TSTP Solution File: KRS098+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 17:29:41 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 84 ( 5 unt; 0 def)
% Number of atoms : 455 ( 60 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 571 ( 200 ~; 177 |; 164 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 273 ( 201 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f537,plain,
$false,
inference(resolution,[],[f536,f247]) ).
fof(f247,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f536,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(resolution,[],[f535,f227]) ).
fof(f227,plain,
! [X0] :
( sP3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP3(X0) )
& ( sP3(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP3(X0) ),
inference(definition_folding,[],[f91,f134,f133,f132,f131]) ).
fof(f131,plain,
! [X0] :
( sP0(X0)
<=> ! [X6,X5] :
( ~ rr(X0,X6)
| X5 = X6
| ~ rr(X0,X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f132,plain,
! [X0] :
( sP1(X0)
<=> ? [X7] :
( rr2(X0,X7)
& ! [X8,X9] :
( ~ rtt(X7,X9)
| X8 = X9
| ~ rtt(X7,X8) )
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
! [X0] :
( sP2(X0)
<=> ? [X11] :
( rr1(X0,X11)
& ! [X14,X13] :
( ~ rtt(X11,X14)
| ~ rtt(X11,X13)
| X13 = X14 )
& ? [X12] :
( cc(X12)
& rt1(X11,X12) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f134,plain,
! [X0] :
( sP3(X0)
<=> ( ? [X1] :
( ! [X2,X3] :
( ~ rtt(X1,X2)
| X2 = X3
| ~ rtt(X1,X3) )
& rr3(X0,X1)
& ? [X4] :
( rt3(X1,X4)
& ce(X4) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f91,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ! [X2,X3] :
( ~ rtt(X1,X2)
| X2 = X3
| ~ rtt(X1,X3) )
& rr3(X0,X1)
& ? [X4] :
( rt3(X1,X4)
& ce(X4) ) )
& ? [X11] :
( rr1(X0,X11)
& ! [X14,X13] :
( ~ rtt(X11,X14)
| ~ rtt(X11,X13)
| X13 = X14 )
& ? [X12] :
( cc(X12)
& rt1(X11,X12) ) )
& ? [X7] :
( rr2(X0,X7)
& ! [X8,X9] :
( ~ rtt(X7,X9)
| X8 = X9
| ~ rtt(X7,X8) )
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) )
& ! [X6,X5] :
( ~ rr(X0,X6)
| X5 = X6
| ~ rr(X0,X5) ) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( ? [X1] :
( ? [X4] :
( rt3(X1,X4)
& ce(X4) )
& ! [X3,X2] :
( X2 = X3
| ~ rtt(X1,X3)
| ~ rtt(X1,X2) )
& rr3(X0,X1) )
& ! [X6,X5] :
( ~ rr(X0,X6)
| X5 = X6
| ~ rr(X0,X5) )
& ? [X11] :
( ! [X14,X13] :
( X13 = X14
| ~ rtt(X11,X13)
| ~ rtt(X11,X14) )
& rr1(X0,X11)
& ? [X12] :
( cc(X12)
& rt1(X11,X12) ) )
& ? [X7] :
( rr2(X0,X7)
& ! [X9,X8] :
( X8 = X9
| ~ rtt(X7,X8)
| ~ rtt(X7,X9) )
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ? [X1] :
( ? [X4] :
( rt3(X1,X4)
& ce(X4) )
& ! [X3,X2] :
( ( rtt(X1,X3)
& rtt(X1,X2) )
=> X2 = X3 )
& rr3(X0,X1) )
& ~ ? [X5,X6] :
( rr(X0,X5)
& rr(X0,X6)
& X5 != X6 )
& ? [X11] :
( ! [X14,X13] :
( ( rtt(X11,X13)
& rtt(X11,X14) )
=> X13 = X14 )
& rr1(X0,X11)
& ? [X12] :
( cc(X12)
& rt1(X11,X12) ) )
& ? [X7] :
( rr2(X0,X7)
& ! [X9,X8] :
( ( rtt(X7,X8)
& rtt(X7,X9) )
=> X8 = X9 )
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3] :
( ( ? [X4] :
( ! [X7,X6] :
( ( rtt(X4,X6)
& rtt(X4,X7) )
=> X6 = X7 )
& rr3(X3,X4)
& ? [X5] :
( rt3(X4,X5)
& ce(X5) ) )
& ~ ? [X8,X9] :
( rr(X3,X8)
& X8 != X9
& rr(X3,X9) )
& ? [X4] :
( rr2(X3,X4)
& ! [X6,X7] :
( ( rtt(X4,X6)
& rtt(X4,X7) )
=> X6 = X7 )
& ? [X5] :
( rt2(X4,X5)
& cd(X5) ) )
& ? [X4] :
( ? [X5] :
( cc(X5)
& rt1(X4,X5) )
& ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr1(X3,X4) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f535,plain,
! [X0] : ~ sP3(X0),
inference(subsumption_resolution,[],[f532,f201]) ).
fof(f201,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ( rtt(X1,sK4(X1))
& sK4(X1) != sK5(X1)
& rtt(X1,sK5(X1)) )
| ~ rr3(X0,X1)
| ! [X4] :
( ~ rt3(X1,X4)
| ~ ce(X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ! [X6,X7] :
( ~ rtt(sK6(X0),X6)
| X6 = X7
| ~ rtt(sK6(X0),X7) )
& rr3(X0,sK6(X0))
& rt3(sK6(X0),sK7(X0))
& ce(sK7(X0))
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f146,f149,f148,f147]) ).
fof(f147,plain,
! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
=> ( rtt(X1,sK4(X1))
& sK4(X1) != sK5(X1)
& rtt(X1,sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X6)
| X6 = X7
| ~ rtt(X5,X7) )
& rr3(X0,X5)
& ? [X8] :
( rt3(X5,X8)
& ce(X8) ) )
=> ( ! [X7,X6] :
( ~ rtt(sK6(X0),X6)
| X6 = X7
| ~ rtt(sK6(X0),X7) )
& rr3(X0,sK6(X0))
& ? [X8] :
( rt3(sK6(X0),X8)
& ce(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X8] :
( rt3(sK6(X0),X8)
& ce(X8) )
=> ( rt3(sK6(X0),sK7(X0))
& ce(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
| ~ rr3(X0,X1)
| ! [X4] :
( ~ rt3(X1,X4)
| ~ ce(X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X6)
| X6 = X7
| ~ rtt(X5,X7) )
& rr3(X0,X5)
& ? [X8] :
( rt3(X5,X8)
& ce(X8) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
| ~ rr3(X0,X1)
| ! [X4] :
( ~ rt3(X1,X4)
| ~ ce(X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( ! [X2,X3] :
( ~ rtt(X1,X2)
| X2 = X3
| ~ rtt(X1,X3) )
& rr3(X0,X1)
& ? [X4] :
( rt3(X1,X4)
& ce(X4) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
| ~ rr3(X0,X1)
| ! [X4] :
( ~ rt3(X1,X4)
| ~ ce(X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( ! [X2,X3] :
( ~ rtt(X1,X2)
| X2 = X3
| ~ rtt(X1,X3) )
& rr3(X0,X1)
& ? [X4] :
( rt3(X1,X4)
& ce(X4) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f532,plain,
! [X0] :
( ~ sP3(X0)
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f529]) ).
fof(f529,plain,
! [X0] :
( ~ sP2(X0)
| ~ sP2(X0)
| ~ sP3(X0) ),
inference(resolution,[],[f528,f296]) ).
fof(f296,plain,
! [X0] :
( rr(X0,sK10(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f242,f212]) ).
fof(f212,plain,
! [X0] :
( rr1(X0,sK10(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( sP2(X0)
| ! [X1] :
( ~ rr1(X0,X1)
| ( rtt(X1,sK8(X1))
& rtt(X1,sK9(X1))
& sK9(X1) != sK8(X1) )
| ! [X4] :
( ~ cc(X4)
| ~ rt1(X1,X4) ) ) )
& ( ( rr1(X0,sK10(X0))
& ! [X6,X7] :
( ~ rtt(sK10(X0),X6)
| ~ rtt(sK10(X0),X7)
| X6 = X7 )
& cc(sK11(X0))
& rt1(sK10(X0),sK11(X0)) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f152,f155,f154,f153]) ).
fof(f153,plain,
! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& rtt(X1,X3)
& X2 != X3 )
=> ( rtt(X1,sK8(X1))
& rtt(X1,sK9(X1))
& sK9(X1) != sK8(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ? [X5] :
( rr1(X0,X5)
& ! [X6,X7] :
( ~ rtt(X5,X6)
| ~ rtt(X5,X7)
| X6 = X7 )
& ? [X8] :
( cc(X8)
& rt1(X5,X8) ) )
=> ( rr1(X0,sK10(X0))
& ! [X7,X6] :
( ~ rtt(sK10(X0),X6)
| ~ rtt(sK10(X0),X7)
| X6 = X7 )
& ? [X8] :
( cc(X8)
& rt1(sK10(X0),X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( ? [X8] :
( cc(X8)
& rt1(sK10(X0),X8) )
=> ( cc(sK11(X0))
& rt1(sK10(X0),sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ( sP2(X0)
| ! [X1] :
( ~ rr1(X0,X1)
| ? [X2,X3] :
( rtt(X1,X2)
& rtt(X1,X3)
& X2 != X3 )
| ! [X4] :
( ~ cc(X4)
| ~ rt1(X1,X4) ) ) )
& ( ? [X5] :
( rr1(X0,X5)
& ! [X6,X7] :
( ~ rtt(X5,X6)
| ~ rtt(X5,X7)
| X6 = X7 )
& ? [X8] :
( cc(X8)
& rt1(X5,X8) ) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( sP2(X0)
| ! [X11] :
( ~ rr1(X0,X11)
| ? [X14,X13] :
( rtt(X11,X14)
& rtt(X11,X13)
& X13 != X14 )
| ! [X12] :
( ~ cc(X12)
| ~ rt1(X11,X12) ) ) )
& ( ? [X11] :
( rr1(X0,X11)
& ! [X14,X13] :
( ~ rtt(X11,X14)
| ~ rtt(X11,X13)
| X13 = X14 )
& ? [X12] :
( cc(X12)
& rt1(X11,X12) ) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f242,plain,
! [X0,X1] :
( ~ rr1(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ rr1(X0,X1)
| rr(X0,X1) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ~ rr1(X1,X0)
| rr(X1,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( rr1(X1,X0)
=> rr(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X4,X3] :
( rr1(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f528,plain,
! [X0,X1] :
( ~ rr(X1,sK10(X0))
| ~ sP3(X1)
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f524,f210]) ).
fof(f210,plain,
! [X0] :
( cc(sK11(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f524,plain,
! [X0,X1] :
( ~ rr(X1,sK10(X0))
| ~ sP2(X0)
| ~ cc(sK11(X0))
| ~ sP3(X1) ),
inference(resolution,[],[f515,f209]) ).
fof(f209,plain,
! [X0] :
( rt1(sK10(X0),sK11(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f515,plain,
! [X10,X11,X9] :
( ~ rt1(X11,X10)
| ~ cc(X10)
| ~ sP3(X9)
| ~ rr(X9,X11) ),
inference(duplicate_literal_removal,[],[f505]) ).
fof(f505,plain,
! [X10,X11,X9] :
( ~ cc(X10)
| ~ rt1(X11,X10)
| ~ sP3(X9)
| ~ sP3(X9)
| ~ rr(X9,X11) ),
inference(superposition,[],[f287,f499]) ).
fof(f499,plain,
! [X2,X0,X1] :
( sK7(X0) = X2
| ~ rr(X0,X1)
| ~ rt1(X1,X2)
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f498]) ).
fof(f498,plain,
! [X2,X0,X1] :
( sK7(X0) = X2
| ~ rt1(X1,X2)
| ~ sP3(X0)
| ~ sP3(X0)
| ~ rr(X0,X1) ),
inference(superposition,[],[f495,f303]) ).
fof(f303,plain,
! [X0,X1] :
( sK6(X0) = X1
| ~ rr(X0,X1)
| ~ sP3(X0) ),
inference(subsumption_resolution,[],[f298,f199]) ).
fof(f199,plain,
! [X0] :
( ~ sP3(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f298,plain,
! [X0,X1] :
( sK6(X0) = X1
| ~ rr(X0,X1)
| ~ sP0(X0)
| ~ sP3(X0) ),
inference(resolution,[],[f223,f295]) ).
fof(f295,plain,
! [X0] :
( rr(X0,sK6(X0))
| ~ sP3(X0) ),
inference(resolution,[],[f240,f204]) ).
fof(f204,plain,
! [X0] :
( rr3(X0,sK6(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f240,plain,
! [X0,X1] :
( ~ rr3(X1,X0)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ rr3(X1,X0)
| rr(X1,X0) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( ~ rr3(X0,X1)
| rr(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( rr3(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3,X4] :
( rr3(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f223,plain,
! [X3,X0,X4] :
( ~ rr(X0,X4)
| ~ rr(X0,X3)
| X3 = X4
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( sP0(X0)
| ( rr(X0,sK16(X0))
& sK16(X0) != sK17(X0)
& rr(X0,sK17(X0)) ) )
& ( ! [X3,X4] :
( ~ rr(X0,X3)
| X3 = X4
| ~ rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f164,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
=> ( rr(X0,sK16(X0))
& sK16(X0) != sK17(X0)
& rr(X0,sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) ) )
& ( ! [X3,X4] :
( ~ rr(X0,X3)
| X3 = X4
| ~ rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( sP0(X0)
| ? [X6,X5] :
( rr(X0,X6)
& X5 != X6
& rr(X0,X5) ) )
& ( ! [X6,X5] :
( ~ rr(X0,X6)
| X5 = X6
| ~ rr(X0,X5) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f495,plain,
! [X0,X1] :
( ~ rt1(sK6(X0),X1)
| sK7(X0) = X1
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f489,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ rt1(sK6(X0),X1)
| sK7(X0) = X1
| ~ sP3(X0) ),
inference(resolution,[],[f379,f203]) ).
fof(f203,plain,
! [X0] :
( rt3(sK6(X0),sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f379,plain,
! [X3,X4,X5] :
( ~ rt3(sK6(X3),X4)
| ~ rt1(sK6(X3),X5)
| X4 = X5
| ~ sP3(X3) ),
inference(resolution,[],[f304,f192]) ).
fof(f192,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt1(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ rt1(X0,X1)
| rtt(X0,X1) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ~ rt1(X1,X0)
| rtt(X1,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( rt1(X1,X0)
=> rtt(X1,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] :
( rt1(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ rtt(sK6(X2),X0)
| ~ sP3(X2)
| ~ rt3(sK6(X2),X1)
| X0 = X1 ),
inference(resolution,[],[f205,f254]) ).
fof(f254,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ rt3(X0,X1)
| rtt(X0,X1) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( ~ rt3(X1,X0)
| rtt(X1,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( rt3(X1,X0)
=> rtt(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4,X3] :
( rt3(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f205,plain,
! [X0,X6,X7] :
( ~ rtt(sK6(X0),X7)
| X6 = X7
| ~ sP3(X0)
| ~ rtt(sK6(X0),X6) ),
inference(cnf_transformation,[],[f150]) ).
fof(f287,plain,
! [X1] :
( ~ cc(sK7(X1))
| ~ sP3(X1) ),
inference(resolution,[],[f202,f233]) ).
fof(f233,plain,
! [X0] :
( ~ ce(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ ce(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
~ ( cc(X0)
& ce(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X3] :
~ ( cc(X3)
& ce(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f202,plain,
! [X0] :
( ce(sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 00:37:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.53 % (26008)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (26009)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (26018)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (26018)Refutation not found, incomplete strategy% (26018)------------------------------
% 0.20/0.53 % (26018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26018)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (26018)Memory used [KB]: 5884
% 0.20/0.53 % (26018)Time elapsed: 0.001 s
% 0.20/0.53 % (26018)------------------------------
% 0.20/0.53 % (26018)------------------------------
% 0.20/0.53 % (26019)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (26019)Refutation not found, incomplete strategy% (26019)------------------------------
% 0.20/0.53 % (26019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26019)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (26019)Memory used [KB]: 5884
% 0.20/0.53 % (26019)Time elapsed: 0.002 s
% 0.20/0.53 % (26019)Instructions burned: 1 (million)
% 0.20/0.53 % (26019)------------------------------
% 0.20/0.53 % (26019)------------------------------
% 0.20/0.54 % (26034)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (26009)Refutation not found, incomplete strategy% (26009)------------------------------
% 0.20/0.54 % (26009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26009)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (26009)Memory used [KB]: 5884
% 0.20/0.54 % (26009)Time elapsed: 0.003 s
% 0.20/0.54 % (26009)Instructions burned: 2 (million)
% 0.20/0.54 % (26009)------------------------------
% 0.20/0.54 % (26009)------------------------------
% 0.20/0.54 % (26035)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54 % (26014)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (26014)Refutation not found, incomplete strategy% (26014)------------------------------
% 0.20/0.54 % (26014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26014)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (26014)Memory used [KB]: 5884
% 0.20/0.54 % (26014)Time elapsed: 0.002 s
% 0.20/0.54 % (26014)Instructions burned: 1 (million)
% 0.20/0.54 % (26014)------------------------------
% 0.20/0.54 % (26014)------------------------------
% 0.20/0.54 % (26011)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (26008)First to succeed.
% 0.20/0.54 % (26033)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55 % (26033)Refutation not found, incomplete strategy% (26033)------------------------------
% 0.20/0.55 % (26033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26033)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (26033)Memory used [KB]: 1535
% 0.20/0.55 % (26033)Time elapsed: 0.003 s
% 0.20/0.55 % (26033)Instructions burned: 3 (million)
% 0.20/0.55 % (26033)------------------------------
% 0.20/0.55 % (26033)------------------------------
% 0.20/0.55 % (26034)Refutation not found, incomplete strategy% (26034)------------------------------
% 0.20/0.55 % (26034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26025)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (26024)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (26011)Refutation not found, incomplete strategy% (26011)------------------------------
% 0.20/0.56 % (26011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26011)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (26011)Memory used [KB]: 5884
% 0.20/0.56 % (26011)Time elapsed: 0.003 s
% 0.20/0.56 % (26011)Instructions burned: 1 (million)
% 0.20/0.56 % (26011)------------------------------
% 0.20/0.56 % (26011)------------------------------
% 0.20/0.56 % (26035)Also succeeded, but the first one will report.
% 0.20/0.56 % (26008)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.56 % (26008)------------------------------
% 1.56/0.56 % (26008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (26008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (26008)Termination reason: Refutation
% 1.56/0.56
% 1.56/0.56 % (26008)Memory used [KB]: 6140
% 1.56/0.56 % (26008)Time elapsed: 0.122 s
% 1.56/0.56 % (26008)Instructions burned: 13 (million)
% 1.56/0.56 % (26008)------------------------------
% 1.56/0.56 % (26008)------------------------------
% 1.56/0.56 % (26007)Success in time 0.2 s
%------------------------------------------------------------------------------