%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL002-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:38:05 AM UTC 2026
% Result : Unsatisfiable 7.34s 1.34s
% Output : Refutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 57 unt; 5 def)
% Number of atoms : 63 ( 56 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 102 ( 102 !; 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/sandbox2/benchmark/theBenchmark.p',s_definition) ).
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,
! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_definition) ).
fof(f4,axiom,
! [X0] : apply(i,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).
fof(f5,axiom,
! [X0] :
( X0 != apply(fixed_pt,X0)
| fixed_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weak_fixed_point) ).
fof(f6,plain,
! [X0] :
( apply(fixed_pt,X0) != X0
| fixed_point(X0) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
! [X0] : ~ fixed_point(apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
fof(f8,definition,
! [X0] : sF0(X0) = apply(b,X0),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
! [X0] : apply(b,X0) = sF0(X0),
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
! [X0] : sF1(X0) = apply(c,sF0(X0)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
! [X0] : apply(c,sF0(X0)) = sF1(X0),
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
! [X0] : sF2(X0) = apply(s,sF1(X0)),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
! [X0] : apply(s,sF1(X0)) = sF2(X0),
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
! [X0] : sF3(X0) = apply(sF2(X0),sF2(X0)),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
! [X0] : apply(sF2(X0),sF2(X0)) = sF3(X0),
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
! [X0] : sF4(X0) = apply(sF3(X0),sF2(X0)),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = sF4(X0),
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
! [X0] : ~ fixed_point(sF4(X0)),
inference(definition_folding,[],[f7,f17,f13,f11,f9,f15,f13,f11,f9,f13,f11,f9]) ).
fof(f19,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(sF0(X0),X1),X2),
inference(superposition,[],[f2,f9]) ).
fof(f20,plain,
! [X2,X0,X1] : apply(apply(sF0(X0),X2),X1) = apply(apply(sF1(X0),X1),X2),
inference(superposition,[],[f3,f11]) ).
fof(f23,plain,
! [X0,X1] : apply(X0,X1) = apply(apply(apply(c,i),X1),X0),
inference(superposition,[],[f3,f4]) ).
fof(f33,plain,
! [X2,X0,X1] : apply(apply(apply(c,apply(b,X0)),X1),X2) = apply(X0,apply(X2,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f34,plain,
! [X2,X0,X1] : apply(apply(apply(c,sF0(X0)),X1),X2) = apply(X0,apply(X2,X1)),
inference(forward_demodulation,[],[f33,f9]) ).
fof(f37,plain,
! [X2,X0,X1] : apply(apply(sF1(X0),X1),X2) = apply(X0,apply(X2,X1)),
inference(forward_demodulation,[],[f34,f11]) ).
fof(f51,plain,
! [X2,X0,X1] : apply(apply(apply(c,X1),X0),X2) = apply(apply(apply(c,i),X0),apply(X1,X2)),
inference(superposition,[],[f3,f23]) ).
fof(f66,plain,
! [X2,X0,X1] : apply(apply(sF1(X0),X2),apply(X1,X2)) = apply(apply(sF2(X0),X1),X2),
inference(superposition,[],[f1,f13]) ).
fof(f227,plain,
! [X0,X1] : apply(X1,X0) = apply(apply(sF1(i),X0),X1),
inference(superposition,[],[f4,f37]) ).
fof(f372,plain,
! [X2,X0,X1] : apply(apply(apply(c,X1),X0),X2) = apply(apply(sF1(i),X0),apply(X1,X2)),
inference(superposition,[],[f3,f227]) ).
fof(f374,plain,
! [X2,X0,X1] : apply(apply(X1,X0),X2) = apply(apply(sF1(i),X0),apply(apply(c,X1),X2)),
inference(superposition,[],[f3,f227]) ).
fof(f386,plain,
! [X2,X0,X1] : apply(apply(X0,X1),X2) = apply(apply(apply(c,apply(sF1(i),X1)),X2),X0),
inference(superposition,[],[f3,f227]) ).
fof(f390,plain,
! [X0,X1] : apply(apply(X0,X1),X1) = apply(apply(apply(s,sF1(i)),X0),X1),
inference(superposition,[],[f1,f227]) ).
fof(f392,plain,
! [X0,X1] : apply(apply(X0,X1),X1) = apply(apply(sF2(i),X0),X1),
inference(forward_demodulation,[],[f390,f13]) ).
fof(f395,plain,
! [X2,X0,X1] : apply(apply(X0,X1),X2) = apply(apply(apply(c,i),X2),apply(apply(sF1(i),X1),X0)),
inference(forward_demodulation,[],[f386,f51]) ).
fof(f399,plain,
! [X2,X0,X1] : apply(apply(sF1(i),X0),apply(X1,X2)) = apply(apply(sF1(i),X0),apply(apply(c,apply(c,X1)),X2)),
inference(forward_demodulation,[],[f372,f374]) ).
fof(f430,plain,
! [X2,X0,X1] : apply(apply(X0,X1),X2) = apply(apply(sF1(i),X2),apply(apply(c,apply(c,i)),apply(apply(sF1(i),X1),X0))),
inference(forward_demodulation,[],[f395,f374]) ).
fof(f431,plain,
! [X2,X0,X1] : apply(apply(sF1(i),X0),apply(X1,X2)) = apply(apply(sF1(i),X0),apply(apply(sF1(i),apply(c,X1)),apply(apply(c,c),X2))),
inference(forward_demodulation,[],[f399,f374]) ).
fof(f456,plain,
! [X2,X0,X1] : apply(apply(X0,X1),X2) = apply(apply(sF1(i),X2),apply(apply(sF1(i),apply(c,i)),apply(apply(c,c),apply(apply(sF1(i),X1),X0)))),
inference(forward_demodulation,[],[f430,f374]) ).
fof(f465,plain,
! [X2,X0,X1] : apply(apply(X0,X1),X2) = apply(apply(sF1(i),X2),apply(i,apply(apply(sF1(i),X1),X0))),
inference(forward_demodulation,[],[f456,f431]) ).
fof(f471,plain,
! [X2,X0,X1] : apply(apply(X0,X1),X2) = apply(apply(sF1(i),X2),apply(apply(sF1(i),X1),X0)),
inference(forward_demodulation,[],[f465,f4]) ).
fof(f938,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = apply(apply(sF2(i),sF2(X0)),sF2(X0)),
inference(superposition,[],[f392,f15]) ).
fof(f955,plain,
! [X0] : apply(apply(sF2(i),X0),X0) = apply(sF3(i),X0),
inference(superposition,[],[f392,f15]) ).
fof(f956,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(apply(sF2(i),sF2(i)),X0),
inference(superposition,[],[f392,f392]) ).
fof(f1021,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(sF3(i),X0),
inference(forward_demodulation,[],[f956,f15]) ).
fof(f1022,plain,
! [X0] : apply(sF3(i),X0) = apply(apply(sF1(i),X0),apply(apply(sF1(i),X0),sF2(i))),
inference(forward_demodulation,[],[f955,f471]) ).
fof(f1031,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = apply(apply(sF1(i),sF2(X0)),apply(apply(sF1(i),sF2(X0)),sF2(i))),
inference(forward_demodulation,[],[f938,f471]) ).
fof(f1072,plain,
! [X0] : apply(sF3(i),X0) = apply(apply(sF1(i),X0),apply(apply(sF0(i),sF2(i)),X0)),
inference(forward_demodulation,[],[f1022,f20]) ).
fof(f1075,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = apply(apply(sF1(i),sF2(X0)),apply(apply(sF0(i),sF2(i)),sF2(X0))),
inference(forward_demodulation,[],[f1031,f20]) ).
fof(f1100,plain,
! [X0] : apply(sF3(i),X0) = apply(apply(sF1(i),X0),apply(i,apply(sF2(i),X0))),
inference(forward_demodulation,[],[f1072,f19]) ).
fof(f1102,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = apply(apply(sF1(i),sF2(X0)),apply(i,apply(sF2(i),sF2(X0)))),
inference(forward_demodulation,[],[f1075,f19]) ).
fof(f1120,plain,
! [X0] : apply(sF3(i),X0) = apply(apply(sF1(i),X0),apply(sF2(i),X0)),
inference(forward_demodulation,[],[f1100,f4]) ).
fof(f1122,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = apply(apply(sF1(i),sF2(X0)),apply(sF2(i),sF2(X0))),
inference(forward_demodulation,[],[f1102,f4]) ).
fof(f1132,plain,
! [X0] : apply(sF3(X0),sF2(X0)) = apply(sF3(i),sF2(X0)),
inference(forward_demodulation,[],[f1122,f1120]) ).
fof(f1140,plain,
! [X0] : sF4(X0) = apply(sF3(i),sF2(X0)),
inference(forward_demodulation,[],[f1132,f17]) ).
fof(f2656,plain,
! [X0,X1] : apply(apply(sF1(X1),X0),apply(X0,X0)) = apply(X1,apply(sF3(i),X0)),
inference(superposition,[],[f37,f1021]) ).
fof(f6013,plain,
! [X0] : apply(sF3(i),sF2(X0)) = apply(apply(sF1(X0),sF2(X0)),apply(sF2(X0),sF2(X0))),
inference(superposition,[],[f1021,f66]) ).
fof(f6055,plain,
! [X0] : apply(sF3(i),sF2(X0)) = apply(X0,apply(sF3(i),sF2(X0))),
inference(forward_demodulation,[],[f6013,f2656]) ).
fof(f6143,plain,
! [X0] : sF4(X0) = apply(X0,sF4(X0)),
inference(forward_demodulation,[],[f6055,f1140]) ).
fof(f6373,plain,
( sF4(fixed_pt) != sF4(fixed_pt)
| fixed_point(sF4(fixed_pt)) ),
inference(superposition,[],[f6,f6143]) ).
fof(f6391,plain,
fixed_point(sF4(fixed_pt)),
inference(trivial_inequality_removal,[],[f6373]) ).
fof(f6399,plain,
$false,
inference(forward_subsumption_resolution,[],[f6391,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL002-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:31:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 7.34/1.34 % (3052742)Will run a generic schedule for satisfiability detection.
% 7.34/1.34 % (3052750)dis+10_1_sil=32000:sp=arity:random_seed=609659647:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.34/1.34 % (3052748)% WARNING: option uhcvi not known.
% 7.34/1.34 % (3052748)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1847962020:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.34/1.34 % (3052747)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=615775285_2999 on theBenchmark for (2999ds/0Mi)
% 7.34/1.34 % (3052749)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=538473323:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.34/1.34 % (3052751)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3725598750:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.34/1.34 % TRYING [1]
% 7.34/1.34 % TRYING [2]
% 7.34/1.34 % TRYING [3]
% 7.34/1.34 % (3052753)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1763317349:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.34/1.34 % TRYING [4]
% 7.34/1.34 % (3052752)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2695433761:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.34/1.34 % (3052750)Instruction limit reached!
% 7.34/1.34 % (3052750)------------------------------
% 7.34/1.34 % (3052750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052750)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052750)Termination reason: Instruction limit
% 7.34/1.34 % (3052750)Termination phase: Saturation
% 7.34/1.34 % (3052750)Time elapsed: 0.031 s
% 7.34/1.34 % (3052750)Peak memory usage: 12 MB
% 7.34/1.34 % (3052750)Instructions burned: 104 (million)
% 7.34/1.34 % TRYING [5]
% 7.34/1.34 % (3052761)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=624182751:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.34/1.34 % TRYING [1]
% 7.34/1.34 % TRYING [2]
% 7.34/1.34 % TRYING [3]
% 7.34/1.34 % TRYING [4]
% 7.34/1.34 % TRYING [5]
% 7.34/1.34 % (3052751)Instruction limit reached!
% 7.34/1.34 % (3052751)------------------------------
% 7.34/1.34 % (3052751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052751)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052751)Termination reason: Instruction limit
% 7.34/1.34 % (3052751)Termination phase: Saturation
% 7.34/1.34 % (3052751)Time elapsed: 0.072 s
% 7.34/1.34 % (3052751)Peak memory usage: 13 MB
% 7.34/1.34 % (3052751)Instructions burned: 117 (million)
% 7.34/1.34 % (3052753)Instruction limit reached!
% 7.34/1.34 % (3052753)------------------------------
% 7.34/1.34 % (3052753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052753)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052753)Termination reason: Instruction limit
% 7.34/1.34 % (3052753)Termination phase: Saturation
% 7.34/1.34 % (3052753)Time elapsed: 0.089 s
% 7.34/1.34 % (3052753)Peak memory usage: 12 MB
% 7.34/1.34 % (3052753)Instructions burned: 159 (million)
% 7.34/1.34 % (3052763)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3791749320:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.34/1.34 % TRYING [6]
% 7.34/1.34 % (3052765)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=1962405850:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.34/1.34 % TRYING [6]
% 7.34/1.34 % (3052752)Instruction limit reached!
% 7.34/1.34 % (3052752)------------------------------
% 7.34/1.34 % (3052752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052752)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052752)Termination reason: Instruction limit
% 7.34/1.34 % (3052752)Termination phase: Saturation
% 7.34/1.34 % (3052752)Time elapsed: 0.115 s
% 7.34/1.34 % (3052752)Peak memory usage: 12 MB
% 7.34/1.34 % (3052752)Instructions burned: 131 (million)
% 7.34/1.34 % (3052767)ott-21_1_sil=16000:fs=off:random_seed=3579849491:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.34/1.34 % (3052763)Instruction limit reached!
% 7.34/1.34 % (3052763)------------------------------
% 7.34/1.34 % (3052763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052763)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052763)Termination reason: Instruction limit
% 7.34/1.34 % (3052763)Termination phase: Saturation
% 7.34/1.34 % (3052763)Time elapsed: 0.084 s
% 7.34/1.34 % (3052763)Peak memory usage: 13 MB
% 7.34/1.34 % (3052763)Instructions burned: 131 (million)
% 7.34/1.34 % (3052769)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3504164771:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.34/1.34 % (3052761)Instruction limit reached!
% 7.34/1.34 % (3052761)------------------------------
% 7.34/1.34 % (3052761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052761)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052761)Termination reason: Instruction limit
% 7.34/1.34 % (3052761)Termination phase: Finite model building SAT solving
% 7.34/1.34 % (3052761)Time elapsed: 0.203 s
% 7.34/1.34 % (3052761)Peak memory usage: 28 MB
% 7.34/1.34 % (3052761)Instructions burned: 715 (million)
% 7.34/1.34 % (3052771)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2520554573:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.34/1.34 % TRYING [1]
% 7.34/1.34 % TRYING [2]
% 7.34/1.34 % TRYING [3]
% 7.34/1.34 % TRYING [4]
% 7.34/1.34 % (3052767)Instruction limit reached!
% 7.34/1.34 % (3052767)------------------------------
% 7.34/1.34 % (3052767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052767)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052767)Termination reason: Instruction limit
% 7.34/1.34 % (3052767)Termination phase: Saturation
% 7.34/1.34 % (3052767)Time elapsed: 0.139 s
% 7.34/1.34 % (3052767)Peak memory usage: 13 MB
% 7.34/1.34 % (3052767)Instructions burned: 180 (million)
% 7.34/1.34 % TRYING [5]
% 7.34/1.34 % (3052773)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3005616524:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.34/1.34 % TRYING [7]
% 7.34/1.34 % TRYING [6]
% 7.34/1.34 % (3052769)Instruction limit reached!
% 7.34/1.34 % (3052769)------------------------------
% 7.34/1.34 % (3052769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052769)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052769)Termination reason: Instruction limit
% 7.34/1.34 % (3052769)Termination phase: Saturation
% 7.34/1.34 % (3052769)Time elapsed: 0.253 s
% 7.34/1.34 % (3052769)Peak memory usage: 16 MB
% 7.34/1.34 % (3052769)Instructions burned: 479 (million)
% 7.34/1.34 % (3052771)Instruction limit reached!
% 7.34/1.34 % (3052771)------------------------------
% 7.34/1.34 % (3052771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052771)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052771)Termination reason: Instruction limit
% 7.34/1.34 % (3052771)Termination phase: Finite model building SAT solving
% 7.34/1.34 % (3052771)Time elapsed: 0.226 s
% 7.34/1.34 % (3052771)Peak memory usage: 21 MB
% 7.34/1.34 % (3052771)Instructions burned: 867 (million)
% 7.34/1.34 % (3052765)Instruction limit reached!
% 7.34/1.34 % (3052765)------------------------------
% 7.34/1.34 % (3052765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052765)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052765)Termination reason: Instruction limit
% 7.34/1.34 % (3052765)Termination phase: Saturation
% 7.34/1.34 % (3052765)Time elapsed: 0.365 s
% 7.34/1.34 % (3052765)Peak memory usage: 18 MB
% 7.34/1.34 % (3052765)Instructions burned: 684 (million)
% 7.34/1.34 % (3052775)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3561241793:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.34/1.34 % (3052784)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=3554813757:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.34/1.34 % (3052785)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2307807858:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.34/1.34 % TRYING [14]
% 7.34/1.34 % (3052784)Instruction limit reached!
% 7.34/1.34 % (3052784)------------------------------
% 7.34/1.34 % (3052784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (3052784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (3052784)CaDiCaL version: 2.1.3
% 7.34/1.34 % (3052784)Termination reason: Instruction limit
% 7.34/1.34 % (3052784)Termination phase: Saturation
% 7.34/1.34 % (3052784)Time elapsed: 0.346 s
% 7.34/1.34 % (3052784)Peak memory usage: 18 MB
% 7.34/1.34 % (3052784)Instructions burned: 694 (million)
% 7.34/1.34 % (3052799)fmb+10_1_sil=64000:random_seed=208351813:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.34/1.34 % TRYING [1]
% 7.34/1.34 % TRYING [2]
% 7.34/1.34 % TRYING [3]
% 7.34/1.34 % TRYING [4]
% 7.34/1.34 % TRYING [5]
% 7.34/1.34 % (3052773) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3052742-3052773"...
% 7.34/1.34 % (3052773)...printing done.
% 7.34/1.34 % (3052773)Refutation found. Thanks to Tanya!
% 7.34/1.34 % SZS status Unsatisfiable for theBenchmark
% 7.34/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 7.34/1.35 % (3052773)------------------------------
% 7.34/1.35 % (3052773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.35 % (3052773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.35 % (3052773)CaDiCaL version: 2.1.3
% 7.34/1.35 % (3052773)Termination reason: Refutation
% 7.34/1.35 % (3052773)Time elapsed: 0.724 s
% 7.34/1.35 % (3052773)Peak memory usage: 17 MB
% 7.34/1.35 % (3052773)Instructions burned: 929 (million)
% 7.34/1.35 % (3052742)Success in time 1.103 s
% 7.34/1.35 % Vampire exiting
%------------------------------------------------------------------------------