TSTP Solution File: KRS098+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 07:17:51 EDT 2024
% Result : Unsatisfiable 0.66s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 100 ( 7 unt; 0 def)
% Number of atoms : 527 ( 80 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 641 ( 214 ~; 197 |; 192 &)
% ( 14 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 8 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 276 ( 188 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f368,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f273,f275,f282,f289,f344,f360,f367]) ).
fof(f367,plain,
( ~ spl16_3
| spl16_13 ),
inference(avatar_split_clause,[],[f366,f357,f266]) ).
fof(f266,plain,
( spl16_3
<=> sP1(i2003_11_14_17_20_25524) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f357,plain,
( spl16_13
<=> cd(sK5(i2003_11_14_17_20_25524)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f366,plain,
( ~ sP1(i2003_11_14_17_20_25524)
| spl16_13 ),
inference(resolution,[],[f359,f172]) ).
fof(f172,plain,
! [X0] :
( cd(sK5(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rt2(X1,X2) )
| ( sK2(X1) != sK3(X1)
& rtt(X1,sK3(X1))
& rtt(X1,sK2(X1)) )
| ~ rr2(X0,X1) ) )
& ( ( cd(sK5(X0))
& rt2(sK4(X0),sK5(X0))
& ! [X7,X8] :
( X7 = X8
| ~ rtt(sK4(X0),X8)
| ~ rtt(sK4(X0),X7) )
& rr2(X0,sK4(X0)) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f119,f122,f121,f120]) ).
fof(f120,plain,
! [X1] :
( ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
=> ( sK2(X1) != sK3(X1)
& rtt(X1,sK3(X1))
& rtt(X1,sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ? [X5] :
( ? [X6] :
( cd(X6)
& rt2(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr2(X0,X5) )
=> ( ? [X6] :
( cd(X6)
& rt2(sK4(X0),X6) )
& ! [X8,X7] :
( X7 = X8
| ~ rtt(sK4(X0),X8)
| ~ rtt(sK4(X0),X7) )
& rr2(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ? [X6] :
( cd(X6)
& rt2(sK4(X0),X6) )
=> ( cd(sK5(X0))
& rt2(sK4(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rt2(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr2(X0,X1) ) )
& ( ? [X5] :
( ? [X6] :
( cd(X6)
& rt2(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr2(X0,X5) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( sP1(X0)
| ! [X7] :
( ! [X8] :
( ~ cd(X8)
| ~ rt2(X7,X8) )
| ? [X9,X10] :
( X9 != X10
& rtt(X7,X10)
& rtt(X7,X9) )
| ~ rr2(X0,X7) ) )
& ( ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f115]) ).
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(f359,plain,
( ~ cd(sK5(i2003_11_14_17_20_25524))
| spl16_13 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( ~ spl16_1
| ~ spl16_13
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f348,f341,f357,f253]) ).
fof(f253,plain,
( spl16_1
<=> sP0(i2003_11_14_17_20_25524) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f341,plain,
( spl16_11
<=> sK9(i2003_11_14_17_20_25524) = sK5(i2003_11_14_17_20_25524) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f348,plain,
( ~ cd(sK5(i2003_11_14_17_20_25524))
| ~ sP0(i2003_11_14_17_20_25524)
| ~ spl16_11 ),
inference(superposition,[],[f242,f343]) ).
fof(f343,plain,
( sK9(i2003_11_14_17_20_25524) = sK5(i2003_11_14_17_20_25524)
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f242,plain,
! [X0] :
( ~ cd(sK9(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f178,f205]) ).
fof(f205,plain,
! [X0] :
( ~ ce(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ cd(X0)
| ~ ce(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
~ ( cd(X0)
& ce(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X3] :
~ ( cd(X3)
& ce(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_7) ).
fof(f178,plain,
! [X0] :
( ce(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( sK6(X1) != sK7(X1)
& rtt(X1,sK7(X1))
& rtt(X1,sK6(X1)) )
| ! [X4] :
( ~ ce(X4)
| ~ rt3(X1,X4) )
| ~ rr3(X0,X1) ) )
& ( ( ! [X6,X7] :
( X6 = X7
| ~ rtt(sK8(X0),X7)
| ~ rtt(sK8(X0),X6) )
& ce(sK9(X0))
& rt3(sK8(X0),sK9(X0))
& rr3(X0,sK8(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f125,f128,f127,f126]) ).
fof(f126,plain,
! [X1] :
( ? [X2,X3] :
( X2 != X3
& rtt(X1,X3)
& rtt(X1,X2) )
=> ( sK6(X1) != sK7(X1)
& rtt(X1,sK7(X1))
& rtt(X1,sK6(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,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(sK8(X0),X7)
| ~ rtt(sK8(X0),X6) )
& ? [X8] :
( ce(X8)
& rt3(sK8(X0),X8) )
& rr3(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ? [X8] :
( ce(X8)
& rt3(sK8(X0),X8) )
=> ( ce(sK9(X0))
& rt3(sK8(X0),sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,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,[],[f124]) ).
fof(f124,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(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(f344,plain,
( ~ spl16_3
| spl16_11
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f339,f279,f341,f266]) ).
fof(f279,plain,
( spl16_5
<=> rt3(sK4(i2003_11_14_17_20_25524),sK9(i2003_11_14_17_20_25524)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f339,plain,
( sK9(i2003_11_14_17_20_25524) = sK5(i2003_11_14_17_20_25524)
| ~ sP1(i2003_11_14_17_20_25524)
| ~ spl16_5 ),
inference(resolution,[],[f336,f171]) ).
fof(f171,plain,
! [X0] :
( rt2(sK4(X0),sK5(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f336,plain,
( ! [X0] :
( ~ rt2(sK4(i2003_11_14_17_20_25524),X0)
| sK9(i2003_11_14_17_20_25524) = X0 )
| ~ spl16_5 ),
inference(resolution,[],[f334,f209]) ).
fof(f209,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( rt2(X0,X1)
=> rtt(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X3,X4] :
( rt2(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_11) ).
fof(f334,plain,
( ! [X0] :
( ~ rtt(sK4(i2003_11_14_17_20_25524),X0)
| sK9(i2003_11_14_17_20_25524) = X0 )
| ~ spl16_5 ),
inference(resolution,[],[f331,f281]) ).
fof(f281,plain,
( rt3(sK4(i2003_11_14_17_20_25524),sK9(i2003_11_14_17_20_25524))
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f331,plain,
! [X0,X1] :
( ~ rt3(sK4(i2003_11_14_17_20_25524),X1)
| X0 = X1
| ~ rtt(sK4(i2003_11_14_17_20_25524),X0) ),
inference(resolution,[],[f330,f211]) ).
fof(f211,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,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/sandbox2/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_13) ).
fof(f330,plain,
! [X0,X1] :
( ~ rtt(sK4(i2003_11_14_17_20_25524),X0)
| ~ rtt(sK4(i2003_11_14_17_20_25524),X1)
| X0 = X1 ),
inference(resolution,[],[f170,f239]) ).
fof(f239,plain,
sP1(i2003_11_14_17_20_25524),
inference(resolution,[],[f184,f202]) ).
fof(f202,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/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_4) ).
fof(f184,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ( sK10(X1) != sK11(X1)
& rtt(X1,sK11(X1))
& rtt(X1,sK10(X1)) )
| ~ rr1(X0,X1) )
| ( sK12(X0) != sK13(X0)
& rr(X0,sK13(X0))
& rr(X0,sK12(X0)) )
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( cc(sK15(X0))
& rt1(sK14(X0),sK15(X0))
& ! [X9,X10] :
( X9 = X10
| ~ rtt(sK14(X0),X10)
| ~ rtt(sK14(X0),X9) )
& rr1(X0,sK14(X0))
& ! [X11,X12] :
( X11 = X12
| ~ rr(X0,X12)
| ~ rr(X0,X11) )
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15])],[f132,f136,f135,f134,f133]) ).
fof(f133,plain,
! [X1] :
( ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
=> ( sK10(X1) != sK11(X1)
& rtt(X1,sK11(X1))
& rtt(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X5,X6] :
( X5 != X6
& rr(X0,X6)
& rr(X0,X5) )
=> ( sK12(X0) != sK13(X0)
& rr(X0,sK13(X0))
& rr(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X7] :
( ? [X8] :
( cc(X8)
& rt1(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr1(X0,X7) )
=> ( ? [X8] :
( cc(X8)
& rt1(sK14(X0),X8) )
& ! [X10,X9] :
( X9 = X10
| ~ rtt(sK14(X0),X10)
| ~ rtt(sK14(X0),X9) )
& rr1(X0,sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ? [X8] :
( cc(X8)
& rt1(sK14(X0),X8) )
=> ( cc(sK15(X0))
& rt1(sK14(X0),sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,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) )
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X7] :
( ? [X8] :
( cc(X8)
& rt1(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr1(X0,X7) )
& ! [X11,X12] :
( X11 = X12
| ~ rr(X0,X12)
| ~ rr(X0,X11) )
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f131]) ).
fof(f131,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) )
| ~ sP1(X0)
| ~ sP0(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) )
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f130]) ).
fof(f130,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) )
| ~ sP1(X0)
| ~ sP0(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) )
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,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) )
& sP1(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f104,f115,f114]) ).
fof(f104,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,[],[f103]) ).
fof(f103,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,[],[f42]) ).
fof(f42,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/sandbox2/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_2) ).
fof(f170,plain,
! [X0,X8,X7] :
( ~ sP1(X0)
| ~ rtt(sK4(X0),X8)
| ~ rtt(sK4(X0),X7)
| X7 = X8 ),
inference(cnf_transformation,[],[f123]) ).
fof(f289,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| spl16_1 ),
inference(resolution,[],[f255,f238]) ).
fof(f238,plain,
sP0(i2003_11_14_17_20_25524),
inference(resolution,[],[f183,f202]) ).
fof(f183,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f255,plain,
( ~ sP0(i2003_11_14_17_20_25524)
| spl16_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f282,plain,
( ~ spl16_1
| spl16_5
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f276,f270,f279,f253]) ).
fof(f270,plain,
( spl16_4
<=> sK8(i2003_11_14_17_20_25524) = sK4(i2003_11_14_17_20_25524) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f276,plain,
( rt3(sK4(i2003_11_14_17_20_25524),sK9(i2003_11_14_17_20_25524))
| ~ sP0(i2003_11_14_17_20_25524)
| ~ spl16_4 ),
inference(superposition,[],[f177,f272]) ).
fof(f272,plain,
( sK8(i2003_11_14_17_20_25524) = sK4(i2003_11_14_17_20_25524)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f177,plain,
! [X0] :
( rt3(sK8(X0),sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f275,plain,
spl16_3,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| spl16_3 ),
inference(resolution,[],[f268,f239]) ).
fof(f268,plain,
( ~ sP1(i2003_11_14_17_20_25524)
| spl16_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f273,plain,
( ~ spl16_3
| spl16_4
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f264,f257,f270,f266]) ).
fof(f257,plain,
( spl16_2
<=> ! [X0] :
( sK8(i2003_11_14_17_20_25524) = X0
| ~ rr(i2003_11_14_17_20_25524,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f264,plain,
( sK8(i2003_11_14_17_20_25524) = sK4(i2003_11_14_17_20_25524)
| ~ sP1(i2003_11_14_17_20_25524)
| ~ spl16_2 ),
inference(resolution,[],[f261,f169]) ).
fof(f169,plain,
! [X0] :
( rr2(X0,sK4(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f261,plain,
( ! [X0] :
( ~ rr2(i2003_11_14_17_20_25524,X0)
| sK8(i2003_11_14_17_20_25524) = X0 )
| ~ spl16_2 ),
inference(resolution,[],[f258,f207]) ).
fof(f207,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( rr2(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X3,X4] :
( rr2(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_9) ).
fof(f258,plain,
( ! [X0] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| sK8(i2003_11_14_17_20_25524) = X0 )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f251,f257,f253]) ).
fof(f251,plain,
! [X0] :
( sK8(i2003_11_14_17_20_25524) = X0
| ~ rr(i2003_11_14_17_20_25524,X0)
| ~ sP0(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f248,f176]) ).
fof(f176,plain,
! [X0] :
( rr3(X0,sK8(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f248,plain,
! [X0,X1] :
( ~ rr3(i2003_11_14_17_20_25524,X1)
| X0 = X1
| ~ rr(i2003_11_14_17_20_25524,X0) ),
inference(resolution,[],[f247,f210]) ).
fof(f210,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358',axiom_12) ).
fof(f247,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| ~ rr(i2003_11_14_17_20_25524,X1)
| X0 = X1 ),
inference(resolution,[],[f185,f202]) ).
fof(f185,plain,
! [X0,X11,X12] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X12)
| ~ rr(X0,X11)
| X11 = X12 ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.35 % Computer : n025.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri May 3 19:54:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_UNS_RFO_SEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.BS7FFgtKrY/Vampire---4.8_17358
% 0.66/0.82 % (17531)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.66/0.82 % (17531)Refutation not found, incomplete strategy% (17531)------------------------------
% 0.66/0.82 % (17531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17532)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.66/0.82 % (17531)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17531)Memory used [KB]: 950
% 0.66/0.82 % (17531)Time elapsed: 0.001 s
% 0.66/0.82 % (17531)Instructions burned: 2 (million)
% 0.66/0.82 % (17533)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.82 % (17534)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.66/0.82 % (17535)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.66/0.82 % (17536)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.66/0.82 % (17531)------------------------------
% 0.66/0.82 % (17531)------------------------------
% 0.66/0.82 % (17538)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.66/0.82 % (17533)Refutation not found, incomplete strategy% (17533)------------------------------
% 0.66/0.82 % (17533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17533)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17533)Memory used [KB]: 950
% 0.66/0.82 % (17533)Time elapsed: 0.002 s
% 0.66/0.82 % (17533)Instructions burned: 2 (million)
% 0.66/0.82 % (17534)Refutation not found, incomplete strategy% (17534)------------------------------
% 0.66/0.82 % (17534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17536)Refutation not found, incomplete strategy% (17536)------------------------------
% 0.66/0.82 % (17536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17534)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17534)Memory used [KB]: 950
% 0.66/0.82 % (17534)Time elapsed: 0.002 s
% 0.66/0.82 % (17534)Instructions burned: 2 (million)
% 0.66/0.82 % (17536)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17536)Memory used [KB]: 950
% 0.66/0.82 % (17538)Refutation not found, incomplete strategy% (17538)------------------------------
% 0.66/0.82 % (17538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17538)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17538)Memory used [KB]: 950
% 0.66/0.82 % (17538)Time elapsed: 0.002 s
% 0.66/0.82 % (17538)Instructions burned: 2 (million)
% 0.66/0.82 % (17536)Time elapsed: 0.002 s
% 0.66/0.82 % (17536)Instructions burned: 2 (million)
% 0.66/0.82 % (17533)------------------------------
% 0.66/0.82 % (17533)------------------------------
% 0.66/0.82 % (17534)------------------------------
% 0.66/0.82 % (17534)------------------------------
% 0.66/0.82 % (17538)------------------------------
% 0.66/0.82 % (17538)------------------------------
% 0.66/0.82 % (17536)------------------------------
% 0.66/0.82 % (17536)------------------------------
% 0.66/0.82 % (17535)Refutation not found, incomplete strategy% (17535)------------------------------
% 0.66/0.82 % (17535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17535)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17535)Memory used [KB]: 1112
% 0.66/0.82 % (17535)Time elapsed: 0.004 s
% 0.66/0.82 % (17535)Instructions burned: 4 (million)
% 0.66/0.82 % (17535)------------------------------
% 0.66/0.82 % (17535)------------------------------
% 0.66/0.82 % (17537)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.66/0.82 % (17537)Refutation not found, incomplete strategy% (17537)------------------------------
% 0.66/0.82 % (17537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17537)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17537)Memory used [KB]: 950
% 0.66/0.82 % (17537)Time elapsed: 0.001 s
% 0.66/0.82 % (17537)Instructions burned: 2 (million)
% 0.66/0.82 % (17537)------------------------------
% 0.66/0.82 % (17537)------------------------------
% 0.66/0.82 % (17539)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.66/0.82 % (17541)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.66/0.82 % (17532)First to succeed.
% 0.66/0.82 % (17542)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.66/0.82 % (17543)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.66/0.82 % (17541)Refutation not found, incomplete strategy% (17541)------------------------------
% 0.66/0.82 % (17541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17541)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17541)Memory used [KB]: 950
% 0.66/0.82 % (17541)Time elapsed: 0.002 s
% 0.66/0.82 % (17541)Instructions burned: 2 (million)
% 0.66/0.82 % (17542)Refutation not found, incomplete strategy% (17542)------------------------------
% 0.66/0.82 % (17542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17543)Refutation not found, incomplete strategy% (17543)------------------------------
% 0.66/0.82 % (17543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17542)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17542)Memory used [KB]: 950
% 0.66/0.82 % (17542)Time elapsed: 0.002 s
% 0.66/0.82 % (17542)Instructions burned: 2 (million)
% 0.66/0.82 % (17543)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (17543)Memory used [KB]: 950
% 0.66/0.82 % (17543)Time elapsed: 0.002 s
% 0.66/0.82 % (17543)Instructions burned: 2 (million)
% 0.66/0.82 % (17541)------------------------------
% 0.66/0.82 % (17541)------------------------------
% 0.66/0.82 % (17542)------------------------------
% 0.66/0.82 % (17542)------------------------------
% 0.66/0.82 % (17543)------------------------------
% 0.66/0.82 % (17543)------------------------------
% 0.66/0.82 % (17540)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.66/0.82 % (17544)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.66/0.82 % (17532)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17523"
% 0.66/0.82 % (17532)Refutation found. Thanks to Tanya!
% 0.66/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.82 % (17532)------------------------------
% 0.66/0.82 % (17532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (17532)Termination reason: Refutation
% 0.66/0.82
% 0.66/0.82 % (17532)Memory used [KB]: 1175
% 0.66/0.82 % (17532)Time elapsed: 0.008 s
% 0.66/0.82 % (17532)Instructions burned: 12 (million)
% 0.66/0.82 % (17523)Success in time 0.455 s
% 0.66/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------