TSTP Solution File: PHI012+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PHI012+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 : n002.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 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 173 ( 16 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 205 ( 68 ~; 63 |; 57 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 55 ( 36 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(unit_resulting_resolution,[],[f21,f32,f38,f87,f77,f31]) ).
fof(f31,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X0)
| X0 = X1
| ~ object(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| X0 = X1
| ~ object(X0)
| exemplifies_relation(greater_than,X1,X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X1,X0] :
( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| ~ object(X0)
| ~ object(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
( ( object(X0)
& object(X1) )
=> ( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( object(X0)
& object(X1) )
=> ( exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_of_greater_than) ).
fof(f77,plain,
~ exemplifies_relation(greater_than,sK0(sK1),sK1),
inference(unit_resulting_resolution,[],[f32,f36,f21,f22,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( exemplifies_property(conceivable,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(X0)) ) ) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f18,f19]) ).
fof(f19,plain,
! [X0] :
( ? [X2] :
( exemplifies_property(conceivable,X2)
& exemplifies_relation(greater_than,X2,X0)
& object(X2) )
=> ( exemplifies_property(conceivable,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X2] :
( exemplifies_property(conceivable,X2)
& exemplifies_relation(greater_than,X2,X0)
& object(X2) ) ) )
| ~ object(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ) )
| ~ object(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) ) )
<=> exemplifies_property(none_greater,X0) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
& exemplifies_property(conceivable,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f22,plain,
exemplifies_property(none_greater,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ( sK0(X0) != X0
& object(sK0(X0))
& exemplifies_property(none_greater,sK0(X0)) )
| ~ object(X0) )
& exemplifies_property(none_greater,sK1)
& object(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f14,f13]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& object(X1)
& exemplifies_property(none_greater,X1) )
=> ( sK0(X0) != X0
& object(sK0(X0))
& exemplifies_property(none_greater,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X2] :
( exemplifies_property(none_greater,X2)
& object(X2) )
=> ( exemplifies_property(none_greater,sK1)
& object(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ? [X1] :
( X0 != X1
& object(X1)
& exemplifies_property(none_greater,X1) )
| ~ object(X0) )
& ? [X2] :
( exemplifies_property(none_greater,X2)
& object(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ! [X1] :
( ~ exemplifies_property(none_greater,X1)
| ? [X2] :
( X1 != X2
& object(X2)
& exemplifies_property(none_greater,X2) )
| ~ object(X1) )
& ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ! [X1] :
( ? [X2] :
( X1 != X2
& exemplifies_property(none_greater,X2)
& object(X2) )
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) )
& ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X1] :
( ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X1 = X2 ) )
& exemplifies_property(none_greater,X1)
& object(X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X0 = X1 ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X0 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).
fof(f36,plain,
exemplifies_property(conceivable,sK0(sK1)),
inference(unit_resulting_resolution,[],[f32,f34,f30]) ).
fof(f30,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| exemplifies_property(conceivable,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f34,plain,
exemplifies_property(none_greater,sK0(sK1)),
inference(unit_resulting_resolution,[],[f21,f22,f23]) ).
fof(f23,plain,
! [X0] :
( exemplifies_property(none_greater,sK0(X0))
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f87,plain,
~ exemplifies_relation(greater_than,sK1,sK0(sK1)),
inference(unit_resulting_resolution,[],[f21,f33,f32,f34,f29]) ).
fof(f33,plain,
exemplifies_property(conceivable,sK1),
inference(unit_resulting_resolution,[],[f21,f22,f30]) ).
fof(f38,plain,
sK0(sK1) != sK1,
inference(unit_resulting_resolution,[],[f21,f22,f25]) ).
fof(f25,plain,
! [X0] :
( sK0(X0) != X0
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
object(sK0(sK1)),
inference(unit_resulting_resolution,[],[f21,f22,f24]) ).
fof(f24,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| object(sK0(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
object(sK1),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 30 10:14:43 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.16/0.47 % (30471)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49 % (30473)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)
% 0.16/0.49 % (30479)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49 % (30481)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.49 % (30464)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)
% 0.16/0.49 % (30464)Refutation not found, incomplete strategy% (30464)------------------------------
% 0.16/0.49 % (30464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (30464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (30464)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.49
% 0.16/0.49 % (30464)Memory used [KB]: 5884
% 0.16/0.49 % (30464)Time elapsed: 0.121 s
% 0.16/0.49 % (30464)Instructions burned: 2 (million)
% 0.16/0.49 % (30464)------------------------------
% 0.16/0.49 % (30464)------------------------------
% 0.16/0.49 % (30471)First to succeed.
% 0.16/0.49 % (30471)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (30471)------------------------------
% 0.16/0.49 % (30471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (30471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (30471)Termination reason: Refutation
% 0.16/0.49
% 0.16/0.49 % (30471)Memory used [KB]: 6140
% 0.16/0.49 % (30471)Time elapsed: 0.113 s
% 0.16/0.49 % (30471)Instructions burned: 14 (million)
% 0.16/0.49 % (30471)------------------------------
% 0.16/0.49 % (30471)------------------------------
% 0.16/0.49 % (30457)Success in time 0.174 s
%------------------------------------------------------------------------------