TSTP Solution File: KRS104+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS104+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 : n020.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 07:19:32 EDT 2024
% Result : Unsatisfiable 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of formulae : 141 ( 9 unt; 0 def)
% Number of atoms : 392 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 408 ( 157 ~; 148 |; 61 &)
% ( 28 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 235 ( 183 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(resolution,[],[f204,f101]) ).
fof(f101,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f204,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(resolution,[],[f203,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] : ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ~ ? [X1] : ra_Px5(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ~ ? [X1] : ra_Px5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f203,plain,
! [X0] : ra_Px5(X0,sK5(X0)),
inference(resolution,[],[f202,f127]) ).
fof(f127,plain,
! [X0] :
( ~ cUnsatisfiablexcomp(X0)
| ra_Px5(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ra_Px5(X0,sK5(X0))
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X2] : ra_Px5(X0,X2)
=> ra_Px5(X0,sK5(X0)) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X2] : ra_Px5(X0,X2)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X1] : ra_Px5(X0,X1)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ? [X1] : ra_Px5(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ? [X2] : ra_Px5(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f202,plain,
! [X0] : cUnsatisfiablexcomp(X0),
inference(subsumption_resolution,[],[f195,f197]) ).
fof(f197,plain,
! [X0] : ca_Cx7(X0),
inference(subsumption_resolution,[],[f196,f147]) ).
fof(f147,plain,
! [X0] :
( ca(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f145,f109]) ).
fof(f109,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ ca(X0)
| ~ cc(X0) )
& ( ( ca(X0)
& cc(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ ca(X0)
| ~ cc(X0) )
& ( ( ca(X0)
& cc(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ( ca(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f145,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f118,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ra_Px7(X0,sK7(X0))
| ~ ca_Cx7(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f80,f81]) ).
fof(f81,plain,
! [X0] :
( ? [X2] : ra_Px7(X0,X2)
=> ra_Px7(X0,sK7(X0)) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X2] : ra_Px7(X0,X2)
| ~ ca_Cx7(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X1] : ra_Px7(X0,X1)
| ~ ca_Cx7(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ca_Cx7(X0)
<=> ? [X1] : ra_Px7(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ca_Cx7(X0)
<=> ? [X2] : ra_Px7(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f118,plain,
! [X0] :
( ra_Px7(X0,sK0(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ra_Px7(X0,sK0(X0)) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ ca_Cx7xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] : ra_Px7(X0,X1)
=> ra_Px7(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ ca_Cx7xcomp(X0) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X1] : ~ ra_Px7(X0,X1)
| ~ ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ! [X1] : ~ ra_Px7(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ~ ? [X1] : ra_Px7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f196,plain,
! [X0] :
( ca_Cx7(X0)
| ~ ca(X0) ),
inference(resolution,[],[f189,f102]) ).
fof(f102,plain,
! [X0] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ca(X0)
=> ca_Cx1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f189,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f171,f139]) ).
fof(f139,plain,
! [X0] :
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) )
& ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) )
& ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ca_Cx1(X0)
<=> ( ccxcomp(X0)
& cbxcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f171,plain,
! [X0] :
( ~ ccxcomp(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f168,f148]) ).
fof(f148,plain,
! [X0] :
( cc(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f145,f108]) ).
fof(f108,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f168,plain,
! [X0] :
( ~ cc(X0)
| ~ ccxcomp(X0) ),
inference(resolution,[],[f133,f141]) ).
fof(f141,plain,
! [X2,X0] :
( ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( ccxcomp(X0)
| ra_Px2(X0,sK10(X0)) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f94,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1] : ra_Px2(X0,X1)
=> ra_Px2(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X1] : ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ccxcomp(X0)
<=> ! [X1] : ~ ra_Px2(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ccxcomp(X0)
<=> ~ ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f133,plain,
! [X0] :
( ra_Px2(X0,sK8(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ra_Px2(X0,sK8(X0))
| ~ cc(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f84,f85]) ).
fof(f85,plain,
! [X0] :
( ? [X2] : ra_Px2(X0,X2)
=> ra_Px2(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X2] : ra_Px2(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X1] : ra_Px2(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cc(X0)
<=> ? [X1] : ra_Px2(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( cc(X0)
<=> ? [X2] : ra_Px2(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f195,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0) ),
inference(resolution,[],[f194,f188]) ).
fof(f188,plain,
! [X0] :
( ~ ca_Cx6(X0)
| cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0) ),
inference(subsumption_resolution,[],[f107,f181]) ).
fof(f181,plain,
! [X0] : ca_Cx8(X0),
inference(subsumption_resolution,[],[f180,f151]) ).
fof(f151,plain,
! [X0] :
( cb(X0)
| ca_Cx8(X0) ),
inference(resolution,[],[f149,f112]) ).
fof(f112,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cb(X0)
| ~ cc(X0) )
& ( ( cb(X0)
& cc(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cb(X0)
| ~ cc(X0) )
& ( ( cb(X0)
& cc(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ( cb(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f149,plain,
! [X0] :
( ca_Cx8xcomp(X0)
| ca_Cx8(X0) ),
inference(resolution,[],[f120,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ra_Px8(X0,sK4(X0))
| ~ ca_Cx8xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f68,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X2] : ra_Px8(X0,X2)
=> ra_Px8(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X2] : ra_Px8(X0,X2)
| ~ ca_Cx8xcomp(X0) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X1] : ra_Px8(X0,X1)
| ~ ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ? [X1] : ra_Px8(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ? [X2] : ra_Px8(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f120,plain,
! [X0] :
( ra_Px8(X0,sK1(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( ca_Cx8(X0)
| ra_Px8(X0,sK1(X0)) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f56,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] : ra_Px8(X0,X1)
=> ra_Px8(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X1] : ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ca_Cx8(X0)
<=> ! [X1] : ~ ra_Px8(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ca_Cx8(X0)
<=> ~ ? [X1] : ra_Px8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f180,plain,
! [X0] :
( ca_Cx8(X0)
| ~ cb(X0) ),
inference(resolution,[],[f170,f103]) ).
fof(f103,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cb(X0)
=> ccxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f170,plain,
! [X0] :
( ~ ccxcomp(X0)
| ca_Cx8(X0) ),
inference(resolution,[],[f168,f152]) ).
fof(f152,plain,
! [X0] :
( cc(X0)
| ca_Cx8(X0) ),
inference(resolution,[],[f149,f111]) ).
fof(f111,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f107,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) )
& ( ( ca_Cx6(X0)
& ca_Cx8(X0)
& ca_Cx7(X0) )
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) )
& ( ( ca_Cx6(X0)
& ca_Cx8(X0)
& ca_Cx7(X0) )
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ( ca_Cx6(X0)
& ca_Cx8(X0)
& ca_Cx7(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f194,plain,
! [X0] : ca_Cx6(X0),
inference(subsumption_resolution,[],[f192,f158]) ).
fof(f158,plain,
! [X0] :
( ca(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f155,f114]) ).
fof(f114,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) )
& ( ( cb(X0)
& ca(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) )
& ( ( cb(X0)
& ca(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ( cb(X0)
& ca(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f155,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f124,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ra_Px6(X0,sK6(X0))
| ~ ca_Cx6xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X2] : ra_Px6(X0,X2)
=> ra_Px6(X0,sK6(X0)) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X2] : ra_Px6(X0,X2)
| ~ ca_Cx6xcomp(X0) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X1] : ra_Px6(X0,X1)
| ~ ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ? [X1] : ra_Px6(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ? [X2] : ra_Px6(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f124,plain,
! [X0] :
( ra_Px6(X0,sK3(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ca_Cx6(X0)
| ra_Px6(X0,sK3(X0)) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f64,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] : ra_Px6(X0,X1)
=> ra_Px6(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ( ca_Cx6(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ca_Cx6(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X1] : ~ ra_Px6(X0,X1)
| ~ ca_Cx6(X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ca_Cx6(X0)
<=> ! [X1] : ~ ra_Px6(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ca_Cx6(X0)
<=> ~ ? [X1] : ra_Px6(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f192,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f178,f157]) ).
fof(f157,plain,
! [X0] :
( cb(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f155,f115]) ).
fof(f115,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f178,plain,
! [X0] :
( ~ cb(X0)
| ~ ca(X0) ),
inference(resolution,[],[f175,f102]) ).
fof(f175,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ~ cb(X0) ),
inference(resolution,[],[f173,f138]) ).
fof(f138,plain,
! [X0] :
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f173,plain,
! [X0] :
( ~ cbxcomp(X0)
| ~ cb(X0) ),
inference(resolution,[],[f135,f121]) ).
fof(f121,plain,
! [X2,X0] :
( ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( cbxcomp(X0)
| ra_Px3(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f60,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] : ra_Px3(X0,X1)
=> ra_Px3(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( cbxcomp(X0)
<=> ! [X1] : ~ ra_Px3(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( cbxcomp(X0)
<=> ~ ? [X1] : ra_Px3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f135,plain,
! [X0] :
( ra_Px3(X0,sK9(X0))
| ~ cb(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ra_Px3(X0,sK9(X0))
| ~ cb(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f88,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X2] : ra_Px3(X0,X2)
=> ra_Px3(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X2] : ra_Px3(X0,X2)
| ~ cb(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X1] : ra_Px3(X0,X1)
| ~ cb(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cb(X0)
<=> ? [X1] : ra_Px3(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cb(X0)
<=> ? [X2] : ra_Px3(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n020.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 : Fri May 3 19:51:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (12690)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (12696)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37 % (12692)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (12694)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37 % (12693)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37 % (12695)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37 % (12697)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 % (12691)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.20/0.37 TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2,2,1,1,1,1,1,1,1,1]
% 0.20/0.37 TRYING [2,2,1,1,1,1,1,1,1,1]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (12695)Also succeeded, but the first one will report.
% 0.20/0.37 % (12696)First to succeed.
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [2,1,2,1,1,1,1,1,1,1]
% 0.20/0.37 TRYING [2,1,2,1,1,1,1,1,1,1]
% 0.20/0.37 % (12693)Also succeeded, but the first one will report.
% 0.20/0.37 % (12691)Also succeeded, but the first one will report.
% 0.20/0.37 TRYING [2,1,1,2,1,1,1,1,1,1]
% 0.20/0.37 TRYING [2,1,1,2,1,1,1,1,1,1]
% 0.20/0.37 % (12697)Also succeeded, but the first one will report.
% 0.20/0.37 TRYING [2,1,1,1,2,1,1,1,1,1]
% 0.20/0.37 TRYING [2,1,1,1,2,1,1,1,1,1]
% 0.20/0.37 TRYING [2,1,1,1,1,2,1,1,1,1]
% 0.20/0.37 TRYING [2,1,1,1,1,2,1,1,1,1]
% 0.20/0.37 TRYING [2,2,1,1,1,2,1,1,1,1]
% 0.20/0.37 TRYING [2,2,1,1,1,2,1,1,1,1]
% 0.20/0.37 % (12696)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12690"
% 0.20/0.37 TRYING [2,1,2,1,1,2,1,1,1,1]
% 0.20/0.37 TRYING [2,1,2,1,1,2,1,1,1,1]
% 0.20/0.38 % (12696)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (12696)------------------------------
% 0.20/0.38 % (12696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (12696)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (12696)Memory used [KB]: 836
% 0.20/0.38 % (12696)Time elapsed: 0.006 s
% 0.20/0.38 % (12696)Instructions burned: 8 (million)
% 0.20/0.38 % (12690)Success in time 0.01 s
%------------------------------------------------------------------------------