%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL044-2 : 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 : n005.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 6.88s 1.49s
% Output : Refutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 55 unt; 11 def)
% Number of atoms : 59 ( 53 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 : 46 ( 46 !; 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(apply(b,b),n)),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(sF0,n),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(sF0,n) = 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,
apply(apply(b,b),n) = sF1,
inference(forward_demodulation,[],[f8,f6]) ).
fof(f29,plain,
sF4 = apply(apply(b,b),sF3),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f31,plain,
! [X0,X1] : apply(sF8,apply(X0,X1)) = apply(apply(sF9,X0),X1),
inference(superposition,[],[f1,f24]) ).
fof(f32,plain,
! [X0,X1] : apply(sF6,apply(X0,X1)) = apply(apply(sF7,X0),X1),
inference(superposition,[],[f1,f20]) ).
fof(f33,plain,
! [X0] : apply(b,apply(sF3,X0)) = apply(sF4,X0),
inference(superposition,[],[f1,f29]) ).
fof(f34,plain,
! [X0] : apply(b,apply(n,X0)) = apply(sF1,X0),
inference(superposition,[],[f1,f28]) ).
fof(f35,plain,
! [X0,X1] : apply(apply(apply(sF1,X1),X0),X1) = apply(apply(sF2,X0),X1),
inference(superposition,[],[f2,f10]) ).
fof(f36,plain,
! [X0,X1] : apply(apply(apply(sF4,X1),X0),X1) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f2,f16]) ).
fof(f68,plain,
! [X2,X0,X1] : apply(apply(n,X0),apply(X1,X2)) = apply(apply(apply(sF1,X0),X1),X2),
inference(superposition,[],[f1,f34]) ).
fof(f70,plain,
! [X0,X1] : apply(apply(sF2,X0),X1) = apply(apply(n,X1),apply(X0,X1)),
inference(backward_demodulation,[],[f35,f68]) ).
fof(f89,plain,
! [X2,X0,X1] : apply(apply(apply(X1,X2),apply(X0,X1)),X2) = apply(apply(apply(sF2,X0),X1),X2),
inference(superposition,[],[f2,f70]) ).
fof(f237,plain,
! [X0] : apply(sF10,X0) = apply(sF8,apply(b,X0)),
inference(superposition,[],[f31,f26]) ).
fof(f257,plain,
! [X0] : apply(sF8,X0) = apply(sF6,apply(b,X0)),
inference(superposition,[],[f32,f22]) ).
fof(f282,plain,
! [X2,X0,X1] : apply(apply(sF3,X0),apply(X1,X2)) = apply(apply(apply(sF4,X0),X1),X2),
inference(superposition,[],[f1,f33]) ).
fof(f285,plain,
! [X0,X1] : apply(apply(sF5,X0),X1) = apply(apply(sF3,X1),apply(X0,X1)),
inference(backward_demodulation,[],[f36,f282]) ).
fof(f1185,plain,
! [X0,X1] : apply(apply(apply(X0,X1),apply(n,X0)),X1) = apply(apply(sF3,X0),X1),
inference(superposition,[],[f89,f12]) ).
fof(f1367,plain,
! [X0,X1] : apply(apply(sF3,apply(b,X0)),X1) = apply(apply(X0,apply(X1,apply(n,apply(b,X0)))),X1),
inference(superposition,[],[f1185,f1]) ).
fof(f1527,plain,
! [X0] : apply(apply(sF3,apply(b,X0)),apply(n,apply(b,X0))) = apply(apply(X0,apply(apply(sF2,n),apply(b,X0))),apply(n,apply(b,X0))),
inference(superposition,[],[f1367,f70]) ).
fof(f1656,plain,
! [X0] : apply(apply(sF3,apply(b,X0)),apply(n,apply(b,X0))) = apply(apply(X0,apply(sF3,apply(b,X0))),apply(n,apply(b,X0))),
inference(forward_demodulation,[],[f1527,f12]) ).
fof(f1683,plain,
! [X0] : apply(apply(sF5,n),apply(b,X0)) = apply(apply(X0,apply(sF3,apply(b,X0))),apply(n,apply(b,X0))),
inference(forward_demodulation,[],[f1656,f285]) ).
fof(f1689,plain,
! [X0] : apply(sF6,apply(b,X0)) = apply(apply(X0,apply(sF3,apply(b,X0))),apply(n,apply(b,X0))),
inference(forward_demodulation,[],[f1683,f18]) ).
fof(f1692,plain,
! [X0] : apply(sF8,X0) = apply(apply(X0,apply(sF3,apply(b,X0))),apply(n,apply(b,X0))),
inference(forward_demodulation,[],[f1689,f257]) ).
fof(f1715,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(X0,apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0))))),
inference(superposition,[],[f1,f1692]) ).
fof(f1738,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(X0,apply(apply(sF5,n),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1715,f285]) ).
fof(f1750,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(X0,apply(sF6,apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1738,f18]) ).
fof(f1758,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(X0,apply(sF8,apply(b,X0))),
inference(forward_demodulation,[],[f1750,f257]) ).
fof(f1765,plain,
! [X0] : apply(sF10,X0) = apply(X0,apply(sF10,X0)),
inference(forward_demodulation,[],[f1758,f237]) ).
fof(f1817,plain,
( apply(sF10,fixed_pt) != apply(sF10,fixed_pt)
| fixed_point(sF10) ),
inference(superposition,[],[f3,f1765]) ).
fof(f1824,plain,
fixed_point(sF10),
inference(trivial_inequality_removal,[],[f1817]) ).
fof(f1826,plain,
$false,
inference(forward_subsumption_resolution,[],[f1824,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL044-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n005.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:30:31 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 5.75/1.39 % (1207138)Input is clausal, will run a generic CNF schedule.
% 5.75/1.39 % (1207150)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1942710709:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.75/1.39 % (1207149)lrs+10_1_sil=8000:sp=occurrence:random_seed=542540612:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.75/1.39 % (1207145)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=829279380:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.75/1.39 % (1207153)dis-21_1_sil=8000:lcm=predicate:random_seed=3041352253: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)
% 5.75/1.39 % (1207146)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1921657108:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.75/1.39 % (1207153)Refutation not found, incomplete strategy
% 5.75/1.39 % (1207153)------------------------------
% 5.75/1.39 % (1207153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.39 % (1207153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.39 % (1207153)CaDiCaL version: 2.1.3
% 5.75/1.39 % (1207153)Termination reason: Refutation not found, incomplete strategy
% 5.75/1.39 % (1207153)Time elapsed: 0.001 s
% 5.75/1.39 % (1207153)Peak memory usage: 87 MB
% 5.75/1.39 % (1207148)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=826329704:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.75/1.39 % (1207151)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3162392203:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.75/1.39 % (1207149)Instruction limit reached!
% 5.75/1.39 % (1207149)------------------------------
% 5.75/1.39 % (1207149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.39 % (1207149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.39 % (1207149)CaDiCaL version: 2.1.3
% 5.75/1.39 % (1207149)Termination reason: Instruction limit
% 5.75/1.39 % (1207149)Termination phase: Saturation
% 5.75/1.39 % (1207149)Time elapsed: 0.070 s
% 5.75/1.39 % (1207149)Peak memory usage: 89 MB
% 5.75/1.39 % (1207149)Instructions burned: 108 (million)
% 5.75/1.39 % (1207150)Instruction limit reached!
% 5.75/1.39 % (1207150)------------------------------
% 5.75/1.39 % (1207150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.39 % (1207150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.39 % (1207150)CaDiCaL version: 2.1.3
% 5.75/1.39 % (1207150)Termination reason: Instruction limit
% 5.75/1.39 % (1207150)Termination phase: Saturation
% 5.75/1.39 % (1207150)Time elapsed: 0.072 s
% 5.75/1.39 % (1207150)Peak memory usage: 88 MB
% 5.75/1.39 % (1207150)Instructions burned: 115 (million)
% 5.75/1.39 % (1207151)Instruction limit reached!
% 5.75/1.39 % (1207151)------------------------------
% 5.75/1.39 % (1207151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.39 % (1207151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.39 % (1207151)CaDiCaL version: 2.1.3
% 5.75/1.39 % (1207151)Termination reason: Instruction limit
% 5.75/1.39 % (1207151)Termination phase: Saturation
% 5.75/1.39 % (1207151)Time elapsed: 0.102 s
% 5.75/1.39 % (1207151)Peak memory usage: 89 MB
% 5.75/1.39 % (1207151)Instructions burned: 181 (million)
% 5.75/1.39 % (1207224)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2613164692: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)
% 5.75/1.39 % (1207224)Refutation not found, incomplete strategy
% 5.75/1.39 % (1207224)------------------------------
% 5.75/1.39 % (1207224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.39 % (1207224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.39 % (1207224)CaDiCaL version: 2.1.3
% 5.75/1.39 % (1207224)Termination reason: Refutation not found, incomplete strategy
% 5.75/1.39 % (1207224)Time elapsed: 0.002 s
% 5.75/1.39 % (1207224)Peak memory usage: 88 MB
% 5.75/1.39 % (1207224)Instructions burned: 1 (million)
% 5.75/1.39 % (1207153)------------------------------
% 5.75/1.39 % (1207153)------------------------------
% 6.88/1.49 % (1207223)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=441298200:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.88/1.49 % (1207223)Refutation not found, incomplete strategy
% 6.88/1.49 % (1207223)------------------------------
% 6.88/1.49 % (1207223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.49 % (1207223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.49 % (1207223)CaDiCaL version: 2.1.3
% 6.88/1.49 % (1207223)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.49 % (1207223)Time elapsed: 0.001 s
% 6.88/1.49 % (1207223)Peak memory usage: 87 MB
% 6.88/1.49 % (1207241)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1954784980:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.88/1.49 % (1207241)Refutation not found, incomplete strategy
% 6.88/1.49 % (1207241)------------------------------
% 6.88/1.49 % (1207241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.49 % (1207241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.49 % (1207241)CaDiCaL version: 2.1.3
% 6.88/1.49 % (1207241)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.49 % (1207241)Time elapsed: 0.002 s
% 6.88/1.49 % (1207241)Peak memory usage: 87 MB
% 6.88/1.49 % (1207267)lrs+10_64_to=lpo:sil=8000:random_seed=2519909300:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.88/1.49 % (1207224)------------------------------
% 6.88/1.49 % (1207224)------------------------------
% 6.88/1.49 % (1207223)------------------------------
% 6.88/1.49 % (1207223)------------------------------
% 6.88/1.49 % (1207267)Instruction limit reached!
% 6.88/1.49 % (1207267)------------------------------
% 6.88/1.49 % (1207267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.49 % (1207267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.49 % (1207267)CaDiCaL version: 2.1.3
% 6.88/1.49 % (1207267)Termination reason: Instruction limit
% 6.88/1.49 % (1207267)Termination phase: Saturation
% 6.88/1.49 % (1207267)Time elapsed: 0.083 s
% 6.88/1.49 % (1207267)Peak memory usage: 89 MB
% 6.88/1.49 % (1207267)Instructions burned: 126 (million)
% 6.88/1.49 % (1207241)------------------------------
% 6.88/1.49 % (1207241)------------------------------
% 6.88/1.49 % (1207148)First to succeed.
% 6.88/1.49 % (1207148)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1207138"
% 6.88/1.49 % (1207311)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2987034489:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 6.88/1.49 % (1207313)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4018019768:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 6.88/1.49 % (1207312)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1789100327:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 6.88/1.49 % (1207146)Also succeeded, but the first one will report.
% 6.88/1.49 % (1207315)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=2805948035:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.88/1.49 % (1207148)Refutation found. Thanks to Tanya!
% 6.88/1.49 % SZS status Unsatisfiable for theBenchmark
% 6.88/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 6.88/1.49 % (1207148)------------------------------
% 6.88/1.49 % (1207148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.49 % (1207148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.49 % (1207148)CaDiCaL version: 2.1.3
% 6.88/1.49 % (1207148)Termination reason: Refutation
% 6.88/1.49 % (1207148)Time elapsed: 0.615 s
% 6.88/1.49 % (1207148)Peak memory usage: 136 MB
% 6.88/1.49 % (1207148)Instructions burned: 1549 (million)
% 6.88/1.49 % (1207148)------------------------------
% 6.88/1.49 % (1207148)------------------------------
% 6.88/1.49 % (1207138)Success in time 0.945 s
% 6.88/1.49 % Vampire exiting
%------------------------------------------------------------------------------