TSTP Solution File: PHI014+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:08:16 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 9 unt; 0 def)
% Number of atoms : 210 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 264 ( 102 ~; 98 |; 47 &)
% ( 3 <=>; 14 =>; 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 : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 75 ( 63 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(resolution,[],[f79,f37]) ).
fof(f37,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f79,plain,
! [X1] : ~ is_the(X1,none_greater),
inference(subsumption_resolution,[],[f69,f37]) ).
fof(f69,plain,
! [X1] :
( ~ is_the(X1,none_greater)
| ~ is_the(god,none_greater) ),
inference(resolution,[],[f67,f52]) ).
fof(f52,plain,
~ exemplifies_property(none_greater,god),
inference(subsumption_resolution,[],[f51,f37]) ).
fof(f51,plain,
( ~ exemplifies_property(none_greater,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[],[f50,f35]) ).
fof(f35,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f7]) ).
fof(f7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f50,plain,
! [X1] :
( exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater)
| ~ exemplifies_property(none_greater,X1) ),
inference(subsumption_resolution,[],[f49,f43]) ).
fof(f43,plain,
! [X0] :
( exemplifies_property(conceivable,sK1(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f32,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ is_the(X1,X0)
| object(X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ is_the(X1,X0)
| ( object(X1)
& property(X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( is_the(X1,X0)
=> ( object(X1)
& property(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X3] :
( is_the(X3,X0)
=> ( object(X3)
& property(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f32,plain,
! [X0] :
( exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(conceivable,sK1(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( exemplifies_property(existence,X0)
| ( object(sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0)
& exemplifies_property(conceivable,sK1(X0)) )
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f15,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
=> ( object(sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0)
& exemplifies_property(conceivable,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( exemplifies_property(existence,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( object(X0)
=> ( ( ~ exemplifies_property(existence,X0)
& is_the(X0,none_greater) )
=> ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3] :
( object(X3)
=> ( ( ~ exemplifies_property(existence,X3)
& is_the(X3,none_greater) )
=> ? [X1] :
( object(X1)
& exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f49,plain,
! [X1] :
( ~ exemplifies_property(conceivable,sK1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ is_the(X1,none_greater)
| exemplifies_property(existence,X1) ),
inference(subsumption_resolution,[],[f48,f40]) ).
fof(f40,plain,
! [X0] :
( exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| object(sK1(X0)) ),
inference(subsumption_resolution,[],[f34,f31]) ).
fof(f34,plain,
! [X0] :
( exemplifies_property(existence,X0)
| object(sK1(X0))
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X1] :
( ~ object(sK1(X1))
| ~ exemplifies_property(conceivable,sK1(X1))
| exemplifies_property(existence,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ is_the(X1,none_greater) ),
inference(subsumption_resolution,[],[f46,f31]) ).
fof(f46,plain,
! [X1] :
( ~ exemplifies_property(conceivable,sK1(X1))
| exemplifies_property(existence,X1)
| ~ object(X1)
| ~ is_the(X1,none_greater)
| ~ object(sK1(X1))
| ~ exemplifies_property(none_greater,X1) ),
inference(resolution,[],[f25,f44]) ).
fof(f44,plain,
! [X0] :
( exemplifies_relation(greater_than,sK1(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f33,f31]) ).
fof(f33,plain,
! [X0] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| exemplifies_relation(greater_than,sK1(X0),X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f24]) ).
fof(f25,plain,
! [X2,X0] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ object(X0)
| ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0))
& exemplifies_property(conceivable,sK0(X0)) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) )
=> ( exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0))
& exemplifies_property(conceivable,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ~ object(X0)
| ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ object(X0)
| ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ~ object(X0)
| ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ~ object(X0)
| ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1)
| ~ exemplifies_property(conceivable,X1) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( object(X0)
=> ( ( ~ ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1)
& object(X1) )
& exemplifies_property(conceivable,X0) )
<=> exemplifies_property(none_greater,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3] :
( object(X3)
=> ( exemplifies_property(none_greater,X3)
<=> ( exemplifies_property(conceivable,X3)
& ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X3)
& object(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f67,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ is_the(X1,X0) ),
inference(subsumption_resolution,[],[f66,f31]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ is_the(X2,X0)
| ~ object(X1)
| ~ is_the(X1,X0)
| exemplifies_property(X0,X2) ),
inference(subsumption_resolution,[],[f65,f31]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| ~ is_the(X2,X0)
| ~ object(X2)
| exemplifies_property(X0,X2)
| ~ object(X1) ),
inference(subsumption_resolution,[],[f36,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ is_the(X1,X0)
| property(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ object(X2)
| exemplifies_property(X0,X2)
| ~ property(X0)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ is_the(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ! [X2] :
( exemplifies_property(X0,X2)
| ~ object(X2)
| ~ is_the(X2,X0) )
| ~ property(X0) ),
inference(flattening,[],[f12]) ).
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,[],[f1]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:17:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (27431)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (27422)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50 % (27416)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.50 % (27422)Refutation not found, incomplete strategy% (27422)------------------------------
% 0.21/0.50 % (27422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (27422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (27422)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (27422)Memory used [KB]: 5884
% 0.21/0.50 % (27422)Time elapsed: 0.110 s
% 0.21/0.50 % (27422)Instructions burned: 2 (million)
% 0.21/0.50 % (27422)------------------------------
% 0.21/0.50 % (27422)------------------------------
% 0.21/0.51 % (27416)First to succeed.
% 0.21/0.51 % (27416)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (27416)------------------------------
% 0.21/0.51 % (27416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (27416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (27416)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (27416)Memory used [KB]: 5884
% 0.21/0.51 % (27416)Time elapsed: 0.101 s
% 0.21/0.51 % (27416)Instructions burned: 3 (million)
% 0.21/0.51 % (27416)------------------------------
% 0.21/0.51 % (27416)------------------------------
% 0.21/0.51 % (27412)Success in time 0.154 s
%------------------------------------------------------------------------------