TSTP Solution File: SEU023+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU023+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 : n017.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 18:31:45 EDT 2022
% Result : Theorem 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 80 ( 22 unt; 0 def)
% Number of atoms : 400 ( 138 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 518 ( 198 ~; 185 |; 106 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 124 ( 108 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f668,plain,
$false,
inference(subsumption_resolution,[],[f667,f611]) ).
fof(f611,plain,
sF19 != sK11,
inference(trivial_inequality_removal,[],[f610]) ).
fof(f610,plain,
( sF19 != sK11
| sK11 != sK11 ),
inference(superposition,[],[f224,f592]) ).
fof(f592,plain,
sF21 = sK11,
inference(backward_demodulation,[],[f223,f591]) ).
fof(f591,plain,
apply(sF17,sF20) = sK11,
inference(forward_demodulation,[],[f590,f219]) ).
fof(f219,plain,
sF17 = function_inverse(sK10),
introduced(function_definition,[]) ).
fof(f590,plain,
apply(function_inverse(sK10),sF20) = sK11,
inference(subsumption_resolution,[],[f589,f273]) ).
fof(f273,plain,
function(sF17),
inference(subsumption_resolution,[],[f272,f176]) ).
fof(f176,plain,
function(sK10),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( relation(sK10)
& one_to_one(sK10)
& in(sK11,relation_dom(sK10))
& function(sK10)
& ( apply(relation_composition(sK10,function_inverse(sK10)),sK11) != sK11
| apply(function_inverse(sK10),apply(sK10,sK11)) != sK11 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f118,f119]) ).
fof(f119,plain,
( ? [X0,X1] :
( relation(X0)
& one_to_one(X0)
& in(X1,relation_dom(X0))
& function(X0)
& ( apply(relation_composition(X0,function_inverse(X0)),X1) != X1
| apply(function_inverse(X0),apply(X0,X1)) != X1 ) )
=> ( relation(sK10)
& one_to_one(sK10)
& in(sK11,relation_dom(sK10))
& function(sK10)
& ( apply(relation_composition(sK10,function_inverse(sK10)),sK11) != sK11
| apply(function_inverse(sK10),apply(sK10,sK11)) != sK11 ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
? [X0,X1] :
( relation(X0)
& one_to_one(X0)
& in(X1,relation_dom(X0))
& function(X0)
& ( apply(relation_composition(X0,function_inverse(X0)),X1) != X1
| apply(function_inverse(X0),apply(X0,X1)) != X1 ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
? [X1,X0] :
( relation(X1)
& one_to_one(X1)
& in(X0,relation_dom(X1))
& function(X1)
& ( apply(relation_composition(X1,function_inverse(X1)),X0) != X0
| apply(function_inverse(X1),apply(X1,X0)) != X0 ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X1,X0] :
( ( apply(relation_composition(X1,function_inverse(X1)),X0) != X0
| apply(function_inverse(X1),apply(X1,X0)) != X0 )
& one_to_one(X1)
& in(X0,relation_dom(X1))
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_dom(X1)) )
=> ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_dom(X1)) )
=> ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_funct_1) ).
fof(f272,plain,
( function(sF17)
| ~ function(sK10) ),
inference(subsumption_resolution,[],[f271,f179]) ).
fof(f179,plain,
relation(sK10),
inference(cnf_transformation,[],[f120]) ).
fof(f271,plain,
( function(sF17)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(superposition,[],[f192,f219]) ).
fof(f192,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ function(X0)
| ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f589,plain,
( ~ function(sF17)
| apply(function_inverse(sK10),sF20) = sK11 ),
inference(forward_demodulation,[],[f588,f219]) ).
fof(f588,plain,
( ~ function(function_inverse(sK10))
| apply(function_inverse(sK10),sF20) = sK11 ),
inference(subsumption_resolution,[],[f587,f179]) ).
fof(f587,plain,
( ~ relation(sK10)
| apply(function_inverse(sK10),sF20) = sK11
| ~ function(function_inverse(sK10)) ),
inference(subsumption_resolution,[],[f586,f176]) ).
fof(f586,plain,
( ~ function(sK10)
| apply(function_inverse(sK10),sF20) = sK11
| ~ relation(sK10)
| ~ function(function_inverse(sK10)) ),
inference(subsumption_resolution,[],[f584,f178]) ).
fof(f178,plain,
one_to_one(sK10),
inference(cnf_transformation,[],[f120]) ).
fof(f584,plain,
( ~ function(function_inverse(sK10))
| ~ one_to_one(sK10)
| apply(function_inverse(sK10),sF20) = sK11
| ~ function(sK10)
| ~ relation(sK10) ),
inference(resolution,[],[f574,f225]) ).
fof(f225,plain,
! [X2,X3,X0] :
( sP0(X0,X3,X2,function_inverse(X0))
| ~ function(X0)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(function_inverse(X0)) ),
inference(subsumption_resolution,[],[f215,f193]) ).
fof(f193,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f215,plain,
! [X2,X3,X0] :
( ~ function(function_inverse(X0))
| sP0(X0,X3,X2,function_inverse(X0))
| ~ relation(X0)
| ~ relation(function_inverse(X0))
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| sP0(X0,X3,X2,X1)
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X2,X3] :
( ( apply(X1,X2) != X3
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,relation_rng(X0)) )
& sP0(X0,X3,X2,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| ( apply(X1,sK14(X0,X1)) = sK15(X0,X1)
& ( apply(X0,sK15(X0,X1)) != sK14(X0,X1)
| ~ in(sK15(X0,X1),relation_dom(X0)) )
& in(sK14(X0,X1),relation_rng(X0)) )
| ~ sP0(X0,sK15(X0,X1),sK14(X0,X1),X1)
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f131,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( apply(X1,X4) = X5
& ( apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& in(X4,relation_rng(X0)) )
| ~ sP0(X0,X5,X4,X1) )
=> ( ( apply(X1,sK14(X0,X1)) = sK15(X0,X1)
& ( apply(X0,sK15(X0,X1)) != sK14(X0,X1)
| ~ in(sK15(X0,X1),relation_dom(X0)) )
& in(sK14(X0,X1),relation_rng(X0)) )
| ~ sP0(X0,sK15(X0,X1),sK14(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X2,X3] :
( ( apply(X1,X2) != X3
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,relation_rng(X0)) )
& sP0(X0,X3,X2,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| ? [X4,X5] :
( ( apply(X1,X4) = X5
& ( apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& in(X4,relation_rng(X0)) )
| ~ sP0(X0,X5,X4,X1) )
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| ? [X3,X2] :
( ( apply(X1,X3) = X2
& ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& in(X3,relation_rng(X0)) )
| ~ sP0(X0,X2,X3,X1) )
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| ? [X3,X2] :
( ( apply(X1,X3) = X2
& ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& in(X3,relation_rng(X0)) )
| ~ sP0(X0,X2,X3,X1) )
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) ) ),
inference(definition_folding,[],[f92,f93]) ).
fof(f93,plain,
! [X0,X2,X3,X1] :
( sP0(X0,X2,X3,X1)
<=> ( ~ in(X2,relation_dom(X0))
| ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
| apply(X0,X2) != X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f92,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& ( ~ in(X2,relation_dom(X0))
| ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
| apply(X0,X2) != X3 ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& ( ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
| ~ in(X2,relation_dom(X0))
| apply(X0,X2) != X3 ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X2,X3] :
( ( ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
=> ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) ) )
& ( ( in(X2,relation_dom(X0))
& apply(X0,X2) = X3 )
=> ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 ) ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 ) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X3,X2] :
( ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 ) )
& ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f574,plain,
! [X1] :
( ~ sP0(sK10,sK11,sF20,X1)
| apply(X1,sF20) = sK11 ),
inference(forward_demodulation,[],[f573,f222]) ).
fof(f222,plain,
apply(sK10,sK11) = sF20,
introduced(function_definition,[]) ).
fof(f573,plain,
! [X1] :
( apply(X1,sF20) = sK11
| ~ sP0(sK10,sK11,apply(sK10,sK11),X1) ),
inference(forward_demodulation,[],[f568,f222]) ).
fof(f568,plain,
! [X1] :
( apply(X1,apply(sK10,sK11)) = sK11
| ~ sP0(sK10,sK11,apply(sK10,sK11),X1) ),
inference(resolution,[],[f366,f218]) ).
fof(f218,plain,
in(sK11,sF16),
inference(definition_folding,[],[f177,f217]) ).
fof(f217,plain,
sF16 = relation_dom(sK10),
introduced(function_definition,[]) ).
fof(f177,plain,
in(sK11,relation_dom(sK10)),
inference(cnf_transformation,[],[f120]) ).
fof(f366,plain,
! [X0,X1] :
( ~ in(X0,sF16)
| apply(X1,apply(sK10,X0)) = X0
| ~ sP0(sK10,X0,apply(sK10,X0),X1) ),
inference(superposition,[],[f210,f217]) ).
fof(f210,plain,
! [X3,X0,X1] :
( ~ in(X1,relation_dom(X0))
| ~ sP0(X0,X1,apply(X0,X1),X3)
| apply(X3,apply(X0,X1)) = X1 ),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,relation_dom(X0))
| apply(X3,X2) = X1
| apply(X0,X1) != X2
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ( in(X1,relation_dom(X0))
& ( ~ in(X2,relation_rng(X0))
| apply(X3,X2) != X1 )
& apply(X0,X1) = X2 ) )
& ( ~ in(X1,relation_dom(X0))
| ( in(X2,relation_rng(X0))
& apply(X3,X2) = X1 )
| apply(X0,X1) != X2
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0,X2,X3,X1] :
( ( sP0(X0,X2,X3,X1)
| ( in(X2,relation_dom(X0))
& ( ~ in(X3,relation_rng(X0))
| apply(X1,X3) != X2 )
& apply(X0,X2) = X3 ) )
& ( ~ in(X2,relation_dom(X0))
| ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
| apply(X0,X2) != X3
| ~ sP0(X0,X2,X3,X1) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X2,X3,X1] :
( ( sP0(X0,X2,X3,X1)
| ( in(X2,relation_dom(X0))
& ( ~ in(X3,relation_rng(X0))
| apply(X1,X3) != X2 )
& apply(X0,X2) = X3 ) )
& ( ~ in(X2,relation_dom(X0))
| ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
| apply(X0,X2) != X3
| ~ sP0(X0,X2,X3,X1) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f223,plain,
sF21 = apply(sF17,sF20),
introduced(function_definition,[]) ).
fof(f224,plain,
( sF21 != sK11
| sF19 != sK11 ),
inference(definition_folding,[],[f175,f223,f222,f219,f221,f220,f219]) ).
fof(f220,plain,
sF18 = relation_composition(sK10,sF17),
introduced(function_definition,[]) ).
fof(f221,plain,
apply(sF18,sK11) = sF19,
introduced(function_definition,[]) ).
fof(f175,plain,
( apply(relation_composition(sK10,function_inverse(sK10)),sK11) != sK11
| apply(function_inverse(sK10),apply(sK10,sK11)) != sK11 ),
inference(cnf_transformation,[],[f120]) ).
fof(f667,plain,
sF19 = sK11,
inference(backward_demodulation,[],[f221,f666]) ).
fof(f666,plain,
apply(sF18,sK11) = sK11,
inference(forward_demodulation,[],[f665,f220]) ).
fof(f665,plain,
apply(relation_composition(sK10,sF17),sK11) = sK11,
inference(forward_demodulation,[],[f664,f591]) ).
fof(f664,plain,
apply(relation_composition(sK10,sF17),sK11) = apply(sF17,sF20),
inference(subsumption_resolution,[],[f654,f276]) ).
fof(f276,plain,
relation(sF17),
inference(subsumption_resolution,[],[f275,f176]) ).
fof(f275,plain,
( ~ function(sK10)
| relation(sF17) ),
inference(subsumption_resolution,[],[f274,f179]) ).
fof(f274,plain,
( ~ relation(sK10)
| ~ function(sK10)
| relation(sF17) ),
inference(superposition,[],[f193,f219]) ).
fof(f654,plain,
( ~ relation(sF17)
| apply(relation_composition(sK10,sF17),sK11) = apply(sF17,sF20) ),
inference(resolution,[],[f409,f273]) ).
fof(f409,plain,
! [X0] :
( ~ function(X0)
| apply(relation_composition(sK10,X0),sK11) = apply(X0,sF20)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f408,f222]) ).
fof(f408,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| apply(relation_composition(sK10,X0),sK11) = apply(X0,apply(sK10,sK11)) ),
inference(resolution,[],[f379,f218]) ).
fof(f379,plain,
! [X0,X1] :
( ~ in(X0,sF16)
| ~ relation(X1)
| apply(relation_composition(sK10,X1),X0) = apply(X1,apply(sK10,X0))
| ~ function(X1) ),
inference(subsumption_resolution,[],[f378,f179]) ).
fof(f378,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(sK10)
| apply(relation_composition(sK10,X1),X0) = apply(X1,apply(sK10,X0))
| ~ relation(X1)
| ~ in(X0,sF16) ),
inference(subsumption_resolution,[],[f376,f176]) ).
fof(f376,plain,
! [X0,X1] :
( apply(relation_composition(sK10,X1),X0) = apply(X1,apply(sK10,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ function(sK10)
| ~ in(X0,sF16)
| ~ relation(sK10) ),
inference(superposition,[],[f146,f217]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ function(X2)
| apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X0))
| apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1)) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ! [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,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( 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,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( function(X1)
& relation(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/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU023+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 13:59:20 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.43 % (32163)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)
% 0.16/0.44 % (32171)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)
% 0.16/0.48 % (32157)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48 % (32157)Instruction limit reached!
% 0.16/0.48 % (32157)------------------------------
% 0.16/0.48 % (32157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (32157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (32157)Termination reason: Unknown
% 0.16/0.48 % (32157)Termination phase: Preprocessing 3
% 0.16/0.48
% 0.16/0.48 % (32157)Memory used [KB]: 895
% 0.16/0.48 % (32157)Time elapsed: 0.003 s
% 0.16/0.48 % (32157)Instructions burned: 2 (million)
% 0.16/0.48 % (32157)------------------------------
% 0.16/0.48 % (32157)------------------------------
% 0.16/0.48 % (32156)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (32164)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)
% 0.16/0.49 % (32173)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.49 % (32165)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)
% 0.16/0.49 % (32172)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)
% 0.16/0.50 % (32156)Instruction limit reached!
% 0.16/0.50 % (32156)------------------------------
% 0.16/0.50 % (32156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (32156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (32156)Termination reason: Unknown
% 0.16/0.50 % (32156)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (32156)Memory used [KB]: 5500
% 0.16/0.50 % (32156)Time elapsed: 0.104 s
% 0.16/0.50 % (32156)Instructions burned: 7 (million)
% 0.16/0.50 % (32156)------------------------------
% 0.16/0.50 % (32156)------------------------------
% 0.16/0.53 % (32159)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53 % (32161)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53 % (32152)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)
% 0.16/0.53 % (32160)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)
% 0.16/0.53 % (32163)Instruction limit reached!
% 0.16/0.53 % (32163)------------------------------
% 0.16/0.53 % (32163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (32163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (32163)Termination reason: Unknown
% 0.16/0.53 % (32163)Termination phase: Saturation
% 0.16/0.53
% 0.16/0.53 % (32163)Memory used [KB]: 6652
% 0.16/0.53 % (32163)Time elapsed: 0.053 s
% 0.16/0.53 % (32163)Instructions burned: 68 (million)
% 0.16/0.53 % (32163)------------------------------
% 0.16/0.53 % (32163)------------------------------
% 0.16/0.54 % (32154)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)
% 0.16/0.54 % (32153)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.55 % (32177)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.55 % (32176)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)
% 0.16/0.55 % (32175)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)
% 0.16/0.55 % (32169)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)
% 0.16/0.55 % (32168)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)
% 0.16/0.55 % (32164)First to succeed.
% 0.16/0.55 % (32167)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.56 % (32164)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Theorem for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (32164)------------------------------
% 0.16/0.56 % (32164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (32164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (32164)Termination reason: Refutation
% 0.16/0.56
% 0.16/0.56 % (32164)Memory used [KB]: 1407
% 0.16/0.56 % (32164)Time elapsed: 0.178 s
% 0.16/0.56 % (32164)Instructions burned: 26 (million)
% 0.16/0.56 % (32164)------------------------------
% 0.16/0.56 % (32164)------------------------------
% 0.16/0.56 % (32148)Success in time 0.226 s
%------------------------------------------------------------------------------