%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 168 ( 73 ~; 71 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 51 ( 46 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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(f3,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(f4,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(f7,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(f8,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f9,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f10,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f12,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f10]) ).
fof(f15,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,[],[f2]) ).
fof(f16,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ~ property(X0) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( property(X1)
& object(X0) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
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) ) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f21,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,[],[f7]) ).
fof(f22,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,[],[f21]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X2)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X0,X1] :
( ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X0)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0)
| exemplifies_property(conceivable,sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0] :
( exemplifies_relation(greater_than,sK5(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0)
| object(sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f12]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X2)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ),
inference(forward_subsumption_resolution,[],[f29,f31]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| ~ object(X2)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ),
inference(forward_subsumption_resolution,[],[f64,f30]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ),
inference(forward_subsumption_resolution,[],[f65,f30]) ).
fof(f76,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(none_greater,X0) ),
inference(resolution,[],[f66,f45]) ).
fof(f118,plain,
! [X0] :
( ~ exemplifies_property(conceivable,sK5(X0))
| ~ object(X0)
| ~ object(sK5(X0))
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(resolution,[],[f35,f43]) ).
fof(f119,plain,
! [X0] :
( ~ exemplifies_property(conceivable,sK5(X0))
| ~ object(X0)
| ~ object(sK5(X0))
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ exemplifies_property(conceivable,sK5(X0))
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[],[f119,f44]) ).
fof(f121,plain,
! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[],[f120,f42]) ).
fof(f122,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[],[f121,f30]) ).
fof(f123,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f122,f76]) ).
fof(f133,plain,
exemplifies_property(existence,god),
inference(resolution,[],[f123,f45]) ).
fof(f137,plain,
$false,
inference(forward_subsumption_resolution,[],[f133,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n013.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 22:06:36 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.46 Running first-order model finding
% 0.13/0.46 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
% 0.21/0.52 % (599963)Will run a generic schedule for satisfiability detection.
% 0.21/0.52 % (599968)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=221514016_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.52 % TRYING [1]
% 0.21/0.52 % TRYING [2]
% 0.21/0.52 % TRYING [3]
% 0.21/0.52 % TRYING [4]
% 0.21/0.52 % TRYING [5]
% 0.21/0.52 % TRYING [6]
% 0.21/0.52 % (599969)% WARNING: option uhcvi not known.
% 0.21/0.52 % TRYING [7]
% 0.21/0.52 % TRYING [8]
% 0.21/0.52 % (599971)dis+10_1_sil=32000:sp=arity:random_seed=1673844644:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.52 % (599969)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=935965768:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.52 % (599970)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2897862632:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.52 % (599972)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2867422858:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.52 % (599974)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2176297641:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.52 % (599973)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1008974272:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.52 % TRYING [9]
% 0.21/0.52 % (599972) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-599963-599972"...
% 0.21/0.52 % (599971) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-599963-599971"...
% 0.21/0.52 % (599974) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-599963-599974"...
% 0.21/0.52 % (599972)...printing done.
% 0.21/0.52 % (599973) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-599963-599973"...
% 0.21/0.52 % (599971)...printing done.
% 0.21/0.52 % (599972)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (599972)------------------------------
% 0.21/0.52 % (599972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.52 % (599972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.52 % (599972)CaDiCaL version: 2.1.3
% 0.21/0.52 % (599972)Termination reason: Refutation
% 0.21/0.52 % (599972)Time elapsed: 0.006 s
% 0.21/0.52 % (599972)Peak memory usage: 12 MB
% 0.21/0.52 % (599972)Instructions burned: 4 (million)
% 0.21/0.52 % (599963)Success in time 0.044 s
% 0.21/0.52 % Vampire exiting
%------------------------------------------------------------------------------