TSTP Solution File: NUN058+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN058+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 : Wed May 31 12:31:12 EDT 2023
% Result : Theorem 187.71s 24.09s
% Output : CNFRefutation 188.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 13
% Syntax : Number of formulae : 210 ( 120 unt; 0 def)
% Number of atoms : 458 ( 102 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 515 ( 267 ~; 168 |; 76 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 661 (; 610 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& X19 != Y24 )
| ( r1(X19)
& X19 = Y24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ r2(X11,X12)
& X12 != Y21 )
| ( r2(X11,X12)
& X12 = Y21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( ~ r3(X13,X14,X15)
& X15 != Y22 )
| ( r3(X13,X14,X15)
& X15 = Y22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X16,X17] :
? [Y23] :
! [X18] :
( ( ~ r4(X16,X17,X18)
& X18 != Y23 )
| ( r4(X16,X17,X18)
& X18 = Y23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& Y5 = Y4 )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) )
& Y3 = Y2 )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X4] :
? [Y9] :
( ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) )
& Y9 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( r1(Y18)
& Y8 = Y18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
? [Y1] :
( ? [Y2,Y4] :
( ? [Y6] :
( ? [Y10] :
( r4(Y10,Y2,Y6)
& ? [Y12] :
( r2(Y12,Y10)
& ? [Y14] :
( r1(Y14)
& r2(Y14,Y12) ) ) )
& Y6 = Y1 )
& ? [Y8] :
( r3(Y2,Y4,Y8)
& Y8 = Y1 ) )
& ? [Y3,Y5] :
( Y5 = Y1
& ? [Y7] :
( r3(Y3,Y7,Y5)
& ? [Y9] :
( r2(Y9,Y7)
& ? [Y11] :
( r2(Y11,Y9)
& ? [Y13] :
( r2(Y13,Y11)
& ? [Y15] :
( r1(Y15)
& r2(Y15,Y13) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ? [Y1] :
( ? [Y2,Y4] :
( ? [Y6] :
( ? [Y10] :
( r4(Y10,Y2,Y6)
& ? [Y12] :
( r2(Y12,Y10)
& ? [Y14] :
( r1(Y14)
& r2(Y14,Y12) ) ) )
& Y6 = Y1 )
& ? [Y8] :
( r3(Y2,Y4,Y8)
& Y8 = Y1 ) )
& ? [Y3,Y5] :
( Y5 = Y1
& ? [Y7] :
( r3(Y3,Y7,Y5)
& ? [Y9] :
( r2(Y9,Y7)
& ? [Y11] :
( r2(Y11,Y9)
& ? [Y13] :
( r2(Y13,Y11)
& ? [Y15] :
( r1(Y15)
& r2(Y15,Y13) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [Y24,X19] :
( pd0_0(X19,Y24)
=> ( ~ r1(X19)
& X19 != Y24 ) ),
introduced(predicate_definition,[f1]) ).
fof(f15,plain,
? [Y24] :
! [X19] :
( pd0_0(X19,Y24)
| ( r1(X19)
& X19 = Y24 ) ),
inference(formula_renaming,[status(thm)],[f1,f14]) ).
fof(f16,plain,
! [X19] :
( pd0_0(X19,sk0_0)
| ( r1(X19)
& X19 = sk0_0 ) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f17,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| r1(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| X0 = sk0_0 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f19,plain,
! [X11,Y21,X12] :
( pd0_1(X12,Y21,X11)
=> ( ~ r2(X11,X12)
& X12 != Y21 ) ),
introduced(predicate_definition,[f2]) ).
fof(f20,plain,
! [X11] :
? [Y21] :
! [X12] :
( pd0_1(X12,Y21,X11)
| ( r2(X11,X12)
& X12 = Y21 ) ),
inference(formula_renaming,[status(thm)],[f2,f19]) ).
fof(f21,plain,
! [X11,X12] :
( pd0_1(X12,sk0_1(X11),X11)
| ( r2(X11,X12)
& X12 = sk0_1(X11) ) ),
inference(skolemization,[status(esa)],[f20]) ).
fof(f23,plain,
! [X0,X1] :
( pd0_1(X0,sk0_1(X1),X1)
| X0 = sk0_1(X1) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f24,plain,
! [X13,X14,Y22,X15] :
( pd0_2(X15,Y22,X14,X13)
=> ( ~ r3(X13,X14,X15)
& X15 != Y22 ) ),
introduced(predicate_definition,[f3]) ).
fof(f25,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( pd0_2(X15,Y22,X14,X13)
| ( r3(X13,X14,X15)
& X15 = Y22 ) ),
inference(formula_renaming,[status(thm)],[f3,f24]) ).
fof(f26,plain,
! [X13,X14,X15] :
( pd0_2(X15,sk0_2(X14,X13),X14,X13)
| ( r3(X13,X14,X15)
& X15 = sk0_2(X14,X13) ) ),
inference(skolemization,[status(esa)],[f25]) ).
fof(f28,plain,
! [X0,X1,X2] :
( pd0_2(X0,sk0_2(X1,X2),X1,X2)
| X0 = sk0_2(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f29,plain,
! [X16,X17,Y23,X18] :
( pd0_3(X18,Y23,X17,X16)
=> ( ~ r4(X16,X17,X18)
& X18 != Y23 ) ),
introduced(predicate_definition,[f4]) ).
fof(f30,plain,
! [X16,X17] :
? [Y23] :
! [X18] :
( pd0_3(X18,Y23,X17,X16)
| ( r4(X16,X17,X18)
& X18 = Y23 ) ),
inference(formula_renaming,[status(thm)],[f4,f29]) ).
fof(f31,plain,
! [X16,X17,X18] :
( pd0_3(X18,sk0_3(X17,X16),X17,X16)
| ( r4(X16,X17,X18)
& X18 = sk0_3(X17,X16) ) ),
inference(skolemization,[status(esa)],[f30]) ).
fof(f33,plain,
! [X0,X1,X2] :
( pd0_3(X0,sk0_3(X1,X2),X1,X2)
| X0 = sk0_3(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f34,plain,
! [X1,X8] :
( r2(X8,sk0_6(X8,X1))
& r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
& sk0_5(X8,X1) = sk0_4(X8,X1)
& r2(sk0_7(X8,X1),sk0_4(X8,X1))
& r3(X1,X8,sk0_7(X8,X1)) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f35,plain,
! [X0,X1] : r2(X0,sk0_6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f36,plain,
! [X0,X1] : r3(X0,sk0_6(X1,X0),sk0_5(X1,X0)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f37,plain,
! [X0,X1] : sk0_5(X0,X1) = sk0_4(X0,X1),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f38,plain,
! [X0,X1] : r2(sk0_7(X0,X1),sk0_4(X0,X1)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f39,plain,
! [X0,X1] : r3(X0,X1,sk0_7(X1,X0)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f40,plain,
! [X2,X9] :
( r2(X9,sk0_10(X9,X2))
& r4(X2,sk0_10(X9,X2),sk0_9(X9,X2))
& sk0_9(X9,X2) = sk0_8(X9,X2)
& r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))
& r4(X2,X9,sk0_11(X9,X2)) ),
inference(skolemization,[status(esa)],[f6]) ).
fof(f41,plain,
! [X0,X1] : r2(X0,sk0_10(X0,X1)),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1] : r4(X0,sk0_10(X1,X0),sk0_9(X1,X0)),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f43,plain,
! [X0,X1] : sk0_9(X0,X1) = sk0_8(X0,X1),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f44,plain,
! [X0,X1] : r3(sk0_11(X0,X1),X1,sk0_8(X0,X1)),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f45,plain,
! [X0,X1] : r4(X0,X1,sk0_11(X1,X0)),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f47,plain,
! [X4] :
( r1(sk0_13(X4))
& r3(X4,sk0_13(X4),sk0_12(X4))
& sk0_12(X4) = X4 ),
inference(skolemization,[status(esa)],[f8]) ).
fof(f48,plain,
! [X0] : r1(sk0_13(X0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0] : r3(X0,sk0_13(X0),sk0_12(X0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
! [X0] : sk0_12(X0) = X0,
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f51,plain,
! [X5] :
( r1(sk0_15(X5))
& r4(X5,sk0_15(X5),sk0_14(X5))
& r1(sk0_16(X5))
& sk0_14(X5) = sk0_16(X5) ),
inference(skolemization,[status(esa)],[f9]) ).
fof(f52,plain,
! [X0] : r1(sk0_15(X0)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f53,plain,
! [X0] : r4(X0,sk0_15(X0),sk0_14(X0)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f54,plain,
! [X0] : r1(sk0_16(X0)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f55,plain,
! [X0] : sk0_14(X0) = sk0_16(X0),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f64,plain,
! [Y1] :
( ! [Y2,Y4] :
( ! [Y6] :
( ! [Y10] :
( ~ r4(Y10,Y2,Y6)
| ! [Y12] :
( ~ r2(Y12,Y10)
| ! [Y14] :
( ~ r1(Y14)
| ~ r2(Y14,Y12) ) ) )
| Y6 != Y1 )
| ! [Y8] :
( ~ r3(Y2,Y4,Y8)
| Y8 != Y1 ) )
| ! [Y3,Y5] :
( Y5 != Y1
| ! [Y7] :
( ~ r3(Y3,Y7,Y5)
| ! [Y9] :
( ~ r2(Y9,Y7)
| ! [Y11] :
( ~ r2(Y11,Y9)
| ! [Y13] :
( ~ r2(Y13,Y11)
| ! [Y15] :
( ~ r1(Y15)
| ~ r2(Y15,Y13) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f65,plain,
! [Y1] :
( ! [Y2] :
( ! [Y6] :
( ! [Y10] :
( ~ r4(Y10,Y2,Y6)
| ! [Y12] :
( ~ r2(Y12,Y10)
| ! [Y14] :
( ~ r1(Y14)
| ~ r2(Y14,Y12) ) ) )
| Y6 != Y1 )
| ! [Y8] :
( ! [Y4] : ~ r3(Y2,Y4,Y8)
| Y8 != Y1 ) )
| ! [Y5] :
( Y5 != Y1
| ! [Y7] :
( ! [Y3] : ~ r3(Y3,Y7,Y5)
| ! [Y9] :
( ~ r2(Y9,Y7)
| ! [Y11] :
( ~ r2(Y11,Y9)
| ! [Y13] :
( ~ r2(Y13,Y11)
| ! [Y15] :
( ~ r1(Y15)
| ~ r2(Y15,Y13) ) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f64]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( ~ r4(X0,X1,X2)
| ~ r2(X3,X0)
| ~ r1(X4)
| ~ r2(X4,X3)
| X2 != X5
| ~ r3(X1,X6,X7)
| X7 != X5
| X8 != X5
| ~ r3(X9,X10,X8)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [Y24,X19] :
( ~ pd0_0(X19,Y24)
| ( ~ r1(X19)
& X19 != Y24 ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f68,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f70,plain,
! [X11,Y21,X12] :
( ~ pd0_1(X12,Y21,X11)
| ( ~ r2(X11,X12)
& X12 != Y21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ pd0_1(X0,X1,X2)
| ~ r2(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f73,plain,
! [X13,X14,Y22,X15] :
( ~ pd0_2(X15,Y22,X14,X13)
| ( ~ r3(X13,X14,X15)
& X15 != Y22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ~ pd0_2(X0,X1,X2,X3)
| ~ r3(X3,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f76,plain,
! [X16,X17,Y23,X18] :
( ~ pd0_3(X18,Y23,X17,X16)
| ( ~ r4(X16,X17,X18)
& X18 != Y23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ pd0_3(X0,X1,X2,X3)
| ~ r4(X3,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ r4(X0,X1,X2)
| ~ r2(X3,X0)
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r3(X1,X5,X2)
| ~ r3(X6,X7,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r1(X11)
| ~ r2(X11,X10) ),
inference(destructive_equality_resolution,[status(esa)],[f66]) ).
fof(f85,plain,
! [X0] : ~ pd0_0(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f69]) ).
fof(f89,plain,
! [X0,X1] : r3(X0,sk0_6(X1,X0),sk0_4(X1,X0)),
inference(backward_demodulation,[status(thm)],[f37,f36]) ).
fof(f90,plain,
! [X0,X1] : r4(X0,sk0_10(X1,X0),sk0_8(X1,X0)),
inference(backward_demodulation,[status(thm)],[f43,f42]) ).
fof(f91,plain,
! [X0] : r3(X0,sk0_13(X0),X0),
inference(backward_demodulation,[status(thm)],[f50,f49]) ).
fof(f92,plain,
! [X0] : r1(sk0_14(X0)),
inference(backward_demodulation,[status(thm)],[f55,f54]) ).
fof(f93,plain,
r1(sk0_0),
inference(resolution,[status(thm)],[f17,f85]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ r4(X0,X1,X2)
| ~ r2(X3,X0)
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r3(X1,X5,X2)
| ~ r3(X6,X7,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(sk0_13(X11),X10) ),
inference(resolution,[status(thm)],[f48,f84]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ r4(X0,X1,X2)
| ~ r2(X3,X0)
| ~ r2(sk0_0,X3)
| ~ r3(X1,X4,X2)
| ~ r3(X5,X6,X2)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(sk0_13(X10),X9) ),
inference(resolution,[status(thm)],[f97,f93]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ r4(X0,X1,X2)
| ~ r2(sk0_10(sk0_0,X3),X0)
| ~ r3(X1,X4,X2)
| ~ r3(X5,X6,X2)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(sk0_13(X10),X9) ),
inference(resolution,[status(thm)],[f41,f99]) ).
fof(f120,plain,
! [X0,X1] : ~ pd0_0(sk0_14(X0),X1),
inference(resolution,[status(thm)],[f68,f92]) ).
fof(f121,plain,
! [X0,X1] : ~ pd0_0(sk0_15(X0),X1),
inference(resolution,[status(thm)],[f68,f52]) ).
fof(f122,plain,
! [X0,X1] : ~ pd0_0(sk0_13(X0),X1),
inference(resolution,[status(thm)],[f68,f48]) ).
fof(f133,plain,
! [X0] : sk0_13(X0) = sk0_0,
inference(resolution,[status(thm)],[f18,f122]) ).
fof(f134,plain,
! [X0] : sk0_15(X0) = sk0_0,
inference(resolution,[status(thm)],[f18,f121]) ).
fof(f135,plain,
! [X0] : sk0_14(X0) = sk0_0,
inference(resolution,[status(thm)],[f18,f120]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r4(X0,X1,X2)
| ~ r2(sk0_10(sk0_0,X3),X0)
| ~ r3(X1,X4,X2)
| ~ r3(X5,X6,X2)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(sk0_0,X9) ),
inference(backward_demodulation,[status(thm)],[f133,f117]) ).
fof(f160,plain,
! [X0] : r3(X0,sk0_0,X0),
inference(backward_demodulation,[status(thm)],[f133,f91]) ).
fof(f171,plain,
! [X0] : r4(X0,sk0_0,sk0_14(X0)),
inference(backward_demodulation,[status(thm)],[f134,f53]) ).
fof(f172,plain,
! [X0] : r4(X0,sk0_0,sk0_0),
inference(forward_demodulation,[status(thm)],[f135,f171]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r4(X0,X1,X2)
| ~ r2(sk0_10(sk0_0,X3),X0)
| ~ r3(X1,X4,X2)
| ~ r3(X5,X6,X2)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(sk0_10(sk0_0,X9),X8) ),
inference(resolution,[status(thm)],[f146,f41]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r4(X0,X1,X2)
| ~ r2(sk0_10(sk0_0,X3),X0)
| ~ r3(X1,X4,X2)
| ~ r3(X5,X6,X2)
| ~ r2(X7,X6)
| ~ r2(sk0_10(sk0_10(sk0_0,X8),X9),X7) ),
inference(resolution,[status(thm)],[f178,f41]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r4(sk0_6(sk0_10(sk0_0,X0),X1),X2,X3)
| ~ r3(X2,X4,X3)
| ~ r3(X5,X6,X3)
| ~ r2(X7,X6)
| ~ r2(sk0_10(sk0_10(sk0_0,X8),X9),X7) ),
inference(resolution,[status(thm)],[f180,f35]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r4(sk0_6(sk0_10(sk0_0,X0),X1),X2,X3)
| ~ r3(X2,X4,X3)
| ~ r3(X5,X6,X3)
| ~ r2(sk0_10(sk0_10(sk0_10(sk0_0,X7),X8),X9),X6) ),
inference(resolution,[status(thm)],[f183,f41]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r4(sk0_6(sk0_10(sk0_0,X0),X1),X2,X3)
| ~ r3(X2,X4,X3)
| ~ r3(X5,sk0_10(sk0_10(sk0_10(sk0_10(sk0_0,X6),X7),X8),X9),X3) ),
inference(resolution,[status(thm)],[f192,f41]) ).
fof(f367,plain,
! [X0,X1,X2] : ~ pd0_1(sk0_10(X0,X1),X2,X0),
inference(resolution,[status(thm)],[f71,f41]) ).
fof(f368,plain,
! [X0,X1,X2] : ~ pd0_1(sk0_6(X0,X1),X2,X0),
inference(resolution,[status(thm)],[f71,f35]) ).
fof(f370,plain,
! [X0,X1] : sk0_10(X0,X1) = sk0_1(X0),
inference(resolution,[status(thm)],[f367,f23]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ r4(sk0_6(sk0_10(sk0_0,X0),X1),X2,X3)
| ~ r3(X2,X4,X3)
| ~ r3(X5,sk0_1(sk0_10(sk0_10(sk0_10(sk0_0,X6),X7),X8)),X3) ),
inference(backward_demodulation,[status(thm)],[f370,f194]) ).
fof(f439,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r4(sk0_6(sk0_1(sk0_0),X0),X1,X2)
| ~ r3(X1,X3,X2)
| ~ r3(X4,sk0_1(sk0_10(sk0_10(sk0_10(sk0_0,X5),X6),X7)),X2) ),
inference(forward_demodulation,[status(thm)],[f370,f438]) ).
fof(f440,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r4(sk0_6(sk0_1(sk0_0),X0),X1,X2)
| ~ r3(X1,X3,X2)
| ~ r3(X4,sk0_1(sk0_1(sk0_10(sk0_10(sk0_0,X5),X6))),X2) ),
inference(forward_demodulation,[status(thm)],[f370,f439]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r4(sk0_6(sk0_1(sk0_0),X0),X1,X2)
| ~ r3(X1,X3,X2)
| ~ r3(X4,sk0_1(sk0_1(sk0_1(sk0_10(sk0_0,X5)))),X2) ),
inference(forward_demodulation,[status(thm)],[f370,f440]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_6(sk0_1(sk0_0),X0),X1,X2)
| ~ r3(X1,X3,X2)
| ~ r3(X4,sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X2) ),
inference(forward_demodulation,[status(thm)],[f370,f441]) ).
fof(f706,plain,
! [X0,X1] : r4(X0,sk0_1(X1),sk0_8(X1,X0)),
inference(backward_demodulation,[status(thm)],[f370,f90]) ).
fof(f767,plain,
! [X0,X1,X2,X3] :
( ~ r4(sk0_6(sk0_1(sk0_0),X0),X1,sk0_7(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X2))
| ~ r3(X1,X3,sk0_7(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X2)) ),
inference(resolution,[status(thm)],[f442,f39]) ).
fof(f883,plain,
! [X0,X1] : sk0_6(X0,X1) = sk0_1(X0),
inference(resolution,[status(thm)],[f368,f23]) ).
fof(f967,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_7(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1))
| ~ r3(X0,X2,sk0_7(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1)) ),
inference(backward_demodulation,[status(thm)],[f883,f767]) ).
fof(f1051,plain,
! [X0,X1] : r3(X0,sk0_1(X1),sk0_4(X1,X0)),
inference(backward_demodulation,[status(thm)],[f883,f89]) ).
fof(f1053,plain,
! [X0,X1,X2] : ~ pd0_1(sk0_4(X0,X1),X2,sk0_7(X0,X1)),
inference(resolution,[status(thm)],[f38,f71]) ).
fof(f1074,plain,
! [X0,X1,X2] : ~ pd0_2(sk0_8(X0,X1),X2,X1,sk0_11(X0,X1)),
inference(resolution,[status(thm)],[f74,f44]) ).
fof(f1075,plain,
! [X0,X1,X2] : ~ pd0_2(sk0_4(X0,X1),X2,sk0_1(X0),X1),
inference(resolution,[status(thm)],[f74,f1051]) ).
fof(f1076,plain,
! [X0,X1] : ~ pd0_2(X0,X1,sk0_0,X0),
inference(resolution,[status(thm)],[f74,f160]) ).
fof(f1078,plain,
! [X0,X1,X2] : ~ pd0_2(sk0_7(X0,X1),X2,X0,X1),
inference(resolution,[status(thm)],[f74,f39]) ).
fof(f1079,plain,
! [X0] : X0 = sk0_2(sk0_0,X0),
inference(resolution,[status(thm)],[f1076,f28]) ).
fof(f1081,plain,
! [X0,X1,X2] : ~ pd0_3(sk0_8(X0,X1),X2,sk0_1(X0),X1),
inference(resolution,[status(thm)],[f77,f706]) ).
fof(f1082,plain,
! [X0,X1] : ~ pd0_3(sk0_0,X0,sk0_0,X1),
inference(resolution,[status(thm)],[f77,f172]) ).
fof(f1084,plain,
! [X0,X1,X2] : ~ pd0_3(sk0_11(X0,X1),X2,X0,X1),
inference(resolution,[status(thm)],[f77,f45]) ).
fof(f1085,plain,
! [X0,X1] : sk0_4(X0,X1) = sk0_1(sk0_7(X0,X1)),
inference(resolution,[status(thm)],[f1053,f23]) ).
fof(f1240,plain,
! [X0] : sk0_0 = sk0_3(sk0_0,X0),
inference(resolution,[status(thm)],[f1082,f33]) ).
fof(f1261,plain,
! [X0,X1] : sk0_7(X0,X1) = sk0_2(X0,X1),
inference(resolution,[status(thm)],[f1078,f28]) ).
fof(f1264,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_7(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1))
| ~ r3(X0,X2,sk0_2(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1)) ),
inference(backward_demodulation,[status(thm)],[f1261,f967]) ).
fof(f1265,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_2(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1))
| ~ r3(X0,X2,sk0_2(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1)) ),
inference(forward_demodulation,[status(thm)],[f1261,f1264]) ).
fof(f1269,plain,
! [X0,X1] : r2(sk0_2(X0,X1),sk0_4(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1261,f38]) ).
fof(f1271,plain,
! [X0,X1] : sk0_4(X0,X1) = sk0_1(sk0_2(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1261,f1085]) ).
fof(f1274,plain,
! [X0,X1] : sk0_11(X0,X1) = sk0_3(X0,X1),
inference(resolution,[status(thm)],[f1084,f33]) ).
fof(f1280,plain,
! [X0,X1] : r3(sk0_3(X0,X1),X1,sk0_8(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1274,f44]) ).
fof(f1282,plain,
! [X0,X1,X2] : ~ pd0_2(sk0_8(X0,X1),X2,X1,sk0_3(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1274,f1074]) ).
fof(f1312,plain,
! [X0] : r2(X0,sk0_4(sk0_0,X0)),
inference(paramodulation,[status(thm)],[f1079,f1269]) ).
fof(f1337,plain,
! [X0,X1] : ~ pd0_1(sk0_4(sk0_0,X0),X1,X0),
inference(resolution,[status(thm)],[f1312,f71]) ).
fof(f1339,plain,
! [X0] : sk0_4(sk0_0,X0) = sk0_1(X0),
inference(resolution,[status(thm)],[f1337,f23]) ).
fof(f1371,plain,
! [X0] : r3(X0,sk0_1(sk0_0),sk0_1(X0)),
inference(paramodulation,[status(thm)],[f1339,f1051]) ).
fof(f1382,plain,
! [X0,X1] : ~ pd0_2(sk0_1(X0),X1,sk0_1(sk0_0),X0),
inference(resolution,[status(thm)],[f1371,f74]) ).
fof(f1384,plain,
! [X0,X1] : sk0_4(X0,X1) = sk0_2(sk0_1(X0),X1),
inference(resolution,[status(thm)],[f1075,f28]) ).
fof(f1388,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_2(sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))),X1))
| ~ r3(X0,X2,sk0_4(sk0_1(sk0_1(sk0_1(sk0_0))),X1)) ),
inference(backward_demodulation,[status(thm)],[f1384,f1265]) ).
fof(f1389,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_4(sk0_1(sk0_1(sk0_1(sk0_0))),X1))
| ~ r3(X0,X2,sk0_4(sk0_1(sk0_1(sk0_1(sk0_0))),X1)) ),
inference(forward_demodulation,[status(thm)],[f1384,f1388]) ).
fof(f1390,plain,
! [X0,X1,X2] : sk0_4(sk0_2(X0,X1),X2) = sk0_2(sk0_4(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1271,f1384]) ).
fof(f1391,plain,
! [X0,X1] : sk0_4(sk0_1(X0),X1) = sk0_1(sk0_4(X0,X1)),
inference(paramodulation,[status(thm)],[f1384,f1271]) ).
fof(f1396,plain,
! [X0,X1,X2] :
( pd0_2(X0,sk0_4(X1,X2),sk0_1(X1),X2)
| X0 = sk0_2(sk0_1(X1),X2) ),
inference(paramodulation,[status(thm)],[f1384,f28]) ).
fof(f1397,plain,
! [X0,X1,X2] :
( pd0_2(X0,sk0_4(X1,X2),sk0_1(X1),X2)
| X0 = sk0_4(X1,X2) ),
inference(forward_demodulation,[status(thm)],[f1384,f1396]) ).
fof(f1401,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_4(sk0_1(sk0_1(sk0_1(sk0_0))),X1))
| ~ r3(X0,X2,sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),X1))) ),
inference(backward_demodulation,[status(thm)],[f1391,f1389]) ).
fof(f1402,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),X1)))
| ~ r3(X0,X2,sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),X1))) ),
inference(forward_demodulation,[status(thm)],[f1391,f1401]) ).
fof(f1403,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_4(sk0_1(sk0_0),X1))))
| ~ r3(X0,X2,sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),X1))) ),
inference(forward_demodulation,[status(thm)],[f1391,f1402]) ).
fof(f1404,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_4(sk0_0,X1)))))
| ~ r3(X0,X2,sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),X1))) ),
inference(forward_demodulation,[status(thm)],[f1391,f1403]) ).
fof(f1405,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_1(X1)))))
| ~ r3(X0,X2,sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),X1))) ),
inference(forward_demodulation,[status(thm)],[f1339,f1404]) ).
fof(f1406,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_1(X1)))))
| ~ r3(X0,X2,sk0_1(sk0_1(sk0_4(sk0_1(sk0_0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1391,f1405]) ).
fof(f1407,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_1(X1)))))
| ~ r3(X0,X2,sk0_1(sk0_1(sk0_1(sk0_4(sk0_0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1391,f1406]) ).
fof(f1408,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_1(X1)))))
| ~ r3(X0,X2,sk0_1(sk0_1(sk0_1(sk0_1(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1339,f1407]) ).
fof(f1410,plain,
! [X0] : r3(sk0_0,X0,sk0_8(sk0_0,X0)),
inference(paramodulation,[status(thm)],[f1240,f1280]) ).
fof(f1411,plain,
! [X0,X1] : sk0_8(X0,X1) = sk0_3(sk0_1(X0),X1),
inference(resolution,[status(thm)],[f1081,f33]) ).
fof(f1889,plain,
! [X0,X1,X2,X3] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_4(X1,X2)))))
| ~ r3(X0,X3,sk0_1(sk0_1(sk0_1(sk0_1(sk0_2(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1271,f1408]) ).
fof(f1890,plain,
! [X0,X1,X2,X3] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_4(X1,X2)))))
| ~ r3(X0,X3,sk0_1(sk0_1(sk0_1(sk0_4(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f1271,f1889]) ).
fof(f2023,plain,
! [X0,X1] : ~ pd0_2(sk0_8(sk0_0,X0),X1,X0,sk0_0),
inference(resolution,[status(thm)],[f1410,f74]) ).
fof(f2024,plain,
! [X0,X1,X2] : sk0_8(sk0_2(X0,X1),X2) = sk0_3(sk0_4(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1271,f1411]) ).
fof(f2031,plain,
! [X0,X1,X2] :
( pd0_3(X0,sk0_8(X1,X2),sk0_1(X1),X2)
| X0 = sk0_3(sk0_1(X1),X2) ),
inference(paramodulation,[status(thm)],[f1411,f33]) ).
fof(f2032,plain,
! [X0,X1,X2] :
( pd0_3(X0,sk0_8(X1,X2),sk0_1(X1),X2)
| X0 = sk0_8(X1,X2) ),
inference(forward_demodulation,[status(thm)],[f1411,f2031]) ).
fof(f2063,plain,
! [X0] : sk0_1(X0) = sk0_2(sk0_1(sk0_0),X0),
inference(resolution,[status(thm)],[f1382,f28]) ).
fof(f2065,plain,
! [X0,X1,X2] : ~ pd0_2(sk0_4(X0,X1),X2,sk0_1(sk0_0),sk0_2(X0,X1)),
inference(paramodulation,[status(thm)],[f1271,f1382]) ).
fof(f2071,plain,
! [X0] : sk0_4(sk0_1(sk0_0),X0) = sk0_1(sk0_1(X0)),
inference(paramodulation,[status(thm)],[f2063,f1271]) ).
fof(f2079,plain,
! [X0] : sk0_8(sk0_0,X0) = sk0_2(X0,sk0_0),
inference(resolution,[status(thm)],[f2023,f28]) ).
fof(f2094,plain,
! [X0,X1] : sk0_8(X0,X1) = sk0_2(X1,sk0_3(X0,X1)),
inference(resolution,[status(thm)],[f1282,f28]) ).
fof(f2529,plain,
! [X0,X1] : ~ pd0_3(sk0_2(X0,sk0_0),X1,sk0_1(sk0_0),X0),
inference(paramodulation,[status(thm)],[f2079,f1081]) ).
fof(f2681,plain,
! [X0,X1] : sk0_8(X0,sk0_1(X1)) = sk0_4(X1,sk0_3(X0,sk0_1(X1))),
inference(paramodulation,[status(thm)],[f1384,f2094]) ).
fof(f2684,plain,
! [X0,X1] : sk0_8(sk0_1(X0),X1) = sk0_2(X1,sk0_8(X0,X1)),
inference(paramodulation,[status(thm)],[f1411,f2094]) ).
fof(f3486,plain,
! [X0] : sk0_2(X0,sk0_0) = sk0_3(sk0_1(sk0_0),X0),
inference(resolution,[status(thm)],[f2529,f33]) ).
fof(f3488,plain,
! [X0] : ~ pd0_3(sk0_1(sk0_0),X0,sk0_1(sk0_0),sk0_1(sk0_0)),
inference(paramodulation,[status(thm)],[f2063,f2529]) ).
fof(f3502,plain,
! [X0] : sk0_8(sk0_1(sk0_0),X0) = sk0_2(X0,sk0_2(X0,sk0_0)),
inference(paramodulation,[status(thm)],[f3486,f2094]) ).
fof(f3579,plain,
! [X0,X1] : sk0_8(sk0_1(X0),sk0_1(X1)) = sk0_4(X1,sk0_8(X0,sk0_1(X1))),
inference(paramodulation,[status(thm)],[f1384,f2684]) ).
fof(f3768,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_2(sk0_4(X1,X2),X3)))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_1(sk0_4(sk0_2(X1,X2),X3))))) ),
inference(paramodulation,[status(thm)],[f1390,f1890]) ).
fof(f3769,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_4(sk0_4(X1,X2),X3))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_1(sk0_4(sk0_2(X1,X2),X3))))) ),
inference(forward_demodulation,[status(thm)],[f1271,f3768]) ).
fof(f3770,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_4(sk0_4(X1,X2),X3))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_1(sk0_2(sk0_4(X1,X2),X3))))) ),
inference(forward_demodulation,[status(thm)],[f1390,f3769]) ).
fof(f3771,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_4(sk0_4(X1,X2),X3))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_4(sk0_4(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f1271,f3770]) ).
fof(f3803,plain,
! [X0,X1,X2,X3] : ~ pd0_2(sk0_3(sk0_4(X0,X1),X2),X3,X2,sk0_3(sk0_2(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f2024,f1282]) ).
fof(f6200,plain,
! [X0,X1] : ~ pd0_2(sk0_1(sk0_1(X0)),X1,sk0_1(sk0_1(sk0_0)),X0),
inference(paramodulation,[status(thm)],[f2071,f1075]) ).
fof(f6204,plain,
! [X0] : r3(X0,sk0_1(sk0_1(sk0_0)),sk0_1(sk0_1(X0))),
inference(paramodulation,[status(thm)],[f2071,f1051]) ).
fof(f6344,plain,
! [X0,X1,X2] : sk0_8(X0,sk0_1(sk0_2(X1,X2))) = sk0_4(sk0_2(X1,X2),sk0_3(X0,sk0_4(X1,X2))),
inference(paramodulation,[status(thm)],[f1271,f2681]) ).
fof(f6345,plain,
! [X0,X1,X2] : sk0_8(X0,sk0_4(X1,X2)) = sk0_4(sk0_2(X1,X2),sk0_3(X0,sk0_4(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1271,f6344]) ).
fof(f7920,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_4(X2,X3))))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_4(sk0_4(X2,X3),sk0_3(X1,sk0_1(sk0_4(X2,X3))))))) ),
inference(paramodulation,[status(thm)],[f2681,f3771]) ).
fof(f7921,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_4(X2,X3))))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_4(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f2681,f7920]) ).
fof(f8655,plain,
sk0_1(sk0_0) = sk0_8(sk0_0,sk0_1(sk0_0)),
inference(resolution,[status(thm)],[f3488,f2032]) ).
fof(f8778,plain,
! [X0] : sk0_8(sk0_1(X0),sk0_1(sk0_1(sk0_0))) = sk0_1(sk0_1(sk0_8(X0,sk0_1(sk0_1(sk0_0))))),
inference(paramodulation,[status(thm)],[f2071,f3579]) ).
fof(f10393,plain,
! [X0,X1] : sk0_4(X0,X1) = sk0_4(sk0_0,sk0_2(X0,X1)),
inference(resolution,[status(thm)],[f2065,f1397]) ).
fof(f10443,plain,
! [X0] : sk0_4(sk0_1(sk0_0),X0) = sk0_4(sk0_0,sk0_1(X0)),
inference(paramodulation,[status(thm)],[f2063,f10393]) ).
fof(f11034,plain,
! [X0] : sk0_1(sk0_1(X0)) = sk0_2(sk0_1(sk0_1(sk0_0)),X0),
inference(resolution,[status(thm)],[f6200,f28]) ).
fof(f11047,plain,
sk0_1(sk0_1(sk0_2(sk0_1(sk0_1(sk0_0)),sk0_0))) = sk0_8(sk0_1(sk0_0),sk0_1(sk0_1(sk0_0))),
inference(paramodulation,[status(thm)],[f3502,f11034]) ).
fof(f11048,plain,
sk0_1(sk0_4(sk0_1(sk0_1(sk0_0)),sk0_0)) = sk0_8(sk0_1(sk0_0),sk0_1(sk0_1(sk0_0))),
inference(forward_demodulation,[status(thm)],[f1271,f11047]) ).
fof(f11049,plain,
sk0_1(sk0_1(sk0_4(sk0_1(sk0_0),sk0_0))) = sk0_8(sk0_1(sk0_0),sk0_1(sk0_1(sk0_0))),
inference(forward_demodulation,[status(thm)],[f1391,f11048]) ).
fof(f11050,plain,
sk0_1(sk0_1(sk0_4(sk0_0,sk0_1(sk0_0)))) = sk0_8(sk0_1(sk0_0),sk0_1(sk0_1(sk0_0))),
inference(forward_demodulation,[status(thm)],[f10443,f11049]) ).
fof(f11051,plain,
sk0_1(sk0_1(sk0_1(sk0_1(sk0_0)))) = sk0_8(sk0_1(sk0_0),sk0_1(sk0_1(sk0_0))),
inference(forward_demodulation,[status(thm)],[f1339,f11050]) ).
fof(f13441,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_8(X2,sk0_1(X3)))))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_4(X3,sk0_3(X2,sk0_1(X3)))))))) ),
inference(paramodulation,[status(thm)],[f2681,f7921]) ).
fof(f13442,plain,
! [X0,X1,X2,X3,X4] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_8(X2,sk0_1(X3)))))))
| ~ r3(X0,X4,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_8(X2,sk0_1(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f2681,f13441]) ).
fof(f25492,plain,
! [X0,X1,X2] : sk0_3(sk0_4(X0,X1),X2) = sk0_2(X2,sk0_3(sk0_2(X0,X1),X2)),
inference(resolution,[status(thm)],[f3803,f28]) ).
fof(f35713,plain,
! [X0,X1] : sk0_3(sk0_4(sk0_0,X0),X1) = sk0_2(X1,sk0_3(X0,X1)),
inference(paramodulation,[status(thm)],[f1079,f25492]) ).
fof(f35714,plain,
! [X0,X1] : sk0_3(sk0_1(X0),X1) = sk0_2(X1,sk0_3(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1339,f35713]) ).
fof(f35940,plain,
! [X0,X1] : sk0_3(sk0_1(X0),sk0_1(X1)) = sk0_4(X1,sk0_3(X0,sk0_1(X1))),
inference(paramodulation,[status(thm)],[f1384,f35714]) ).
fof(f76499,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_1(sk0_0))))))
| ~ r3(X0,X2,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_8(sk0_0,sk0_1(sk0_0))))))) ),
inference(paramodulation,[status(thm)],[f8655,f13442]) ).
fof(f76500,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_8(sk0_1(X1),sk0_1(sk0_1(sk0_0))))
| ~ r3(X0,X2,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_8(sk0_0,sk0_1(sk0_0))))))) ),
inference(forward_demodulation,[status(thm)],[f8778,f76499]) ).
fof(f76501,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_8(sk0_1(X1),sk0_1(sk0_1(sk0_0))))
| ~ r3(X0,X2,sk0_1(sk0_1(sk0_8(X1,sk0_1(sk0_1(sk0_0)))))) ),
inference(forward_demodulation,[status(thm)],[f8655,f76500]) ).
fof(f76502,plain,
! [X0,X1,X2] :
( ~ r4(sk0_1(sk0_1(sk0_0)),X0,sk0_8(sk0_1(X1),sk0_1(sk0_1(sk0_0))))
| ~ r3(X0,X2,sk0_8(sk0_1(X1),sk0_1(sk0_1(sk0_0)))) ),
inference(forward_demodulation,[status(thm)],[f8778,f76501]) ).
fof(f76544,plain,
! [X0,X1] : ~ r3(sk0_1(sk0_1(X0)),X1,sk0_8(sk0_1(X0),sk0_1(sk0_1(sk0_0)))),
inference(resolution,[status(thm)],[f76502,f706]) ).
fof(f76623,plain,
! [X0,X1,X2] : ~ r3(sk0_1(sk0_4(X0,X1)),X2,sk0_8(sk0_1(sk0_2(X0,X1)),sk0_1(sk0_1(sk0_0)))),
inference(paramodulation,[status(thm)],[f1271,f76544]) ).
fof(f76624,plain,
! [X0,X1,X2] : ~ r3(sk0_1(sk0_4(X0,X1)),X2,sk0_8(sk0_4(X0,X1),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1271,f76623]) ).
fof(f76678,plain,
! [X0,X1,X2,X3] : ~ r3(sk0_1(sk0_8(X0,sk0_4(X1,X2))),X3,sk0_8(sk0_4(sk0_2(X1,X2),sk0_3(X0,sk0_4(X1,X2))),sk0_1(sk0_1(sk0_0)))),
inference(paramodulation,[status(thm)],[f6345,f76624]) ).
fof(f76679,plain,
! [X0,X1,X2,X3] : ~ r3(sk0_1(sk0_8(X0,sk0_4(X1,X2))),X3,sk0_8(sk0_8(X0,sk0_4(X1,X2)),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f6345,f76678]) ).
fof(f77332,plain,
! [X0,X1,X2,X3] : ~ r3(sk0_1(sk0_8(X0,sk0_3(sk0_1(X1),sk0_1(X2)))),X3,sk0_8(sk0_8(X0,sk0_4(X2,sk0_3(X1,sk0_1(X2)))),sk0_1(sk0_1(sk0_0)))),
inference(paramodulation,[status(thm)],[f35940,f76679]) ).
fof(f77333,plain,
! [X0,X1,X2,X3] : ~ r3(sk0_1(sk0_8(X0,sk0_8(X1,sk0_1(X2)))),X3,sk0_8(sk0_8(X0,sk0_4(X2,sk0_3(X1,sk0_1(X2)))),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1411,f77332]) ).
fof(f77334,plain,
! [X0,X1,X2,X3] : ~ r3(sk0_1(sk0_8(X0,sk0_8(X1,sk0_1(X2)))),X3,sk0_8(sk0_8(X0,sk0_3(sk0_1(X1),sk0_1(X2))),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f35940,f77333]) ).
fof(f77335,plain,
! [X0,X1,X2,X3] : ~ r3(sk0_1(sk0_8(X0,sk0_8(X1,sk0_1(X2)))),X3,sk0_8(sk0_8(X0,sk0_8(X1,sk0_1(X2))),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1411,f77334]) ).
fof(f78443,plain,
! [X0,X1,X2] : ~ r3(sk0_1(sk0_2(sk0_8(X0,sk0_1(X1)),sk0_0)),X2,sk0_8(sk0_8(sk0_0,sk0_8(X0,sk0_1(X1))),sk0_1(sk0_1(sk0_0)))),
inference(paramodulation,[status(thm)],[f2079,f77335]) ).
fof(f78444,plain,
! [X0,X1,X2] : ~ r3(sk0_4(sk0_8(X0,sk0_1(X1)),sk0_0),X2,sk0_8(sk0_8(sk0_0,sk0_8(X0,sk0_1(X1))),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1271,f78443]) ).
fof(f78445,plain,
! [X0,X1,X2] : ~ r3(sk0_4(sk0_8(X0,sk0_1(X1)),sk0_0),X2,sk0_8(sk0_2(sk0_8(X0,sk0_1(X1)),sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f2079,f78444]) ).
fof(f78446,plain,
! [X0,X1,X2] : ~ r3(sk0_4(sk0_8(X0,sk0_1(X1)),sk0_0),X2,sk0_3(sk0_4(sk0_8(X0,sk0_1(X1)),sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f2024,f78445]) ).
fof(f78580,plain,
! [X0] : ~ r3(sk0_4(sk0_1(sk0_0),sk0_0),X0,sk0_3(sk0_4(sk0_8(sk0_0,sk0_1(sk0_0)),sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(paramodulation,[status(thm)],[f8655,f78446]) ).
fof(f78581,plain,
! [X0] : ~ r3(sk0_4(sk0_0,sk0_1(sk0_0)),X0,sk0_3(sk0_4(sk0_8(sk0_0,sk0_1(sk0_0)),sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f10443,f78580]) ).
fof(f78582,plain,
! [X0] : ~ r3(sk0_1(sk0_1(sk0_0)),X0,sk0_3(sk0_4(sk0_8(sk0_0,sk0_1(sk0_0)),sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1339,f78581]) ).
fof(f78583,plain,
! [X0] : ~ r3(sk0_1(sk0_1(sk0_0)),X0,sk0_3(sk0_4(sk0_1(sk0_0),sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f8655,f78582]) ).
fof(f78584,plain,
! [X0] : ~ r3(sk0_1(sk0_1(sk0_0)),X0,sk0_3(sk0_4(sk0_0,sk0_1(sk0_0)),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f10443,f78583]) ).
fof(f78585,plain,
! [X0] : ~ r3(sk0_1(sk0_1(sk0_0)),X0,sk0_3(sk0_1(sk0_1(sk0_0)),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1339,f78584]) ).
fof(f78586,plain,
! [X0] : ~ r3(sk0_1(sk0_1(sk0_0)),X0,sk0_8(sk0_1(sk0_0),sk0_1(sk0_1(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f1411,f78585]) ).
fof(f78587,plain,
! [X0] : ~ r3(sk0_1(sk0_1(sk0_0)),X0,sk0_1(sk0_1(sk0_1(sk0_1(sk0_0))))),
inference(forward_demodulation,[status(thm)],[f11051,f78586]) ).
fof(f78722,plain,
$false,
inference(resolution,[status(thm)],[f78587,f6204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUN058+2 : TPTP v8.1.2. Released v7.3.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n002.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 10:58:43 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 187.71/24.09 % Refutation found
% 187.71/24.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 187.71/24.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 188.91/24.30 % Elapsed time: 23.935840 seconds
% 188.91/24.30 % CPU time: 188.795438 seconds
% 188.91/24.30 % Memory used: 841.529 MB
%------------------------------------------------------------------------------