%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO007-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:35:49 AM UTC 2026
% Result : Unsatisfiable 6.13s 1.56s
% Output : Refutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f4,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f10,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).
fof(f16,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id2) ).
fof(f17,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity) ).
fof(f18,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(backward_demodulation,[],[f17,f2]) ).
fof(f34,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(superposition,[],[f6,f10]) ).
fof(f35,plain,
! [X0,X1] : multiply(X1,add(inverse(X1),X0)) = add(additive_identity,multiply(X1,X0)),
inference(superposition,[],[f6,f10]) ).
fof(f37,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X1,add(inverse(X1),X0)),
inference(forward_demodulation,[],[f35,f16]) ).
fof(f38,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(X0))),
inference(forward_demodulation,[],[f34,f15]) ).
fof(f51,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(superposition,[],[f38,f16]) ).
fof(f52,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,X0),
inference(superposition,[],[f38,f7]) ).
fof(f61,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f52,f13]) ).
fof(f62,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(forward_demodulation,[],[f51,f10]) ).
fof(f65,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f6,f61]) ).
fof(f66,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = add(X1,multiply(X1,X0)),
inference(superposition,[],[f6,f61]) ).
fof(f67,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f73,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
inference(superposition,[],[f5,f10]) ).
fof(f89,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = multiply(X1,inverse(X0)),
inference(forward_demodulation,[],[f73,f16]) ).
fof(f93,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(inverse(X0),add(X0,X1)),
inference(forward_demodulation,[],[f89,f2]) ).
fof(f115,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[],[f4,f15]) ).
fof(f119,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(add(X0,X1),X0),
inference(forward_demodulation,[],[f115,f62]) ).
fof(f120,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[],[f119,f2]) ).
fof(f121,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f120,f15]) ).
fof(f125,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(backward_demodulation,[],[f66,f121]) ).
fof(f126,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(backward_demodulation,[],[f67,f125]) ).
fof(f249,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(X2,X0),multiply(add(X1,X2),X0)),
inference(superposition,[],[f126,f5]) ).
fof(f286,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(superposition,[],[f3,f7]) ).
fof(f295,plain,
! [X0,X1] : add(multiply(X1,X0),inverse(X0)) = multiply(add(X1,inverse(X0)),multiplicative_identity),
inference(superposition,[],[f3,f7]) ).
fof(f309,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(multiply(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f295,f13]) ).
fof(f314,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(multiply(X0,X1),inverse(X0)),
inference(forward_demodulation,[],[f286,f14]) ).
fof(f318,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(inverse(X0),multiply(X1,X0)),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f320,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f314,f1]) ).
fof(f338,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(X0,multiply(X1,X0)),
inference(superposition,[],[f37,f318]) ).
fof(f348,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f338,f38]) ).
fof(f528,plain,
! [X2,X0,X1] : multiply(multiply(X2,X0),inverse(multiply(X1,X0))) = multiply(inverse(multiply(X1,X0)),multiply(add(X1,X2),X0)),
inference(superposition,[],[f93,f5]) ).
fof(f667,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X1)) = multiply(inverse(X1),X1),
inference(superposition,[],[f93,f125]) ).
fof(f676,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[],[f667,f2]) ).
fof(f683,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[],[f676,f2]) ).
fof(f688,plain,
! [X0,X1] : additive_identity = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[],[f683,f10]) ).
fof(f690,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = multiply(inverse(X0),multiply(add(X0,X1),X0)),
inference(superposition,[],[f528,f61]) ).
fof(f771,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = multiply(inverse(X0),multiply(X0,add(X0,X1))),
inference(forward_demodulation,[],[f690,f2]) ).
fof(f790,plain,
! [X0,X1] : additive_identity = multiply(multiply(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f771,f688]) ).
fof(f801,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X1,X0)),
inference(forward_demodulation,[],[f790,f2]) ).
fof(f833,plain,
! [X2,X0,X1] : multiply(add(X2,inverse(X0)),multiply(X1,X0)) = add(multiply(X2,multiply(X1,X0)),additive_identity),
inference(superposition,[],[f5,f801]) ).
fof(f834,plain,
! [X2,X0,X1] : multiply(add(inverse(X0),X2),multiply(X1,X0)) = add(additive_identity,multiply(X2,multiply(X1,X0))),
inference(superposition,[],[f5,f801]) ).
fof(f847,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(add(inverse(X0),X2),multiply(X1,X0)),
inference(forward_demodulation,[],[f834,f16]) ).
fof(f848,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(add(X2,inverse(X0)),multiply(X1,X0)),
inference(forward_demodulation,[],[f833,f15]) ).
fof(f873,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),multiply(X2,X0)) = multiply(add(X1,inverse(X0)),multiply(X2,X0)),
inference(superposition,[],[f847,f318]) ).
fof(f874,plain,
! [X2,X0,X1] : multiply(add(X1,inverse(X0)),multiply(X2,X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(superposition,[],[f847,f320]) ).
fof(f936,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(forward_demodulation,[],[f874,f848]) ).
fof(f937,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X0),multiply(X2,X0)),
inference(forward_demodulation,[],[f873,f848]) ).
fof(f945,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(X2,multiply(add(X1,X2),X0)),
inference(backward_demodulation,[],[f249,f937]) ).
fof(f973,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(multiply(add(inverse(X1),X0),X2),multiply(X1,X0)),
inference(superposition,[],[f936,f37]) ).
fof(f1002,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))),
inference(superposition,[],[f348,f936]) ).
fof(f1007,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X1),multiply(X1,X2)),
inference(forward_demodulation,[],[f1002,f348]) ).
fof(f1025,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(multiply(X1,X0),multiply(add(inverse(X1),X0),X2)),
inference(forward_demodulation,[],[f973,f2]) ).
fof(f1081,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(multiply(X2,X1),multiply(X1,X0)),
inference(superposition,[],[f937,f2]) ).
fof(f1139,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(backward_demodulation,[],[f1007,f1081]) ).
fof(f1214,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X1,multiply(X0,multiply(add(inverse(X1),X0),X2))),
inference(backward_demodulation,[],[f1025,f1139]) ).
fof(f1266,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f1214,f945]) ).
fof(f1313,plain,
$false,
inference(backward_subsumption_resolution,[],[f18,f1266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO007-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n009.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 21:03:30 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 6.13/1.56 % (3475627)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.13/1.56 % (3475636)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=405313074:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.13/1.56 % (3475632)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=2110020152:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.13/1.56 % (3475638)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1267138055:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.13/1.56 % (3475635)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4231863761:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.13/1.56 % (3475633)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=3658810030:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.13/1.56 % (3475634)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2006981893:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.13/1.56 % (3475637)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1060922600:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.13/1.56 % (3475636)Instruction limit reached!
% 6.13/1.56 % (3475636)------------------------------
% 6.13/1.56 % (3475636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.56 % (3475636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.56 % (3475636)CaDiCaL version: 2.1.3
% 6.13/1.56 % (3475636)Termination reason: Instruction limit
% 6.13/1.56 % (3475636)Termination phase: Saturation
% 6.13/1.56 % (3475636)Time elapsed: 0.056 s
% 6.13/1.56 % (3475636)Peak memory usage: 89 MB
% 6.13/1.56 % (3475636)Instructions burned: 182 (million)
% 6.13/1.56 % (3475635)Instruction limit reached!
% 6.13/1.56 % (3475635)------------------------------
% 6.13/1.56 % (3475635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.56 % (3475635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.56 % (3475635)CaDiCaL version: 2.1.3
% 6.13/1.56 % (3475635)Termination reason: Instruction limit
% 6.13/1.56 % (3475635)Termination phase: Saturation
% 6.13/1.56 % (3475635)Time elapsed: 0.084 s
% 6.13/1.56 % (3475635)Peak memory usage: 88 MB
% 6.13/1.56 % (3475635)Instructions burned: 137 (million)
% 6.13/1.56 % (3475646)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3750942826:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.13/1.56 % (3475637)Instruction limit reached!
% 6.13/1.56 % (3475637)------------------------------
% 6.13/1.56 % (3475637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.56 % (3475637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.56 % (3475637)CaDiCaL version: 2.1.3
% 6.13/1.56 % (3475637)Termination reason: Instruction limit
% 6.13/1.56 % (3475637)Termination phase: Saturation
% 6.13/1.56 % (3475637)Time elapsed: 0.168 s
% 6.13/1.56 % (3475637)Peak memory usage: 90 MB
% 6.13/1.56 % (3475637)Instructions burned: 258 (million)
% 6.13/1.56 % (3475647)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=411840671:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.13/1.56 % (3475649)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=798247274:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.13/1.56 % (3475649)Instruction limit reached!
% 6.13/1.56 % (3475649)------------------------------
% 6.13/1.56 % (3475649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.56 % (3475649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.56 % (3475649)CaDiCaL version: 2.1.3
% 6.13/1.56 % (3475649)Termination reason: Instruction limit
% 6.13/1.56 % (3475649)Termination phase: Saturation
% 6.13/1.56 % (3475649)Time elapsed: 0.105 s
% 6.13/1.56 % (3475649)Peak memory usage: 89 MB
% 6.13/1.56 % (3475649)Instructions burned: 216 (million)
% 6.13/1.56 % (3475646)First to succeed.
% 6.13/1.56 % (3475646)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3475627"
% 6.13/1.56 % (3475652)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=767950308: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)
% 6.13/1.56 % (3475638)Instruction limit reached!
% 6.13/1.56 % (3475638)------------------------------
% 6.13/1.56 % (3475638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.56 % (3475638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.56 % (3475638)CaDiCaL version: 2.1.3
% 6.13/1.56 % (3475638)Termination reason: Instruction limit
% 6.13/1.56 % (3475638)Termination phase: Saturation
% 6.13/1.56 % (3475638)Time elapsed: 0.624 s
% 6.13/1.56 % (3475638)Peak memory usage: 99 MB
% 6.13/1.56 % (3475638)Instructions burned: 1187 (million)
% 6.13/1.56 % (3475646)Refutation found. Thanks to Tanya!
% 6.13/1.56 % SZS status Unsatisfiable for theBenchmark
% 6.13/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 6.88/1.66 % (3475646)------------------------------
% 6.88/1.66 % (3475646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.66 % (3475646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.66 % (3475646)CaDiCaL version: 2.1.3
% 6.88/1.66 % (3475646)Termination reason: Refutation
% 6.88/1.66 % (3475646)Time elapsed: 0.434 s
% 6.88/1.66 % (3475646)Peak memory usage: 131 MB
% 6.88/1.66 % (3475646)Instructions burned: 1132 (million)
% 6.88/1.66 % (3475646)------------------------------
% 6.88/1.66 % (3475646)------------------------------
% 6.88/1.66 % (3475627)Success in time 0.902 s
% 6.88/1.66 % Vampire exiting
%------------------------------------------------------------------------------