TSTP Solution File: COM017+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 May 1 02:13:13 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 970 ( 29 equ)
% Maximal formula atoms : 30 ( 16 avg)
% Number of connectives : 619 ( 200 ~; 215 |; 191 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 493 ( 493 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 12 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 116 ( 81 !; 34 ?; 30 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_18,type,
sQ24_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f478,plain,
$false,
inference(avatar_sat_refutation,[],[f350,f465,f472,f477]) ).
tff(f477,plain,
~ spl25_26,
inference(avatar_contradiction_clause,[],[f476]) ).
tff(f476,plain,
( $false
| ~ spl25_26 ),
inference(subsumption_resolution,[],[f475,f125]) ).
tff(f125,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.6DYLCjgnpJ/Vampire---4.8_25750',m__731) ).
tff(f475,plain,
( ~ aElement0(xa)
| ~ spl25_26 ),
inference(subsumption_resolution,[],[f474,f159]) ).
tff(f159,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f85]) ).
tff(f85,plain,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(sK15,xR,xb)
& aReductOfIn0(sK15,xu,xR)
& aElement0(sK15) )
| aReductOfIn0(xb,xu,xR) ) )
| ( xb = xu ) )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f20,f84]) ).
tff(f84,plain,
( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xu,xR)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(sK15,xR,xb)
& aReductOfIn0(sK15,xu,xR)
& aElement0(sK15) ) ),
introduced(choice_axiom,[]) ).
tff(f20,axiom,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xu,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xu,xR) ) )
| ( xb = xu ) )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox/tmp/tmp.6DYLCjgnpJ/Vampire---4.8_25750',m__755) ).
tff(f474,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xa)
| ~ spl25_26 ),
inference(resolution,[],[f464,f166]) ).
tff(f166,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(sK16,xR,xc)
& aReductOfIn0(sK16,xv,xR)
& aElement0(sK16) )
| aReductOfIn0(xc,xv,xR) ) )
| ( xc = xv ) )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f21,f86]) ).
tff(f86,plain,
( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xv,xR)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(sK16,xR,xc)
& aReductOfIn0(sK16,xv,xR)
& aElement0(sK16) ) ),
introduced(choice_axiom,[]) ).
tff(f21,axiom,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xv,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xv,xR) ) )
| ( xc = xv ) )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
file('/export/starexec/sandbox/tmp/tmp.6DYLCjgnpJ/Vampire---4.8_25750',m__779) ).
tff(f464,plain,
( ! [X1: $i] :
( ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(X1) )
| ~ spl25_26 ),
inference(avatar_component_clause,[],[f463]) ).
tff(f463,plain,
( spl25_26
<=> ! [X1] :
( ~ aReductOfIn0(xu,X1,xR)
| ~ aReductOfIn0(xv,X1,xR)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_26])]) ).
tff(f472,plain,
( spl25_26
| ~ spl25_21
| spl25_25 ),
inference(avatar_split_clause,[],[f471,f459,f340,f463]) ).
tff(f340,plain,
( spl25_21
<=> aElement0(xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).
tff(f459,plain,
( spl25_25
<=> aElement0(sK8(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_25])]) ).
tff(f471,plain,
( ! [X0: $i] :
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(xu,X0,xR)
| ~ aElement0(X0) )
| ~ spl25_21
| spl25_25 ),
inference(subsumption_resolution,[],[f470,f158]) ).
tff(f158,plain,
aElement0(xu),
inference(cnf_transformation,[],[f85]) ).
tff(f470,plain,
( ! [X0: $i] :
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(xu,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(X0) )
| ~ spl25_21
| spl25_25 ),
inference(subsumption_resolution,[],[f468,f341]) ).
tff(f341,plain,
( aElement0(xv)
| ~ spl25_21 ),
inference(avatar_component_clause,[],[f340]) ).
tff(f468,plain,
( ! [X0: $i] :
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(xu,X0,xR)
| ~ aElement0(xv)
| ~ aElement0(xu)
| ~ aElement0(X0) )
| spl25_25 ),
inference(resolution,[],[f461,f112]) ).
tff(f112,plain,
! [X3: $i,X4: $i,X5: $i] :
( aElement0(sK8(X4,X5))
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f69]) ).
tff(f69,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ( sdtmndtasgtdt0(X5,xR,sK8(X4,X5))
& ( ( sdtmndtplgtdt0(X5,xR,sK8(X4,X5))
& ( ( sdtmndtplgtdt0(sK9(X4,X5),xR,sK8(X4,X5))
& aReductOfIn0(sK9(X4,X5),X5,xR)
& aElement0(sK9(X4,X5)) )
| aReductOfIn0(sK8(X4,X5),X5,xR) ) )
| ( sK8(X4,X5) = X5 ) )
& sdtmndtasgtdt0(X4,xR,sK8(X4,X5))
& sP0(sK8(X4,X5),X4)
& aElement0(sK8(X4,X5)) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f53,f68,f67]) ).
tff(f67,plain,
! [X4,X5] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| ( X5 = X6 ) )
& sdtmndtasgtdt0(X4,xR,X6)
& sP0(X6,X4)
& aElement0(X6) )
=> ( sdtmndtasgtdt0(X5,xR,sK8(X4,X5))
& ( ( sdtmndtplgtdt0(X5,xR,sK8(X4,X5))
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,sK8(X4,X5))
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(sK8(X4,X5),X5,xR) ) )
| ( sK8(X4,X5) = X5 ) )
& sdtmndtasgtdt0(X4,xR,sK8(X4,X5))
& sP0(sK8(X4,X5),X4)
& aElement0(sK8(X4,X5)) ) ),
introduced(choice_axiom,[]) ).
tff(f68,plain,
! [X4,X5] :
( ? [X7] :
( sdtmndtplgtdt0(X7,xR,sK8(X4,X5))
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
=> ( sdtmndtplgtdt0(sK9(X4,X5),xR,sK8(X4,X5))
& aReductOfIn0(sK9(X4,X5),X5,xR)
& aElement0(sK9(X4,X5)) ) ),
introduced(choice_axiom,[]) ).
tff(f53,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| ( X5 = X6 ) )
& sdtmndtasgtdt0(X4,xR,X6)
& sP0(X6,X4)
& aElement0(X6) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(definition_folding,[],[f34,f52]) ).
tff(f52,plain,
! [X6,X4] :
( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| ( X4 = X6 )
| ~ sP0(X6,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f34,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| ( X5 = X6 ) )
& sdtmndtasgtdt0(X4,xR,X6)
& ( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| ( X4 = X6 ) )
& aElement0(X6) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(flattening,[],[f33]) ).
tff(f33,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| ( X5 = X6 ) )
& sdtmndtasgtdt0(X4,xR,X6)
& ( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| ( X4 = X6 ) )
& aElement0(X6) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(ennf_transformation,[],[f24]) ).
tff(f24,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR) )
=> iLess0(X1,X0) ) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ( aReductOfIn0(X5,X3,xR)
& aReductOfIn0(X4,X3,xR)
& aElement0(X5)
& aElement0(X4)
& aElement0(X3) )
=> ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| ( X5 = X6 ) )
& sdtmndtasgtdt0(X4,xR,X6)
& ( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| ( X4 = X6 ) )
& aElement0(X6) ) ) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
( isTerminating0(xR)
& ! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR) )
=> iLess0(X1,X0) ) )
& isLocallyConfluent0(xR)
& ! [X0,X1,X2] :
( ( aReductOfIn0(X2,X0,xR)
& aReductOfIn0(X1,X0,xR)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& ( ( sdtmndtplgtdt0(X2,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR) ) )
| ( X2 = X3 ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( ( sdtmndtplgtdt0(X1,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X1,xR) ) )
| ( X1 = X3 ) )
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6DYLCjgnpJ/Vampire---4.8_25750',m__656_01) ).
tff(f461,plain,
( ~ aElement0(sK8(xu,xv))
| spl25_25 ),
inference(avatar_component_clause,[],[f459]) ).
tff(f465,plain,
( ~ spl25_25
| spl25_26
| spl25_26
| ~ spl25_21 ),
inference(avatar_split_clause,[],[f457,f340,f463,f463,f459]) ).
tff(f457,plain,
( ! [X0: $i,X1: $i] :
( ~ aReductOfIn0(xu,X0,xR)
| ~ aElement0(X0)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(xv,X1,xR)
| ~ aElement0(sK8(xu,xv)) )
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f456,f158]) ).
tff(f456,plain,
( ! [X0: $i,X1: $i] :
( ~ aReductOfIn0(xu,X0,xR)
| ~ aElement0(X0)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(xu)
| ~ aElement0(X1)
| ~ aReductOfIn0(xv,X1,xR)
| ~ aElement0(sK8(xu,xv)) )
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f455,f341]) ).
tff(f455,plain,
( ! [X0: $i,X1: $i] :
( ~ aReductOfIn0(xu,X0,xR)
| ~ aElement0(xv)
| ~ aElement0(X0)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(xu)
| ~ aElement0(X1)
| ~ aReductOfIn0(xv,X1,xR)
| ~ aElement0(sK8(xu,xv)) )
| ~ spl25_21 ),
inference(resolution,[],[f445,f449]) ).
tff(f449,plain,
( ! [X0: $i,X1: $i] :
( sP4(sK8(X1,xv))
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(sK8(X1,xv)) )
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f446,f341]) ).
tff(f446,plain,
! [X0: $i,X1: $i] :
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(xv)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP4(sK8(X1,xv))
| ~ aElement0(sK8(X1,xv)) ),
inference(resolution,[],[f119,f181]) ).
tff(f181,plain,
! [X0: $i] :
( ~ sdtmndtasgtdt0(xv,xR,X0)
| sP4(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xv,xR,X0)
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xv,xR)
& ( xv != X0 ) )
| sP4(X0)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f37,f58]) ).
tff(f58,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xu,xR,X0)
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,xu,xR)
& ( xu != X0 ) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
tff(f37,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xv,xR,X0)
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xv,xR)
& ( xv != X0 ) )
| ( ~ sdtmndtasgtdt0(xu,xR,X0)
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,xu,xR)
& ( xu != X0 ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f27]) ).
tff(f27,plain,
~ ? [X0] :
( ( sdtmndtasgtdt0(xv,xR,X0)
| sdtmndtplgtdt0(xv,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xv,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xv,xR)
| ( xv = X0 ) )
& ( sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtplgtdt0(xu,xR,X0)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X0)
& aReductOfIn0(X2,xu,xR)
& aElement0(X2) )
| aReductOfIn0(X0,xu,xR)
| ( xu = X0 ) )
& aElement0(X0) ),
inference(rectify,[],[f23]) ).
tff(f23,negated_conjecture,
~ ? [X0] :
( ( sdtmndtasgtdt0(xv,xR,X0)
| sdtmndtplgtdt0(xv,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xv,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xv,xR)
| ( xv = X0 ) )
& ( sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtplgtdt0(xu,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xu,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xu,xR)
| ( xu = X0 ) )
& aElement0(X0) ),
inference(negated_conjecture,[],[f22]) ).
tff(f22,conjecture,
? [X0] :
( ( sdtmndtasgtdt0(xv,xR,X0)
| sdtmndtplgtdt0(xv,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xv,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xv,xR)
| ( xv = X0 ) )
& ( sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtplgtdt0(xu,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xu,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xu,xR)
| ( xu = X0 ) )
& aElement0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.6DYLCjgnpJ/Vampire---4.8_25750',m__) ).
tff(f119,plain,
! [X3: $i,X4: $i,X5: $i] :
( sdtmndtasgtdt0(X5,xR,sK8(X4,X5))
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f69]) ).
tff(f445,plain,
! [X0: $i,X1: $i] :
( ~ sP4(sK8(xu,X0))
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X0,X1,xR) ),
inference(subsumption_resolution,[],[f442,f158]) ).
tff(f442,plain,
! [X0: $i,X1: $i] :
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(X0)
| ~ aElement0(xu)
| ~ aElement0(X1)
| ~ sP4(sK8(xu,X0)) ),
inference(resolution,[],[f114,f176]) ).
tff(f176,plain,
! [X0: $i] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f89]) ).
tff(f89,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xu,xR,X0)
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xu,xR)
& ( xu != X0 ) )
| ~ sP4(X0) ),
inference(rectify,[],[f88]) ).
tff(f88,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xu,xR,X0)
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,xu,xR)
& ( xu != X0 ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f58]) ).
tff(f114,plain,
! [X3: $i,X4: $i,X5: $i] :
( sdtmndtasgtdt0(X4,xR,sK8(X4,X5))
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f69]) ).
tff(f350,plain,
spl25_21,
inference(avatar_split_clause,[],[f165,f340]) ).
tff(f165,plain,
aElement0(xv),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 18:57:10 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.6DYLCjgnpJ/Vampire---4.8_25750
% 0.62/0.80 % (25864)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (25863)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (25865)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (25861)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (25866)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80 % (25862)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.80 % (25867)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.80 % (25868)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.81 % (25861)First to succeed.
% 0.62/0.81 % (25861)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for Vampire---4
% 0.62/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81 % (25861)------------------------------
% 0.62/0.81 % (25861)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (25861)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (25861)Memory used [KB]: 1211
% 0.62/0.81 % (25861)Time elapsed: 0.012 s
% 0.62/0.81 % (25861)Instructions burned: 19 (million)
% 0.62/0.81 % (25861)------------------------------
% 0.62/0.81 % (25861)------------------------------
% 0.62/0.81 % (25859)Success in time 0.495 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------