%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT174-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:46:08 AM UTC 2026
% Result : Unsatisfiable 26.94s 5.01s
% Output : Refutation 26.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 72 ( 72 unt; 7 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : join(X0,meet(X1,join(X2,meet(X1,X3)))) = join(X0,meet(X1,join(X2,meet(X3,join(X0,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H76_dual) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H6) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = join(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = join(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
join(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(a,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF6,
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12,f16,f14,f12]) ).
fof(f28,plain,
sF2 = meet(sF2,sF5),
inference(superposition,[],[f3,f22]) ).
fof(f29,plain,
a = join(a,sF0),
inference(superposition,[],[f4,f12]) ).
fof(f32,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f34,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f45,plain,
sF0 = meet(sF0,sF1),
inference(superposition,[],[f34,f14]) ).
fof(f52,plain,
sF1 = join(sF1,sF2),
inference(superposition,[],[f32,f16]) ).
fof(f64,plain,
! [X2,X3,X0,X1] : join(X1,meet(X0,join(X2,meet(X0,X3)))) = join(X1,meet(X0,join(X2,meet(X3,join(X0,X1))))),
inference(superposition,[],[f9,f6]) ).
fof(f147,plain,
! [X0,X1] : join(b,meet(a,join(X0,meet(a,X1)))) = join(b,meet(a,join(X0,meet(X1,sF3)))),
inference(superposition,[],[f64,f18]) ).
fof(f187,plain,
! [X0] : meet(a,meet(c,X0)) = meet(sF0,X0),
inference(superposition,[],[f7,f12]) ).
fof(f188,plain,
! [X0] : meet(a,meet(sF1,X0)) = meet(sF2,X0),
inference(superposition,[],[f7,f16]) ).
fof(f189,plain,
! [X0] : meet(a,meet(sF5,X0)) = meet(sF6,X0),
inference(superposition,[],[f7,f24]) ).
fof(f226,plain,
! [X0] : join(b,join(sF0,X0)) = join(sF1,X0),
inference(superposition,[],[f8,f14]) ).
fof(f487,plain,
! [X0] : meet(sF0,X0) = meet(a,meet(X0,c)),
inference(superposition,[],[f187,f5]) ).
fof(f1185,plain,
join(b,sF0) = join(sF1,sF0),
inference(superposition,[],[f226,f2]) ).
fof(f1187,plain,
! [X0] : join(sF1,X0) = join(b,join(X0,sF0)),
inference(superposition,[],[f226,f6]) ).
fof(f1227,plain,
join(b,sF0) = join(sF0,sF1),
inference(forward_demodulation,[],[f1185,f6]) ).
fof(f1233,plain,
sF1 = join(sF0,sF1),
inference(forward_demodulation,[],[f1227,f14]) ).
fof(f2133,plain,
! [X0] : meet(sF2,X0) = meet(a,meet(X0,sF1)),
inference(superposition,[],[f188,f5]) ).
fof(f2147,plain,
meet(sF0,sF1) = meet(sF2,c),
inference(superposition,[],[f487,f188]) ).
fof(f2170,plain,
meet(sF0,sF1) = meet(c,sF2),
inference(forward_demodulation,[],[f2147,f5]) ).
fof(f2189,plain,
sF0 = meet(c,sF2),
inference(forward_demodulation,[],[f2170,f45]) ).
fof(f2491,plain,
join(b,a) = join(sF1,a),
inference(superposition,[],[f1187,f29]) ).
fof(f2532,plain,
join(b,a) = join(a,sF1),
inference(forward_demodulation,[],[f2491,f6]) ).
fof(f2542,plain,
join(a,b) = join(a,sF1),
inference(forward_demodulation,[],[f2532,f6]) ).
fof(f2545,plain,
sF3 = join(a,sF1),
inference(forward_demodulation,[],[f2542,f18]) ).
fof(f2550,plain,
sF1 = meet(sF1,sF3),
inference(superposition,[],[f34,f2545]) ).
fof(f3003,plain,
meet(sF2,sF5) = meet(sF6,sF1),
inference(superposition,[],[f2133,f189]) ).
fof(f3029,plain,
meet(sF2,sF5) = meet(sF1,sF6),
inference(forward_demodulation,[],[f3003,f5]) ).
fof(f3052,plain,
sF2 = meet(sF1,sF6),
inference(forward_demodulation,[],[f3029,f28]) ).
fof(f3854,plain,
sF2 = join(sF2,sF0),
inference(superposition,[],[f32,f2189]) ).
fof(f3870,plain,
sF2 = join(sF0,sF2),
inference(forward_demodulation,[],[f3854,f6]) ).
fof(f3872,plain,
join(sF1,sF2) = join(b,sF2),
inference(superposition,[],[f226,f3870]) ).
fof(f3888,plain,
sF1 = join(b,sF2),
inference(forward_demodulation,[],[f3872,f52]) ).
fof(f4360,plain,
! [X0] : join(b,meet(a,join(X0,meet(a,c)))) = join(b,meet(a,join(X0,sF4))),
inference(superposition,[],[f147,f20]) ).
fof(f4362,plain,
! [X0] : join(b,meet(a,join(X0,meet(a,sF1)))) = join(b,meet(a,join(X0,sF1))),
inference(superposition,[],[f147,f2550]) ).
fof(f4462,plain,
! [X0] : join(b,meet(a,join(X0,sF1))) = join(b,meet(a,join(X0,sF2))),
inference(forward_demodulation,[],[f4362,f16]) ).
fof(f4464,plain,
! [X0] : join(b,meet(a,join(X0,sF4))) = join(b,meet(a,join(X0,sF0))),
inference(forward_demodulation,[],[f4360,f12]) ).
fof(f4544,plain,
join(b,meet(a,join(sF2,sF0))) = join(b,meet(a,sF5)),
inference(superposition,[],[f4464,f22]) ).
fof(f4592,plain,
join(b,meet(a,join(sF2,sF0))) = join(b,sF6),
inference(forward_demodulation,[],[f4544,f24]) ).
fof(f4610,plain,
join(b,sF6) = join(b,meet(a,join(sF0,sF2))),
inference(forward_demodulation,[],[f4592,f6]) ).
fof(f4620,plain,
join(b,sF6) = join(b,meet(a,join(sF0,sF1))),
inference(forward_demodulation,[],[f4610,f4462]) ).
fof(f4625,plain,
join(b,sF6) = join(b,meet(a,sF1)),
inference(forward_demodulation,[],[f4620,f1233]) ).
fof(f4628,plain,
join(b,sF2) = join(b,sF6),
inference(forward_demodulation,[],[f4625,f16]) ).
fof(f4630,plain,
sF1 = join(b,sF6),
inference(forward_demodulation,[],[f4628,f3888]) ).
fof(f4635,plain,
sF6 = meet(sF6,sF1),
inference(superposition,[],[f34,f4630]) ).
fof(f4651,plain,
sF6 = meet(sF1,sF6),
inference(forward_demodulation,[],[f4635,f5]) ).
fof(f4653,plain,
sF2 = sF6,
inference(forward_demodulation,[],[f4651,f3052]) ).
fof(f4654,plain,
$false,
inference(forward_subsumption_resolution,[],[f4653,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT174-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 14:07:09 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 8.10/4.72 % (3556314)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.10/4.72 % (3556331)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3646789108:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.10/4.72 % (3556334)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=134256488:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.10/4.72 % (3556328)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3306726113:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.10/4.72 % (3556330)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4145197767:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.10/4.72 % (3556329)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=526864839:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.10/4.72 % (3556331)Instruction limit reached!
% 8.10/4.72 % (3556331)------------------------------
% 8.10/4.72 % (3556331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/4.72 % (3556331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/4.72 % (3556331)CaDiCaL version: 2.1.3
% 8.10/4.72 % (3556331)Termination reason: Instruction limit
% 8.10/4.72 % (3556331)Termination phase: Saturation
% 8.10/4.72 % (3556331)Time elapsed: 0.069 s
% 8.10/4.72 % (3556331)Peak memory usage: 89 MB
% 8.10/4.72 % (3556331)Instructions burned: 136 (million)
% 8.10/4.72 % (3556332)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1009954803:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.10/4.72 % (3556332)Refutation not found, incomplete strategy
% 8.10/4.72 % (3556332)------------------------------
% 8.10/4.72 % (3556332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/4.72 % (3556332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/4.72 % (3556332)CaDiCaL version: 2.1.3
% 8.10/4.72 % (3556332)Termination reason: Refutation not found, incomplete strategy
% 8.10/4.72 % (3556332)Time elapsed: 0.002 s
% 8.10/4.72 % (3556332)Peak memory usage: 87 MB
% 8.10/4.72 % (3556332)Instructions burned: 1 (million)
% 8.10/4.72 % (3556333)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1450150198:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.10/4.72 % (3556343)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2613854372:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.10/4.72 % (3556333)Instruction limit reached!
% 8.10/4.72 % (3556333)------------------------------
% 8.10/4.72 % (3556333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/4.72 % (3556333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/4.72 % (3556333)CaDiCaL version: 2.1.3
% 8.10/4.72 % (3556333)Termination reason: Instruction limit
% 8.10/4.72 % (3556333)Termination phase: Saturation
% 8.10/4.72 % (3556333)Time elapsed: 0.267 s
% 8.10/4.72 % (3556333)Peak memory usage: 90 MB
% 8.10/4.72 % (3556333)Instructions burned: 258 (million)
% 8.10/4.72 % (3556332)------------------------------
% 8.10/4.72 % (3556332)------------------------------
% 8.10/4.72 % (3556346)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2034391565:i=4948:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/4948Mi)
% 8.10/4.72 % (3556347)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3013364000:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 8.10/4.72 % (3556347)Instruction limit reached!
% 8.10/4.72 % (3556347)------------------------------
% 8.10/4.72 % (3556347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/4.72 % (3556347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/4.72 % (3556347)CaDiCaL version: 2.1.3
% 8.10/4.72 % (3556347)Termination reason: Instruction limit
% 26.94/5.01 % (3556347)Termination phase: Saturation
% 26.94/5.01 % (3556347)Time elapsed: 0.178 s
% 26.94/5.01 % (3556347)Peak memory usage: 89 MB
% 26.94/5.01 % (3556347)Instructions burned: 215 (million)
% 26.94/5.01 % (3556334)Instruction limit reached!
% 26.94/5.01 % (3556334)------------------------------
% 26.94/5.01 % (3556334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.01 % (3556334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.01 % (3556334)CaDiCaL version: 2.1.3
% 26.94/5.01 % (3556334)Termination reason: Instruction limit
% 26.94/5.01 % (3556334)Termination phase: Saturation
% 26.94/5.01 % (3556334)Time elapsed: 0.989 s
% 26.94/5.01 % (3556334)Peak memory usage: 97 MB
% 26.94/5.01 % (3556334)Instructions burned: 1188 (million)
% 26.94/5.01 % (3556350)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=10491238:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 26.94/5.01 % (3556352)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2646906028:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 26.94/5.01 % (3556343)Instruction limit reached!
% 26.94/5.01 % (3556343)------------------------------
% 26.94/5.01 % (3556343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.01 % (3556343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.01 % (3556343)CaDiCaL version: 2.1.3
% 26.94/5.01 % (3556343)Termination reason: Instruction limit
% 26.94/5.01 % (3556343)Termination phase: Saturation
% 26.94/5.01 % (3556343)Time elapsed: 1.131 s
% 26.94/5.01 % (3556343)Peak memory usage: 142 MB
% 26.94/5.01 % (3556343)Instructions burned: 2051 (million)
% 26.94/5.01 % (3556350)Instruction limit reached!
% 26.94/5.01 % (3556350)------------------------------
% 26.94/5.01 % (3556350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.01 % (3556350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.01 % (3556350)CaDiCaL version: 2.1.3
% 26.94/5.01 % (3556350)Termination reason: Instruction limit
% 26.94/5.01 % (3556350)Termination phase: Saturation
% 26.94/5.01 % (3556350)Time elapsed: 0.317 s
% 26.94/5.01 % (3556350)Peak memory usage: 92 MB
% 26.94/5.01 % (3556350)Instructions burned: 317 (million)
% 26.94/5.01 % (3556357)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=748998970:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 26.94/5.01 % (3556358)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=538569764:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 26.94/5.01 % (3556352)First to succeed.
% 26.94/5.01 % (3556352)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3556314"
% 26.94/5.01 % (3556352)Refutation found. Thanks to Tanya!
% 26.94/5.01 % SZS status Unsatisfiable for theBenchmark
% 26.94/5.01 % SZS output start Proof for theBenchmark
% See solution above
% 26.94/5.01 % (3556352)------------------------------
% 26.94/5.01 % (3556352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.01 % (3556352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.01 % (3556352)CaDiCaL version: 2.1.3
% 26.94/5.01 % (3556352)Termination reason: Refutation
% 26.94/5.01 % (3556352)Time elapsed: 1.858 s
% 26.94/5.01 % (3556352)Peak memory usage: 137 MB
% 26.94/5.01 % (3556352)Instructions burned: 1728 (million)
% 26.94/5.01 % (3556352)------------------------------
% 26.94/5.01 % (3556352)------------------------------
% 26.94/5.01 % (3556314)Success in time 3.687 s
% 26.94/5.01 % Vampire exiting
%------------------------------------------------------------------------------