TSTP Solution File: SYN067+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : 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 19:25:25 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 123 ( 2 unt; 0 def)
% Number of atoms : 635 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 810 ( 298 ~; 336 |; 143 &)
% ( 17 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 204 ( 127 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f653,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f63,f67,f78,f83,f88,f143,f282,f295,f386,f412,f469,f652]) ).
fof(f652,plain,
( spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f651,plain,
( $false
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f636,f535]) ).
fof(f535,plain,
( big_r(sK7(sK2),sK8(sK2))
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(unit_resulting_resolution,[],[f470,f69,f66,f471,f37]) ).
fof(f37,plain,
! [X0,X6] :
( ~ big_p(X6)
| ~ big_p(a)
| ~ sP0(X0)
| big_r(sK7(X0),sK8(X0))
| ~ big_r(X0,X6) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( sP0(X0)
| ( big_p(a)
& ! [X1,X2] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(X0,X1) )
& big_p(sK6(X0))
& big_r(X0,sK6(X0)) ) )
& ( ~ big_p(a)
| ( big_p(sK8(X0))
& big_r(sK7(X0),sK8(X0))
& big_r(X0,sK7(X0)) )
| ! [X6] :
( ~ big_p(X6)
| ~ big_r(X0,X6) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f17,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( big_p(X3)
& big_r(X0,X3) )
=> ( big_p(sK6(X0))
& big_r(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
=> ( big_p(sK8(X0))
& big_r(sK7(X0),sK8(X0))
& big_r(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( sP0(X0)
| ( big_p(a)
& ! [X1,X2] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(X0,X1) )
& ? [X3] :
( big_p(X3)
& big_r(X0,X3) ) ) )
& ( ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X6] :
( ~ big_p(X6)
| ~ big_r(X0,X6) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( sP0(X0)
| ( big_p(a)
& ! [X4,X5] :
( ~ big_p(X5)
| ~ big_r(X4,X5)
| ~ big_r(X0,X4) )
& ? [X3] :
( big_p(X3)
& big_r(X0,X3) ) ) )
& ( ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_p(X3)
| ~ big_r(X0,X3) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( sP0(X0)
| ( big_p(a)
& ! [X4,X5] :
( ~ big_p(X5)
| ~ big_r(X4,X5)
| ~ big_r(X0,X4) )
& ? [X3] :
( big_p(X3)
& big_r(X0,X3) ) ) )
& ( ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_p(X3)
| ~ big_r(X0,X3) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( sP0(X0)
<=> ( ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_p(X3)
| ~ big_r(X0,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f471,plain,
( big_r(sK2,sK3)
| spl12_1
| ~ spl12_9 ),
inference(unit_resulting_resolution,[],[f53,f136,f35]) ).
fof(f35,plain,
( ~ big_p(sK2)
| big_r(sK2,sK3)
| sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( sP1
| ( ( ( big_r(sK2,sK3)
& big_p(sK3) )
| ~ big_p(sK2) )
& ! [X2,X3] :
( ~ big_r(X3,X2)
| ~ big_r(sK2,X3)
| ~ big_p(X2) )
& big_p(a) ) )
& ( ! [X4] :
( ( ! [X5] :
( ~ big_r(X4,X5)
| ~ big_p(X5) )
& big_p(X4) )
| ( big_r(sK5(X4),sK4(X4))
& big_r(X4,sK5(X4))
& big_p(sK4(X4)) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f10,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
( ( ? [X1] :
( big_r(X0,X1)
& big_p(X1) )
| ~ big_p(X0) )
& ! [X2,X3] :
( ~ big_r(X3,X2)
| ~ big_r(X0,X3)
| ~ big_p(X2) )
& big_p(a) )
=> ( ( ? [X1] :
( big_r(sK2,X1)
& big_p(X1) )
| ~ big_p(sK2) )
& ! [X3,X2] :
( ~ big_r(X3,X2)
| ~ big_r(sK2,X3)
| ~ big_p(X2) )
& big_p(a) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X1] :
( big_r(sK2,X1)
& big_p(X1) )
=> ( big_r(sK2,sK3)
& big_p(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X4] :
( ? [X6,X7] :
( big_r(X7,X6)
& big_r(X4,X7)
& big_p(X6) )
=> ( big_r(sK5(X4),sK4(X4))
& big_r(X4,sK5(X4))
& big_p(sK4(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ( sP1
| ? [X0] :
( ( ? [X1] :
( big_r(X0,X1)
& big_p(X1) )
| ~ big_p(X0) )
& ! [X2,X3] :
( ~ big_r(X3,X2)
| ~ big_r(X0,X3)
| ~ big_p(X2) )
& big_p(a) ) )
& ( ! [X4] :
( ( ! [X5] :
( ~ big_r(X4,X5)
| ~ big_p(X5) )
& big_p(X4) )
| ? [X6,X7] :
( big_r(X7,X6)
& big_r(X4,X7)
& big_p(X6) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ( sP1
| ? [X6] :
( ( ? [X7] :
( big_r(X6,X7)
& big_p(X7) )
| ~ big_p(X6) )
& ! [X8,X9] :
( ~ big_r(X9,X8)
| ~ big_r(X6,X9)
| ~ big_p(X8) )
& big_p(a) ) )
& ( ! [X6] :
( ( ! [X7] :
( ~ big_r(X6,X7)
| ~ big_p(X7) )
& big_p(X6) )
| ? [X8,X9] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( sP1
<=> ! [X6] :
( ( ! [X7] :
( ~ big_r(X6,X7)
| ~ big_p(X7) )
& big_p(X6) )
| ? [X8,X9] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f136,plain,
( big_p(sK2)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl12_9
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f53,plain,
( ~ sP1
| spl12_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl12_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f66,plain,
( ! [X3] : sP0(X3)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl12_4
<=> ! [X3] : sP0(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f69,plain,
big_p(a),
inference(subsumption_resolution,[],[f68,f42]) ).
fof(f42,plain,
! [X0] :
( sP0(X0)
| big_p(a) ),
inference(cnf_transformation,[],[f20]) ).
fof(f68,plain,
( ~ sP0(sK9)
| big_p(a) ),
inference(subsumption_resolution,[],[f49,f32]) ).
fof(f32,plain,
( sP1
| big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f49,plain,
( ~ sP1
| big_p(a)
| ~ sP0(sK9) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ~ sP1
| ( big_p(a)
& ! [X1,X2] :
( ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
& ~ big_p(sK9) )
| ~ sP0(sK9) )
& ( sP1
| ! [X3] :
( ( ~ big_p(a)
| ( big_r(X3,sK11(X3))
& big_p(sK10(X3))
& big_r(sK11(X3),sK10(X3)) )
| big_p(X3) )
& sP0(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f22,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ( big_p(a)
& ! [X1,X2] :
( ~ big_r(X0,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
& ~ big_p(X0) )
| ~ sP0(X0) )
=> ( ( big_p(a)
& ! [X2,X1] :
( ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
& ~ big_p(sK9) )
| ~ sP0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X3] :
( ? [X4,X5] :
( big_r(X3,X5)
& big_p(X4)
& big_r(X5,X4) )
=> ( big_r(X3,sK11(X3))
& big_p(sK10(X3))
& big_r(sK11(X3),sK10(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ( ~ sP1
| ? [X0] :
( ( big_p(a)
& ! [X1,X2] :
( ~ big_r(X0,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
& ~ big_p(X0) )
| ~ sP0(X0) ) )
& ( sP1
| ! [X3] :
( ( ~ big_p(a)
| ? [X4,X5] :
( big_r(X3,X5)
& big_p(X4)
& big_r(X5,X4) )
| big_p(X3) )
& sP0(X3) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ( ~ sP1
| ? [X0] :
( ( big_p(a)
& ! [X2,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X2)
| ~ big_r(X1,X2) )
& ~ big_p(X0) )
| ~ sP0(X0) ) )
& ( sP1
| ! [X0] :
( ( ~ big_p(a)
| ? [X2,X1] :
( big_r(X0,X1)
& big_p(X2)
& big_r(X1,X2) )
| big_p(X0) )
& sP0(X0) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0] :
( ( ~ big_p(a)
| ? [X2,X1] :
( big_r(X0,X1)
& big_p(X2)
& big_r(X1,X2) )
| big_p(X0) )
& sP0(X0) )
<~> sP1 ),
inference(definition_folding,[],[f5,f7,f6]) ).
fof(f5,plain,
( ! [X0] :
( ( ~ big_p(a)
| ? [X2,X1] :
( big_r(X0,X1)
& big_p(X2)
& big_r(X1,X2) )
| big_p(X0) )
& ( ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_p(X3)
| ~ big_r(X0,X3) ) ) )
<~> ! [X6] :
( ( ! [X7] :
( ~ big_r(X6,X7)
| ~ big_p(X7) )
& big_p(X6) )
| ? [X8,X9] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ~ big_p(a) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X6] :
( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ( ! [X7] :
( ~ big_r(X6,X7)
| ~ big_p(X7) )
& big_p(X6) )
| ~ big_p(a) )
<~> ! [X0] :
( ( ~ big_p(a)
| ? [X2,X1] :
( big_r(X0,X1)
& big_p(X2)
& big_r(X1,X2) )
| big_p(X0) )
& ( ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_p(X3)
| ~ big_r(X0,X3) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X6] :
( ( ( big_p(X6)
=> ? [X7] :
( big_p(X7)
& big_r(X6,X7) ) )
& big_p(a) )
=> ? [X8,X9] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) ) )
<=> ! [X0] :
( ( ~ ? [X3] :
( big_p(X3)
& big_r(X0,X3) )
| ~ big_p(a)
| ? [X4,X5] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) ) )
& ( ~ big_p(a)
| ? [X2,X1] :
( big_r(X0,X1)
& big_p(X2)
& big_r(X1,X2) )
| big_p(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X4] :
( ( big_p(X4)
| ~ big_p(a)
| ? [X6,X5] :
( big_r(X4,X6)
& big_r(X6,X5)
& big_p(X5) ) )
& ( ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a)
| ? [X9,X8] :
( big_r(X4,X9)
& big_p(X8)
& big_r(X9,X8) ) ) )
<=> ! [X0] :
( ( big_p(a)
& ( big_p(X0)
=> ? [X1] :
( big_p(X1)
& big_r(X0,X1) ) ) )
=> ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X4] :
( ( big_p(X4)
| ~ big_p(a)
| ? [X6,X5] :
( big_r(X4,X6)
& big_r(X6,X5)
& big_p(X5) ) )
& ( ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a)
| ? [X9,X8] :
( big_r(X4,X9)
& big_p(X8)
& big_r(X9,X8) ) ) )
<=> ! [X0] :
( ( big_p(a)
& ( big_p(X0)
=> ? [X1] :
( big_p(X1)
& big_r(X0,X1) ) ) )
=> ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38) ).
fof(f470,plain,
( big_p(sK3)
| spl12_1
| ~ spl12_9 ),
inference(unit_resulting_resolution,[],[f53,f136,f34]) ).
fof(f34,plain,
( sP1
| big_p(sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f636,plain,
( ~ big_r(sK7(sK2),sK8(sK2))
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(unit_resulting_resolution,[],[f550,f53,f534,f33]) ).
fof(f33,plain,
! [X2,X3] :
( ~ big_p(X2)
| ~ big_r(X3,X2)
| sP1
| ~ big_r(sK2,X3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f534,plain,
( big_r(sK2,sK7(sK2))
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(unit_resulting_resolution,[],[f470,f69,f66,f471,f36]) ).
fof(f36,plain,
! [X0,X6] :
( big_r(X0,sK7(X0))
| ~ big_r(X0,X6)
| ~ sP0(X0)
| ~ big_p(a)
| ~ big_p(X6) ),
inference(cnf_transformation,[],[f20]) ).
fof(f550,plain,
( big_p(sK8(sK2))
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f549,f470]) ).
fof(f549,plain,
( ~ big_p(sK3)
| big_p(sK8(sK2))
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f548,f69]) ).
fof(f548,plain,
( big_p(sK8(sK2))
| ~ big_p(a)
| ~ big_p(sK3)
| spl12_1
| ~ spl12_4
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f545,f66]) ).
fof(f545,plain,
( ~ sP0(sK2)
| big_p(sK8(sK2))
| ~ big_p(sK3)
| ~ big_p(a)
| spl12_1
| ~ spl12_9 ),
inference(resolution,[],[f471,f38]) ).
fof(f38,plain,
! [X0,X6] :
( ~ sP0(X0)
| ~ big_p(X6)
| ~ big_p(a)
| ~ big_r(X0,X6)
| big_p(sK8(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f469,plain,
( spl12_9
| ~ spl12_2
| ~ spl12_3
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f468,f138,f61,f56,f134]) ).
fof(f56,plain,
( spl12_2
<=> ! [X3] :
( big_p(sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f61,plain,
( spl12_3
<=> ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f138,plain,
( spl12_10
<=> ! [X11] :
( ~ big_r(sK11(sK2),X11)
| ~ big_p(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f468,plain,
( big_p(sK2)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f453,f57]) ).
fof(f57,plain,
( ! [X3] :
( big_p(sK10(X3))
| big_p(X3) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f453,plain,
( ~ big_p(sK10(sK2))
| big_p(sK2)
| ~ spl12_3
| ~ spl12_10 ),
inference(resolution,[],[f139,f62]) ).
fof(f62,plain,
( ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f139,plain,
( ! [X11] :
( ~ big_r(sK11(sK2),X11)
| ~ big_p(X11) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f412,plain,
( spl12_5
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| spl12_5
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f395,f205]) ).
fof(f205,plain,
( big_p(sK6(sK9))
| spl12_5 ),
inference(resolution,[],[f73,f40]) ).
fof(f40,plain,
! [X0] :
( big_p(sK6(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f73,plain,
( ~ sP0(sK9)
| spl12_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl12_5
<=> sP0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f395,plain,
( ~ big_p(sK6(sK9))
| spl12_5
| ~ spl12_12 ),
inference(unit_resulting_resolution,[],[f203,f189]) ).
fof(f189,plain,
( ! [X5] :
( ~ big_r(sK9,X5)
| ~ big_p(X5) )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl12_12
<=> ! [X5] :
( ~ big_r(sK9,X5)
| ~ big_p(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f203,plain,
( big_r(sK9,sK6(sK9))
| spl12_5 ),
inference(unit_resulting_resolution,[],[f73,f39]) ).
fof(f39,plain,
! [X0] :
( sP0(X0)
| big_r(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f386,plain,
( ~ spl12_1
| spl12_5
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| ~ spl12_1
| spl12_5
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f359,f320]) ).
fof(f320,plain,
( big_r(sK5(sK9),sK4(sK9))
| ~ spl12_1
| spl12_5 ),
inference(unit_resulting_resolution,[],[f54,f69,f205,f203,f31]) ).
fof(f31,plain,
! [X4,X5] :
( ~ sP1
| big_r(sK5(X4),sK4(X4))
| ~ big_r(X4,X5)
| ~ big_p(a)
| ~ big_p(X5) ),
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
( sP1
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f359,plain,
( ~ big_r(sK5(sK9),sK4(sK9))
| ~ spl12_1
| spl12_5
| ~ spl12_17 ),
inference(unit_resulting_resolution,[],[f318,f294]) ).
fof(f294,plain,
( ! [X1] :
( ~ big_r(sK5(sK9),X1)
| ~ big_p(X1) )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl12_17
<=> ! [X1] :
( ~ big_p(X1)
| ~ big_r(sK5(sK9),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f318,plain,
( big_p(sK4(sK9))
| ~ spl12_1
| spl12_5 ),
inference(unit_resulting_resolution,[],[f54,f69,f205,f203,f29]) ).
fof(f29,plain,
! [X4,X5] :
( ~ big_p(a)
| ~ sP1
| ~ big_p(X5)
| ~ big_r(X4,X5)
| big_p(sK4(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f295,plain,
( spl12_17
| spl12_12
| ~ spl12_1
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f291,f86,f52,f188,f293]) ).
fof(f86,plain,
( spl12_8
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f291,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_p(X1)
| ~ big_r(sK9,X2)
| ~ big_r(sK5(sK9),X1) )
| ~ spl12_1
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f290,f69]) ).
fof(f290,plain,
( ! [X2,X1] :
( ~ big_r(sK5(sK9),X1)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(sK9,X2)
| ~ big_p(X1) )
| ~ spl12_1
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f175,f54]) ).
fof(f175,plain,
( ! [X2,X1] :
( ~ big_r(sK5(sK9),X1)
| ~ big_r(sK9,X2)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X1)
| ~ sP1 )
| ~ spl12_8 ),
inference(resolution,[],[f87,f30]) ).
fof(f30,plain,
! [X4,X5] :
( big_r(X4,sK5(X4))
| ~ big_p(a)
| ~ big_p(X5)
| ~ sP1
| ~ big_r(X4,X5) ),
inference(cnf_transformation,[],[f14]) ).
fof(f87,plain,
( ! [X2,X1] :
( ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f282,plain,
( ~ spl12_1
| spl12_6
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl12_1
| spl12_6
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f264,f154]) ).
fof(f154,plain,
( big_r(sK5(sK9),sK4(sK9))
| ~ spl12_1
| spl12_6 ),
inference(unit_resulting_resolution,[],[f54,f69,f77,f28]) ).
fof(f28,plain,
! [X4] :
( ~ sP1
| big_r(sK5(X4),sK4(X4))
| big_p(X4)
| ~ big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f77,plain,
( ~ big_p(sK9)
| spl12_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl12_6
<=> big_p(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f264,plain,
( ~ big_r(sK5(sK9),sK4(sK9))
| ~ spl12_1
| spl12_6
| ~ spl12_8 ),
inference(unit_resulting_resolution,[],[f153,f152,f87]) ).
fof(f152,plain,
( big_r(sK9,sK5(sK9))
| ~ spl12_1
| spl12_6 ),
inference(unit_resulting_resolution,[],[f54,f69,f77,f27]) ).
fof(f27,plain,
! [X4] :
( ~ sP1
| ~ big_p(a)
| big_r(X4,sK5(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f14]) ).
fof(f153,plain,
( big_p(sK4(sK9))
| ~ spl12_1
| spl12_6 ),
inference(unit_resulting_resolution,[],[f54,f69,f77,f26]) ).
fof(f26,plain,
! [X4] :
( big_p(sK4(X4))
| ~ big_p(a)
| big_p(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f143,plain,
( spl12_9
| spl12_10
| spl12_1
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f131,f81,f52,f138,f134]) ).
fof(f81,plain,
( spl12_7
<=> ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f131,plain,
( ! [X11] :
( sP1
| ~ big_p(X11)
| big_p(sK2)
| ~ big_r(sK11(sK2),X11) )
| ~ spl12_7 ),
inference(resolution,[],[f82,f33]) ).
fof(f82,plain,
( ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f88,plain,
( spl12_8
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f84,f52,f86]) ).
fof(f84,plain,
! [X2,X1] :
( ~ sP1
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_r(sK9,X2) ),
inference(subsumption_resolution,[],[f48,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ big_r(X0,X1)
| sP0(X0)
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f48,plain,
! [X2,X1] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ sP1
| ~ sP0(sK9)
| ~ big_r(sK9,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f83,plain,
( spl12_7
| spl12_1 ),
inference(avatar_split_clause,[],[f79,f52,f81]) ).
fof(f79,plain,
! [X3] :
( sP1
| big_r(X3,sK11(X3))
| big_p(X3) ),
inference(subsumption_resolution,[],[f46,f69]) ).
fof(f46,plain,
! [X3] :
( sP1
| big_r(X3,sK11(X3))
| big_p(X3)
| ~ big_p(a) ),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
( ~ spl12_5
| ~ spl12_1
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f47,f75,f52,f71]) ).
fof(f47,plain,
( ~ big_p(sK9)
| ~ sP1
| ~ sP0(sK9) ),
inference(cnf_transformation,[],[f25]) ).
fof(f67,plain,
( spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f43,f65,f52]) ).
fof(f43,plain,
! [X3] :
( sP0(X3)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f63,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f59,f61,f52]) ).
fof(f59,plain,
! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3)
| sP1 ),
inference(subsumption_resolution,[],[f44,f32]) ).
fof(f44,plain,
! [X3] :
( sP1
| ~ big_p(a)
| big_p(X3)
| big_r(sK11(X3),sK10(X3)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f50,f56,f52]) ).
fof(f50,plain,
! [X3] :
( big_p(sK10(X3))
| big_p(X3)
| sP1 ),
inference(subsumption_resolution,[],[f45,f32]) ).
fof(f45,plain,
! [X3] :
( ~ big_p(a)
| big_p(sK10(X3))
| big_p(X3)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % 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 21:42:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (5484)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)
% 0.19/0.48 % (5476)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)
% 0.19/0.49 % (5468)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49 % (5486)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.49 % (5476)Instruction limit reached!
% 0.19/0.49 % (5476)------------------------------
% 0.19/0.49 % (5476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5476)Termination reason: Unknown
% 0.19/0.50 % (5476)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (5476)Memory used [KB]: 6140
% 0.19/0.50 % (5476)Time elapsed: 0.052 s
% 0.19/0.50 % (5476)Instructions burned: 7 (million)
% 0.19/0.50 % (5476)------------------------------
% 0.19/0.50 % (5476)------------------------------
% 0.19/0.50 % (5466)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)
% 0.19/0.50 % (5478)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (5478)Instruction limit reached!
% 0.19/0.50 % (5478)------------------------------
% 0.19/0.50 % (5478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5478)Termination reason: Unknown
% 0.19/0.50 % (5478)Termination phase: Finite model building preprocessing
% 0.19/0.50
% 0.19/0.50 % (5478)Memory used [KB]: 5884
% 0.19/0.50 % (5478)Time elapsed: 0.002 s
% 0.19/0.50 % (5478)Instructions burned: 3 (million)
% 0.19/0.50 % (5478)------------------------------
% 0.19/0.50 % (5478)------------------------------
% 0.19/0.50 % (5463)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)
% 0.19/0.50 % (5465)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (5468)First to succeed.
% 0.19/0.51 % (5470)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (5475)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (5470)Refutation not found, incomplete strategy% (5470)------------------------------
% 0.19/0.51 % (5470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5470)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (5470)Memory used [KB]: 6012
% 0.19/0.51 % (5470)Time elapsed: 0.109 s
% 0.19/0.51 % (5470)Instructions burned: 3 (million)
% 0.19/0.51 % (5470)------------------------------
% 0.19/0.51 % (5470)------------------------------
% 0.19/0.51 % (5475)Instruction limit reached!
% 0.19/0.51 % (5475)------------------------------
% 0.19/0.51 % (5475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5475)Termination reason: Unknown
% 0.19/0.51 % (5475)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (5475)Memory used [KB]: 6012
% 0.19/0.51 % (5475)Time elapsed: 0.107 s
% 0.19/0.51 % (5475)Instructions burned: 3 (million)
% 0.19/0.51 % (5475)------------------------------
% 0.19/0.51 % (5475)------------------------------
% 0.19/0.51 % (5479)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (5468)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (5468)------------------------------
% 0.19/0.51 % (5468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5468)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (5468)Memory used [KB]: 6268
% 0.19/0.51 % (5468)Time elapsed: 0.075 s
% 0.19/0.51 % (5468)Instructions burned: 12 (million)
% 0.19/0.51 % (5468)------------------------------
% 0.19/0.51 % (5468)------------------------------
% 0.19/0.51 % (5460)Success in time 0.163 s
%------------------------------------------------------------------------------