%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:53:32 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 10 ~; 7 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( ( part_of(X1,X0)
& X1 != X0 )
=> open(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c1) ).
fof(f17,conjecture,
! [X0,X1] :
( ( open(X0)
& part_of(X1,X0) )
=> open(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( open(X0)
& part_of(X1,X0) )
=> open(X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f26]) ).
fof(f38,plain,
? [X0,X1] :
( ~ open(X1)
& open(X0)
& part_of(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f39,plain,
? [X0,X1] :
( ~ open(X1)
& open(X0)
& part_of(X1,X0) ),
inference(flattening,[],[f38]) ).
fof(f68,plain,
( ~ open(sK14)
& open(sK13)
& part_of(sK14,sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f39]) ).
fof(f99,plain,
! [X0,X1] :
( ~ part_of(X1,X0)
| open(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f111,plain,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
open(sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
~ open(sK14),
inference(cnf_transformation,[],[f68]) ).
fof(f127,plain,
( open(sK14)
| sK13 = sK14 ),
inference(resolution,[],[f99,f111]) ).
fof(f129,plain,
sK13 = sK14,
inference(forward_subsumption_resolution,[],[f127,f113]) ).
fof(f132,plain,
~ open(sK13),
inference(superposition,[],[f113,f129]) ).
fof(f133,plain,
$false,
inference(forward_subsumption_resolution,[],[f132,f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.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 06:51:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (1055905)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1055913)dis+10_1_sil=32000:sp=arity:random_seed=2853279878:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (1055913) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1055905-1055913"...
% 0.11/0.45 % (1055913)...printing done.
% 0.11/0.45 % (1055913)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1055913)------------------------------
% 0.11/0.45 % (1055913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1055913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1055913)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1055913)Termination reason: Refutation
% 0.11/0.45 % (1055913)Time elapsed: 0.001 s
% 0.11/0.45 % (1055913)Peak memory usage: 11 MB
% 0.11/0.45 % (1055913)Instructions burned: 2 (million)
% 0.11/0.45 % (1055905)Success in time 0.025 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------