%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM602+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 : n007.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 12:15:56 PM UTC 2026
% Result : Theorem 0.17s 1.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 33 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 15 ~; 9 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f98,axiom,
aElementOf0(xx,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).
fof(f99,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xe,X0) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f100,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xe,X0) = xx ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f131,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f97]) ).
fof(f132,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != xx ),
inference(ennf_transformation,[],[f100]) ).
fof(f229,plain,
! [X0] :
( ( aElementOf0(sK9(X0),szNzAzT0)
& aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK9(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f131]) ).
fof(f325,plain,
! [X0] :
( sdtlpdtrp0(xe,sK9(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f229]) ).
fof(f327,plain,
! [X0] :
( aElementOf0(sK9(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f229]) ).
fof(f328,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f98]) ).
fof(f329,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f535,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(sK9(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(superposition,[],[f329,f325]) ).
fof(f536,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(X0,xO) ),
inference(forward_subsumption_resolution,[],[f535,f327]) ).
fof(f547,plain,
~ aElementOf0(xx,xO),
inference(equality_resolution,[],[f536]) ).
fof(f548,plain,
$false,
inference(forward_subsumption_resolution,[],[f547,f328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM602+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n007.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 20:39:55 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 0.17/1.41 % (1761117)Detected formulas, will run a generic FOF schedule.
% 0.17/1.41 % (1761126)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2572240362:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.41 % (1761126)First to succeed.
% 0.17/1.41 % (1761126)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1761117"
% 0.17/1.41 % (1761123)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=2077904814:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.41 % (1761125)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2748675047:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.41 % (1761122)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=164816912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.41 % (1761124)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=2370286262:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.41 % (1761128)dis-21_1_sil=8000:lcm=predicate:random_seed=1317033387: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)
% 0.17/1.41 % (1761127)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1057621017:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.41 % (1761128)Also succeeded, but the first one will report.
% 0.17/1.41 % (1761127)Also succeeded, but the first one will report.
% 0.17/1.41 % (1761125)Also succeeded, but the first one will report.
% 0.17/1.41 % (1761126)Refutation found. Thanks to Tanya!
% 0.17/1.41 % SZS status Theorem for theBenchmark
% 0.17/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.41 % (1761126)------------------------------
% 0.17/1.41 % (1761126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.41 % (1761126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.41 % (1761126)CaDiCaL version: 2.1.3
% 0.17/1.41 % (1761126)Termination reason: Refutation
% 0.17/1.41 % (1761126)Time elapsed: 0.005 s
% 0.17/1.41 % (1761126)Peak memory usage: 89 MB
% 0.17/1.41 % (1761126)Instructions burned: 10 (million)
% 0.17/1.41 % (1761126)------------------------------
% 0.17/1.41 % (1761126)------------------------------
% 0.17/1.41 % (1761117)Success in time 0.295 s
% 0.17/1.41 % Vampire exiting
%------------------------------------------------------------------------------