TSTP Solution File: LCL636+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Sun May 5 07:48:55 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 692 ( 0 equ)
% Maximal formula atoms : 69 ( 19 avg)
% Number of connectives : 1166 ( 509 ~; 404 |; 251 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 164 ( 139 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(subsumption_resolution,[],[f99,f83]) ).
fof(f83,plain,
~ p2(sK9(sK12)),
inference(resolution,[],[f48,f78]) ).
fof(f78,plain,
sP6(sK12),
inference(subsumption_resolution,[],[f77,f75]) ).
fof(f75,plain,
~ p101(sK12),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( p100(sK12)
& ~ p101(sK12)
& ( ~ p101(sK12)
| p100(sK12) )
& ( ~ p100(sK12)
| ( ( ~ p1(sK12)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(sK12,X1) ) )
& ( p1(sK12)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(sK12,X2) ) ) ) )
& ( ~ p101(sK12)
| ( ( ~ p2(sK12)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(sK12,X3) ) )
& ( p2(sK12)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(sK12,X4) ) ) ) )
& ( ~ p100(sK12)
| p101(sK12)
| ( sP7(sK12)
& sP6(sK12) ) )
& ! [X5] :
( sP5(X5)
| ~ r1(sK12,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(sK12,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f41,f42]) ).
fof(f42,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( sP7(X0)
& sP6(X0) ) )
& ! [X5] :
( sP5(X5)
| ~ r1(X0,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) )
=> ( p100(sK12)
& ~ p101(sK12)
& ( ~ p101(sK12)
| p100(sK12) )
& ( ~ p100(sK12)
| ( ( ~ p1(sK12)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(sK12,X1) ) )
& ( p1(sK12)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(sK12,X2) ) ) ) )
& ( ~ p101(sK12)
| ( ( ~ p2(sK12)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(sK12,X3) ) )
& ( p2(sK12)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(sK12,X4) ) ) ) )
& ( ~ p100(sK12)
| p101(sK12)
| ( sP7(sK12)
& sP6(sK12) ) )
& ! [X5] :
( sP5(X5)
| ~ r1(sK12,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(sK12,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( sP7(X0)
& sP6(X0) ) )
& ! [X5] :
( sP5(X5)
| ~ r1(X0,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( sP7(X0)
& sP6(X0) ) )
& ! [X7] :
( sP5(X7)
| ~ r1(X0,X7) )
& ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X7] :
( ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X7,X13) )
| ~ sP0(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X7] :
( ? [X12] :
( p101(X12)
& p2(X12)
& r1(X7,X12) )
| ~ sP1(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X7] :
( ~ p100(X7)
| p101(X7)
| ( sP1(X7)
& sP0(X7) )
| ~ sP2(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X7] :
( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) )
| ~ sP3(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X7] :
( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) )
| ~ sP4(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& sP4(X7)
& sP3(X7)
& sP2(X7) )
| ~ sP5(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X0] :
( ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X0] :
( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ p100(X7)
| p101(X7)
| ( ? [X12] :
( p101(X12)
& p2(X12)
& r1(X7,X12) )
& ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) )
& ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ p100(X7)
| p101(X7)
| ( ? [X12] :
( p101(X12)
& p2(X12)
& r1(X7,X12) )
& ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) )
& ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X5] :
( ~ ( p101(X5)
& p2(X5) )
| ~ r1(X0,X5) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X12] :
( ~ ( p101(X12)
& p2(X12) )
| ~ r1(X7,X12) )
& ~ ! [X13] :
( ~ ( p101(X13)
& ~ p2(X13) )
| ~ r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) ) )
| ~ ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X5] :
( ~ ( p101(X5)
& ~ p102(X5)
& p2(X5) )
| ~ r1(X0,X5) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p102(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p102(X7)
| p101(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X12] :
( ~ ( p101(X12)
& ~ p102(X12)
& p2(X12) )
| ~ r1(X7,X12) )
& ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& ~ p2(X13) )
| ~ r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) ) )
| ~ ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X5] :
( ~ ( p101(X5)
& ~ p102(X5)
& p2(X5) )
| ~ r1(X0,X5) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p102(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p102(X7)
| p101(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X12] :
( ~ ( p101(X12)
& ~ p102(X12)
& p2(X12) )
| ~ r1(X7,X12) )
& ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& ~ p2(X13) )
| ~ r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) ) )
| ~ ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f77,plain,
( p101(sK12)
| sP6(sK12) ),
inference(subsumption_resolution,[],[f68,f76]) ).
fof(f76,plain,
p100(sK12),
inference(cnf_transformation,[],[f43]) ).
fof(f68,plain,
( ~ p100(sK12)
| p101(sK12)
| sP6(sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f48,plain,
! [X0] :
( ~ sP6(X0)
| ~ p2(sK9(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( p101(sK9(X0))
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f22,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( p101(sK9(X0))
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f99,plain,
p2(sK9(sK12)),
inference(resolution,[],[f95,f66]) ).
fof(f66,plain,
! [X6] :
( ~ r1(sK12,X6)
| p2(X6) ),
inference(cnf_transformation,[],[f43]) ).
fof(f95,plain,
r1(sK12,sK9(sK12)),
inference(resolution,[],[f47,f78]) ).
fof(f47,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 13:32:21 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (18194)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (18199)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (18200)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (18196)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (18201)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (18198)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (18197)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.33 % (18195)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (18199)First to succeed.
% 0.16/0.33 TRYING [1]
% 0.16/0.33 % (18200)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (18197)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 % (18199)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18194"
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [4]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (18196)Also succeeded, but the first one will report.
% 0.16/0.33 % (18198)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [3]
% 0.16/0.33 % (18199)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (18199)------------------------------
% 0.16/0.33 % (18199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (18199)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (18199)Memory used [KB]: 823
% 0.16/0.33 % (18199)Time elapsed: 0.004 s
% 0.16/0.33 % (18199)Instructions burned: 7 (million)
% 0.16/0.33 % (18194)Success in time 0.018 s
%------------------------------------------------------------------------------