%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Tue Sep 29 11:41:39 AM UTC 2026
% Result : Unsatisfiable 1.94s 1.04s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 129 ( 7 unt; 0 def)
% Number of atoms : 396 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 427 ( 160 ~; 181 |; 61 &)
% ( 22 <=>; 3 =>; 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 : 204 ( 169 !; 35 ?)
% 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_Cx7(X0)
& ca_Cx8(X0)
& ca_Cx6(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)
<=> ( cbxcomp(X0)
& ccxcomp(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)
<=> ( ca(X0)
& cb(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)
<=> ( cc(X0)
& ca(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)
<=> ( cc(X0)
& cb(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] :
( ! [X1] : ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(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_Cx7(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx6(X0) )
& ( ( ca_Cx7(X0)
& ca_Cx8(X0)
& ca_Cx6(X0) )
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f37,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ~ ca_Cx7(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx6(X0) )
& ( ( ca_Cx7(X0)
& ca_Cx8(X0)
& ca_Cx6(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)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X2] : ra_Px5(X0,X2)
| ~ cUnsatisfiablexcomp(X0) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ( cUnsatisfiablexcomp(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ra_Px5(X0,sK0(X0))
| ~ 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)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ? [X2] : ra_Px3(X0,X2)
| ~ cb(X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ( cb(X0)
| ! [X1] : ~ ra_Px3(X0,X1) )
& ( ra_Px3(X0,sK1(X0))
| ~ 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)
| ? [X1] : ra_Px3(X0,X1) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ cbxcomp(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( cbxcomp(X0)
| ra_Px3(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px3(X0,X2)
| ~ 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)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ? [X2] : ra_Px2(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ( cc(X0)
| ! [X1] : ~ ra_Px2(X0,X1) )
& ( ra_Px2(X0,sK3(X0))
| ~ 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)
| ? [X1] : ra_Px2(X0,X1) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ( ccxcomp(X0)
| ra_Px2(X0,sK4(X0)) )
& ( ! [X2] : ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f51]) ).
fof(f53,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ cbxcomp(X0)
| ~ ccxcomp(X0) )
& ( ( cbxcomp(X0)
& ccxcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f54,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ cbxcomp(X0)
| ~ ccxcomp(X0) )
& ( ( cbxcomp(X0)
& ccxcomp(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)
| ? [X1] : ra_Px6(X0,X1) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( ca_Cx6(X0)
| ra_Px6(X0,sK6(X0)) )
& ( ! [X2] : ~ ra_Px6(X0,X2)
| ~ ca_Cx6(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f59]) ).
fof(f61,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ ca(X0)
| ~ cb(X0) )
& ( ( ca(X0)
& cb(X0) )
| ~ ca_Cx6xcomp(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ~ ca(X0)
| ~ cb(X0) )
& ( ( ca(X0)
& cb(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)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ? [X2] : ra_Px6(X0,X2)
| ~ ca_Cx6xcomp(X0) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ( ca_Cx6xcomp(X0)
| ! [X1] : ~ ra_Px6(X0,X1) )
& ( ra_Px6(X0,sK7(X0))
| ~ 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)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ? [X2] : ra_Px7(X0,X2)
| ~ ca_Cx7(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ( ca_Cx7(X0)
| ! [X1] : ~ ra_Px7(X0,X1) )
& ( ra_Px7(X0,sK8(X0))
| ~ ca_Cx7(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0))],[f67]) ).
fof(f69,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ cc(X0)
| ~ ca(X0) )
& ( ( cc(X0)
& ca(X0) )
| ~ ca_Cx7xcomp(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ~ cc(X0)
| ~ ca(X0) )
& ( ( cc(X0)
& ca(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)
| ? [X1] : ra_Px7(X0,X1) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ ca_Cx7xcomp(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ( ca_Cx7xcomp(X0)
| ra_Px7(X0,sK9(X0)) )
& ( ! [X2] : ~ ra_Px7(X0,X2)
| ~ 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)
| ? [X1] : ra_Px8(X0,X1) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ ca_Cx8(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( ca_Cx8(X0)
| ra_Px8(X0,sK10(X0)) )
& ( ! [X2] : ~ ra_Px8(X0,X2)
| ~ 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)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ? [X2] : ra_Px8(X0,X2)
| ~ ca_Cx8xcomp(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ! [X1] : ~ ra_Px8(X0,X1) )
& ( ra_Px8(X0,sK11(X0))
| ~ ca_Cx8xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0))],[f78]) ).
fof(f80,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cc(X0)
| ~ cb(X0) )
& ( ( cc(X0)
& cb(X0) )
| ~ ca_Cx8xcomp(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f81,plain,
! [X0] :
( ( ca_Cx8xcomp(X0)
| ~ cc(X0)
| ~ cb(X0) )
& ( ( cc(X0)
& cb(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_Cx7(X0)
| ~ ca_Cx8(X0)
| cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f87,plain,
! [X0] :
( ra_Px5(X0,sK0(X0))
| ~ cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f89,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx1(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f90,plain,
! [X0] :
( ra_Px3(X0,sK1(X0))
| ~ cb(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f92,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f93,plain,
! [X2,X0] :
( ~ cbxcomp(X0)
| ~ ra_Px3(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0] :
( ra_Px2(X0,sK3(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f97,plain,
! [X2,X0] :
( ~ ra_Px2(X0,X2)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f99,plain,
! [X0] :
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f100,plain,
! [X0] :
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[],[f54]) ).
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(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(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]) ).
fof(f126,plain,
! [X0] : ~ ra_Px5(i2003_11_14_17_20_50869,X0),
inference(resolution,[],[f82,f125]) ).
fof(f127,plain,
! [X0,X1] :
( ~ ra_Px3(X0,X1)
| ~ ca_Cx1(X0) ),
inference(resolution,[],[f93,f100]) ).
fof(f129,plain,
~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
inference(resolution,[],[f87,f126]) ).
fof(f130,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ~ cb(X0) ),
inference(resolution,[],[f90,f127]) ).
fof(f133,plain,
! [X0] :
( ~ ccxcomp(X0)
| ~ cc(X0) ),
inference(resolution,[],[f95,f97]) ).
fof(f137,plain,
! [X0] :
( ~ cc(X0)
| ~ ca_Cx1(X0) ),
inference(resolution,[],[f133,f99]) ).
fof(f138,plain,
! [X0] :
( ~ cc(X0)
| ~ cb(X0) ),
inference(resolution,[],[f133,f92]) ).
fof(f143,plain,
! [X0] :
( ca_Cx6(X0)
| ca_Cx6xcomp(X0) ),
inference(resolution,[],[f105,f110]) ).
fof(f158,plain,
! [X0] :
( ca_Cx7(X0)
| ca_Cx7xcomp(X0) ),
inference(resolution,[],[f117,f112]) ).
fof(f160,plain,
! [X0] :
( ca_Cx8(X0)
| ca_Cx8xcomp(X0) ),
inference(resolution,[],[f119,f121]) ).
fof(f167,plain,
! [X0] :
( ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0) ),
inference(resolution,[],[f86,f143]) ).
fof(f176,plain,
! [X0] :
( ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| ca_Cx8xcomp(X0) ),
inference(resolution,[],[f167,f160]) ).
fof(f180,plain,
! [X0] :
( ca_Cx8xcomp(X0)
| ca_Cx6xcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx7xcomp(X0) ),
inference(resolution,[],[f176,f158]) ).
fof(f183,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| cc(X0) ),
inference(resolution,[],[f180,f123]) ).
fof(f184,plain,
! [X0] :
( ca_Cx7xcomp(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| cb(X0) ),
inference(resolution,[],[f180,f122]) ).
fof(f186,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ca_Cx6xcomp(X0)
| cc(X0)
| cc(X0) ),
inference(resolution,[],[f183,f114]) ).
fof(f188,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| cUnsatisfiablexcomp(X0)
| cc(X0) ),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f191,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0)
| ca(X0) ),
inference(resolution,[],[f184,f113]) ).
fof(f193,plain,
! [X0] :
( ca(X0)
| cc(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f188,f107]) ).
fof(f194,plain,
! [X0] :
( cc(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0) ),
inference(resolution,[],[f188,f106]) ).
fof(f197,plain,
! [X0] :
( cc(X0)
| cUnsatisfiablexcomp(X0)
| ca_Cx1(X0) ),
inference(resolution,[],[f193,f89]) ).
fof(f199,plain,
! [X0] :
( ~ ca_Cx1(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f194,f137]) ).
fof(f202,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| cb(X0)
| ca(X0)
| cb(X0) ),
inference(resolution,[],[f191,f106]) ).
fof(f203,plain,
! [X0] :
( ca(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f207,plain,
! [X0] :
( ca_Cx1(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0) ),
inference(resolution,[],[f203,f89]) ).
fof(f208,plain,
! [X0] :
( ca_Cx1(X0)
| cUnsatisfiablexcomp(X0)
| ~ cb(X0) ),
inference(resolution,[],[f197,f138]) ).
fof(f210,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| cb(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[],[f207,f199]) ).
fof(f212,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| cb(X0) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f213,plain,
cb(i2003_11_14_17_20_50869),
inference(resolution,[],[f212,f129]) ).
fof(f215,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ~ cb(X0)
| ~ cb(X0) ),
inference(resolution,[],[f208,f130]) ).
fof(f216,plain,
! [X0] :
( cUnsatisfiablexcomp(X0)
| ~ cb(X0) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f218,plain,
~ cb(i2003_11_14_17_20_50869),
inference(resolution,[],[f216,f129]) ).
fof(f219,plain,
$false,
inference(resolution,[],[f218,f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:21:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.94/1.04 % (229081)Detected formulas, will run a generic FOF schedule.
% 1.94/1.04 % (229089)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1391386574:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.94/1.04 % (229086)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2650885848:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.94/1.04 % (229090)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=639940517:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.94/1.04 % (229091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3171346667:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.94/1.04 % (229087)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1181308695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.94/1.04 % (229092)dis-21_1_sil=8000:lcm=predicate:random_seed=1221249789:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.94/1.04 % (229088)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=812420907:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.94/1.04 % (229090)Refutation not found, incomplete strategy
% 1.94/1.04 % (229090)------------------------------
% 1.94/1.04 % (229090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.04 % (229090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.04 % (229090)CaDiCaL version: 2.1.3
% 1.94/1.04 % (229090)Termination reason: Refutation not found, incomplete strategy
% 1.94/1.04 % (229090)Time elapsed: 0.0000 s
% 1.94/1.04 % (229089)Refutation not found, incomplete strategy
% 1.94/1.04 % (229089)------------------------------
% 1.94/1.04 % (229089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.04 % (229090)Peak memory usage: 86 MB
% 1.94/1.04 % (229089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.04 % (229089)CaDiCaL version: 2.1.3
% 1.94/1.04 % (229089)Termination reason: Refutation not found, incomplete strategy
% 1.94/1.04 % (229089)Time elapsed: 0.0000 s
% 1.94/1.04 % (229089)Peak memory usage: 86 MB
% 1.94/1.04 % (229092)First to succeed.
% 1.94/1.04 % (229091)Also succeeded, but the first one will report.
% 1.94/1.04 % (229092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-229081"
% 1.94/1.04 % (229090)------------------------------
% 1.94/1.04 % (229090)------------------------------
% 1.94/1.04 % (229089)------------------------------
% 1.94/1.04 % (229089)------------------------------
% 1.94/1.04 % (229092)Refutation found. Thanks to Tanya!
% 1.94/1.04 % SZS status Unsatisfiable for theBenchmark
% 1.94/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.23 % (229092)------------------------------
% 3.37/1.23 % (229092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.23 % (229092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.23 % (229092)CaDiCaL version: 2.1.3
% 3.37/1.23 % (229092)Termination reason: Refutation
% 3.37/1.23 % (229092)Time elapsed: 0.004 s
% 3.37/1.23 % (229092)Peak memory usage: 88 MB
% 3.37/1.23 % (229092)Instructions burned: 6 (million)
% 3.37/1.23 % (229092)------------------------------
% 3.37/1.23 % (229092)------------------------------
% 3.37/1.23 % (229081)Success in time 0.419 s
% 3.37/1.23 % Vampire exiting
%------------------------------------------------------------------------------