TSTP Solution File: NUN065+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN065+1 : TPTP v8.1.2. Released v7.3.0.
% 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 20:36:19 EDT 2024
% Result : Theorem 188.17s 24.12s
% Output : CNFRefutation 189.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 119 ( 16 unt; 0 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 338 ( 151 ~; 141 |; 42 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 0 con; 1-2 aty)
% Number of variables : 278 ( 259 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( id(X12,Y21)
& r2(X11,X12) )
| ( ~ r2(X11,X12)
& ~ id(X12,Y21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( id(X15,Y22)
& r3(X13,X14,X15) )
| ( ~ r3(X13,X14,X15)
& ~ id(X15,Y22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X23,X24,X25] :
( ~ id(X23,X24)
| id(X23,X25)
| ~ id(X24,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X26,X27] :
( ~ id(X26,X27)
| ( ~ r1(X26)
& ~ r1(X27) )
| ( r1(X26)
& r1(X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( id(Y5,Y4)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X3,X10] :
( ! [Y12] :
( ! [Y13] :
( ~ id(Y13,Y12)
| ~ r2(X3,Y13) )
| ~ r2(X10,Y12) )
| id(X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X4] :
? [Y9] :
( id(Y9,X4)
& ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
? [Y1] :
( ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ id(Y1,Y2) )
& ! [Y4] :
( ~ id(Y1,Y4)
| ~ r1(Y4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1] :
( ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ id(Y1,Y2) )
& ! [Y4] :
( ~ id(Y1,Y4)
| ~ r1(Y4) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f26,plain,
! [X11,Y21,X12] :
( pd0_1(X12,Y21,X11)
=> ( id(X12,Y21)
& r2(X11,X12) ) ),
introduced(predicate_definition,[f2]) ).
fof(f27,plain,
! [X11] :
? [Y21] :
! [X12] :
( pd0_1(X12,Y21,X11)
| ( ~ r2(X11,X12)
& ~ id(X12,Y21) ) ),
inference(formula_renaming,[status(thm)],[f2,f26]) ).
fof(f28,plain,
! [X11,X12] :
( pd0_1(X12,sk0_1(X11),X11)
| ( ~ r2(X11,X12)
& ~ id(X12,sk0_1(X11)) ) ),
inference(skolemization,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( pd0_1(X0,sk0_1(X1),X1)
| ~ r2(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( pd0_1(X0,sk0_1(X1),X1)
| ~ id(X0,sk0_1(X1)) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f31,plain,
! [X13,X14,Y22,X15] :
( pd0_2(X15,Y22,X14,X13)
=> ( id(X15,Y22)
& r3(X13,X14,X15) ) ),
introduced(predicate_definition,[f3]) ).
fof(f32,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( pd0_2(X15,Y22,X14,X13)
| ( ~ r3(X13,X14,X15)
& ~ id(X15,Y22) ) ),
inference(formula_renaming,[status(thm)],[f3,f31]) ).
fof(f33,plain,
! [X13,X14,X15] :
( pd0_2(X15,sk0_2(X14,X13),X14,X13)
| ( ~ r3(X13,X14,X15)
& ~ id(X15,sk0_2(X14,X13)) ) ),
inference(skolemization,[status(esa)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( pd0_2(X0,sk0_2(X1,X2),X1,X2)
| ~ r3(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f41,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f43,plain,
! [X24,X25] :
( ! [X23] :
( ~ id(X23,X24)
| id(X23,X25) )
| ~ id(X24,X25) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
! [X26,X27] :
( pd0_4(X27,X26)
=> ( ~ r1(X26)
& ~ r1(X27) ) ),
introduced(predicate_definition,[f8]) ).
fof(f46,plain,
! [X26,X27] :
( ~ id(X26,X27)
| pd0_4(X27,X26)
| ( r1(X26)
& r1(X27) ) ),
inference(formula_renaming,[status(thm)],[f8,f45]) ).
fof(f47,plain,
! [X0,X1] :
( ~ id(X0,X1)
| pd0_4(X1,X0)
| r1(X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ~ id(X0,X1)
| pd0_4(X1,X0)
| r1(X1) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f61,plain,
! [X1,X8] :
( id(sk0_5(X8,X1),sk0_4(X8,X1))
& r2(X8,sk0_6(X8,X1))
& r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
& r2(sk0_7(X8,X1),sk0_4(X8,X1))
& r3(X1,X8,sk0_7(X8,X1)) ),
inference(skolemization,[status(esa)],[f12]) ).
fof(f62,plain,
! [X0,X1] : id(sk0_5(X0,X1),sk0_4(X0,X1)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f64,plain,
! [X0,X1] : r3(X0,sk0_6(X1,X0),sk0_5(X1,X0)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f65,plain,
! [X0,X1] : r2(sk0_7(X0,X1),sk0_4(X0,X1)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ id(X0,X1)
| ~ r2(X2,X0)
| ~ r2(X3,X1)
| id(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f74,plain,
! [X4] :
( id(sk0_12(X4),X4)
& r1(sk0_13(X4))
& r3(X4,sk0_13(X4),sk0_12(X4)) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f75,plain,
! [X0] : id(sk0_12(X0),X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f89,plain,
! [Y10] :
( ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) )
| ! [X7] : ~ r2(X7,Y10) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ id(X0,X1)
| ~ r1(X0)
| ~ r2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [Y1] :
( ? [Y2] :
( ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) )
& id(Y1,Y2) )
| ? [Y4] :
( id(Y1,Y4)
& r1(Y4) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f92,plain,
! [Y1,Y2] :
( pd0_9(Y2,Y1)
=> ( ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) )
& id(Y1,Y2) ) ),
introduced(predicate_definition,[f91]) ).
fof(f93,plain,
! [Y1] :
( ? [Y2] : pd0_9(Y2,Y1)
| ? [Y4] :
( id(Y1,Y4)
& r1(Y4) ) ),
inference(formula_renaming,[status(thm)],[f91,f92]) ).
fof(f94,plain,
! [Y1] :
( pd0_9(sk0_20(Y1),Y1)
| ( id(Y1,sk0_21(Y1))
& r1(sk0_21(Y1)) ) ),
inference(skolemization,[status(esa)],[f93]) ).
fof(f95,plain,
! [X0] :
( pd0_9(sk0_20(X0),X0)
| id(X0,sk0_21(X0)) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f96,plain,
! [X0] :
( pd0_9(sk0_20(X0),X0)
| r1(sk0_21(X0)) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f100,plain,
! [X11,Y21,X12] :
( ~ pd0_1(X12,Y21,X11)
| ( id(X12,Y21)
& r2(X11,X12) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ pd0_1(X0,X1,X2)
| id(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ pd0_1(X0,X1,X2)
| r2(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f103,plain,
! [X13,X14,Y22,X15] :
( ~ pd0_2(X15,Y22,X14,X13)
| ( id(X15,Y22)
& r3(X13,X14,X15) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ~ pd0_2(X0,X1,X2,X3)
| id(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f109,plain,
! [X26,X27] :
( ~ pd0_4(X27,X26)
| ( ~ r1(X26)
& ~ r1(X27) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f110,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| ~ r1(X1) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f124,plain,
! [Y1,Y2] :
( ~ pd0_9(Y2,Y1)
| ( ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) )
& id(Y1,Y2) ) ),
inference(pre_NNF_transformation,[status(esa)],[f92]) ).
fof(f125,plain,
! [Y1,Y2] :
( ~ pd0_9(Y2,Y1)
| ( r1(sk0_22(Y2,Y1))
& r2(sk0_22(Y2,Y1),Y2)
& id(Y1,Y2) ) ),
inference(skolemization,[status(esa)],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ~ pd0_9(X0,X1)
| r1(sk0_22(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ~ pd0_9(X0,X1)
| r2(sk0_22(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f128,plain,
! [X0,X1] :
( ~ pd0_9(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f129,plain,
! [X0] :
( r1(sk0_21(X0))
| id(X0,sk0_20(X0)) ),
inference(resolution,[status(thm)],[f96,f128]) ).
fof(f130,plain,
! [X0] :
( id(X0,sk0_21(X0))
| id(X0,sk0_20(X0)) ),
inference(resolution,[status(thm)],[f95,f128]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ id(X0,X1)
| ~ r2(X2,X1)
| id(sk0_22(X0,X3),X2)
| ~ pd0_9(X0,X3) ),
inference(resolution,[status(thm)],[f73,f127]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ pd0_9(X0,X3)
| id(X2,sk0_22(X0,X3)) ),
inference(resolution,[status(thm)],[f151,f42]) ).
fof(f157,plain,
! [X0,X1] :
( ~ id(X0,sk0_12(X1))
| id(X0,X1) ),
inference(resolution,[status(thm)],[f75,f44]) ).
fof(f158,plain,
! [X0] : id(X0,sk0_12(X0)),
inference(resolution,[status(thm)],[f75,f42]) ).
fof(f159,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X0,sk0_12(X1)) ),
inference(resolution,[status(thm)],[f158,f44]) ).
fof(f364,plain,
! [X0] : id(sk0_12(sk0_12(X0)),X0),
inference(resolution,[status(thm)],[f157,f75]) ).
fof(f378,plain,
! [X0] : id(X0,sk0_12(sk0_12(X0))),
inference(resolution,[status(thm)],[f364,f42]) ).
fof(f383,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(sk0_12(X1),X0) ),
inference(resolution,[status(thm)],[f159,f42]) ).
fof(f384,plain,
! [X0,X1] :
( ~ id(sk0_12(X0),X1)
| id(sk0_12(X1),X0) ),
inference(resolution,[status(thm)],[f383,f157]) ).
fof(f389,plain,
! [X0,X1,X2] :
( ~ id(X0,X1)
| ~ id(X2,sk0_12(X1))
| id(X2,X0) ),
inference(resolution,[status(thm)],[f383,f44]) ).
fof(f472,plain,
! [X0,X1] :
( id(X0,sk0_1(X1))
| ~ r2(X1,X0) ),
inference(resolution,[status(thm)],[f101,f29]) ).
fof(f473,plain,
! [X0,X1] :
( r2(X0,X1)
| ~ id(X1,sk0_1(X0)) ),
inference(resolution,[status(thm)],[f102,f30]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ~ r3(X0,X1,X2)
| id(X2,sk0_2(X1,X0)) ),
inference(resolution,[status(thm)],[f34,f104]) ).
fof(f789,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ id(X2,X1)
| id(X2,sk0_1(X0)) ),
inference(resolution,[status(thm)],[f472,f44]) ).
fof(f790,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(sk0_1(X0),X1) ),
inference(resolution,[status(thm)],[f472,f42]) ).
fof(f794,plain,
! [X0,X1] :
( r2(X0,sk0_12(X1))
| ~ id(sk0_1(X0),X1) ),
inference(resolution,[status(thm)],[f473,f383]) ).
fof(f803,plain,
! [X0] : r2(X0,sk0_1(X0)),
inference(resolution,[status(thm)],[f473,f41]) ).
fof(f808,plain,
! [X0,X1] :
( ~ id(X0,sk0_1(X1))
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f803,f90]) ).
fof(f837,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X0) ),
inference(resolution,[status(thm)],[f808,f472]) ).
fof(f884,plain,
! [X0,X1] :
( pd0_4(sk0_12(X0),X1)
| r1(X1)
| ~ id(X1,X0) ),
inference(resolution,[status(thm)],[f47,f159]) ).
fof(f935,plain,
! [X0] :
( pd0_4(sk0_12(X0),X0)
| r1(sk0_12(X0)) ),
inference(resolution,[status(thm)],[f48,f158]) ).
fof(f1963,plain,
! [X0] :
( r1(sk0_12(X0))
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f935,f110]) ).
fof(f1986,plain,
! [X0,X1] :
( id(sk0_12(X0),X1)
| ~ id(X0,X1) ),
inference(resolution,[status(thm)],[f384,f383]) ).
fof(f2037,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,sk0_12(X0)) ),
inference(resolution,[status(thm)],[f1986,f42]) ).
fof(f3271,plain,
! [X0,X1] :
( r2(X0,sk0_12(X1))
| ~ r2(X0,X1) ),
inference(resolution,[status(thm)],[f794,f790]) ).
fof(f3303,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ id(X2,sk0_12(X1))
| ~ r1(X2) ),
inference(resolution,[status(thm)],[f3271,f90]) ).
fof(f3970,plain,
! [X0,X1] : id(sk0_4(X0,X1),sk0_5(X0,X1)),
inference(resolution,[status(thm)],[f62,f42]) ).
fof(f3972,plain,
! [X0,X1] : ~ r1(sk0_4(X0,X1)),
inference(resolution,[status(thm)],[f65,f837]) ).
fof(f4970,plain,
! [X0,X1] :
( r1(X0)
| ~ id(X0,X1)
| ~ r1(sk0_12(X1)) ),
inference(resolution,[status(thm)],[f884,f111]) ).
fof(f5014,plain,
! [X0,X1] :
( r1(X0)
| ~ id(X0,X1)
| ~ r1(X1) ),
inference(resolution,[status(thm)],[f4970,f1963]) ).
fof(f5015,plain,
! [X0,X1] :
( r1(sk0_4(X0,X1))
| ~ r1(sk0_5(X0,X1)) ),
inference(resolution,[status(thm)],[f5014,f3970]) ).
fof(f5016,plain,
! [X0,X1] : ~ r1(sk0_5(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f5015,f3972]) ).
fof(f5088,plain,
! [X0,X1,X2] :
( r1(X0)
| ~ r1(sk0_2(X1,X2))
| ~ r3(X2,X1,X0) ),
inference(resolution,[status(thm)],[f5014,f474]) ).
fof(f5113,plain,
! [X0,X1,X2,X3] :
( r1(X0)
| ~ r1(sk0_22(X1,X2))
| ~ id(X1,X3)
| ~ r2(X0,X3)
| ~ pd0_9(X1,X2) ),
inference(resolution,[status(thm)],[f5014,f155]) ).
fof(f5114,plain,
! [X0,X1,X2,X3] :
( r1(X0)
| ~ id(X1,X2)
| ~ r2(X0,X2)
| ~ pd0_9(X1,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f5113,f126]) ).
fof(f5127,plain,
! [X0] :
( r1(X0)
| ~ r1(sk0_21(X0))
| id(X0,sk0_20(X0)) ),
inference(resolution,[status(thm)],[f5014,f130]) ).
fof(f5128,plain,
! [X0] :
( r1(X0)
| id(X0,sk0_20(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5127,f129]) ).
fof(f5174,plain,
! [X0,X1] :
( r1(X0)
| ~ id(X1,X0)
| id(X1,sk0_20(X0)) ),
inference(resolution,[status(thm)],[f5128,f44]) ).
fof(f6403,plain,
! [X0,X1] :
( r1(X0)
| ~ id(X1,X0)
| id(sk0_20(X0),X1) ),
inference(resolution,[status(thm)],[f5174,f42]) ).
fof(f6754,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(resolution,[status(thm)],[f3303,f2037]) ).
fof(f6830,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ id(sk0_1(X1),X0) ),
inference(resolution,[status(thm)],[f6754,f803]) ).
fof(f7578,plain,
! [X0,X1] :
( r1(X0)
| ~ id(sk0_1(X1),X0)
| r2(X1,sk0_20(X0)) ),
inference(resolution,[status(thm)],[f6403,f473]) ).
fof(f7579,plain,
! [X0,X1] :
( ~ id(sk0_1(X0),X1)
| r2(X0,sk0_20(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f7578,f6830]) ).
fof(f7606,plain,
! [X0,X1] :
( r2(X0,sk0_20(X1))
| ~ r2(X0,X1) ),
inference(resolution,[status(thm)],[f7579,f790]) ).
fof(f8280,plain,
! [X0,X1] :
( ~ id(X0,sk0_12(X1))
| id(X1,X0) ),
inference(resolution,[status(thm)],[f389,f378]) ).
fof(f8290,plain,
! [X0,X1] :
( id(X0,sk0_1(X1))
| ~ r2(X1,sk0_12(X0)) ),
inference(resolution,[status(thm)],[f8280,f790]) ).
fof(f12583,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ id(X2,X1)
| r2(X0,X2) ),
inference(resolution,[status(thm)],[f789,f473]) ).
fof(f12609,plain,
! [X0,X1,X2] :
( ~ id(X0,sk0_20(X1))
| r2(X2,X0)
| ~ r2(X2,X1) ),
inference(resolution,[status(thm)],[f12583,f7606]) ).
fof(f20633,plain,
! [X0,X1] :
( r2(X0,sk0_12(sk0_20(X1)))
| ~ r2(X0,X1) ),
inference(resolution,[status(thm)],[f12609,f75]) ).
fof(f20692,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(sk0_20(X1),sk0_1(X0)) ),
inference(resolution,[status(thm)],[f20633,f8290]) ).
fof(f24307,plain,
! [X0,X1] :
( r1(sk0_5(X0,X1))
| ~ r1(sk0_2(sk0_6(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f5088,f64]) ).
fof(f24308,plain,
! [X0,X1] : ~ r1(sk0_2(sk0_6(X0,X1),X1)),
inference(forward_subsumption_resolution,[status(thm)],[f24307,f5016]) ).
fof(f60120,plain,
! [X0,X1,X2] :
( r1(X0)
| ~ id(X1,sk0_1(X0))
| ~ pd0_9(X1,X2) ),
inference(resolution,[status(thm)],[f5114,f803]) ).
fof(f60247,plain,
! [X0,X1,X2] :
( r1(X0)
| ~ pd0_9(sk0_20(X1),X2)
| ~ r2(X0,X1) ),
inference(resolution,[status(thm)],[f60120,f20692]) ).
fof(f60293,plain,
! [X0,X1] :
( r1(X0)
| ~ r2(X0,X1)
| r1(sk0_21(X1)) ),
inference(resolution,[status(thm)],[f60247,f96]) ).
fof(f60294,plain,
! [X0,X1] :
( r1(X0)
| ~ r2(X0,X1)
| id(X1,sk0_21(X1)) ),
inference(resolution,[status(thm)],[f60247,f95]) ).
fof(f60491,plain,
! [X0,X1] :
( r1(X0)
| ~ r2(X0,sk0_1(X1))
| ~ r1(sk0_21(sk0_1(X1))) ),
inference(resolution,[status(thm)],[f60294,f6830]) ).
fof(f60492,plain,
! [X0,X1] :
( r1(X0)
| ~ r2(X0,sk0_1(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f60491,f60293]) ).
fof(f60561,plain,
! [X0] : r1(X0),
inference(resolution,[status(thm)],[f60492,f803]) ).
fof(f60562,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f24308,f60561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN065+1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:43:40 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 188.17/24.12 % Refutation found
% 188.17/24.12 % SZS status Theorem for theBenchmark: Theorem is valid
% 188.17/24.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 189.20/24.23 % Elapsed time: 23.873299 seconds
% 189.20/24.23 % CPU time: 189.209986 seconds
% 189.20/24.23 % Total memory used: 702.471 MB
% 189.20/24.23 % Net memory used: 595.476 MB
%------------------------------------------------------------------------------