%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:27:27 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 68 ( 4 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 82 ( 32 ~; 25 |; 15 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( ( object(X0)
& property(X1)
& object(X2) )
=> ( ( is_the(X0,X1)
& X0 = X2 )
=> exemplifies_property(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f5,conjecture,
! [X0] :
( property(X0)
=> ( ? [X1] :
( object(X1)
& is_the(X1,X0) )
=> ! [X2] :
( object(X2)
=> ( is_the(X2,X0)
=> exemplifies_property(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
fof(f6,negated_conjecture,
~ ! [X0] :
( property(X0)
=> ( ? [X1] :
( object(X1)
& is_the(X1,X0) )
=> ! [X2] :
( object(X2)
=> ( is_the(X2,X0)
=> exemplifies_property(X0,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f10,plain,
! [X0,X1,X2] :
( exemplifies_property(X1,X2)
| ~ is_the(X0,X1)
| X0 != X2
| ~ object(X0)
| ~ property(X1)
| ~ object(X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] :
( exemplifies_property(X1,X2)
| ~ is_the(X0,X1)
| X0 != X2
| ~ object(X0)
| ~ property(X1)
| ~ object(X2) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
? [X0] :
( ? [X2] :
( ~ exemplifies_property(X0,X2)
& is_the(X2,X0)
& object(X2) )
& ? [X1] :
( object(X1)
& is_the(X1,X0) )
& property(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
? [X0] :
( ? [X2] :
( ~ exemplifies_property(X0,X2)
& is_the(X2,X0)
& object(X2) )
& ? [X1] :
( object(X1)
& is_the(X1,X0) )
& property(X0) ),
inference(flattening,[],[f12]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ object(X2)
| ~ property(X1)
| ~ object(X0)
| X0 != X2
| ~ is_the(X0,X1)
| exemplifies_property(X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
object(sK2),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
is_the(sK2,sK0),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
~ exemplifies_property(sK0,sK2),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
property(sK0),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X2,X1] :
( ~ object(X2)
| ~ property(X1)
| ~ object(X2)
| ~ is_the(X2,X1)
| exemplifies_property(X1,X2) ),
inference(equality_resolution,[],[f19]) ).
fof(f27,plain,
! [X2,X1] :
( exemplifies_property(X1,X2)
| ~ property(X1)
| ~ is_the(X2,X1)
| ~ object(X2) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f34,plain,
( ~ property(sK0)
| ~ is_the(sK2,sK0)
| ~ object(sK2) ),
inference(resolution,[],[f27,f22]) ).
fof(f35,plain,
( ~ is_the(sK2,sK0)
| ~ object(sK2) ),
inference(forward_subsumption_resolution,[],[f34,f25]) ).
fof(f36,plain,
~ object(sK2),
inference(forward_subsumption_resolution,[],[f35,f21]) ).
fof(f37,plain,
$false,
inference(forward_subsumption_resolution,[],[f36,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n011.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:07:15 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 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
% 0.15/0.47 % (2804581)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2804590)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3699739871:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (2804590) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2804581-2804590"...
% 0.15/0.47 % (2804590)...printing done.
% 0.15/0.47 % (2804587)% WARNING: option uhcvi not known.
% 0.15/0.47 % (2804590)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2804590)------------------------------
% 0.15/0.47 % (2804590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (2804590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (2804590)CaDiCaL version: 2.1.3
% 0.15/0.47 % (2804590)Termination reason: Refutation
% 0.15/0.47 % (2804590)Time elapsed: 0.001 s
% 0.15/0.47 % (2804590)Peak memory usage: 11 MB
% 0.15/0.47 % (2804590)Instructions burned: 1 (million)
% 0.15/0.47 % (2804581)Success in time 0.031 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------