TSTP Solution File: KRS118+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS118+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 : n015.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 17:30:51 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 102 ( 6 unt; 0 def)
% Number of atoms : 333 ( 11 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 369 ( 138 ~; 129 |; 71 &)
% ( 19 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 162 ( 130 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f432,plain,
$false,
inference(avatar_sat_refutation,[],[f309,f317,f428,f431]) ).
fof(f431,plain,
( ~ spl6_5
| spl6_13 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl6_5
| spl6_13 ),
inference(subsumption_resolution,[],[f429,f308]) ).
fof(f308,plain,
( ca_Vx3(sK4(i2003_11_14_17_21_4056))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl6_5
<=> ca_Vx3(sK4(i2003_11_14_17_21_4056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f429,plain,
( ~ ca_Vx3(sK4(i2003_11_14_17_21_4056))
| spl6_13 ),
inference(resolution,[],[f396,f178]) ).
fof(f178,plain,
! [X0] :
( cd(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( ( rinvF(X0,sK4(X0))
& cd(sK4(X0)) )
| ~ ca_Vx3(X0) )
& ( ca_Vx3(X0)
| ! [X2] :
( ~ rinvF(X0,X2)
| ~ cd(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f131,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( rinvF(X0,X1)
& cd(X1) )
=> ( rinvF(X0,sK4(X0))
& cd(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ( ? [X1] :
( rinvF(X0,X1)
& cd(X1) )
| ~ ca_Vx3(X0) )
& ( ca_Vx3(X0)
| ! [X2] :
( ~ rinvF(X0,X2)
| ~ cd(X2) ) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ? [X1] :
( rinvF(X0,X1)
& cd(X1) )
| ~ ca_Vx3(X0) )
& ( ca_Vx3(X0)
| ! [X1] :
( ~ rinvF(X0,X1)
| ~ cd(X1) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( rinvF(X0,X1)
& cd(X1) )
<=> ca_Vx3(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( rinvF(X3,X4)
& cd(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f396,plain,
( ~ cd(sK4(sK4(i2003_11_14_17_21_4056)))
| spl6_13 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl6_13
<=> cd(sK4(sK4(i2003_11_14_17_21_4056))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f428,plain,
( ~ spl6_13
| ~ spl6_1
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f427,f306,f286,f394]) ).
fof(f286,plain,
( spl6_1
<=> cd(sK4(i2003_11_14_17_21_4056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f427,plain,
( ~ cd(sK4(sK4(i2003_11_14_17_21_4056)))
| ~ spl6_1
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f383,f318]) ).
fof(f318,plain,
( cc(sK4(i2003_11_14_17_21_4056))
| ~ spl6_1 ),
inference(resolution,[],[f287,f190]) ).
fof(f190,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| ~ cc(X0) )
& ( ( ccxcomp(sK5(X0))
& rf(X0,sK5(X0))
& cc(X0) )
| ~ cd(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f144,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) )
=> ( ccxcomp(sK5(X0))
& rf(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| ~ cc(X0) )
& ( ( ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| ~ cc(X0) )
& ( ( ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| ~ cc(X0) )
& ( ( ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( cd(X0)
<=> ( ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) )
& cc(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ( ? [X4] :
( ccxcomp(X4)
& rf(X3,X4) )
& cc(X3) )
<=> cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f287,plain,
( cd(sK4(i2003_11_14_17_21_4056))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f383,plain,
( ~ cd(sK4(sK4(i2003_11_14_17_21_4056)))
| ~ cc(sK4(i2003_11_14_17_21_4056))
| ~ spl6_5 ),
inference(superposition,[],[f222,f319]) ).
fof(f319,plain,
( sK4(i2003_11_14_17_21_4056) = sK5(sK4(sK4(i2003_11_14_17_21_4056)))
| ~ spl6_5 ),
inference(resolution,[],[f308,f270]) ).
fof(f270,plain,
! [X2] :
( ~ ca_Vx3(X2)
| sK5(sK4(X2)) = X2 ),
inference(subsumption_resolution,[],[f268,f178]) ).
fof(f268,plain,
! [X2] :
( ~ ca_Vx3(X2)
| ~ cd(sK4(X2))
| sK5(sK4(X2)) = X2 ),
inference(resolution,[],[f251,f227]) ).
fof(f227,plain,
! [X0] :
( rf(sK4(X0),X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f179,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( rf(X1,X0)
| ~ rinvF(X0,X1) )
& ( rinvF(X0,X1)
| ~ rf(X1,X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( rf(X1,X0)
<=> rinvF(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3,X4] :
( rf(X4,X3)
<=> rinvF(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f179,plain,
! [X0] :
( rinvF(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f251,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| ~ cd(X0)
| sK5(X0) = X1 ),
inference(resolution,[],[f180,f191]) ).
fof(f191,plain,
! [X0] :
( rf(X0,sK5(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ rf(X1,X2)
| ~ rf(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ rf(X1,X2)
| ~ rf(X1,X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X1,X2,X0] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X2,X0] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3,X4,X6] :
( ( rf(X3,X6)
& rf(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f222,plain,
! [X0] :
( ~ cc(sK5(X0))
| ~ cd(X0) ),
inference(resolution,[],[f219,f192]) ).
fof(f192,plain,
! [X0] :
( ccxcomp(sK5(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f219,plain,
! [X0] :
( ~ ccxcomp(X0)
| ~ cc(X0) ),
inference(resolution,[],[f154,f175]) ).
fof(f175,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( cc(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f127,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( cc(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ ? [X1] : ra_Px1(X0,X1)
<=> cc(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( cc(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f154,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK0(X0))
| ~ ccxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f109,f110]) ).
fof(f110,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ccxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> ccxcomp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f317,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f315,f250]) ).
fof(f250,plain,
ca_Vx3(i2003_11_14_17_21_4056),
inference(resolution,[],[f249,f195]) ).
fof(f195,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f249,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(subsumption_resolution,[],[f245,f164]) ).
fof(f164,plain,
! [X0] :
( cd(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ( rinvR(X0,sK1(X0))
& ~ ca_Vx3(sK1(X0)) )
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) ) )
& ( ( ccxcomp(X0)
& ! [X3] :
( ~ rinvR(X0,X3)
| ca_Vx3(X3) )
& cd(sK2(X0))
& rinvF(X0,sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f118,f120,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
=> ( rinvR(X0,sK1(X0))
& ~ ca_Vx3(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ? [X4] :
( cd(X4)
& rinvF(X0,X4) )
=> ( cd(sK2(X0))
& rinvF(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) ) )
& ( ( ccxcomp(X0)
& ! [X3] :
( ~ rinvR(X0,X3)
| ca_Vx3(X3) )
& ? [X4] :
( cd(X4)
& rinvF(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) ) )
& ( ( ccxcomp(X0)
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) )
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) ) )
& ( ( ccxcomp(X0)
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) )
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) )
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ccxcomp(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( ( ccxcomp(X3)
& ! [X4] :
( rinvR(X3,X4)
=> ca_Vx3(X4) )
& ? [X4] :
( cd(X4)
& rinvF(X3,X4) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f245,plain,
! [X0] :
( ~ cd(sK2(X0))
| ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f177,f163]) ).
fof(f163,plain,
! [X0] :
( rinvF(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f177,plain,
! [X2,X0] :
( ~ rinvF(X0,X2)
| ~ cd(X2)
| ca_Vx3(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f315,plain,
( ~ ca_Vx3(i2003_11_14_17_21_4056)
| spl6_1 ),
inference(resolution,[],[f288,f178]) ).
fof(f288,plain,
( ~ cd(sK4(i2003_11_14_17_21_4056))
| spl6_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f309,plain,
( spl6_5
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f304,f286,f306]) ).
fof(f304,plain,
( ~ cd(sK4(i2003_11_14_17_21_4056))
| ca_Vx3(sK4(i2003_11_14_17_21_4056)) ),
inference(subsumption_resolution,[],[f283,f195]) ).
fof(f283,plain,
( ca_Vx3(sK4(i2003_11_14_17_21_4056))
| ~ cd(sK4(i2003_11_14_17_21_4056))
| ~ cUnsatisfiable(i2003_11_14_17_21_4056) ),
inference(superposition,[],[f241,f272]) ).
fof(f272,plain,
i2003_11_14_17_21_4056 = sK5(sK4(i2003_11_14_17_21_4056)),
inference(resolution,[],[f270,f250]) ).
fof(f241,plain,
! [X0] :
( ~ cUnsatisfiable(sK5(X0))
| ca_Vx3(X0)
| ~ cd(X0) ),
inference(resolution,[],[f165,f234]) ).
fof(f234,plain,
! [X0] :
( rinvR(sK5(X0),X0)
| ~ cd(X0) ),
inference(resolution,[],[f228,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( rr(X0,X1)
| ~ rinvR(X1,X0) )
& ( rinvR(X1,X0)
| ~ rr(X0,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( rr(X0,X1)
<=> rinvR(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f228,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ cd(X0) ),
inference(resolution,[],[f191,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ rf(X1,X0)
| rr(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( rf(X1,X0)
=> rr(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X4,X3] :
( rf(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f165,plain,
! [X3,X0] :
( ~ rinvR(X0,X3)
| ca_Vx3(X3)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS118+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
% 0.14/0.35 % Computer : n015.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 00:45:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (22061)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (22053)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (22049)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)
% 0.21/0.53 % (22061)First to succeed.
% 0.21/0.54 % (22071)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54 % (22052)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (22063)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)
% 0.21/0.54 % (22065)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (22066)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54 % (22062)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (22077)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (22073)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (22076)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 % (22050)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (22058)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (22068)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (22074)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (22072)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)
% 0.21/0.54 % (22064)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (22061)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (22061)------------------------------
% 0.21/0.55 % (22061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22061)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (22061)Memory used [KB]: 5628
% 0.21/0.55 % (22061)Time elapsed: 0.142 s
% 0.21/0.55 % (22061)Instructions burned: 5 (million)
% 0.21/0.55 % (22061)------------------------------
% 0.21/0.55 % (22061)------------------------------
% 0.21/0.55 % (22048)Success in time 0.191 s
%------------------------------------------------------------------------------