TSTP Solution File: SEU225+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU225+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 : n020.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 18:32:39 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 89 ( 12 unt; 0 def)
% Number of atoms : 365 ( 96 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 443 ( 167 ~; 171 |; 68 &)
% ( 16 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 135 ( 119 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f702,plain,
$false,
inference(avatar_sat_refutation,[],[f477,f678,f691]) ).
fof(f691,plain,
( spl18_9
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| spl18_9
| ~ spl18_12 ),
inference(subsumption_resolution,[],[f689,f179]) ).
fof(f179,plain,
in(sK10,sK9),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( function(sK11)
& relation(sK11)
& apply(relation_dom_restriction(sK11,sK9),sK10) != apply(sK11,sK10)
& in(sK10,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f124,f125]) ).
fof(f125,plain,
( ? [X0,X1,X2] :
( function(X2)
& relation(X2)
& apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,X0) )
=> ( function(sK11)
& relation(sK11)
& apply(relation_dom_restriction(sK11,sK9),sK10) != apply(sK11,sK10)
& in(sK10,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
? [X1,X2,X0] :
( function(X0)
& relation(X0)
& apply(X0,X2) != apply(relation_dom_restriction(X0,X1),X2)
& in(X2,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X2,X1,X0] :
( apply(X0,X2) != apply(relation_dom_restriction(X0,X1),X2)
& in(X2,X1)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X2,X1,X0] :
( ( relation(X0)
& function(X0) )
=> ( in(X2,X1)
=> apply(X0,X2) = apply(relation_dom_restriction(X0,X1),X2) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_funct_1) ).
fof(f689,plain,
( ~ in(sK10,sK9)
| spl18_9
| ~ spl18_12 ),
inference(subsumption_resolution,[],[f656,f431]) ).
fof(f431,plain,
( ~ in(sK10,relation_dom(sF15))
| spl18_9 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl18_9
<=> in(sK10,relation_dom(sF15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f656,plain,
( in(sK10,relation_dom(sF15))
| ~ in(sK10,sK9)
| ~ spl18_12 ),
inference(resolution,[],[f404,f448]) ).
fof(f448,plain,
( in(sK10,relation_dom(sK11))
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl18_12
<=> in(sK10,relation_dom(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f404,plain,
! [X0] :
( ~ in(X0,relation_dom(sK11))
| in(X0,relation_dom(sF15))
| ~ in(X0,sK9) ),
inference(subsumption_resolution,[],[f403,f182]) ).
fof(f182,plain,
function(sK11),
inference(cnf_transformation,[],[f126]) ).
fof(f403,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,sK9)
| ~ in(X0,relation_dom(sK11))
| ~ function(sK11) ),
inference(subsumption_resolution,[],[f400,f181]) ).
fof(f181,plain,
relation(sK11),
inference(cnf_transformation,[],[f126]) ).
fof(f400,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sK11))
| ~ relation(sK11)
| ~ function(sK11)
| ~ in(X0,sK9) ),
inference(superposition,[],[f164,f223]) ).
fof(f223,plain,
sF15 = relation_dom_restriction(sK11,sK9),
introduced(function_definition,[]) ).
fof(f164,plain,
! [X2,X0,X1] :
( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(X2,X0)
| ~ function(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
| ~ in(X2,relation_dom(relation_dom_restriction(X1,X0))) )
& ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ~ in(X2,X0)
| ~ in(X2,relation_dom(X1)) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
| ~ in(X2,relation_dom(relation_dom_restriction(X1,X0))) )
& ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ~ in(X2,X0)
| ~ in(X2,relation_dom(X1)) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
<=> in(X2,relation_dom(relation_dom_restriction(X1,X0))) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X1,X0,X2] :
( ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
<=> in(X2,relation_dom(relation_dom_restriction(X1,X0))) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( ( relation(X1)
& function(X1) )
=> ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
<=> in(X2,relation_dom(relation_dom_restriction(X1,X0))) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( ( in(X1,X0)
& in(X1,relation_dom(X2)) )
<=> in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
fof(f678,plain,
~ spl18_9,
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl18_9 ),
inference(subsumption_resolution,[],[f676,f226]) ).
fof(f226,plain,
sF17 != sF16,
inference(definition_folding,[],[f180,f225,f224,f223]) ).
fof(f224,plain,
apply(sF15,sK10) = sF16,
introduced(function_definition,[]) ).
fof(f225,plain,
apply(sK11,sK10) = sF17,
introduced(function_definition,[]) ).
fof(f180,plain,
apply(relation_dom_restriction(sK11,sK9),sK10) != apply(sK11,sK10),
inference(cnf_transformation,[],[f126]) ).
fof(f676,plain,
( sF17 = sF16
| ~ spl18_9 ),
inference(backward_demodulation,[],[f225,f675]) ).
fof(f675,plain,
( apply(sK11,sK10) = sF16
| ~ spl18_9 ),
inference(forward_demodulation,[],[f672,f224]) ).
fof(f672,plain,
( apply(sK11,sK10) = apply(sF15,sK10)
| ~ spl18_9 ),
inference(resolution,[],[f460,f430]) ).
fof(f430,plain,
( in(sK10,relation_dom(sF15))
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f460,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| apply(sF15,X0) = apply(sK11,X0) ),
inference(subsumption_resolution,[],[f459,f181]) ).
fof(f459,plain,
! [X0] :
( apply(sF15,X0) = apply(sK11,X0)
| ~ relation(sK11)
| ~ in(X0,relation_dom(sF15)) ),
inference(subsumption_resolution,[],[f455,f182]) ).
fof(f455,plain,
! [X0] :
( apply(sF15,X0) = apply(sK11,X0)
| ~ function(sK11)
| ~ in(X0,relation_dom(sF15))
| ~ relation(sK11) ),
inference(superposition,[],[f231,f223]) ).
fof(f231,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3)
| ~ relation(X2) ),
inference(subsumption_resolution,[],[f230,f203]) ).
fof(f203,plain,
! [X0,X1] :
( function(relation_dom_restriction(X1,X0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X1,X0))
& relation(relation_dom_restriction(X1,X0)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f230,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(relation_dom_restriction(X2,X0))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(subsumption_resolution,[],[f219,f206]) ).
fof(f206,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f219,plain,
! [X2,X3,X0] :
( ~ relation(relation_dom_restriction(X2,X0))
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3)
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ~ relation(X2)
| ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) )
| relation_dom_restriction(X2,X0) != X1 )
& ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ( in(sK7(X1,X2),relation_dom(X1))
& apply(X2,sK7(X1,X2)) != apply(X1,sK7(X1,X2)) ) ) )
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f119,f120]) ).
fof(f120,plain,
! [X1,X2] :
( ? [X4] :
( in(X4,relation_dom(X1))
& apply(X2,X4) != apply(X1,X4) )
=> ( in(sK7(X1,X2),relation_dom(X1))
& apply(X2,sK7(X1,X2)) != apply(X1,sK7(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( ~ relation(X2)
| ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) )
| relation_dom_restriction(X2,X0) != X1 )
& ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X4] :
( in(X4,relation_dom(X1))
& apply(X2,X4) != apply(X1,X4) ) ) )
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X1,X0] :
( ! [X2] :
( ~ relation(X2)
| ( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) ) )
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X1,X0] :
( ! [X2] :
( ~ relation(X2)
| ( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) ) )
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ! [X2] :
( ~ relation(X2)
| ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ! [X2] :
( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X1) = X0
<=> ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( in(X3,relation_dom(X0))
=> apply(X2,X3) = apply(X0,X3) ) ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
<=> relation_dom_restriction(X2,X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f477,plain,
( spl18_9
| spl18_12 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| spl18_9
| spl18_12 ),
inference(subsumption_resolution,[],[f475,f471]) ).
fof(f471,plain,
( empty_set != sF17
| spl18_9 ),
inference(backward_demodulation,[],[f226,f470]) ).
fof(f470,plain,
( empty_set = sF16
| spl18_9 ),
inference(backward_demodulation,[],[f224,f469]) ).
fof(f469,plain,
( empty_set = apply(sF15,sK10)
| spl18_9 ),
inference(subsumption_resolution,[],[f468,f269]) ).
fof(f269,plain,
relation(sF15),
inference(subsumption_resolution,[],[f268,f181]) ).
fof(f268,plain,
( ~ relation(sK11)
| relation(sF15) ),
inference(superposition,[],[f206,f223]) ).
fof(f468,plain,
( ~ relation(sF15)
| empty_set = apply(sF15,sK10)
| spl18_9 ),
inference(subsumption_resolution,[],[f467,f314]) ).
fof(f314,plain,
function(sF15),
inference(subsumption_resolution,[],[f313,f181]) ).
fof(f313,plain,
( function(sF15)
| ~ relation(sK11) ),
inference(subsumption_resolution,[],[f312,f182]) ).
fof(f312,plain,
( ~ function(sK11)
| function(sF15)
| ~ relation(sK11) ),
inference(superposition,[],[f203,f223]) ).
fof(f467,plain,
( ~ function(sF15)
| empty_set = apply(sF15,sK10)
| ~ relation(sF15)
| spl18_9 ),
inference(resolution,[],[f431,f221]) ).
fof(f221,plain,
! [X2,X0] :
( in(X2,relation_dom(X0))
| ~ function(X0)
| empty_set = apply(X0,X2)
| ~ relation(X0) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| empty_set = X1
| apply(X0,X2) != X1
| in(X2,relation_dom(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1,X2] :
( ( ~ in(X2,relation_dom(X0))
| ( ( in(ordered_pair(X2,X1),X0)
| apply(X0,X2) != X1 )
& ( apply(X0,X2) = X1
| ~ in(ordered_pair(X2,X1),X0) ) ) )
& ( ( ( empty_set = X1
| apply(X0,X2) != X1 )
& ( apply(X0,X2) = X1
| empty_set != X1 ) )
| in(X2,relation_dom(X0)) ) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X2,X1] :
( ( ~ in(X1,relation_dom(X0))
| ( ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0) ) ) )
& ( ( ( empty_set = X2
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| empty_set != X2 ) )
| in(X1,relation_dom(X0)) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X2,X1] :
( ( ~ in(X1,relation_dom(X0))
| ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) )
& ( ( empty_set = X2
<=> apply(X0,X1) = X2 )
| in(X1,relation_dom(X0)) ) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X2,X1] :
( ( ~ in(X1,relation_dom(X0))
| ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) )
& ( ( empty_set = X2
<=> apply(X0,X1) = X2 )
| in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2,X1] :
( ( ~ in(X1,relation_dom(X0))
=> ( empty_set = X2
<=> apply(X0,X1) = X2 ) )
& ( in(X1,relation_dom(X0))
=> ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f475,plain,
( empty_set = sF17
| spl18_12 ),
inference(backward_demodulation,[],[f225,f474]) ).
fof(f474,plain,
( empty_set = apply(sK11,sK10)
| spl18_12 ),
inference(subsumption_resolution,[],[f473,f181]) ).
fof(f473,plain,
( ~ relation(sK11)
| empty_set = apply(sK11,sK10)
| spl18_12 ),
inference(subsumption_resolution,[],[f472,f182]) ).
fof(f472,plain,
( ~ function(sK11)
| ~ relation(sK11)
| empty_set = apply(sK11,sK10)
| spl18_12 ),
inference(resolution,[],[f449,f221]) ).
fof(f449,plain,
( ~ in(sK10,relation_dom(sK11))
| spl18_12 ),
inference(avatar_component_clause,[],[f447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU225+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:54:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (31727)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.51 % (31711)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)
% 0.20/0.51 TRYING [4]
% 0.20/0.51 % (31721)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (31713)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (31727)Instruction limit reached!
% 0.20/0.52 % (31727)------------------------------
% 0.20/0.52 % (31727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31727)Termination reason: Unknown
% 0.20/0.52 % (31727)Termination phase: Finite model building SAT solving
% 0.20/0.52
% 0.20/0.52 % (31727)Memory used [KB]: 7931
% 0.20/0.52 % (31727)Time elapsed: 0.111 s
% 0.20/0.52 % (31727)Instructions burned: 60 (million)
% 0.20/0.52 % (31727)------------------------------
% 0.20/0.52 % (31727)------------------------------
% 0.20/0.52 % (31730)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)
% 0.20/0.52 % (31710)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)
% 0.20/0.52 % (31715)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)
% 0.20/0.53 % (31731)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (31735)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (31733)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)
% 0.20/0.53 % (31724)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (31736)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)
% 0.20/0.53 % (31712)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)
% 0.20/0.53 % (31734)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (31709)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)
% 0.20/0.54 % (31738)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (31726)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)
% 0.20/0.54 % (31729)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (31728)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (31716)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (31737)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)
% 0.20/0.55 % (31720)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)
% 0.20/0.55 % (31716)Instruction limit reached!
% 0.20/0.55 % (31716)------------------------------
% 0.20/0.55 % (31716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (31716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (31716)Termination reason: Unknown
% 0.20/0.55 % (31716)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (31716)Memory used [KB]: 5500
% 0.20/0.55 % (31716)Time elapsed: 0.099 s
% 0.20/0.55 % (31716)Instructions burned: 7 (million)
% 0.20/0.55 % (31716)------------------------------
% 0.20/0.55 % (31716)------------------------------
% 0.20/0.55 % (31710)Refutation not found, incomplete strategy% (31710)------------------------------
% 0.20/0.55 % (31710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (31710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (31710)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (31710)Memory used [KB]: 5628
% 0.20/0.55 % (31710)Time elapsed: 0.112 s
% 0.20/0.55 % (31710)Instructions burned: 9 (million)
% 0.20/0.55 % (31710)------------------------------
% 0.20/0.55 % (31710)------------------------------
% 0.20/0.55 % (31718)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)
% 0.20/0.55 % (31719)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (31722)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (31717)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (31717)Instruction limit reached!
% 0.20/0.55 % (31717)------------------------------
% 0.20/0.55 % (31717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (31717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (31717)Termination reason: Unknown
% 0.20/0.55 % (31717)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (31717)Memory used [KB]: 895
% 0.20/0.55 % (31717)Time elapsed: 0.002 s
% 0.20/0.55 % (31717)Instructions burned: 3 (million)
% 0.20/0.55 % (31717)------------------------------
% 0.20/0.55 % (31717)------------------------------
% 0.20/0.56 % (31723)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)
% 0.20/0.56 % (31830)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)
% 0.20/0.56 % (31714)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)
% 0.20/0.57 % (31739)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)
% 0.20/0.57 % (31732)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)
% 0.20/0.57 TRYING [3]
% 0.20/0.58 % (31728)First to succeed.
% 0.20/0.58 TRYING [4]
% 0.20/0.58 % (31715)Instruction limit reached!
% 0.20/0.58 % (31715)------------------------------
% 0.20/0.58 % (31715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (31715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (31715)Termination reason: Unknown
% 0.20/0.58 % (31715)Termination phase: Finite model building constraint generation
% 0.20/0.58
% 0.20/0.58 % (31715)Memory used [KB]: 7419
% 0.20/0.58 % (31715)Time elapsed: 0.174 s
% 0.20/0.58 % (31715)Instructions burned: 51 (million)
% 0.20/0.58 % (31715)------------------------------
% 0.20/0.58 % (31715)------------------------------
% 0.20/0.59 % (31711)Instruction limit reached!
% 0.20/0.59 % (31711)------------------------------
% 0.20/0.59 % (31711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (31711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (31711)Termination reason: Unknown
% 0.20/0.59 % (31711)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (31711)Memory used [KB]: 1407
% 0.20/0.59 % (31711)Time elapsed: 0.190 s
% 0.20/0.59 % (31711)Instructions burned: 37 (million)
% 0.20/0.59 % (31711)------------------------------
% 0.20/0.59 % (31711)------------------------------
% 0.20/0.59 % (31728)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (31728)------------------------------
% 0.20/0.59 % (31728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (31728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (31728)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (31728)Memory used [KB]: 5884
% 0.20/0.59 % (31728)Time elapsed: 0.177 s
% 0.20/0.59 % (31728)Instructions burned: 21 (million)
% 0.20/0.59 % (31728)------------------------------
% 0.20/0.59 % (31728)------------------------------
% 0.20/0.59 % (31707)Success in time 0.235 s
%------------------------------------------------------------------------------