%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM540+2 : 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 : n020.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 12:15:39 PM UTC 2026
% Result : Theorem 2.65s 1.32s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 38 ( 17 ~; 3 |; 15 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) )
=> ( ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f53,negated_conjecture,
~ ( ( aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) )
=> ( ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
~ ( ( aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
inference(rectify,[],[f53]) ).
fof(f58,plain,
( ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f59,plain,
( ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) ),
inference(flattening,[],[f58]) ).
fof(f68,plain,
( ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aSet0(slbdtrb0(sz00))
& ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) ),
inference(rectify,[],[f59]) ).
fof(f69,plain,
( aElementOf0(sK0,slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aSet0(slbdtrb0(sz00))
& ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f68]) ).
fof(f80,plain,
! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f69]) ).
fof(f83,plain,
aElementOf0(sK0,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
$false,
inference(forward_subsumption_resolution,[],[f83,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 20:25:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.65/1.32 % (3719535)Detected formulas, will run a generic FOF schedule.
% 2.65/1.32 % (3719543)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3065353285:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.32 % (3719543)First to succeed.
% 2.65/1.32 % (3719543)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3719535"
% 2.65/1.32 % (3719540)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=2852485199:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.32 % (3719546)dis-21_1_sil=8000:lcm=predicate:random_seed=3933047903: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)
% 2.65/1.32 % (3719542)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=3641708663:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.32 % (3719541)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=1746579137:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.32 % (3719546)Also succeeded, but the first one will report.
% 2.65/1.32 % (3719545)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1592499316:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.32 % (3719544)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2593445358:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.32 % (3719544)Also succeeded, but the first one will report.
% 2.65/1.32 % (3719545)Also succeeded, but the first one will report.
% 2.65/1.32 % (3719543)Refutation found. Thanks to Tanya!
% 2.65/1.32 % SZS status Theorem for theBenchmark
% 2.65/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.32 % (3719543)------------------------------
% 2.65/1.32 % (3719543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.32 % (3719543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.32 % (3719543)CaDiCaL version: 2.1.3
% 2.65/1.32 % (3719543)Termination reason: Refutation
% 2.65/1.32 % (3719543)Time elapsed: 0.001 s
% 2.65/1.32 % (3719543)Peak memory usage: 89 MB
% 2.65/1.32 % (3719543)Instructions burned: 1 (million)
% 2.65/1.32 % (3719543)------------------------------
% 2.65/1.32 % (3719543)------------------------------
% 2.65/1.32 % (3719535)Success in time 0.285 s
% 2.65/1.32 % Vampire exiting
%------------------------------------------------------------------------------