%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:27:20 PM UTC 2026
% Result : Theorem 0.26s 0.78s
% Output : Refutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 15 unt; 3 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 279 ( 118 ~; 116 |; 32 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 68 ( 0 sgn 60 !; 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/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
fof(f2,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( property(X1)
& object(X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/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] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X2,X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ object(X2)
| ~ object(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( exemplifies_property(conceivable,sK1(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0] :
( exemplifies_relation(greater_than,sK1(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0] :
( object(sK1(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(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,
! [X0] :
( object(sK1(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f31,f22]) ).
fof(f35,plain,
! [X0] :
( exemplifies_property(conceivable,sK1(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f29,f22]) ).
fof(f36,plain,
! [X0] :
( exemplifies_relation(greater_than,sK1(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f30,f22]) ).
fof(f37,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(f38,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ is_the(X2,X0)
| ~ property(X0) ),
inference(forward_subsumption_resolution,[],[f37,f22]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| exemplifies_property(X0,X1)
| ~ is_the(X2,X0) ),
inference(forward_subsumption_resolution,[],[f38,f23]) ).
fof(f41,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| exemplifies_property(X1,X0) ),
inference(factoring,[],[f39]) ).
fof(f46,definition,
( spl2_2
<=> exemplifies_property(none_greater,god) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f48,plain,
( exemplifies_property(none_greater,god)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,X0,god)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ object(god) )
| ~ spl2_2 ),
inference(resolution,[],[f48,f24]) ).
fof(f52,definition,
( spl2_3
<=> object(god) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f54,plain,
( ~ object(god)
| spl2_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl2_4
<=> ! [X0] :
( ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f57,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X0) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( ~ spl2_3
| spl2_4
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f50,f46,f56,f52]) ).
fof(f59,plain,
( ! [X0] : ~ is_the(god,X0)
| spl2_3 ),
inference(resolution,[],[f54,f22]) ).
fof(f60,plain,
exemplifies_property(none_greater,god),
inference(resolution,[],[f41,f32]) ).
fof(f61,plain,
( $false
| spl2_3 ),
inference(resolution,[],[f59,f32]) ).
fof(f62,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f64,plain,
( ~ object(sK1(god))
| ~ exemplifies_property(conceivable,sK1(god))
| ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| ~ spl2_4 ),
inference(resolution,[],[f57,f36]) ).
fof(f65,plain,
( ~ exemplifies_property(conceivable,sK1(god))
| ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f64,f34]) ).
fof(f67,plain,
( ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f65,f35]) ).
fof(f69,plain,
( exemplifies_property(existence,god)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f67,f32]) ).
fof(f70,plain,
( $false
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f69,f33]) ).
fof(f71,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f72,plain,
spl2_2,
inference(avatar_split_clause,[],[f60,f46]) ).
cnf(s2,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f58]) ).
cnf(s3,plain,
spl2_3,
inference(sat_conversion,[],[f62]) ).
cnf(s4,plain,
~ spl2_4,
inference(sat_conversion,[],[f71]) ).
cnf(s5,plain,
spl2_2,
inference(sat_conversion,[],[f72]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s4,s3,s5]) ).
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 22:06:49 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.78 % (2798352)Detected formulas, will run a generic FOF schedule.
% 0.26/0.78 % (2798360)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=541269653:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.26/0.78 % (2798358)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2083796913:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.26/0.78 % (2798357)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3386158065:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.26/0.78 % (2798359)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3234161292:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.26/0.78 % (2798360)Refutation not found, incomplete strategy
% 0.26/0.78 % (2798360)------------------------------
% 0.26/0.78 % (2798360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/0.78 % (2798360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.78 % (2798360)CaDiCaL version: 2.1.3
% 0.26/0.78 % (2798360)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.78 % (2798360)Time elapsed: 0.0000 s
% 0.26/0.78 % (2798360)Peak memory usage: 87 MB
% 0.26/0.78 % (2798363)dis-21_1_sil=8000:lcm=predicate:random_seed=584402480:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.26/0.78 % (2798362)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1503789884:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.26/0.78 % (2798361)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2985942258:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.26/0.78 % (2798361)Refutation not found, incomplete strategy
% 0.26/0.78 % (2798361)------------------------------
% 0.26/0.78 % (2798361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/0.78 % (2798361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.78 % (2798361)CaDiCaL version: 2.1.3
% 0.26/0.78 % (2798361)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.78 % (2798361)Time elapsed: 0.001 s
% 0.26/0.78 % (2798361)Peak memory usage: 88 MB
% 0.26/0.78 % (2798362)First to succeed.
% 0.26/0.78 % (2798363)Also succeeded, but the first one will report.
% 0.26/0.78 % (2798362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2798352"
% 0.26/0.78 % (2798360)------------------------------
% 0.26/0.78 % (2798360)------------------------------
% 0.26/0.78 % (2798361)------------------------------
% 0.26/0.78 % (2798361)------------------------------
% 0.26/0.78 % (2798362)Refutation found. Thanks to Tanya!
% 0.26/0.78 % SZS status Theorem for theBenchmark
% 0.26/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.01/0.87 % (2798362)------------------------------
% 2.01/0.87 % (2798362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.01/0.87 % (2798362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.87 % (2798362)CaDiCaL version: 2.1.3
% 2.01/0.87 % (2798362)Termination reason: Refutation
% 2.01/0.87 % (2798362)Time elapsed: 0.002 s
% 2.01/0.87 % (2798362)Peak memory usage: 89 MB
% 2.01/0.87 % (2798362)Instructions burned: 3 (million)
% 2.01/0.87 % (2798362)------------------------------
% 2.01/0.87 % (2798362)------------------------------
% 2.01/0.87 % (2798352)Success in time 0.263 s
% 2.01/0.87 % Vampire exiting
%------------------------------------------------------------------------------