%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP051-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:34:07 PM UTC 2026
% Result : Unsatisfiable 2.96s 1.12s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 14
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-10 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f3,axiom,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f4,axiom,
product(a1,a6) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).
fof(f5,axiom,
product(a2,a7) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).
fof(f6,axiom,
product(a3,a1) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).
fof(f7,axiom,
product(a4,a10) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).
fof(f8,axiom,
product(a5,a9) = a6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).
fof(f9,plain,
a6 = product(a5,a9),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
product(a6,a2) = a7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).
fof(f11,plain,
a7 = product(a6,a2),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).
fof(f13,axiom,
product(a8,a6) = a9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).
fof(f14,plain,
a9 = product(a8,a6),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
product(a9,a4) = a10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).
fof(f16,plain,
a10 = product(a9,a4),
inference(reorient_equations,[],[f15]) ).
fof(f17,axiom,
product(a10,a5) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).
fof(f18,negated_conjecture,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f20,plain,
a1 = product(a2,a6),
inference(superposition,[],[f2,f4]) ).
fof(f21,plain,
a6 = product(a7,a2),
inference(superposition,[],[f2,f11]) ).
fof(f22,plain,
a2 = product(a3,a7),
inference(superposition,[],[f2,f5]) ).
fof(f23,plain,
a7 = product(a8,a3),
inference(superposition,[],[f2,f12]) ).
fof(f27,plain,
a5 = product(a6,a9),
inference(superposition,[],[f2,f9]) ).
fof(f28,plain,
a9 = product(a10,a4),
inference(superposition,[],[f2,f16]) ).
fof(f29,plain,
a8 = product(a9,a6),
inference(superposition,[],[f2,f14]) ).
fof(f34,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[],[f3,f1]) ).
fof(f37,plain,
! [X0] : product(product(a1,X0),a6) = product(a2,product(X0,a6)),
inference(superposition,[],[f3,f4]) ).
fof(f38,plain,
! [X0] : product(product(a6,X0),a2) = product(a7,product(X0,a2)),
inference(superposition,[],[f3,f11]) ).
fof(f41,plain,
! [X0] : product(product(a7,X0),a3) = product(a8,product(X0,a3)),
inference(superposition,[],[f3,f12]) ).
fof(f43,plain,
! [X0] : product(product(a3,X0),a1) = product(a4,product(X0,a1)),
inference(superposition,[],[f3,f6]) ).
fof(f47,plain,
! [X0] : product(product(a5,X0),a9) = product(a6,product(X0,a9)),
inference(superposition,[],[f3,f9]) ).
fof(f49,plain,
! [X0] : product(product(a8,X0),a6) = product(a9,product(X0,a6)),
inference(superposition,[],[f3,f14]) ).
fof(f93,plain,
product(a6,product(a2,a6)) = product(a7,a6),
inference(superposition,[],[f34,f11]) ).
fof(f95,plain,
product(a2,product(a7,a2)) = product(a3,a2),
inference(superposition,[],[f34,f5]) ).
fof(f96,plain,
product(a2,product(a6,a2)) = product(a1,a2),
inference(superposition,[],[f34,f20]) ).
fof(f98,plain,
product(a7,product(a2,a7)) = product(a6,a7),
inference(superposition,[],[f34,f21]) ).
fof(f100,plain,
product(a3,product(a7,a3)) = product(a2,a3),
inference(superposition,[],[f34,f22]) ).
fof(f101,plain,
product(a4,product(a10,a4)) = product(a5,a4),
inference(superposition,[],[f34,f7]) ).
fof(f104,plain,
product(a10,product(a4,a10)) = product(a9,a10),
inference(superposition,[],[f34,f28]) ).
fof(f126,plain,
product(a10,a5) = product(a9,a10),
inference(forward_demodulation,[],[f104,f7]) ).
fof(f128,plain,
product(a5,a4) = product(a4,a9),
inference(forward_demodulation,[],[f101,f28]) ).
fof(f129,plain,
product(a2,a3) = product(a3,a8),
inference(forward_demodulation,[],[f100,f12]) ).
fof(f130,plain,
product(a7,a3) = product(a6,a7),
inference(forward_demodulation,[],[f98,f5]) ).
fof(f132,plain,
product(a2,a7) = product(a1,a2),
inference(forward_demodulation,[],[f96,f11]) ).
fof(f133,plain,
product(a2,a6) = product(a3,a2),
inference(forward_demodulation,[],[f95,f21]) ).
fof(f135,plain,
product(a6,a1) = product(a7,a6),
inference(forward_demodulation,[],[f93,f20]) ).
fof(f137,plain,
a11 = product(a9,a10),
inference(forward_demodulation,[],[f126,f17]) ).
fof(f139,plain,
a8 = product(a6,a7),
inference(forward_demodulation,[],[f130,f12]) ).
fof(f141,plain,
a3 = product(a1,a2),
inference(forward_demodulation,[],[f132,f5]) ).
fof(f142,plain,
a1 = product(a3,a2),
inference(forward_demodulation,[],[f133,f20]) ).
fof(f164,plain,
product(a8,a6) = product(a6,product(a7,a6)),
inference(superposition,[],[f34,f139]) ).
fof(f168,plain,
a9 = product(a6,product(a7,a6)),
inference(forward_demodulation,[],[f164,f14]) ).
fof(f173,plain,
product(a2,product(a2,a6)) = product(a3,a6),
inference(superposition,[],[f37,f141]) ).
fof(f174,plain,
product(a3,a1) = product(a1,product(a2,a1)),
inference(superposition,[],[f34,f141]) ).
fof(f178,plain,
a4 = product(a1,product(a2,a1)),
inference(forward_demodulation,[],[f174,f6]) ).
fof(f179,plain,
product(a2,a1) = product(a3,a6),
inference(forward_demodulation,[],[f173,f20]) ).
fof(f219,plain,
a3 = product(product(a2,a3),a8),
inference(superposition,[],[f2,f129]) ).
fof(f257,plain,
a9 = product(a6,product(a6,a1)),
inference(forward_demodulation,[],[f168,f135]) ).
fof(f262,plain,
a1 = product(a4,product(a2,a1)),
inference(superposition,[],[f2,f178]) ).
fof(f269,plain,
a3 = product(product(a2,a1),a6),
inference(superposition,[],[f2,f179]) ).
fof(f276,plain,
product(a6,a3) = product(a8,product(a2,a3)),
inference(superposition,[],[f41,f21]) ).
fof(f292,plain,
product(a9,a2) = product(a7,product(product(a6,a1),a2)),
inference(superposition,[],[f38,f257]) ).
fof(f298,plain,
product(a9,a2) = product(a7,product(a7,product(a1,a2))),
inference(forward_demodulation,[],[f292,f38]) ).
fof(f300,plain,
product(a9,a2) = product(a7,product(a7,a3)),
inference(forward_demodulation,[],[f298,f141]) ).
fof(f302,plain,
product(a7,a8) = product(a9,a2),
inference(forward_demodulation,[],[f300,f12]) ).
fof(f326,plain,
a9 = product(product(a7,a8),a2),
inference(superposition,[],[f2,f302]) ).
fof(f330,plain,
product(a2,a1) = product(a4,product(a7,a1)),
inference(superposition,[],[f43,f22]) ).
fof(f447,plain,
product(a8,product(product(a2,a3),a8)) = product(product(a6,a3),a8),
inference(superposition,[],[f34,f276]) ).
fof(f452,plain,
product(a8,a3) = product(product(a6,a3),a8),
inference(forward_demodulation,[],[f447,f219]) ).
fof(f454,plain,
a7 = product(product(a6,a3),a8),
inference(forward_demodulation,[],[f452,f23]) ).
fof(f470,plain,
product(a7,a8) = product(a6,a3),
inference(superposition,[],[f2,f454]) ).
fof(f471,plain,
a9 = product(product(a6,a3),a2),
inference(superposition,[],[f326,f470]) ).
fof(f479,plain,
a9 = product(a7,product(a3,a2)),
inference(forward_demodulation,[],[f471,f38]) ).
fof(f482,plain,
a9 = product(a7,a1),
inference(forward_demodulation,[],[f479,f142]) ).
fof(f487,plain,
a7 = product(a9,a1),
inference(superposition,[],[f2,f482]) ).
fof(f493,plain,
product(a2,a1) = product(a4,a9),
inference(forward_demodulation,[],[f330,f482]) ).
fof(f499,plain,
a4 = product(product(a2,a1),a9),
inference(superposition,[],[f2,f493]) ).
fof(f511,plain,
product(product(a4,a9),a9) = product(a6,product(a4,a9)),
inference(superposition,[],[f47,f128]) ).
fof(f526,plain,
product(a6,product(a2,a1)) = product(product(a2,a1),a9),
inference(forward_demodulation,[],[f511,f493]) ).
fof(f529,plain,
a4 = product(a6,product(a2,a1)),
inference(forward_demodulation,[],[f526,f499]) ).
fof(f542,plain,
a6 = product(a4,product(a2,a1)),
inference(superposition,[],[f2,f529]) ).
fof(f562,plain,
a1 = a6,
inference(superposition,[],[f542,f262]) ).
fof(f570,plain,
a2 = product(a6,a6),
inference(superposition,[],[f4,f562]) ).
fof(f584,plain,
a3 = product(product(a2,a6),a6),
inference(superposition,[],[f269,f562]) ).
fof(f603,plain,
a2 = a3,
inference(forward_demodulation,[],[f584,f2]) ).
fof(f611,plain,
a6 = a2,
inference(forward_demodulation,[],[f570,f1]) ).
fof(f760,plain,
product(product(a6,a3),a6) = product(a9,product(product(a2,a3),a6)),
inference(superposition,[],[f49,f276]) ).
fof(f780,plain,
product(product(a6,a2),a6) = product(a9,product(product(a2,a2),a6)),
inference(forward_demodulation,[],[f760,f603]) ).
fof(f785,plain,
product(product(a6,a2),a6) = product(a9,product(a2,a6)),
inference(forward_demodulation,[],[f780,f1]) ).
fof(f789,plain,
product(product(a6,a2),a6) = product(a9,a1),
inference(forward_demodulation,[],[f785,f20]) ).
fof(f793,plain,
a7 = product(product(a6,a2),a6),
inference(forward_demodulation,[],[f789,f487]) ).
fof(f794,plain,
a7 = product(a6,product(a2,a6)),
inference(forward_demodulation,[],[f793,f34]) ).
fof(f795,plain,
a7 = product(a6,a1),
inference(forward_demodulation,[],[f794,f20]) ).
fof(f796,plain,
a7 = product(a6,a6),
inference(forward_demodulation,[],[f795,f562]) ).
fof(f797,plain,
a6 = a7,
inference(forward_demodulation,[],[f796,f1]) ).
fof(f798,plain,
a3 = product(a2,a6),
inference(superposition,[],[f5,f797]) ).
fof(f800,plain,
tuple(a1,a6,a5,a2,a6,a3,a4,a9,a10,a8) != tuple(a2,a6,a6,a3,a8,a4,a5,a10,a11,a9),
inference(superposition,[],[f18,f797]) ).
fof(f806,plain,
a8 = product(a6,a6),
inference(superposition,[],[f139,f797]) ).
fof(f821,plain,
a6 = a8,
inference(forward_demodulation,[],[f806,f1]) ).
fof(f827,plain,
tuple(a2,a6,a6,a2,a8,a4,a5,a10,a11,a9) != tuple(a1,a6,a5,a2,a6,a2,a4,a9,a10,a8),
inference(forward_demodulation,[],[f800,f603]) ).
fof(f829,plain,
a3 = product(a6,a6),
inference(forward_demodulation,[],[f798,f611]) ).
fof(f839,plain,
tuple(a6,a6,a6,a6,a8,a4,a5,a10,a11,a9) != tuple(a1,a6,a5,a6,a6,a6,a4,a9,a10,a8),
inference(forward_demodulation,[],[f827,f611]) ).
fof(f841,plain,
a6 = a3,
inference(forward_demodulation,[],[f829,f1]) ).
fof(f845,plain,
tuple(a6,a6,a6,a6,a8,a4,a5,a10,a11,a9) != tuple(a6,a6,a5,a6,a6,a6,a4,a9,a10,a8),
inference(forward_demodulation,[],[f839,f562]) ).
fof(f853,plain,
a9 = product(a6,a6),
inference(superposition,[],[f14,f821]) ).
fof(f870,plain,
tuple(a6,a6,a6,a6,a6,a4,a5,a10,a11,a9) != tuple(a6,a6,a5,a6,a6,a6,a4,a9,a10,a6),
inference(superposition,[],[f845,f821]) ).
fof(f887,plain,
a6 = a9,
inference(forward_demodulation,[],[f853,f1]) ).
fof(f912,plain,
a4 = product(a6,a1),
inference(superposition,[],[f6,f841]) ).
fof(f942,plain,
a4 = product(a6,a6),
inference(forward_demodulation,[],[f912,f562]) ).
fof(f957,plain,
a6 = a4,
inference(forward_demodulation,[],[f942,f1]) ).
fof(f970,plain,
a5 = product(a6,a6),
inference(superposition,[],[f27,f887]) ).
fof(f999,plain,
a6 = a5,
inference(forward_demodulation,[],[f970,f1]) ).
fof(f1024,plain,
a10 = product(a9,a6),
inference(superposition,[],[f16,f957]) ).
fof(f1045,plain,
tuple(a6,a6,a6,a6,a6,a6,a5,a10,a11,a9) != tuple(a6,a6,a5,a6,a6,a6,a6,a9,a10,a6),
inference(superposition,[],[f870,f957]) ).
fof(f1047,plain,
tuple(a6,a6,a6,a6,a6,a6,a5,a10,a11,a6) != tuple(a6,a6,a5,a6,a6,a6,a6,a6,a10,a6),
inference(forward_demodulation,[],[f1045,f887]) ).
fof(f1066,plain,
a10 = product(a6,a6),
inference(forward_demodulation,[],[f1024,f887]) ).
fof(f1083,plain,
a6 = a10,
inference(forward_demodulation,[],[f1066,f1]) ).
fof(f1199,plain,
a11 = product(a9,a6),
inference(superposition,[],[f137,f1083]) ).
fof(f1207,plain,
tuple(a6,a6,a6,a6,a6,a6,a5,a6,a11,a6) != tuple(a6,a6,a5,a6,a6,a6,a6,a6,a6,a6),
inference(superposition,[],[f1047,f1083]) ).
fof(f1209,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a11,a6) != tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(forward_demodulation,[],[f1207,f999]) ).
fof(f1217,plain,
a8 = a11,
inference(forward_demodulation,[],[f1199,f29]) ).
fof(f1231,plain,
a6 = a11,
inference(forward_demodulation,[],[f1217,f821]) ).
fof(f1321,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) != tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(superposition,[],[f1209,f1231]) ).
fof(f1323,plain,
$false,
inference(trivial_inequality_removal,[],[f1321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP051-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:11:38 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.96/1.12 % (2921493)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.96/1.12 % (2921501)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3849134669:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.96/1.12 % (2921498)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=375741836:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.96/1.12 % (2921504)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1938894490:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.96/1.12 % (2921502)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2015904018:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.96/1.12 % (2921499)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=2808993907:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.96/1.12 % (2921500)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2267674090:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.96/1.12 % (2921502)Refutation not found, incomplete strategy
% 2.96/1.12 % (2921502)------------------------------
% 2.96/1.12 % (2921502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (2921502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (2921502)CaDiCaL version: 2.1.3
% 2.96/1.12 % (2921502)Termination reason: Refutation not found, incomplete strategy
% 2.96/1.12 % (2921502)Time elapsed: 0.002 s
% 2.96/1.12 % (2921502)Peak memory usage: 87 MB
% 2.96/1.12 % (2921502)Instructions burned: 1 (million)
% 2.96/1.12 % (2921501)Instruction limit reached!
% 2.96/1.12 % (2921501)------------------------------
% 2.96/1.12 % (2921501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (2921501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (2921501)CaDiCaL version: 2.1.3
% 2.96/1.12 % (2921501)Termination reason: Instruction limit
% 2.96/1.12 % (2921501)Termination phase: Saturation
% 2.96/1.12 % (2921501)Time elapsed: 0.042 s
% 2.96/1.12 % (2921501)Peak memory usage: 88 MB
% 2.96/1.12 % (2921501)Instructions burned: 139 (million)
% 2.96/1.12 % (2921503)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2276260475:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.96/1.12 % (2921504)First to succeed.
% 2.96/1.12 % (2921504)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2921493"
% 2.96/1.12 % (2921511)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2386790601:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 2.96/1.12 % (2921503)Instruction limit reached!
% 2.96/1.12 % (2921503)------------------------------
% 2.96/1.12 % (2921503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (2921503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (2921503)CaDiCaL version: 2.1.3
% 2.96/1.12 % (2921503)Termination reason: Instruction limit
% 2.96/1.12 % (2921503)Termination phase: Saturation
% 2.96/1.12 % (2921503)Time elapsed: 0.176 s
% 2.96/1.12 % (2921503)Peak memory usage: 90 MB
% 2.96/1.12 % (2921503)Instructions burned: 258 (million)
% 2.96/1.12 % (2921502)------------------------------
% 2.96/1.12 % (2921502)------------------------------
% 2.96/1.12 % (2921504)Refutation found. Thanks to Tanya!
% 2.96/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.96/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.32 % (2921504)------------------------------
% 3.85/1.32 % (2921504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.32 % (2921504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.32 % (2921504)CaDiCaL version: 2.1.3
% 3.85/1.32 % (2921504)Termination reason: Refutation
% 3.85/1.32 % (2921504)Time elapsed: 0.024 s
% 3.85/1.32 % (2921504)Peak memory usage: 88 MB
% 3.85/1.32 % (2921504)Instructions burned: 44 (million)
% 3.85/1.32 % (2921504)------------------------------
% 3.85/1.32 % (2921504)------------------------------
% 3.85/1.32 % (2921493)Success in time 0.446 s
% 3.85/1.32 % Vampire exiting
%------------------------------------------------------------------------------