%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO524_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:27:07 PM UTC 2026
% Result : Theorem 5.03s 1.48s
% Output : Refutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 0 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 164 ( 28 atm; 42 fun; 85 num; 9 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 1 usr; 9 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_8,type,
-1: $int > $int ).
tff(func_def_12,type,
5: $int > $int ).
tff(func_def_15,type,
3: $int > $int ).
tff(func_def_17,type,
4: $int > $int ).
tff(func_def_18,type,
-2: $int > $int ).
tff(f1,conjecture,
( ( ! [X0: $int] : $lesseq(f($sum(X0,1)),f($sum(X0,2)))
& $lesseq(f(7),3) )
=> $lesseq(f(4),3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] : $lesseq(f($sum(X0,1)),f($sum(X0,2)))
& $lesseq(f(7),3) )
=> $lesseq(f(4),3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int] : ~ $less(f($sum(X0,2)),f($sum(X0,1)))
& ~ $less(3,f(7)) )
=> ~ $less(3,f(4)) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
( $less(3,f(4))
& ! [X0: $int] : ~ $less(f($sum(X0,2)),f($sum(X0,1)))
& ~ $less(3,f(7)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ! [X0: $int] : ~ $less(f($sum(X0,2)),f($sum(X0,1)))
& ~ $less(3,f(7))
& $less(3,f(4)) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
$less(3,f(4)),
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
~ $less(3,f(7)),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(f($sum(X0,2)),f($sum(X0,1))),
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
! [X0: $int] : $greater($sum(1,$sum(f($sum(X0,2)),-1(f($sum(X0,1))))),0),
inference(alasca_normalization,[],[f8]) ).
tff(f10,plain,
$greater($sum(-3,f(4)),0),
inference(alasca_normalization,[],[f6]) ).
tff(f11,plain,
$greater($sum(4,-1(f(7))),0),
inference(alasca_normalization,[],[f7]) ).
tff(f12,plain,
$greater($sum($sum($sum($uminus(f($sum(5(1),1))),1),4),-1),0),
inference(alasca_fourier_motzkin,[],[f9,f11]) ).
tff(f13,plain,
! [X0: $int] : $greater($sum($sum($sum($uminus(f($sum($sum(X0,-1(1)),1))),1),$sum(f($sum(X0,2)),1)),-1),0),
inference(alasca_fourier_motzkin,[],[f9,f9]) ).
tff(f14,plain,
! [X0: $int] : $greater($sum(1,$sum(f($sum(X0,2)),-1(f(X0)))),0),
inference(alasca_normalization,[],[f13]) ).
tff(f15,plain,
$greater($sum(4,-1(f(6))),0),
inference(alasca_normalization,[],[f12]) ).
tff(f19,plain,
$greater($sum($sum($sum($uminus(f(4(1))),1),4),-1),0),
inference(alasca_fourier_motzkin,[],[f14,f15]) ).
tff(f22,plain,
$greater($sum(4,-1(f(4))),0),
inference(alasca_normalization,[],[f19]) ).
tff(f26,plain,
$greater($sum($sum(-3,4),-1),0),
inference(alasca_fourier_motzkin,[],[f10,f22]) ).
tff(f27,plain,
$false,
inference(alasca_normalization,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO524_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.17 % Computer : n008.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Mon Sep 28 17:47:54 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.19 Running first-order theorem proving
% 0.05/0.19 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
% 3.88/1.29 % (2467953)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.88/1.29 % (2468041)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1138931331:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.88/1.29 % (2468041)Instruction limit reached!
% 3.88/1.29 % (2468041)------------------------------
% 3.88/1.29 % (2468041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.29 % (2468041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.29 % (2468041)CaDiCaL version: 2.1.3
% 3.88/1.29 % (2468041)Termination reason: Instruction limit
% 3.88/1.29 % (2468041)Termination phase: Saturation
% 3.88/1.29 % (2468041)Time elapsed: 0.030 s
% 3.88/1.29 % (2468041)Peak memory usage: 116 MB
% 3.88/1.29 % (2468041)Instructions burned: 35 (million)
% 3.88/1.29 % (2468034)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2946938438:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.88/1.29 % (2468038)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1674596697:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.88/1.29 % (2468031)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3977501608:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.88/1.29 % (2468033)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3944185086:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.88/1.29 % (2468038)Instruction limit reached!
% 3.88/1.29 % (2468038)------------------------------
% 3.88/1.29 % (2468038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.29 % (2468038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.29 % (2468038)CaDiCaL version: 2.1.3
% 3.88/1.29 % (2468038)Termination reason: Instruction limit
% 3.88/1.29 % (2468038)Termination phase: Saturation
% 3.88/1.29 % (2468038)Time elapsed: 0.006 s
% 3.88/1.29 % (2468038)Peak memory usage: 88 MB
% 3.88/1.29 % (2468038)Instructions burned: 5 (million)
% 3.88/1.29 % (2468040)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3896356002:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.88/1.29 % (2468036)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4068654437:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.88/1.29 % (2468033)Refutation not found, incomplete strategy
% 3.88/1.29 % (2468033)------------------------------
% 3.88/1.29 % (2468033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.29 % (2468033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.29 % (2468033)CaDiCaL version: 2.1.3
% 3.88/1.29 % (2468033)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.29 % (2468033)Time elapsed: 0.030 s
% 3.88/1.29 % (2468033)Peak memory usage: 115 MB
% 3.88/1.29 % (2468033)Instructions burned: 8 (million)
% 3.88/1.29 % (2468031)Instruction limit reached!
% 3.88/1.29 % (2468031)------------------------------
% 3.88/1.29 % (2468031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.29 % (2468031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.29 % (2468031)CaDiCaL version: 2.1.3
% 3.88/1.29 % (2468031)Termination reason: Instruction limit
% 3.88/1.29 % (2468031)Termination phase: Saturation
% 3.88/1.29 % (2468031)Time elapsed: 0.031 s
% 3.88/1.29 % (2468031)Peak memory usage: 115 MB
% 3.88/1.29 % (2468031)Instructions burned: 12 (million)
% 3.88/1.29 % (2468036)Instruction limit reached!
% 3.88/1.29 % (2468036)------------------------------
% 3.88/1.29 % (2468036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.29 % (2468036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.29 % (2468036)CaDiCaL version: 2.1.3
% 3.88/1.29 % (2468036)Termination reason: Instruction limit
% 3.88/1.29 % (2468036)Termination phase: Saturation
% 3.88/1.29 % (2468036)Time elapsed: 0.006 s
% 3.88/1.29 % (2468036)Peak memory usage: 88 MB
% 3.88/1.29 % (2468036)Instructions burned: 8 (million)
% 3.88/1.29 % (2468040)Refutation not found, incomplete strategy
% 3.88/1.29 % (2468040)------------------------------
% 3.88/1.29 % (2468040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.29 % (2468040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468040)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468040)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.48 % (2468040)Time elapsed: 0.028 s
% 5.03/1.48 % (2468040)Peak memory usage: 115 MB
% 5.03/1.48 % (2468040)Instructions burned: 6 (million)
% 5.03/1.48 % (2468073)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2051508522:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.03/1.48 % (2468073)Refutation not found, incomplete strategy
% 5.03/1.48 % (2468073)------------------------------
% 5.03/1.48 % (2468073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468073)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468073)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.48 % (2468073)Time elapsed: 0.001 s
% 5.03/1.48 % (2468073)Peak memory usage: 88 MB
% 5.03/1.48 % (2468076)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3918701980:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 5.03/1.48 % (2468034)Instruction limit reached!
% 5.03/1.48 % (2468034)------------------------------
% 5.03/1.48 % (2468034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468034)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468034)Termination reason: Instruction limit
% 5.03/1.48 % (2468034)Termination phase: Saturation
% 5.03/1.48 % (2468034)Time elapsed: 0.168 s
% 5.03/1.48 % (2468034)Peak memory usage: 118 MB
% 5.03/1.48 % (2468034)Instructions burned: 201 (million)
% 5.03/1.48 % (2468076)Instruction limit reached!
% 5.03/1.48 % (2468076)------------------------------
% 5.03/1.48 % (2468076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468076)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468076)Termination reason: Instruction limit
% 5.03/1.48 % (2468076)Termination phase: Saturation
% 5.03/1.48 % (2468076)Time elapsed: 0.021 s
% 5.03/1.48 % (2468076)Peak memory usage: 88 MB
% 5.03/1.48 % (2468076)Instructions burned: 30 (million)
% 5.03/1.48 % (2468086)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1072688118:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.03/1.48 % (2468084)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=521845331:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.03/1.48 % (2468086)Instruction limit reached!
% 5.03/1.48 % (2468086)------------------------------
% 5.03/1.48 % (2468086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468086)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468086)Termination reason: Instruction limit
% 5.03/1.48 % (2468086)Termination phase: Saturation
% 5.03/1.48 % (2468086)Time elapsed: 0.019 s
% 5.03/1.48 % (2468086)Peak memory usage: 89 MB
% 5.03/1.48 % (2468086)Instructions burned: 25 (million)
% 5.03/1.48 % (2468084)First to succeed.
% 5.03/1.48 % (2468084)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2467953"
% 5.03/1.48 % (2468073)------------------------------
% 5.03/1.48 % (2468073)------------------------------
% 5.03/1.48 % (2468033)------------------------------
% 5.03/1.48 % (2468033)------------------------------
% 5.03/1.48 % (2468108)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1972525312:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.03/1.48 % (2468109)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1130783883:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.03/1.48 % (2468108)Instruction limit reached!
% 5.03/1.48 % (2468108)------------------------------
% 5.03/1.48 % (2468108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468108)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468108)Termination reason: Instruction limit
% 5.03/1.48 % (2468108)Termination phase: Saturation
% 5.03/1.48 % (2468108)Time elapsed: 0.018 s
% 5.03/1.48 % (2468108)Peak memory usage: 89 MB
% 5.03/1.48 % (2468108)Instructions burned: 27 (million)
% 5.03/1.48 % (2468112)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=208532388:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.03/1.48 % (2468112)Instruction limit reached!
% 5.03/1.48 % (2468112)------------------------------
% 5.03/1.48 % (2468112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468112)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468112)Termination reason: Instruction limit
% 5.03/1.48 % (2468112)Termination phase: Saturation
% 5.03/1.48 % (2468112)Time elapsed: 0.003 s
% 5.03/1.48 % (2468112)Peak memory usage: 88 MB
% 5.03/1.48 % (2468112)Instructions burned: 2 (million)
% 5.03/1.48 % (2468040)------------------------------
% 5.03/1.48 % (2468040)------------------------------
% 5.03/1.48 % (2468114)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=843355150:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 5.03/1.48 % (2468109)Instruction limit reached!
% 5.03/1.48 % (2468109)------------------------------
% 5.03/1.48 % (2468109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468109)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468109)Termination reason: Instruction limit
% 5.03/1.48 % (2468109)Termination phase: Saturation
% 5.03/1.48 % (2468109)Time elapsed: 0.061 s
% 5.03/1.48 % (2468109)Peak memory usage: 89 MB
% 5.03/1.48 % (2468109)Instructions burned: 86 (million)
% 5.03/1.48 % (2468114)Instruction limit reached!
% 5.03/1.48 % (2468114)------------------------------
% 5.03/1.48 % (2468114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468114)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468114)Termination reason: Instruction limit
% 5.03/1.48 % (2468114)Termination phase: Saturation
% 5.03/1.48 % (2468114)Time elapsed: 0.002 s
% 5.03/1.48 % (2468114)Peak memory usage: 88 MB
% 5.03/1.48 % (2468114)Instructions burned: 5 (million)
% 5.03/1.48 % (2468113)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3843194138:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 5.03/1.48 % (2468113)Refutation not found, incomplete strategy
% 5.03/1.48 % (2468113)------------------------------
% 5.03/1.48 % (2468113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468113)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468113)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.48 % (2468113)Time elapsed: 0.003 s
% 5.03/1.48 % (2468113)Peak memory usage: 89 MB
% 5.03/1.48 % (2468113)Instructions burned: 1 (million)
% 5.03/1.48 % (2468084)Refutation found. Thanks to Tanya!
% 5.03/1.48 % SZS status Theorem for theBenchmark
% 5.03/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 5.03/1.48 % (2468084)------------------------------
% 5.03/1.48 % (2468084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.48 % (2468084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.48 % (2468084)CaDiCaL version: 2.1.3
% 5.03/1.48 % (2468084)Termination reason: Refutation
% 5.03/1.48 % (2468084)Time elapsed: 0.009 s
% 5.03/1.48 % (2468084)Peak memory usage: 90 MB
% 5.03/1.48 % (2468084)Instructions burned: 13 (million)
% 5.03/1.48 % (2468084)------------------------------
% 5.03/1.48 % (2468084)------------------------------
% 5.03/1.48 % (2467953)Success in time 0.638 s
% 5.03/1.48 % Vampire exiting
%------------------------------------------------------------------------------