%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO085+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 : n005.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 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 58 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 29 ~; 19 |; 9 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',open_defn) ).
fof(f13,axiom,
! [X0,X1] :
( end_point(X1,X0)
=> ? [X2] :
( end_point(X2,X0)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c6) ).
fof(f17,conjecture,
! [X0] :
( open(X0)
=> ? [X1,X2] :
( X1 != X2
& end_point(X1,X0)
& end_point(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( open(X0)
=> ? [X1,X2] :
( X1 != X2
& end_point(X1,X0)
& end_point(X2,X0) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0] :
( open(X0)
=> ? [X1] : end_point(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f27,plain,
! [X0] :
( ? [X1] : end_point(X1,X0)
| ~ open(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2] :
( end_point(X2,X0)
& X1 != X2 )
| ~ end_point(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f40,plain,
? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ end_point(X1,X0)
| ~ end_point(X2,X0) )
& open(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f59,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( ( end_point(sK10(X0,X1),X0)
& sK10(X0,X1) != X1 )
| ~ end_point(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f35]) ).
fof(f67,plain,
( ! [X1,X2] :
( X1 = X2
| ~ end_point(X1,sK13)
| ~ end_point(X2,sK13) )
& open(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f40]) ).
fof(f96,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] :
( sK10(X0,X1) != X1
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f104,plain,
! [X0,X1] :
( end_point(sK10(X0,X1),X0)
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
open(sK13),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
! [X2,X1] :
( ~ end_point(X2,sK13)
| ~ end_point(X1,sK13)
| X1 = X2 ),
inference(cnf_transformation,[],[f67]) ).
fof(f179,plain,
! [X0] :
( ~ open(sK13)
| ~ end_point(X0,sK13)
| sK6(sK13) = X0 ),
inference(resolution,[],[f96,f110]) ).
fof(f182,plain,
! [X0] :
( ~ end_point(X0,sK13)
| sK6(sK13) = X0 ),
inference(forward_subsumption_resolution,[],[f179,f109]) ).
fof(f213,plain,
! [X0] :
( ~ end_point(X0,sK13)
| sK6(sK13) = sK10(sK13,X0) ),
inference(resolution,[],[f104,f182]) ).
fof(f220,plain,
( sK6(sK13) = sK10(sK13,sK6(sK13))
| ~ open(sK13) ),
inference(resolution,[],[f213,f96]) ).
fof(f227,plain,
sK6(sK13) = sK10(sK13,sK6(sK13)),
inference(forward_subsumption_resolution,[],[f220,f109]) ).
fof(f238,plain,
( sK6(sK13) != sK6(sK13)
| ~ end_point(sK6(sK13),sK13) ),
inference(superposition,[],[f103,f227]) ).
fof(f239,plain,
~ end_point(sK6(sK13),sK13),
inference(trivial_inequality_removal,[],[f238]) ).
fof(f240,plain,
~ open(sK13),
inference(resolution,[],[f239,f96]) ).
fof(f241,plain,
$false,
inference(forward_subsumption_resolution,[],[f240,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO085+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 06:53:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.43 % (3639282)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (3639289)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=333198735:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.43 % (3639289) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3639282-3639289"...
% 0.09/0.43 % (3639289)...printing done.
% 0.09/0.43 % (3639288)% WARNING: option uhcvi not known.
% 0.09/0.43 % (3639289)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Theorem for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (3639289)------------------------------
% 0.09/0.43 % (3639289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (3639289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (3639289)CaDiCaL version: 2.1.3
% 0.09/0.43 % (3639289)Termination reason: Refutation
% 0.09/0.43 % (3639289)Time elapsed: 0.003 s
% 0.09/0.43 % (3639289)Peak memory usage: 12 MB
% 0.09/0.43 % (3639289)Instructions burned: 5 (million)
% 0.09/0.43 % (3639282)Success in time 0.032 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------