%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:54:10 PM UTC 2026
% Result : Unsatisfiable 1.33s 6.27s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 148 ( 14 unt; 0 def)
% Number of atoms : 405 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 455 ( 198 ~; 171 |; 61 &)
% ( 22 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 233 ( 0 sgn 198 !; 35 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ~ ? [X1] : ra_Px5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
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(f5,axiom,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ? [X1] : ra_Px5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( ca(X0)
=> ca_Cx1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cb(X0)
<=> ? [X1] : ra_Px3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cb(X0)
=> ccxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cbxcomp(X0)
<=> ~ ? [X1] : ra_Px3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cc(X0)
<=> ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( ccxcomp(X0)
<=> ~ ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0] :
( ca_Cx1(X0)
<=> ( ccxcomp(X0)
& cbxcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f15,axiom,
! [X0] :
( ca_Cx6(X0)
<=> ~ ? [X1] : ra_Px6(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ( cb(X0)
& ca(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f17,axiom,
! [X0] :
( ca_Cx6xcomp(X0)
<=> ? [X1] : ra_Px6(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f18,axiom,
! [X0] :
( ca_Cx7(X0)
<=> ? [X1] : ra_Px7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ( ca(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f20,axiom,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ~ ? [X1] : ra_Px7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f21,axiom,
! [X0] :
( ca_Cx8(X0)
<=> ~ ? [X1] : ra_Px8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ? [X1] : ra_Px8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
! [X0] :
( ca_Cx8xcomp(X0)
<=> ( cb(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f25,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ~ ? [X1] : ra_Px5(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f28,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ! [X1] : ~ ra_Px5(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx1(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] :
( ~ cb(X0)
| ccxcomp(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f31,plain,
! [X0] :
( cbxcomp(X0)
<=> ! [X1] : ~ ra_Px3(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f32,plain,
! [X0] :
( ccxcomp(X0)
<=> ! [X1] : ~ ra_Px2(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] :
( ca_Cx6(X0)
<=> ! [X1] : ~ ra_Px6(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0] :
( ca_Cx7xcomp(X0)
<=> ! [X1] : ~ ra_Px7(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0] :
( ca_Cx8(X0)
<=> ! [X1] : ~ ra_Px8(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ( ~ cUnsatisfiablexcomp(X0)
| ? [X1] : ra_Px5(X0,X1) )
& ( ! [X1] : ~ ra_Px5(X0,X1)
| cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0] :
( ( ~ cUnsatisfiablexcomp(X0)
| ? [X2] : ra_Px5(X0,X2) )
& ( ! [X1] : ~ ra_Px5(X0,X1)
| cUnsatisfiablexcomp(X0) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ( ~ cUnsatisfiablexcomp(X0)
| ra_Px5(X0,sK0(X0)) )
& ( ! [X1] : ~ ra_Px5(X0,X1)
| cUnsatisfiablexcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f39]) ).
fof(f41,plain,
! [X0] :
( ( ~ cb(X0)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| cb(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f42,plain,
! [X0] :
( ( ~ cb(X0)
| ? [X2] : ra_Px3(X0,X2) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| cb(X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ( ~ cb(X0)
| ra_Px3(X0,sK1(X0)) )
& ( ! [X1] : ~ ra_Px3(X0,X1)
| cb(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f42]) ).
fof(f44,plain,
! [X0] :
( ( ~ cbxcomp(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X1] : ra_Px3(X0,X1)
| cbxcomp(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f45,plain,
! [X0] :
( ( ~ cbxcomp(X0)
| ! [X2] : ~ ra_Px3(X0,X2) )
& ( ? [X1] : ra_Px3(X0,X1)
| cbxcomp(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( ~ cbxcomp(X0)
| ! [X2] : ~ ra_Px3(X0,X2) )
& ( ra_Px3(X0,sK2(X0))
| cbxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f45]) ).
fof(f47,plain,
! [X0] :
( ( ~ cc(X0)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X1] : ~ ra_Px2(X0,X1)
| cc(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f48,plain,
! [X0] :
( ( ~ cc(X0)
| ? [X2] : ra_Px2(X0,X2) )
& ( ! [X1] : ~ ra_Px2(X0,X1)
| cc(X0) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ( ~ cc(X0)
| ra_Px2(X0,sK3(X0)) )
& ( ! [X1] : ~ ra_Px2(X0,X1)
| cc(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f48]) ).
fof(f50,plain,
! [X0] :
( ( ~ ccxcomp(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X1] : ra_Px2(X0,X1)
| ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f51,plain,
! [X0] :
( ( ~ ccxcomp(X0)
| ! [X2] : ~ ra_Px2(X0,X2) )
& ( ? [X1] : ra_Px2(X0,X1)
| ccxcomp(X0) ) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ( ~ ccxcomp(X0)
| ! [X2] : ~ ra_Px2(X0,X2) )
& ( ra_Px2(X0,sK4(X0))
| ccxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f51]) ).
fof(f53,plain,
! [X0] :
( ( ~ ca_Cx1(X0)
| ( ccxcomp(X0)
& cbxcomp(X0) ) )
& ( ~ ccxcomp(X0)
| ~ cbxcomp(X0)
| ca_Cx1(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f54,plain,
! [X0] :
( ( ~ ca_Cx1(X0)
| ( ccxcomp(X0)
& cbxcomp(X0) ) )
& ( ~ ccxcomp(X0)
| ~ cbxcomp(X0)
| ca_Cx1(X0) ) ),
inference(flattening,[],[f53]) ).
fof(f58,plain,
! [X0] :
( ( ~ ca_Cx6(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X1] : ra_Px6(X0,X1)
| ca_Cx6(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X0] :
( ( ~ ca_Cx6(X0)
| ! [X2] : ~ ra_Px6(X0,X2) )
& ( ? [X1] : ra_Px6(X0,X1)
| ca_Cx6(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( ~ ca_Cx6(X0)
| ! [X2] : ~ ra_Px6(X0,X2) )
& ( ra_Px6(X0,sK6(X0))
| ca_Cx6(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f59]) ).
fof(f61,plain,
! [X0] :
( ( ~ ca_Cx6xcomp(X0)
| ( cb(X0)
& ca(X0) ) )
& ( ~ cb(X0)
| ~ ca(X0)
| ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0] :
( ( ~ ca_Cx6xcomp(X0)
| ( cb(X0)
& ca(X0) ) )
& ( ~ cb(X0)
| ~ ca(X0)
| ca_Cx6xcomp(X0) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( ~ ca_Cx6xcomp(X0)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X1] : ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f64,plain,
! [X0] :
( ( ~ ca_Cx6xcomp(X0)
| ? [X2] : ra_Px6(X0,X2) )
& ( ! [X1] : ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ( ~ ca_Cx6xcomp(X0)
| ra_Px6(X0,sK7(X0)) )
& ( ! [X1] : ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0))],[f64]) ).
fof(f66,plain,
! [X0] :
( ( ~ ca_Cx7(X0)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X1] : ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f67,plain,
! [X0] :
( ( ~ ca_Cx7(X0)
| ? [X2] : ra_Px7(X0,X2) )
& ( ! [X1] : ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ( ~ ca_Cx7(X0)
| ra_Px7(X0,sK8(X0)) )
& ( ! [X1] : ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0))],[f67]) ).
fof(f69,plain,
! [X0] :
( ( ~ ca_Cx7xcomp(X0)
| ( ca(X0)
& cc(X0) ) )
& ( ~ ca(X0)
| ~ cc(X0)
| ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
! [X0] :
( ( ~ ca_Cx7xcomp(X0)
| ( ca(X0)
& cc(X0) ) )
& ( ~ ca(X0)
| ~ cc(X0)
| ca_Cx7xcomp(X0) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( ~ ca_Cx7xcomp(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X1] : ra_Px7(X0,X1)
| ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f72,plain,
! [X0] :
( ( ~ ca_Cx7xcomp(X0)
| ! [X2] : ~ ra_Px7(X0,X2) )
& ( ? [X1] : ra_Px7(X0,X1)
| ca_Cx7xcomp(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ( ~ ca_Cx7xcomp(X0)
| ! [X2] : ~ ra_Px7(X0,X2) )
& ( ra_Px7(X0,sK9(X0))
| ca_Cx7xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f72]) ).
fof(f74,plain,
! [X0] :
( ( ~ ca_Cx8(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X1] : ra_Px8(X0,X1)
| ca_Cx8(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f75,plain,
! [X0] :
( ( ~ ca_Cx8(X0)
| ! [X2] : ~ ra_Px8(X0,X2) )
& ( ? [X1] : ra_Px8(X0,X1)
| ca_Cx8(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( ~ ca_Cx8(X0)
| ! [X2] : ~ ra_Px8(X0,X2) )
& ( ra_Px8(X0,sK10(X0))
| ca_Cx8(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f75]) ).
fof(f77,plain,
! [X0] :
( ( ~ ca_Cx8xcomp(X0)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X1] : ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f78,plain,
! [X0] :
( ( ~ ca_Cx8xcomp(X0)
| ? [X2] : ra_Px8(X0,X2) )
& ( ! [X1] : ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( ~ ca_Cx8xcomp(X0)
| ra_Px8(X0,sK11(X0)) )
& ( ! [X1] : ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0))],[f78]) ).
fof(f80,plain,
! [X0] :
( ( ~ ca_Cx8xcomp(X0)
| ( cb(X0)
& cc(X0) ) )
& ( ~ cb(X0)
| ~ cc(X0)
| ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f81,plain,
! [X0] :
( ( ~ ca_Cx8xcomp(X0)
| ( cb(X0)
& cc(X0) ) )
& ( ~ cb(X0)
| ~ cc(X0)
| ca_Cx8xcomp(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ ra_Px5(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f86,plain,
! [X0] :
( ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f87,plain,
! [X0] :
( ~ cUnsatisfiablexcomp(X0)
| ra_Px5(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f89,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx1(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f90,plain,
! [X0] :
( ~ cb(X0)
| ra_Px3(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f92,plain,
! [X0] :
( ~ cb(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f93,plain,
! [X2,X0] :
( ~ cbxcomp(X0)
| ~ ra_Px3(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0] :
( ~ cc(X0)
| ra_Px2(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f97,plain,
! [X2,X0] :
( ~ ccxcomp(X0)
| ~ ra_Px2(X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f99,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f100,plain,
! [X0] :
( ~ ca_Cx1(X0)
| cbxcomp(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f104,plain,
! [X2,X0] :
( ~ ca_Cx6(X0)
| ~ ra_Px6(X0,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f105,plain,
! [X0] :
( ra_Px6(X0,sK6(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f106,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f107,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0] :
( ~ cb(X0)
| ~ ca(X0)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
! [X0] :
( ~ ca_Cx6xcomp(X0)
| ra_Px6(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f110,plain,
! [X0,X1] :
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f112,plain,
! [X0,X1] :
( ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f114,plain,
! [X0] :
( ~ ca_Cx7xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f117,plain,
! [X0] :
( ra_Px7(X0,sK9(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f118,plain,
! [X2,X0] :
( ~ ca_Cx8(X0)
| ~ ra_Px8(X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f119,plain,
! [X0] :
( ra_Px8(X0,sK10(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f121,plain,
! [X0,X1] :
( ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
! [X0] :
( ~ ca_Cx8xcomp(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[],[f24]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ~ cUnsatisfiable(X0)
| ~ ra_Px5(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_50,plain,
! [X0: $i] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_55,plain,
! [X0: $i] :
( ra_Px5(X0,sK0(X0))
| ~ cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_56,plain,
! [X0: $i] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_58,plain,
! [X0: $i] :
( ra_Px3(X0,sK1(X0))
| ~ cb(X0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_59,plain,
! [X0: $i] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ~ cbxcomp(X0)
| ~ ra_Px3(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_63,plain,
! [X0: $i] :
( ra_Px2(X0,sK3(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ~ ccxcomp(X0)
| ~ ra_Px2(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_67,plain,
! [X0: $i] :
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_68,plain,
! [X0: $i] :
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_71,plain,
! [X0: $i] :
( ca_Cx6(X0)
| ra_Px6(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ~ ca_Cx6(X0)
| ~ ra_Px6(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_73,plain,
! [X0: $i] :
( ca_Cx6xcomp(X0)
| ~ cb(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_74,plain,
! [X0: $i] :
( ca(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_75,plain,
! [X0: $i] :
( cb(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ca_Cx6xcomp(X0)
| ~ ra_Px6(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_77,plain,
! [X0: $i] :
( ra_Px6(X0,sK7(X0))
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( ca_Cx7(X0)
| ~ ra_Px7(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_81,plain,
! [X0: $i] :
( cc(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_82,plain,
! [X0: $i] :
( ca(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_83,plain,
! [X0: $i] :
( ca_Cx7xcomp(X0)
| ra_Px7(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_85,plain,
! [X0: $i] :
( ca_Cx8(X0)
| ra_Px8(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ~ ca_Cx8(X0)
| ~ ra_Px8(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ca_Cx8xcomp(X0)
| ~ ra_Px8(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_90,plain,
! [X0: $i] :
( cc(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_91,plain,
! [X0: $i] :
( cb(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_92,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[],[f125]) ).
tcf(c_322,plain,
! [X0: $i] : ~ ra_Px5(i2003_11_14_17_20_50869,X0),
inference(resolution,[status(thm)],[c_49,c_92]) ).
tcf(c_330,plain,
~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
inference(resolution,[status(thm)],[c_55,c_322]) ).
tcf(c_335,plain,
! [X0: $i] :
( ~ cbxcomp(X0)
| ~ cb(X0) ),
inference(resolution,[status(thm)],[c_61,c_58]) ).
tcf(c_357,plain,
! [X0: $i] :
( ~ cc(X0)
| ~ ccxcomp(X0) ),
inference(resolution,[status(thm)],[c_65,c_63]) ).
tcf(c_379,plain,
! [X0: $i] :
( ca_Cx6xcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[c_71,c_76]) ).
tcf(c_381,plain,
! [X0: $i] : ca_Cx6(X0),
inference(global_subsumption_just,[status(thm)],[c_379,c_75,c_74,c_67,c_56,c_335,c_379]) ).
tcf(c_389,plain,
! [X0: $i] :
( ~ ca_Cx6xcomp(X0)
| ~ ca_Cx6(X0) ),
inference(resolution,[status(thm)],[c_72,c_77]) ).
tcf(c_391,plain,
! [X0: $i] : ~ ca_Cx6xcomp(X0),
inference(global_subsumption_just,[status(thm)],[c_389,c_75,c_74,c_67,c_56,c_335]) ).
tcf(c_398,plain,
! [X0: $i] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_381]) ).
tcf(c_401,plain,
! [X0: $i] :
( ~ cb(X0)
| ~ ca(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_391]) ).
tcf(c_403,plain,
! [X0: $i] :
( ~ ca_Cx7xcomp(X0)
| ~ cb(X0) ),
inference(resolution,[status(thm)],[c_82,c_401]) ).
tcf(c_405,plain,
! [X0: $i] : ~ ca_Cx7xcomp(X0),
inference(global_subsumption_just,[status(thm)],[c_403,c_82,c_81,c_68,c_56,c_357]) ).
tcf(c_414,plain,
! [X0: $i] : ra_Px7(X0,sK9(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_83,c_405]) ).
tcf(c_417,plain,
! [X0: $i] : ca_Cx7(X0),
inference(resolution,[status(thm)],[c_78,c_414]) ).
tcf(c_423,plain,
! [X0: $i] :
( cUnsatisfiablexcomp(X0)
| ~ ca_Cx8(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_398,c_417]) ).
tcf(c_426,plain,
~ ca_Cx8(i2003_11_14_17_20_50869),
inference(resolution,[status(thm)],[c_423,c_330]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] :
( ra_Px8(X0,sK10(X0))
| ~ ra_Px8(X0,X1) ),
inference(resolution,[status(thm)],[c_85,c_86]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : ~ ra_Px8(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_431,c_91,c_90,c_59,c_87,c_357]) ).
tcf(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]) ).
tcf(c_441,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_439,c_433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n007.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 19:22:12 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.41
% 0.13/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41
% 0.13/5.41 % Detected problem language: tptp
% 0.13/5.42 % Proving...
% 1.33/6.27 % SZS status Started for theBenchmark.p
% 1.33/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.33/6.27
% 1.33/6.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.33/6.27
% 1.33/6.27 % ------ iProver source info
% 1.33/6.27
% 1.33/6.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.33/6.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.33/6.27 % git: non_committed_changes: false
% 1.33/6.27
% 1.33/6.27 % ------ Parsing...
% 1.33/6.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.33/6.27
% 1.33/6.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s%
% 1.33/6.27
% 1.33/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.33/6.27
% 1.33/6.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.33/6.27
% 1.33/6.27
%------------------------------------------------------------------------------