%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM460+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:15:17 PM UTC 2026
% Result : Theorem 2.69s 1.10s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 8 unt; 0 def)
% Number of atoms : 223 ( 19 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 312 ( 145 ~; 136 |; 22 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 108 ( 103 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f22,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__773) ).
fof(f23,conjecture,
( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl) )
=> sdtlseqdt0(xm,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f24,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl) )
=> sdtlseqdt0(xm,xl) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f26,plain,
( ~ sdtlseqdt0(xm,xl)
& sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl) ),
inference(ennf_transformation,[],[f24]) ).
fof(f27,plain,
( ~ sdtlseqdt0(xm,xl)
& sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl) ),
inference(flattening,[],[f26]) ).
fof(f31,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f32,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f36,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f40,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f32]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f42]) ).
fof(f44,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
sdtlseqdt0(xn,xl),
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
~ sdtlseqdt0(xm,xl),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f54,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f57,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f59,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f60,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f54]) ).
fof(f75,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f60,f59]) ).
fof(f78,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f75,f58]) ).
fof(f79,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X2,sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f79,f57]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X2,sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f184,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X2,sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f166,f59]) ).
fof(f217,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f184,f58]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f275,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[],[f227,f58]) ).
fof(f277,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f285,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f277,f59]) ).
fof(f337,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f285,f52]) ).
fof(f347,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f353,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f347,f53]) ).
fof(f544,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f353,f52]) ).
fof(f549,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f555,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f549,f53]) ).
fof(f4197,plain,
! [X0] :
( ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f555,f49]) ).
fof(f4207,plain,
! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f4197,f46]) ).
fof(f4214,plain,
! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[],[f4207,f44]) ).
fof(f4215,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xl) ),
inference(resolution,[],[f4214,f48]) ).
fof(f4239,plain,
~ sdtlseqdt0(xn,xl),
inference(forward_subsumption_resolution,[],[f4215,f45]) ).
fof(f4242,plain,
$false,
inference(forward_subsumption_resolution,[],[f4239,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM460+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:05:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.69/1.10 % (2958754)Detected formulas, will run a generic FOF schedule.
% 2.69/1.10 % (2958762)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3227984733:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.10 % (2958765)dis-21_1_sil=8000:lcm=predicate:random_seed=4169968809:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.69/1.10 % (2958764)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4052919834:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.10 % (2958760)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3058225650:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.10 % (2958761)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3853929974:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.10 % (2958759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=697670914:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.10 % (2958763)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2800632334:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.10 % (2958762)Refutation not found, incomplete strategy
% 2.69/1.10 % (2958762)------------------------------
% 2.69/1.10 % (2958762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.10 % (2958762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.10 % (2958762)CaDiCaL version: 2.1.3
% 2.69/1.10 % (2958762)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.10 % (2958762)Time elapsed: 0.002 s
% 2.69/1.10 % (2958762)Peak memory usage: 88 MB
% 2.69/1.10 % (2958762)Instructions burned: 1 (million)
% 2.69/1.10 % (2958763)First to succeed.
% 2.69/1.10 % (2958763)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2958754"
% 2.69/1.10 % (2958765)Instruction limit reached!
% 2.69/1.10 % (2958765)------------------------------
% 2.69/1.10 % (2958765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.10 % (2958765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.10 % (2958765)CaDiCaL version: 2.1.3
% 2.69/1.10 % (2958765)Termination reason: Instruction limit
% 2.69/1.10 % (2958765)Termination phase: Saturation
% 2.69/1.10 % (2958765)Time elapsed: 0.077 s
% 2.69/1.10 % (2958765)Peak memory usage: 90 MB
% 2.69/1.10 % (2958765)Instructions burned: 130 (million)
% 2.69/1.10 % (2958764)Instruction limit reached!
% 2.69/1.10 % (2958764)------------------------------
% 2.69/1.10 % (2958764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.10 % (2958764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.10 % (2958764)CaDiCaL version: 2.1.3
% 2.69/1.10 % (2958764)Termination reason: Instruction limit
% 2.69/1.10 % (2958764)Termination phase: Saturation
% 2.69/1.10 % (2958764)Time elapsed: 0.082 s
% 2.69/1.10 % (2958764)Peak memory usage: 90 MB
% 2.69/1.10 % (2958764)Instructions burned: 140 (million)
% 2.69/1.10 % (2958774)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3373623223:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.69/1.10 % (2958762)------------------------------
% 2.69/1.10 % (2958762)------------------------------
% 2.69/1.10 % (2958773)lrs+10_1_sil=8000:sp=occurrence:random_seed=2934549194:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.69/1.10 % (2958774)Instruction limit reached!
% 2.69/1.10 % (2958774)------------------------------
% 2.69/1.10 % (2958774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.10 % (2958774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.10 % (2958774)CaDiCaL version: 2.1.3
% 2.69/1.10 % (2958774)Termination reason: Instruction limit
% 2.69/1.10 % (2958774)Termination phase: Saturation
% 2.69/1.10 % (2958774)Time elapsed: 0.046 s
% 2.69/1.10 % (2958774)Peak memory usage: 91 MB
% 2.69/1.10 % (2958774)Instructions burned: 159 (million)
% 2.69/1.10 % (2958763)Refutation found. Thanks to Tanya!
% 2.69/1.10 % SZS status Theorem for theBenchmark
% 2.69/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.29 % (2958763)------------------------------
% 3.69/1.29 % (2958763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.29 % (2958763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.29 % (2958763)CaDiCaL version: 2.1.3
% 3.69/1.29 % (2958763)Termination reason: Refutation
% 3.69/1.29 % (2958763)Time elapsed: 0.058 s
% 3.69/1.29 % (2958763)Peak memory usage: 89 MB
% 3.69/1.29 % (2958763)Instructions burned: 108 (million)
% 3.69/1.29 % (2958763)------------------------------
% 3.69/1.29 % (2958763)------------------------------
% 3.69/1.29 % (2958754)Success in time 0.472 s
% 3.69/1.29 % Vampire exiting
%------------------------------------------------------------------------------