%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM607+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 : n001.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 12:15:58 PM UTC 2026
% Result : Theorem 4.53s 1.72s
% Output : Refutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 62 ( 2 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 65 ( 19 ~; 16 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,axiom,
( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f99,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f102,conjecture,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f103,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(negated_conjecture,[status(cth)],[f102]) ).
fof(f117,plain,
~ ( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(rectify,[],[f103]) ).
fof(f153,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) )
& aSubsetOf0(xO,xS) ),
inference(ennf_transformation,[],[f98]) ).
fof(f154,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f158,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xQ) )
& ~ aSubsetOf0(xQ,xS)
& ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,xQ) )
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(ennf_transformation,[],[f117]) ).
fof(f368,plain,
( ~ aElementOf0(sK53,xS)
& aElementOf0(sK53,xQ)
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(sK54,xS)
& aElementOf0(sK54,xQ)
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f158]) ).
fof(f660,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f153]) ).
fof(f664,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f154]) ).
fof(f676,plain,
aElementOf0(sK53,xQ),
inference(cnf_transformation,[],[f368]) ).
fof(f677,plain,
~ aElementOf0(sK53,xS),
inference(cnf_transformation,[],[f368]) ).
fof(f863,plain,
~ aElementOf0(sK53,xO),
inference(resolution,[],[f660,f677]) ).
fof(f868,plain,
~ aElementOf0(sK53,xQ),
inference(resolution,[],[f664,f863]) ).
fof(f869,plain,
$false,
inference(forward_subsumption_resolution,[],[f868,f676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM607+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:49:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.53/1.72 % (3936856)Detected formulas, will run a generic FOF schedule.
% 4.53/1.72 % (3936964)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=2243157210:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.53/1.72 % (3936963)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=498928468:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.53/1.72 % (3936962)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=2127316949:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.53/1.72 % (3936967)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2692130593:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.53/1.72 % (3936966)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2927574900:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.53/1.72 % (3936965)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1364158035:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.53/1.72 % (3936968)dis-21_1_sil=8000:lcm=predicate:random_seed=3594453623: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)
% 4.53/1.72 % (3936966)First to succeed.
% 4.53/1.72 % (3936966)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3936856"
% 4.53/1.72 % (3936968)Also succeeded, but the first one will report.
% 4.53/1.72 % (3936967)Also succeeded, but the first one will report.
% 4.53/1.72 % (3936965)Also succeeded, but the first one will report.
% 4.53/1.72 % (3936966)Refutation found. Thanks to Tanya!
% 4.53/1.72 % SZS status Theorem for theBenchmark
% 4.53/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.53/1.72 % (3936966)------------------------------
% 4.53/1.72 % (3936966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (3936966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (3936966)CaDiCaL version: 2.1.3
% 4.53/1.72 % (3936966)Termination reason: Refutation
% 4.53/1.72 % (3936966)Time elapsed: 0.012 s
% 4.53/1.72 % (3936966)Peak memory usage: 89 MB
% 4.53/1.72 % (3936966)Instructions burned: 18 (million)
% 4.53/1.72 % (3936966)------------------------------
% 4.53/1.72 % (3936966)------------------------------
% 4.53/1.72 % (3936856)Success in time 0.544 s
% 4.53/1.72 % Vampire exiting
%------------------------------------------------------------------------------