TSTP Solution File: KRS098+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 07:19:31 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 88 ( 9 unt; 0 def)
% Number of atoms : 425 ( 70 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 511 ( 174 ~; 154 |; 153 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 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 : 244 ( 176 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f349,plain,
$false,
inference(resolution,[],[f348,f146]) ).
fof(f146,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(f348,plain,
~ cUnsatisfiable(i2003_11_14_17_20_25524),
inference(resolution,[],[f347,f182]) ).
fof(f182,plain,
! [X0] :
( sP3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP3(X0)
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP3(X0)
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f54,f117,f116,f115,f114]) ).
fof(f114,plain,
! [X0] :
( sP0(X0)
<=> ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f115,plain,
! [X0] :
( sP1(X0)
<=> ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f116,plain,
! [X0] :
( sP2(X0)
<=> ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f117,plain,
! [X0] :
( sP3(X0)
<=> ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f54,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) )
& ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) )
& ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( ( rtt(X1,X4)
& rtt(X1,X3) )
=> X3 = X4 )
& rr1(X0,X1) )
& ~ ? [X5,X6] :
( X5 != X6
& rr(X0,X6)
& rr(X0,X5) )
& ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( ( rtt(X7,X10)
& rtt(X7,X9) )
=> X9 = X10 )
& rr2(X0,X7) )
& ? [X11] :
( ! [X12,X13] :
( ( rtt(X11,X13)
& rtt(X11,X12) )
=> X12 = X13 )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( ? [X5] :
( cc(X5)
& rt1(X4,X5) )
& ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr1(X3,X4) )
& ~ ? [X8,X9] :
( X8 != X9
& rr(X3,X9)
& rr(X3,X8) )
& ? [X4] :
( ? [X5] :
( cd(X5)
& rt2(X4,X5) )
& ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr2(X3,X4) )
& ? [X4] :
( ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& ? [X5] :
( ce(X5)
& rt3(X4,X5) )
& rr3(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f347,plain,
~ sP3(i2003_11_14_17_20_25524),
inference(resolution,[],[f345,f157]) ).
fof(f157,plain,
! [X0] :
( cc(sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ( sK4(X1) != sK5(X1)
& rtt(X1,sK5(X1))
& rtt(X1,sK4(X1)) )
| ~ rr1(X0,X1) ) )
& ( ( cc(sK7(X0))
& rt1(sK6(X0),sK7(X0))
& ! [X7,X8] :
( X7 = X8
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7) )
& rr1(X0,sK6(X0)) )
| ~ sP3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f123,f126,f125,f124]) ).
fof(f124,plain,
! [X1] :
( ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
=> ( sK4(X1) != sK5(X1)
& rtt(X1,sK5(X1))
& rtt(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X5] :
( ? [X6] :
( cc(X6)
& rt1(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr1(X0,X5) )
=> ( ? [X6] :
( cc(X6)
& rt1(sK6(X0),X6) )
& ! [X8,X7] :
( X7 = X8
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7) )
& rr1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ? [X6] :
( cc(X6)
& rt1(sK6(X0),X6) )
=> ( cc(sK7(X0))
& rt1(sK6(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr1(X0,X1) ) )
& ( ? [X5] :
( ? [X6] :
( cc(X6)
& rt1(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr1(X0,X5) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr1(X0,X1) ) )
& ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f345,plain,
~ cc(sK7(i2003_11_14_17_20_25524)),
inference(backward_demodulation,[],[f254,f341]) ).
fof(f341,plain,
sK17(i2003_11_14_17_20_25524) = sK7(i2003_11_14_17_20_25524),
inference(resolution,[],[f340,f146]) ).
fof(f340,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| sK17(i2003_11_14_17_20_25524) = sK7(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f339,f179]) ).
fof(f179,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f339,plain,
( ~ sP0(i2003_11_14_17_20_25524)
| sK17(i2003_11_14_17_20_25524) = sK7(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f334,f312]) ).
fof(f312,plain,
( rt3(sK6(i2003_11_14_17_20_25524),sK17(i2003_11_14_17_20_25524))
| ~ sP0(i2003_11_14_17_20_25524) ),
inference(superposition,[],[f173,f308]) ).
fof(f308,plain,
sK6(i2003_11_14_17_20_25524) = sK16(i2003_11_14_17_20_25524),
inference(resolution,[],[f299,f146]) ).
fof(f299,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| sK6(i2003_11_14_17_20_25524) = sK16(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f297,f179]) ).
fof(f297,plain,
( ~ sP0(i2003_11_14_17_20_25524)
| sK6(i2003_11_14_17_20_25524) = sK16(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f291,f172]) ).
fof(f172,plain,
! [X0] :
( rr3(X0,sK16(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( sK14(X1) != sK15(X1)
& rtt(X1,sK15(X1))
& rtt(X1,sK14(X1)) )
| ! [X4] :
( ~ ce(X4)
| ~ rt3(X1,X4) )
| ~ rr3(X0,X1) ) )
& ( ( ! [X6,X7] :
( X6 = X7
| ~ rtt(sK16(X0),X7)
| ~ rtt(sK16(X0),X6) )
& ce(sK17(X0))
& rt3(sK16(X0),sK17(X0))
& rr3(X0,sK16(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f139,f142,f141,f140]) ).
fof(f140,plain,
! [X1] :
( ? [X2,X3] :
( X2 != X3
& rtt(X1,X3)
& rtt(X1,X2) )
=> ( sK14(X1) != sK15(X1)
& rtt(X1,sK15(X1))
& rtt(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ? [X5] :
( ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X7)
| ~ rtt(X5,X6) )
& ? [X8] :
( ce(X8)
& rt3(X5,X8) )
& rr3(X0,X5) )
=> ( ! [X7,X6] :
( X6 = X7
| ~ rtt(sK16(X0),X7)
| ~ rtt(sK16(X0),X6) )
& ? [X8] :
( ce(X8)
& rt3(sK16(X0),X8) )
& rr3(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0] :
( ? [X8] :
( ce(X8)
& rt3(sK16(X0),X8) )
=> ( ce(sK17(X0))
& rt3(sK16(X0),sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ? [X2,X3] :
( X2 != X3
& rtt(X1,X3)
& rtt(X1,X2) )
| ! [X4] :
( ~ ce(X4)
| ~ rt3(X1,X4) )
| ~ rr3(X0,X1) ) )
& ( ? [X5] :
( ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X7)
| ~ rtt(X5,X6) )
& ? [X8] :
( ce(X8)
& rt3(X5,X8) )
& rr3(X0,X5) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( sP0(X0)
| ! [X11] :
( ? [X12,X13] :
( X12 != X13
& rtt(X11,X13)
& rtt(X11,X12) )
| ! [X14] :
( ~ ce(X14)
| ~ rt3(X11,X14) )
| ~ rr3(X0,X11) ) )
& ( ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f291,plain,
! [X0] :
( ~ rr3(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f285,f187]) ).
fof(f187,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,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/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f285,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f281,f146]) ).
fof(f281,plain,
! [X0] :
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| sK6(i2003_11_14_17_20_25524) = X0
| ~ rr(i2003_11_14_17_20_25524,X0) ),
inference(resolution,[],[f278,f182]) ).
fof(f278,plain,
! [X0] :
( ~ sP3(i2003_11_14_17_20_25524)
| ~ rr(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f267,f154]) ).
fof(f154,plain,
! [X0] :
( rr1(X0,sK6(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f267,plain,
! [X0,X1] :
( ~ rr1(i2003_11_14_17_20_25524,X0)
| X0 = X1
| ~ rr(i2003_11_14_17_20_25524,X1) ),
inference(resolution,[],[f263,f189]) ).
fof(f189,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,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/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f263,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_25524,X1)
| ~ rr(i2003_11_14_17_20_25524,X0)
| X0 = X1 ),
inference(resolution,[],[f261,f146]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| X1 = X2
| ~ rr(X0,X1) ),
inference(resolution,[],[f161,f181]) ).
fof(f181,plain,
! [X0] :
( sP2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f161,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| X3 = X4 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( sP2(X0)
| ( sK8(X0) != sK9(X0)
& rr(X0,sK9(X0))
& rr(X0,sK8(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK8(X0) != sK9(X0)
& rr(X0,sK9(X0))
& rr(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( sP2(X0)
| ? [X5,X6] :
( X5 != X6
& rr(X0,X6)
& rr(X0,X5) ) )
& ( ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f173,plain,
! [X0] :
( rt3(sK16(X0),sK17(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f334,plain,
! [X0] :
( ~ rt3(sK6(i2003_11_14_17_20_25524),X0)
| sK7(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f329,f191]) ).
fof(f191,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( rt3(X0,X1)
=> rtt(X0,X1) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X3,X4] :
( rt3(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f329,plain,
! [X0] :
( ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| sK7(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f328,f146]) ).
fof(f328,plain,
! [X0] :
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| sK7(i2003_11_14_17_20_25524) = X0
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0) ),
inference(resolution,[],[f327,f182]) ).
fof(f327,plain,
! [X0] :
( ~ sP3(i2003_11_14_17_20_25524)
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| sK7(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f318,f156]) ).
fof(f156,plain,
! [X0] :
( rt1(sK6(X0),sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f318,plain,
! [X0,X1] :
( ~ rt1(sK6(i2003_11_14_17_20_25524),X0)
| X0 = X1
| ~ rtt(sK6(i2003_11_14_17_20_25524),X1) ),
inference(resolution,[],[f316,f192]) ).
fof(f192,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt1(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt1(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,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/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f316,plain,
! [X0,X1] :
( ~ rtt(sK6(i2003_11_14_17_20_25524),X1)
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| X0 = X1 ),
inference(resolution,[],[f262,f146]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rtt(sK6(X0),X2)
| X1 = X2
| ~ rtt(sK6(X0),X1) ),
inference(resolution,[],[f155,f182]) ).
fof(f155,plain,
! [X0,X8,X7] :
( ~ sP3(X0)
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7)
| X7 = X8 ),
inference(cnf_transformation,[],[f127]) ).
fof(f254,plain,
~ cc(sK17(i2003_11_14_17_20_25524)),
inference(resolution,[],[f250,f146]) ).
fof(f250,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cc(sK17(X0)) ),
inference(resolution,[],[f246,f179]) ).
fof(f246,plain,
! [X0] :
( ~ sP0(X0)
| ~ cc(sK17(X0)) ),
inference(resolution,[],[f174,f184]) ).
fof(f184,plain,
! [X0] :
( ~ ce(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ cc(X0)
| ~ ce(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,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(f174,plain,
! [X0] :
( ce(sK17(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n018.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 : Fri May 3 19:54:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (26132)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (26135)WARNING: value z3 for option sas not known
% 0.13/0.36 % (26137)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (26138)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (26136)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (26134)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (26135)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (26139)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (26133)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (26138)First to succeed.
% 0.13/0.36 % (26139)Also succeeded, but the first one will report.
% 0.13/0.36 % (26138)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26132"
% 0.13/0.36 % (26138)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (26138)------------------------------
% 0.13/0.36 % (26138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (26138)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (26138)Memory used [KB]: 943
% 0.13/0.36 % (26138)Time elapsed: 0.009 s
% 0.13/0.36 % (26138)Instructions burned: 13 (million)
% 0.13/0.36 % (26132)Success in time 0.022 s
%------------------------------------------------------------------------------