%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL006-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:38:09 AM UTC 2026
% Result : Unsatisfiable 56.54s 8.24s
% Output : Refutation 56.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 72 ( 69 unt; 15 def)
% Number of atoms : 75 ( 65 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f3,axiom,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,definition,
sF0 = apply(s,k),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
apply(s,k) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = apply(sF0,k),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(sF0,k) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = apply(s,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
apply(s,sF1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = apply(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
apply(sF2,sF1) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = apply(k,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
apply(k,sF3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = apply(s,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
apply(s,sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = apply(s,s),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(s,s) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = apply(sF6,sF0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
apply(sF6,sF0) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF8 = apply(k,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f22,plain,
apply(k,sF7) = sF8,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF9 = apply(s,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f24,plain,
apply(s,sF8) = sF9,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF10 = apply(k,s),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f26,plain,
apply(k,s) = sF10,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF11 = apply(s,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f28,plain,
apply(s,sF10) = sF11,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF12 = apply(sF11,k),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f30,plain,
apply(sF11,k) = sF12,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF13 = apply(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f32,plain,
apply(sF9,sF12) = sF13,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF14 = apply(sF5,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f34,plain,
apply(sF5,sF13) = sF14,
inference(reorient_equations,[],[f33]) ).
fof(f35,plain,
~ fixed_point(sF14),
inference(definition_folding,[],[f4,f34,f32,f30,f28,f26,f24,f22,f20,f6,f18,f16,f14,f12,f8,f6,f10,f8,f6]) ).
fof(f36,plain,
! [X0] : s = apply(sF10,X0),
inference(superposition,[],[f2,f26]) ).
fof(f37,plain,
! [X0] : sF3 = apply(sF4,X0),
inference(superposition,[],[f2,f14]) ).
fof(f38,plain,
! [X0] : sF7 = apply(sF8,X0),
inference(superposition,[],[f2,f22]) ).
fof(f43,plain,
! [X0,X1] : apply(apply(sF1,X1),apply(X0,X1)) = apply(apply(sF2,X0),X1),
inference(superposition,[],[f1,f10]) ).
fof(f44,plain,
! [X0,X1] : apply(apply(sF4,X1),apply(X0,X1)) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f1,f16]) ).
fof(f45,plain,
! [X0,X1] : apply(apply(sF8,X1),apply(X0,X1)) = apply(apply(sF9,X0),X1),
inference(superposition,[],[f1,f24]) ).
fof(f47,plain,
! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(apply(s,s),X0),X1),X2),
inference(superposition,[],[f1,f1]) ).
fof(f48,plain,
! [X0,X1] : apply(apply(apply(s,sF10),X0),X1) = apply(s,apply(X0,X1)),
inference(superposition,[],[f1,f36]) ).
fof(f49,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(s,apply(k,X0)),X1),X2),
inference(superposition,[],[f1,f2]) ).
fof(f59,plain,
! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
inference(superposition,[],[f2,f1]) ).
fof(f60,plain,
! [X0,X1] : apply(apply(sF0,X0),X1) = X1,
inference(forward_demodulation,[],[f59,f6]) ).
fof(f62,plain,
! [X0,X1] : apply(apply(sF11,X0),X1) = apply(s,apply(X0,X1)),
inference(forward_demodulation,[],[f48,f28]) ).
fof(f63,plain,
! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(sF6,X0),X1),X2),
inference(forward_demodulation,[],[f47,f18]) ).
fof(f65,plain,
! [X0,X1] : apply(apply(sF9,X0),X1) = apply(sF7,apply(X0,X1)),
inference(forward_demodulation,[],[f45,f38]) ).
fof(f66,plain,
! [X0,X1] : apply(apply(sF5,X0),X1) = apply(sF3,apply(X0,X1)),
inference(forward_demodulation,[],[f44,f37]) ).
fof(f76,plain,
! [X0] : apply(sF1,X0) = X0,
inference(superposition,[],[f60,f8]) ).
fof(f87,plain,
! [X0] : apply(sF7,apply(sF12,X0)) = apply(sF13,X0),
inference(superposition,[],[f65,f32]) ).
fof(f93,plain,
! [X0] : apply(sF3,apply(sF13,X0)) = apply(sF14,X0),
inference(superposition,[],[f66,f34]) ).
fof(f150,plain,
! [X0] : apply(apply(sF2,sF1),X0) = apply(X0,X0),
inference(superposition,[],[f43,f76]) ).
fof(f213,plain,
! [X0] : apply(X0,X0) = apply(sF3,X0),
inference(forward_demodulation,[],[f150,f12]) ).
fof(f300,plain,
! [X0,X1] :
( apply(X0,apply(X1,fixed_pt)) != apply(fixed_pt,apply(X0,apply(X1,fixed_pt)))
| fixed_point(apply(apply(s,apply(k,X0)),X1)) ),
inference(superposition,[],[f3,f49]) ).
fof(f428,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(sF6,sF0),X1),X0),
inference(superposition,[],[f63,f60]) ).
fof(f479,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(sF7,X1),X0),
inference(forward_demodulation,[],[f428,f20]) ).
fof(f1860,plain,
! [X0] : apply(s,apply(k,X0)) = apply(sF12,X0),
inference(superposition,[],[f62,f30]) ).
fof(f1899,plain,
apply(s,sF4) = apply(sF12,sF3),
inference(superposition,[],[f1860,f14]) ).
fof(f1945,plain,
sF5 = apply(sF12,sF3),
inference(forward_demodulation,[],[f1899,f16]) ).
fof(f3124,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF7,apply(s,apply(k,X0))),X1),
inference(superposition,[],[f49,f479]) ).
fof(f3164,plain,
! [X0,X1] : apply(apply(sF7,apply(sF12,X0)),X1) = apply(X0,apply(X1,X1)),
inference(forward_demodulation,[],[f3124,f1860]) ).
fof(f3229,plain,
! [X0,X1] : apply(apply(sF13,X0),X1) = apply(X0,apply(X1,X1)),
inference(forward_demodulation,[],[f3164,f87]) ).
fof(f31273,plain,
! [X0] : apply(sF3,apply(sF13,X0)) = apply(X0,apply(sF3,apply(sF13,X0))),
inference(superposition,[],[f3229,f213]) ).
fof(f32023,plain,
! [X0] : apply(sF14,X0) = apply(X0,apply(sF14,X0)),
inference(forward_demodulation,[],[f31273,f93]) ).
fof(f47800,plain,
( apply(sF14,fixed_pt) != apply(fixed_pt,apply(sF14,fixed_pt))
| fixed_point(apply(apply(s,apply(k,sF3)),sF13)) ),
inference(superposition,[],[f300,f93]) ).
fof(f47943,plain,
fixed_point(apply(apply(s,apply(k,sF3)),sF13)),
inference(forward_subsumption_resolution,[],[f47800,f32023]) ).
fof(f48084,plain,
fixed_point(apply(apply(sF12,sF3),sF13)),
inference(forward_demodulation,[],[f47943,f1860]) ).
fof(f48119,plain,
fixed_point(apply(sF5,sF13)),
inference(forward_demodulation,[],[f48084,f1945]) ).
fof(f48133,plain,
fixed_point(sF14),
inference(forward_demodulation,[],[f48119,f34]) ).
fof(f48135,plain,
$false,
inference(forward_subsumption_resolution,[],[f48133,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.19 % Computer : n004.cluster.edu
% 0.14/0.19 % Model : x86_64 x86_64
% 0.14/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.19 % Memory : 8046.5625MB
% 0.14/0.19 % OS : Linux 6.8.0-71-generic
% 0.14/0.19 % CPULimit : 300
% 0.14/0.19 % WCLimit : 300
% 0.14/0.19 % DateTime : Mon Sep 28 21:29:22 UTC 2026
% 0.14/0.20 % CPUTime :
% 0.14/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.23 Running first-order model finding
% 0.14/0.23 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
% 23.45/3.70 % (805360)Will run a generic schedule for satisfiability detection.
% 23.45/3.70 % (805371)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3623212429:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 23.45/3.70 % (805366)% WARNING: option uhcvi not known.
% 23.45/3.70 % (805365)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=11226531_2999 on theBenchmark for (2999ds/0Mi)
% 23.45/3.70 % (805368)dis+10_1_sil=32000:sp=arity:random_seed=1973523983:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 23.45/3.70 % (805367)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=318114943:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 23.45/3.70 % (805369)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1753819082:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 23.45/3.70 % (805366)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=259463797:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 23.45/3.70 % (805370)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3104077375:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 23.45/3.70 % TRYING [1]
% 23.45/3.70 % TRYING [2]
% 23.45/3.70 % TRYING [3]
% 23.45/3.70 % TRYING [4]
% 23.45/3.70 % TRYING [5]
% 23.45/3.70 % TRYING [6]
% 23.45/3.70 % (805371)Instruction limit reached!
% 23.45/3.70 % (805371)------------------------------
% 23.45/3.70 % (805371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.70 % (805371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.70 % (805371)CaDiCaL version: 2.1.3
% 23.45/3.70 % (805371)Termination reason: Instruction limit
% 23.45/3.70 % (805371)Termination phase: Saturation
% 23.45/3.70 % (805371)Time elapsed: 0.053 s
% 23.45/3.70 % (805371)Peak memory usage: 13 MB
% 23.45/3.70 % (805371)Instructions burned: 161 (million)
% 23.45/3.70 % (805379)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4060534593:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 23.45/3.70 % TRYING [1]
% 23.45/3.70 % TRYING [2]
% 23.45/3.70 % (805368)Instruction limit reached!
% 23.45/3.70 % (805368)------------------------------
% 23.45/3.70 % (805368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.70 % TRYING [3]
% 23.45/3.70 % (805368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.70 % (805368)CaDiCaL version: 2.1.3
% 23.45/3.70 % (805368)Termination reason: Instruction limit
% 23.45/3.70 % (805368)Termination phase: Saturation
% 23.45/3.70 % (805368)Time elapsed: 0.059 s
% 23.45/3.70 % (805368)Peak memory usage: 12 MB
% 23.45/3.70 % (805368)Instructions burned: 104 (million)
% 23.45/3.70 % TRYING [4]
% 23.45/3.70 % TRYING [5]
% 23.45/3.70 % TRYING [6]
% 23.45/3.70 % (805369)Instruction limit reached!
% 23.45/3.70 % (805369)------------------------------
% 23.45/3.70 % (805369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.70 % (805369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.70 % (805369)CaDiCaL version: 2.1.3
% 23.45/3.70 % (805369)Termination reason: Instruction limit
% 23.45/3.70 % (805369)Termination phase: Saturation
% 23.45/3.70 % (805369)Time elapsed: 0.074 s
% 23.45/3.70 % (805369)Peak memory usage: 12 MB
% 23.45/3.70 % (805369)Instructions burned: 117 (million)
% 23.45/3.70 % (805381)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3604016877:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 23.45/3.70 % (805370)Instruction limit reached!
% 23.45/3.70 % (805370)------------------------------
% 23.45/3.70 % (805370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.70 % (805370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.70 % (805370)CaDiCaL version: 2.1.3
% 23.45/3.70 % (805370)Termination reason: Instruction limit
% 23.45/3.70 % (805370)Termination phase: Saturation
% 23.45/3.70 % (805370)Time elapsed: 0.081 s
% 23.45/3.70 % (805370)Peak memory usage: 13 MB
% 23.45/3.70 % (805370)Instructions burned: 132 (million)
% 23.45/3.70 % TRYING [7]
% 23.45/3.70 % (805382)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=2440263970:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 23.45/3.70 % (805384)ott-21_1_sil=16000:fs=off:random_seed=2181260793:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 23.45/3.70 % TRYING [7]
% 23.45/3.70 % (805381)Instruction limit reached!
% 23.45/3.70 % (805381)------------------------------
% 23.45/3.70 % (805381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.70/7.83 % (805381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.70/7.83 % (805381)CaDiCaL version: 2.1.3
% 53.70/7.83 % (805381)Termination reason: Instruction limit
% 53.70/7.83 % (805381)Termination phase: Saturation
% 53.70/7.83 % (805381)Time elapsed: 0.082 s
% 53.70/7.83 % (805381)Peak memory usage: 13 MB
% 53.70/7.83 % (805381)Instructions burned: 131 (million)
% 53.70/7.83 % (805387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=513177196:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 53.70/7.83 % (805384)Instruction limit reached!
% 53.70/7.83 % (805384)------------------------------
% 53.70/7.83 % (805384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.70/7.83 % (805384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.70/7.83 % (805384)CaDiCaL version: 2.1.3
% 53.70/7.83 % (805384)Termination reason: Instruction limit
% 53.70/7.83 % (805384)Termination phase: Saturation
% 53.70/7.83 % (805384)Time elapsed: 0.091 s
% 53.70/7.83 % (805384)Peak memory usage: 12 MB
% 53.70/7.83 % (805384)Instructions burned: 182 (million)
% 53.70/7.83 % (805389)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3145149851:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 53.70/7.83 % TRYING [1]
% 53.70/7.83 % TRYING [2]
% 53.70/7.83 % TRYING [3]
% 53.70/7.83 % TRYING [8]
% 53.70/7.83 % TRYING [4]
% 53.70/7.83 % TRYING [5]
% 53.70/7.83 % (805379)Instruction limit reached!
% 53.70/7.83 % (805379)------------------------------
% 53.70/7.83 % (805379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.70/7.83 % (805379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.70/7.83 % (805379)CaDiCaL version: 2.1.3
% 53.70/7.83 % (805379)Termination reason: Instruction limit
% 53.70/7.83 % (805379)Termination phase: Finite model building constraint generation
% 53.70/7.83 % (805379)Time elapsed: 0.177 s
% 53.70/7.83 % (805379)Peak memory usage: 23 MB
% 53.70/7.83 % (805379)Instructions burned: 714 (million)
% 53.70/7.83 % (805391)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1727754240:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 53.70/7.83 % TRYING [8]
% 53.70/7.83 % TRYING [6]
% 53.70/7.83 % TRYING [7]
% 53.70/7.83 % (805387)Instruction limit reached!
% 53.70/7.83 % (805387)------------------------------
% 53.70/7.83 % (805387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.70/7.83 % (805387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.70/7.83 % (805387)CaDiCaL version: 2.1.3
% 53.70/7.83 % (805387)Termination reason: Instruction limit
% 53.70/7.83 % (805387)Termination phase: Saturation
% 53.70/7.83 % (805387)Time elapsed: 0.254 s
% 53.70/7.83 % (805387)Peak memory usage: 15 MB
% 53.70/7.83 % (805387)Instructions burned: 479 (million)
% 53.70/7.83 % (805382)Instruction limit reached!
% 53.70/7.83 % (805382)------------------------------
% 53.70/7.83 % (805382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.70/7.83 % (805382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.70/7.83 % (805382)CaDiCaL version: 2.1.3
% 53.70/7.83 % (805382)Termination reason: Instruction limit
% 53.70/7.83 % (805382)Termination phase: Saturation
% 53.70/7.83 % (805382)Time elapsed: 0.360 s
% 53.70/7.83 % (805382)Peak memory usage: 18 MB
% 53.70/7.83 % (805382)Instructions burned: 685 (million)
% 53.70/7.83 % (805433)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=972994225:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 53.70/7.83 % (805443)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=3809173905: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)
% 53.70/7.83 % TRYING [14]
% 53.70/7.83 % TRYING [8]
% 53.70/7.83 % (805389)Instruction limit reached!
% 53.70/7.83 % (805389)------------------------------
% 53.70/7.83 % (805389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.70/7.83 % (805389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.70/7.83 % (805389)CaDiCaL version: 2.1.3
% 53.70/7.83 % (805389)Termination reason: Instruction limit
% 53.70/7.83 % (805389)Termination phase: Finite model building constraint generation
% 53.70/7.83 % (805389)Time elapsed: 0.320 s
% 53.70/7.83 % (805389)Peak memory usage: 19 MB
% 53.70/7.83 % (805389)Instructions burned: 871 (million)
% 53.70/7.83 % (805471)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1959224378:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 53.70/7.83 % (805391)Instruction limit reached!
% 56.54/8.24 % (805391)------------------------------
% 56.54/8.24 % (805391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805391)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805391)Termination reason: Instruction limit
% 56.54/8.24 % (805391)Termination phase: Saturation
% 56.54/8.24 % (805391)Time elapsed: 0.416 s
% 56.54/8.24 % (805391)Peak memory usage: 22 MB
% 56.54/8.24 % (805391)Instructions burned: 1179 (million)
% 56.54/8.24 % (805504)fmb+10_1_sil=64000:random_seed=3630967097:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 56.54/8.24 % TRYING [1]
% 56.54/8.24 % TRYING [2]
% 56.54/8.24 % TRYING [3]
% 56.54/8.24 % TRYING [4]
% 56.54/8.24 % TRYING [5]
% 56.54/8.24 % TRYING [6]
% 56.54/8.24 % TRYING [7]
% 56.54/8.24 % (805433)Instruction limit reached!
% 56.54/8.24 % (805433)------------------------------
% 56.54/8.24 % (805433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805433)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805433)Termination reason: Instruction limit
% 56.54/8.24 % (805433)Termination phase: Finite model building constraint generation
% 56.54/8.24 % (805433)Time elapsed: 0.324 s
% 56.54/8.24 % (805433)Peak memory usage: 75 MB
% 56.54/8.24 % (805433)Instructions burned: 891 (million)
% 56.54/8.24 % (805531)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2489455726:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 56.54/8.24 % TRYING [20]
% 56.54/8.24 % TRYING [8]
% 56.54/8.24 % (805443)Instruction limit reached!
% 56.54/8.24 % (805443)------------------------------
% 56.54/8.24 % (805443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805443)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805443)Termination reason: Instruction limit
% 56.54/8.24 % (805443)Termination phase: Saturation
% 56.54/8.24 % (805443)Time elapsed: 0.457 s
% 56.54/8.24 % (805443)Peak memory usage: 17 MB
% 56.54/8.24 % (805443)Instructions burned: 694 (million)
% 56.54/8.24 % (805533)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3030703405:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 56.54/8.24 % TRYING [8]
% 56.54/8.24 % TRYING [9]
% 56.54/8.24 % TRYING [9]
% 56.54/8.24 % (805471)Instruction limit reached!
% 56.54/8.24 % (805471)------------------------------
% 56.54/8.24 % (805471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805471)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805471)Termination reason: Instruction limit
% 56.54/8.24 % (805471)Termination phase: Saturation
% 56.54/8.24 % (805471)Time elapsed: 0.617 s
% 56.54/8.24 % (805471)Peak memory usage: 18 MB
% 56.54/8.24 % (805471)Instructions burned: 880 (million)
% 56.54/8.24 % (805535)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=509783261:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 56.54/8.24 % (805533)Instruction limit reached!
% 56.54/8.24 % (805533)------------------------------
% 56.54/8.24 % (805533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805533)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805533)Termination reason: Instruction limit
% 56.54/8.24 % (805533)Termination phase: Finite model building SAT solving
% 56.54/8.24 % (805533)Time elapsed: 0.529 s
% 56.54/8.24 % (805533)Peak memory usage: 32 MB
% 56.54/8.24 % (805533)Instructions burned: 921 (million)
% 56.54/8.24 % TRYING [10]
% 56.54/8.24 % (805545)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4231081709:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 56.54/8.24 % (805545)Instruction limit reached!
% 56.54/8.24 % (805545)------------------------------
% 56.54/8.24 % (805545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805545)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805545)Termination reason: Instruction limit
% 56.54/8.24 % (805545)Termination phase: Saturation
% 56.54/8.24 % (805545)Time elapsed: 1.317 s
% 56.54/8.24 % (805545)Peak memory usage: 22 MB
% 56.54/8.24 % (805545)Instructions burned: 1472 (million)
% 56.54/8.24 % (805576)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3461391147:i=6324_2971 on theBenchmark for (2971ds/6324Mi)
% 56.54/8.24 % TRYING [77]
% 56.54/8.24 % TRYING [11]
% 56.54/8.24 % TRYING [10]
% 56.54/8.24 % (805535)Instruction limit reached!
% 56.54/8.24 % (805535)------------------------------
% 56.54/8.24 % (805535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805535)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805535)Termination reason: Instruction limit
% 56.54/8.24 % (805535)Termination phase: Saturation
% 56.54/8.24 % (805535)Time elapsed: 3.395 s
% 56.54/8.24 % (805535)Peak memory usage: 53 MB
% 56.54/8.24 % (805535)Instructions burned: 5132 (million)
% 56.54/8.24 % (805736)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2007611024:fmbsr=2.30978:i=2174_2953 on theBenchmark for (2953ds/2174Mi)
% 56.54/8.24 % TRYING [16]
% 56.54/8.24 % (805531)Instruction limit reached!
% 56.54/8.24 % (805531)------------------------------
% 56.54/8.24 % (805531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805531)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805531)Termination reason: Instruction limit
% 56.54/8.24 % (805531)Termination phase: Finite model building constraint generation
% 56.54/8.24 % (805531)Time elapsed: 4.524 s
% 56.54/8.24 % (805531)Peak memory usage: 708 MB
% 56.54/8.24 % (805531)Instructions burned: 9516 (million)
% 56.54/8.24 % (805736)Instruction limit reached!
% 56.54/8.24 % (805736)------------------------------
% 56.54/8.24 % (805736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805736)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805736)Termination reason: Instruction limit
% 56.54/8.24 % (805736)Termination phase: Finite model building constraint generation
% 56.54/8.24 % (805736)Time elapsed: 0.731 s
% 56.54/8.24 % (805736)Peak memory usage: 133 MB
% 56.54/8.24 % (805736)Instructions burned: 2175 (million)
% 56.54/8.24 % (805738)ott-2_1_sil=16000:newcnf=on:random_seed=87541921:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2945 on theBenchmark for (2945ds/869Mi)
% 56.54/8.24 % (805740)ott+10_1_sil=32000:tgt=ground:random_seed=3497126427:i=5114:av=off_2945 on theBenchmark for (2945ds/5114Mi)
% 56.54/8.24 % (805576)Instruction limit reached!
% 56.54/8.24 % (805576)------------------------------
% 56.54/8.24 % (805576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805576)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805576)Termination reason: Instruction limit
% 56.54/8.24 % (805576)Termination phase: Finite model building constraint generation
% 56.54/8.24 % (805576)Time elapsed: 2.563 s
% 56.54/8.24 % (805576)Peak memory usage: 521 MB
% 56.54/8.24 % (805576)Instructions burned: 6326 (million)
% 56.54/8.24 % (805742)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1663204739:i=54282_2944 on theBenchmark for (2944ds/54282Mi)
% 56.54/8.24 % TRYING [1]
% 56.54/8.24 % TRYING [2]
% 56.54/8.24 % TRYING [3]
% 56.54/8.24 % TRYING [4]
% 56.54/8.24 % TRYING [5]
% 56.54/8.24 % TRYING [6]
% 56.54/8.24 % TRYING [7]
% 56.54/8.24 % TRYING [8]
% 56.54/8.24 % (805738)Instruction limit reached!
% 56.54/8.24 % (805738)------------------------------
% 56.54/8.24 % (805738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805738)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805738)Termination reason: Instruction limit
% 56.54/8.24 % (805738)Termination phase: Saturation
% 56.54/8.24 % (805738)Time elapsed: 0.591 s
% 56.54/8.24 % (805738)Peak memory usage: 21 MB
% 56.54/8.24 % (805738)Instructions burned: 870 (million)
% 56.54/8.24 % (805744)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3445643278:i=3512:aac=none_2939 on theBenchmark for (2939ds/3512Mi)
% 56.54/8.24 % TRYING [12]
% 56.54/8.24 % TRYING [9]
% 56.54/8.24 % (805504)Instruction limit reached!
% 56.54/8.24 % (805504)------------------------------
% 56.54/8.24 % (805504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805504)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805504)Termination reason: Instruction limit
% 56.54/8.24 % (805504)Termination phase: Finite model building SAT solving
% 56.54/8.24 % (805504)Time elapsed: 6.864 s
% 56.54/8.24 % (805504)Peak memory usage: 141 MB
% 56.54/8.24 % (805504)Instructions burned: 22061 (million)
% 56.54/8.24 % (805746)dis+21_1_sil=32000:sas=cadical:random_seed=423684235:i=3773:amm=off_2924 on theBenchmark for (2924ds/3773Mi)
% 56.54/8.24 % (805744)Instruction limit reached!
% 56.54/8.24 % (805744)------------------------------
% 56.54/8.24 % (805744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805744)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805744)Termination reason: Instruction limit
% 56.54/8.24 % (805744)Termination phase: Saturation
% 56.54/8.24 % (805744)Time elapsed: 1.912 s
% 56.54/8.24 % (805744)Peak memory usage: 37 MB
% 56.54/8.24 % (805744)Instructions burned: 3513 (million)
% 56.54/8.24 % (805740) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-805360-805740"...
% 56.54/8.24 % (805740)...printing done.
% 56.54/8.24 % (805748)ott+11_1_sil=16000:gs=on:random_seed=3924866100:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 56.54/8.24 % (805740)Refutation found. Thanks to Tanya!
% 56.54/8.24 % SZS status Unsatisfiable for theBenchmark
% 56.54/8.24 % SZS output start Proof for theBenchmark
% See solution above
% 56.54/8.24 % (805740)------------------------------
% 56.54/8.24 % (805740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.54/8.24 % (805740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.54/8.24 % (805740)CaDiCaL version: 2.1.3
% 56.54/8.24 % (805740)Termination reason: Refutation
% 56.54/8.24 % (805740)Time elapsed: 2.492 s
% 56.54/8.24 % (805740)Peak memory usage: 53 MB
% 56.54/8.24 % (805740)Instructions burned: 3704 (million)
% 56.54/8.24 % (805360)Success in time 8.004 s
% 56.54/8.24 % Vampire exiting
%------------------------------------------------------------------------------