%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL044-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:37:43 AM UTC 2026
% Result : Unsatisfiable 7.37s 1.50s
% Output : Refutation 7.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 52 unt; 11 def)
% Number of atoms : 56 ( 50 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 : 12 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_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(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,definition,
sF0 = apply(b,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
apply(b,b) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = apply(n,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(n,sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = apply(n,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
apply(n,sF1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = apply(sF2,n),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
apply(sF2,n) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = apply(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
apply(sF0,sF3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = apply(n,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
apply(n,sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = apply(sF5,n),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(sF5,n) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = apply(b,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
apply(b,sF6) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF8 = apply(sF7,b),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f22,plain,
apply(sF7,b) = sF8,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF9 = apply(b,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f24,plain,
apply(b,sF8) = sF9,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF10 = apply(sF9,b),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f26,plain,
apply(sF9,b) = sF10,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
~ fixed_point(sF10),
inference(definition_folding,[],[f4,f26,f24,f22,f20,f18,f16,f14,f12,f10,f8,f6,f6]) ).
fof(f28,plain,
! [X0,X1] : apply(b,apply(X0,X1)) = apply(apply(sF0,X0),X1),
inference(superposition,[],[f1,f6]) ).
fof(f30,plain,
! [X0,X1] : apply(sF6,apply(X0,X1)) = apply(apply(sF7,X0),X1),
inference(superposition,[],[f1,f20]) ).
fof(f31,plain,
! [X0,X1] : apply(sF8,apply(X0,X1)) = apply(apply(sF9,X0),X1),
inference(superposition,[],[f1,f24]) ).
fof(f32,plain,
! [X0] : apply(b,apply(sF3,X0)) = apply(sF4,X0),
inference(superposition,[],[f28,f14]) ).
fof(f34,plain,
! [X2,X0,X1] : apply(apply(sF3,X0),apply(X1,X2)) = apply(apply(apply(sF4,X0),X1),X2),
inference(superposition,[],[f1,f32]) ).
fof(f35,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(sF10,X0),
inference(superposition,[],[f31,f26]) ).
fof(f37,plain,
! [X0] : apply(sF6,apply(b,X0)) = apply(sF8,X0),
inference(superposition,[],[f30,f22]) ).
fof(f49,plain,
! [X0,X1] : apply(apply(apply(sF4,X1),X0),X1) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f2,f16]) ).
fof(f60,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,X0)),X2),X1) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f61,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(n,X0)),X1),X2) = apply(apply(apply(apply(X0,X1),X2),X1),X2),
inference(superposition,[],[f2,f2]) ).
fof(f74,plain,
! [X0,X1] : apply(apply(sF5,X0),X1) = apply(apply(sF3,X1),apply(X0,X1)),
inference(forward_demodulation,[],[f49,f34]) ).
fof(f193,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X2,X1),X2)),
inference(superposition,[],[f1,f60]) ).
fof(f340,plain,
! [X0,X1] : apply(apply(apply(n,apply(n,sF0)),X0),X1) = apply(apply(apply(b,apply(X0,X1)),X0),X1),
inference(superposition,[],[f61,f28]) ).
fof(f394,plain,
! [X0,X1] : apply(apply(apply(n,apply(n,sF0)),X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(forward_demodulation,[],[f340,f1]) ).
fof(f415,plain,
! [X0,X1] : apply(apply(apply(n,sF1),X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(forward_demodulation,[],[f394,f8]) ).
fof(f417,plain,
! [X0,X1] : apply(apply(sF2,X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(forward_demodulation,[],[f415,f10]) ).
fof(f463,plain,
! [X0,X1] : apply(X0,apply(apply(X1,apply(n,apply(b,apply(b,X0)))),X1)) = apply(apply(apply(sF2,n),apply(b,apply(b,X0))),X1),
inference(superposition,[],[f193,f417]) ).
fof(f478,plain,
! [X0,X1] : apply(X0,apply(apply(X1,apply(n,apply(b,apply(b,X0)))),X1)) = apply(apply(sF3,apply(b,apply(b,X0))),X1),
inference(forward_demodulation,[],[f463,f12]) ).
fof(f668,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(apply(sF2,n),apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0))))),
inference(superposition,[],[f478,f417]) ).
fof(f752,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0))))),
inference(forward_demodulation,[],[f668,f12]) ).
fof(f761,plain,
! [X0] : apply(apply(sF5,n),apply(b,apply(b,X0))) = apply(X0,apply(apply(sF5,n),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f752,f74]) ).
fof(f764,plain,
! [X0] : apply(sF6,apply(b,apply(b,X0))) = apply(X0,apply(sF6,apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f761,f18]) ).
fof(f766,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(X0,apply(sF8,apply(b,X0))),
inference(forward_demodulation,[],[f764,f37]) ).
fof(f768,plain,
! [X0] : apply(sF10,X0) = apply(X0,apply(sF10,X0)),
inference(forward_demodulation,[],[f766,f35]) ).
fof(f806,plain,
( apply(sF10,fixed_pt) != apply(sF10,fixed_pt)
| fixed_point(sF10) ),
inference(superposition,[],[f3,f768]) ).
fof(f813,plain,
fixed_point(sF10),
inference(trivial_inequality_removal,[],[f806]) ).
fof(f814,plain,
$false,
inference(forward_subsumption_resolution,[],[f813,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COL044-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 21:30:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 5.92/1.38 % (3800898)Input is clausal, will run a generic CNF schedule.
% 5.92/1.38 % (3800957)dis-21_1_sil=8000:lcm=predicate:random_seed=1726786356: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)
% 5.92/1.38 % (3800957)Refutation not found, incomplete strategy
% 5.92/1.38 % (3800957)------------------------------
% 5.92/1.38 % (3800957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800957)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800957)Termination reason: Refutation not found, incomplete strategy
% 5.92/1.38 % (3800957)Time elapsed: 0.001 s
% 5.92/1.38 % (3800957)Peak memory usage: 87 MB
% 5.92/1.38 % (3800952)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4067087256:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.92/1.38 % (3800955)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=668807796:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.92/1.38 % (3800951)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=2970506152:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.92/1.38 % (3800953)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1976716158:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.92/1.38 % (3800954)lrs+10_1_sil=8000:sp=occurrence:random_seed=3507425291:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.92/1.38 % (3800956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1587988591:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.92/1.38 % (3800954)Instruction limit reached!
% 5.92/1.38 % (3800954)------------------------------
% 5.92/1.38 % (3800954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800954)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800954)Termination reason: Instruction limit
% 5.92/1.38 % (3800954)Termination phase: Saturation
% 5.92/1.38 % (3800954)Time elapsed: 0.052 s
% 5.92/1.38 % (3800954)Peak memory usage: 89 MB
% 5.92/1.38 % (3800954)Instructions burned: 107 (million)
% 5.92/1.38 % (3800955)Instruction limit reached!
% 5.92/1.38 % (3800955)------------------------------
% 5.92/1.38 % (3800955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800955)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800955)Termination reason: Instruction limit
% 5.92/1.38 % (3800955)Termination phase: Saturation
% 5.92/1.38 % (3800955)Time elapsed: 0.053 s
% 5.92/1.38 % (3800955)Peak memory usage: 88 MB
% 5.92/1.38 % (3800955)Instructions burned: 115 (million)
% 5.92/1.38 % (3800956)Instruction limit reached!
% 5.92/1.38 % (3800956)------------------------------
% 5.92/1.38 % (3800956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800956)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800956)Termination reason: Instruction limit
% 5.92/1.38 % (3800956)Termination phase: Saturation
% 5.92/1.38 % (3800956)Time elapsed: 0.084 s
% 5.92/1.38 % (3800956)Peak memory usage: 89 MB
% 5.92/1.38 % (3800956)Instructions burned: 180 (million)
% 5.92/1.38 % (3800957)------------------------------
% 5.92/1.38 % (3800957)------------------------------
% 5.92/1.38 % (3800974)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=337474041:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.92/1.38 % (3800974)Refutation not found, incomplete strategy
% 5.92/1.38 % (3800974)------------------------------
% 5.92/1.38 % (3800974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800974)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800974)Termination reason: Refutation not found, incomplete strategy
% 5.92/1.38 % (3800974)Time elapsed: 0.001 s
% 5.92/1.38 % (3800974)Peak memory usage: 87 MB
% 5.92/1.38 % (3800975)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=512736387: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)
% 5.92/1.38 % (3800975)Refutation not found, incomplete strategy
% 5.92/1.38 % (3800975)------------------------------
% 5.92/1.38 % (3800975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800975)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800975)Termination reason: Refutation not found, incomplete strategy
% 5.92/1.38 % (3800975)Time elapsed: 0.002 s
% 5.92/1.38 % (3800975)Peak memory usage: 88 MB
% 5.92/1.38 % (3800975)Instructions burned: 1 (million)
% 5.92/1.38 % (3800982)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=842844296:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.92/1.38 % (3800982)Refutation not found, incomplete strategy
% 5.92/1.38 % (3800982)------------------------------
% 5.92/1.38 % (3800982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800982)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800982)Termination reason: Refutation not found, incomplete strategy
% 5.92/1.38 % (3800982)Time elapsed: 0.001 s
% 5.92/1.38 % (3800982)Peak memory usage: 87 MB
% 5.92/1.38 % (3800986)lrs+10_64_to=lpo:sil=8000:random_seed=496706747:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.92/1.38 % (3800975)------------------------------
% 5.92/1.38 % (3800975)------------------------------
% 5.92/1.38 % (3800974)------------------------------
% 5.92/1.38 % (3800974)------------------------------
% 5.92/1.38 % (3800986)Instruction limit reached!
% 5.92/1.38 % (3800986)------------------------------
% 5.92/1.38 % (3800986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800986)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800986)Termination reason: Instruction limit
% 5.92/1.38 % (3800986)Termination phase: Saturation
% 5.92/1.38 % (3800986)Time elapsed: 0.051 s
% 5.92/1.38 % (3800986)Peak memory usage: 89 MB
% 5.92/1.38 % (3800986)Instructions burned: 127 (million)
% 5.92/1.38 % (3800982)------------------------------
% 5.92/1.38 % (3800982)------------------------------
% 5.92/1.38 % (3800951)First to succeed.
% 5.92/1.38 % (3800951)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3800898"
% 5.92/1.38 % (3800998)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4167642047:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 5.92/1.38 % (3800952)Also succeeded, but the first one will report.
% 5.92/1.38 % (3800998)Instruction limit reached!
% 5.92/1.38 % (3800998)------------------------------
% 5.92/1.38 % (3800998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800998)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800998)Termination reason: Instruction limit
% 5.92/1.38 % (3800998)Termination phase: Saturation
% 5.92/1.38 % (3800998)Time elapsed: 0.073 s
% 5.92/1.38 % (3800998)Peak memory usage: 91 MB
% 5.92/1.38 % (3800998)Instructions burned: 194 (million)
% 5.92/1.38 % (3800999)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=382304719:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.92/1.38 % (3801000)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1214662811:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.92/1.38 % (3801003)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=1569308761:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 5.92/1.38 % (3800999)Instruction limit reached!
% 5.92/1.38 % (3800999)------------------------------
% 5.92/1.38 % (3800999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.38 % (3800999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.38 % (3800999)CaDiCaL version: 2.1.3
% 5.92/1.38 % (3800999)Termination reason: Instruction limit
% 5.92/1.38 % (3800999)Termination phase: Saturation
% 5.92/1.38 % (3800999)Time elapsed: 0.092 s
% 5.92/1.38 % (3800999)Peak memory usage: 91 MB
% 7.37/1.50 % (3800999)Instructions burned: 157 (million)
% 7.37/1.50 % (3801003)Instruction limit reached!
% 7.37/1.50 % (3801003)------------------------------
% 7.37/1.50 % (3801003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.50 % (3801003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.50 % (3801003)CaDiCaL version: 2.1.3
% 7.37/1.50 % (3801003)Termination reason: Instruction limit
% 7.37/1.50 % (3801003)Termination phase: Saturation
% 7.37/1.50 % (3801003)Time elapsed: 0.060 s
% 7.37/1.50 % (3801003)Peak memory usage: 89 MB
% 7.37/1.50 % (3801003)Instructions burned: 107 (million)
% 7.37/1.50 % (3800951)Refutation found. Thanks to Tanya!
% 7.37/1.50 % SZS status Unsatisfiable for theBenchmark
% 7.37/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 7.37/1.50 % (3800951)------------------------------
% 7.37/1.50 % (3800951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.50 % (3800951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.50 % (3800951)CaDiCaL version: 2.1.3
% 7.37/1.50 % (3800951)Termination reason: Refutation
% 7.37/1.50 % (3800951)Time elapsed: 0.645 s
% 7.37/1.50 % (3800951)Peak memory usage: 130 MB
% 7.37/1.50 % (3800951)Instructions burned: 1172 (million)
% 7.37/1.50 % (3800951)------------------------------
% 7.37/1.50 % (3800951)------------------------------
% 7.37/1.50 % (3800898)Success in time 1.029 s
% 7.37/1.50 % Vampire exiting
%------------------------------------------------------------------------------