%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL006-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:37:36 AM UTC 2026
% Result : Unsatisfiable 14.53s 3.08s
% Output : Refutation 14.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% 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 : 47 ( 47 !; 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,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,definition,
sF0 = apply(s,s),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
apply(s,s) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = apply(s,k),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(s,k) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = apply(sF1,k),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
apply(sF1,k) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = apply(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
apply(sF0,sF2) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = apply(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
apply(sF0,sF1) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = apply(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
apply(sF3,sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = apply(k,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(k,sF5) = 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(k,s),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f22,plain,
apply(k,s) = 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,k),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f26,plain,
apply(sF9,k) = sF10,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF11 = apply(sF7,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f28,plain,
apply(sF7,sF10) = sF11,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
~ fixed_point(sF11),
inference(definition_folding,[],[f4,f28,f26,f24,f22,f20,f18,f16,f14,f8,f6,f12,f10,f8,f6]) ).
fof(f30,plain,
! [X0] : s = apply(sF8,X0),
inference(superposition,[],[f2,f22]) ).
fof(f31,plain,
! [X0] : sF5 = apply(sF6,X0),
inference(superposition,[],[f2,f18]) ).
fof(f35,plain,
! [X0,X1] : apply(apply(sF6,X1),apply(X0,X1)) = apply(apply(sF7,X0),X1),
inference(superposition,[],[f1,f20]) ).
fof(f36,plain,
! [X0,X1] : apply(apply(sF8,X1),apply(X0,X1)) = apply(apply(sF9,X0),X1),
inference(superposition,[],[f1,f24]) ).
fof(f37,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(f39,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(s,apply(k,X0)),X1),X2),
inference(superposition,[],[f1,f2]) ).
fof(f47,plain,
! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
inference(superposition,[],[f2,f1]) ).
fof(f48,plain,
! [X0,X1] : apply(apply(sF1,X0),X1) = X1,
inference(forward_demodulation,[],[f47,f8]) ).
fof(f50,plain,
! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(sF0,X0),X1),X2),
inference(forward_demodulation,[],[f37,f6]) ).
fof(f51,plain,
! [X0,X1] : apply(apply(sF9,X0),X1) = apply(s,apply(X0,X1)),
inference(forward_demodulation,[],[f36,f30]) ).
fof(f52,plain,
! [X0,X1] : apply(apply(sF7,X0),X1) = apply(sF5,apply(X0,X1)),
inference(forward_demodulation,[],[f35,f31]) ).
fof(f67,plain,
! [X0] : apply(sF2,X0) = X0,
inference(superposition,[],[f48,f10]) ).
fof(f81,plain,
! [X0] : apply(s,apply(k,X0)) = apply(sF10,X0),
inference(superposition,[],[f51,f26]) ).
fof(f87,plain,
! [X0] : apply(sF5,apply(sF10,X0)) = apply(sF11,X0),
inference(superposition,[],[f52,f28]) ).
fof(f134,plain,
! [X0,X1] : apply(apply(X0,X1),apply(X0,X1)) = apply(apply(apply(sF0,sF2),X0),X1),
inference(superposition,[],[f50,f67]) ).
fof(f139,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(sF0,sF1),X1),X0),
inference(superposition,[],[f50,f48]) ).
fof(f169,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(sF4,X1),X0),
inference(forward_demodulation,[],[f139,f14]) ).
fof(f171,plain,
! [X0,X1] : apply(apply(X0,X1),apply(X0,X1)) = apply(apply(sF3,X0),X1),
inference(forward_demodulation,[],[f134,f12]) ).
fof(f229,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF4,apply(s,apply(k,X0))),X1),
inference(superposition,[],[f39,f169]) ).
fof(f244,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF4,apply(sF10,X0)),X1),
inference(forward_demodulation,[],[f229,f81]) ).
fof(f1002,plain,
! [X0] : apply(apply(sF3,sF4),apply(sF10,X0)) = apply(X0,apply(apply(sF3,sF4),apply(sF10,X0))),
inference(superposition,[],[f244,f171]) ).
fof(f1097,plain,
! [X0] : apply(sF5,apply(sF10,X0)) = apply(X0,apply(sF5,apply(sF10,X0))),
inference(forward_demodulation,[],[f1002,f16]) ).
fof(f1119,plain,
! [X0] : apply(sF11,X0) = apply(X0,apply(sF11,X0)),
inference(forward_demodulation,[],[f1097,f87]) ).
fof(f1169,plain,
( apply(sF11,fixed_pt) != apply(sF11,fixed_pt)
| fixed_point(sF11) ),
inference(superposition,[],[f3,f1119]) ).
fof(f1176,plain,
fixed_point(sF11),
inference(trivial_inequality_removal,[],[f1169]) ).
fof(f1177,plain,
$false,
inference(forward_subsumption_resolution,[],[f1176,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL006-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n004.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 21:29:22 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.26 Running first-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.88/2.80 % (805527)Input is clausal, will run a generic CNF schedule.
% 12.88/2.80 % (805539)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3440881987:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.88/2.80 % (805541)lrs+10_1_sil=8000:sp=occurrence:random_seed=1707439422:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.88/2.80 % (805540)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=877015752:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.88/2.80 % (805538)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=1761235815:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.88/2.80 % (805543)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2768452038:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.88/2.80 % (805542)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=390830684:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.88/2.80 % (805544)dis-21_1_sil=8000:lcm=predicate:random_seed=1972974680: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)
% 12.88/2.80 % (805544)Refutation not found, incomplete strategy
% 12.88/2.80 % (805544)------------------------------
% 12.88/2.80 % (805544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805544)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805544)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.80 % (805544)Time elapsed: 0.002 s
% 12.88/2.80 % (805544)Peak memory usage: 88 MB
% 12.88/2.80 % (805541)Instruction limit reached!
% 12.88/2.80 % (805541)------------------------------
% 12.88/2.80 % (805541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805541)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805541)Termination reason: Instruction limit
% 12.88/2.80 % (805541)Termination phase: Saturation
% 12.88/2.80 % (805541)Time elapsed: 0.114 s
% 12.88/2.80 % (805541)Peak memory usage: 89 MB
% 12.88/2.80 % (805541)Instructions burned: 107 (million)
% 12.88/2.80 % (805542)Instruction limit reached!
% 12.88/2.80 % (805542)------------------------------
% 12.88/2.80 % (805542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805542)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805542)Termination reason: Instruction limit
% 12.88/2.80 % (805542)Termination phase: Saturation
% 12.88/2.80 % (805542)Time elapsed: 0.110 s
% 12.88/2.80 % (805542)Peak memory usage: 89 MB
% 12.88/2.80 % (805542)Instructions burned: 114 (million)
% 12.88/2.80 % (805543)Instruction limit reached!
% 12.88/2.80 % (805543)------------------------------
% 12.88/2.80 % (805543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805543)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805543)Termination reason: Instruction limit
% 12.88/2.80 % (805543)Termination phase: Saturation
% 12.88/2.80 % (805543)Time elapsed: 0.167 s
% 12.88/2.80 % (805543)Peak memory usage: 90 MB
% 12.88/2.80 % (805543)Instructions burned: 180 (million)
% 12.88/2.80 % (805554)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=2587892521:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 12.88/2.80 % (805554)Refutation not found, incomplete strategy
% 12.88/2.80 % (805554)------------------------------
% 12.88/2.80 % (805554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805554)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805554)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.80 % (805554)Time elapsed: 0.002 s
% 12.88/2.80 % (805554)Peak memory usage: 88 MB
% 12.88/2.80 % (805555)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4002970036:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 12.88/2.80 % (805555)Refutation not found, incomplete strategy
% 12.88/2.80 % (805555)------------------------------
% 12.88/2.80 % (805555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805555)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805555)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.80 % (805555)Time elapsed: 0.003 s
% 12.88/2.80 % (805555)Peak memory usage: 88 MB
% 12.88/2.80 % (805555)Instructions burned: 1 (million)
% 12.88/2.80 % (805544)------------------------------
% 12.88/2.80 % (805544)------------------------------
% 12.88/2.80 % (805556)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=957661375:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 12.88/2.80 % (805556)Refutation not found, incomplete strategy
% 12.88/2.80 % (805556)------------------------------
% 12.88/2.80 % (805556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805556)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805556)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.80 % (805556)Time elapsed: 0.002 s
% 12.88/2.80 % (805556)Peak memory usage: 88 MB
% 12.88/2.80 % (805560)lrs+10_64_to=lpo:sil=8000:random_seed=2851361470:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 12.88/2.80 % (805560)Instruction limit reached!
% 12.88/2.80 % (805560)------------------------------
% 12.88/2.80 % (805560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805560)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805560)Termination reason: Instruction limit
% 12.88/2.80 % (805560)Termination phase: Saturation
% 12.88/2.80 % (805560)Time elapsed: 0.062 s
% 12.88/2.80 % (805560)Peak memory usage: 89 MB
% 12.88/2.80 % (805560)Instructions burned: 128 (million)
% 12.88/2.80 % (805554)------------------------------
% 12.88/2.80 % (805554)------------------------------
% 12.88/2.80 % (805555)------------------------------
% 12.88/2.80 % (805555)------------------------------
% 12.88/2.80 % (805556)------------------------------
% 12.88/2.80 % (805556)------------------------------
% 12.88/2.80 % (805562)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2522714233:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 12.88/2.80 % (805562)Instruction limit reached!
% 12.88/2.80 % (805562)------------------------------
% 12.88/2.80 % (805562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805562)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805562)Termination reason: Instruction limit
% 12.88/2.80 % (805562)Termination phase: Saturation
% 12.88/2.80 % (805562)Time elapsed: 0.097 s
% 12.88/2.80 % (805562)Peak memory usage: 90 MB
% 12.88/2.80 % (805562)Instructions burned: 196 (million)
% 12.88/2.80 % (805564)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3891436874:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 12.88/2.80 % (805563)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3783241005:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 12.88/2.80 % (805566)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=95123861:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 12.88/2.80 % (805569)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2035708392:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 12.88/2.80 % (805569)Refutation not found, incomplete strategy
% 12.88/2.80 % (805569)------------------------------
% 12.88/2.80 % (805569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.80 % (805569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.80 % (805569)CaDiCaL version: 2.1.3
% 12.88/2.80 % (805569)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.80 % (805569)Time elapsed: 0.001 s
% 12.88/2.80 % (805569)Peak memory usage: 87 MB
% 12.88/2.80 % (805563)Instruction limit reached!
% 12.88/2.80 % (805563)------------------------------
% 12.88/2.80 % (805563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.08 % (805563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.08 % (805563)CaDiCaL version: 2.1.3
% 14.53/3.08 % (805563)Termination reason: Instruction limit
% 14.53/3.08 % (805563)Termination phase: Saturation
% 14.53/3.08 % (805563)Time elapsed: 0.167 s
% 14.53/3.08 % (805563)Peak memory usage: 91 MB
% 14.53/3.08 % (805563)Instructions burned: 157 (million)
% 14.53/3.08 % (805566)Instruction limit reached!
% 14.53/3.08 % (805566)------------------------------
% 14.53/3.08 % (805566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.08 % (805566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.08 % (805566)CaDiCaL version: 2.1.3
% 14.53/3.08 % (805566)Termination reason: Instruction limit
% 14.53/3.08 % (805566)Termination phase: Saturation
% 14.53/3.08 % (805566)Time elapsed: 0.108 s
% 14.53/3.08 % (805566)Peak memory usage: 90 MB
% 14.53/3.08 % (805566)Instructions burned: 106 (million)
% 14.53/3.08 % (805572)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2228088244:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 14.53/3.08 % (805569)------------------------------
% 14.53/3.08 % (805569)------------------------------
% 14.53/3.08 % (805538)First to succeed.
% 14.53/3.08 % (805538)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-805527"
% 14.53/3.08 % (805573)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4216395870:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 14.53/3.08 % (805572)Instruction limit reached!
% 14.53/3.08 % (805572)------------------------------
% 14.53/3.08 % (805572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.08 % (805572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.08 % (805572)CaDiCaL version: 2.1.3
% 14.53/3.08 % (805572)Termination reason: Instruction limit
% 14.53/3.08 % (805572)Termination phase: Saturation
% 14.53/3.08 % (805572)Time elapsed: 0.151 s
% 14.53/3.08 % (805572)Peak memory usage: 91 MB
% 14.53/3.08 % (805572)Instructions burned: 242 (million)
% 14.53/3.08 % (805575)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=814498356:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 14.53/3.08 % (805575)Instruction limit reached!
% 14.53/3.08 % (805575)------------------------------
% 14.53/3.08 % (805575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.08 % (805575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.08 % (805575)CaDiCaL version: 2.1.3
% 14.53/3.08 % (805575)Termination reason: Instruction limit
% 14.53/3.08 % (805575)Termination phase: Saturation
% 14.53/3.08 % (805575)Time elapsed: 0.073 s
% 14.53/3.08 % (805575)Peak memory usage: 90 MB
% 14.53/3.08 % (805575)Instructions burned: 134 (million)
% 14.53/3.08 % (805579)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=975336500:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 14.53/3.08 % (805538)Refutation found. Thanks to Tanya!
% 14.53/3.08 % SZS status Unsatisfiable for theBenchmark
% 14.53/3.08 % SZS output start Proof for theBenchmark
% See solution above
% 14.53/3.08 % (805538)------------------------------
% 14.53/3.08 % (805538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.08 % (805538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.08 % (805538)CaDiCaL version: 2.1.3
% 14.53/3.08 % (805538)Termination reason: Refutation
% 14.53/3.08 % (805538)Time elapsed: 1.287 s
% 14.53/3.08 % (805538)Peak memory usage: 131 MB
% 14.53/3.08 % (805538)Instructions burned: 1202 (million)
% 14.53/3.08 % (805538)------------------------------
% 14.53/3.08 % (805538)------------------------------
% 14.53/3.08 % (805527)Success in time 1.931 s
% 14.53/3.08 % Vampire exiting
%------------------------------------------------------------------------------