TSTP Solution File: KLE159+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KLE159+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:24:32 EDT 2024
% Result : Theorem 119.86s 15.49s
% Output : CNFRefutation 121.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of formulae : 114 ( 79 unt; 0 def)
% Number of atoms : 153 ( 93 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 47 ~; 30 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 197 ( 194 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : addition(one,multiplication(star(A),A)) = star(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,C),B),C)
=> leq(multiplication(star(A),B),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( leq(addition(multiplication(C,A),B),C)
=> leq(multiplication(B,star(A)),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [X0,X1,X2] :
( leq(multiplication(X0,X1),multiplication(X2,X0))
=> leq(multiplication(X0,star(X1)),multiplication(star(X2),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( leq(multiplication(X0,X1),multiplication(X2,X0))
=> leq(multiplication(X0,star(X1)),multiplication(star(X2),X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f24,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f32,plain,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f33,plain,
! [A,B,C] :
( ~ leq(addition(multiplication(A,C),B),C)
| leq(multiplication(star(A),B),C) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [A,B,C] :
( ~ leq(addition(multiplication(C,A),B),C)
| leq(multiplication(B,star(A)),C) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f41,plain,
! [A,B] :
( ( ~ leq(A,B)
| addition(A,B) = B )
& ( leq(A,B)
| addition(A,B) != B ) ),
inference(NNF_transformation,[status(esa)],[f18]) ).
fof(f42,plain,
( ! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B )
& ! [A,B] :
( leq(A,B)
| addition(A,B) != B ) ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
? [X0,X1,X2] :
( leq(multiplication(X0,X1),multiplication(X2,X0))
& ~ leq(multiplication(X0,star(X1)),multiplication(star(X2),X0)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f46,plain,
( leq(multiplication(sk0_0,sk0_1),multiplication(sk0_2,sk0_0))
& ~ leq(multiplication(sk0_0,star(sk0_1)),multiplication(star(sk0_2),sk0_0)) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
leq(multiplication(sk0_0,sk0_1),multiplication(sk0_2,sk0_0)),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
~ leq(multiplication(sk0_0,star(sk0_1)),multiplication(star(sk0_2),sk0_0)),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f50,plain,
addition(multiplication(sk0_0,sk0_1),multiplication(sk0_2,sk0_0)) = multiplication(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f43,f47]) ).
fof(f66,plain,
~ leq(addition(multiplication(multiplication(star(sk0_2),sk0_0),sk0_1),sk0_0),multiplication(star(sk0_2),sk0_0)),
inference(resolution,[status(thm)],[f36,f48]) ).
fof(f67,plain,
~ leq(addition(sk0_0,multiplication(multiplication(star(sk0_2),sk0_0),sk0_1)),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f21,f66]) ).
fof(f68,plain,
~ leq(addition(sk0_0,multiplication(star(sk0_2),multiplication(sk0_0,sk0_1))),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f25,f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| addition(multiplication(X2,star(X1)),X0) = X0 ),
inference(resolution,[status(thm)],[f36,f43]) ).
fof(f135,plain,
! [X0] : leq(X0,X0),
inference(resolution,[status(thm)],[f24,f44]) ).
fof(f192,plain,
! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| addition(multiplication(X1,star(one)),X0) = X0 ),
inference(paramodulation,[status(thm)],[f26,f69]) ).
fof(f319,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X1,X0) != X1 ),
inference(paramodulation,[status(thm)],[f21,f44]) ).
fof(f407,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f417,plain,
! [X0] : addition(multiplication(sk0_0,sk0_1),addition(multiplication(sk0_2,sk0_0),X0)) = addition(multiplication(sk0_2,sk0_0),X0),
inference(paramodulation,[status(thm)],[f50,f22]) ).
fof(f419,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f420,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f419]) ).
fof(f423,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f429,plain,
! [X0,X1,X2] :
( leq(addition(X0,X1),X2)
| addition(X0,addition(X1,X2)) != X2 ),
inference(paramodulation,[status(thm)],[f22,f44]) ).
fof(f430,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f28]) ).
fof(f431,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[status(thm)],[f28,f430]) ).
fof(f444,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f454,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f455,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(X0,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f21,f454]) ).
fof(f487,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f522,plain,
! [X0] : addition(multiplication(sk0_0,sk0_1),multiplication(addition(sk0_2,X0),sk0_0)) = addition(multiplication(sk0_2,sk0_0),multiplication(X0,sk0_0)),
inference(paramodulation,[status(thm)],[f29,f417]) ).
fof(f523,plain,
! [X0] : addition(multiplication(sk0_0,sk0_1),multiplication(addition(sk0_2,X0),sk0_0)) = multiplication(addition(sk0_2,X0),sk0_0),
inference(forward_demodulation,[status(thm)],[f29,f522]) ).
fof(f1043,plain,
! [X0,X1,X2] :
( leq(addition(X0,X1),X2)
| addition(X1,addition(X0,X2)) != X2 ),
inference(paramodulation,[status(thm)],[f21,f429]) ).
fof(f1067,plain,
! [X0,X1,X2] :
( addition(X0,addition(X1,X2)) != X2
| addition(addition(X1,X0),X2) = X2 ),
inference(resolution,[status(thm)],[f1043,f43]) ).
fof(f1068,plain,
! [X0,X1,X2] :
( addition(X0,addition(X1,X2)) != X2
| addition(X1,addition(X0,X2)) = X2 ),
inference(forward_demodulation,[status(thm)],[f22,f1067]) ).
fof(f1098,plain,
! [X0,X1,X2] :
( addition(addition(X0,X1),X2) != X1
| addition(X0,addition(X2,X1)) = X1 ),
inference(paramodulation,[status(thm)],[f21,f1068]) ).
fof(f1099,plain,
! [X0,X1,X2] :
( addition(X0,addition(X1,X2)) != X1
| addition(X0,addition(X2,X1)) = X1 ),
inference(forward_demodulation,[status(thm)],[f22,f1098]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( addition(addition(X0,X1),X2) != X0
| addition(X2,addition(X1,X0)) = X0 ),
inference(paramodulation,[status(thm)],[f21,f1099]) ).
fof(f1221,plain,
! [X0,X1,X2] :
( addition(X0,addition(X1,X2)) != X0
| addition(X2,addition(X1,X0)) = X0 ),
inference(forward_demodulation,[status(thm)],[f22,f1220]) ).
fof(f1300,plain,
! [X0,X1] : addition(X0,addition(X1,addition(X1,X0))) = addition(X1,X0),
inference(resolution,[status(thm)],[f1221,f24]) ).
fof(f1301,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X1,X0),
inference(forward_demodulation,[status(thm)],[f423,f1300]) ).
fof(f1339,plain,
! [X0,X1] : leq(X0,addition(X1,X0)),
inference(resolution,[status(thm)],[f1301,f44]) ).
fof(f1345,plain,
! [X0] : addition(multiplication(star(X0),X0),star(X0)) = addition(one,multiplication(star(X0),X0)),
inference(paramodulation,[status(thm)],[f32,f1301]) ).
fof(f1346,plain,
! [X0] : addition(star(X0),multiplication(star(X0),X0)) = addition(one,multiplication(star(X0),X0)),
inference(forward_demodulation,[status(thm)],[f21,f1345]) ).
fof(f1347,plain,
! [X0] : multiplication(star(X0),addition(X0,one)) = addition(one,multiplication(star(X0),X0)),
inference(forward_demodulation,[status(thm)],[f455,f1346]) ).
fof(f1348,plain,
! [X0] : multiplication(star(X0),addition(X0,one)) = star(X0),
inference(forward_demodulation,[status(thm)],[f32,f1347]) ).
fof(f1443,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f1339]) ).
fof(f1449,plain,
! [X0] : leq(one,star(X0)),
inference(paramodulation,[status(thm)],[f32,f1443]) ).
fof(f1460,plain,
! [X0] : addition(one,star(X0)) = star(X0),
inference(resolution,[status(thm)],[f1449,f43]) ).
fof(f1573,plain,
! [X0,X1] :
( leq(addition(X0,X1),X0)
| addition(X0,X1) != X0 ),
inference(paramodulation,[status(thm)],[f423,f319]) ).
fof(f1707,plain,
! [X0,X1] :
( leq(addition(X0,X1),X1)
| addition(X1,X0) != X1 ),
inference(paramodulation,[status(thm)],[f21,f1573]) ).
fof(f3330,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = star(X0),
inference(paramodulation,[status(thm)],[f21,f1348]) ).
fof(f3890,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X1,X0)),
inference(paramodulation,[status(thm)],[f21,f407]) ).
fof(f4230,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X0,addition(X2,X1)),
inference(paramodulation,[status(thm)],[f407,f420]) ).
fof(f4245,plain,
! [X0,X1] : addition(X0,star(X1)) = addition(one,addition(X0,star(X1))),
inference(paramodulation,[status(thm)],[f1460,f420]) ).
fof(f5960,plain,
! [X0,X1] : multiplication(X0,star(X1)) = addition(X0,multiplication(X0,star(X1))),
inference(paramodulation,[status(thm)],[f1460,f444]) ).
fof(f6480,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1)),
inference(paramodulation,[status(thm)],[f1460,f487]) ).
fof(f6488,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(multiplication(X0,star(X0)),X1)),
inference(paramodulation,[status(thm)],[f31,f487]) ).
fof(f6489,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(X0,multiplication(star(X0),X1))),
inference(forward_demodulation,[status(thm)],[f25,f6488]) ).
fof(f9944,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = addition(addition(one,X0),star(X0)),
inference(paramodulation,[status(thm)],[f3330,f6480]) ).
fof(f9945,plain,
! [X0] : star(X0) = addition(addition(one,X0),star(X0)),
inference(forward_demodulation,[status(thm)],[f3330,f9944]) ).
fof(f9946,plain,
! [X0] : star(X0) = addition(one,addition(X0,star(X0))),
inference(forward_demodulation,[status(thm)],[f22,f9945]) ).
fof(f9947,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[status(thm)],[f4245,f9946]) ).
fof(f10105,plain,
! [X0,X1,X2] : addition(multiplication(star(X0),X1),addition(X1,X2)) = addition(X2,multiplication(star(X0),X1)),
inference(paramodulation,[status(thm)],[f6480,f3890]) ).
fof(f10106,plain,
! [X0,X1,X2] : addition(X0,addition(multiplication(star(X1),X0),X2)) = addition(X2,multiplication(star(X1),X0)),
inference(forward_demodulation,[status(thm)],[f420,f10105]) ).
fof(f10164,plain,
addition(multiplication(sk0_0,sk0_1),multiplication(star(sk0_2),sk0_0)) = multiplication(addition(sk0_2,star(sk0_2)),sk0_0),
inference(paramodulation,[status(thm)],[f9947,f523]) ).
fof(f10165,plain,
addition(multiplication(sk0_0,sk0_1),multiplication(star(sk0_2),sk0_0)) = multiplication(star(sk0_2),sk0_0),
inference(forward_demodulation,[status(thm)],[f9947,f10164]) ).
fof(f21987,plain,
! [X0,X1,X2] : addition(X0,addition(X1,multiplication(X2,multiplication(star(X2),X0)))) = addition(X1,multiplication(star(X2),X0)),
inference(paramodulation,[status(thm)],[f6489,f420]) ).
fof(f23224,plain,
! [X0] :
( addition(multiplication(X0,star(one)),X0) = X0
| addition(X0,X0) != X0 ),
inference(resolution,[status(thm)],[f192,f1707]) ).
fof(f23225,plain,
! [X0] :
( addition(X0,multiplication(X0,star(one))) = X0
| addition(X0,X0) != X0 ),
inference(forward_demodulation,[status(thm)],[f21,f23224]) ).
fof(f23226,plain,
! [X0] :
( multiplication(X0,star(one)) = X0
| addition(X0,X0) != X0 ),
inference(forward_demodulation,[status(thm)],[f5960,f23225]) ).
fof(f23227,plain,
! [X0] :
( multiplication(X0,star(one)) = X0
| X0 != X0 ),
inference(forward_demodulation,[status(thm)],[f24,f23226]) ).
fof(f23228,plain,
! [X0] : multiplication(X0,star(one)) = X0,
inference(trivial_equality_resolution,[status(esa)],[f23227]) ).
fof(f26175,plain,
! [X0,X1] :
( ~ leq(addition(multiplication(X0,one),X1),X0)
| leq(X1,X0) ),
inference(paramodulation,[status(thm)],[f23228,f36]) ).
fof(f26176,plain,
! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(X1,X0) ),
inference(forward_demodulation,[status(thm)],[f26,f26175]) ).
fof(f26651,plain,
! [X0,X1,X2] :
( ~ leq(addition(X0,addition(X1,X2)),X2)
| leq(addition(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f407,f26176]) ).
fof(f45306,plain,
~ leq(addition(sk0_0,addition(multiplication(star(sk0_2),multiplication(sk0_0,sk0_1)),multiplication(star(sk0_2),sk0_0))),multiplication(star(sk0_2),sk0_0)),
inference(resolution,[status(thm)],[f68,f26651]) ).
fof(f45307,plain,
~ leq(addition(sk0_0,addition(multiplication(star(sk0_2),sk0_0),multiplication(star(sk0_2),multiplication(sk0_0,sk0_1)))),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f4230,f45306]) ).
fof(f45308,plain,
~ leq(addition(multiplication(star(sk0_2),multiplication(sk0_0,sk0_1)),multiplication(star(sk0_2),sk0_0)),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f10106,f45307]) ).
fof(f45309,plain,
~ leq(multiplication(star(sk0_2),addition(multiplication(sk0_0,sk0_1),sk0_0)),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f28,f45308]) ).
fof(f45310,plain,
~ leq(multiplication(star(sk0_2),addition(sk0_0,multiplication(sk0_0,sk0_1))),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f431,f45309]) ).
fof(f56134,plain,
~ leq(addition(multiplication(sk0_2,multiplication(star(sk0_2),sk0_0)),addition(sk0_0,multiplication(sk0_0,sk0_1))),multiplication(star(sk0_2),sk0_0)),
inference(resolution,[status(thm)],[f45310,f34]) ).
fof(f56135,plain,
~ leq(addition(multiplication(sk0_0,sk0_1),addition(sk0_0,multiplication(sk0_2,multiplication(star(sk0_2),sk0_0)))),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f3890,f56134]) ).
fof(f56136,plain,
~ leq(addition(sk0_0,addition(multiplication(sk0_0,sk0_1),multiplication(sk0_2,multiplication(star(sk0_2),sk0_0)))),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f420,f56135]) ).
fof(f56137,plain,
~ leq(addition(multiplication(sk0_0,sk0_1),multiplication(star(sk0_2),sk0_0)),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f21987,f56136]) ).
fof(f56138,plain,
~ leq(multiplication(star(sk0_2),sk0_0),multiplication(star(sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f10165,f56137]) ).
fof(f56139,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f56138,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE159+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 01:03:42 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 119.86/15.49 % Refutation found
% 119.86/15.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 119.86/15.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 122.44/15.82 % Elapsed time: 15.458448 seconds
% 122.44/15.82 % CPU time: 121.430880 seconds
% 122.44/15.82 % Total memory used: 1.205 GB
% 122.44/15.82 % Net memory used: 1.188 GB
%------------------------------------------------------------------------------