TSTP Solution File: KRS116+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Tue Apr 30 20:24:48 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 106 ( 6 unt; 0 def)
% Number of atoms : 444 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 535 ( 197 ~; 192 |; 115 &)
% ( 21 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 247 ( 208 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( ca(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( caxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx7(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rp(X,Y)
=> ca_Vx3(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx5(Y) )
& ! [Y] :
( rr(X,Y)
=> cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx4(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( ca_Vx6(X)
<=> ! [Y] :
( rinvS(X,Y)
=> caxcomp(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] :
( ca_Vx7(X)
<=> ! [Y] :
( rinvP(X,Y)
=> ca_Vx6(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca(X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca(X0) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f29,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ( rs(X,sk0_0(X))
& ca_Ax2(sk0_0(X)) ) ),
inference(skolemization,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f32,plain,
! [X] :
( ca(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f33,plain,
! [X] :
( ( ~ ca(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( ca(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
( ! [X] :
( ~ ca(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( ca(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ~ ca(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( ca(X)
| ra_Px1(X,sk0_1(X)) ) ),
inference(skolemization,[status(esa)],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ ca(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f38,plain,
! [X] :
( ( ~ caxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( caxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f39,plain,
( ! [X] :
( ~ caxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( caxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f38]) ).
fof(f40,plain,
( ! [X] :
( ~ caxcomp(X)
| ra_Px1(X,sk0_2(X)) )
& ! [X] :
( caxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0] :
( ~ caxcomp(X0)
| ra_Px1(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f43,plain,
! [X] :
( cc(X)
<=> ! [Y] :
( ~ rinvR(X,Y)
| ca_Vx7(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f44,plain,
! [X] :
( ( ~ cc(X)
| ! [Y] :
( ~ rinvR(X,Y)
| ca_Vx7(Y) ) )
& ( cc(X)
| ? [Y] :
( rinvR(X,Y)
& ~ ca_Vx7(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
( ! [X] :
( ~ cc(X)
| ! [Y] :
( ~ rinvR(X,Y)
| ca_Vx7(Y) ) )
& ! [X] :
( cc(X)
| ? [Y] :
( rinvR(X,Y)
& ~ ca_Vx7(Y) ) ) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f46,plain,
( ! [X] :
( ~ cc(X)
| ! [Y] :
( ~ rinvR(X,Y)
| ca_Vx7(Y) ) )
& ! [X] :
( cc(X)
| ( rinvR(X,sk0_3(X))
& ~ ca_Vx7(sk0_3(X)) ) ) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ rinvR(X0,X1)
| ca_Vx7(X1) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f50,plain,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( ~ rp(X,Y)
| ca_Vx3(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx5(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx4(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f51,plain,
! [X] :
( pd0_0(X)
<=> ( ! [Y] :
( ~ rp(X,Y)
| ca_Vx3(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx5(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) ) ) ),
introduced(predicate_definition,[f50]) ).
fof(f52,plain,
! [X] :
( ca_Ax2(X)
<=> ( pd0_0(X)
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx4(Y) ) ) ),
inference(formula_renaming,[status(thm)],[f50,f51]) ).
fof(f53,plain,
! [X] :
( ( ~ ca_Ax2(X)
| ( pd0_0(X)
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx4(Y) ) ) )
& ( ca_Ax2(X)
| ~ pd0_0(X)
| ? [Y] :
( rp(X,Y)
& ~ ca_Vx4(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( pd0_0(X)
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx4(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ pd0_0(X)
| ? [Y] :
( rp(X,Y)
& ~ ca_Vx4(Y) ) ) ),
inference(miniscoping,[status(esa)],[f53]) ).
fof(f55,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( pd0_0(X)
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx4(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ pd0_0(X)
| ( rp(X,sk0_4(X))
& ~ ca_Vx4(sk0_4(X)) ) ) ),
inference(skolemization,[status(esa)],[f54]) ).
fof(f56,plain,
! [X0] :
( ~ ca_Ax2(X0)
| pd0_0(X0) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f60,plain,
! [X] :
( ( ~ ca_Vx3(X)
| ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) )
& ( ca_Vx3(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f9]) ).
fof(f61,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f62,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ( rr(X,sk0_5(X))
& cowlThing(sk0_5(X)) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(skolemization,[status(esa)],[f61]) ).
fof(f63,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rr(X0,sk0_5(X0)) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f72,plain,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f73,plain,
! [X] :
( ( ~ ca_Vx5(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) )
& ( ca_Vx5(X)
| ? [Y] :
( rr(X,Y)
& ~ cc(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f72]) ).
fof(f74,plain,
( ! [X] :
( ~ ca_Vx5(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) )
& ! [X] :
( ca_Vx5(X)
| ? [Y] :
( rr(X,Y)
& ~ cc(Y) ) ) ),
inference(miniscoping,[status(esa)],[f73]) ).
fof(f75,plain,
( ! [X] :
( ~ ca_Vx5(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) )
& ! [X] :
( ca_Vx5(X)
| ( rr(X,sk0_7(X))
& ~ cc(sk0_7(X)) ) ) ),
inference(skolemization,[status(esa)],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ~ ca_Vx5(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f79,plain,
! [X] :
( ca_Vx6(X)
<=> ! [Y] :
( ~ rinvS(X,Y)
| caxcomp(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f80,plain,
! [X] :
( ( ~ ca_Vx6(X)
| ! [Y] :
( ~ rinvS(X,Y)
| caxcomp(Y) ) )
& ( ca_Vx6(X)
| ? [Y] :
( rinvS(X,Y)
& ~ caxcomp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f79]) ).
fof(f81,plain,
( ! [X] :
( ~ ca_Vx6(X)
| ! [Y] :
( ~ rinvS(X,Y)
| caxcomp(Y) ) )
& ! [X] :
( ca_Vx6(X)
| ? [Y] :
( rinvS(X,Y)
& ~ caxcomp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f80]) ).
fof(f82,plain,
( ! [X] :
( ~ ca_Vx6(X)
| ! [Y] :
( ~ rinvS(X,Y)
| caxcomp(Y) ) )
& ! [X] :
( ca_Vx6(X)
| ( rinvS(X,sk0_8(X))
& ~ caxcomp(sk0_8(X)) ) ) ),
inference(skolemization,[status(esa)],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ ca_Vx6(X0)
| ~ rinvS(X0,X1)
| caxcomp(X1) ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f86,plain,
! [X] :
( ca_Vx7(X)
<=> ! [Y] :
( ~ rinvP(X,Y)
| ca_Vx6(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f87,plain,
! [X] :
( ( ~ ca_Vx7(X)
| ! [Y] :
( ~ rinvP(X,Y)
| ca_Vx6(Y) ) )
& ( ca_Vx7(X)
| ? [Y] :
( rinvP(X,Y)
& ~ ca_Vx6(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f86]) ).
fof(f88,plain,
( ! [X] :
( ~ ca_Vx7(X)
| ! [Y] :
( ~ rinvP(X,Y)
| ca_Vx6(Y) ) )
& ! [X] :
( ca_Vx7(X)
| ? [Y] :
( rinvP(X,Y)
& ~ ca_Vx6(Y) ) ) ),
inference(miniscoping,[status(esa)],[f87]) ).
fof(f89,plain,
( ! [X] :
( ~ ca_Vx7(X)
| ! [Y] :
( ~ rinvP(X,Y)
| ca_Vx6(Y) ) )
& ! [X] :
( ca_Vx7(X)
| ( rinvP(X,sk0_9(X))
& ~ ca_Vx6(sk0_9(X)) ) ) ),
inference(skolemization,[status(esa)],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ ca_Vx7(X0)
| ~ rinvP(X0,X1)
| ca_Vx6(X1) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f93,plain,
! [X,Y] :
( ( ~ rinvP(X,Y)
| rp(Y,X) )
& ( rinvP(X,Y)
| ~ rp(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f14]) ).
fof(f94,plain,
( ! [X,Y] :
( ~ rinvP(X,Y)
| rp(Y,X) )
& ! [X,Y] :
( rinvP(X,Y)
| ~ rp(Y,X) ) ),
inference(miniscoping,[status(esa)],[f93]) ).
fof(f96,plain,
! [X0,X1] :
( rinvP(X0,X1)
| ~ rp(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f97,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( rinvR(X,Y)
| ~ rr(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f15]) ).
fof(f98,plain,
( ! [X,Y] :
( ~ rinvR(X,Y)
| rr(Y,X) )
& ! [X,Y] :
( rinvR(X,Y)
| ~ rr(Y,X) ) ),
inference(miniscoping,[status(esa)],[f97]) ).
fof(f100,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f101,plain,
! [X,Y] :
( ( ~ rinvS(X,Y)
| rs(Y,X) )
& ( rinvS(X,Y)
| ~ rs(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f16]) ).
fof(f102,plain,
( ! [X,Y] :
( ~ rinvS(X,Y)
| rs(Y,X) )
& ! [X,Y] :
( rinvS(X,Y)
| ~ rs(Y,X) ) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f104,plain,
! [X0,X1] :
( rinvS(X0,X1)
| ~ rs(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f108,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f109,plain,
! [X] :
( pd0_1(X)
<=> ( ! [Y] :
( ~ rp(X,Y)
| ca_Vx3(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx5(Y) ) ) ),
introduced(predicate_definition,[f51]) ).
fof(f110,plain,
! [X] :
( pd0_0(X)
<=> ( pd0_1(X)
& ! [Y] :
( ~ rr(X,Y)
| cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) ) ) ),
inference(formula_renaming,[status(thm)],[f51,f109]) ).
fof(f111,plain,
! [X] :
( ( ~ pd0_0(X)
| ( pd0_1(X)
& ! [Y] :
( ~ rr(X,Y)
| cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) ) ) )
& ( pd0_0(X)
| ~ pd0_1(X)
| ? [Y] :
( rr(X,Y)
& ~ cc(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) )
| ! [Y] :
( ~ rp(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f110]) ).
fof(f112,plain,
( ! [X] :
( ~ pd0_0(X)
| ( pd0_1(X)
& ! [Y] :
( ~ rr(X,Y)
| cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) ) ) )
& ! [X] :
( pd0_0(X)
| ~ pd0_1(X)
| ? [Y] :
( rr(X,Y)
& ~ cc(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) )
| ! [Y] :
( ~ rp(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(miniscoping,[status(esa)],[f111]) ).
fof(f113,plain,
( ! [X] :
( ~ pd0_0(X)
| ( pd0_1(X)
& ! [Y] :
( ~ rr(X,Y)
| cc(Y) )
& rr(X,sk0_10(X))
& cowlThing(sk0_10(X))
& rp(X,sk0_11(X))
& cowlThing(sk0_11(X)) ) )
& ! [X] :
( pd0_0(X)
| ~ pd0_1(X)
| ( rr(X,sk0_12(X))
& ~ cc(sk0_12(X)) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) )
| ! [Y] :
( ~ rp(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(skolemization,[status(esa)],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f118,plain,
! [X0] :
( ~ pd0_0(X0)
| rp(X0,sk0_11(X0)) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f122,plain,
! [X] :
( ( ~ pd0_1(X)
| ( ! [Y] :
( ~ rp(X,Y)
| ca_Vx3(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx5(Y) ) ) )
& ( pd0_1(X)
| ? [Y] :
( rp(X,Y)
& ~ ca_Vx3(Y) )
| ? [Y] :
( rp(X,Y)
& ~ ca_Vx5(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f109]) ).
fof(f123,plain,
( ! [X] :
( ~ pd0_1(X)
| ( ! [Y] :
( ~ rp(X,Y)
| ca_Vx3(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx5(Y) ) ) )
& ! [X] :
( pd0_1(X)
| ? [Y] :
( rp(X,Y)
& ~ ca_Vx3(Y) )
| ? [Y] :
( rp(X,Y)
& ~ ca_Vx5(Y) ) ) ),
inference(miniscoping,[status(esa)],[f122]) ).
fof(f124,plain,
( ! [X] :
( ~ pd0_1(X)
| ( ! [Y] :
( ~ rp(X,Y)
| ca_Vx3(Y) )
& ! [Y] :
( ~ rp(X,Y)
| ca_Vx5(Y) ) ) )
& ! [X] :
( pd0_1(X)
| ( rp(X,sk0_13(X))
& ~ ca_Vx3(sk0_13(X)) )
| ( rp(X,sk0_14(X))
& ~ ca_Vx5(sk0_14(X)) ) ) ),
inference(skolemization,[status(esa)],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ~ pd0_1(X0)
| ~ rp(X0,X1)
| ca_Vx3(X1) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ~ pd0_1(X0)
| ~ rp(X0,X1)
| ca_Vx5(X1) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f131,plain,
ca(i2003_11_14_17_21_33997),
inference(resolution,[status(thm)],[f27,f108]) ).
fof(f134,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| pd0_0(sk0_0(X0)) ),
inference(resolution,[status(thm)],[f31,f56]) ).
fof(f137,plain,
! [X0] :
( ~ caxcomp(X0)
| ~ ca(X0) ),
inference(resolution,[status(thm)],[f41,f36]) ).
fof(f152,plain,
! [X0] :
( rinvS(sk0_0(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f104,f30]) ).
fof(f154,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rinvR(sk0_5(X0),X0) ),
inference(resolution,[status(thm)],[f63,f100]) ).
fof(f158,plain,
! [X0] :
( ~ pd0_0(X0)
| rinvP(sk0_11(X0),X0) ),
inference(resolution,[status(thm)],[f118,f96]) ).
fof(f163,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ~ cc(sk0_5(X0))
| ca_Vx7(X0) ),
inference(resolution,[status(thm)],[f154,f47]) ).
fof(f181,plain,
! [X0] :
( ~ ca_Vx5(X0)
| cc(sk0_5(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[status(thm)],[f76,f63]) ).
fof(f186,plain,
! [X0] :
( ~ ca_Vx6(sk0_0(X0))
| caxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f83,f152]) ).
fof(f187,plain,
! [X0] :
( ~ ca_Vx7(sk0_11(X0))
| ca_Vx6(X0)
| ~ pd0_0(X0) ),
inference(resolution,[status(thm)],[f90,f158]) ).
fof(f243,plain,
! [X0] :
( ~ pd0_1(X0)
| ca_Vx3(sk0_11(X0))
| ~ pd0_0(X0) ),
inference(resolution,[status(thm)],[f125,f118]) ).
fof(f244,plain,
! [X0] :
( ca_Vx3(sk0_11(X0))
| ~ pd0_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f114]) ).
fof(f249,plain,
! [X0] :
( ~ pd0_1(X0)
| ca_Vx5(sk0_11(X0))
| ~ pd0_0(X0) ),
inference(resolution,[status(thm)],[f126,f118]) ).
fof(f250,plain,
! [X0] :
( ca_Vx5(sk0_11(X0))
| ~ pd0_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f114]) ).
fof(f258,plain,
! [X0] :
( ~ ca_Vx5(X0)
| ~ ca_Vx3(X0)
| ~ ca_Vx3(X0)
| ca_Vx7(X0) ),
inference(resolution,[status(thm)],[f181,f163]) ).
fof(f259,plain,
! [X0] :
( ~ ca_Vx5(X0)
| ~ ca_Vx3(X0)
| ca_Vx7(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f258]) ).
fof(f260,plain,
! [X0] :
( ~ ca_Vx3(sk0_11(X0))
| ca_Vx7(sk0_11(X0))
| ~ pd0_0(X0) ),
inference(resolution,[status(thm)],[f259,f250]) ).
fof(f261,plain,
! [X0] :
( ca_Vx7(sk0_11(X0))
| ~ pd0_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f244]) ).
fof(f286,plain,
! [X0] :
( ca_Vx6(X0)
| ~ pd0_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f261]) ).
fof(f287,plain,
! [X0] :
( ca_Vx6(sk0_0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f286,f134]) ).
fof(f288,plain,
! [X0] :
( caxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f186,f287]) ).
fof(f289,plain,
caxcomp(i2003_11_14_17_21_33997),
inference(resolution,[status(thm)],[f288,f108]) ).
fof(f290,plain,
~ ca(i2003_11_14_17_21_33997),
inference(resolution,[status(thm)],[f289,f137]) ).
fof(f291,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f290,f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:30:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.018604 seconds
% 0.14/0.37 % CPU time: 0.056629 seconds
% 0.14/0.37 % Total memory used: 2.038 MB
% 0.14/0.37 % Net memory used: 1.956 MB
%------------------------------------------------------------------------------