%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG030-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:07:48 AM UTC 2026
% Result : Unsatisfiable 3.56s 1.23s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 61 unt; 1 def)
% Number of atoms : 61 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0,X1] : ifeq(sorti1(X0),true,ifeq(sorti1(X1),true,sorti1(op1(X1,X0)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f4,plain,
! [X0,X1] : true = ifeq(sorti1(X0),true,ifeq(sorti1(X1),true,sorti1(op1(X1,X0)),true),true),
inference(reorient_equations,[],[f3]) ).
fof(f7,axiom,
op1(sK2_ax3_U,sK1_ax3_V) != op1(sK1_ax3_V,sK2_ax3_U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_2) ).
fof(f8,axiom,
sorti1(sK1_ax3_V) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_1) ).
fof(f9,plain,
true = sorti1(sK1_ax3_V),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
sorti1(sK2_ax3_U) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f11,plain,
true = sorti1(sK2_ax3_U),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] : ifeq2(sorti2(X0),true,ifeq2(sorti2(X1),true,op2(X1,X0),op2(X0,X1)),op2(X0,X1)) = op2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f13,plain,
! [X0,X1] : op2(X0,X1) = ifeq2(sorti2(X0),true,ifeq2(sorti2(X1),true,op2(X1,X0),op2(X0,X1)),op2(X0,X1)),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
! [X0] : ifeq(sorti1(X0),true,sorti2(h(X0)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f15,plain,
! [X0] : true = ifeq(sorti1(X0),true,sorti2(h(X0)),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
! [X0,X1] : ifeq2(sorti1(X0),true,ifeq2(sorti1(X1),true,op2(h(X1),h(X0)),h(op1(X1,X0))),h(op1(X1,X0))) = h(op1(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f17,plain,
! [X0,X1] : h(op1(X1,X0)) = ifeq2(sorti1(X0),true,ifeq2(sorti1(X1),true,op2(h(X1),h(X0)),h(op1(X1,X0))),h(op1(X1,X0))),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
! [X0] : ifeq2(sorti1(X0),true,j(h(X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f21,negated_conjecture,
! [X0,X1] : ifeq2(sorti2(X0),true,ifeq2(sorti2(X1),true,op1(j(X1),j(X0)),j(op2(X1,X0))),j(op2(X1,X0))) = j(op2(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f22,plain,
! [X0,X1] : j(op2(X1,X0)) = ifeq2(sorti2(X0),true,ifeq2(sorti2(X1),true,op1(j(X1),j(X0)),j(op2(X1,X0))),j(op2(X1,X0))),
inference(reorient_equations,[],[f21]) ).
fof(f24,definition,
~ sP0(op1(sK2_ax3_U,sK1_ax3_V)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f25,plain,
sP0(op1(sK1_ax3_V,sK2_ax3_U)),
inference(inequality_splitting,[],[f7,f24]) ).
fof(f26,plain,
! [X0,X1] : op2(X0,X1) = ifeq2(sorti2(X0),sorti1(sK2_ax3_U),ifeq2(sorti2(X1),sorti1(sK2_ax3_U),op2(X1,X0),op2(X0,X1)),op2(X0,X1)),
inference(backward_demodulation,[],[f13,f11]) ).
fof(f27,plain,
! [X0] : sorti1(sK2_ax3_U) = ifeq(sorti1(X0),sorti1(sK2_ax3_U),sorti2(h(X0)),sorti1(sK2_ax3_U)),
inference(backward_demodulation,[],[f15,f11]) ).
fof(f28,plain,
! [X0,X1] : h(op1(X1,X0)) = ifeq2(sorti1(X0),sorti1(sK2_ax3_U),ifeq2(sorti1(X1),sorti1(sK2_ax3_U),op2(h(X1),h(X0)),h(op1(X1,X0))),h(op1(X1,X0))),
inference(backward_demodulation,[],[f17,f11]) ).
fof(f29,plain,
! [X0] : ifeq2(sorti1(X0),sorti1(sK2_ax3_U),j(h(X0)),X0) = X0,
inference(backward_demodulation,[],[f18,f11]) ).
fof(f31,plain,
! [X0,X1] : j(op2(X1,X0)) = ifeq2(sorti2(X0),sorti1(sK2_ax3_U),ifeq2(sorti2(X1),sorti1(sK2_ax3_U),op1(j(X1),j(X0)),j(op2(X1,X0))),j(op2(X1,X0))),
inference(backward_demodulation,[],[f22,f11]) ).
fof(f33,plain,
sorti1(sK1_ax3_V) = sorti1(sK2_ax3_U),
inference(forward_demodulation,[],[f9,f11]) ).
fof(f35,plain,
! [X0,X1] : sorti1(sK2_ax3_U) = ifeq(sorti1(X0),sorti1(sK2_ax3_U),ifeq(sorti1(X1),sorti1(sK2_ax3_U),sorti1(op1(X1,X0)),sorti1(sK2_ax3_U)),sorti1(sK2_ax3_U)),
inference(forward_demodulation,[],[f4,f11]) ).
fof(f36,plain,
! [X0] : h(op1(sK1_ax3_V,X0)) = ifeq2(sorti1(X0),sorti1(sK2_ax3_U),ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),op2(h(sK1_ax3_V),h(X0)),h(op1(sK1_ax3_V,X0))),h(op1(sK1_ax3_V,X0))),
inference(superposition,[],[f28,f33]) ).
fof(f37,plain,
! [X0] : h(op1(X0,sK1_ax3_V)) = ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),ifeq2(sorti1(X0),sorti1(sK2_ax3_U),op2(h(X0),h(sK1_ax3_V)),h(op1(X0,sK1_ax3_V))),h(op1(X0,sK1_ax3_V))),
inference(superposition,[],[f28,f33]) ).
fof(f38,plain,
sorti1(sK2_ax3_U) = ifeq(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U)),
inference(superposition,[],[f27,f33]) ).
fof(f39,plain,
sK1_ax3_V = ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),j(h(sK1_ax3_V)),sK1_ax3_V),
inference(superposition,[],[f29,f33]) ).
fof(f40,plain,
sK1_ax3_V = j(h(sK1_ax3_V)),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f41,plain,
sorti1(sK2_ax3_U) = sorti2(h(sK1_ax3_V)),
inference(forward_demodulation,[],[f38,f2]) ).
fof(f42,plain,
! [X0] : h(op1(X0,sK1_ax3_V)) = ifeq2(sorti1(X0),sorti1(sK2_ax3_U),op2(h(X0),h(sK1_ax3_V)),h(op1(X0,sK1_ax3_V))),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f43,plain,
! [X0] : h(op1(sK1_ax3_V,X0)) = ifeq2(sorti1(X0),sorti1(sK2_ax3_U),op2(h(sK1_ax3_V),h(X0)),h(op1(sK1_ax3_V,X0))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f59,plain,
sK2_ax3_U = j(h(sK2_ax3_U)),
inference(superposition,[],[f29,f1]) ).
fof(f68,plain,
sorti1(sK2_ax3_U) = sorti2(h(sK2_ax3_U)),
inference(superposition,[],[f27,f2]) ).
fof(f108,plain,
! [X0] : sorti1(sK2_ax3_U) = ifeq(sorti1(X0),sorti1(sK2_ax3_U),ifeq(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),sorti1(op1(sK1_ax3_V,X0)),sorti1(sK2_ax3_U)),sorti1(sK2_ax3_U)),
inference(superposition,[],[f35,f33]) ).
fof(f112,plain,
! [X0] : sorti1(sK2_ax3_U) = ifeq(sorti1(X0),sorti1(sK2_ax3_U),sorti1(op1(sK1_ax3_V,X0)),sorti1(sK2_ax3_U)),
inference(forward_demodulation,[],[f108,f2]) ).
fof(f155,plain,
op2(h(sK2_ax3_U),h(sK1_ax3_V)) = h(op1(sK2_ax3_U,sK1_ax3_V)),
inference(superposition,[],[f1,f42]) ).
fof(f181,plain,
op2(h(sK1_ax3_V),h(sK2_ax3_U)) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(superposition,[],[f1,f43]) ).
fof(f291,plain,
op2(h(sK1_ax3_V),h(sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti2(h(sK2_ax3_U)),sorti1(sK2_ax3_U),h(op1(sK2_ax3_U,sK1_ax3_V)),op2(h(sK1_ax3_V),h(sK2_ax3_U))),op2(h(sK1_ax3_V),h(sK2_ax3_U))),
inference(superposition,[],[f26,f155]) ).
fof(f293,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti2(h(sK2_ax3_U)),sorti1(sK2_ax3_U),op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(superposition,[],[f31,f155]) ).
fof(f294,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti2(h(sK2_ax3_U)),sorti1(sK2_ax3_U),op1(j(h(sK2_ax3_U)),sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(forward_demodulation,[],[f293,f40]) ).
fof(f296,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti2(h(sK2_ax3_U)),sorti1(sK2_ax3_U),h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[],[f291,f181]) ).
fof(f300,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti2(h(sK2_ax3_U)),sorti1(sK2_ax3_U),op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(forward_demodulation,[],[f294,f59]) ).
fof(f302,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[],[f296,f68]) ).
fof(f305,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(forward_demodulation,[],[f300,f68]) ).
fof(f307,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f309,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK1_ax3_V)),sorti1(sK2_ax3_U),op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(forward_demodulation,[],[f305,f1]) ).
fof(f311,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[],[f307,f41]) ).
fof(f313,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(forward_demodulation,[],[f309,f41]) ).
fof(f314,plain,
h(op1(sK2_ax3_U,sK1_ax3_V)) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f311,f1]) ).
fof(f316,plain,
op1(sK2_ax3_U,sK1_ax3_V) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(forward_demodulation,[],[f313,f1]) ).
fof(f383,plain,
sorti1(sK2_ax3_U) = sorti1(op1(sK1_ax3_V,sK2_ax3_U)),
inference(superposition,[],[f2,f112]) ).
fof(f431,plain,
op1(sK1_ax3_V,sK2_ax3_U) = ifeq2(sorti1(op1(sK1_ax3_V,sK2_ax3_U)),sorti1(sK2_ax3_U),j(h(op1(sK2_ax3_U,sK1_ax3_V))),op1(sK1_ax3_V,sK2_ax3_U)),
inference(superposition,[],[f29,f314]) ).
fof(f440,plain,
op1(sK1_ax3_V,sK2_ax3_U) = ifeq2(sorti1(op1(sK1_ax3_V,sK2_ax3_U)),sorti1(sK2_ax3_U),op1(sK2_ax3_U,sK1_ax3_V),op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f431,f316]) ).
fof(f451,plain,
op1(sK1_ax3_V,sK2_ax3_U) = ifeq2(sorti1(sK2_ax3_U),sorti1(sK2_ax3_U),op1(sK2_ax3_U,sK1_ax3_V),op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f440,f383]) ).
fof(f461,plain,
op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f463,plain,
sP0(op1(sK2_ax3_U,sK1_ax3_V)),
inference(backward_demodulation,[],[f25,f461]) ).
fof(f467,plain,
$false,
inference(forward_subsumption_resolution,[],[f463,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG030-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 19:21:40 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 3.56/1.23 % (3686381)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.56/1.23 % (3686390)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2855088083:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.56/1.23 % (3686388)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3051849980:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.56/1.23 % (3686389)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4242484607:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.56/1.23 % (3686386)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=733363028:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.56/1.23 % (3686387)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=2476952623:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.56/1.23 % (3686392)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1225223186:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.56/1.23 % (3686391)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3469041759:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.56/1.23 % (3686390)Instruction limit reached!
% 3.56/1.23 % (3686390)------------------------------
% 3.56/1.23 % (3686390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.23 % (3686390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.23 % (3686390)CaDiCaL version: 2.1.3
% 3.56/1.23 % (3686390)Termination reason: Instruction limit
% 3.56/1.23 % (3686390)Termination phase: Saturation
% 3.56/1.23 % (3686390)Time elapsed: 0.053 s
% 3.56/1.23 % (3686390)Peak memory usage: 90 MB
% 3.56/1.23 % (3686390)Instructions burned: 184 (million)
% 3.56/1.23 % (3686389)First to succeed.
% 3.56/1.23 % (3686389)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3686381"
% 3.56/1.23 % (3686392)Also succeeded, but the first one will report.
% 3.56/1.23 % (3686391)Also succeeded, but the first one will report.
% 3.56/1.23 % (3686400)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1568783829:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 3.56/1.23 % (3686389)Refutation found. Thanks to Tanya!
% 3.56/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.32 % (3686389)------------------------------
% 3.64/1.32 % (3686389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.32 % (3686389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.32 % (3686389)CaDiCaL version: 2.1.3
% 3.64/1.32 % (3686389)Termination reason: Refutation
% 3.64/1.32 % (3686389)Time elapsed: 0.017 s
% 3.64/1.32 % (3686389)Peak memory usage: 88 MB
% 3.64/1.32 % (3686389)Instructions burned: 28 (million)
% 3.64/1.32 % (3686389)------------------------------
% 3.64/1.32 % (3686389)------------------------------
% 3.64/1.32 % (3686381)Success in time 0.585 s
% 3.64/1.32 % Vampire exiting
%------------------------------------------------------------------------------