%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG086+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:35:59 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 49 ( 12 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 48 ( 13 ~; 7 |; 28 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 4 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
fof(f27,conjecture,
? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& xx = sdtpldt0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& xx = sdtpldt0(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f34,plain,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xy = sdtpldt0(X2,X3) )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(rectify,[],[f26]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtpldt0(X0,X1) != xx ),
inference(ennf_transformation,[],[f28]) ).
fof(f82,plain,
( aElementOf0(sK10,xI)
& aElementOf0(sK11,xJ)
& xx = sdtpldt0(sK10,sK11)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(sK12,xI)
& aElementOf0(sK13,xJ)
& xy = sdtpldt0(sK12,sK13)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13)],[f34]) ).
fof(f147,plain,
xx = sdtpldt0(sK10,sK11),
inference(cnf_transformation,[],[f82]) ).
fof(f148,plain,
aElementOf0(sK11,xJ),
inference(cnf_transformation,[],[f82]) ).
fof(f149,plain,
aElementOf0(sK10,xI),
inference(cnf_transformation,[],[f82]) ).
fof(f150,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xx
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f188,plain,
( xx != xx
| ~ aElementOf0(sK11,xJ)
| ~ aElementOf0(sK10,xI) ),
inference(superposition,[],[f150,f147]) ).
fof(f189,plain,
( ~ aElementOf0(sK11,xJ)
| ~ aElementOf0(sK10,xI) ),
inference(trivial_inequality_removal,[],[f188]) ).
fof(f190,plain,
~ aElementOf0(sK10,xI),
inference(forward_subsumption_resolution,[],[f189,f148]) ).
fof(f191,plain,
$false,
inference(forward_subsumption_resolution,[],[f190,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG086+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:15:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % (2122447)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (2122454)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=798143589:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.44 % (2122454) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2122447-2122454"...
% 0.11/0.44 % (2122454)...printing done.
% 0.11/0.44 % (2122454)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (2122454)------------------------------
% 0.11/0.44 % (2122454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (2122454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (2122454)CaDiCaL version: 2.1.3
% 0.11/0.44 % (2122454)Termination reason: Refutation
% 0.11/0.44 % (2122454)Time elapsed: 0.002 s
% 0.11/0.44 % (2122454)Peak memory usage: 12 MB
% 0.11/0.44 % (2122454)Instructions burned: 4 (million)
% 0.11/0.44 % (2122447)Success in time 0.035 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------