%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG095+2 : 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 : n014.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 12:35:29 PM UTC 2026
% Result : Theorem 3.48s 1.44s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 46 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 15 |; 13 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 13 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f29,axiom,
! [X0] :
( aElement0(X0)
=> ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(f31,conjecture,
? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = sz10 ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f75,plain,
! [X0] :
( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sz10 != sdtpldt0(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f96,plain,
! [X0] :
( ( aElementOf0(sK13(X0),xI)
& aElementOf0(sK14(X0),xJ)
& sdtpldt0(sK13(X0),sK14(X0)) = X0
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ aElement0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f75]) ).
fof(f98,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
! [X0] :
( sdtpldt0(sK13(X0),sK14(X0)) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f166,plain,
! [X0] :
( aElementOf0(sK14(X0),xJ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f167,plain,
! [X0] :
( aElementOf0(sK13(X0),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f170,plain,
! [X0,X1] :
( sz10 != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f76]) ).
fof(f234,plain,
! [X0] :
( sz10 != X0
| ~ aElementOf0(sK14(X0),xJ)
| ~ aElementOf0(sK13(X0),xI)
| ~ aElement0(X0) ),
inference(superposition,[],[f170,f165]) ).
fof(f235,plain,
! [X0] :
( sz10 != X0
| ~ aElementOf0(sK13(X0),xI)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f234,f166]) ).
fof(f236,plain,
! [X0] :
( sz10 != X0
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f235,f167]) ).
fof(f237,plain,
~ aElement0(sz10),
inference(equality_resolution,[],[f236]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[],[f237,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG095+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 23:14:16 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 3.48/1.44 % (1278700)Detected formulas, will run a generic FOF schedule.
% 3.48/1.44 % (1278706)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=1182224394:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.48/1.44 % (1278705)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=4073924409:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.48/1.44 % (1278710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1314770555:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.48/1.44 % (1278711)dis-21_1_sil=8000:lcm=predicate:random_seed=2455175095: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)
% 3.48/1.44 % (1278709)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3481502089:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.48/1.44 % (1278708)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2699221106:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.48/1.44 % (1278707)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=3303526148:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.48/1.44 % (1278710)First to succeed.
% 3.48/1.44 % (1278710)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1278700"
% 3.48/1.44 % (1278709)Also succeeded, but the first one will report.
% 3.48/1.44 % (1278711)Also succeeded, but the first one will report.
% 3.48/1.44 % (1278708)Also succeeded, but the first one will report.
% 3.48/1.44 % (1278710)Refutation found. Thanks to Tanya!
% 3.48/1.44 % SZS status Theorem for theBenchmark
% 3.48/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.44 % (1278710)------------------------------
% 3.48/1.44 % (1278710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.44 % (1278710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.44 % (1278710)CaDiCaL version: 2.1.3
% 3.48/1.44 % (1278710)Termination reason: Refutation
% 3.48/1.44 % (1278710)Time elapsed: 0.005 s
% 3.48/1.44 % (1278710)Peak memory usage: 89 MB
% 3.48/1.44 % (1278710)Instructions burned: 6 (million)
% 3.48/1.44 % (1278710)------------------------------
% 3.48/1.44 % (1278710)------------------------------
% 3.48/1.44 % (1278700)Success in time 0.412 s
% 3.48/1.44 % Vampire exiting
%------------------------------------------------------------------------------