TSTP Solution File: SET992+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET992+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n018.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 18:26:17 EDT 2022
% Result : Theorem 1.97s 0.63s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 102 ( 25 unt; 0 def)
% Number of atoms : 342 ( 154 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 377 ( 137 ~; 157 |; 63 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 130 ( 105 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f905,plain,
$false,
inference(subsumption_resolution,[],[f794,f142]) ).
fof(f142,plain,
empty(empty_set),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f794,plain,
~ empty(empty_set),
inference(backward_demodulation,[],[f220,f791]) ).
fof(f791,plain,
empty_set = sF18,
inference(subsumption_resolution,[],[f790,f407]) ).
fof(f407,plain,
( in(sK6(sK11,empty_set),sF16)
| empty_set = sF18 ),
inference(resolution,[],[f363,f142]) ).
fof(f363,plain,
! [X5] :
( ~ empty(X5)
| sF18 = X5
| in(sK6(sK11,X5),sF16) ),
inference(resolution,[],[f334,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
~ ( in(X1,X0)
& empty(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f334,plain,
! [X0] :
( in(sK5(sK11,X0),X0)
| in(sK6(sK11,X0),sF16)
| sF18 = X0 ),
inference(forward_demodulation,[],[f333,f173]) ).
fof(f173,plain,
relation_rng(sK11) = sF18,
introduced(function_definition,[]) ).
fof(f333,plain,
! [X0] :
( relation_rng(sK11) = X0
| in(sK5(sK11,X0),X0)
| in(sK6(sK11,X0),sF16) ),
inference(forward_demodulation,[],[f332,f177]) ).
fof(f177,plain,
relation_dom(sK11) = sF16,
inference(backward_demodulation,[],[f171,f172]) ).
fof(f172,plain,
sF17 = sF16,
inference(definition_folding,[],[f149,f171,f170]) ).
fof(f170,plain,
singleton(sK12) = sF16,
introduced(function_definition,[]) ).
fof(f149,plain,
singleton(sK12) = relation_dom(sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( function(sK11)
& singleton(sK12) = relation_dom(sK11)
& relation_rng(sK11) != singleton(apply(sK11,sK12))
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f99,f100]) ).
fof(f100,plain,
( ? [X0,X1] :
( function(X0)
& relation_dom(X0) = singleton(X1)
& relation_rng(X0) != singleton(apply(X0,X1))
& relation(X0) )
=> ( function(sK11)
& singleton(sK12) = relation_dom(sK11)
& relation_rng(sK11) != singleton(apply(sK11,sK12))
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0,X1] :
( function(X0)
& relation_dom(X0) = singleton(X1)
& relation_rng(X0) != singleton(apply(X0,X1))
& relation(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
? [X1,X0] :
( function(X1)
& singleton(X0) = relation_dom(X1)
& relation_rng(X1) != singleton(apply(X1,X0))
& relation(X1) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0,X1] :
( relation_rng(X1) != singleton(apply(X1,X0))
& singleton(X0) = relation_dom(X1)
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( singleton(X0) = relation_dom(X1)
=> relation_rng(X1) = singleton(apply(X1,X0)) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( singleton(X0) = relation_dom(X1)
=> relation_rng(X1) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_funct_1) ).
fof(f171,plain,
relation_dom(sK11) = sF17,
introduced(function_definition,[]) ).
fof(f332,plain,
! [X0] :
( in(sK6(sK11,X0),relation_dom(sK11))
| in(sK5(sK11,X0),X0)
| relation_rng(sK11) = X0 ),
inference(subsumption_resolution,[],[f327,f147]) ).
fof(f147,plain,
relation(sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f327,plain,
! [X0] :
( in(sK5(sK11,X0),X0)
| in(sK6(sK11,X0),relation_dom(sK11))
| relation_rng(sK11) = X0
| ~ relation(sK11) ),
inference(resolution,[],[f134,f150]) ).
fof(f150,plain,
function(sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f134,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(sK5(X0,X1),X1)
| in(sK6(X0,X1),relation_dom(X0))
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ~ in(sK5(X0,X1),X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK5(X0,X1) ) )
& ( in(sK5(X0,X1),X1)
| ( in(sK6(X0,X1),relation_dom(X0))
& apply(X0,sK6(X0,X1)) = sK5(X0,X1) ) ) ) )
& ( ! [X5] :
( ( ( in(sK7(X0,X5),relation_dom(X0))
& apply(X0,sK7(X0,X5)) = X5 )
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| apply(X0,X7) != X5 ) ) )
| relation_rng(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f86,f89,f88,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( in(X2,X1)
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 ) ) )
=> ( ( ~ in(sK5(X0,X1),X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK5(X0,X1) ) )
& ( in(sK5(X0,X1),X1)
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = sK5(X0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = sK5(X0,X1) )
=> ( in(sK6(X0,X1),relation_dom(X0))
& apply(X0,sK6(X0,X1)) = sK5(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X5] :
( ? [X6] :
( in(X6,relation_dom(X0))
& apply(X0,X6) = X5 )
=> ( in(sK7(X0,X5),relation_dom(X0))
& apply(X0,sK7(X0,X5)) = X5 ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( in(X2,X1)
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 ) ) ) )
& ( ! [X5] :
( ( ? [X6] :
( in(X6,relation_dom(X0))
& apply(X0,X6) = X5 )
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| apply(X0,X7) != X5 ) ) )
| relation_rng(X0) != X1 ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( in(X2,X1)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 ) ) ) )
& ( ! [X2] :
( ( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) ) )
| relation_rng(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
<=> in(X2,X1) ) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
<=> in(X2,X1) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f790,plain,
( ~ in(sK6(sK11,empty_set),sF16)
| empty_set = sF18 ),
inference(subsumption_resolution,[],[f788,f710]) ).
fof(f710,plain,
( sK5(sK11,empty_set) = sF19
| empty_set = sF18 ),
inference(forward_demodulation,[],[f708,f174]) ).
fof(f174,plain,
apply(sK11,sK12) = sF19,
introduced(function_definition,[]) ).
fof(f708,plain,
( apply(sK11,sK12) = sK5(sK11,empty_set)
| empty_set = sF18 ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f702,plain,
( empty_set = sF18
| empty_set = sF18
| apply(sK11,sK12) = sK5(sK11,empty_set) ),
inference(superposition,[],[f690,f411]) ).
fof(f411,plain,
( sK6(sK11,empty_set) = sK12
| empty_set = sF18 ),
inference(resolution,[],[f407,f222]) ).
fof(f222,plain,
! [X0] :
( ~ in(X0,sF16)
| sK12 = X0 ),
inference(superposition,[],[f163,f170]) ).
fof(f163,plain,
! [X2,X1] :
( ~ in(X2,singleton(X1))
| X1 = X2 ),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ( ( ~ in(sK0(X0,X1),X0)
| sK0(X0,X1) != X1 )
& ( in(sK0(X0,X1),X0)
| sK0(X0,X1) = X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f70,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) )
=> ( ( ~ in(sK0(X0,X1),X0)
| sK0(X0,X1) != X1 )
& ( in(sK0(X0,X1),X0)
| sK0(X0,X1) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ! [X2] :
( X0 = X2
<=> in(X2,X1) )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f690,plain,
( sK5(sK11,empty_set) = apply(sK11,sK6(sK11,empty_set))
| empty_set = sF18 ),
inference(resolution,[],[f383,f142]) ).
fof(f383,plain,
! [X5] :
( ~ empty(X5)
| sF18 = X5
| sK5(sK11,X5) = apply(sK11,sK6(sK11,X5)) ),
inference(resolution,[],[f342,f116]) ).
fof(f342,plain,
! [X0] :
( in(sK5(sK11,X0),X0)
| sF18 = X0
| sK5(sK11,X0) = apply(sK11,sK6(sK11,X0)) ),
inference(forward_demodulation,[],[f341,f173]) ).
fof(f341,plain,
! [X0] :
( relation_rng(sK11) = X0
| sK5(sK11,X0) = apply(sK11,sK6(sK11,X0))
| in(sK5(sK11,X0),X0) ),
inference(subsumption_resolution,[],[f336,f147]) ).
fof(f336,plain,
! [X0] :
( relation_rng(sK11) = X0
| in(sK5(sK11,X0),X0)
| sK5(sK11,X0) = apply(sK11,sK6(sK11,X0))
| ~ relation(sK11) ),
inference(resolution,[],[f133,f150]) ).
fof(f133,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(sK5(X0,X1),X1)
| apply(X0,sK6(X0,X1)) = sK5(X0,X1)
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f788,plain,
( sK5(sK11,empty_set) != sF19
| empty_set = sF18
| ~ in(sK6(sK11,empty_set),sF16) ),
inference(superposition,[],[f786,f690]) ).
fof(f786,plain,
! [X0] :
( sF19 != apply(sK11,X0)
| ~ in(X0,sF16) ),
inference(forward_demodulation,[],[f785,f177]) ).
fof(f785,plain,
! [X0] :
( sF19 != apply(sK11,X0)
| ~ in(X0,relation_dom(sK11)) ),
inference(subsumption_resolution,[],[f784,f176]) ).
fof(f176,plain,
sF18 != sF20,
inference(definition_folding,[],[f148,f175,f174,f173]) ).
fof(f175,plain,
singleton(sF19) = sF20,
introduced(function_definition,[]) ).
fof(f148,plain,
relation_rng(sK11) != singleton(apply(sK11,sK12)),
inference(cnf_transformation,[],[f101]) ).
fof(f784,plain,
! [X0] :
( sF19 != apply(sK11,X0)
| ~ in(X0,relation_dom(sK11))
| sF18 = sF20 ),
inference(forward_demodulation,[],[f783,f173]) ).
fof(f783,plain,
! [X0] :
( relation_rng(sK11) = sF20
| sF19 != apply(sK11,X0)
| ~ in(X0,relation_dom(sK11)) ),
inference(subsumption_resolution,[],[f782,f150]) ).
fof(f782,plain,
! [X0] :
( relation_rng(sK11) = sF20
| sF19 != apply(sK11,X0)
| ~ function(sK11)
| ~ in(X0,relation_dom(sK11)) ),
inference(subsumption_resolution,[],[f781,f180]) ).
fof(f180,plain,
in(sF19,sF20),
inference(superposition,[],[f165,f175]) ).
fof(f165,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X0] :
( in(X2,X0)
| singleton(X2) != X0 ),
inference(equality_resolution,[],[f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( in(X2,X0)
| X1 != X2
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f781,plain,
! [X0] :
( sF19 != apply(sK11,X0)
| relation_rng(sK11) = sF20
| ~ in(sF19,sF20)
| ~ function(sK11)
| ~ in(X0,relation_dom(sK11)) ),
inference(subsumption_resolution,[],[f780,f147]) ).
fof(f780,plain,
! [X0] :
( sF19 != apply(sK11,X0)
| ~ relation(sK11)
| ~ function(sK11)
| relation_rng(sK11) = sF20
| ~ in(X0,relation_dom(sK11))
| ~ in(sF19,sF20) ),
inference(superposition,[],[f135,f771]) ).
fof(f771,plain,
sK5(sK11,sF20) = sF19,
inference(duplicate_literal_removal,[],[f770]) ).
fof(f770,plain,
( sK5(sK11,sF20) = sF19
| sK5(sK11,sF20) = sF19 ),
inference(forward_demodulation,[],[f767,f174]) ).
fof(f767,plain,
( apply(sK11,sK12) = sK5(sK11,sF20)
| sK5(sK11,sF20) = sF19 ),
inference(duplicate_literal_removal,[],[f763]) ).
fof(f763,plain,
( apply(sK11,sK12) = sK5(sK11,sF20)
| sK5(sK11,sF20) = sF19
| sK5(sK11,sF20) = sF19 ),
inference(superposition,[],[f389,f425]) ).
fof(f425,plain,
( sK12 = sK6(sK11,sF20)
| sK5(sK11,sF20) = sF19 ),
inference(resolution,[],[f378,f222]) ).
fof(f378,plain,
( in(sK6(sK11,sF20),sF16)
| sK5(sK11,sF20) = sF19 ),
inference(subsumption_resolution,[],[f368,f176]) ).
fof(f368,plain,
( sF18 = sF20
| sK5(sK11,sF20) = sF19
| in(sK6(sK11,sF20),sF16) ),
inference(resolution,[],[f334,f223]) ).
fof(f223,plain,
! [X1] :
( ~ in(X1,sF20)
| sF19 = X1 ),
inference(superposition,[],[f163,f175]) ).
fof(f389,plain,
( sK5(sK11,sF20) = apply(sK11,sK6(sK11,sF20))
| sK5(sK11,sF20) = sF19 ),
inference(subsumption_resolution,[],[f388,f176]) ).
fof(f388,plain,
( sK5(sK11,sF20) = apply(sK11,sK6(sK11,sF20))
| sF18 = sF20
| sK5(sK11,sF20) = sF19 ),
inference(resolution,[],[f342,f223]) ).
fof(f135,plain,
! [X3,X0,X1] :
( ~ in(sK5(X0,X1),X1)
| ~ relation(X0)
| apply(X0,X3) != sK5(X0,X1)
| relation_rng(X0) = X1
| ~ in(X3,relation_dom(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f220,plain,
~ empty(sF18),
inference(subsumption_resolution,[],[f219,f186]) ).
fof(f186,plain,
~ empty(sK11),
inference(subsumption_resolution,[],[f185,f179]) ).
fof(f179,plain,
~ empty(sF16),
inference(superposition,[],[f151,f170]) ).
fof(f151,plain,
! [X0] : ~ empty(singleton(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : ~ empty(singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(f185,plain,
( ~ empty(sK11)
| empty(sF16) ),
inference(superposition,[],[f128,f177]) ).
fof(f128,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f219,plain,
( empty(sK11)
| ~ empty(sF18) ),
inference(subsumption_resolution,[],[f217,f147]) ).
fof(f217,plain,
( ~ empty(sF18)
| ~ relation(sK11)
| empty(sK11) ),
inference(superposition,[],[f156,f173]) ).
fof(f156,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET992+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:37:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (7553)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)
% 0.21/0.50 % (7568)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.50 % (7554)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)
% 0.21/0.51 TRYING [1]
% 0.21/0.51 % (7555)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 TRYING [2]
% 0.21/0.51 TRYING [3]
% 0.21/0.51 % (7563)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (7569)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 TRYING [4]
% 0.21/0.52 % (7562)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)
% 0.21/0.52 % (7564)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (7552)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)
% 0.21/0.52 % (7557)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)
% 0.21/0.52 % (7570)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)
% 0.21/0.52 % (7575)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (7577)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 % (7551)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)
% 0.21/0.53 % (7574)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 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (7556)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 % (7553)Instruction limit reached!
% 0.21/0.53 % (7553)------------------------------
% 0.21/0.53 % (7553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (7565)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 % (7566)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)
% 0.21/0.53 % (7553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (7553)Termination reason: Unknown
% 0.21/0.53 % (7553)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (7553)Memory used [KB]: 1407
% 0.21/0.53 % (7553)Time elapsed: 0.115 s
% 0.21/0.53 % (7553)Instructions burned: 38 (million)
% 0.21/0.53 % (7553)------------------------------
% 0.21/0.53 % (7553)------------------------------
% 0.21/0.53 % (7561)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 % (7560)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)
% 0.21/0.54 TRYING [5]
% 0.21/0.54 % (7558)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (7573)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)
% 0.21/0.54 % (7568)Instruction limit reached!
% 0.21/0.54 % (7568)------------------------------
% 0.21/0.54 % (7568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (7568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (7568)Termination reason: Unknown
% 0.21/0.54 % (7568)Termination phase: Finite model building constraint generation
% 0.21/0.54
% 0.21/0.54 % (7568)Memory used [KB]: 7291
% 0.21/0.54 % (7568)Time elapsed: 0.119 s
% 0.21/0.54 % (7568)Instructions burned: 61 (million)
% 0.21/0.54 % (7568)------------------------------
% 0.21/0.54 % (7568)------------------------------
% 0.21/0.54 % (7576)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (7558)Instruction limit reached!
% 0.21/0.54 % (7558)------------------------------
% 0.21/0.54 % (7558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (7558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (7558)Termination reason: Unknown
% 0.21/0.54 % (7558)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (7558)Memory used [KB]: 5628
% 0.21/0.54 % (7558)Time elapsed: 0.094 s
% 0.21/0.54 % (7558)Instructions burned: 8 (million)
% 0.21/0.54 % (7558)------------------------------
% 0.21/0.54 % (7558)------------------------------
% 0.21/0.54 % (7580)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)
% 0.21/0.54 % (7559)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (7559)Instruction limit reached!
% 0.21/0.54 % (7559)------------------------------
% 0.21/0.54 % (7559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (7559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (7559)Termination reason: Unknown
% 0.21/0.54 % (7559)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (7559)Memory used [KB]: 895
% 0.21/0.54 % (7559)Time elapsed: 0.002 s
% 0.21/0.54 % (7559)Instructions burned: 2 (million)
% 0.21/0.54 % (7559)------------------------------
% 0.21/0.54 % (7559)------------------------------
% 0.21/0.54 % (7578)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)
% 0.21/0.54 % (7552)Refutation not found, incomplete strategy% (7552)------------------------------
% 0.21/0.54 % (7552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (7552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (7552)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (7552)Memory used [KB]: 5500
% 0.21/0.54 % (7552)Time elapsed: 0.137 s
% 0.21/0.54 % (7552)Instructions burned: 4 (million)
% 0.21/0.54 % (7552)------------------------------
% 0.21/0.54 % (7552)------------------------------
% 0.21/0.55 % (7572)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 % (7567)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (7571)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)
% 0.21/0.55 % (7579)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 TRYING [4]
% 0.21/0.57 TRYING [4]
% 1.61/0.59 TRYING [5]
% 1.61/0.59 % (7554)Instruction limit reached!
% 1.61/0.59 % (7554)------------------------------
% 1.61/0.59 % (7554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.60 TRYING [5]
% 1.97/0.61 % (7554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (7554)Termination reason: Unknown
% 1.97/0.61 % (7554)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (7554)Memory used [KB]: 5884
% 1.97/0.61 % (7554)Time elapsed: 0.166 s
% 1.97/0.61 % (7554)Instructions burned: 51 (million)
% 1.97/0.61 % (7554)------------------------------
% 1.97/0.61 % (7554)------------------------------
% 1.97/0.61 % (7557)Instruction limit reached!
% 1.97/0.61 % (7557)------------------------------
% 1.97/0.61 % (7557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62 % (7555)Instruction limit reached!
% 1.97/0.62 % (7555)------------------------------
% 1.97/0.62 % (7555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62 % (7556)Instruction limit reached!
% 1.97/0.62 % (7556)------------------------------
% 1.97/0.62 % (7556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62 % (7557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62 % (7557)Termination reason: Unknown
% 1.97/0.62 % (7557)Termination phase: Finite model building constraint generation
% 1.97/0.62
% 1.97/0.62 % (7557)Memory used [KB]: 7291
% 1.97/0.62 % (7557)Time elapsed: 0.197 s
% 1.97/0.62 % (7557)Instructions burned: 53 (million)
% 1.97/0.62 % (7557)------------------------------
% 1.97/0.62 % (7557)------------------------------
% 1.97/0.63 % (7555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63 % (7555)Termination reason: Unknown
% 1.97/0.63 % (7555)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (7555)Memory used [KB]: 6012
% 1.97/0.63 % (7555)Time elapsed: 0.209 s
% 1.97/0.63 % (7555)Instructions burned: 52 (million)
% 1.97/0.63 % (7555)------------------------------
% 1.97/0.63 % (7555)------------------------------
% 1.97/0.63 % (7566)First to succeed.
% 1.97/0.63 % (7556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63 % (7556)Termination reason: Unknown
% 1.97/0.63 % (7556)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (7556)Memory used [KB]: 5884
% 1.97/0.63 % (7556)Time elapsed: 0.212 s
% 1.97/0.63 % (7556)Instructions burned: 49 (million)
% 1.97/0.63 % (7556)------------------------------
% 1.97/0.63 % (7556)------------------------------
% 1.97/0.63 % (7654)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)
% 1.97/0.63 % (7566)Refutation found. Thanks to Tanya!
% 1.97/0.63 % SZS status Theorem for theBenchmark
% 1.97/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.64 % (7566)------------------------------
% 1.97/0.64 % (7566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.64 % (7566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.64 % (7566)Termination reason: Refutation
% 1.97/0.64
% 1.97/0.64 % (7566)Memory used [KB]: 1535
% 1.97/0.64 % (7566)Time elapsed: 0.169 s
% 1.97/0.64 % (7566)Instructions burned: 43 (million)
% 1.97/0.64 % (7566)------------------------------
% 1.97/0.64 % (7566)------------------------------
% 1.97/0.64 % (7545)Success in time 0.272 s
%------------------------------------------------------------------------------