%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL006-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:37:36 AM UTC 2026
% Result : Unsatisfiable 8.84s 2.07s
% Output : Refutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 55 ( 53 unt; 12 def)
% Number of atoms : 57 ( 51 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 15 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 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(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),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(k,s),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(k,s) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = apply(s,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
apply(s,sF6) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF8 = apply(sF7,k),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f22,plain,
apply(sF7,k) = 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(sF9,sF4),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f26,plain,
apply(sF9,sF4) = sF10,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF11 = apply(sF5,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f28,plain,
apply(sF5,sF10) = sF11,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
~ fixed_point(sF11),
inference(definition_folding,[],[f4,f28,f26,f14,f12,f8,f6,f10,f8,f6,f24,f22,f20,f18,f16,f14,f12,f8,f6,f10,f8,f6]) ).
fof(f30,plain,
sF2 = apply(s,apply(sF0,k)),
inference(forward_demodulation,[],[f10,f8]) ).
fof(f31,plain,
sF3 = apply(sF2,apply(sF0,k)),
inference(forward_demodulation,[],[f12,f8]) ).
fof(f32,plain,
sF5 = apply(s,apply(k,sF3)),
inference(forward_demodulation,[],[f16,f14]) ).
fof(f33,plain,
apply(s,apply(k,s)) = sF7,
inference(forward_demodulation,[],[f20,f18]) ).
fof(f34,plain,
sF10 = apply(sF9,apply(k,sF3)),
inference(forward_demodulation,[],[f26,f14]) ).
fof(f37,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(s,apply(k,X0)),X1),X2),
inference(superposition,[],[f1,f2]) ).
fof(f45,plain,
! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
inference(superposition,[],[f2,f1]) ).
fof(f46,plain,
! [X0,X1] : apply(apply(sF0,X0),X1) = X1,
inference(forward_demodulation,[],[f45,f6]) ).
fof(f73,plain,
! [X0,X1] : apply(apply(sF8,X1),apply(X0,X1)) = apply(apply(sF9,X0),X1),
inference(superposition,[],[f1,f24]) ).
fof(f76,plain,
! [X0,X1] : apply(s,apply(X0,X1)) = apply(apply(sF7,X0),X1),
inference(superposition,[],[f37,f33]) ).
fof(f81,plain,
! [X0,X1] : apply(apply(apply(sF0,k),X1),apply(X0,X1)) = apply(apply(sF2,X0),X1),
inference(superposition,[],[f1,f30]) ).
fof(f84,plain,
! [X0,X1] : apply(apply(sF2,X0),X1) = apply(X1,apply(X0,X1)),
inference(forward_demodulation,[],[f81,f46]) ).
fof(f114,plain,
! [X0,X1] : apply(sF3,apply(X0,X1)) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f37,f32]) ).
fof(f121,plain,
! [X0] : apply(X0,apply(apply(sF0,k),X0)) = apply(sF3,X0),
inference(superposition,[],[f84,f31]) ).
fof(f126,plain,
! [X0] : apply(X0,X0) = apply(sF3,X0),
inference(forward_demodulation,[],[f121,f46]) ).
fof(f205,plain,
! [X0] : apply(sF3,apply(sF10,X0)) = apply(sF11,X0),
inference(superposition,[],[f114,f28]) ).
fof(f266,plain,
! [X0] : apply(s,apply(k,X0)) = apply(sF8,X0),
inference(superposition,[],[f76,f22]) ).
fof(f286,plain,
! [X0,X1] : apply(apply(sF9,X0),X1) = apply(apply(s,apply(k,X1)),apply(X0,X1)),
inference(backward_demodulation,[],[f73,f266]) ).
fof(f334,plain,
! [X2,X0,X1] : apply(X1,apply(apply(X0,X1),X2)) = apply(apply(apply(sF9,X0),X1),X2),
inference(superposition,[],[f37,f286]) ).
fof(f463,plain,
! [X0,X1] : apply(X0,apply(apply(apply(k,sF3),X0),X1)) = apply(apply(sF10,X0),X1),
inference(superposition,[],[f334,f34]) ).
fof(f500,plain,
! [X0,X1] : apply(X0,apply(sF3,X1)) = apply(apply(sF10,X0),X1),
inference(forward_demodulation,[],[f463,f2]) ).
fof(f524,plain,
! [X0] : apply(sF3,apply(sF10,X0)) = apply(X0,apply(sF3,apply(sF10,X0))),
inference(superposition,[],[f126,f500]) ).
fof(f536,plain,
! [X0] : apply(sF11,X0) = apply(X0,apply(sF11,X0)),
inference(forward_demodulation,[],[f524,f205]) ).
fof(f577,plain,
( apply(sF11,fixed_pt) != apply(sF11,fixed_pt)
| fixed_point(sF11) ),
inference(superposition,[],[f3,f536]) ).
fof(f588,plain,
fixed_point(sF11),
inference(trivial_inequality_removal,[],[f577]) ).
fof(f593,plain,
$false,
inference(forward_subsumption_resolution,[],[f588,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:31:40 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.47/1.94 % (3806760)Input is clausal, will run a generic CNF schedule.
% 7.47/1.94 % (3806860)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1687654767:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.47/1.94 % (3806864)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=415697623:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.47/1.94 % (3806862)lrs+10_1_sil=8000:sp=occurrence:random_seed=1592101125:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.47/1.94 % (3806863)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=5066746:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.47/1.94 % (3806859)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3518884926:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.47/1.94 % (3806865)dis-21_1_sil=8000:lcm=predicate:random_seed=4226974922:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.47/1.94 % (3806861)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2917451656:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.47/1.94 % (3806865)Refutation not found, incomplete strategy
% 7.47/1.94 % (3806865)------------------------------
% 7.47/1.94 % (3806865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806865)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806865)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.94 % (3806865)Time elapsed: 0.001 s
% 7.47/1.94 % (3806865)Peak memory usage: 88 MB
% 7.47/1.94 % (3806862)Instruction limit reached!
% 7.47/1.94 % (3806862)------------------------------
% 7.47/1.94 % (3806862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806862)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806862)Termination reason: Instruction limit
% 7.47/1.94 % (3806862)Termination phase: Saturation
% 7.47/1.94 % (3806862)Time elapsed: 0.070 s
% 7.47/1.94 % (3806862)Peak memory usage: 89 MB
% 7.47/1.94 % (3806862)Instructions burned: 108 (million)
% 7.47/1.94 % (3806863)Instruction limit reached!
% 7.47/1.94 % (3806863)------------------------------
% 7.47/1.94 % (3806863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806863)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806863)Termination reason: Instruction limit
% 7.47/1.94 % (3806863)Termination phase: Saturation
% 7.47/1.94 % (3806863)Time elapsed: 0.071 s
% 7.47/1.94 % (3806863)Peak memory usage: 89 MB
% 7.47/1.94 % (3806863)Instructions burned: 114 (million)
% 7.47/1.94 % (3806864)Instruction limit reached!
% 7.47/1.94 % (3806864)------------------------------
% 7.47/1.94 % (3806864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806864)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806864)Termination reason: Instruction limit
% 7.47/1.94 % (3806864)Termination phase: Saturation
% 7.47/1.94 % (3806864)Time elapsed: 0.101 s
% 7.47/1.94 % (3806864)Peak memory usage: 90 MB
% 7.47/1.94 % (3806864)Instructions burned: 181 (million)
% 7.47/1.94 % (3806932)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2611189253:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.47/1.94 % (3806931)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=448161758:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.47/1.94 % (3806931)Refutation not found, incomplete strategy
% 7.47/1.94 % (3806931)------------------------------
% 7.47/1.94 % (3806931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806931)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806931)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.94 % (3806931)Time elapsed: 0.001 s
% 7.47/1.94 % (3806931)Peak memory usage: 88 MB
% 7.47/1.94 % (3806932)Refutation not found, incomplete strategy
% 7.47/1.94 % (3806932)------------------------------
% 7.47/1.94 % (3806932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806932)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806932)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.94 % (3806932)Time elapsed: 0.002 s
% 7.47/1.94 % (3806932)Peak memory usage: 88 MB
% 7.47/1.94 % (3806932)Instructions burned: 1 (million)
% 7.47/1.94 % (3806865)------------------------------
% 7.47/1.94 % (3806865)------------------------------
% 7.47/1.94 % (3806933)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2843122614:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.47/1.94 % (3806933)Refutation not found, incomplete strategy
% 7.47/1.94 % (3806933)------------------------------
% 7.47/1.94 % (3806933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806933)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806933)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.94 % (3806933)Time elapsed: 0.001 s
% 7.47/1.94 % (3806933)Peak memory usage: 88 MB
% 7.47/1.94 % (3806937)lrs+10_64_to=lpo:sil=8000:random_seed=3051361257:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.47/1.94 % (3806937)Instruction limit reached!
% 7.47/1.94 % (3806937)------------------------------
% 7.47/1.94 % (3806937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806937)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806937)Termination reason: Instruction limit
% 7.47/1.94 % (3806937)Termination phase: Saturation
% 7.47/1.94 % (3806937)Time elapsed: 0.041 s
% 7.47/1.94 % (3806937)Peak memory usage: 89 MB
% 7.47/1.94 % (3806937)Instructions burned: 127 (million)
% 7.47/1.94 % (3806932)------------------------------
% 7.47/1.94 % (3806932)------------------------------
% 7.47/1.94 % (3806931)------------------------------
% 7.47/1.94 % (3806931)------------------------------
% 7.47/1.94 % (3806933)------------------------------
% 7.47/1.94 % (3806933)------------------------------
% 7.47/1.94 % (3806939)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2451720670:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.47/1.94 % (3806939)Instruction limit reached!
% 7.47/1.94 % (3806939)------------------------------
% 7.47/1.94 % (3806939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806939)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806939)Termination reason: Instruction limit
% 7.47/1.94 % (3806939)Termination phase: Saturation
% 7.47/1.94 % (3806939)Time elapsed: 0.064 s
% 7.47/1.94 % (3806939)Peak memory usage: 90 MB
% 7.47/1.94 % (3806939)Instructions burned: 194 (million)
% 7.47/1.94 % (3806940)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2757513217:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 7.47/1.94 % (3806941)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1610945956:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.47/1.94 % (3806942)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1710801843:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.47/1.94 % (3806944)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=202372623:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.47/1.94 % (3806944)Refutation not found, incomplete strategy
% 7.47/1.94 % (3806944)------------------------------
% 7.47/1.94 % (3806944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.94 % (3806944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.94 % (3806944)CaDiCaL version: 2.1.3
% 7.47/1.94 % (3806944)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.94 % (3806944)Time elapsed: 0.0000 s
% 7.47/1.94 % (3806944)Peak memory usage: 87 MB
% 7.47/1.94 % (3806861)First to succeed.
% 8.84/2.07 % (3806861)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3806760"
% 8.84/2.07 % (3806940)Instruction limit reached!
% 8.84/2.07 % (3806940)------------------------------
% 8.84/2.07 % (3806940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.07 % (3806940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.07 % (3806940)CaDiCaL version: 2.1.3
% 8.84/2.07 % (3806940)Termination reason: Instruction limit
% 8.84/2.07 % (3806940)Termination phase: Saturation
% 8.84/2.07 % (3806940)Time elapsed: 0.102 s
% 8.84/2.07 % (3806940)Peak memory usage: 91 MB
% 8.84/2.07 % (3806940)Instructions burned: 157 (million)
% 8.84/2.07 % (3806859)Also succeeded, but the first one will report.
% 8.84/2.07 % (3806942)Instruction limit reached!
% 8.84/2.07 % (3806942)------------------------------
% 8.84/2.07 % (3806942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.07 % (3806942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.07 % (3806942)CaDiCaL version: 2.1.3
% 8.84/2.07 % (3806942)Termination reason: Instruction limit
% 8.84/2.07 % (3806942)Termination phase: Saturation
% 8.84/2.07 % (3806942)Time elapsed: 0.071 s
% 8.84/2.07 % (3806942)Peak memory usage: 90 MB
% 8.84/2.07 % (3806942)Instructions burned: 107 (million)
% 8.84/2.07 % (3806944)------------------------------
% 8.84/2.07 % (3806944)------------------------------
% 8.84/2.07 % (3806949)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3291016904:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 8.84/2.07 % (3806950)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=933773391:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.84/2.07 % (3806861)Refutation found. Thanks to Tanya!
% 8.84/2.07 % SZS status Unsatisfiable for theBenchmark
% 8.84/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.84/2.08 % (3806861)------------------------------
% 8.84/2.08 % (3806861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.08 % (3806861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.08 % (3806861)CaDiCaL version: 2.1.3
% 8.84/2.08 % (3806861)Termination reason: Refutation
% 8.84/2.08 % (3806861)Time elapsed: 0.732 s
% 8.84/2.08 % (3806861)Peak memory usage: 130 MB
% 8.84/2.08 % (3806861)Instructions burned: 1082 (million)
% 8.84/2.08 % (3806861)------------------------------
% 8.84/2.08 % (3806861)------------------------------
% 8.84/2.08 % (3806760)Success in time 1.174 s
% 8.84/2.08 % Vampire exiting
%------------------------------------------------------------------------------