TSTP Solution File: KRS118+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS118+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 : n017.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 07:19:35 EDT 2024
% Result : Unsatisfiable 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 135 ( 9 unt; 0 def)
% Number of atoms : 406 ( 15 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 441 ( 170 ~; 162 |; 75 &)
% ( 22 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 180 ( 147 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f338,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f265,f269,f297,f302,f309,f337]) ).
fof(f337,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f335,f279]) ).
fof(f279,plain,
( ca_Vx3(sK2(i2003_11_14_17_21_4056))
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f253,f256]) ).
fof(f256,plain,
( cd(sK2(i2003_11_14_17_21_4056))
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl7_1
<=> cd(sK2(i2003_11_14_17_21_4056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f253,plain,
( ~ cd(sK2(i2003_11_14_17_21_4056))
| ca_Vx3(sK2(i2003_11_14_17_21_4056)) ),
inference(subsumption_resolution,[],[f247,f119]) ).
fof(f119,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(f247,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| ~ cd(sK2(i2003_11_14_17_21_4056))
| ca_Vx3(sK2(i2003_11_14_17_21_4056)) ),
inference(superposition,[],[f222,f246]) ).
fof(f246,plain,
i2003_11_14_17_21_4056 = sK3(sK2(i2003_11_14_17_21_4056)),
inference(resolution,[],[f241,f119]) ).
fof(f241,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(sK2(X0)) = X0 ),
inference(resolution,[],[f235,f211]) ).
fof(f211,plain,
! [X0] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f210,f141]) ).
fof(f141,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP0(X0) ),
inference(definition_folding,[],[f46,f90]) ).
fof(f90,plain,
! [X0] :
( sP0(X0)
<=> ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f46,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( rinvR(X0,X2)
=> ca_Vx3(X2) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ccxcomp(X3)
& ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
& ! [X4] :
( rinvR(X3,X4)
=> ca_Vx3(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f210,plain,
! [X0] :
( ~ sP0(X0)
| ca_Vx3(X0) ),
inference(subsumption_resolution,[],[f208,f137]) ).
fof(f137,plain,
! [X0] :
( cd(sK6(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( sP0(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ( ~ ca_Vx3(sK5(X0))
& rinvR(X0,sK5(X0)) ) )
& ( ( ccxcomp(X0)
& cd(sK6(X0))
& rinvF(X0,sK6(X0))
& ! [X4] :
( ca_Vx3(X4)
| ~ rinvR(X0,X4) ) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f112,f114,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) )
=> ( ~ ca_Vx3(sK5(X0))
& rinvR(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ? [X3] :
( cd(X3)
& rinvF(X0,X3) )
=> ( cd(sK6(X0))
& rinvF(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ( sP0(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) ) )
& ( ( ccxcomp(X0)
& ? [X3] :
( cd(X3)
& rinvF(X0,X3) )
& ! [X4] :
( ca_Vx3(X4)
| ~ rinvR(X0,X4) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( sP0(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) ) )
& ( ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( sP0(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) ) )
& ( ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f208,plain,
! [X0] :
( ~ cd(sK6(X0))
| ca_Vx3(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f128,f136]) ).
fof(f136,plain,
! [X0] :
( rinvF(X0,sK6(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| ~ cd(X1)
| ca_Vx3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ( cd(sK2(X0))
& rinvF(X0,sK2(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f98,f99]) ).
fof(f99,plain,
! [X0] :
( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
=> ( cd(sK2(X0))
& rinvF(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cd(X1)
& rinvF(X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( cd(X4)
& rinvF(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f235,plain,
! [X0] :
( ~ ca_Vx3(X0)
| sK3(sK2(X0)) = X0 ),
inference(subsumption_resolution,[],[f232,f127]) ).
fof(f127,plain,
! [X0] :
( cd(sK2(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f232,plain,
! [X0] :
( sK3(sK2(X0)) = X0
| ~ cd(sK2(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f226,f204]) ).
fof(f204,plain,
! [X0] :
( rf(sK2(X0),X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f155,f126]) ).
fof(f126,plain,
! [X0] :
( rinvF(X0,sK2(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f155,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f226,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| sK3(X1) = X0
| ~ cd(X1) ),
inference(resolution,[],[f167,f129]) ).
fof(f129,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ccxcomp(sK3(X0))
& rf(X0,sK3(X0)) )
| ~ cd(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f103,f104]) ).
fof(f104,plain,
! [X0] :
( ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) )
=> ( ccxcomp(sK3(X0))
& rf(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) ) )
| ~ cd(X0) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) )
| ~ cd(X0) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) )
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( cd(X0)
<=> ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( cd(X3)
<=> ( cc(X3)
& ? [X4] :
( ccxcomp(X4)
& rf(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> 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] :
( ~ cUnsatisfiable(sK3(X0))
| ~ cd(X0)
| ca_Vx3(X0) ),
inference(resolution,[],[f217,f141]) ).
fof(f217,plain,
! [X0] :
( ~ sP0(sK3(X0))
| ca_Vx3(X0)
| ~ cd(X0) ),
inference(resolution,[],[f212,f129]) ).
fof(f212,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| ~ sP0(X1)
| ca_Vx3(X0) ),
inference(resolution,[],[f135,f203]) ).
fof(f203,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rf(X1,X0) ),
inference(resolution,[],[f154,f143]) ).
fof(f143,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X3,X4] :
( rf(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f154,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f135,plain,
! [X0,X4] :
( ~ rinvR(X0,X4)
| ca_Vx3(X4)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f335,plain,
( ~ ca_Vx3(sK2(i2003_11_14_17_21_4056))
| ~ spl7_1 ),
inference(resolution,[],[f330,f127]) ).
fof(f330,plain,
( ~ cd(sK2(sK2(i2003_11_14_17_21_4056)))
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f327,f270]) ).
fof(f270,plain,
( cc(sK2(i2003_11_14_17_21_4056))
| ~ spl7_1 ),
inference(resolution,[],[f256,f131]) ).
fof(f131,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f327,plain,
( ~ cc(sK2(i2003_11_14_17_21_4056))
| ~ cd(sK2(sK2(i2003_11_14_17_21_4056)))
| ~ spl7_1 ),
inference(superposition,[],[f199,f280]) ).
fof(f280,plain,
( sK2(i2003_11_14_17_21_4056) = sK3(sK2(sK2(i2003_11_14_17_21_4056)))
| ~ spl7_1 ),
inference(resolution,[],[f279,f235]) ).
fof(f199,plain,
! [X0] :
( ~ cc(sK3(X0))
| ~ cd(X0) ),
inference(resolution,[],[f196,f130]) ).
fof(f130,plain,
! [X0] :
( ccxcomp(sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f196,plain,
! [X0] :
( ~ ccxcomp(X0)
| ~ cc(X0) ),
inference(resolution,[],[f133,f124]) ).
fof(f124,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( cc(X0)
| ra_Px1(X0,sK1(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f94,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( cc(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( cc(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( cc(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f133,plain,
! [X0] :
( ra_Px1(X0,sK4(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK4(X0))
| ~ ccxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f107,f108]) ).
fof(f108,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ccxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( ccxcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f309,plain,
spl7_4,
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl7_4 ),
inference(subsumption_resolution,[],[f307,f119]) ).
fof(f307,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| spl7_4 ),
inference(resolution,[],[f306,f141]) ).
fof(f306,plain,
( ~ sP0(i2003_11_14_17_21_4056)
| spl7_4 ),
inference(resolution,[],[f296,f137]) ).
fof(f296,plain,
( ~ cd(sK6(i2003_11_14_17_21_4056))
| spl7_4 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl7_4
<=> cd(sK6(i2003_11_14_17_21_4056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f302,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| spl7_3 ),
inference(subsumption_resolution,[],[f300,f119]) ).
fof(f300,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| spl7_3 ),
inference(resolution,[],[f298,f141]) ).
fof(f298,plain,
( ~ sP0(i2003_11_14_17_21_4056)
| spl7_3 ),
inference(resolution,[],[f291,f220]) ).
fof(f220,plain,
! [X0] :
( ca_Vx3(sK6(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ~ sP0(X0)
| ca_Vx3(sK6(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f212,f205]) ).
fof(f205,plain,
! [X0] :
( rf(sK6(X0),X0)
| ~ sP0(X0) ),
inference(resolution,[],[f155,f136]) ).
fof(f291,plain,
( ~ ca_Vx3(sK6(i2003_11_14_17_21_4056))
| spl7_3 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl7_3
<=> ca_Vx3(sK6(i2003_11_14_17_21_4056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f297,plain,
( spl7_3
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f288,f294,f290]) ).
fof(f288,plain,
( ~ cd(sK6(i2003_11_14_17_21_4056))
| ca_Vx3(sK6(i2003_11_14_17_21_4056)) ),
inference(subsumption_resolution,[],[f282,f119]) ).
fof(f282,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| ~ cd(sK6(i2003_11_14_17_21_4056))
| ca_Vx3(sK6(i2003_11_14_17_21_4056)) ),
inference(superposition,[],[f222,f281]) ).
fof(f281,plain,
i2003_11_14_17_21_4056 = sK3(sK6(i2003_11_14_17_21_4056)),
inference(resolution,[],[f245,f119]) ).
fof(f245,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(sK6(X0)) = X0 ),
inference(resolution,[],[f236,f141]) ).
fof(f236,plain,
! [X0] :
( ~ sP0(X0)
| sK3(sK6(X0)) = X0 ),
inference(subsumption_resolution,[],[f233,f137]) ).
fof(f233,plain,
! [X0] :
( sK3(sK6(X0)) = X0
| ~ cd(sK6(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f226,f205]) ).
fof(f269,plain,
( spl7_1
| ~ spl7_2 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f267,f261]) ).
fof(f261,plain,
( ca_Vx3(i2003_11_14_17_21_4056)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl7_2
<=> ca_Vx3(i2003_11_14_17_21_4056) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f267,plain,
( ~ ca_Vx3(i2003_11_14_17_21_4056)
| spl7_1 ),
inference(resolution,[],[f257,f127]) ).
fof(f257,plain,
( ~ cd(sK2(i2003_11_14_17_21_4056))
| spl7_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f265,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| spl7_2 ),
inference(subsumption_resolution,[],[f263,f119]) ).
fof(f263,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| spl7_2 ),
inference(resolution,[],[f260,f211]) ).
fof(f260,plain,
( ~ ca_Vx3(i2003_11_14_17_21_4056)
| spl7_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f249,f259,f255]) ).
fof(f249,plain,
( ca_Vx3(i2003_11_14_17_21_4056)
| ~ cd(sK2(i2003_11_14_17_21_4056)) ),
inference(superposition,[],[f216,f246]) ).
fof(f216,plain,
! [X0] :
( ca_Vx3(sK3(X0))
| ~ cd(X0) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ca_Vx3(sK3(X0))
| ~ cd(X0)
| ~ cd(X0) ),
inference(resolution,[],[f209,f129]) ).
fof(f209,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| ca_Vx3(X1)
| ~ cd(X0) ),
inference(resolution,[],[f128,f156]) ).
fof(f156,plain,
! [X0,X1] :
( rinvF(X0,X1)
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : KRS118+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 19:50:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (16214)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (16219)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)
% 0.12/0.36 % (16217)WARNING: value z3 for option sas not known
% 0.12/0.36 % (16218)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (16221)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)
% 0.12/0.36 % (16217)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)
% 0.12/0.36 % (16216)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (16220)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (16215)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [5]
% 0.12/0.37 % (16217)First to succeed.
% 0.12/0.37 TRYING [4]
% 0.12/0.37 % (16217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16214"
% 0.12/0.37 TRYING [6]
% 0.12/0.37 % (16217)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (16217)------------------------------
% 0.12/0.37 % (16217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (16217)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (16217)Memory used [KB]: 955
% 0.12/0.37 % (16217)Time elapsed: 0.009 s
% 0.12/0.37 % (16217)Instructions burned: 13 (million)
% 0.12/0.37 % (16214)Success in time 0.025 s
%------------------------------------------------------------------------------