TSTP Solution File: KRS098+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n013.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 17:30:48 EDT 2022
% Result : Unsatisfiable 1.47s 0.55s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 21
% Syntax : Number of formulae : 104 ( 11 unt; 0 def)
% Number of atoms : 518 ( 83 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 624 ( 210 ~; 190 |; 190 &)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 289 ( 205 !; 84 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f384,plain,
$false,
inference(subsumption_resolution,[],[f383,f226]) ).
fof(f226,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/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f383,plain,
~ cUnsatisfiable(i2003_11_14_17_20_25524),
inference(resolution,[],[f382,f206]) ).
fof(f206,plain,
! [X0] :
( sP1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ( rr(X0,sK15(X0))
& sK16(X0) != sK15(X0)
& rr(X0,sK16(X0)) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ! [X3,X4] :
( ~ rr(X0,X3)
| X3 = X4
| ~ rr(X0,X4) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f157,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
=> ( rr(X0,sK15(X0))
& sK16(X0) != sK15(X0)
& rr(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ! [X3,X4] :
( ~ rr(X0,X3)
| X3 = X4
| ~ rr(X0,X4) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& sP2(X0)
& sP1(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f130,f134,f133,f132]) ).
fof(f132,plain,
! [X0] :
( sP0(X0)
<=> ? [X7] :
( ! [X8,X9] :
( ~ rtt(X7,X9)
| ~ rtt(X7,X8)
| X8 = X9 )
& rr2(X0,X7)
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f133,plain,
! [X0] :
( sP1(X0)
<=> ? [X3] :
( ! [X4,X5] :
( ~ rtt(X3,X4)
| X4 = X5
| ~ rtt(X3,X5) )
& rr1(X0,X3)
& ? [X6] :
( rt1(X3,X6)
& cc(X6) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f134,plain,
! [X0] :
( sP2(X0)
<=> ? [X11] :
( ! [X14,X13] :
( ~ rtt(X11,X14)
| X13 = X14
| ~ rtt(X11,X13) )
& rr3(X0,X11)
& ? [X12] :
( ce(X12)
& rt3(X11,X12) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f130,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& ? [X11] :
( ! [X14,X13] :
( ~ rtt(X11,X14)
| X13 = X14
| ~ rtt(X11,X13) )
& rr3(X0,X11)
& ? [X12] :
( ce(X12)
& rt3(X11,X12) ) )
& ? [X3] :
( ! [X4,X5] :
( ~ rtt(X3,X4)
| X4 = X5
| ~ rtt(X3,X5) )
& rr1(X0,X3)
& ? [X6] :
( rt1(X3,X6)
& cc(X6) ) )
& ? [X7] :
( ! [X8,X9] :
( ~ rtt(X7,X9)
| ~ rtt(X7,X8)
| X8 = X9 )
& rr2(X0,X7)
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) ) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ? [X11] :
( ? [X12] :
( ce(X12)
& rt3(X11,X12) )
& rr3(X0,X11)
& ! [X14,X13] :
( X13 = X14
| ~ rtt(X11,X13)
| ~ rtt(X11,X14) ) )
& ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& ? [X7] :
( ? [X10] :
( rt2(X7,X10)
& cd(X10) )
& rr2(X0,X7)
& ! [X9,X8] :
( X8 = X9
| ~ rtt(X7,X9)
| ~ rtt(X7,X8) ) )
& ? [X3] :
( rr1(X0,X3)
& ? [X6] :
( rt1(X3,X6)
& cc(X6) )
& ! [X5,X4] :
( X4 = X5
| ~ rtt(X3,X4)
| ~ rtt(X3,X5) ) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ? [X11] :
( ? [X12] :
( ce(X12)
& rt3(X11,X12) )
& rr3(X0,X11)
& ! [X14,X13] :
( ( rtt(X11,X13)
& rtt(X11,X14) )
=> X13 = X14 ) )
& ~ ? [X2,X1] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
& ? [X7] :
( ? [X10] :
( rt2(X7,X10)
& cd(X10) )
& rr2(X0,X7)
& ! [X9,X8] :
( ( rtt(X7,X9)
& rtt(X7,X8) )
=> X8 = X9 ) )
& ? [X3] :
( rr1(X0,X3)
& ? [X6] :
( rt1(X3,X6)
& cc(X6) )
& ! [X5,X4] :
( ( rtt(X3,X4)
& rtt(X3,X5) )
=> X4 = X5 ) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ~ ? [X8,X9] :
( rr(X3,X9)
& X8 != X9
& rr(X3,X8) )
& ? [X4] :
( ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr1(X3,X4)
& ? [X5] :
( rt1(X4,X5)
& cc(X5) ) )
& ? [X4] :
( ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr2(X3,X4)
& ? [X5] :
( rt2(X4,X5)
& cd(X5) ) )
& ? [X4] :
( rr3(X3,X4)
& ? [X5] :
( ce(X5)
& rt3(X4,X5) )
& ! [X7,X6] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f382,plain,
~ sP1(i2003_11_14_17_20_25524),
inference(resolution,[],[f373,f191]) ).
fof(f191,plain,
! [X0] :
( cc(sK10(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ( rtt(X1,sK7(X1))
& sK8(X1) != sK7(X1)
& rtt(X1,sK8(X1)) )
| ~ rr1(X0,X1)
| ! [X4] :
( ~ rt1(X1,X4)
| ~ cc(X4) ) ) )
& ( ( ! [X6,X7] :
( ~ rtt(sK9(X0),X6)
| X6 = X7
| ~ rtt(sK9(X0),X7) )
& rr1(X0,sK9(X0))
& rt1(sK9(X0),sK10(X0))
& cc(sK10(X0)) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f144,f147,f146,f145]) ).
fof(f145,plain,
! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
=> ( rtt(X1,sK7(X1))
& sK8(X1) != sK7(X1)
& rtt(X1,sK8(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0] :
( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X6)
| X6 = X7
| ~ rtt(X5,X7) )
& rr1(X0,X5)
& ? [X8] :
( rt1(X5,X8)
& cc(X8) ) )
=> ( ! [X7,X6] :
( ~ rtt(sK9(X0),X6)
| X6 = X7
| ~ rtt(sK9(X0),X7) )
& rr1(X0,sK9(X0))
& ? [X8] :
( rt1(sK9(X0),X8)
& cc(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0] :
( ? [X8] :
( rt1(sK9(X0),X8)
& cc(X8) )
=> ( rt1(sK9(X0),sK10(X0))
& cc(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
| ~ rr1(X0,X1)
| ! [X4] :
( ~ rt1(X1,X4)
| ~ cc(X4) ) ) )
& ( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X6)
| X6 = X7
| ~ rtt(X5,X7) )
& rr1(X0,X5)
& ? [X8] :
( rt1(X5,X8)
& cc(X8) ) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( sP1(X0)
| ! [X3] :
( ? [X4,X5] :
( rtt(X3,X4)
& X4 != X5
& rtt(X3,X5) )
| ~ rr1(X0,X3)
| ! [X6] :
( ~ rt1(X3,X6)
| ~ cc(X6) ) ) )
& ( ? [X3] :
( ! [X4,X5] :
( ~ rtt(X3,X4)
| X4 = X5
| ~ rtt(X3,X5) )
& rr1(X0,X3)
& ? [X6] :
( rt1(X3,X6)
& cc(X6) ) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f373,plain,
~ cc(sK10(i2003_11_14_17_20_25524)),
inference(backward_demodulation,[],[f285,f371]) ).
fof(f371,plain,
sK14(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524),
inference(subsumption_resolution,[],[f370,f226]) ).
fof(f370,plain,
( sK14(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524)
| ~ cUnsatisfiable(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f369,f205]) ).
fof(f205,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f369,plain,
( ~ sP0(i2003_11_14_17_20_25524)
| sK14(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f366,f329]) ).
fof(f329,plain,
( rt2(sK5(i2003_11_14_17_20_25524),sK14(i2003_11_14_17_20_25524))
| ~ sP0(i2003_11_14_17_20_25524) ),
inference(backward_demodulation,[],[f307,f325]) ).
fof(f325,plain,
sK5(i2003_11_14_17_20_25524) = sK9(i2003_11_14_17_20_25524),
inference(subsumption_resolution,[],[f324,f226]) ).
fof(f324,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| sK5(i2003_11_14_17_20_25524) = sK9(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f304,f207]) ).
fof(f207,plain,
! [X0] :
( sP2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f304,plain,
( ~ sP2(i2003_11_14_17_20_25524)
| sK5(i2003_11_14_17_20_25524) = sK9(i2003_11_14_17_20_25524) ),
inference(backward_demodulation,[],[f301,f303]) ).
fof(f303,plain,
sK13(i2003_11_14_17_20_25524) = sK9(i2003_11_14_17_20_25524),
inference(subsumption_resolution,[],[f302,f226]) ).
fof(f302,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| sK13(i2003_11_14_17_20_25524) = sK9(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f300,f206]) ).
fof(f300,plain,
( ~ sP1(i2003_11_14_17_20_25524)
| sK13(i2003_11_14_17_20_25524) = sK9(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f297,f290]) ).
fof(f290,plain,
! [X0] :
( rr(X0,sK9(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f232,f193]) ).
fof(f193,plain,
! [X0] :
( rr1(X0,sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f232,plain,
! [X0,X1] :
( ~ rr1(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr1(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( rr1(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X3,X4] :
( rr1(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f297,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| sK13(i2003_11_14_17_20_25524) = X0 ),
inference(subsumption_resolution,[],[f296,f226]) ).
fof(f296,plain,
! [X0] :
( sK13(i2003_11_14_17_20_25524) = X0
| ~ rr(i2003_11_14_17_20_25524,X0)
| ~ cUnsatisfiable(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f293,f205]) ).
fof(f293,plain,
! [X0] :
( ~ sP0(i2003_11_14_17_20_25524)
| sK13(i2003_11_14_17_20_25524) = X0
| ~ rr(i2003_11_14_17_20_25524,X0) ),
inference(resolution,[],[f292,f288]) ).
fof(f288,plain,
! [X0] :
( rr(X0,sK13(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f223,f200]) ).
fof(f200,plain,
! [X0] :
( rr2(X0,sK13(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( rtt(X1,sK12(X1))
& rtt(X1,sK11(X1))
& sK11(X1) != sK12(X1) )
| ~ rr2(X0,X1)
| ! [X4] :
( ~ rt2(X1,X4)
| ~ cd(X4) ) ) )
& ( ( ! [X6,X7] :
( ~ rtt(sK13(X0),X7)
| ~ rtt(sK13(X0),X6)
| X6 = X7 )
& rr2(X0,sK13(X0))
& rt2(sK13(X0),sK14(X0))
& cd(sK14(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f150,f153,f152,f151]) ).
fof(f151,plain,
! [X1] :
( ? [X2,X3] :
( rtt(X1,X3)
& rtt(X1,X2)
& X2 != X3 )
=> ( rtt(X1,sK12(X1))
& rtt(X1,sK11(X1))
& sK11(X1) != sK12(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X7)
| ~ rtt(X5,X6)
| X6 = X7 )
& rr2(X0,X5)
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
=> ( ! [X7,X6] :
( ~ rtt(sK13(X0),X7)
| ~ rtt(sK13(X0),X6)
| X6 = X7 )
& rr2(X0,sK13(X0))
& ? [X8] :
( rt2(sK13(X0),X8)
& cd(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ? [X8] :
( rt2(sK13(X0),X8)
& cd(X8) )
=> ( rt2(sK13(X0),sK14(X0))
& cd(sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ? [X2,X3] :
( rtt(X1,X3)
& rtt(X1,X2)
& X2 != X3 )
| ~ rr2(X0,X1)
| ! [X4] :
( ~ rt2(X1,X4)
| ~ cd(X4) ) ) )
& ( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X7)
| ~ rtt(X5,X6)
| X6 = X7 )
& rr2(X0,X5)
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( sP0(X0)
| ! [X7] :
( ? [X8,X9] :
( rtt(X7,X9)
& rtt(X7,X8)
& X8 != X9 )
| ~ rr2(X0,X7)
| ! [X10] :
( ~ rt2(X7,X10)
| ~ cd(X10) ) ) )
& ( ? [X7] :
( ! [X8,X9] :
( ~ rtt(X7,X9)
| ~ rtt(X7,X8)
| X8 = X9 )
& rr2(X0,X7)
& ? [X10] :
( rt2(X7,X10)
& cd(X10) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f223,plain,
! [X0,X1] :
( ~ rr2(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ rr2(X0,X1)
| rr(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( rr2(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X3,X4] :
( rr2(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f292,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| ~ rr(i2003_11_14_17_20_25524,X1)
| X0 = X1 ),
inference(resolution,[],[f208,f226]) ).
fof(f208,plain,
! [X3,X0,X4] :
( ~ cUnsatisfiable(X0)
| X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ),
inference(cnf_transformation,[],[f159]) ).
fof(f301,plain,
( ~ sP2(i2003_11_14_17_20_25524)
| sK5(i2003_11_14_17_20_25524) = sK13(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f297,f291]) ).
fof(f291,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f233,f186]) ).
fof(f186,plain,
! [X0] :
( rr3(X0,sK5(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( sP2(X0)
| ! [X1] :
( ( rtt(X1,sK3(X1))
& sK3(X1) != sK4(X1)
& rtt(X1,sK4(X1)) )
| ~ rr3(X0,X1)
| ! [X4] :
( ~ ce(X4)
| ~ rt3(X1,X4) ) ) )
& ( ( ! [X6,X7] :
( ~ rtt(sK5(X0),X6)
| X6 = X7
| ~ rtt(sK5(X0),X7) )
& rr3(X0,sK5(X0))
& ce(sK6(X0))
& rt3(sK5(X0),sK6(X0)) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f138,f141,f140,f139]) ).
fof(f139,plain,
! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
=> ( rtt(X1,sK3(X1))
& sK3(X1) != sK4(X1)
& rtt(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X6)
| X6 = X7
| ~ rtt(X5,X7) )
& rr3(X0,X5)
& ? [X8] :
( ce(X8)
& rt3(X5,X8) ) )
=> ( ! [X7,X6] :
( ~ rtt(sK5(X0),X6)
| X6 = X7
| ~ rtt(sK5(X0),X7) )
& rr3(X0,sK5(X0))
& ? [X8] :
( ce(X8)
& rt3(sK5(X0),X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ? [X8] :
( ce(X8)
& rt3(sK5(X0),X8) )
=> ( ce(sK6(X0))
& rt3(sK5(X0),sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ( sP2(X0)
| ! [X1] :
( ? [X2,X3] :
( rtt(X1,X2)
& X2 != X3
& rtt(X1,X3) )
| ~ rr3(X0,X1)
| ! [X4] :
( ~ ce(X4)
| ~ rt3(X1,X4) ) ) )
& ( ? [X5] :
( ! [X6,X7] :
( ~ rtt(X5,X6)
| X6 = X7
| ~ rtt(X5,X7) )
& rr3(X0,X5)
& ? [X8] :
( ce(X8)
& rt3(X5,X8) ) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( sP2(X0)
| ! [X11] :
( ? [X14,X13] :
( rtt(X11,X14)
& X13 != X14
& rtt(X11,X13) )
| ~ rr3(X0,X11)
| ! [X12] :
( ~ ce(X12)
| ~ rt3(X11,X12) ) ) )
& ( ? [X11] :
( ! [X14,X13] :
( ~ rtt(X11,X14)
| X13 = X14
| ~ rtt(X11,X13) )
& rr3(X0,X11)
& ? [X12] :
( ce(X12)
& rt3(X11,X12) ) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f233,plain,
! [X0,X1] :
( ~ rr3(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( rr3(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3,X4] :
( rr3(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f307,plain,
( ~ sP0(i2003_11_14_17_20_25524)
| rt2(sK9(i2003_11_14_17_20_25524),sK14(i2003_11_14_17_20_25524)) ),
inference(superposition,[],[f199,f303]) ).
fof(f199,plain,
! [X0] :
( rt2(sK13(X0),sK14(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f366,plain,
! [X1] :
( ~ rt2(sK5(i2003_11_14_17_20_25524),X1)
| sK10(i2003_11_14_17_20_25524) = X1 ),
inference(resolution,[],[f364,f224]) ).
fof(f224,plain,
! [X0,X1] :
( rtt(X1,X0)
| ~ rt2(X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( rtt(X1,X0)
| ~ rt2(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( rt2(X1,X0)
=> rtt(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] :
( rt2(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f364,plain,
! [X0] :
( ~ rtt(sK5(i2003_11_14_17_20_25524),X0)
| sK10(i2003_11_14_17_20_25524) = X0 ),
inference(subsumption_resolution,[],[f363,f226]) ).
fof(f363,plain,
! [X0] :
( sK10(i2003_11_14_17_20_25524) = X0
| ~ rtt(sK5(i2003_11_14_17_20_25524),X0)
| ~ cUnsatisfiable(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f362,f206]) ).
fof(f362,plain,
! [X0] :
( ~ sP1(i2003_11_14_17_20_25524)
| ~ rtt(sK5(i2003_11_14_17_20_25524),X0)
| sK10(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f359,f338]) ).
fof(f338,plain,
( rt1(sK5(i2003_11_14_17_20_25524),sK10(i2003_11_14_17_20_25524))
| ~ sP1(i2003_11_14_17_20_25524) ),
inference(superposition,[],[f192,f325]) ).
fof(f192,plain,
! [X0] :
( rt1(sK9(X0),sK10(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f359,plain,
! [X0,X1] :
( ~ rt1(sK5(i2003_11_14_17_20_25524),X1)
| ~ rtt(sK5(i2003_11_14_17_20_25524),X0)
| X0 = X1 ),
inference(resolution,[],[f358,f249]) ).
fof(f249,plain,
! [X0,X1] :
( rtt(X1,X0)
| ~ rt1(X1,X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ rt1(X1,X0)
| rtt(X1,X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ~ rt1(X0,X1)
| rtt(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( rt1(X0,X1)
=> rtt(X0,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X3,X4] :
( rt1(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f358,plain,
! [X0,X1] :
( ~ rtt(sK5(i2003_11_14_17_20_25524),X1)
| X0 = X1
| ~ rtt(sK5(i2003_11_14_17_20_25524),X0) ),
inference(resolution,[],[f316,f226]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X0)
| X1 = X2
| ~ rtt(sK5(X0),X1)
| ~ rtt(sK5(X0),X2) ),
inference(resolution,[],[f187,f207]) ).
fof(f187,plain,
! [X0,X6,X7] :
( ~ sP2(X0)
| ~ rtt(sK5(X0),X7)
| X6 = X7
| ~ rtt(sK5(X0),X6) ),
inference(cnf_transformation,[],[f142]) ).
fof(f285,plain,
~ cc(sK14(i2003_11_14_17_20_25524)),
inference(resolution,[],[f284,f238]) ).
fof(f238,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
~ ( cd(X0)
& cc(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X3] :
~ ( cd(X3)
& cc(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f284,plain,
cd(sK14(i2003_11_14_17_20_25524)),
inference(resolution,[],[f280,f226]) ).
fof(f280,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK14(X0)) ),
inference(resolution,[],[f198,f205]) ).
fof(f198,plain,
! [X0] :
( ~ sP0(X0)
| cd(sK14(X0)) ),
inference(cnf_transformation,[],[f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:29:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.38/0.53 % (21341)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)
% 1.38/0.54 % (21333)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)
% 1.38/0.54 % (21325)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.54 % (21318)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)
% 1.38/0.54 % (21325)Instruction limit reached!
% 1.38/0.54 % (21325)------------------------------
% 1.38/0.54 % (21325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (21332)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)
% 1.38/0.55 % (21324)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)
% 1.47/0.55 % (21326)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.55 TRYING [1]
% 1.47/0.55 TRYING [2]
% 1.47/0.55 TRYING [3]
% 1.47/0.55 % (21333)First to succeed.
% 1.47/0.55 % (21325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (21325)Termination reason: Unknown
% 1.47/0.55 % (21325)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (21325)Memory used [KB]: 5628
% 1.47/0.55 % (21325)Time elapsed: 0.123 s
% 1.47/0.55 % (21325)Instructions burned: 7 (million)
% 1.47/0.55 % (21325)------------------------------
% 1.47/0.55 % (21325)------------------------------
% 1.47/0.55 % (21341)Also succeeded, but the first one will report.
% 1.47/0.55 % (21342)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55 % (21333)Refutation found. Thanks to Tanya!
% 1.47/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.55 % (21333)------------------------------
% 1.47/0.55 % (21333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (21333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (21333)Termination reason: Refutation
% 1.47/0.55
% 1.47/0.55 % (21333)Memory used [KB]: 1151
% 1.47/0.55 % (21333)Time elapsed: 0.131 s
% 1.47/0.55 % (21333)Instructions burned: 8 (million)
% 1.47/0.55 % (21333)------------------------------
% 1.47/0.55 % (21333)------------------------------
% 1.47/0.55 % (21317)Success in time 0.193 s
%------------------------------------------------------------------------------