%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:15:46 PM UTC 2026
% Result : Theorem 2.57s 1.33s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 57 ( 22 ~; 6 |; 23 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,conjecture,
( ( aSet0(slcrc0)
& ~ ? [X0] : aElementOf0(X0,slcrc0) )
=> ( ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f80,negated_conjecture,
~ ( ( aSet0(slcrc0)
& ~ ? [X0] : aElementOf0(X0,slcrc0) )
=> ( ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f90,plain,
~ ( ( aSet0(slcrc0)
& ~ ? [X0] : aElementOf0(X0,slcrc0) )
=> ( ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
inference(rectify,[],[f80]) ).
fof(f195,plain,
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X0] : ~ aElementOf0(X0,slcrc0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f196,plain,
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X0] : ~ aElementOf0(X0,slcrc0) ),
inference(flattening,[],[f195]) ).
fof(f283,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0) ),
inference(rectify,[],[f196]) ).
fof(f284,plain,
( ~ aElementOf0(sK37,xS)
& aElementOf0(sK37,slcrc0)
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f283]) ).
fof(f482,plain,
! [X1] : ~ aElementOf0(X1,slcrc0),
inference(cnf_transformation,[],[f284]) ).
fof(f486,plain,
aElementOf0(sK37,slcrc0),
inference(cnf_transformation,[],[f284]) ).
fof(f634,plain,
$false,
inference(resolution,[],[f486,f482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n017.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 20:26:36 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 2.57/1.33 % (2915654)Detected formulas, will run a generic FOF schedule.
% 2.57/1.33 % (2915665)dis-21_1_sil=8000:lcm=predicate:random_seed=3155592960: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)
% 2.57/1.33 % (2915665)First to succeed.
% 2.57/1.33 % (2915665)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2915654"
% 2.57/1.33 % (2915660)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=3539399913:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.57/1.33 % (2915659)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=3803493693:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.57/1.33 % (2915663)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2603550993:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.57/1.33 % (2915662)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3451706413:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.57/1.33 % (2915661)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=3579735604:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.57/1.33 % (2915664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=118416107:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.57/1.33 % (2915663)Also succeeded, but the first one will report.
% 2.57/1.33 % (2915662)Also succeeded, but the first one will report.
% 2.57/1.33 % (2915664)Also succeeded, but the first one will report.
% 2.57/1.33 % (2915665)Refutation found. Thanks to Tanya!
% 2.57/1.33 % SZS status Theorem for theBenchmark
% 2.57/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.33 % (2915665)------------------------------
% 2.57/1.33 % (2915665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.33 % (2915665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.33 % (2915665)CaDiCaL version: 2.1.3
% 2.57/1.33 % (2915665)Termination reason: Refutation
% 2.57/1.33 % (2915665)Time elapsed: 0.004 s
% 2.57/1.33 % (2915665)Peak memory usage: 89 MB
% 2.57/1.33 % (2915665)Instructions burned: 10 (million)
% 2.57/1.33 % (2915665)------------------------------
% 2.57/1.33 % (2915665)------------------------------
% 2.57/1.33 % (2915654)Success in time 0.276 s
% 2.57/1.33 % Vampire exiting
%------------------------------------------------------------------------------