TSTP Solution File: KRS104+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS104+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 : n003.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 17:30:49 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 142 ( 9 unt; 0 def)
% Number of atoms : 394 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 403 ( 151 ~; 149 |; 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 : 236 ( 184 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(resolution,[],[f244,f144]) ).
fof(f144,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/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f244,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(resolution,[],[f242,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ! [X1] : ~ ra_Px5(X0,X1) ),
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] :
( ~ ? [X1] : ra_Px5(X0,X1)
<=> cUnsatisfiable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f242,plain,
! [X0] : ra_Px5(X0,sK6(X0)),
inference(resolution,[],[f238,f113]) ).
fof(f113,plain,
! [X0] :
( ~ cUnsatisfiablexcomp(X0)
| ra_Px5(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ra_Px5(X0,sK6(X0))
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f68,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X2] : ra_Px5(X0,X2)
=> ra_Px5(X0,sK6(X0)) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X2] : ra_Px5(X0,X2)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X1] : ra_Px5(X0,X1)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,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/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f238,plain,
! [X0] : cUnsatisfiablexcomp(X0),
inference(subsumption_resolution,[],[f237,f221]) ).
fof(f221,plain,
! [X0] : ca_Cx7(X0),
inference(subsumption_resolution,[],[f220,f161]) ).
fof(f161,plain,
! [X2] :
( ca(X2)
| ca_Cx7(X2) ),
inference(resolution,[],[f153,f126]) ).
fof(f126,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ ca(X0)
| ~ cc(X0) )
& ( ( ca(X0)
& cc(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(flattening,[],[f77]) ).
fof(f77,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/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f153,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f111,f142]) ).
fof(f142,plain,
! [X2,X0] :
( ~ ra_Px7(X0,X2)
| ca_Cx7(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ra_Px7(X0,sK11(X0))
| ~ ca_Cx7(X0) )
& ( ca_Cx7(X0)
| ! [X2] : ~ ra_Px7(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f98,f99]) ).
fof(f99,plain,
! [X0] :
( ? [X1] : ra_Px7(X0,X1)
=> ra_Px7(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ( ? [X1] : ra_Px7(X0,X1)
| ~ ca_Cx7(X0) )
& ( ca_Cx7(X0)
| ! [X2] : ~ ra_Px7(X0,X2) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ? [X1] : ra_Px7(X0,X1)
| ~ ca_Cx7(X0) )
& ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] : ra_Px7(X0,X1)
<=> ca_Cx7(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ca_Cx7(X0)
<=> ? [X2] : ra_Px7(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f111,plain,
! [X0] :
( ra_Px7(X0,sK5(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px7(X0,X1)
| ~ ca_Cx7xcomp(X0) )
& ( ca_Cx7xcomp(X0)
| ra_Px7(X0,sK5(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f64,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X2] : ra_Px7(X0,X2)
=> ra_Px7(X0,sK5(X0)) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px7(X0,X1)
| ~ ca_Cx7xcomp(X0) )
& ( ca_Cx7xcomp(X0)
| ? [X2] : ra_Px7(X0,X2) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px7(X0,X1)
| ~ ca_Cx7xcomp(X0) )
& ( ca_Cx7xcomp(X0)
| ? [X1] : ra_Px7(X0,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] : ~ ra_Px7(X0,X1)
<=> ca_Cx7xcomp(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ~ ? [X1] : ra_Px7(X0,X1)
<=> ca_Cx7xcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f220,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f209,f131]) ).
fof(f131,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/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f209,plain,
! [X1] :
( ~ ca_Cx1(X1)
| ca_Cx7(X1) ),
inference(resolution,[],[f206,f124]) ).
fof(f124,plain,
! [X0] :
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) )
& ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) )
& ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( ccxcomp(X0)
& cbxcomp(X0) )
<=> ca_Cx1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f206,plain,
! [X0] :
( ~ ccxcomp(X0)
| ca_Cx7(X0) ),
inference(resolution,[],[f178,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) )
& ( ccxcomp(X0)
| ra_Px2(X0,sK3(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f56,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X2] : ra_Px2(X0,X2)
=> ra_Px2(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) )
& ( ccxcomp(X0)
| ? [X2] : ra_Px2(X0,X2) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) )
& ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] : ~ ra_Px2(X0,X1)
<=> ccxcomp(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ~ ? [X1] : ra_Px2(X0,X1)
<=> ccxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f178,plain,
! [X2] :
( ra_Px2(X2,sK2(X2))
| ca_Cx7(X2) ),
inference(resolution,[],[f162,f105]) ).
fof(f105,plain,
! [X0] :
( ~ cc(X0)
| ra_Px2(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ra_Px2(X0,sK2(X0))
| ~ cc(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f52,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X2] : ra_Px2(X0,X2)
=> ra_Px2(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X2] : ra_Px2(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X1] : ra_Px2(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cc(X0)
<=> ? [X1] : ra_Px2(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ? [X2] : ra_Px2(X0,X2)
<=> cc(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f162,plain,
! [X3] :
( cc(X3)
| ca_Cx7(X3) ),
inference(resolution,[],[f153,f125]) ).
fof(f125,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f237,plain,
! [X0] :
( ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(subsumption_resolution,[],[f236,f203]) ).
fof(f203,plain,
! [X0] : ca_Cx8(X0),
inference(subsumption_resolution,[],[f201,f148]) ).
fof(f148,plain,
! [X1] :
( cb(X1)
| ca_Cx8(X1) ),
inference(resolution,[],[f146,f129]) ).
fof(f129,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cb(X0)
| ~ cc(X0) )
& ( ( cb(X0)
& cc(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(flattening,[],[f79]) ).
fof(f79,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/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f146,plain,
! [X1] :
( ca_Cx8xcomp(X1)
| ca_Cx8(X1) ),
inference(resolution,[],[f103,f101]) ).
fof(f101,plain,
! [X2,X0] :
( ~ ra_Px8(X0,X2)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ra_Px8(X0,sK0(X0))
| ~ ca_Cx8xcomp(X0) )
& ( ca_Cx8xcomp(X0)
| ! [X2] : ~ ra_Px8(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1] : ra_Px8(X0,X1)
=> ra_Px8(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ( ? [X1] : ra_Px8(X0,X1)
| ~ ca_Cx8xcomp(X0) )
& ( ca_Cx8xcomp(X0)
| ! [X2] : ~ ra_Px8(X0,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( ? [X1] : ra_Px8(X0,X1)
| ~ ca_Cx8xcomp(X0) )
& ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] : ra_Px8(X0,X1)
<=> ca_Cx8xcomp(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ? [X2] : ra_Px8(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f103,plain,
! [X0] :
( ra_Px8(X0,sK1(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) )
& ( ca_Cx8(X0)
| ra_Px8(X0,sK1(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f48,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X2] : ra_Px8(X0,X2)
=> ra_Px8(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) )
& ( ca_Cx8(X0)
| ? [X2] : ra_Px8(X0,X2) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) )
& ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] : ~ ra_Px8(X0,X1)
<=> ca_Cx8(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ca_Cx8(X0)
<=> ~ ? [X1] : ra_Px8(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f201,plain,
! [X0] :
( ca_Cx8(X0)
| ~ cb(X0) ),
inference(resolution,[],[f197,f132]) ).
fof(f132,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ cb(X0)
| ccxcomp(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cb(X0)
=> ccxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f197,plain,
! [X0] :
( ~ ccxcomp(X0)
| ca_Cx8(X0) ),
inference(resolution,[],[f175,f108]) ).
fof(f175,plain,
! [X2] :
( ra_Px2(X2,sK2(X2))
| ca_Cx8(X2) ),
inference(resolution,[],[f149,f105]) ).
fof(f149,plain,
! [X2] :
( cc(X2)
| ca_Cx8(X2) ),
inference(resolution,[],[f146,f128]) ).
fof(f128,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f236,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) ),
inference(resolution,[],[f235,f118]) ).
fof(f118,plain,
! [X0] :
( ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ( ca_Cx7(X0)
& ca_Cx6(X0)
& ca_Cx8(X0) )
| ~ cUnsatisfiablexcomp(X0) )
& ( cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( ca_Cx7(X0)
& ca_Cx6(X0)
& ca_Cx8(X0) )
| ~ cUnsatisfiablexcomp(X0) )
& ( cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( ca_Cx7(X0)
& ca_Cx6(X0)
& ca_Cx8(X0) )
<=> cUnsatisfiablexcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f235,plain,
! [X0] : ca_Cx6(X0),
inference(subsumption_resolution,[],[f234,f164]) ).
fof(f164,plain,
! [X1] :
( ca(X1)
| ca_Cx6(X1) ),
inference(resolution,[],[f155,f115]) ).
fof(f115,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) )
& ( ( cb(X0)
& ca(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(flattening,[],[f71]) ).
fof(f71,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/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f155,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f134,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ra_Px6(X0,sK10(X0))
| ~ ca_Cx6xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f94,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X2] : ra_Px6(X0,X2)
=> ra_Px6(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X2] : ra_Px6(X0,X2)
| ~ ca_Cx6xcomp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f93,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] :
( ? [X2] : ra_Px6(X0,X2)
<=> ca_Cx6xcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f134,plain,
! [X0] :
( ra_Px6(X0,sK7(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( ca_Cx6(X0)
| ra_Px6(X0,sK7(X0)) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f82,f83]) ).
fof(f83,plain,
! [X0] :
( ? [X1] : ra_Px6(X0,X1)
=> ra_Px6(X0,sK7(X0)) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ( ca_Cx6(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( ca_Cx6(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X1] : ~ ra_Px6(X0,X1)
| ~ ca_Cx6(X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,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/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f234,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f213,f131]) ).
fof(f213,plain,
! [X1] :
( ~ ca_Cx1(X1)
| ca_Cx6(X1) ),
inference(resolution,[],[f210,f123]) ).
fof(f123,plain,
! [X0] :
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f210,plain,
! [X0] :
( ~ cbxcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f179,f137]) ).
fof(f137,plain,
! [X2,X0] :
( ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( cbxcomp(X0)
| ra_Px3(X0,sK9(X0)) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f90,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] : ra_Px3(X0,X1)
=> ra_Px3(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( cbxcomp(X0)
<=> ! [X1] : ~ ra_Px3(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ~ ? [X1] : ra_Px3(X0,X1)
<=> cbxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f179,plain,
! [X0] :
( ra_Px3(X0,sK8(X0))
| ca_Cx6(X0) ),
inference(resolution,[],[f163,f136]) ).
fof(f136,plain,
! [X0] :
( ~ cb(X0)
| ra_Px3(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ra_Px3(X0,sK8(X0))
| ~ cb(X0) )
& ( cb(X0)
| ! [X2] : ~ ra_Px3(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f86,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] : ra_Px3(X0,X1)
=> ra_Px3(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ( ? [X1] : ra_Px3(X0,X1)
| ~ cb(X0) )
& ( cb(X0)
| ! [X2] : ~ ra_Px3(X0,X2) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( ? [X1] : ra_Px3(X0,X1)
| ~ cb(X0) )
& ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] : ra_Px3(X0,X1)
<=> cb(X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cb(X0)
<=> ? [X2] : ra_Px3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f163,plain,
! [X0] :
( cb(X0)
| ca_Cx6(X0) ),
inference(resolution,[],[f155,f116]) ).
fof(f116,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:33:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (16223)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)
% 0.21/0.51 % (16231)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)
% 0.21/0.52 % (16207)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)
% 0.21/0.52 % (16215)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (16231)First to succeed.
% 0.21/0.52 % (16212)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (16223)Also succeeded, but the first one will report.
% 0.21/0.52 % (16231)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (16231)------------------------------
% 0.21/0.53 % (16231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (16231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (16231)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (16231)Memory used [KB]: 5500
% 0.21/0.53 % (16231)Time elapsed: 0.066 s
% 0.21/0.53 % (16231)Instructions burned: 5 (million)
% 0.21/0.53 % (16231)------------------------------
% 0.21/0.53 % (16231)------------------------------
% 0.21/0.53 % (16206)Success in time 0.173 s
%------------------------------------------------------------------------------