%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP201-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:13:19 AM UTC 2026
% Result : Unsatisfiable 5.89s 1.99s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_left_division) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_division_multiply) ).
fof(f5,axiom,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_right_division) ).
fof(f6,axiom,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_division_multiply) ).
fof(f7,axiom,
! [X0] : multiply(X0,right_inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f8,plain,
! [X0] : identity = multiply(X0,right_inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(left_inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f10,plain,
! [X0] : identity = multiply(left_inverse(X0),X0),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),X1) = multiply(X0,multiply(X1,multiply(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang2) ).
fof(f12,negated_conjecture,
multiply(multiply(multiply(a,b),a),c) != multiply(a,multiply(b,multiply(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang3) ).
fof(f13,plain,
! [X0,X1] : multiply(identity,multiply(X0,multiply(X1,X0))) = multiply(multiply(X0,X1),X0),
inference(superposition,[],[f11,f1]) ).
fof(f16,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f17,plain,
multiply(a,multiply(b,multiply(a,c))) != multiply(multiply(a,multiply(b,a)),c),
inference(backward_demodulation,[],[f12,f16]) ).
fof(f31,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(identity,X1))) = multiply(multiply(X0,X1),X1),
inference(superposition,[],[f11,f2]) ).
fof(f32,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f42,plain,
! [X0] : multiply(identity,X0) = multiply(left_inverse(X0),multiply(X0,X0)),
inference(superposition,[],[f32,f10]) ).
fof(f46,plain,
! [X0] : multiply(left_inverse(X0),multiply(X0,X0)) = X0,
inference(forward_demodulation,[],[f42,f1]) ).
fof(f66,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(right_division(X1,X2),multiply(X2,multiply(X0,X2))),
inference(superposition,[],[f11,f5]) ).
fof(f74,plain,
! [X2,X0,X1] : multiply(multiply(X2,right_division(X1,X0)),X0) = multiply(right_division(X2,X0),multiply(X0,X1)),
inference(superposition,[],[f66,f5]) ).
fof(f76,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = multiply(right_division(X1,X0),multiply(X0,identity)),
inference(superposition,[],[f66,f10]) ).
fof(f79,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X0)) = left_division(right_division(X2,X0),multiply(multiply(X2,X1),X0)),
inference(superposition,[],[f4,f66]) ).
fof(f81,plain,
! [X0,X1] : multiply(right_division(X1,X0),X0) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(forward_demodulation,[],[f76,f2]) ).
fof(f84,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f81,f5]) ).
fof(f88,plain,
! [X0,X1] : multiply(X0,left_inverse(X1)) = multiply(multiply(X0,multiply(left_inverse(X1),left_inverse(X1))),X1),
inference(superposition,[],[f84,f32]) ).
fof(f91,plain,
! [X0,X1] : multiply(X1,X0) = right_division(X1,left_inverse(X0)),
inference(superposition,[],[f84,f5]) ).
fof(f92,plain,
! [X0] : multiply(identity,X0) = left_inverse(left_inverse(X0)),
inference(superposition,[],[f84,f10]) ).
fof(f99,plain,
! [X2,X0,X1] : multiply(right_division(X2,X0),multiply(X0,X1)) = multiply(multiply(X2,multiply(X1,left_inverse(X0))),X0),
inference(superposition,[],[f66,f84]) ).
fof(f111,plain,
! [X0] : left_inverse(left_inverse(X0)) = X0,
inference(forward_demodulation,[],[f92,f1]) ).
fof(f113,plain,
! [X0,X1] : multiply(X0,left_inverse(X1)) = multiply(right_division(X0,X1),multiply(X1,left_inverse(X1))),
inference(forward_demodulation,[],[f88,f99]) ).
fof(f115,plain,
! [X0,X1] : multiply(multiply(X0,X1),left_inverse(X1)) = X0,
inference(superposition,[],[f5,f91]) ).
fof(f118,plain,
! [X0] : multiply(X0,left_inverse(X0)) = multiply(left_inverse(X0),multiply(multiply(X0,X0),left_inverse(X0))),
inference(superposition,[],[f16,f46]) ).
fof(f124,plain,
! [X0] : multiply(left_inverse(X0),X0) = multiply(X0,left_inverse(X0)),
inference(forward_demodulation,[],[f118,f115]) ).
fof(f126,plain,
! [X0] : identity = multiply(X0,left_inverse(X0)),
inference(forward_demodulation,[],[f124,f10]) ).
fof(f128,plain,
! [X0,X1] : multiply(X0,left_inverse(X1)) = multiply(right_division(X0,X1),identity),
inference(backward_demodulation,[],[f113,f126]) ).
fof(f130,plain,
! [X0,X1] : right_division(X0,X1) = multiply(X0,left_inverse(X1)),
inference(forward_demodulation,[],[f128,f2]) ).
fof(f139,plain,
! [X0] : identity = right_division(X0,X0),
inference(backward_demodulation,[],[f126,f130]) ).
fof(f143,plain,
! [X0] : left_inverse(X0) = right_division(identity,X0),
inference(superposition,[],[f130,f1]) ).
fof(f179,plain,
! [X2,X0,X1] : multiply(X2,multiply(left_division(X0,X1),X2)) = left_division(right_division(X0,X2),multiply(X1,X2)),
inference(superposition,[],[f79,f3]) ).
fof(f182,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = left_division(right_division(identity,X1),multiply(X0,X1)),
inference(superposition,[],[f79,f1]) ).
fof(f198,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = left_division(left_inverse(X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f182,f143]) ).
fof(f229,plain,
! [X2,X0,X1] : right_division(X2,X0) = right_division(multiply(multiply(X2,X1),X0),multiply(X0,multiply(X1,X0))),
inference(superposition,[],[f6,f66]) ).
fof(f286,plain,
! [X0] : right_division(identity,right_inverse(X0)) = X0,
inference(superposition,[],[f6,f8]) ).
fof(f298,plain,
! [X0] : left_inverse(right_inverse(X0)) = X0,
inference(forward_demodulation,[],[f286,f143]) ).
fof(f301,plain,
! [X0] : right_inverse(X0) = left_inverse(X0),
inference(superposition,[],[f111,f298]) ).
fof(f302,plain,
! [X0,X1] : multiply(X0,X1) = right_division(X0,right_inverse(X1)),
inference(superposition,[],[f130,f298]) ).
fof(f321,plain,
! [X0] : right_inverse(X0) = right_division(identity,X0),
inference(backward_demodulation,[],[f143,f301]) ).
fof(f328,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = left_division(right_inverse(X1),multiply(X0,X1)),
inference(backward_demodulation,[],[f198,f301]) ).
fof(f419,plain,
! [X0,X1] : multiply(X1,X0) = left_division(right_inverse(X1),X0),
inference(superposition,[],[f328,f5]) ).
fof(f473,plain,
! [X2,X0,X1] : multiply(X1,multiply(left_division(X2,right_division(X0,X1)),X1)) = left_division(right_division(X2,X1),X0),
inference(superposition,[],[f179,f5]) ).
fof(f628,plain,
! [X2,X0,X1] : right_division(right_division(X0,X1),X2) = right_division(multiply(X0,X2),multiply(X2,multiply(X1,X2))),
inference(superposition,[],[f229,f5]) ).
fof(f697,plain,
! [X2,X0,X1] : right_division(right_division(X2,right_division(X0,X1)),X1) = right_division(multiply(X2,X1),multiply(X1,X0)),
inference(superposition,[],[f628,f5]) ).
fof(f2741,plain,
! [X0,X1] : right_division(identity,X1) = right_division(multiply(right_division(X0,X1),X1),multiply(X1,X0)),
inference(superposition,[],[f697,f139]) ).
fof(f2761,plain,
! [X0,X1] : right_division(identity,X1) = right_division(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f2741,f5]) ).
fof(f2768,plain,
! [X0,X1] : right_inverse(X1) = right_division(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f2761,f321]) ).
fof(f2914,plain,
! [X0,X1] : right_division(X1,X0) = right_inverse(right_division(X0,X1)),
inference(superposition,[],[f2768,f5]) ).
fof(f3005,plain,
! [X2,X0,X1] : multiply(right_division(X0,X1),X2) = left_division(right_division(X1,X0),X2),
inference(superposition,[],[f419,f2914]) ).
fof(f3015,plain,
! [X2,X0,X1] : multiply(right_division(X1,X2),X0) = multiply(X1,multiply(left_division(X2,right_division(X0,X1)),X1)),
inference(backward_demodulation,[],[f473,f3005]) ).
fof(f3279,plain,
! [X2,X0,X1] : multiply(right_division(X1,right_inverse(X2)),X0) = multiply(X1,multiply(multiply(X2,right_division(X0,X1)),X1)),
inference(superposition,[],[f3015,f419]) ).
fof(f3330,plain,
! [X2,X0,X1] : multiply(right_division(X1,right_inverse(X2)),X0) = multiply(X1,multiply(right_division(X2,X1),multiply(X1,X0))),
inference(forward_demodulation,[],[f3279,f74]) ).
fof(f3350,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(right_division(X2,X1),multiply(X1,X0))),
inference(forward_demodulation,[],[f3330,f302]) ).
fof(f3393,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,X1)),X2) = multiply(X1,multiply(X0,multiply(X1,X2))),
inference(superposition,[],[f3350,f6]) ).
fof(f3534,plain,
$false,
inference(backward_subsumption_resolution,[],[f17,f3393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP201-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:40:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.89/1.99 % (3297428)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.89/1.99 % (3297437)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2519777823:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.89/1.99 % (3297434)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=1315499102:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.89/1.99 % (3297435)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1164577029:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.89/1.99 % (3297433)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=1880742379:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.89/1.99 % (3297436)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1827178863:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.89/1.99 % (3297439)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2392517118:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.89/1.99 % (3297438)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1526309812:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.89/1.99 % (3297437)Instruction limit reached!
% 5.89/1.99 % (3297437)------------------------------
% 5.89/1.99 % (3297437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.99 % (3297437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.99 % (3297437)CaDiCaL version: 2.1.3
% 5.89/1.99 % (3297437)Termination reason: Instruction limit
% 5.89/1.99 % (3297437)Termination phase: Saturation
% 5.89/1.99 % (3297437)Time elapsed: 0.057 s
% 5.89/1.99 % (3297437)Peak memory usage: 89 MB
% 5.89/1.99 % (3297437)Instructions burned: 184 (million)
% 5.89/1.99 % (3297436)Instruction limit reached!
% 5.89/1.99 % (3297436)------------------------------
% 5.89/1.99 % (3297436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.99 % (3297436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.99 % (3297436)CaDiCaL version: 2.1.3
% 5.89/1.99 % (3297436)Termination reason: Instruction limit
% 5.89/1.99 % (3297436)Termination phase: Saturation
% 5.89/1.99 % (3297436)Time elapsed: 0.083 s
% 5.89/1.99 % (3297436)Peak memory usage: 88 MB
% 5.89/1.99 % (3297436)Instructions burned: 137 (million)
% 5.89/1.99 % (3297447)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3215006895:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 5.89/1.99 % (3297438)Instruction limit reached!
% 5.89/1.99 % (3297438)------------------------------
% 5.89/1.99 % (3297438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.99 % (3297438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.99 % (3297438)CaDiCaL version: 2.1.3
% 5.89/1.99 % (3297438)Termination reason: Instruction limit
% 5.89/1.99 % (3297438)Termination phase: Saturation
% 5.89/1.99 % (3297438)Time elapsed: 0.155 s
% 5.89/1.99 % (3297438)Peak memory usage: 90 MB
% 5.89/1.99 % (3297438)Instructions burned: 257 (million)
% 5.89/1.99 % (3297448)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3151986360:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.89/1.99 % (3297450)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=471869366:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.89/1.99 % (3297450)Instruction limit reached!
% 5.89/1.99 % (3297450)------------------------------
% 5.89/1.99 % (3297450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.99 % (3297450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.99 % (3297450)CaDiCaL version: 2.1.3
% 5.89/1.99 % (3297450)Termination reason: Instruction limit
% 5.89/1.99 % (3297450)Termination phase: Saturation
% 5.89/1.99 % (3297450)Time elapsed: 0.117 s
% 5.89/1.99 % (3297450)Peak memory usage: 90 MB
% 5.89/1.99 % (3297450)Instructions burned: 216 (million)
% 5.89/1.99 % (3297453)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=2128940288:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 5.89/1.99 % (3297439)Instruction limit reached!
% 5.89/1.99 % (3297439)------------------------------
% 5.89/1.99 % (3297439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.99 % (3297439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.99 % (3297439)CaDiCaL version: 2.1.3
% 5.89/1.99 % (3297439)Termination reason: Instruction limit
% 5.89/1.99 % (3297439)Termination phase: Saturation
% 5.89/1.99 % (3297439)Time elapsed: 0.647 s
% 5.89/1.99 % (3297439)Peak memory usage: 99 MB
% 5.89/1.99 % (3297439)Instructions burned: 1188 (million)
% 5.89/1.99 % (3297447)First to succeed.
% 5.89/1.99 % (3297447)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3297428"
% 5.89/1.99 % (3297434)Also succeeded, but the first one will report.
% 5.89/1.99 % (3297455)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=1345951667:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 5.89/1.99 % (3297453)Instruction limit reached!
% 5.89/1.99 % (3297453)------------------------------
% 5.89/1.99 % (3297453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.99 % (3297453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.99 % (3297453)CaDiCaL version: 2.1.3
% 5.89/1.99 % (3297453)Termination reason: Instruction limit
% 5.89/1.99 % (3297453)Termination phase: Saturation
% 5.89/1.99 % (3297453)Time elapsed: 0.213 s
% 5.89/1.99 % (3297453)Peak memory usage: 94 MB
% 5.89/1.99 % (3297453)Instructions burned: 317 (million)
% 5.89/1.99 % (3297447)Refutation found. Thanks to Tanya!
% 5.89/1.99 % SZS status Unsatisfiable for theBenchmark
% 5.89/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/2.09 % (3297447)------------------------------
% 8.45/2.09 % (3297447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.09 % (3297447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.09 % (3297447)CaDiCaL version: 2.1.3
% 8.45/2.09 % (3297447)Termination reason: Refutation
% 8.45/2.09 % (3297447)Time elapsed: 0.651 s
% 8.45/2.09 % (3297447)Peak memory usage: 138 MB
% 8.45/2.09 % (3297447)Instructions burned: 1793 (million)
% 8.45/2.09 % (3297447)------------------------------
% 8.45/2.09 % (3297447)------------------------------
% 8.45/2.09 % (3297428)Success in time 1.133 s
% 8.45/2.09 % Vampire exiting
%------------------------------------------------------------------------------