TSTP Solution File: KRS104+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Fri May 3 02:33:38 EDT 2024
% Result : Unsatisfiable 1.04s 1.19s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 165 ( 14 unt; 0 def)
% Number of atoms : 439 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 472 ( 198 ~; 171 |; 61 &)
% ( 28 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 267 ( 16 sgn 162 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ~ ? [X1] : ra_Px5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
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(f5,axiom,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ? [X2] : ra_Px5(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( ca(X0)
=> ca_Cx1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cb(X0)
<=> ? [X2] : ra_Px3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cb(X0)
=> ccxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cbxcomp(X0)
<=> ~ ? [X1] : ra_Px3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cc(X0)
<=> ? [X2] : ra_Px2(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( ccxcomp(X0)
<=> ~ ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0] :
( ca_Cx1(X0)
<=> ( ccxcomp(X0)
& cbxcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f15,axiom,
! [X0] :
( ca_Cx6(X0)
<=> ~ ? [X1] : ra_Px6(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ( cb(X0)
& ca(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f17,axiom,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ? [X2] : ra_Px6(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f18,axiom,
! [X0] :
( ca_Cx7(X0)
<=> ? [X2] : ra_Px7(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ( ca(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f20,axiom,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ~ ? [X1] : ra_Px7(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f21,axiom,
! [X0] :
( ca_Cx8(X0)
<=> ~ ? [X1] : ra_Px8(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ? [X2] : ra_Px8(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ( cb(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f25,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ? [X1] : ra_Px5(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f26,plain,
! [X0] :
( cb(X0)
<=> ? [X1] : ra_Px3(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f27,plain,
! [X0] :
( cc(X0)
<=> ? [X1] : ra_Px2(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f29,plain,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ? [X1] : ra_Px6(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f30,plain,
! [X0] :
( ca_Cx7(X0)
<=> ? [X1] : ra_Px7(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f31,plain,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ? [X1] : ra_Px8(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f32,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ~ ? [X1] : ra_Px5(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f35,plain,
! [X0] :
( ! [X1] : ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f36,plain,
! [X0] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0] :
( cbxcomp(X0)
<=> ! [X1] : ~ ra_Px3(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] :
( ccxcomp(X0)
<=> ! [X1] : ~ ra_Px2(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] :
( ca_Cx6(X0)
<=> ! [X1] : ~ ra_Px6(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f41,plain,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ! [X1] : ~ ra_Px7(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0] :
( ca_Cx8(X0)
<=> ! [X1] : ~ ra_Px8(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
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(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(f45,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X1] : ra_Px5(X0,X1)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X2] : ra_Px5(X0,X2)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ? [X2] : ra_Px5(X0,X2)
=> ra_Px5(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
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(f49,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X1] : ra_Px3(X0,X1)
| ~ cb(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f50,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X2] : ra_Px3(X0,X2)
| ~ cb(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ? [X2] : ra_Px3(X0,X2)
=> ra_Px3(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
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(f53,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X0] :
( ( cbxcomp(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ? [X1] : ra_Px3(X0,X1)
=> ra_Px3(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
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(f57,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X1] : ra_Px2(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f58,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X2] : ra_Px2(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ? [X2] : ra_Px2(X0,X2)
=> ra_Px2(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
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(f61,plain,
! [X0] :
( ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X1] : ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0] :
( ( ccxcomp(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ? [X1] : ra_Px2(X0,X1)
=> ra_Px2(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
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(f65,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) )
& ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f66,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ ccxcomp(X0)
| ~ cbxcomp(X0) )
& ( ( ccxcomp(X0)
& cbxcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(flattening,[],[f65]) ).
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(f72,plain,
! [X0] :
( ( ca_Cx6(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ? [X1] : ra_Px6(X0,X1)
=> ra_Px6(X0,sK6(X0)) ),
introduced(choice_axiom,[]) ).
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(f75,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) )
& ( ( cb(X0)
& ca(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f76,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) )
& ( ( cb(X0)
& ca(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(flattening,[],[f75]) ).
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(f78,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X2] : ra_Px6(X0,X2)
| ~ ca_Cx6xcomp(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ? [X2] : ra_Px6(X0,X2)
=> ra_Px6(X0,sK7(X0)) ),
introduced(choice_axiom,[]) ).
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(f81,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X1] : ra_Px7(X0,X1)
| ~ ca_Cx7(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f82,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X2] : ra_Px7(X0,X2)
| ~ ca_Cx7(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ? [X2] : ra_Px7(X0,X2)
=> ra_Px7(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
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(f85,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ ca(X0)
| ~ cc(X0) )
& ( ( ca(X0)
& cc(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f86,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ ca(X0)
| ~ cc(X0) )
& ( ( ca(X0)
& cc(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(flattening,[],[f85]) ).
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(f88,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ ca_Cx7xcomp(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ? [X1] : ra_Px7(X0,X1)
=> ra_Px7(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
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(f91,plain,
! [X0] :
( ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X1] : ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f92,plain,
! [X0] :
( ( ca_Cx8(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ? [X1] : ra_Px8(X0,X1)
=> ra_Px8(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
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(f95,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X1] : ra_Px8(X0,X1)
| ~ ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f96,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X2] : ra_Px8(X0,X2)
| ~ ca_Cx8xcomp(X0) ) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ? [X2] : ra_Px8(X0,X2)
=> ra_Px8(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
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(f99,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cb(X0)
| ~ cc(X0) )
& ( ( cb(X0)
& cc(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f100,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cb(X0)
| ~ cc(X0) )
& ( ( cb(X0)
& cc(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f105,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f106,plain,
! [X0] :
( ra_Px5(X0,sK0(X0))
| ~ cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f108,plain,
! [X0] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f109,plain,
! [X0] :
( ra_Px3(X0,sK1(X0))
| ~ cb(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f111,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f112,plain,
! [X2,X0] :
( ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f114,plain,
! [X0] :
( ra_Px2(X0,sK3(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f116,plain,
! [X2,X0] :
( ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f118,plain,
! [X0] :
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f119,plain,
! [X0] :
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f123,plain,
! [X2,X0] :
( ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f124,plain,
! [X0] :
( ca_Cx6(X0)
| ra_Px6(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f125,plain,
! [X0] :
( ca(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
! [X0] :
( cb(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f127,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f128,plain,
! [X0] :
( ra_Px6(X0,sK7(X0))
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f129,plain,
! [X0,X1] :
( ca_Cx6xcomp(X0)
| ~ ra_Px6(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f131,plain,
! [X0,X1] :
( ca_Cx7(X0)
| ~ ra_Px7(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f132,plain,
! [X0] :
( cc(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f133,plain,
! [X0] :
( ca(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f136,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| ra_Px7(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f137,plain,
! [X2,X0] :
( ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f138,plain,
! [X0] :
( ca_Cx8(X0)
| ra_Px8(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f140,plain,
! [X0,X1] :
( ca_Cx8xcomp(X0)
| ~ ra_Px8(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f141,plain,
! [X0] :
( cc(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f142,plain,
! [X0] :
( cb(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f144,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[],[f24]) ).
cnf(c_49,plain,
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_50,plain,
( ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_55,plain,
( ~ cUnsatisfiablexcomp(X0)
| ra_Px5(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_56,plain,
( ~ ca(X0)
| ca_Cx1(X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_58,plain,
( ~ cb(X0)
| ra_Px3(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_59,plain,
( ~ cb(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_61,plain,
( ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_63,plain,
( ~ cc(X0)
| ra_Px2(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_65,plain,
( ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_67,plain,
( ~ ca_Cx1(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_68,plain,
( ~ ca_Cx1(X0)
| cbxcomp(X0) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_71,plain,
( ra_Px6(X0,sK6(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_72,plain,
( ~ ra_Px6(X0,X1)
| ~ ca_Cx6(X0) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_73,plain,
( ~ ca(X0)
| ~ cb(X0)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_74,plain,
( ~ ca_Cx6xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_75,plain,
( ~ ca_Cx6xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_76,plain,
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_77,plain,
( ~ ca_Cx6xcomp(X0)
| ra_Px6(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_78,plain,
( ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_81,plain,
( ~ ca_Cx7xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_82,plain,
( ~ ca_Cx7xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_83,plain,
( ra_Px7(X0,sK9(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_85,plain,
( ra_Px8(X0,sK10(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_86,plain,
( ~ ra_Px8(X0,X1)
| ~ ca_Cx8(X0) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_87,plain,
( ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_90,plain,
( ~ ca_Cx8xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_91,plain,
( ~ ca_Cx8xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_92,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[],[f144]) ).
cnf(c_322,plain,
~ ra_Px5(i2003_11_14_17_20_50869,X0),
inference(resolution,[status(thm)],[c_49,c_92]) ).
cnf(c_330,plain,
~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
inference(resolution,[status(thm)],[c_55,c_322]) ).
cnf(c_335,plain,
( ~ cb(X0)
| ~ cbxcomp(X0) ),
inference(resolution,[status(thm)],[c_61,c_58]) ).
cnf(c_357,plain,
( ~ ccxcomp(X0)
| ~ cc(X0) ),
inference(resolution,[status(thm)],[c_65,c_63]) ).
cnf(c_379,plain,
( ca_Cx6(X0)
| ca_Cx6xcomp(X0) ),
inference(resolution,[status(thm)],[c_71,c_76]) ).
cnf(c_381,plain,
ca_Cx6(X0),
inference(global_subsumption_just,[status(thm)],[c_379,c_75,c_74,c_68,c_56,c_335,c_379]) ).
cnf(c_389,plain,
( ~ ca_Cx6(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(resolution,[status(thm)],[c_72,c_77]) ).
cnf(c_391,plain,
~ ca_Cx6xcomp(X0),
inference(global_subsumption_just,[status(thm)],[c_389,c_75,c_74,c_68,c_56,c_335]) ).
cnf(c_398,plain,
( ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_381]) ).
cnf(c_401,plain,
( ~ ca(X0)
| ~ cb(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_391]) ).
cnf(c_403,plain,
( ~ cb(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(resolution,[status(thm)],[c_81,c_401]) ).
cnf(c_405,plain,
~ ca_Cx7xcomp(X0),
inference(global_subsumption_just,[status(thm)],[c_403,c_82,c_81,c_67,c_56,c_357]) ).
cnf(c_414,plain,
ra_Px7(X0,sK9(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_83,c_405]) ).
cnf(c_417,plain,
ca_Cx7(X0),
inference(resolution,[status(thm)],[c_78,c_414]) ).
cnf(c_423,plain,
( ~ ca_Cx8(X0)
| cUnsatisfiablexcomp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_398,c_417]) ).
cnf(c_426,plain,
~ ca_Cx8(i2003_11_14_17_20_50869),
inference(resolution,[status(thm)],[c_423,c_330]) ).
cnf(c_431,plain,
( ~ ra_Px8(X0,X1)
| ra_Px8(X0,sK10(X0)) ),
inference(resolution,[status(thm)],[c_85,c_86]) ).
cnf(c_433,plain,
~ ra_Px8(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_431,c_91,c_90,c_59,c_87,c_357]) ).
cnf(c_439,plain,
ra_Px8(i2003_11_14_17_20_50869,sK10(i2003_11_14_17_20_50869)),
inference(resolution,[status(thm)],[c_85,c_426]) ).
cnf(c_441,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_439,c_433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:41:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.04/1.19 % SZS status Started for theBenchmark.p
% 1.04/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.04/1.19
% 1.04/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.04/1.19
% 1.04/1.19 ------ iProver source info
% 1.04/1.19
% 1.04/1.19 git: date: 2024-05-02 19:28:25 +0000
% 1.04/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.04/1.19 git: non_committed_changes: false
% 1.04/1.19
% 1.04/1.19 ------ Parsing...
% 1.04/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.04/1.19
% 1.04/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s
% 1.04/1.19
% 1.04/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.04/1.19
% 1.04/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.04/1.19
% 1.04/1.19
%------------------------------------------------------------------------------