%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT224-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:46:18 AM UTC 2026
% Result : Unsatisfiable 10.92s 2.78s
% Output : Refutation 12.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f8,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f9,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f10,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f11,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f12,axiom,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X0,X1),zero,complement(X0),X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f13,axiom,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X0,meet(X1,X2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H8) ).
fof(f14,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f15,plain,
a = meet(b,a),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f17,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
complement(a) != join(complement(a),complement(b)),
inference(backward_demodulation,[],[f17,f7]) ).
fof(f19,plain,
a = meet(a,b),
inference(backward_demodulation,[],[f15,f6]) ).
fof(f22,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f24,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f4,f7]) ).
fof(f27,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f5,f6]) ).
fof(f35,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f9,f5]) ).
fof(f43,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f10]) ).
fof(f48,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f7,f9]) ).
fof(f52,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f65,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f66,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f8,f24]) ).
fof(f75,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f8,f11]) ).
fof(f92,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,one),
inference(superposition,[],[f35,f10]) ).
fof(f121,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X1,X0))) = join(meet(X1,X2),meet(X1,join(X2,meet(X0,join(meet(X2,X0),X1))))),
inference(superposition,[],[f13,f7]) ).
fof(f171,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f7,f52]) ).
fof(f230,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = join(meet(join(X1,X2),X0),meet(X1,X0)),
inference(superposition,[],[f27,f65]) ).
fof(f235,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = join(meet(X1,X0),meet(join(X1,X2),X0)),
inference(forward_demodulation,[],[f230,f7]) ).
fof(f248,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X1,X0))),
inference(superposition,[],[f92,f6]) ).
fof(f253,plain,
! [X0] : join(X0,complement(X0)) = join(X0,one),
inference(superposition,[],[f92,f24]) ).
fof(f267,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[],[f253,f10]) ).
fof(f271,plain,
! [X0,X1] : one = join(X0,complement(meet(X1,X0))),
inference(backward_demodulation,[],[f248,f267]) ).
fof(f273,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f92,f267]) ).
fof(f285,plain,
one = join(b,complement(a)),
inference(superposition,[],[f271,f19]) ).
fof(f340,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f6,f22]) ).
fof(f366,plain,
zero = complement(one),
inference(superposition,[],[f340,f11]) ).
fof(f518,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(one,one,ifeq(meet(X0,join(X1,complement(join(X0,X1)))),zero,complement(X0),join(X1,complement(join(X0,X1)))),join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f12,f43]) ).
fof(f525,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(meet(X0,join(X1,complement(join(X0,X1)))),zero,complement(X0),join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f518,f1]) ).
fof(f1044,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),join(X0,meet(X1,one)))),
inference(superposition,[],[f121,f10]) ).
fof(f1071,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),join(X0,X1))),
inference(forward_demodulation,[],[f1044,f22]) ).
fof(f1099,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = join(meet(complement(meet(X0,X1)),X0),meet(join(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f1071,f6]) ).
fof(f1120,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = join(meet(X0,complement(meet(X0,X1))),meet(join(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f1099,f6]) ).
fof(f1131,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = meet(join(X0,X1),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f1120,f235]) ).
fof(f1137,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(X0,meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1131,f6]) ).
fof(f1172,plain,
! [X0,X1] : join(X0,meet(X1,complement(meet(X0,X1)))) = join(join(X0,meet(X1,complement(meet(X0,X1)))),meet(join(X0,X1),complement(meet(X0,X1)))),
inference(superposition,[],[f27,f1137]) ).
fof(f1182,plain,
! [X0,X1] : join(X0,meet(X1,complement(meet(X0,X1)))) = join(meet(join(X0,X1),complement(meet(X0,X1))),join(X0,meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1172,f7]) ).
fof(f1202,plain,
! [X0,X1] : join(X0,meet(X1,complement(meet(X0,X1)))) = join(X0,join(meet(X1,complement(meet(X0,X1))),meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1182,f48]) ).
fof(f1745,plain,
! [X2,X0,X1] : meet(join(X2,X1),X0) = join(meet(join(X2,X1),X0),meet(X1,X0)),
inference(superposition,[],[f27,f66]) ).
fof(f1763,plain,
! [X2,X0,X1] : meet(join(X2,X1),X0) = join(meet(X1,X0),meet(join(X2,X1),X0)),
inference(forward_demodulation,[],[f1745,f7]) ).
fof(f1789,plain,
! [X0,X1] : join(X0,meet(X1,complement(meet(X0,X1)))) = join(X0,meet(join(X0,X1),complement(meet(X0,X1)))),
inference(backward_demodulation,[],[f1202,f1763]) ).
fof(f1840,plain,
join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(b,meet(one,complement(meet(b,complement(a))))),
inference(superposition,[],[f1789,f285]) ).
fof(f1884,plain,
join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(b,complement(meet(b,complement(a)))),
inference(forward_demodulation,[],[f1840,f340]) ).
fof(f1918,plain,
one = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f1884,f273]) ).
fof(f3275,plain,
join(meet(complement(a),complement(meet(b,complement(a)))),complement(one)) = ifeq(meet(b,join(meet(complement(a),complement(meet(b,complement(a)))),complement(one))),zero,complement(b),join(meet(complement(a),complement(meet(b,complement(a)))),complement(one))),
inference(superposition,[],[f525,f1918]) ).
fof(f3279,plain,
join(complement(one),meet(complement(a),complement(meet(b,complement(a))))) = ifeq(meet(b,join(complement(one),meet(complement(a),complement(meet(b,complement(a)))))),zero,complement(b),join(complement(one),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f3275,f7]) ).
fof(f3298,plain,
join(zero,meet(complement(a),complement(meet(b,complement(a))))) = ifeq(meet(b,join(zero,meet(complement(a),complement(meet(b,complement(a)))))),zero,complement(b),join(zero,meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f3279,f366]) ).
fof(f3312,plain,
meet(complement(a),complement(meet(b,complement(a)))) = ifeq(meet(b,meet(complement(a),complement(meet(b,complement(a))))),zero,complement(b),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3298,f171]) ).
fof(f3319,plain,
meet(complement(a),complement(meet(b,complement(a)))) = ifeq(zero,zero,complement(b),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3312,f75]) ).
fof(f3321,plain,
complement(b) = meet(complement(a),complement(meet(b,complement(a)))),
inference(forward_demodulation,[],[f3319,f1]) ).
fof(f3330,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f5,f3321]) ).
fof(f3364,plain,
$false,
inference(forward_subsumption_resolution,[],[f3330,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT224-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n003.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
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 14:08:40 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 10.92/2.78 % (558654)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.92/2.78 % (558662)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1113917574:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.92/2.78 % (558661)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1455575318:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.92/2.78 % (558659)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=513473570:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.92/2.78 % (558660)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=1772395458:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.92/2.78 % (558662)Instruction limit reached!
% 10.92/2.78 % (558662)------------------------------
% 10.92/2.78 % (558662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.78 % (558662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.78 % (558662)CaDiCaL version: 2.1.3
% 10.92/2.78 % (558662)Termination reason: Instruction limit
% 10.92/2.78 % (558662)Termination phase: Saturation
% 10.92/2.78 % (558662)Time elapsed: 0.073 s
% 10.92/2.78 % (558662)Peak memory usage: 89 MB
% 10.92/2.78 % (558662)Instructions burned: 138 (million)
% 10.92/2.78 % (558663)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2536837535:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.92/2.78 % (558664)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1567018491:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.92/2.78 % (558665)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3386445434:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.92/2.78 % (558663)Instruction limit reached!
% 10.92/2.78 % (558663)------------------------------
% 10.92/2.78 % (558663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.78 % (558663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.78 % (558663)CaDiCaL version: 2.1.3
% 10.92/2.78 % (558663)Termination reason: Instruction limit
% 10.92/2.78 % (558663)Termination phase: Saturation
% 10.92/2.78 % (558663)Time elapsed: 0.171 s
% 10.92/2.78 % (558663)Peak memory usage: 89 MB
% 10.92/2.78 % (558663)Instructions burned: 182 (million)
% 10.92/2.78 % (558670)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=762470793:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.92/2.78 % (558664)Instruction limit reached!
% 10.92/2.78 % (558664)------------------------------
% 10.92/2.78 % (558664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.78 % (558664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.78 % (558664)CaDiCaL version: 2.1.3
% 10.92/2.78 % (558664)Termination reason: Instruction limit
% 10.92/2.78 % (558664)Termination phase: Saturation
% 10.92/2.78 % (558664)Time elapsed: 0.262 s
% 10.92/2.78 % (558664)Peak memory usage: 90 MB
% 10.92/2.78 % (558664)Instructions burned: 257 (million)
% 10.92/2.78 % (558674)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=349868384:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 10.92/2.78 % (558676)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1857633102:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 10.92/2.78 % (558676)Instruction limit reached!
% 10.92/2.78 % (558676)------------------------------
% 10.92/2.78 % (558676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.78 % (558676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.78 % (558676)CaDiCaL version: 2.1.3
% 10.92/2.78 % (558676)Termination reason: Instruction limit
% 10.92/2.78 % (558676)Termination phase: Saturation
% 10.92/2.78 % (558676)Time elapsed: 0.185 s
% 10.92/2.78 % (558676)Peak memory usage: 92 MB
% 10.92/2.78 % (558676)Instructions burned: 215 (million)
% 10.92/2.78 % (558665)Instruction limit reached!
% 10.92/2.78 % (558665)------------------------------
% 10.92/2.78 % (558665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.78 % (558665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.78 % (558665)CaDiCaL version: 2.1.3
% 10.92/2.78 % (558665)Termination reason: Instruction limit
% 10.92/2.78 % (558665)Termination phase: Saturation
% 10.92/2.78 % (558665)Time elapsed: 1.029 s
% 10.92/2.78 % (558665)Peak memory usage: 101 MB
% 10.92/2.78 % (558665)Instructions burned: 1190 (million)
% 10.92/2.78 % (558670)First to succeed.
% 10.92/2.78 % (558670)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-558654"
% 10.92/2.78 % (558679)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=1694932492: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)
% 10.92/2.78 % (558680)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=299484632:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 10.92/2.78 % (558670)Refutation found. Thanks to Tanya!
% 10.92/2.78 % SZS status Unsatisfiable for theBenchmark
% 10.92/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 12.23/2.97 % (558670)------------------------------
% 12.23/2.97 % (558670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.97 % (558670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.97 % (558670)CaDiCaL version: 2.1.3
% 12.23/2.97 % (558670)Termination reason: Refutation
% 12.23/2.97 % (558670)Time elapsed: 0.829 s
% 12.23/2.97 % (558670)Peak memory usage: 135 MB
% 12.23/2.97 % (558670)Instructions burned: 1472 (million)
% 12.23/2.97 % (558670)------------------------------
% 12.23/2.97 % (558670)------------------------------
% 12.23/2.97 % (558654)Success in time 1.604 s
% 12.23/2.97 % Vampire exiting
%------------------------------------------------------------------------------