed: 0.703 s
% 27.22/6.80 % (3304521)Peak memory usage: 20 MB
% 27.22/6.80 % (3304521)Instructions burned: 692 (million)
% 27.22/6.80 % (3304532)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3058865663:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 27.22/6.80 % TRYING [8]
% 27.22/6.80 % (3304530)Instruction limit reached!
% 27.22/6.80 % (3304530)------------------------------
% 27.22/6.80 % (3304530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304530)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304530)Termination reason: Instruction limit
% 27.22/6.80 % (3304530)Termination phase: Finite model building SAT solving
% 27.22/6.80 % (3304530)Time elapsed: 0.461 s
% 27.22/6.80 % (3304530)Peak memory usage: 38 MB
% 27.22/6.80 % (3304530)Instructions burned: 921 (million)
% 27.22/6.80 % (3304534)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=25555955:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 27.22/6.80 % (3304534)Instruction limit reached!
% 27.22/6.80 % (3304534)------------------------------
% 27.22/6.80 % (3304534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304534)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304534)Termination reason: Instruction limit
% 27.22/6.80 % (3304534)Termination phase: Saturation
% 27.22/6.80 % (3304534)Time elapsed: 0.784 s
% 27.22/6.80 % (3304534)Peak memory usage: 27 MB
% 27.22/6.80 % (3304534)Instructions burned: 1474 (million)
% 27.22/6.80 % (3304536)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4211514833:i=6324_2971 on theBenchmark for (2971ds/6324Mi)
% 27.22/6.80 % TRYING [77]
% 27.22/6.80 % TRYING [9]
% 27.22/6.80 % TRYING [9]
% 27.22/6.80 % (3304536)Instruction limit reached!
% 27.22/6.80 % (3304536)------------------------------
% 27.22/6.80 % (3304536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304536)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304536)Termination reason: Instruction limit
% 27.22/6.80 % (3304536)Termination phase: Finite model building constraint generation
% 27.22/6.80 % (3304536)Time elapsed: 2.456 s
% 27.22/6.80 % (3304536)Peak memory usage: 437 MB
% 27.22/6.80 % (3304536)Instructions burned: 6326 (million)
% 27.22/6.80 % (3304540)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3242384383:fmbsr=2.30978:i=2174_2946 on theBenchmark for (2946ds/2174Mi)
% 27.22/6.80 % TRYING [16]
% 27.22/6.80 % (3304492) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3304485-3304492"...
% 27.22/6.80 % (3304492)...printing done.
% 27.22/6.80 % (3304540)Instruction limit reached!
% 27.22/6.80 % (3304540)------------------------------
% 27.22/6.80 % (3304540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304540)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304540)Termination reason: Instruction limit
% 27.22/6.80 % (3304540)Termination phase: Finite model building constraint generation
% 27.22/6.80 % (3304540)Time elapsed: 0.777 s
% 27.22/6.80 % (3304540)Peak memory usage: 131 MB
% 27.22/6.80 % (3304540)Instructions burned: 2175 (million)
% 27.22/6.80 % (3304492)Refutation found. Thanks to Tanya!
% 27.22/6.80 % SZS status Unsatisfiable for theBenchmark
% 27.22/6.80 % SZS output start Proof for theBenchmark
% See solution above
% 27.22/6.80 % (3304492)------------------------------
% 27.22/6.80 % (3304492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.22/6.80 % (3304492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/6.80 % (3304492)CaDiCaL version: 2.1.3
% 27.22/6.80 % (3304492)Termination reason: Refutation
% 27.22/6.80 % (3304492)Time elapsed: 6.156 s
% 27.22/6.80 % (3304492)Peak memory usage: 58 MB
% 27.22/6.80 % (3304492)Instructions burned: 7942 (million)
% 27.22/6.80 % (3304485)Success in time 6.334 s
% 27.22/6.80 % Vampire exiting
%------------------------------------------------------------------------------