%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI014+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 : n001.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 12:27:28 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 17 unt; 2 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 268 ( 112 ~; 112 |; 32 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 63 ( 0 sgn 55 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [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(f2,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( property(X1)
& object(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f3,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ~ ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f4,axiom,
! [X0] :
( object(X0)
=> ( ( is_the(X0,none_greater)
& ~ exemplifies_property(existence,X0) )
=> ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f7]) ).
fof(f9,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,[],[f1]) ).
fof(f10,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ~ property(X0) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ( property(X1)
& object(X0) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ object(X2)
| ~ is_the(X2,X0) )
| ~ property(X0) ),
inference(rectify,[],[f10]) ).
fof(f16,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( object(sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& exemplifies_property(conceivable,sK0(X0)) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f18]) ).
fof(f20,plain,
! [X0] :
( ( object(sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0)
& exemplifies_property(conceivable,sK1(X0)) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f14]) ).
fof(f21,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X2)
| ~ is_the(X2,X0)
| ~ property(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X2,X0] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ~ object(X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK1(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0] :
( ~ object(X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK1(X0),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0] :
( ~ object(X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| object(sK1(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f32,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ is_the(X2,X0)
| ~ property(X0) ),
inference(forward_subsumption_resolution,[],[f21,f22]) ).
fof(f35,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ is_the(X2,X0)
| ~ property(X0) ),
inference(forward_subsumption_resolution,[],[f34,f22]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| exemplifies_property(X0,X1)
| ~ is_the(X2,X0) ),
inference(forward_subsumption_resolution,[],[f35,f23]) ).
fof(f37,plain,
object(god),
inference(resolution,[],[f22,f32]) ).
fof(f45,definition,
( spl2_2
<=> exemplifies_property(none_greater,god) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f46,plain,
( exemplifies_property(none_greater,god)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( ~ exemplifies_property(none_greater,god)
| spl2_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,plain,
! [X0] :
( exemplifies_property(none_greater,god)
| ~ is_the(X0,none_greater) ),
inference(resolution,[],[f36,f32]) ).
fof(f50,plain,
( ! [X0] : ~ is_the(X0,none_greater)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f49,f47]) ).
fof(f51,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f50,f32]) ).
fof(f52,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f54,plain,
( ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| object(sK1(god)) ),
inference(resolution,[],[f31,f37]) ).
fof(f55,plain,
( exemplifies_property(existence,god)
| object(sK1(god)) ),
inference(forward_subsumption_resolution,[],[f54,f32]) ).
fof(f56,plain,
object(sK1(god)),
inference(forward_subsumption_resolution,[],[f55,f33]) ).
fof(f61,definition,
( spl2_3
<=> exemplifies_property(conceivable,sK1(god)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f62,plain,
( ~ exemplifies_property(conceivable,sK1(god))
| spl2_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( exemplifies_property(conceivable,sK1(god))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f89,plain,
( ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| exemplifies_property(conceivable,sK1(god)) ),
inference(resolution,[],[f29,f37]) ).
fof(f91,plain,
( exemplifies_property(existence,god)
| exemplifies_property(conceivable,sK1(god)) ),
inference(forward_subsumption_resolution,[],[f89,f32]) ).
fof(f92,plain,
exemplifies_property(conceivable,sK1(god)),
inference(forward_subsumption_resolution,[],[f91,f33]) ).
fof(f93,plain,
( $false
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f92,f62]) ).
fof(f94,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f101,plain,
( ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| exemplifies_relation(greater_than,sK1(god),god) ),
inference(resolution,[],[f30,f37]) ).
fof(f103,plain,
( exemplifies_property(existence,god)
| exemplifies_relation(greater_than,sK1(god),god) ),
inference(forward_subsumption_resolution,[],[f101,f32]) ).
fof(f104,plain,
exemplifies_relation(greater_than,sK1(god),god),
inference(forward_subsumption_resolution,[],[f103,f33]) ).
fof(f166,plain,
! [X0] :
( ~ exemplifies_relation(greater_than,sK1(god),X0)
| ~ exemplifies_property(conceivable,sK1(god))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[],[f24,f56]) ).
fof(f168,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_relation(greater_than,sK1(god),X0) )
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f166,f63]) ).
fof(f175,plain,
( ~ exemplifies_property(none_greater,god)
| ~ exemplifies_relation(greater_than,sK1(god),god)
| ~ spl2_3 ),
inference(resolution,[],[f168,f37]) ).
fof(f179,plain,
( ~ exemplifies_relation(greater_than,sK1(god),god)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f175,f46]) ).
fof(f180,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f179,f104]) ).
fof(f181,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f180]) ).
cnf(s2,plain,
spl2_2,
inference(sat_conversion,[],[f52]) ).
cnf(s6,plain,
spl2_3,
inference(sat_conversion,[],[f94]) ).
cnf(s17,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f181]) ).
cnf(s18,plain,
~ spl2_2,
inference(rat,[],[s17,s6]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s2,s18]) ).
fof(f182,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n001.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 22:13:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.47 % (4011539)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (4011549)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3854685304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (4011549) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4011539-4011549"...
% 0.17/0.47 % (4011545)% WARNING: option uhcvi not known.
% 0.17/0.47 % (4011549)...printing done.
% 0.17/0.47 % (4011549)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (4011549)------------------------------
% 0.17/0.47 % (4011549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (4011549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (4011549)CaDiCaL version: 2.1.3
% 0.17/0.47 % (4011549)Termination reason: Refutation
% 0.17/0.47 % (4011549)Time elapsed: 0.002 s
% 0.17/0.47 % (4011549)Peak memory usage: 12 MB
% 0.17/0.47 % (4011549)Instructions burned: 3 (million)
% 0.17/0.47 % (4011539)Success in time 0.035 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------