TSTP Solution File: KRS104+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS104+1 : TPTP v8.2.0. 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 : n029.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 : Mon May 20 23:20:06 EDT 2024
% Result : Unsatisfiable 0.49s 0.65s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 31
% Syntax : Number of formulae : 148 ( 6 unt; 0 def)
% Number of atoms : 441 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 440 ( 147 ~; 190 |; 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 : 243 ( 191 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f247,plain,
$false,
inference(resolution,[],[f246,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(f246,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(resolution,[],[f233,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f233,plain,
! [X0] : ra_Px5(X0,sK0(X0)),
inference(resolution,[],[f232,f106]) ).
fof(f106,plain,
! [X0] :
( ~ cUnsatisfiablexcomp(X0)
| ra_Px5(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ra_Px5(X0,sK0(X0))
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f46,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X2] : ra_Px5(X0,X2)
=> ra_Px5(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X2] : ra_Px5(X0,X2)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X1] : ra_Px5(X0,X1)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,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(f232,plain,
! [X0] : cUnsatisfiablexcomp(X0),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f230,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f228,f212]) ).
fof(f212,plain,
! [X0] :
( cbxcomp(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f209,f118]) ).
fof(f118,plain,
! [X0] :
( ~ ca_Cx1(X0)
| cbxcomp(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) )
& ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(flattening,[],[f65]) ).
fof(f65,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/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f209,plain,
! [X0] :
( ca_Cx1(X0)
| cUnsatisfiablexcomp(X0) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ca_Cx1(X0)
| ca_Cx1(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f205,f189]) ).
fof(f189,plain,
! [X0] :
( ccxcomp(X0)
| ca_Cx1(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f186,f111]) ).
fof(f111,plain,
! [X0] :
( ~ cb(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cb(X0)
=> ccxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f186,plain,
! [X0] :
( cb(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx1(X0) ),
inference(duplicate_literal_removal,[],[f184]) ).
fof(f184,plain,
! [X0] :
( cb(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx1(X0)
| cb(X0) ),
inference(resolution,[],[f176,f126]) ).
fof(f126,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) )
& ( ( cb(X0)
& ca(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(flattening,[],[f75]) ).
fof(f75,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(f176,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx1(X0) ),
inference(resolution,[],[f160,f108]) ).
fof(f108,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx1(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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(f160,plain,
! [X0] :
( ca(X0)
| ca_Cx6xcomp(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f157,f133]) ).
fof(f133,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ ca(X0)
| ~ cc(X0) )
& ( ( ca(X0)
& cc(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(flattening,[],[f85]) ).
fof(f85,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(f157,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| cb(X0) ),
inference(resolution,[],[f155,f142]) ).
fof(f142,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cb(X0)
| ~ cc(X0) )
& ( ( cb(X0)
& cc(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(flattening,[],[f99]) ).
fof(f99,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(f155,plain,
! [X0] :
( ca_Cx8xcomp(X0)
| ca_Cx6xcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx7xcomp(X0) ),
inference(resolution,[],[f153,f136]) ).
fof(f136,plain,
! [X0] :
( ra_Px7(X0,sK9(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ra_Px7(X0,sK9(X0)) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ ca_Cx7xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f88,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] : ra_Px7(X0,X1)
=> ra_Px7(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ ca_Cx7xcomp(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X1] : ~ ra_Px7(X0,X1)
| ~ ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,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/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f153,plain,
! [X0,X1] :
( ~ ra_Px7(X0,X1)
| ca_Cx6xcomp(X0)
| ca_Cx8xcomp(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f152,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ca_Cx7(X0)
| ~ ra_Px7(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ra_Px7(X0,sK8(X0))
| ~ ca_Cx7(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f82,f83]) ).
fof(f83,plain,
! [X0] :
( ? [X2] : ra_Px7(X0,X2)
=> ra_Px7(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X2] : ra_Px7(X0,X2)
| ~ ca_Cx7(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X1] : ra_Px7(X0,X1)
| ~ ca_Cx7(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,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/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f152,plain,
! [X0] :
( ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| ca_Cx8xcomp(X0) ),
inference(resolution,[],[f150,f148]) ).
fof(f148,plain,
! [X0] :
( ca_Cx8(X0)
| ca_Cx8xcomp(X0) ),
inference(resolution,[],[f138,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ra_Px8(X0,sK11(X0))
| ~ ca_Cx8xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f96,f97]) ).
fof(f97,plain,
! [X0] :
( ? [X2] : ra_Px8(X0,X2)
=> ra_Px8(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X2] : ra_Px8(X0,X2)
| ~ ca_Cx8xcomp(X0) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X1] : ra_Px8(X0,X1)
| ~ ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,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/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f138,plain,
! [X0] :
( ra_Px8(X0,sK10(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ca_Cx8(X0)
| ra_Px8(X0,sK10(X0)) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] : ra_Px8(X0,X1)
=> ra_Px8(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X1] : ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,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/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f150,plain,
! [X0] :
( ~ ca_Cx8(X0)
| cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0)
| ca_Cx6xcomp(X0) ),
inference(resolution,[],[f105,f146]) ).
fof(f146,plain,
! [X0] :
( ca_Cx6(X0)
| ca_Cx6xcomp(X0) ),
inference(resolution,[],[f124,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ra_Px6(X0,sK7(X0))
| ~ ca_Cx6xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f78,f79]) ).
fof(f79,plain,
! [X0] :
( ? [X2] : ra_Px6(X0,X2)
=> ra_Px6(X0,sK7(X0)) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X2] : ra_Px6(X0,X2)
| ~ ca_Cx6xcomp(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X1] : ra_Px6(X0,X1)
| ~ ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,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/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f124,plain,
! [X0] :
( ra_Px6(X0,sK6(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ca_Cx6(X0)
| ra_Px6(X0,sK6(X0)) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] : ra_Px6(X0,X1)
=> ra_Px6(X0,sK6(X0)) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( ca_Cx6(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f71,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/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f105,plain,
! [X0] :
( ~ ca_Cx6(X0)
| cUnsatisfiablexcomp(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/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f205,plain,
! [X0] :
( ~ ccxcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx1(X0) ),
inference(resolution,[],[f175,f116]) ).
fof(f116,plain,
! [X2,X0] :
( ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ccxcomp(X0)
| ra_Px2(X0,sK4(X0)) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f62,f63]) ).
fof(f63,plain,
! [X0] :
( ? [X1] : ra_Px2(X0,X1)
=> ra_Px2(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X1] : ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,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/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f175,plain,
! [X0] :
( ra_Px2(X0,sK3(X0))
| ca_Cx1(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f172,f114]) ).
fof(f114,plain,
! [X0] :
( ~ cc(X0)
| ra_Px2(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ra_Px2(X0,sK3(X0))
| ~ cc(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f58,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X2] : ra_Px2(X0,X2)
=> ra_Px2(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X2] : ra_Px2(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X1] : ra_Px2(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f172,plain,
! [X0] :
( cc(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx1(X0) ),
inference(resolution,[],[f168,f108]) ).
fof(f168,plain,
! [X0] :
( ca(X0)
| cc(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f165,f125]) ).
fof(f125,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f165,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| cUnsatisfiablexcomp(X0)
| cc(X0) ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| cc(X0)
| cc(X0) ),
inference(resolution,[],[f158,f132]) ).
fof(f132,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f158,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| cc(X0) ),
inference(resolution,[],[f155,f141]) ).
fof(f141,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f228,plain,
! [X0] :
( ~ cbxcomp(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f221,f112]) ).
fof(f112,plain,
! [X2,X0] :
( ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( cbxcomp(X0)
| ra_Px3(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f54,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] : ra_Px3(X0,X1)
=> ra_Px3(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,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/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f221,plain,
! [X0] :
( ra_Px3(X0,sK1(X0))
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f216,f109]) ).
fof(f109,plain,
! [X0] :
( ~ cb(X0)
| ra_Px3(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ra_Px3(X0,sK1(X0))
| ~ cb(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f50,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X2] : ra_Px3(X0,X2)
=> ra_Px3(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X2] : ra_Px3(X0,X2)
| ~ cb(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X1] : ra_Px3(X0,X1)
| ~ cb(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,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/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f216,plain,
! [X0] :
( cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0) ),
inference(resolution,[],[f211,f195]) ).
fof(f195,plain,
! [X0] :
( ~ ccxcomp(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0) ),
inference(resolution,[],[f171,f116]) ).
fof(f171,plain,
! [X0] :
( ra_Px2(X0,sK3(X0))
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f167,f114]) ).
fof(f167,plain,
! [X0] :
( cc(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0) ),
inference(resolution,[],[f165,f126]) ).
fof(f211,plain,
! [X0] :
( ccxcomp(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f209,f119]) ).
fof(f119,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS104+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.14 % 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
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 22:09:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_UNS_RFO_NEQ problem
% 0.15/0.36 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/benchmark/theBenchmark.p
% 0.49/0.65 % (9664)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 theBenchmark for (2997ds/83Mi)
% 0.49/0.65 % (9664)Refutation not found, incomplete strategy% (9664)------------------------------
% 0.49/0.65 % (9664)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9664)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9664)Memory used [KB]: 951
% 0.49/0.65 % (9664)Time elapsed: 0.001 s
% 0.49/0.65 % (9664)Instructions burned: 2 (million)
% 0.49/0.65 % (9664)------------------------------
% 0.49/0.65 % (9664)------------------------------
% 0.49/0.65 % (9665)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.49/0.65 % (9665)Refutation not found, incomplete strategy% (9665)------------------------------
% 0.49/0.65 % (9665)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9665)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9665)Memory used [KB]: 951
% 0.49/0.65 % (9665)Time elapsed: 0.002 s
% 0.49/0.65 % (9665)Instructions burned: 2 (million)
% 0.49/0.65 % (9659)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 theBenchmark for (2997ds/51Mi)
% 0.49/0.65 % (9665)------------------------------
% 0.49/0.65 % (9665)------------------------------
% 0.49/0.65 % (9661)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.49/0.65 % (9661)Refutation not found, incomplete strategy% (9661)------------------------------
% 0.49/0.65 % (9661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9661)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9661)Memory used [KB]: 951
% 0.49/0.65 % (9661)Time elapsed: 0.003 s
% 0.49/0.65 % (9661)Instructions burned: 2 (million)
% 0.49/0.65 % (9661)------------------------------
% 0.49/0.65 % (9661)------------------------------
% 0.49/0.65 % (9658)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 theBenchmark for (2997ds/34Mi)
% 0.49/0.65 % (9663)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.49/0.65 % (9663)Refutation not found, incomplete strategy% (9663)------------------------------
% 0.49/0.65 % (9663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9663)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9663)Memory used [KB]: 951
% 0.49/0.65 % (9663)Time elapsed: 0.001 s
% 0.49/0.65 % (9663)Instructions burned: 2 (million)
% 0.49/0.65 % (9658)Refutation not found, incomplete strategy% (9658)------------------------------
% 0.49/0.65 % (9658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9658)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9658)Memory used [KB]: 951
% 0.49/0.65 % (9658)Time elapsed: 0.002 s
% 0.49/0.65 % (9658)Instructions burned: 2 (million)
% 0.49/0.65 % (9663)------------------------------
% 0.49/0.65 % (9663)------------------------------
% 0.49/0.65 % (9660)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.49/0.65 % (9658)------------------------------
% 0.49/0.65 % (9658)------------------------------
% 0.49/0.65 % (9667)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 theBenchmark for (2997ds/55Mi)
% 0.49/0.65 % (9660)Refutation not found, incomplete strategy% (9660)------------------------------
% 0.49/0.65 % (9660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9660)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9660)Memory used [KB]: 950
% 0.49/0.65 % (9660)Time elapsed: 0.002 s
% 0.49/0.65 % (9660)Instructions burned: 2 (million)
% 0.49/0.65 % (9660)------------------------------
% 0.49/0.65 % (9660)------------------------------
% 0.49/0.65 % (9668)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 theBenchmark for (2997ds/50Mi)
% 0.49/0.65 % (9659)First to succeed.
% 0.49/0.65 % (9662)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 theBenchmark for (2997ds/34Mi)
% 0.49/0.65 % (9667)Refutation not found, incomplete strategy% (9667)------------------------------
% 0.49/0.65 % (9667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9667)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9667)Memory used [KB]: 1037
% 0.49/0.65 % (9667)Time elapsed: 0.003 s
% 0.49/0.65 % (9667)Instructions burned: 3 (million)
% 0.49/0.65 % (9670)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 theBenchmark for (2997ds/52Mi)
% 0.49/0.65 % (9668)Refutation not found, incomplete strategy% (9668)------------------------------
% 0.49/0.65 % (9668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9662)Refutation not found, incomplete strategy% (9662)------------------------------
% 0.49/0.65 % (9662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9668)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65 % (9662)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65
% 0.49/0.65 % (9668)Memory used [KB]: 1033
% 0.49/0.65 % (9662)Memory used [KB]: 1032
% 0.49/0.65 % (9667)------------------------------
% 0.49/0.65 % (9667)------------------------------
% 0.49/0.65 % (9668)Time elapsed: 0.002 s
% 0.49/0.65 % (9662)Time elapsed: 0.002 s
% 0.49/0.65 % (9668)Instructions burned: 3 (million)
% 0.49/0.65 % (9662)Instructions burned: 3 (million)
% 0.49/0.65 % (9670)Refutation not found, incomplete strategy% (9670)------------------------------
% 0.49/0.65 % (9670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9670)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9670)Memory used [KB]: 951
% 0.49/0.65 % (9670)Time elapsed: 0.001 s
% 0.49/0.65 % (9670)Instructions burned: 2 (million)
% 0.49/0.65 % (9662)------------------------------
% 0.49/0.65 % (9662)------------------------------
% 0.49/0.65 % (9668)------------------------------
% 0.49/0.65 % (9668)------------------------------
% 0.49/0.65 % (9670)------------------------------
% 0.49/0.65 % (9670)------------------------------
% 0.49/0.65 % (9669)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2997ds/208Mi)
% 0.49/0.65 % (9659)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9657"
% 0.49/0.65 % (9669)Refutation not found, incomplete strategy% (9669)------------------------------
% 0.49/0.65 % (9669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9669)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65
% 0.49/0.65 % (9669)Memory used [KB]: 951
% 0.49/0.65 % (9669)Time elapsed: 0.003 s
% 0.49/0.65 % (9669)Instructions burned: 2 (million)
% 0.49/0.65 % (9659)Refutation found. Thanks to Tanya!
% 0.49/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.49/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.65 % (9659)------------------------------
% 0.49/0.65 % (9659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65 % (9659)Termination reason: Refutation
% 0.49/0.65
% 0.49/0.65 % (9659)Memory used [KB]: 1067
% 0.49/0.65 % (9659)Time elapsed: 0.007 s
% 0.49/0.65 % (9659)Instructions burned: 9 (million)
% 0.49/0.65 % (9657)Success in time 0.285 s
% 0.49/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------