%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM594+3 : 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 : n015.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 12:15:54 PM UTC 2026
% Result : Theorem 2.79s 1.17s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 62 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 71 ( 26 ~; 17 |; 25 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f94,axiom,
( ? [X0] :
( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = xx )
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).
fof(f95,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xd,X0) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f96,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xd,X0) = xx ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f236,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f237,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xd,X0) != xx ),
inference(ennf_transformation,[],[f96]) ).
fof(f407,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f237]) ).
fof(f411,plain,
( aElementOf0(sK69,szDzozmdt0(xd))
& xx = sdtlpdtrp0(xd,sK69)
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X0,sK69)],[f94]) ).
fof(f770,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f407]) ).
fof(f777,plain,
xx = sdtlpdtrp0(xd,sK69),
inference(cnf_transformation,[],[f411]) ).
fof(f778,plain,
aElementOf0(sK69,szDzozmdt0(xd)),
inference(cnf_transformation,[],[f411]) ).
fof(f779,plain,
! [X0] :
( sdtlpdtrp0(xd,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f849,plain,
aElementOf0(sK69,szNzAzT0),
inference(forward_demodulation,[],[f778,f770]) ).
fof(f851,plain,
( xx != xx
| ~ aElementOf0(sK69,szNzAzT0) ),
inference(superposition,[],[f779,f777]) ).
fof(f852,plain,
~ aElementOf0(sK69,szNzAzT0),
inference(trivial_inequality_removal,[],[f851]) ).
fof(f853,plain,
$false,
inference(forward_subsumption_resolution,[],[f852,f849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:43:31 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.79/1.17 % (1991879)Detected formulas, will run a generic FOF schedule.
% 2.79/1.17 % (1991890)dis-21_1_sil=8000:lcm=predicate:random_seed=4076672478: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)
% 2.79/1.17 % (1991887)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3702539775:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.17 % (1991889)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3614209851:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.17 % (1991886)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=343029934:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.17 % (1991884)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=2139078825:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.17 % (1991888)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1762089041:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.17 % (1991885)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=2945657409:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.17 % (1991889)First to succeed.
% 2.79/1.17 % (1991889)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1991879"
% 2.79/1.17 % (1991888)Also succeeded, but the first one will report.
% 2.79/1.17 % (1991887)Also succeeded, but the first one will report.
% 2.79/1.17 % (1991890)Instruction limit reached!
% 2.79/1.17 % (1991890)------------------------------
% 2.79/1.17 % (1991890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.17 % (1991890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.17 % (1991890)CaDiCaL version: 2.1.3
% 2.79/1.17 % (1991890)Termination reason: Instruction limit
% 2.79/1.17 % (1991890)Termination phase: Saturation
% 2.79/1.17 % (1991890)Time elapsed: 0.067 s
% 2.79/1.17 % (1991890)Peak memory usage: 90 MB
% 2.79/1.17 % (1991890)Instructions burned: 130 (million)
% 2.79/1.17 % (1991889)Refutation found. Thanks to Tanya!
% 2.79/1.17 % SZS status Theorem for theBenchmark
% 2.79/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.17 % (1991889)------------------------------
% 2.79/1.17 % (1991889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.17 % (1991889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.17 % (1991889)CaDiCaL version: 2.1.3
% 2.79/1.17 % (1991889)Termination reason: Refutation
% 2.79/1.17 % (1991889)Time elapsed: 0.008 s
% 2.79/1.17 % (1991889)Peak memory usage: 89 MB
% 2.79/1.17 % (1991889)Instructions burned: 20 (million)
% 2.79/1.17 % (1991889)------------------------------
% 2.79/1.17 % (1991889)------------------------------
% 2.79/1.17 % (1991879)Success in time 0.342 s
% 2.79/1.17 % Vampire exiting
%------------------------------------------------------------------------------