TSTP Solution File: SEU221+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU221+3 : 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 : n024.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 18:32:37 EDT 2022
% Result : Theorem 1.53s 0.70s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 9
% Syntax : Number of formulae : 85 ( 20 unt; 0 def)
% Number of atoms : 423 ( 118 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 568 ( 230 ~; 225 |; 90 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 101 ( 84 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f564,plain,
$false,
inference(subsumption_resolution,[],[f563,f282]) ).
fof(f282,plain,
relation(sF17),
inference(subsumption_resolution,[],[f281,f164]) ).
fof(f164,plain,
relation(sK5),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( function(sK5)
& relation(sK5)
& one_to_one(sK5)
& ~ one_to_one(function_inverse(sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f67,f107]) ).
fof(f107,plain,
( ? [X0] :
( function(X0)
& relation(X0)
& one_to_one(X0)
& ~ one_to_one(function_inverse(X0)) )
=> ( function(sK5)
& relation(sK5)
& one_to_one(sK5)
& ~ one_to_one(function_inverse(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0] :
( function(X0)
& relation(X0)
& one_to_one(X0)
& ~ one_to_one(function_inverse(X0)) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f281,plain,
( ~ relation(sK5)
| relation(sF17) ),
inference(subsumption_resolution,[],[f280,f165]) ).
fof(f165,plain,
function(sK5),
inference(cnf_transformation,[],[f108]) ).
fof(f280,plain,
( relation(sF17)
| ~ function(sK5)
| ~ relation(sK5) ),
inference(superposition,[],[f142,f227]) ).
fof(f227,plain,
sF17 = function_inverse(sK5),
introduced(function_definition,[]) ).
fof(f142,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f563,plain,
~ relation(sF17),
inference(subsumption_resolution,[],[f562,f285]) ).
fof(f285,plain,
function(sF17),
inference(subsumption_resolution,[],[f284,f164]) ).
fof(f284,plain,
( ~ relation(sK5)
| function(sF17) ),
inference(subsumption_resolution,[],[f283,f165]) ).
fof(f283,plain,
( ~ function(sK5)
| ~ relation(sK5)
| function(sF17) ),
inference(superposition,[],[f143,f227]) ).
fof(f143,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f562,plain,
( ~ function(sF17)
| ~ relation(sF17) ),
inference(subsumption_resolution,[],[f561,f228]) ).
fof(f228,plain,
~ one_to_one(sF17),
inference(definition_folding,[],[f162,f227]) ).
fof(f162,plain,
~ one_to_one(function_inverse(sK5)),
inference(cnf_transformation,[],[f108]) ).
fof(f561,plain,
( one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(trivial_inequality_removal,[],[f560]) ).
fof(f560,plain,
( ~ function(sF17)
| one_to_one(sF17)
| sK7(sF17) != sK7(sF17)
| ~ relation(sF17) ),
inference(superposition,[],[f172,f549]) ).
fof(f549,plain,
sK7(sF17) = sK8(sF17),
inference(forward_demodulation,[],[f548,f524]) ).
fof(f524,plain,
sK7(sF17) = apply(sK5,apply(sF17,sK7(sF17))),
inference(forward_demodulation,[],[f523,f227]) ).
fof(f523,plain,
sK7(sF17) = apply(sK5,apply(function_inverse(sK5),sK7(sF17))),
inference(subsumption_resolution,[],[f522,f163]) ).
fof(f163,plain,
one_to_one(sK5),
inference(cnf_transformation,[],[f108]) ).
fof(f522,plain,
( ~ one_to_one(sK5)
| sK7(sF17) = apply(sK5,apply(function_inverse(sK5),sK7(sF17))) ),
inference(subsumption_resolution,[],[f521,f165]) ).
fof(f521,plain,
( ~ function(sK5)
| sK7(sF17) = apply(sK5,apply(function_inverse(sK5),sK7(sF17)))
| ~ one_to_one(sK5) ),
inference(subsumption_resolution,[],[f512,f164]) ).
fof(f512,plain,
( ~ relation(sK5)
| ~ function(sK5)
| sK7(sF17) = apply(sK5,apply(function_inverse(sK5),sK7(sF17)))
| ~ one_to_one(sK5) ),
inference(resolution,[],[f472,f230]) ).
fof(f230,plain,
! [X0,X4] :
( ~ in(X4,relation_rng(X0))
| ~ function(X0)
| apply(X0,apply(function_inverse(X0),X4)) = X4
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(subsumption_resolution,[],[f229,f142]) ).
fof(f229,plain,
! [X0,X4] :
( ~ one_to_one(X0)
| ~ in(X4,relation_rng(X0))
| apply(X0,apply(function_inverse(X0),X4)) = X4
| ~ function(X0)
| ~ relation(X0)
| ~ relation(function_inverse(X0)) ),
inference(subsumption_resolution,[],[f224,f143]) ).
fof(f224,plain,
! [X0,X4] :
( ~ relation(X0)
| ~ one_to_one(X0)
| ~ function(function_inverse(X0))
| ~ function(X0)
| ~ relation(function_inverse(X0))
| ~ in(X4,relation_rng(X0))
| apply(X0,apply(function_inverse(X0),X4)) = X4 ),
inference(equality_resolution,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X4] :
( ~ one_to_one(X0)
| ~ relation(X0)
| apply(X0,apply(X1,X4)) = X4
| ~ in(X4,relation_rng(X0))
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X4,X5] :
( ~ one_to_one(X0)
| ~ relation(X0)
| apply(X0,X5) = X4
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ! [X1] :
( ( ( function_inverse(X0) = X1
| ( ( ~ in(sK13(X0,X1),relation_dom(X0))
| sK12(X0,X1) != apply(X0,sK13(X0,X1)) )
& in(sK12(X0,X1),relation_rng(X0))
& sK13(X0,X1) = apply(X1,sK12(X0,X1)) )
| ~ sP0(X0,sK13(X0,X1),sK12(X0,X1),X1)
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( in(X5,relation_dom(X0))
& apply(X0,X5) = X4 )
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5 )
& sP0(X0,X5,X4,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f128,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X3,X2,X1) )
=> ( ( ( ~ in(sK13(X0,X1),relation_dom(X0))
| sK12(X0,X1) != apply(X0,sK13(X0,X1)) )
& in(sK12(X0,X1),relation_rng(X0))
& sK13(X0,X1) = apply(X1,sK12(X0,X1)) )
| ~ sP0(X0,sK13(X0,X1),sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X3,X2,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( in(X5,relation_dom(X0))
& apply(X0,X5) = X4 )
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5 )
& sP0(X0,X5,X4,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X3,X2,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& sP0(X0,X3,X2,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X3,X2,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& sP0(X0,X3,X2,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& sP0(X0,X3,X2,X1) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0) ),
inference(definition_folding,[],[f74,f95]) ).
fof(f95,plain,
! [X0,X3,X2,X1] :
( sP0(X0,X3,X2,X1)
<=> ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2
| ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f74,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2
| ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 ) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2,X3] :
( ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
=> ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 ) )
& ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
=> ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 ) ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f472,plain,
in(sK7(sF17),relation_rng(sK5)),
inference(subsumption_resolution,[],[f471,f285]) ).
fof(f471,plain,
( in(sK7(sF17),relation_rng(sK5))
| ~ function(sF17) ),
inference(subsumption_resolution,[],[f470,f228]) ).
fof(f470,plain,
( in(sK7(sF17),relation_rng(sK5))
| one_to_one(sF17)
| ~ function(sF17) ),
inference(subsumption_resolution,[],[f451,f282]) ).
fof(f451,plain,
( ~ relation(sF17)
| one_to_one(sF17)
| ~ function(sF17)
| in(sK7(sF17),relation_rng(sK5)) ),
inference(superposition,[],[f171,f443]) ).
fof(f443,plain,
relation_dom(sF17) = relation_rng(sK5),
inference(subsumption_resolution,[],[f442,f164]) ).
fof(f442,plain,
( relation_dom(sF17) = relation_rng(sK5)
| ~ relation(sK5) ),
inference(subsumption_resolution,[],[f441,f285]) ).
fof(f441,plain,
( ~ function(sF17)
| relation_dom(sF17) = relation_rng(sK5)
| ~ relation(sK5) ),
inference(subsumption_resolution,[],[f440,f163]) ).
fof(f440,plain,
( ~ one_to_one(sK5)
| relation_dom(sF17) = relation_rng(sK5)
| ~ relation(sK5)
| ~ function(sF17) ),
inference(subsumption_resolution,[],[f439,f165]) ).
fof(f439,plain,
( ~ function(sK5)
| ~ function(sF17)
| ~ relation(sK5)
| relation_dom(sF17) = relation_rng(sK5)
| ~ one_to_one(sK5) ),
inference(subsumption_resolution,[],[f436,f282]) ).
fof(f436,plain,
( ~ relation(sF17)
| ~ function(sF17)
| ~ relation(sK5)
| ~ one_to_one(sK5)
| ~ function(sK5)
| relation_dom(sF17) = relation_rng(sK5) ),
inference(superposition,[],[f226,f227]) ).
fof(f226,plain,
! [X0] :
( ~ relation(function_inverse(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ function(X0)
| ~ one_to_one(X0)
| ~ function(function_inverse(X0)) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ one_to_one(X0)
| ~ relation(X0)
| relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f171,plain,
! [X0] :
( in(sK7(X0),relation_dom(X0))
| ~ function(X0)
| one_to_one(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ( in(sK8(X0),relation_dom(X0))
& apply(X0,sK7(X0)) = apply(X0,sK8(X0))
& sK8(X0) != sK7(X0)
& in(sK7(X0),relation_dom(X0)) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f112,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X3,X4] :
( in(X4,relation_dom(X0))
& apply(X0,X3) = apply(X0,X4)
& X3 != X4
& in(X3,relation_dom(X0)) )
=> ( in(sK8(X0),relation_dom(X0))
& apply(X0,sK7(X0)) = apply(X0,sK8(X0))
& sK8(X0) != sK7(X0)
& in(sK7(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X3,X4] :
( in(X4,relation_dom(X0))
& apply(X0,X3) = apply(X0,X4)
& X3 != X4
& in(X3,relation_dom(X0)) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X1,X2] :
( in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& X1 != X2
& in(X1,relation_dom(X0)) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ! [X1,X2] :
( ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
<=> one_to_one(X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X2,relation_dom(X0))
& in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f548,plain,
apply(sK5,apply(sF17,sK7(sF17))) = sK8(sF17),
inference(forward_demodulation,[],[f547,f389]) ).
fof(f389,plain,
apply(sF17,sK8(sF17)) = apply(sF17,sK7(sF17)),
inference(subsumption_resolution,[],[f388,f228]) ).
fof(f388,plain,
( one_to_one(sF17)
| apply(sF17,sK8(sF17)) = apply(sF17,sK7(sF17)) ),
inference(subsumption_resolution,[],[f387,f285]) ).
fof(f387,plain,
( apply(sF17,sK8(sF17)) = apply(sF17,sK7(sF17))
| ~ function(sF17)
| one_to_one(sF17) ),
inference(resolution,[],[f173,f282]) ).
fof(f173,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| apply(X0,sK7(X0)) = apply(X0,sK8(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f547,plain,
apply(sK5,apply(sF17,sK8(sF17))) = sK8(sF17),
inference(forward_demodulation,[],[f546,f227]) ).
fof(f546,plain,
sK8(sF17) = apply(sK5,apply(function_inverse(sK5),sK8(sF17))),
inference(subsumption_resolution,[],[f545,f164]) ).
fof(f545,plain,
( ~ relation(sK5)
| sK8(sF17) = apply(sK5,apply(function_inverse(sK5),sK8(sF17))) ),
inference(subsumption_resolution,[],[f544,f163]) ).
fof(f544,plain,
( sK8(sF17) = apply(sK5,apply(function_inverse(sK5),sK8(sF17)))
| ~ one_to_one(sK5)
| ~ relation(sK5) ),
inference(subsumption_resolution,[],[f535,f165]) ).
fof(f535,plain,
( ~ function(sK5)
| ~ relation(sK5)
| sK8(sF17) = apply(sK5,apply(function_inverse(sK5),sK8(sF17)))
| ~ one_to_one(sK5) ),
inference(resolution,[],[f487,f230]) ).
fof(f487,plain,
in(sK8(sF17),relation_rng(sK5)),
inference(subsumption_resolution,[],[f486,f285]) ).
fof(f486,plain,
( ~ function(sF17)
| in(sK8(sF17),relation_rng(sK5)) ),
inference(subsumption_resolution,[],[f485,f228]) ).
fof(f485,plain,
( one_to_one(sF17)
| ~ function(sF17)
| in(sK8(sF17),relation_rng(sK5)) ),
inference(subsumption_resolution,[],[f452,f282]) ).
fof(f452,plain,
( ~ relation(sF17)
| one_to_one(sF17)
| ~ function(sF17)
| in(sK8(sF17),relation_rng(sK5)) ),
inference(superposition,[],[f174,f443]) ).
fof(f174,plain,
! [X0] :
( in(sK8(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f172,plain,
! [X0] :
( sK8(X0) != sK7(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU221+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:54:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ipcrm: permission denied for id (674529280)
% 0.12/0.35 ipcrm: permission denied for id (674562049)
% 0.12/0.35 ipcrm: permission denied for id (674594819)
% 0.12/0.36 ipcrm: permission denied for id (674660358)
% 0.12/0.36 ipcrm: permission denied for id (674725895)
% 0.12/0.37 ipcrm: permission denied for id (674824208)
% 0.12/0.37 ipcrm: permission denied for id (674856978)
% 0.19/0.37 ipcrm: permission denied for id (674922517)
% 0.19/0.38 ipcrm: permission denied for id (675020826)
% 0.19/0.38 ipcrm: permission denied for id (675086364)
% 0.19/0.38 ipcrm: permission denied for id (675119135)
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% 0.19/0.39 ipcrm: permission denied for id (675348520)
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% 0.19/0.41 ipcrm: permission denied for id (675577907)
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% 0.19/0.43 ipcrm: permission denied for id (676069446)
% 0.19/0.44 ipcrm: permission denied for id (676167758)
% 0.19/0.44 ipcrm: permission denied for id (676200527)
% 0.19/0.44 ipcrm: permission denied for id (676233296)
% 0.19/0.44 ipcrm: permission denied for id (676266066)
% 0.19/0.45 ipcrm: permission denied for id (676397143)
% 0.19/0.45 ipcrm: permission denied for id (676462682)
% 0.19/0.45 ipcrm: permission denied for id (676495451)
% 0.19/0.46 ipcrm: permission denied for id (676593759)
% 0.19/0.46 ipcrm: permission denied for id (676659298)
% 0.19/0.46 ipcrm: permission denied for id (676724837)
% 0.19/0.47 ipcrm: permission denied for id (676823147)
% 0.19/0.48 ipcrm: permission denied for id (676921457)
% 0.19/0.48 ipcrm: permission denied for id (676954228)
% 0.76/0.64 % (27881)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 (2998ds/37Mi)
% 0.76/0.64 % (27896)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 0.76/0.64 % (27892)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.76/0.65 % (27903)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 0.76/0.65 % (27901)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 (2998ds/498Mi)
% 0.76/0.65 % (27895)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 (2998ds/99Mi)
% 1.38/0.65 % (27904)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.38/0.66 % (27888)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 (2998ds/51Mi)
% 1.38/0.66 TRYING [1]
% 1.38/0.66 % (27885)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.38/0.66 TRYING [2]
% 1.38/0.66 TRYING [3]
% 1.38/0.67 % (27880)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.38/0.67 % (27880)Refutation not found, incomplete strategy% (27880)------------------------------
% 1.38/0.67 % (27880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.67 % (27880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.67 % (27880)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.67
% 1.38/0.67 % (27880)Memory used [KB]: 5500
% 1.38/0.67 % (27880)Time elapsed: 0.113 s
% 1.38/0.67 % (27880)Instructions burned: 7 (million)
% 1.38/0.67 % (27880)------------------------------
% 1.38/0.67 % (27880)------------------------------
% 1.38/0.67 % (27907)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.38/0.67 TRYING [1]
% 1.38/0.67 % (27879)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 (2998ds/191324Mi)
% 1.38/0.67 TRYING [2]
% 1.53/0.67 % (27882)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.53/0.67 % (27905)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 (2998ds/68Mi)
% 1.53/0.68 TRYING [3]
% 1.53/0.68 % (27903)First to succeed.
% 1.53/0.68 % (27883)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.53/0.68 % (27884)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 (2998ds/48Mi)
% 1.53/0.68 % (27902)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 (2998ds/467Mi)
% 1.53/0.68 % (27897)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.53/0.68 % (27891)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.53/0.68 % (27898)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 (2998ds/100Mi)
% 1.53/0.68 % (27894)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 (2998ds/75Mi)
% 1.53/0.69 % (27893)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 (2998ds/68Mi)
% 1.53/0.69 % (27886)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.53/0.69 % (27889)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.53/0.69 TRYING [1]
% 1.53/0.69 % (27908)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 (2998ds/355Mi)
% 1.53/0.69 % (27906)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 (2998ds/177Mi)
% 1.53/0.69 % (27887)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.53/0.69 % (27900)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.53/0.70 TRYING [2]
% 1.53/0.70 % (27881)Also succeeded, but the first one will report.
% 1.53/0.70 % (27903)Refutation found. Thanks to Tanya!
% 1.53/0.70 % SZS status Theorem for theBenchmark
% 1.53/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.70 % (27903)------------------------------
% 1.53/0.70 % (27903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.70 % (27903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.70 % (27903)Termination reason: Refutation
% 1.53/0.70
% 1.53/0.70 % (27903)Memory used [KB]: 5756
% 1.53/0.70 % (27903)Time elapsed: 0.142 s
% 1.53/0.70 % (27903)Instructions burned: 13 (million)
% 1.53/0.70 % (27903)------------------------------
% 1.53/0.70 % (27903)------------------------------
% 1.53/0.70 % (27743)Success in time 0.352 s
%------------------------------------------------------------------------------