%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 01:53:03 PM UTC 2026
% Result : Unsatisfiable 3.81s 1.08s
% Output : Proof 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 115 ( 10 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 328 ( 122 ~; 135 |; 52 &)
% ( 17 <=>; 2 =>; 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 : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 168 ( 14 sgn 81 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f19_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px7(X,Y)
| ca_Cx7xcomp(X) )
& ( ! [Y] : ~ ra_Px7(X,Y)
| ~ ca_Cx7xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X,Y] :
( ( ra_Px7(X,sk11(X))
| ca_Cx7xcomp(X) )
& ( ~ ra_Px7(X,Y)
| ~ ca_Cx7xcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11])],[f19_nnf]) ).
cnf(c42,plain,
( ra_Px7(X0,sk11(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f17,axiom,
! [X] :
( ca_Cx7(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f17_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px7(X,Y0)
| ca_Cx7(X) )
& ( ? [Y0] : ra_Px7(X,Y0)
| ~ ca_Cx7(X) ) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y0] :
( ( ~ ra_Px7(X,Y0)
| ca_Cx7(X) )
& ( ra_Px7(X,sk10(X))
| ~ ca_Cx7(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f17_nnf]) ).
cnf(c37,plain,
( ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p56,plain,
( ca_Cx7(X0)
| ca_Cx7xcomp(X0) ),
inference(resolution,[status(thm)],[c42,c37]) ).
fof(f18,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ( ca(X)
& cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f18_nnf,plain,
! [X] :
( ( ~ ca(X)
| ~ cc(X)
| ca_Cx7xcomp(X) )
& ( ( ca(X)
& cc(X) )
| ~ ca_Cx7xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X] :
( ( ~ ca(X)
| ~ cc(X)
| ca_Cx7xcomp(X) )
& ( ( ca(X)
& cc(X) )
| ~ ca_Cx7xcomp(X) ) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c39,plain,
( ca(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p70,plain,
( ca(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p56,c39]) ).
fof(f5,axiom,
! [X] :
( ca(X)
=> ca_Cx1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
! [X] :
( ca_Cx1(X)
| ~ ca(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ca_Cx1(X)
| ~ ca(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c12,plain,
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p83,plain,
( ca_Cx1(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p70,c12]) ).
fof(f11,axiom,
! [X] :
( ca_Cx1(X)
<=> ( ccxcomp(X)
& cbxcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f11_nnf,plain,
! [X] :
( ( ~ ccxcomp(X)
| ~ cbxcomp(X)
| ca_Cx1(X) )
& ( ( ccxcomp(X)
& cbxcomp(X) )
| ~ ca_Cx1(X) ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] :
( ( ~ ccxcomp(X)
| ~ cbxcomp(X)
| ca_Cx1(X) )
& ( ( ccxcomp(X)
& cbxcomp(X) )
| ~ ca_Cx1(X) ) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c23,plain,
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p94,plain,
( ccxcomp(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p83,c23]) ).
fof(f10,axiom,
! [X] :
( ccxcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f10_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px2(X,Y)
| ccxcomp(X) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ ccxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,Y] :
( ( ra_Px2(X,sk5(X))
| ccxcomp(X) )
& ( ~ ra_Px2(X,Y)
| ~ ccxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f10_nnf]) ).
cnf(c20,plain,
( ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p103,plain,
( ~ ra_Px2(X0,X1)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p94,c20]) ).
cnf(c38,plain,
( cc(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p69,plain,
( cc(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p56,c38]) ).
fof(f9,axiom,
! [X] :
( cc(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f9_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px2(X,Y0)
| cc(X) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cc(X) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y0] :
( ( ~ ra_Px2(X,Y0)
| cc(X) )
& ( ra_Px2(X,sk4(X))
| ~ cc(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f9_nnf]) ).
cnf(c18,plain,
( ra_Px2(X0,sk4(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p81,plain,
( ra_Px2(X0,sk4(X0))
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p69,c18]) ).
cnf(p110,plain,
( ca_Cx7(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[p103,p81]) ).
cnf(p114,plain,
ca_Cx7(X0),
inference(factoring,[status(thm)],[p110]) ).
fof(f3,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ( ~ ca_Cx6(X)
| ~ ca_Cx8(X)
| ~ ca_Cx7(X)
| cUnsatisfiablexcomp(X) )
& ( ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) )
| ~ cUnsatisfiablexcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ( ~ ca_Cx6(X)
| ~ ca_Cx8(X)
| ~ ca_Cx7(X)
| cUnsatisfiablexcomp(X) )
& ( ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) )
| ~ cUnsatisfiablexcomp(X) ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c9,plain,
( ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p117,plain,
( ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[p114,c9]) ).
fof(f21,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ? [Y0] : ra_Px8(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f21_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px8(X,Y0)
| ca_Cx8xcomp(X) )
& ( ? [Y0] : ra_Px8(X,Y0)
| ~ ca_Cx8xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y0] :
( ( ~ ra_Px8(X,Y0)
| ca_Cx8xcomp(X) )
& ( ra_Px8(X,sk13(X))
| ~ ca_Cx8xcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13])],[f21_nnf]) ).
cnf(c46,plain,
( ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f20,axiom,
! [X] :
( ca_Cx8(X)
<=> ~ ? [Y] : ra_Px8(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f20_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px8(X,Y)
| ca_Cx8(X) )
& ( ! [Y] : ~ ra_Px8(X,Y)
| ~ ca_Cx8(X) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y] :
( ( ra_Px8(X,sk12(X))
| ca_Cx8(X) )
& ( ~ ra_Px8(X,Y)
| ~ ca_Cx8(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk12])],[f20_nnf]) ).
cnf(c44,plain,
( ra_Px8(X0,sk12(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p57,plain,
( ca_Cx8(X0)
| ca_Cx8xcomp(X0) ),
inference(resolution,[status(thm)],[c46,c44]) ).
fof(f22,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ( cb(X)
& cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f22_nnf,plain,
! [X] :
( ( ~ cb(X)
| ~ cc(X)
| ca_Cx8xcomp(X) )
& ( ( cb(X)
& cc(X) )
| ~ ca_Cx8xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X] :
( ( ~ cb(X)
| ~ cc(X)
| ca_Cx8xcomp(X) )
& ( ( cb(X)
& cc(X) )
| ~ ca_Cx8xcomp(X) ) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c48,plain,
( cb(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p73,plain,
( cb(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[p57,c48]) ).
fof(f7,axiom,
! [X] :
( cb(X)
=> ccxcomp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( ccxcomp(X)
| ~ cb(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ccxcomp(X)
| ~ cb(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c15,plain,
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p88,plain,
( ccxcomp(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[p73,c15]) ).
cnf(p98,plain,
( ~ ra_Px2(X0,X1)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[p88,c20]) ).
cnf(c47,plain,
( cc(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p72,plain,
( cc(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[p57,c47]) ).
cnf(p85,plain,
( ra_Px2(X0,sk4(X0))
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[p72,c18]) ).
cnf(p106,plain,
( ca_Cx8(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[p98,p85]) ).
cnf(p112,plain,
ca_Cx8(X0),
inference(factoring,[status(thm)],[p106]) ).
cnf(p119,plain,
( ~ ca_Cx6(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[p117,p112]) ).
fof(f16,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f16_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px6(X,Y0)
| ca_Cx6xcomp(X) )
& ( ? [Y0] : ra_Px6(X,Y0)
| ~ ca_Cx6xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y0] :
( ( ~ ra_Px6(X,Y0)
| ca_Cx6xcomp(X) )
& ( ra_Px6(X,sk9(X))
| ~ ca_Cx6xcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk9])],[f16_nnf]) ).
cnf(c35,plain,
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f14,axiom,
! [X] :
( ca_Cx6(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f14_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px6(X,Y)
| ca_Cx6(X) )
& ( ! [Y] : ~ ra_Px6(X,Y)
| ~ ca_Cx6(X) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X,Y] :
( ( ra_Px6(X,sk8(X))
| ca_Cx6(X) )
& ( ~ ra_Px6(X,Y)
| ~ ca_Cx6(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8])],[f14_nnf]) ).
cnf(c30,plain,
( ra_Px6(X0,sk8(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p55,plain,
( ca_Cx6(X0)
| ca_Cx6xcomp(X0) ),
inference(resolution,[status(thm)],[c35,c30]) ).
fof(f15,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ( cb(X)
& ca(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f15_nnf,plain,
! [X] :
( ( ~ cb(X)
| ~ ca(X)
| ca_Cx6xcomp(X) )
& ( ( cb(X)
& ca(X) )
| ~ ca_Cx6xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X] :
( ( ~ cb(X)
| ~ ca(X)
| ca_Cx6xcomp(X) )
& ( ( cb(X)
& ca(X) )
| ~ ca_Cx6xcomp(X) ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c31,plain,
( ca(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p66,plain,
( ca(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p55,c31]) ).
cnf(p77,plain,
( ca_Cx1(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p66,c12]) ).
cnf(c22,plain,
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p89,plain,
( cbxcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p77,c22]) ).
fof(f8,axiom,
! [X] :
( cbxcomp(X)
<=> ~ ? [Y] : ra_Px3(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px3(X,Y)
| cbxcomp(X) )
& ( ! [Y] : ~ ra_Px3(X,Y)
| ~ cbxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y] :
( ( ra_Px3(X,sk3(X))
| cbxcomp(X) )
& ( ~ ra_Px3(X,Y)
| ~ cbxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f8_nnf]) ).
cnf(c16,plain,
( ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p99,plain,
( ~ ra_Px3(X0,X1)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p89,c16]) ).
cnf(c32,plain,
( cb(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p67,plain,
( cb(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p55,c32]) ).
fof(f6,axiom,
! [X] :
( cb(X)
<=> ? [Y0] : ra_Px3(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px3(X,Y0)
| cb(X) )
& ( ? [Y0] : ra_Px3(X,Y0)
| ~ cb(X) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y0] :
( ( ~ ra_Px3(X,Y0)
| cb(X) )
& ( ra_Px3(X,sk2(X))
| ~ cb(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f6_nnf]) ).
cnf(c13,plain,
( ra_Px3(X0,sk2(X0))
| ~ cb(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p79,plain,
( ra_Px3(X0,sk2(X0))
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p67,c13]) ).
cnf(p107,plain,
( ca_Cx6(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[p99,p79]) ).
cnf(p113,plain,
ca_Cx6(X0),
inference(factoring,[status(thm)],[p107]) ).
cnf(p120,plain,
cUnsatisfiablexcomp(X0),
inference(resolution,[status(thm)],[p119,p113]) ).
fof(f4,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px5(X,Y0)
| cUnsatisfiablexcomp(X) )
& ( ? [Y0] : ra_Px5(X,Y0)
| ~ cUnsatisfiablexcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y0] :
( ( ~ ra_Px5(X,Y0)
| cUnsatisfiablexcomp(X) )
& ( ra_Px5(X,sk1(X))
| ~ cUnsatisfiablexcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f4_nnf]) ).
cnf(c10,plain,
( ra_Px5(X0,sk1(X0))
| ~ cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p121,plain,
ra_Px5(X0,sk1(X0)),
inference(resolution,[status(thm)],[p120,c10]) ).
fof(f23,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f23_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c50,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px5(X,Y)
| cUnsatisfiable(X) )
& ( ! [Y] : ~ ra_Px5(X,Y)
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ra_Px5(X,sk0(X))
| cUnsatisfiable(X) )
& ( ~ ra_Px5(X,Y)
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).
cnf(c4,plain,
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p58,plain,
~ ra_Px5(i2003_11_14_17_20_50869,X0),
inference(resolution,[status(thm)],[c50,c4]) ).
cnf(p122,plain,
$false,
inference(resolution,[status(thm)],[p121,p58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:22:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.81/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------