TSTP Solution File: LCL686+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 17:45:36 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 3 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 477 ( 198 ~; 160 |; 110 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 114 ( 68 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f193,f206,f220]) ).
fof(f220,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f218,f61]) ).
fof(f61,plain,
( ~ p1(sK6(sK3))
| spl7_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl7_2
<=> p1(sK6(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f218,plain,
( p1(sK6(sK3))
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f217,f22]) ).
fof(f22,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f217,plain,
( ~ r1(sK3,sK3)
| p1(sK6(sK3))
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f210,f58]) ).
fof(f58,plain,
( p2(sK6(sK3))
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl7_1
<=> p2(sK6(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f210,plain,
( ~ p2(sK6(sK3))
| p1(sK6(sK3))
| ~ r1(sK3,sK3) ),
inference(resolution,[],[f107,f25]) ).
fof(f25,plain,
! [X4] :
( r1(X4,sK6(X4))
| ~ r1(sK3,X4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( p3(sK1)
& r1(sK0,sK1)
& p1(sK2)
& r1(sK1,sK2)
& r1(sK0,sK3)
& ! [X4] :
( ~ r1(sK3,X4)
| ( r1(X4,sK4(X4))
& ~ p3(sK5(X4))
& r1(X4,sK5(X4))
& ! [X7] :
( ~ r1(X4,X7)
| ( ( p1(X7)
| ~ p2(X7) )
& ( p2(X7)
| ~ p1(X7) ) ) )
& r1(X4,sK6(X4))
& ( p2(sK6(X4))
| p1(sK6(X4)) )
& ( ~ p1(sK6(X4))
| ~ p2(sK6(X4)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f12,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
( ? [X0] :
( ? [X1] :
( p3(X1)
& r1(X0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X5] : r1(X4,X5)
& ? [X6] :
( ~ p3(X6)
& r1(X4,X6) )
& ! [X7] :
( ~ r1(X4,X7)
| ( ( p1(X7)
| ~ p2(X7) )
& ( p2(X7)
| ~ p1(X7) ) ) )
& ? [X8] :
( r1(X4,X8)
& ( p2(X8)
| p1(X8) )
& ( ~ p1(X8)
| ~ p2(X8) ) ) ) ) ) )
=> ( ? [X1] :
( p3(X1)
& r1(sK0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(sK0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X5] : r1(X4,X5)
& ? [X6] :
( ~ p3(X6)
& r1(X4,X6) )
& ! [X7] :
( ~ r1(X4,X7)
| ( ( p1(X7)
| ~ p2(X7) )
& ( p2(X7)
| ~ p1(X7) ) ) )
& ? [X8] :
( r1(X4,X8)
& ( p2(X8)
| p1(X8) )
& ( ~ p1(X8)
| ~ p2(X8) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X1] :
( p3(X1)
& r1(sK0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
=> ( p3(sK1)
& r1(sK0,sK1)
& ? [X2] :
( p1(X2)
& r1(sK1,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X2] :
( p1(X2)
& r1(sK1,X2) )
=> ( p1(sK2)
& r1(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X3] :
( r1(sK0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X5] : r1(X4,X5)
& ? [X6] :
( ~ p3(X6)
& r1(X4,X6) )
& ! [X7] :
( ~ r1(X4,X7)
| ( ( p1(X7)
| ~ p2(X7) )
& ( p2(X7)
| ~ p1(X7) ) ) )
& ? [X8] :
( r1(X4,X8)
& ( p2(X8)
| p1(X8) )
& ( ~ p1(X8)
| ~ p2(X8) ) ) ) ) )
=> ( r1(sK0,sK3)
& ! [X4] :
( ~ r1(sK3,X4)
| ( ? [X5] : r1(X4,X5)
& ? [X6] :
( ~ p3(X6)
& r1(X4,X6) )
& ! [X7] :
( ~ r1(X4,X7)
| ( ( p1(X7)
| ~ p2(X7) )
& ( p2(X7)
| ~ p1(X7) ) ) )
& ? [X8] :
( r1(X4,X8)
& ( p2(X8)
| p1(X8) )
& ( ~ p1(X8)
| ~ p2(X8) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X4] :
( ? [X5] : r1(X4,X5)
=> r1(X4,sK4(X4)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X4] :
( ? [X6] :
( ~ p3(X6)
& r1(X4,X6) )
=> ( ~ p3(sK5(X4))
& r1(X4,sK5(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X4] :
( ? [X8] :
( r1(X4,X8)
& ( p2(X8)
| p1(X8) )
& ( ~ p1(X8)
| ~ p2(X8) ) )
=> ( r1(X4,sK6(X4))
& ( p2(sK6(X4))
| p1(sK6(X4)) )
& ( ~ p1(sK6(X4))
| ~ p2(sK6(X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0] :
( ? [X1] :
( p3(X1)
& r1(X0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X5] : r1(X4,X5)
& ? [X6] :
( ~ p3(X6)
& r1(X4,X6) )
& ! [X7] :
( ~ r1(X4,X7)
| ( ( p1(X7)
| ~ p2(X7) )
& ( p2(X7)
| ~ p1(X7) ) ) )
& ? [X8] :
( r1(X4,X8)
& ( p2(X8)
| p1(X8) )
& ( ~ p1(X8)
| ~ p2(X8) ) ) ) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ? [X1] :
( p3(X1)
& r1(X0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X7] : r1(X4,X7)
& ? [X5] :
( ~ p3(X5)
& r1(X4,X5) )
& ! [X8] :
( ~ r1(X4,X8)
| ( ( p1(X8)
| ~ p2(X8) )
& ( p2(X8)
| ~ p1(X8) ) ) )
& ? [X6] :
( r1(X4,X6)
& ( p2(X6)
| p1(X6) )
& ( ~ p1(X6)
| ~ p2(X6) ) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) )
| ~ p3(X1) )
| ! [X3] :
( ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ~ ! [X8] :
( ~ r1(X4,X8)
| ~ ( ( p1(X8)
& ~ p2(X8) )
| ( p2(X8)
& ~ p1(X8) ) ) )
| ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ! [X6] :
( ~ r1(X4,X6)
| ( p1(X6)
& p2(X6) )
| ( ~ p2(X6)
& ~ p1(X6) ) )
| ! [X7] : ~ r1(X4,X7) ) )
| ~ r1(X0,X3) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) )
| ~ p3(X1) )
| ! [X3] :
( ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ~ ! [X8] :
( ~ r1(X4,X8)
| ~ ( ( p1(X8)
& ~ p2(X8) )
| ( p2(X8)
& ~ p1(X8) ) ) )
| ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ! [X6] :
( ~ r1(X4,X6)
| ( p1(X6)
& p2(X6) )
| ( ~ p2(X6)
& ~ p1(X6) ) )
| ! [X7] : ~ r1(X4,X7) ) )
| ~ r1(X0,X3) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) )
| ~ p3(X1) )
| ! [X3] :
( ~ ! [X4] :
( ~ ( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ! [X6] :
( ~ r1(X4,X6)
| ( p1(X6)
& p2(X6) )
| ( ~ p2(X6)
& ~ p1(X6) ) )
| ! [X7] :
( ~ r1(X4,X7)
| $false )
| ~ ! [X8] :
( ~ r1(X4,X8)
| ~ ( ( p1(X8)
& ~ p2(X8) )
| ( p2(X8)
& ~ p1(X8) ) ) ) )
| ~ r1(X3,X4) )
| ~ r1(X0,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ p3(X1)
| ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ p3(X1)
| ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f107,plain,
! [X0] :
( ~ r1(sK3,X0)
| p1(X0)
| ~ p2(X0) ),
inference(resolution,[],[f27,f22]) ).
fof(f27,plain,
! [X7,X4] :
( ~ r1(sK3,X4)
| p1(X7)
| ~ r1(X4,X7)
| ~ p2(X7) ),
inference(cnf_transformation,[],[f20]) ).
fof(f206,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| ~ spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f204,f22]) ).
fof(f204,plain,
( ~ r1(sK3,sK3)
| ~ spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f203,f62]) ).
fof(f62,plain,
( p1(sK6(sK3))
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f203,plain,
( ~ p1(sK6(sK3))
| ~ r1(sK3,sK3)
| ~ spl7_1 ),
inference(resolution,[],[f58,f23]) ).
fof(f23,plain,
! [X4] :
( ~ p2(sK6(X4))
| ~ p1(sK6(X4))
| ~ r1(sK3,X4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f193,plain,
( spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f192,f60,f56]) ).
fof(f192,plain,
( p2(sK6(sK3))
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f191,f22]) ).
fof(f191,plain,
( ~ r1(sK3,sK3)
| p2(sK6(sK3))
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f170,f62]) ).
fof(f170,plain,
( ~ p1(sK6(sK3))
| p2(sK6(sK3))
| ~ r1(sK3,sK3) ),
inference(resolution,[],[f94,f25]) ).
fof(f94,plain,
! [X0] :
( ~ r1(sK3,X0)
| p2(X0)
| ~ p1(X0) ),
inference(resolution,[],[f26,f22]) ).
fof(f26,plain,
! [X7,X4] :
( ~ r1(sK3,X4)
| ~ r1(X4,X7)
| p2(X7)
| ~ p1(X7) ),
inference(cnf_transformation,[],[f20]) ).
fof(f63,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f51,f60,f56]) ).
fof(f51,plain,
( p1(sK6(sK3))
| p2(sK6(sK3)) ),
inference(resolution,[],[f24,f22]) ).
fof(f24,plain,
! [X4] :
( ~ r1(sK3,X4)
| p2(sK6(X4))
| p1(sK6(X4)) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 02:53:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (6171)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (6175)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.51 % (6171)First to succeed.
% 0.21/0.51 % (6191)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)
% 0.21/0.51 % (6172)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (6171)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 % (6171)------------------------------
% 0.21/0.51 % (6171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (6171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (6171)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (6171)Memory used [KB]: 6012
% 0.21/0.51 % (6171)Time elapsed: 0.111 s
% 0.21/0.51 % (6171)Instructions burned: 3 (million)
% 0.21/0.51 % (6171)------------------------------
% 0.21/0.51 % (6171)------------------------------
% 0.21/0.51 % (6168)Success in time 0.163 s
%------------------------------------------------------------------------------