TSTP Solution File: SWC379+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC379+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n008.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 18:43:29 EDT 2022
% Result : Theorem 1.39s 0.54s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 10 unt; 0 def)
% Number of atoms : 658 ( 122 equ)
% Maximal formula atoms : 64 ( 10 avg)
% Number of connectives : 892 ( 299 ~; 298 |; 267 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 144 ( 69 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f692,plain,
$false,
inference(subsumption_resolution,[],[f691,f676]) ).
fof(f676,plain,
sK58 != sK57(sK58),
inference(subsumption_resolution,[],[f675,f553]) ).
fof(f553,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
( ssList(sK55)
& ! [X4] :
( ( ( ~ memberP(sK56,X4)
| ( leq(sK57(X4),X4)
& sK57(X4) != X4
& ssItem(sK57(X4))
& memberP(sK56,sK57(X4)) )
| memberP(sK55,X4) )
& ( ~ memberP(sK55,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(sK56,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(sK56,X4) ) ) )
| ~ ssItem(X4) )
& ( ~ memberP(sK54,sK58)
| ( leq(sK59,sK58)
& memberP(sK54,sK59)
& sK59 != sK58
& ssItem(sK59) )
| ~ memberP(sK53,sK58) )
& ( memberP(sK53,sK58)
| ( ! [X9] :
( sK58 = X9
| ~ leq(X9,sK58)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,sK58) ) )
& ssItem(sK58)
& ssList(sK56)
& sK53 = sK55
& sK54 = sK56
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59])],[f342,f349,f348,f347,f346,f345,f344,f343]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(X1,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(X1,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X0,X7) )
& ( memberP(X0,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(X1,X9)
| ~ ssItem(X9) )
& memberP(X1,X7) ) )
& ssItem(X7) )
& ssList(X3)
& X0 = X2
& X1 = X3 ) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(X1,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(X1,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(X1,X9)
| ~ ssItem(X9) )
& memberP(X1,X7) ) )
& ssItem(X7) )
& ssList(X3)
& sK53 = X2
& X1 = X3 ) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(X1,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(X1,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(X1,X9)
| ~ ssItem(X9) )
& memberP(X1,X7) ) )
& ssItem(X7) )
& ssList(X3)
& sK53 = X2
& X1 = X3 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(sK54,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(sK54,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,X7) ) )
& ssItem(X7) )
& ssList(X3)
& sK53 = X2
& sK54 = X3 ) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(sK54,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(sK54,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,X7) ) )
& ssItem(X7) )
& ssList(X3)
& sK53 = X2
& sK54 = X3 ) )
=> ( ssList(sK55)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(sK55,X4) )
& ( ~ memberP(sK55,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(sK54,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(sK54,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,X7) ) )
& ssItem(X7) )
& ssList(X3)
& sK53 = sK55
& sK54 = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(sK55,X4) )
& ( ~ memberP(sK55,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(sK54,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(sK54,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,X7) ) )
& ssItem(X7) )
& ssList(X3)
& sK53 = sK55
& sK54 = X3 )
=> ( ! [X4] :
( ( ( ~ memberP(sK56,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(sK56,X5) )
| memberP(sK55,X4) )
& ( ~ memberP(sK55,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(sK56,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(sK56,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(sK54,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(sK54,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,X7) ) )
& ssItem(X7) )
& ssList(sK56)
& sK53 = sK55
& sK54 = sK56 ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X4] :
( ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(sK56,X5) )
=> ( leq(sK57(X4),X4)
& sK57(X4) != X4
& ssItem(sK57(X4))
& memberP(sK56,sK57(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X7] :
( ( ~ memberP(sK54,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(sK54,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(sK53,X7) )
& ( memberP(sK53,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,X7) ) )
& ssItem(X7) )
=> ( ( ~ memberP(sK54,sK58)
| ? [X8] :
( leq(X8,sK58)
& memberP(sK54,X8)
& sK58 != X8
& ssItem(X8) )
| ~ memberP(sK53,sK58) )
& ( memberP(sK53,sK58)
| ( ! [X9] :
( sK58 = X9
| ~ leq(X9,sK58)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) )
& memberP(sK54,sK58) ) )
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X8] :
( leq(X8,sK58)
& memberP(sK54,X8)
& sK58 != X8
& ssItem(X8) )
=> ( leq(sK59,sK58)
& memberP(sK54,sK59)
& sK59 != sK58
& ssItem(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ( ( ~ memberP(X3,X4)
| ? [X5] :
( leq(X5,X4)
& X4 != X5
& ssItem(X5)
& memberP(X3,X5) )
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| ( ! [X6] :
( X4 = X6
| ~ memberP(X3,X6)
| ~ ssItem(X6)
| ~ leq(X6,X4) )
& memberP(X3,X4) ) ) )
| ~ ssItem(X4) )
& ? [X7] :
( ( ~ memberP(X1,X7)
| ? [X8] :
( leq(X8,X7)
& memberP(X1,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X0,X7) )
& ( memberP(X0,X7)
| ( ! [X9] :
( X7 = X9
| ~ leq(X9,X7)
| ~ memberP(X1,X9)
| ~ ssItem(X9) )
& memberP(X1,X7) ) )
& ssItem(X7) )
& ssList(X3)
& X0 = X2
& X1 = X3 ) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X7] :
( ( ( ~ memberP(X3,X7)
| ? [X8] :
( leq(X8,X7)
& X7 != X8
& ssItem(X8)
& memberP(X3,X8) )
| memberP(X2,X7) )
& ( ~ memberP(X2,X7)
| ( ! [X9] :
( X7 = X9
| ~ memberP(X3,X9)
| ~ ssItem(X9)
| ~ leq(X9,X7) )
& memberP(X3,X7) ) ) )
| ~ ssItem(X7) )
& ? [X4] :
( ( ~ memberP(X1,X4)
| ? [X6] :
( leq(X6,X4)
& memberP(X1,X6)
& X4 != X6
& ssItem(X6) )
| ~ memberP(X0,X4) )
& ( memberP(X0,X4)
| ( ! [X5] :
( X4 = X5
| ~ leq(X5,X4)
| ~ memberP(X1,X5)
| ~ ssItem(X5) )
& memberP(X1,X4) ) )
& ssItem(X4) )
& ssList(X3)
& X0 = X2
& X1 = X3 ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ! [X7] :
( ~ ssItem(X7)
| ( ( memberP(X2,X7)
| ? [X8] :
( X7 != X8
& leq(X8,X7)
& memberP(X3,X8)
& ssItem(X8) )
| ~ memberP(X3,X7) )
& ( ~ memberP(X2,X7)
| ( ! [X9] :
( X7 = X9
| ~ memberP(X3,X9)
| ~ ssItem(X9)
| ~ leq(X9,X7) )
& memberP(X3,X7) ) ) ) )
& ? [X4] :
( ( ~ memberP(X0,X4)
| ? [X6] :
( X4 != X6
& memberP(X1,X6)
& leq(X6,X4)
& ssItem(X6) )
| ~ memberP(X1,X4) )
& ( memberP(X0,X4)
| ( ! [X5] :
( X4 = X5
| ~ leq(X5,X4)
| ~ memberP(X1,X5)
| ~ ssItem(X5) )
& memberP(X1,X4) ) )
& ssItem(X4) )
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ? [X7] :
( ssItem(X7)
& ( ( ~ memberP(X2,X7)
& ! [X8] :
( ssItem(X8)
=> ( X7 = X8
| ~ leq(X8,X7)
| ~ memberP(X3,X8) ) )
& memberP(X3,X7) )
| ( memberP(X2,X7)
& ( ? [X9] :
( memberP(X3,X9)
& X7 != X9
& leq(X9,X7)
& ssItem(X9) )
| ~ memberP(X3,X7) ) ) ) )
| ! [X4] :
( ssItem(X4)
=> ( ( memberP(X0,X4)
& ! [X6] :
( ssItem(X6)
=> ( X4 = X6
| ~ memberP(X1,X6)
| ~ leq(X6,X4) ) )
& memberP(X1,X4) )
| ( ~ memberP(X0,X4)
& ( ~ memberP(X1,X4)
| ? [X5] :
( leq(X5,X4)
& ssItem(X5)
& X4 != X5
& memberP(X1,X5) ) ) ) ) )
| X0 != X2 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X6] :
( ssItem(X6)
=> ( ( ~ memberP(X0,X6)
& ( ~ memberP(X1,X6)
| ? [X7] :
( leq(X7,X6)
& X6 != X7
& ssItem(X7)
& memberP(X1,X7) ) ) )
| ( memberP(X0,X6)
& ! [X7] :
( ssItem(X7)
=> ( X6 = X7
| ~ leq(X7,X6)
| ~ memberP(X1,X7) ) )
& memberP(X1,X6) ) ) )
| X0 != X2
| ? [X4] :
( ( ( ~ memberP(X2,X4)
& memberP(X3,X4)
& ! [X5] :
( ssItem(X5)
=> ( X4 = X5
| ~ leq(X5,X4)
| ~ memberP(X3,X5) ) ) )
| ( ( ~ memberP(X3,X4)
| ? [X5] :
( memberP(X3,X5)
& X4 != X5
& leq(X5,X4)
& ssItem(X5) ) )
& memberP(X2,X4) ) )
& ssItem(X4) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X6] :
( ssItem(X6)
=> ( ( ~ memberP(X0,X6)
& ( ~ memberP(X1,X6)
| ? [X7] :
( leq(X7,X6)
& X6 != X7
& ssItem(X7)
& memberP(X1,X7) ) ) )
| ( memberP(X0,X6)
& ! [X7] :
( ssItem(X7)
=> ( X6 = X7
| ~ leq(X7,X6)
| ~ memberP(X1,X7) ) )
& memberP(X1,X6) ) ) )
| X0 != X2
| ? [X4] :
( ( ( ~ memberP(X2,X4)
& memberP(X3,X4)
& ! [X5] :
( ssItem(X5)
=> ( X4 = X5
| ~ leq(X5,X4)
| ~ memberP(X3,X5) ) ) )
| ( ( ~ memberP(X3,X4)
| ? [X5] :
( memberP(X3,X5)
& X4 != X5
& leq(X5,X4)
& ssItem(X5) ) )
& memberP(X2,X4) ) )
& ssItem(X4) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f675,plain,
( sK58 != sK57(sK58)
| ~ ssItem(sK58) ),
inference(subsumption_resolution,[],[f670,f615]) ).
fof(f615,plain,
memberP(sK56,sK58),
inference(subsumption_resolution,[],[f614,f553]) ).
fof(f614,plain,
( memberP(sK56,sK58)
| ~ ssItem(sK58) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f613,plain,
( memberP(sK56,sK58)
| memberP(sK56,sK58)
| ~ ssItem(sK58) ),
inference(resolution,[],[f560,f576]) ).
fof(f576,plain,
( memberP(sK55,sK58)
| memberP(sK56,sK58) ),
inference(definition_unfolding,[],[f554,f551,f550]) ).
fof(f550,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f350]) ).
fof(f551,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f350]) ).
fof(f554,plain,
( memberP(sK53,sK58)
| memberP(sK54,sK58) ),
inference(cnf_transformation,[],[f350]) ).
fof(f560,plain,
! [X4] :
( ~ memberP(sK55,X4)
| ~ ssItem(X4)
| memberP(sK56,X4) ),
inference(cnf_transformation,[],[f350]) ).
fof(f670,plain,
( sK58 != sK57(sK58)
| ~ memberP(sK56,sK58)
| ~ ssItem(sK58) ),
inference(resolution,[],[f668,f564]) ).
fof(f564,plain,
! [X4] :
( memberP(sK55,X4)
| sK57(X4) != X4
| ~ ssItem(X4)
| ~ memberP(sK56,X4) ),
inference(cnf_transformation,[],[f350]) ).
fof(f668,plain,
~ memberP(sK55,sK58),
inference(subsumption_resolution,[],[f667,f621]) ).
fof(f621,plain,
( ~ memberP(sK55,sK58)
| sK59 != sK58 ),
inference(subsumption_resolution,[],[f573,f615]) ).
fof(f573,plain,
( sK59 != sK58
| ~ memberP(sK55,sK58)
| ~ memberP(sK56,sK58) ),
inference(definition_unfolding,[],[f557,f550,f551]) ).
fof(f557,plain,
( ~ memberP(sK54,sK58)
| sK59 != sK58
| ~ memberP(sK53,sK58) ),
inference(cnf_transformation,[],[f350]) ).
fof(f667,plain,
( ~ memberP(sK55,sK58)
| sK59 = sK58 ),
inference(subsumption_resolution,[],[f666,f619]) ).
fof(f619,plain,
( ~ memberP(sK55,sK58)
| memberP(sK56,sK59) ),
inference(subsumption_resolution,[],[f572,f615]) ).
fof(f572,plain,
( ~ memberP(sK56,sK58)
| ~ memberP(sK55,sK58)
| memberP(sK56,sK59) ),
inference(definition_unfolding,[],[f558,f550,f550,f551]) ).
fof(f558,plain,
( ~ memberP(sK54,sK58)
| memberP(sK54,sK59)
| ~ memberP(sK53,sK58) ),
inference(cnf_transformation,[],[f350]) ).
fof(f666,plain,
( ~ memberP(sK55,sK58)
| ~ memberP(sK56,sK59)
| sK59 = sK58 ),
inference(subsumption_resolution,[],[f665,f616]) ).
fof(f616,plain,
( ~ memberP(sK55,sK58)
| ssItem(sK59) ),
inference(subsumption_resolution,[],[f574,f615]) ).
fof(f574,plain,
( ~ memberP(sK56,sK58)
| ~ memberP(sK55,sK58)
| ssItem(sK59) ),
inference(definition_unfolding,[],[f556,f550,f551]) ).
fof(f556,plain,
( ~ memberP(sK54,sK58)
| ssItem(sK59)
| ~ memberP(sK53,sK58) ),
inference(cnf_transformation,[],[f350]) ).
fof(f665,plain,
( ~ ssItem(sK59)
| ~ memberP(sK55,sK58)
| ~ memberP(sK56,sK59)
| sK59 = sK58 ),
inference(subsumption_resolution,[],[f663,f553]) ).
fof(f663,plain,
( sK59 = sK58
| ~ ssItem(sK59)
| ~ memberP(sK56,sK59)
| ~ memberP(sK55,sK58)
| ~ ssItem(sK58) ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f661,plain,
( ~ ssItem(sK59)
| ~ memberP(sK56,sK59)
| ~ memberP(sK55,sK58)
| sK59 = sK58
| ~ memberP(sK55,sK58)
| ~ ssItem(sK58) ),
inference(resolution,[],[f561,f618]) ).
fof(f618,plain,
( leq(sK59,sK58)
| ~ memberP(sK55,sK58) ),
inference(subsumption_resolution,[],[f571,f615]) ).
fof(f571,plain,
( ~ memberP(sK55,sK58)
| leq(sK59,sK58)
| ~ memberP(sK56,sK58) ),
inference(definition_unfolding,[],[f559,f550,f551]) ).
fof(f559,plain,
( ~ memberP(sK54,sK58)
| leq(sK59,sK58)
| ~ memberP(sK53,sK58) ),
inference(cnf_transformation,[],[f350]) ).
fof(f561,plain,
! [X6,X4] :
( ~ leq(X6,X4)
| ~ ssItem(X6)
| ~ memberP(sK56,X6)
| ~ ssItem(X4)
| ~ memberP(sK55,X4)
| X4 = X6 ),
inference(cnf_transformation,[],[f350]) ).
fof(f691,plain,
sK58 = sK57(sK58),
inference(subsumption_resolution,[],[f690,f668]) ).
fof(f690,plain,
( memberP(sK55,sK58)
| sK58 = sK57(sK58) ),
inference(subsumption_resolution,[],[f689,f678]) ).
fof(f678,plain,
ssItem(sK57(sK58)),
inference(subsumption_resolution,[],[f677,f553]) ).
fof(f677,plain,
( ssItem(sK57(sK58))
| ~ ssItem(sK58) ),
inference(subsumption_resolution,[],[f672,f615]) ).
fof(f672,plain,
( ~ memberP(sK56,sK58)
| ssItem(sK57(sK58))
| ~ ssItem(sK58) ),
inference(resolution,[],[f668,f563]) ).
fof(f563,plain,
! [X4] :
( memberP(sK55,X4)
| ~ ssItem(X4)
| ssItem(sK57(X4))
| ~ memberP(sK56,X4) ),
inference(cnf_transformation,[],[f350]) ).
fof(f689,plain,
( ~ ssItem(sK57(sK58))
| sK58 = sK57(sK58)
| memberP(sK55,sK58) ),
inference(subsumption_resolution,[],[f660,f674]) ).
fof(f674,plain,
memberP(sK56,sK57(sK58)),
inference(subsumption_resolution,[],[f673,f615]) ).
fof(f673,plain,
( memberP(sK56,sK57(sK58))
| ~ memberP(sK56,sK58) ),
inference(subsumption_resolution,[],[f671,f553]) ).
fof(f671,plain,
( ~ ssItem(sK58)
| memberP(sK56,sK57(sK58))
| ~ memberP(sK56,sK58) ),
inference(resolution,[],[f668,f562]) ).
fof(f562,plain,
! [X4] :
( memberP(sK55,X4)
| ~ ssItem(X4)
| memberP(sK56,sK57(X4))
| ~ memberP(sK56,X4) ),
inference(cnf_transformation,[],[f350]) ).
fof(f660,plain,
( ~ memberP(sK56,sK57(sK58))
| memberP(sK55,sK58)
| ~ ssItem(sK57(sK58))
| sK58 = sK57(sK58) ),
inference(subsumption_resolution,[],[f659,f553]) ).
fof(f659,plain,
( ~ ssItem(sK58)
| ~ ssItem(sK57(sK58))
| memberP(sK55,sK58)
| ~ memberP(sK56,sK57(sK58))
| sK58 = sK57(sK58) ),
inference(subsumption_resolution,[],[f658,f615]) ).
fof(f658,plain,
( sK58 = sK57(sK58)
| ~ memberP(sK56,sK58)
| ~ memberP(sK56,sK57(sK58))
| ~ ssItem(sK57(sK58))
| ~ ssItem(sK58)
| memberP(sK55,sK58) ),
inference(duplicate_literal_removal,[],[f657]) ).
fof(f657,plain,
( memberP(sK55,sK58)
| ~ ssItem(sK57(sK58))
| ~ memberP(sK56,sK58)
| ~ memberP(sK56,sK57(sK58))
| memberP(sK55,sK58)
| sK58 = sK57(sK58)
| ~ ssItem(sK58) ),
inference(resolution,[],[f575,f565]) ).
fof(f565,plain,
! [X4] :
( leq(sK57(X4),X4)
| ~ ssItem(X4)
| ~ memberP(sK56,X4)
| memberP(sK55,X4) ),
inference(cnf_transformation,[],[f350]) ).
fof(f575,plain,
! [X9] :
( ~ leq(X9,sK58)
| ~ ssItem(X9)
| sK58 = X9
| ~ memberP(sK56,X9)
| memberP(sK55,sK58) ),
inference(definition_unfolding,[],[f555,f551,f550]) ).
fof(f555,plain,
! [X9] :
( memberP(sK53,sK58)
| sK58 = X9
| ~ leq(X9,sK58)
| ~ memberP(sK54,X9)
| ~ ssItem(X9) ),
inference(cnf_transformation,[],[f350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC379+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % 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 : n008.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 18:55:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (11462)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.47 % (11457)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)
% 0.20/0.47 % (11462)Instruction limit reached!
% 0.20/0.47 % (11462)------------------------------
% 0.20/0.47 % (11462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (11462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (11462)Termination reason: Unknown
% 0.20/0.47 % (11462)Termination phase: Preprocessing 1
% 0.20/0.47
% 0.20/0.47 % (11462)Memory used [KB]: 1023
% 0.20/0.47 % (11462)Time elapsed: 0.004 s
% 0.20/0.47 % (11462)Instructions burned: 2 (million)
% 0.20/0.47 % (11462)------------------------------
% 0.20/0.47 % (11462)------------------------------
% 0.20/0.47 % (11456)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)
% 0.20/0.48 % (11475)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.49 % (11479)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.49 % (11471)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49 % (11467)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (11483)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)
% 0.20/0.49 % (11459)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)
% 0.20/0.50 % (11463)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)
% 0.20/0.50 % (11477)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)
% 0.20/0.50 % (11464)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (11458)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (11466)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (11469)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)
% 1.24/0.51 % (11476)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)
% 1.24/0.51 % (11455)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)
% 1.24/0.52 % (11465)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)
% 1.24/0.52 % (11474)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)
% 1.24/0.52 % (11460)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)
% 1.24/0.52 % (11480)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)
% 1.39/0.53 TRYING [1]
% 1.39/0.53 % (11481)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)
% 1.39/0.53 % (11476)First to succeed.
% 1.39/0.54 TRYING [2]
% 1.39/0.54 % (11472)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54 % (11456)Instruction limit reached!
% 1.39/0.54 % (11456)------------------------------
% 1.39/0.54 % (11456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (11456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (11456)Termination reason: Unknown
% 1.39/0.54 % (11456)Termination phase: Saturation
% 1.39/0.54
% 1.39/0.54 % (11456)Memory used [KB]: 1791
% 1.39/0.54 % (11456)Time elapsed: 0.152 s
% 1.39/0.54 % (11456)Instructions burned: 38 (million)
% 1.39/0.54 % (11456)------------------------------
% 1.39/0.54 % (11456)------------------------------
% 1.39/0.54 % (11476)Refutation found. Thanks to Tanya!
% 1.39/0.54 % SZS status Theorem for theBenchmark
% 1.39/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.54 % (11476)------------------------------
% 1.39/0.54 % (11476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (11476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (11476)Termination reason: Refutation
% 1.39/0.54
% 1.39/0.54 % (11476)Memory used [KB]: 1407
% 1.39/0.54 % (11476)Time elapsed: 0.136 s
% 1.39/0.54 % (11476)Instructions burned: 14 (million)
% 1.39/0.54 % (11476)------------------------------
% 1.39/0.54 % (11476)------------------------------
% 1.39/0.54 % (11453)Success in time 0.192 s
%------------------------------------------------------------------------------