%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL003-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:38:06 AM UTC 2026
% Result : Unsatisfiable 8.22s 1.85s
% Output : Refutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 46 unt; 9 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
fof(f4,axiom,
! [X0] : ifeq(apply(X0,fixed_pt),apply(fixed_pt,apply(X0,fixed_pt)),fixed_point(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f5,plain,
! [X0] : true = ifeq(apply(X0,fixed_pt),apply(fixed_pt,apply(X0,fixed_pt)),fixed_point(X0),true),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f7,plain,
true != fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b)),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF0 = apply(w,w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
apply(w,w) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = apply(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
apply(b,sF0) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF2 = apply(b,w),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
apply(b,w) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = apply(b,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
apply(b,sF2) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = apply(sF3,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
apply(sF3,b) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF5 = apply(sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
apply(sF1,sF4) = sF5,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF6 = apply(b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f21,plain,
apply(b,sF5) = sF6,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF7 = apply(sF6,b),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f23,plain,
apply(sF6,b) = sF7,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF8 = fixed_point(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f25,plain,
fixed_point(sF7) = sF8,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
true != sF8,
inference(definition_folding,[],[f7,f25,f23,f21,f19,f17,f15,f13,f11,f9]) ).
fof(f31,plain,
! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0),
inference(superposition,[],[f3,f3]) ).
fof(f32,plain,
! [X0] : apply(sF0,X0) = apply(apply(X0,X0),X0),
inference(forward_demodulation,[],[f31,f9]) ).
fof(f41,plain,
! [X0,X1] : apply(w,apply(X0,X1)) = apply(apply(sF2,X0),X1),
inference(superposition,[],[f2,f13]) ).
fof(f42,plain,
! [X0,X1] : apply(sF0,apply(X0,X1)) = apply(apply(sF1,X0),X1),
inference(superposition,[],[f2,f11]) ).
fof(f43,plain,
! [X0,X1] : apply(sF2,apply(X0,X1)) = apply(apply(sF3,X0),X1),
inference(superposition,[],[f2,f15]) ).
fof(f44,plain,
! [X0,X1] : apply(sF5,apply(X0,X1)) = apply(apply(sF6,X0),X1),
inference(superposition,[],[f2,f21]) ).
fof(f48,plain,
! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2),
inference(superposition,[],[f3,f2]) ).
fof(f61,plain,
true = ifeq(apply(sF7,fixed_pt),apply(fixed_pt,apply(sF7,fixed_pt)),sF8,true),
inference(superposition,[],[f5,f25]) ).
fof(f69,plain,
! [X0] : apply(sF0,apply(sF4,X0)) = apply(sF5,X0),
inference(superposition,[],[f42,f19]) ).
fof(f80,plain,
! [X0] : apply(sF4,X0) = apply(sF2,apply(b,X0)),
inference(superposition,[],[f43,f17]) ).
fof(f93,plain,
! [X0] : apply(sF5,apply(b,X0)) = apply(sF7,X0),
inference(superposition,[],[f44,f23]) ).
fof(f108,plain,
! [X0] : apply(sF7,X0) = apply(sF0,apply(sF4,apply(b,X0))),
inference(forward_demodulation,[],[f93,f69]) ).
fof(f122,plain,
! [X0,X1] : apply(w,apply(apply(b,X0),X1)) = apply(apply(sF4,X0),X1),
inference(superposition,[],[f41,f80]) ).
fof(f298,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2),
inference(superposition,[],[f2,f48]) ).
fof(f305,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(apply(sF4,apply(b,X0)),X1),X2),
inference(forward_demodulation,[],[f298,f122]) ).
fof(f9618,plain,
! [X0] : apply(sF0,apply(sF4,apply(b,X0))) = apply(X0,apply(sF0,apply(sF4,apply(b,X0)))),
inference(superposition,[],[f305,f32]) ).
fof(f9836,plain,
! [X0] : apply(sF7,X0) = apply(X0,apply(sF7,X0)),
inference(forward_demodulation,[],[f9618,f108]) ).
fof(f10410,plain,
true = ifeq(apply(sF7,fixed_pt),apply(sF7,fixed_pt),sF8,true),
inference(superposition,[],[f61,f9836]) ).
fof(f10441,plain,
true = sF8,
inference(forward_demodulation,[],[f10410,f1]) ).
fof(f10477,plain,
$false,
inference(forward_subsumption_resolution,[],[f10441,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL003-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.30 % Computer : n009.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon Sep 28 21:28:45 UTC 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.32/0.36 Running first-order model finding
% 0.32/0.36 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
% 8.22/1.84 % (3502321)Will run a generic schedule for satisfiability detection.
% 8.22/1.84 % (3502326)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1142180937_2999 on theBenchmark for (2999ds/0Mi)
% 8.22/1.84 % TRYING [1]
% 8.22/1.84 % TRYING [2]
% 8.22/1.84 % TRYING [3]
% 8.22/1.84 % (3502327)% WARNING: option uhcvi not known.
% 8.22/1.84 % TRYING [4]
% 8.22/1.84 % (3502327)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2375998657:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.22/1.84 % (3502328)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2337055664:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.22/1.84 % (3502329)dis+10_1_sil=32000:sp=arity:random_seed=178134393:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.22/1.84 % (3502330)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=835287293:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.22/1.84 % (3502332)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2995810494:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.22/1.84 % (3502331)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3501824532:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.22/1.84 % TRYING [5]
% 8.22/1.84 % (3502329)Instruction limit reached!
% 8.22/1.84 % (3502329)------------------------------
% 8.22/1.84 % (3502329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.84 % (3502329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.84 % (3502329)CaDiCaL version: 2.1.3
% 8.22/1.84 % (3502329)Termination reason: Instruction limit
% 8.22/1.84 % (3502329)Termination phase: Saturation
% 8.22/1.84 % (3502329)Time elapsed: 0.095 s
% 8.22/1.84 % (3502329)Peak memory usage: 11 MB
% 8.22/1.84 % (3502329)Instructions burned: 104 (million)
% 8.22/1.84 % (3502330)Instruction limit reached!
% 8.22/1.84 % (3502330)------------------------------
% 8.22/1.84 % (3502330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.84 % (3502330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.84 % (3502330)CaDiCaL version: 2.1.3
% 8.22/1.84 % (3502330)Termination reason: Instruction limit
% 8.22/1.84 % (3502330)Termination phase: Saturation
% 8.22/1.84 % (3502330)Time elapsed: 0.115 s
% 8.22/1.84 % (3502330)Peak memory usage: 12 MB
% 8.22/1.84 % (3502330)Instructions burned: 116 (million)
% 8.22/1.84 % (3502331)Instruction limit reached!
% 8.22/1.84 % (3502331)------------------------------
% 8.22/1.84 % (3502331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.84 % (3502331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.84 % (3502331)CaDiCaL version: 2.1.3
% 8.22/1.84 % (3502331)Termination reason: Instruction limit
% 8.22/1.84 % (3502331)Termination phase: Saturation
% 8.22/1.84 % (3502331)Time elapsed: 0.136 s
% 8.22/1.84 % (3502331)Peak memory usage: 13 MB
% 8.22/1.84 % (3502331)Instructions burned: 132 (million)
% 8.22/1.84 % (3502340)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3840342479:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.22/1.84 % TRYING [1]
% 8.22/1.84 % TRYING [2]
% 8.22/1.84 % TRYING [3]
% 8.22/1.84 % (3502332)Instruction limit reached!
% 8.22/1.84 % (3502332)------------------------------
% 8.22/1.84 % (3502332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.84 % (3502332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.84 % (3502332)CaDiCaL version: 2.1.3
% 8.22/1.84 % (3502332)Termination reason: Instruction limit
% 8.22/1.84 % (3502332)Termination phase: Saturation
% 8.22/1.84 % (3502332)Time elapsed: 0.153 s
% 8.22/1.84 % (3502332)Peak memory usage: 12 MB
% 8.22/1.84 % (3502332)Instructions burned: 159 (million)
% 8.22/1.84 % (3502341)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3614831435:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.22/1.84 % TRYING [4]
% 8.22/1.84 % (3502342)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=503815585:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.22/1.84 % (3502344)ott-21_1_sil=16000:fs=off:random_seed=381296120:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.22/1.84 % TRYING [5]
% 8.22/1.84 % (3502341)Instruction limit reached!
% 8.22/1.84 % (3502341)------------------------------
% 8.22/1.84 % (3502341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502341)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502341)Termination reason: Instruction limit
% 8.22/1.85 % (3502341)Termination phase: Saturation
% 8.22/1.85 % (3502341)Time elapsed: 0.140 s
% 8.22/1.85 % (3502341)Peak memory usage: 13 MB
% 8.22/1.85 % (3502341)Instructions burned: 132 (million)
% 8.22/1.85 % (3502348)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2500178425:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 8.22/1.85 % (3502344)Instruction limit reached!
% 8.22/1.85 % (3502344)------------------------------
% 8.22/1.85 % (3502344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502344)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502344)Termination reason: Instruction limit
% 8.22/1.85 % (3502344)Termination phase: Saturation
% 8.22/1.85 % (3502344)Time elapsed: 0.163 s
% 8.22/1.85 % (3502344)Peak memory usage: 12 MB
% 8.22/1.85 % (3502344)Instructions burned: 181 (million)
% 8.22/1.85 % (3502350)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=29482809:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 8.22/1.85 % TRYING [1]
% 8.22/1.85 % TRYING [2]
% 8.22/1.85 % TRYING [3]
% 8.22/1.85 % TRYING [4]
% 8.22/1.85 % TRYING [6]
% 8.22/1.85 % TRYING [5]
% 8.22/1.85 % TRYING [6]
% 8.22/1.85 % (3502340)Instruction limit reached!
% 8.22/1.85 % (3502340)------------------------------
% 8.22/1.85 % (3502340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502340)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502340)Termination reason: Instruction limit
% 8.22/1.85 % (3502340)Termination phase: Finite model building SAT solving
% 8.22/1.85 % (3502340)Time elapsed: 0.629 s
% 8.22/1.85 % (3502340)Peak memory usage: 18 MB
% 8.22/1.85 % (3502340)Instructions burned: 715 (million)
% 8.22/1.85 % (3502348)Instruction limit reached!
% 8.22/1.85 % (3502348)------------------------------
% 8.22/1.85 % (3502348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502348)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502348)Termination reason: Instruction limit
% 8.22/1.85 % (3502348)Termination phase: Saturation
% 8.22/1.85 % (3502348)Time elapsed: 0.436 s
% 8.22/1.85 % (3502348)Peak memory usage: 15 MB
% 8.22/1.85 % (3502348)Instructions burned: 477 (million)
% 8.22/1.85 % (3502342)Instruction limit reached!
% 8.22/1.85 % (3502342)------------------------------
% 8.22/1.85 % (3502342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502342)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502342)Termination reason: Instruction limit
% 8.22/1.85 % (3502342)Termination phase: Saturation
% 8.22/1.85 % (3502342)Time elapsed: 0.611 s
% 8.22/1.85 % (3502342)Peak memory usage: 16 MB
% 8.22/1.85 % (3502342)Instructions burned: 684 (million)
% 8.22/1.85 % (3502352)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3869579403:i=1179_2991 on theBenchmark for (2991ds/1179Mi)
% 8.22/1.85 % (3502353)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1271887750:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 8.22/1.85 % (3502354)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=1428439168: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)
% 8.22/1.85 % (3502350)Instruction limit reached!
% 8.22/1.85 % (3502350)------------------------------
% 8.22/1.85 % (3502350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502350)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502350)Termination reason: Instruction limit
% 8.22/1.85 % (3502350)Termination phase: Finite model building SAT solving
% 8.22/1.85 % (3502350)Time elapsed: 0.670 s
% 8.22/1.85 % (3502350)Peak memory usage: 18 MB
% 8.22/1.85 % (3502350)Instructions burned: 866 (million)
% 8.22/1.85 % (3502358)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=510792429:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 8.22/1.85 % TRYING [14]
% 8.22/1.85 % (3502352) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3502321-3502352"...
% 8.22/1.85 % (3502352)...printing done.
% 8.22/1.85 % (3502352)Refutation found. Thanks to Tanya!
% 8.22/1.85 % SZS status Unsatisfiable for theBenchmark
% 8.22/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 8.22/1.85 % (3502352)------------------------------
% 8.22/1.85 % (3502352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.85 % (3502352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.85 % (3502352)CaDiCaL version: 2.1.3
% 8.22/1.85 % (3502352)Termination reason: Refutation
% 8.22/1.85 % (3502352)Time elapsed: 0.592 s
% 8.22/1.85 % (3502352)Peak memory usage: 18 MB
% 8.22/1.85 % (3502352)Instructions burned: 599 (million)
% 8.22/1.85 % (3502321)Success in time 1.469 s
% 8.22/1.85 % Vampire exiting
%------------------------------------------------------------------------------