%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT100_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:48:07 AM UTC 2026
% Result : Theorem 1.04s 0.37s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 19 unt; 0 typ; 2 def)
% Number of atoms : 138 ( 49 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 134 ( 48 ~; 56 |; 26 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 228 ( 26 atm; 0 fun; 178 num; 24 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 38 !; 10 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_11,type,
sK0: ( $int * list ) > $int ).
tff(func_def_12,type,
sK1: ( $int * list ) > list ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
tff(f2,axiom,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).
tff(f4,axiom,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4) ).
tff(f5,axiom,
! [X0: $int,X1: list] :
( inRange(X0,X1)
<=> ( ( X1 = nil )
| ? [X2: $int,X3: list] :
( ( X1 = cons(X2,X3) )
& $lesseq(0,X2)
& $less(X2,X0)
& inRange(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange) ).
tff(f6,conjecture,
~ inRange(4,cons(1,cons(5,cons(2,nil)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f7,negated_conjecture,
~ ~ inRange(4,cons(1,cons(5,cons(2,nil)))),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
<=> ( ( X1 = nil )
| ? [X2: $int,X3: list] :
( ( X1 = cons(X2,X3) )
& ~ $less(X2,0)
& $less(X2,X0)
& inRange(X0,X3) ) ) ),
inference(theory_normalization,[],[f5]) ).
tff(f21,plain,
inRange(4,cons(1,cons(5,cons(2,nil)))),
inference(flattening,[],[f7]) ).
tff(f22,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ( nil != X1 )
& ! [X2: $int,X3: list] :
( ( cons(X2,X3) != X1 )
| $less(X2,0)
| ~ $less(X2,X0)
| ~ inRange(X0,X3) ) ) )
& ( ( X1 = nil )
| ? [X2: $int,X3: list] :
( ( X1 = cons(X2,X3) )
& ~ $less(X2,0)
& $less(X2,X0)
& inRange(X0,X3) )
| ~ inRange(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f23,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ( nil != X1 )
& ! [X2: $int,X3: list] :
( ( cons(X2,X3) != X1 )
| $less(X2,0)
| ~ $less(X2,X0)
| ~ inRange(X0,X3) ) ) )
& ( ( X1 = nil )
| ? [X2: $int,X3: list] :
( ( X1 = cons(X2,X3) )
& ~ $less(X2,0)
& $less(X2,X0)
& inRange(X0,X3) )
| ~ inRange(X0,X1) ) ),
inference(flattening,[],[f22]) ).
tff(f24,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ( nil != X1 )
& ! [X2: $int,X3: list] :
( ( cons(X2,X3) != X1 )
| $less(X2,0)
| ~ $less(X2,X0)
| ~ inRange(X0,X3) ) ) )
& ( ( X1 = nil )
| ? [X4: $int,X5: list] :
( ( cons(X4,X5) = X1 )
& ~ $less(X4,0)
& $less(X4,X0)
& inRange(X0,X5) )
| ~ inRange(X0,X1) ) ),
inference(rectify,[],[f23]) ).
tff(f25,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ( nil != X1 )
& ! [X2: $int,X3: list] :
( ( cons(X2,X3) != X1 )
| $less(X2,0)
| ~ $less(X2,X0)
| ~ inRange(X0,X3) ) ) )
& ( ( X1 = nil )
| ( ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 )
& ~ $less(sK0(X0,X1),0)
& $less(sK0(X0,X1),X0)
& inRange(X0,sK1(X0,X1)) )
| ~ inRange(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1)),skolemize(X5,sK1(X0,X1))],[f24]) ).
tff(f26,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f27,plain,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f2]) ).
tff(f29,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f4]) ).
tff(f30,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| inRange(X0,sK1(X0,X1))
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f31,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| $less(sK0(X0,X1),X0)
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f33,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 )
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f36,plain,
inRange(4,cons(1,cons(5,cons(2,nil)))),
inference(cnf_transformation,[],[f21]) ).
tff(f168,plain,
( inRange(4,sK1(4,cons(1,cons(5,cons(2,nil)))))
| ( nil = cons(1,cons(5,cons(2,nil))) ) ),
inference(resolution,[],[f30,f36]) ).
tff(f170,plain,
inRange(4,sK1(4,cons(1,cons(5,cons(2,nil))))),
inference(forward_subsumption_resolution,[],[f168,f29]) ).
tff(f173,definition,
( spl2_1
<=> ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f174,plain,
( ( nil != sK1(4,cons(1,cons(5,cons(2,nil)))) )
| spl2_1 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f175,plain,
( ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f182,plain,
( $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
| ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) ) ),
inference(resolution,[],[f31,f170]) ).
tff(f185,definition,
( spl2_3
<=> $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f187,plain,
( $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f188,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f182,f185,f173]) ).
tff(f218,plain,
( ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
| ( nil = cons(1,cons(5,cons(2,nil))) ) ),
inference(resolution,[],[f33,f36]) ).
tff(f220,plain,
cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))),
inference(forward_subsumption_resolution,[],[f218,f29]) ).
tff(f221,plain,
( ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),nil) )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f220,f175]) ).
tff(f299,plain,
( ( nil = tail(cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_1 ),
inference(superposition,[],[f27,f221]) ).
tff(f303,plain,
( ( nil = cons(5,cons(2,nil)) )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f299,f27]) ).
tff(f314,plain,
( $false
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f303,f29]) ).
tff(f315,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f314]) ).
tff(f327,plain,
( ( sK1(4,cons(1,cons(5,cons(2,nil)))) = cons(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),sK1(4,sK1(4,cons(1,cons(5,cons(2,nil)))))) )
| ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) ) ),
inference(resolution,[],[f170,f33]) ).
tff(f333,plain,
( ( sK1(4,cons(1,cons(5,cons(2,nil)))) = cons(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),sK1(4,sK1(4,cons(1,cons(5,cons(2,nil)))))) )
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f327,f174]) ).
tff(f344,plain,
sK1(4,cons(1,cons(5,cons(2,nil)))) = tail(cons(1,cons(5,cons(2,nil)))),
inference(superposition,[],[f27,f220]) ).
tff(f348,plain,
cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))),
inference(forward_demodulation,[],[f344,f27]) ).
tff(f362,plain,
( $less(sK0(4,cons(5,cons(2,nil))),4)
| ~ spl2_3 ),
inference(backward_demodulation,[],[f187,f348]) ).
tff(f365,plain,
( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
| spl2_1 ),
inference(backward_demodulation,[],[f333,f348]) ).
tff(f1876,plain,
( ( sK0(4,cons(5,cons(2,nil))) = head(cons(5,cons(2,nil))) )
| spl2_1 ),
inference(superposition,[],[f26,f365]) ).
tff(f1878,plain,
( ( 5 = sK0(4,cons(5,cons(2,nil))) )
| spl2_1 ),
inference(forward_demodulation,[],[f1876,f26]) ).
tff(f1880,plain,
( $less(5,4)
| spl2_1
| ~ spl2_3 ),
inference(backward_demodulation,[],[f362,f1878]) ).
tff(f1896,plain,
( $false
| spl2_1
| ~ spl2_3 ),
inference(evaluation,[],[f1880]) ).
tff(f1897,plain,
( spl2_1
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
cnf(s2,plain,
( spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f188]) ).
cnf(s9,plain,
~ spl2_1,
inference(sat_conversion,[],[f315]) ).
cnf(s20,plain,
( spl2_1
| ~ spl2_3 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s21,plain,
~ spl2_3,
inference(rat,[],[s20,s9]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s2,s21,s9]) ).
tff(f1905,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT100_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:08:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/0.37 % (395927)Will run a generic schedule for satisfiability detection.
% 1.04/0.37 % (395934)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3232092243:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.04/0.37 % (395933)% WARNING: option uhcvi not known.
% 1.04/0.37 % (395932)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4124189185_2999 on theBenchmark for (2999ds/0Mi)
% 1.04/0.37 % (395935)dis+10_1_sil=32000:sp=arity:random_seed=210855267:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.04/0.37 % (395936)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1694424365:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.04/0.37 % (395937)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1732367882:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.04/0.37 % (395938)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1715484429:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.04/0.37 % (395932)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.04/0.37 % (395932)Terminated due to inappropriate strategy.
% 1.04/0.37 % (395932)------------------------------
% 1.04/0.37 % (395932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395932)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395932)Termination reason: Inappropriate
% 1.04/0.37 % (395932)Time elapsed: 0.001 s
% 1.04/0.37 % (395932)Peak memory usage: 10 MB
% 1.04/0.37 % (395932)------------------------------
% 1.04/0.37 % (395932)------------------------------
% 1.04/0.37 % (395933)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2276937954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.04/0.37 % (395946)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=277712874:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.04/0.37 % (395946)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.04/0.37 % (395946)Terminated due to inappropriate strategy.
% 1.04/0.37 % (395946)------------------------------
% 1.04/0.37 % (395946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395946)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395946)Termination reason: Inappropriate
% 1.04/0.37 % (395946)Time elapsed: 0.001 s
% 1.04/0.37 % (395946)Peak memory usage: 11 MB
% 1.04/0.37 % (395946)------------------------------
% 1.04/0.37 % (395946)------------------------------
% 1.04/0.37 % (395948)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2449574088:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.04/0.37 % (395935)Instruction limit reached!
% 1.04/0.37 % (395935)------------------------------
% 1.04/0.37 % (395935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395935)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395935)Termination reason: Instruction limit
% 1.04/0.37 % (395935)Termination phase: Saturation
% 1.04/0.37 % (395935)Time elapsed: 0.065 s
% 1.04/0.37 % (395935)Peak memory usage: 12 MB
% 1.04/0.37 % (395935)Instructions burned: 103 (million)
% 1.04/0.37 % (395936)Instruction limit reached!
% 1.04/0.37 % (395936)------------------------------
% 1.04/0.37 % (395936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395936)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395936)Termination reason: Instruction limit
% 1.04/0.37 % (395936)Termination phase: Saturation
% 1.04/0.37 % (395936)Time elapsed: 0.070 s
% 1.04/0.37 % (395936)Peak memory usage: 12 MB
% 1.04/0.37 % (395936)Instructions burned: 117 (million)
% 1.04/0.37 % (395950)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2016030546:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.04/0.37 % (395937)Instruction limit reached!
% 1.04/0.37 % (395937)------------------------------
% 1.04/0.37 % (395937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395937)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395937)Termination reason: Instruction limit
% 1.04/0.37 % (395937)Termination phase: Saturation
% 1.04/0.37 % (395937)Time elapsed: 0.087 s
% 1.04/0.37 % (395937)Peak memory usage: 12 MB
% 1.04/0.37 % (395937)Instructions burned: 136 (million)
% 1.04/0.37 % (395951)ott-21_1_sil=16000:fs=off:random_seed=898234153:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.04/0.37 % (395938)Instruction limit reached!
% 1.04/0.37 % (395938)------------------------------
% 1.04/0.37 % (395938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395938)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395938)Termination reason: Instruction limit
% 1.04/0.37 % (395938)Termination phase: Saturation
% 1.04/0.37 % (395938)Time elapsed: 0.099 s
% 1.04/0.37 % (395938)Peak memory usage: 12 MB
% 1.04/0.37 % (395938)Instructions burned: 160 (million)
% 1.04/0.37 % (395953)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2757290357:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.04/0.37 % (395955)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3542374398:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.04/0.37 % (395955)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.04/0.37 % (395955)Terminated due to inappropriate strategy.
% 1.04/0.37 % (395955)------------------------------
% 1.04/0.37 % (395955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395955)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395955)Termination reason: Inappropriate
% 1.04/0.37 % (395955)Time elapsed: 0.0000 s
% 1.04/0.37 % (395955)Peak memory usage: 10 MB
% 1.04/0.37 % (395948) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-395927-395948"...
% 1.04/0.37 % (395955)------------------------------
% 1.04/0.37 % (395955)------------------------------
% 1.04/0.37 % (395948)...printing done.
% 1.04/0.37 % (395948)Refutation found. Thanks to Tanya!
% 1.04/0.37 % SZS status Theorem for theBenchmark
% 1.04/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.37 % (395948)------------------------------
% 1.04/0.37 % (395948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.37 % (395948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.37 % (395948)CaDiCaL version: 2.1.3
% 1.04/0.37 % (395948)Termination reason: Refutation
% 1.04/0.37 % (395948)Time elapsed: 0.080 s
% 1.04/0.37 % (395948)Peak memory usage: 13 MB
% 1.04/0.37 % (395948)Instructions burned: 118 (million)
% 1.04/0.37 % (395927)Success in time 0.158 s
% 1.04/0.37 % Vampire exiting
%------------------------------------------------------------------------------