TSTP Solution File: SEU014+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU014+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.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 18:31:44 EDT 2022
% Result : Theorem 2.42s 0.68s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of formulae : 104 ( 27 unt; 0 def)
% Number of atoms : 400 ( 81 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 486 ( 190 ~; 182 |; 84 &)
% ( 4 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 111 ( 97 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1124,plain,
$false,
inference(subsumption_resolution,[],[f1123,f169]) ).
fof(f169,plain,
relation(sK11),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( relation(sK10)
& ~ one_to_one(sK11)
& one_to_one(relation_composition(sK11,sK10))
& subset(relation_rng(sK11),relation_dom(sK10))
& relation(sK11)
& function(sK11)
& function(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f83,f113,f112]) ).
fof(f112,plain,
( ? [X0] :
( relation(X0)
& ? [X1] :
( ~ one_to_one(X1)
& one_to_one(relation_composition(X1,X0))
& subset(relation_rng(X1),relation_dom(X0))
& relation(X1)
& function(X1) )
& function(X0) )
=> ( relation(sK10)
& ? [X1] :
( ~ one_to_one(X1)
& one_to_one(relation_composition(X1,sK10))
& subset(relation_rng(X1),relation_dom(sK10))
& relation(X1)
& function(X1) )
& function(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X1] :
( ~ one_to_one(X1)
& one_to_one(relation_composition(X1,sK10))
& subset(relation_rng(X1),relation_dom(sK10))
& relation(X1)
& function(X1) )
=> ( ~ one_to_one(sK11)
& one_to_one(relation_composition(sK11,sK10))
& subset(relation_rng(sK11),relation_dom(sK10))
& relation(sK11)
& function(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( ~ one_to_one(X1)
& one_to_one(relation_composition(X1,X0))
& subset(relation_rng(X1),relation_dom(X0))
& relation(X1)
& function(X1) )
& function(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0))
& relation(X1)
& function(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f1123,plain,
~ relation(sK11),
inference(subsumption_resolution,[],[f1122,f168]) ).
fof(f168,plain,
function(sK11),
inference(cnf_transformation,[],[f114]) ).
fof(f1122,plain,
( ~ function(sK11)
| ~ relation(sK11) ),
inference(subsumption_resolution,[],[f1121,f172]) ).
fof(f172,plain,
~ one_to_one(sK11),
inference(cnf_transformation,[],[f114]) ).
fof(f1121,plain,
( one_to_one(sK11)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(trivial_inequality_removal,[],[f1120]) ).
fof(f1120,plain,
( ~ relation(sK11)
| one_to_one(sK11)
| ~ function(sK11)
| sK0(sK11) != sK0(sK11) ),
inference(superposition,[],[f129,f1090]) ).
fof(f1090,plain,
sK0(sK11) = sK1(sK11),
inference(subsumption_resolution,[],[f1089,f255]) ).
fof(f255,plain,
in(sK0(sK11),relation_dom(sK11)),
inference(subsumption_resolution,[],[f254,f169]) ).
fof(f254,plain,
( ~ relation(sK11)
| in(sK0(sK11),relation_dom(sK11)) ),
inference(subsumption_resolution,[],[f253,f172]) ).
fof(f253,plain,
( in(sK0(sK11),relation_dom(sK11))
| one_to_one(sK11)
| ~ relation(sK11) ),
inference(resolution,[],[f126,f168]) ).
fof(f126,plain,
! [X0] :
( ~ function(X0)
| in(sK0(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( one_to_one(X0)
| ( sK1(X0) != sK0(X0)
& in(sK1(X0),relation_dom(X0))
& apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK0(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X4,relation_dom(X0))
| apply(X0,X4) != apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f87,f88]) ).
fof(f88,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) )
=> ( sK1(X0) != sK0(X0)
& in(sK1(X0),relation_dom(X0))
& apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK0(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X4,relation_dom(X0))
| apply(X0,X4) != apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0)) ) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X2,X1] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0)) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f1089,plain,
( ~ in(sK0(sK11),relation_dom(sK11))
| sK0(sK11) = sK1(sK11) ),
inference(equality_resolution,[],[f546]) ).
fof(f546,plain,
! [X1] :
( apply(sF13,sK0(sK11)) != apply(sF13,X1)
| ~ in(X1,relation_dom(sK11))
| sK1(sK11) = X1 ),
inference(forward_demodulation,[],[f545,f332]) ).
fof(f332,plain,
relation_dom(sK11) = relation_dom(sF13),
inference(forward_demodulation,[],[f331,f179]) ).
fof(f179,plain,
sF13 = relation_composition(sK11,sK10),
introduced(function_definition,[]) ).
fof(f331,plain,
relation_dom(relation_composition(sK11,sK10)) = relation_dom(sK11),
inference(subsumption_resolution,[],[f330,f183]) ).
fof(f183,plain,
subset(sF14,sF15),
inference(definition_folding,[],[f170,f182,f181]) ).
fof(f181,plain,
sF14 = relation_rng(sK11),
introduced(function_definition,[]) ).
fof(f182,plain,
sF15 = relation_dom(sK10),
introduced(function_definition,[]) ).
fof(f170,plain,
subset(relation_rng(sK11),relation_dom(sK10)),
inference(cnf_transformation,[],[f114]) ).
fof(f330,plain,
( relation_dom(relation_composition(sK11,sK10)) = relation_dom(sK11)
| ~ subset(sF14,sF15) ),
inference(subsumption_resolution,[],[f327,f173]) ).
fof(f173,plain,
relation(sK10),
inference(cnf_transformation,[],[f114]) ).
fof(f327,plain,
( ~ relation(sK10)
| relation_dom(relation_composition(sK11,sK10)) = relation_dom(sK11)
| ~ subset(sF14,sF15) ),
inference(superposition,[],[f301,f182]) ).
fof(f301,plain,
! [X0] :
( ~ subset(sF14,relation_dom(X0))
| relation_dom(sK11) = relation_dom(relation_composition(sK11,X0))
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f293,f169]) ).
fof(f293,plain,
! [X0] :
( ~ relation(X0)
| ~ relation(sK11)
| ~ subset(sF14,relation_dom(X0))
| relation_dom(sK11) = relation_dom(relation_composition(sK11,X0)) ),
inference(superposition,[],[f132,f181]) ).
fof(f132,plain,
! [X0,X1] :
( ~ subset(relation_rng(X0),relation_dom(X1))
| relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ~ subset(relation_rng(X0),relation_dom(X1))
| relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f545,plain,
! [X1] :
( sK1(sK11) = X1
| ~ in(X1,relation_dom(sF13))
| apply(sF13,sK0(sK11)) != apply(sF13,X1) ),
inference(subsumption_resolution,[],[f544,f270]) ).
fof(f270,plain,
in(sK1(sK11),relation_dom(sK11)),
inference(subsumption_resolution,[],[f269,f169]) ).
fof(f269,plain,
( ~ relation(sK11)
| in(sK1(sK11),relation_dom(sK11)) ),
inference(subsumption_resolution,[],[f267,f172]) ).
fof(f267,plain,
( in(sK1(sK11),relation_dom(sK11))
| one_to_one(sK11)
| ~ relation(sK11) ),
inference(resolution,[],[f128,f168]) ).
fof(f128,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| one_to_one(X0)
| in(sK1(X0),relation_dom(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f544,plain,
! [X1] :
( apply(sF13,sK0(sK11)) != apply(sF13,X1)
| ~ in(X1,relation_dom(sF13))
| ~ in(sK1(sK11),relation_dom(sK11))
| sK1(sK11) = X1 ),
inference(forward_demodulation,[],[f543,f332]) ).
fof(f543,plain,
! [X1] :
( ~ in(sK1(sK11),relation_dom(sF13))
| sK1(sK11) = X1
| apply(sF13,sK0(sK11)) != apply(sF13,X1)
| ~ in(X1,relation_dom(sF13)) ),
inference(subsumption_resolution,[],[f542,f180]) ).
fof(f180,plain,
one_to_one(sF13),
inference(definition_folding,[],[f171,f179]) ).
fof(f171,plain,
one_to_one(relation_composition(sK11,sK10)),
inference(cnf_transformation,[],[f114]) ).
fof(f542,plain,
! [X1] :
( sK1(sK11) = X1
| ~ in(X1,relation_dom(sF13))
| ~ in(sK1(sK11),relation_dom(sF13))
| apply(sF13,sK0(sK11)) != apply(sF13,X1)
| ~ one_to_one(sF13) ),
inference(subsumption_resolution,[],[f541,f247]) ).
fof(f247,plain,
relation(sF13),
inference(subsumption_resolution,[],[f246,f173]) ).
fof(f246,plain,
( relation(sF13)
| ~ relation(sK10) ),
inference(subsumption_resolution,[],[f245,f169]) ).
fof(f245,plain,
( relation(sF13)
| ~ relation(sK11)
| ~ relation(sK10) ),
inference(superposition,[],[f141,f179]) ).
fof(f141,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f541,plain,
! [X1] :
( apply(sF13,sK0(sK11)) != apply(sF13,X1)
| ~ in(sK1(sK11),relation_dom(sF13))
| ~ relation(sF13)
| sK1(sK11) = X1
| ~ one_to_one(sF13)
| ~ in(X1,relation_dom(sF13)) ),
inference(subsumption_resolution,[],[f540,f281]) ).
fof(f281,plain,
function(sF13),
inference(subsumption_resolution,[],[f280,f167]) ).
fof(f167,plain,
function(sK10),
inference(cnf_transformation,[],[f114]) ).
fof(f280,plain,
( function(sF13)
| ~ function(sK10) ),
inference(subsumption_resolution,[],[f279,f169]) ).
fof(f279,plain,
( function(sF13)
| ~ relation(sK11)
| ~ function(sK10) ),
inference(subsumption_resolution,[],[f278,f168]) ).
fof(f278,plain,
( ~ function(sK11)
| function(sF13)
| ~ function(sK10)
| ~ relation(sK11) ),
inference(subsumption_resolution,[],[f277,f173]) ).
fof(f277,plain,
( ~ relation(sK10)
| ~ function(sK11)
| ~ function(sK10)
| ~ relation(sK11)
| function(sF13) ),
inference(superposition,[],[f158,f179]) ).
fof(f158,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) )
| ~ function(X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) )
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( relation(X0)
& relation(X1)
& function(X0)
& function(X1) )
=> ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( relation(X0)
& relation(X1)
& function(X0)
& function(X1) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f540,plain,
! [X1] :
( ~ in(sK1(sK11),relation_dom(sF13))
| ~ in(X1,relation_dom(sF13))
| apply(sF13,sK0(sK11)) != apply(sF13,X1)
| ~ function(sF13)
| ~ one_to_one(sF13)
| sK1(sK11) = X1
| ~ relation(sF13) ),
inference(superposition,[],[f125,f523]) ).
fof(f523,plain,
apply(sF13,sK0(sK11)) = apply(sF13,sK1(sK11)),
inference(forward_demodulation,[],[f522,f179]) ).
fof(f522,plain,
apply(relation_composition(sK11,sK10),sK0(sK11)) = apply(sF13,sK1(sK11)),
inference(forward_demodulation,[],[f521,f510]) ).
fof(f510,plain,
apply(sK10,apply(sK11,sK0(sK11))) = apply(sF13,sK1(sK11)),
inference(forward_demodulation,[],[f509,f179]) ).
fof(f509,plain,
apply(relation_composition(sK11,sK10),sK1(sK11)) = apply(sK10,apply(sK11,sK0(sK11))),
inference(subsumption_resolution,[],[f505,f173]) ).
fof(f505,plain,
( apply(relation_composition(sK11,sK10),sK1(sK11)) = apply(sK10,apply(sK11,sK0(sK11)))
| ~ relation(sK10) ),
inference(resolution,[],[f311,f167]) ).
fof(f311,plain,
! [X1] :
( ~ function(X1)
| ~ relation(X1)
| apply(X1,apply(sK11,sK0(sK11))) = apply(relation_composition(sK11,X1),sK1(sK11)) ),
inference(forward_demodulation,[],[f310,f288]) ).
fof(f288,plain,
apply(sK11,sK0(sK11)) = apply(sK11,sK1(sK11)),
inference(subsumption_resolution,[],[f287,f169]) ).
fof(f287,plain,
( apply(sK11,sK0(sK11)) = apply(sK11,sK1(sK11))
| ~ relation(sK11) ),
inference(subsumption_resolution,[],[f286,f168]) ).
fof(f286,plain,
( ~ function(sK11)
| ~ relation(sK11)
| apply(sK11,sK0(sK11)) = apply(sK11,sK1(sK11)) ),
inference(resolution,[],[f127,f172]) ).
fof(f127,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f310,plain,
! [X1] :
( ~ relation(X1)
| apply(relation_composition(sK11,X1),sK1(sK11)) = apply(X1,apply(sK11,sK1(sK11)))
| ~ function(X1) ),
inference(subsumption_resolution,[],[f309,f168]) ).
fof(f309,plain,
! [X1] :
( ~ function(X1)
| apply(relation_composition(sK11,X1),sK1(sK11)) = apply(X1,apply(sK11,sK1(sK11)))
| ~ function(sK11)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f304,f169]) ).
fof(f304,plain,
! [X1] :
( ~ relation(sK11)
| ~ function(sK11)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(sK11,X1),sK1(sK11)) = apply(X1,apply(sK11,sK1(sK11))) ),
inference(resolution,[],[f176,f270]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ function(X2)
| ~ relation(X2) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X2] :
( ~ in(X1,relation_dom(X0))
| apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1))
| ~ function(X2)
| ~ relation(X2) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1))
| ~ in(X1,relation_dom(X0))
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X0))
=> apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1)) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f521,plain,
apply(relation_composition(sK11,sK10),sK0(sK11)) = apply(sK10,apply(sK11,sK0(sK11))),
inference(subsumption_resolution,[],[f518,f173]) ).
fof(f518,plain,
( ~ relation(sK10)
| apply(relation_composition(sK11,sK10),sK0(sK11)) = apply(sK10,apply(sK11,sK0(sK11))) ),
inference(resolution,[],[f313,f167]) ).
fof(f313,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| apply(relation_composition(sK11,X0),sK0(sK11)) = apply(X0,apply(sK11,sK0(sK11))) ),
inference(subsumption_resolution,[],[f312,f168]) ).
fof(f312,plain,
! [X0] :
( apply(relation_composition(sK11,X0),sK0(sK11)) = apply(X0,apply(sK11,sK0(sK11)))
| ~ relation(X0)
| ~ function(sK11)
| ~ function(X0) ),
inference(subsumption_resolution,[],[f303,f169]) ).
fof(f303,plain,
! [X0] :
( apply(relation_composition(sK11,X0),sK0(sK11)) = apply(X0,apply(sK11,sK0(sK11)))
| ~ relation(X0)
| ~ relation(sK11)
| ~ function(X0)
| ~ function(sK11) ),
inference(resolution,[],[f176,f255]) ).
fof(f125,plain,
! [X3,X0,X4] :
( apply(X0,X4) != apply(X0,X3)
| ~ relation(X0)
| ~ function(X0)
| X3 = X4
| ~ one_to_one(X0)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f129,plain,
! [X0] :
( sK1(X0) != sK0(X0)
| ~ relation(X0)
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU014+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n010.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 14:27:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (22493)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50 % (22509)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.50 % (22493)Instruction limit reached!
% 0.21/0.50 % (22493)------------------------------
% 0.21/0.50 % (22493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (22493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (22493)Termination reason: Unknown
% 0.21/0.50 % (22493)Termination phase: Property scanning
% 0.21/0.50
% 0.21/0.50 % (22493)Memory used [KB]: 895
% 0.21/0.50 % (22493)Time elapsed: 0.004 s
% 0.21/0.50 % (22493)Instructions burned: 2 (million)
% 0.21/0.50 % (22493)------------------------------
% 0.21/0.50 % (22493)------------------------------
% 0.21/0.52 % (22488)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (22514)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53 % (22499)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (22487)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (22490)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (22489)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (22495)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (22494)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (22507)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (22508)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 % (22486)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (22505)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.54 % (22503)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (22501)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (22496)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (22504)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (22491)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (22486)Refutation not found, incomplete strategy% (22486)------------------------------
% 0.21/0.54 % (22486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (22486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (22486)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (22486)Memory used [KB]: 5500
% 0.21/0.54 % (22486)Time elapsed: 0.146 s
% 0.21/0.54 % (22486)Instructions burned: 5 (million)
% 0.21/0.54 % (22486)------------------------------
% 0.21/0.54 % (22486)------------------------------
% 0.21/0.54 % (22497)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (22498)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (22492)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (22500)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55 % (22502)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (22511)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.55 % (22485)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.55 % (22492)Instruction limit reached!
% 0.21/0.55 % (22492)------------------------------
% 0.21/0.55 % (22492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22492)Termination reason: Unknown
% 0.21/0.55 % (22492)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (22492)Memory used [KB]: 5500
% 0.21/0.55 % (22492)Time elapsed: 0.129 s
% 0.21/0.55 % (22492)Instructions burned: 8 (million)
% 0.21/0.55 % (22492)------------------------------
% 0.21/0.55 % (22492)------------------------------
% 0.21/0.55 % (22512)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (22506)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [4]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 % (22510)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56 % (22513)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.70/0.57 TRYING [4]
% 1.70/0.58 TRYING [4]
% 1.70/0.58 % (22491)Instruction limit reached!
% 1.70/0.58 % (22491)------------------------------
% 1.70/0.58 % (22491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (22495)Instruction limit reached!
% 1.89/0.60 % (22495)------------------------------
% 1.89/0.60 % (22495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (22491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (22491)Termination reason: Unknown
% 1.89/0.60 % (22491)Termination phase: Finite model building SAT solving
% 1.89/0.60
% 1.89/0.60 % (22491)Memory used [KB]: 6780
% 1.89/0.60 % (22491)Time elapsed: 0.127 s
% 1.89/0.60 % (22491)Instructions burned: 52 (million)
% 1.89/0.60 % (22491)------------------------------
% 1.89/0.60 % (22491)------------------------------
% 1.89/0.60 % (22488)Instruction limit reached!
% 1.89/0.60 % (22488)------------------------------
% 1.89/0.60 % (22488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (22494)Instruction limit reached!
% 1.89/0.61 % (22494)------------------------------
% 1.89/0.61 % (22494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (22487)Instruction limit reached!
% 1.89/0.61 % (22487)------------------------------
% 1.89/0.61 % (22487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (22487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (22487)Termination reason: Unknown
% 1.89/0.61 % (22487)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (22487)Memory used [KB]: 1407
% 1.89/0.61 % (22487)Time elapsed: 0.193 s
% 1.89/0.61 % (22487)Instructions burned: 37 (million)
% 1.89/0.61 % (22487)------------------------------
% 1.89/0.61 % (22487)------------------------------
% 1.89/0.61 TRYING [5]
% 1.89/0.62 % (22495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (22495)Termination reason: Unknown
% 1.89/0.62 % (22495)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (22502)Instruction limit reached!
% 1.89/0.62 % (22502)------------------------------
% 1.89/0.62 % (22502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (22502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (22502)Termination reason: Unknown
% 1.89/0.62 % (22502)Termination phase: Finite model building SAT solving
% 1.89/0.62
% 1.89/0.62 % (22502)Memory used [KB]: 6780
% 1.89/0.62 % (22502)Time elapsed: 0.187 s
% 1.89/0.62 % (22502)Instructions burned: 62 (million)
% 1.89/0.62 % (22502)------------------------------
% 1.89/0.62 % (22502)------------------------------
% 1.89/0.62 % (22495)Memory used [KB]: 6268
% 1.89/0.62 % (22495)Time elapsed: 0.189 s
% 1.89/0.62 % (22495)Instructions burned: 50 (million)
% 1.89/0.62 % (22495)------------------------------
% 1.89/0.62 % (22495)------------------------------
% 1.89/0.62 % (22494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (22494)Termination reason: Unknown
% 1.89/0.62 % (22494)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (22494)Memory used [KB]: 1663
% 1.89/0.62 % (22494)Time elapsed: 0.208 s
% 1.89/0.62 % (22494)Instructions burned: 53 (million)
% 1.89/0.62 % (22494)------------------------------
% 1.89/0.62 % (22494)------------------------------
% 1.89/0.62 % (22488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (22488)Termination reason: Unknown
% 1.89/0.62 % (22488)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (22488)Memory used [KB]: 6012
% 1.89/0.62 % (22488)Time elapsed: 0.211 s
% 1.89/0.62 % (22488)Instructions burned: 52 (million)
% 1.89/0.62 % (22488)------------------------------
% 1.89/0.62 % (22488)------------------------------
% 1.89/0.63 % (22489)Instruction limit reached!
% 1.89/0.63 % (22489)------------------------------
% 1.89/0.63 % (22489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63 % (22489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63 % (22489)Termination reason: Unknown
% 1.89/0.63 % (22489)Termination phase: Saturation
% 1.89/0.63
% 1.89/0.63 % (22489)Memory used [KB]: 6780
% 1.89/0.63 % (22489)Time elapsed: 0.236 s
% 1.89/0.63 % (22489)Instructions burned: 52 (million)
% 1.89/0.63 % (22489)------------------------------
% 1.89/0.63 % (22489)------------------------------
% 1.89/0.63 % (22490)Instruction limit reached!
% 1.89/0.63 % (22490)------------------------------
% 1.89/0.63 % (22490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63 % (22490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63 % (22490)Termination reason: Unknown
% 1.89/0.63 % (22490)Termination phase: Saturation
% 1.89/0.63
% 1.89/0.63 % (22490)Memory used [KB]: 5884
% 1.89/0.63 % (22490)Time elapsed: 0.237 s
% 1.89/0.63 % (22490)Instructions burned: 49 (million)
% 1.89/0.63 % (22490)------------------------------
% 1.89/0.63 % (22490)------------------------------
% 1.89/0.65 % (22499)Instruction limit reached!
% 1.89/0.65 % (22499)------------------------------
% 1.89/0.65 % (22499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65 % (22499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.65 % (22499)Termination reason: Unknown
% 1.89/0.65 % (22499)Termination phase: Saturation
% 1.89/0.65
% 1.89/0.65 % (22499)Memory used [KB]: 6524
% 1.89/0.65 % (22500)First to succeed.
% 1.89/0.66 % (22511)Instruction limit reached!
% 1.89/0.66 % (22511)------------------------------
% 1.89/0.66 % (22511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.66 % (22499)Time elapsed: 0.038 s
% 1.89/0.66 % (22499)Instructions burned: 68 (million)
% 1.89/0.66 % (22499)------------------------------
% 1.89/0.66 % (22499)------------------------------
% 2.40/0.67 % (22516)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.40/0.67 % (22515)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.42/0.68 % (22500)Refutation found. Thanks to Tanya!
% 2.42/0.68 % SZS status Theorem for theBenchmark
% 2.42/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.68 % (22500)------------------------------
% 2.42/0.68 % (22500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.68 % (22500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.68 % (22500)Termination reason: Refutation
% 2.42/0.68
% 2.42/0.68 % (22500)Memory used [KB]: 1663
% 2.42/0.68 % (22500)Time elapsed: 0.246 s
% 2.42/0.68 % (22500)Instructions burned: 61 (million)
% 2.42/0.68 % (22500)------------------------------
% 2.42/0.68 % (22500)------------------------------
% 2.42/0.68 % (22484)Success in time 0.338 s
%------------------------------------------------------------------------------