%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KLE147+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:58:04 PM UTC 2026
% Result : Theorem 61.94s 13.33s
% Output : CNFRefutation 44.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 115 ( 60 unt; 2 def)
% Number of atoms : 174 ( 87 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 112 ( 53 ~; 49 |; 4 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 175 ( 169 !; 6 ?)
% 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(f3,axiom,
! [A] : addition(A,zero) = A,
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(f10,axiom,
! [A] : multiplication(zero,A) = zero,
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(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(f15,axiom,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( leq(C,addition(multiplication(A,C),B))
=> leq(C,multiplication(strong_iteration(A),B)) ),
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] :
( leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1)))
& leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1)))
& leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1)))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
! [X0] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
! [A,B,C] :
( leq(multiplication(star(A),B),C)
| ~ leq(addition(multiplication(A,C),B),C) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f34,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [A,B,C] :
( leq(multiplication(B,star(A)),C)
| ~ leq(addition(multiplication(C,A),B),C) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f38,plain,
! [A,B,C] :
( leq(C,multiplication(strong_iteration(A),B))
| ~ leq(C,addition(multiplication(A,C),B)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f39,plain,
! [X0,X1,X2] :
( leq(X0,multiplication(strong_iteration(X1),X2))
| ~ leq(X0,addition(multiplication(X1,X0),X2)) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( addition(A,B) = B
| ~ leq(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f42,plain,
( ! [A,B] :
( addition(A,B) != B
| leq(A,B) )
& ! [A,B] :
( addition(A,B) = B
| ~ leq(A,B) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f44,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
? [X0,X1] :
( ~ leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1)))
| ~ leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1)))) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f46,plain,
( ? [X0,X1] : ~ leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1)))
| ? [X0,X1] : ~ leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1)))) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
( ~ leq(multiplication(star(sK3_skl),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))
| ~ leq(strong_iteration(multiplication(star(sK0_skl),sK1_skl)),multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X0,sK2_skl),skolemize(X1,sK3_skl)],[f46]) ).
fof(f48,plain,
( ~ leq(multiplication(star(sK3_skl),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))
| ~ leq(strong_iteration(multiplication(star(sK0_skl),sK1_skl)),multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl)))) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,definition,
( sQ0_spl
<=> leq(strong_iteration(multiplication(star(sK0_skl),sK1_skl)),multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( sQ0_spl
| ~ leq(strong_iteration(multiplication(star(sK0_skl),sK1_skl)),multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl)))) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,definition,
( sQ1_spl
<=> leq(multiplication(star(sK3_skl),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ1_spl
| ~ leq(multiplication(star(sK3_skl),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f49,f52]) ).
fof(f59,plain,
( sQ0_spl
| addition(strong_iteration(multiplication(star(sK0_skl),sK1_skl)),multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl)))) != multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl))) ),
inference(resolution,[status(thm)],[f44,f51]) ).
fof(f62,plain,
! [X0,X1,X2] :
( addition(addition(multiplication(X2,X1),X0),X2) != X2
| leq(multiplication(X0,star(X1)),X2) ),
inference(resolution,[status(thm)],[f36,f44]) ).
fof(f64,plain,
! [X0,X1,X2] :
( addition(multiplication(X2,X1),addition(X0,X2)) != X2
| leq(multiplication(X0,star(X1)),X2) ),
inference(forward_demodulation,[status(thm)],[f22,f62]) ).
fof(f76,plain,
! [X0] : X0 = addition(zero,X0),
inference(paramodulation,[status(thm)],[f23,f21]) ).
fof(f92,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f94,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f101,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f92]) ).
fof(f109,plain,
! [X0,X1] :
( leq(X0,strong_iteration(X1))
| ~ leq(X0,addition(multiplication(X1,X0),one)) ),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f152,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f94]) ).
fof(f180,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f184,plain,
! [X0,X1,X2,X3] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f28,f22]) ).
fof(f209,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f21,f29]) ).
fof(f213,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f214,plain,
! [X0,X1,X2,X3] : multiplication(addition(multiplication(X0,X1),X2),X3) = addition(multiplication(X0,multiplication(X1,X3)),multiplication(X2,X3)),
inference(paramodulation,[status(thm)],[f25,f29]) ).
fof(f217,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f224,plain,
! [X0,X1,X2,X3] : addition(multiplication(X0,X1),addition(multiplication(X2,X1),X3)) = addition(multiplication(addition(X0,X2),X1),X3),
inference(paramodulation,[status(thm)],[f29,f22]) ).
fof(f229,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f29,f209]) ).
fof(f232,plain,
( sQ0_spl
| multiplication(addition(one,star(sK1_skl)),strong_iteration(multiplication(star(sK0_skl),sK1_skl))) != multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f213,f59]) ).
fof(f242,plain,
addition(one,zero) = star(zero),
inference(paramodulation,[status(thm)],[f30,f31]) ).
fof(f245,plain,
! [X0] : addition(one,star(X0)) = addition(one,multiplication(X0,star(X0))),
inference(paramodulation,[status(thm)],[f31,f94]) ).
fof(f248,plain,
one = star(zero),
inference(forward_demodulation,[status(thm)],[f23,f242]) ).
fof(f250,plain,
( sQ0_spl
| multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl))) != multiplication(star(sK1_skl),strong_iteration(multiplication(star(sK0_skl),sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f251,f232]) ).
fof(f251,plain,
! [X0] : addition(one,star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f31,f245]) ).
fof(f253,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f250]) ).
fof(f254,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ1_spl
| ~ leq(addition(multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) ),
inference(resolution,[status(thm)],[f54,f34]) ).
fof(f257,plain,
( sQ1_spl
| ~ leq(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) ),
inference(forward_demodulation,[status(thm)],[f217,f255]) ).
fof(f316,plain,
! [X0,X1] :
( addition(multiplication(X1,zero),addition(X0,X1)) != X1
| leq(multiplication(X0,one),X1) ),
inference(paramodulation,[status(thm)],[f248,f64]) ).
fof(f323,plain,
! [X0,X1] :
( addition(multiplication(X1,zero),addition(X0,X1)) != X1
| leq(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f26,f316]) ).
fof(f341,plain,
! [X0,X1] : strong_iteration(multiplication(X0,X1)) = addition(multiplication(X0,multiplication(X1,strong_iteration(multiplication(X0,X1)))),one),
inference(paramodulation,[status(thm)],[f25,f37]) ).
fof(f748,plain,
! [X0] : addition(star(X0),star(X0)) = addition(star(X0),one),
inference(paramodulation,[status(thm)],[f251,f152]) ).
fof(f792,plain,
! [X0] : star(X0) = addition(star(X0),one),
inference(forward_demodulation,[status(thm)],[f24,f748]) ).
fof(f861,plain,
( sQ1_spl
| ~ leq(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),addition(multiplication(multiplication(star(sK2_skl),sK3_skl),multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one)) ),
inference(resolution,[status(thm)],[f109,f257]) ).
fof(f867,plain,
( sQ1_spl
| ~ leq(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one)) ),
inference(forward_demodulation,[status(thm)],[f25,f861]) ).
fof(f1119,plain,
! [X0,X1,X2] : multiplication(addition(multiplication(X0,X1),one),X2) = addition(multiplication(X0,multiplication(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f27,f214]) ).
fof(f1312,plain,
! [X0,X1,X2,X3,X4] : addition(multiplication(X0,X1),addition(X2,addition(multiplication(X0,X3),X4))) = addition(multiplication(X0,addition(X1,X3)),addition(X2,X4)),
inference(paramodulation,[status(thm)],[f101,f184]) ).
fof(f1964,plain,
! [X0] : multiplication(addition(X0,one),zero) = multiplication(X0,zero),
inference(paramodulation,[status(thm)],[f23,f217]) ).
fof(f2343,plain,
! [X0,X1,X2] : strong_iteration(multiplication(addition(X0,X1),X2)) = addition(multiplication(addition(X1,X0),multiplication(X2,strong_iteration(multiplication(addition(X0,X1),X2)))),one),
inference(paramodulation,[status(thm)],[f229,f341]) ).
fof(f2361,plain,
! [X0,X1,X2] : addition(multiplication(X0,multiplication(X1,strong_iteration(multiplication(X2,X1)))),strong_iteration(multiplication(X2,X1))) = addition(multiplication(addition(X0,X2),multiplication(X1,strong_iteration(multiplication(X2,X1)))),one),
inference(paramodulation,[status(thm)],[f341,f224]) ).
fof(f2407,plain,
! [X0,X1,X2] : multiplication(addition(multiplication(X0,X1),one),strong_iteration(multiplication(X2,X1))) = addition(multiplication(addition(X0,X2),multiplication(X1,strong_iteration(multiplication(X2,X1)))),one),
inference(forward_demodulation,[status(thm)],[f1119,f2361]) ).
fof(f5474,plain,
( sQ1_spl
| addition(multiplication(addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one),zero),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(resolution,[status(thm)],[f323,f867]) ).
fof(f5583,plain,
( sQ1_spl
| addition(multiplication(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),zero),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f1964,f5474]) ).
fof(f5584,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),zero)),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f25,f5583]) ).
fof(f5585,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),addition(multiplication(multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),zero),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f1312,f5584]) ).
fof(f5586,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),addition(zero,one))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f180,f5585]) ).
fof(f5587,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),addition(zero,one)))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f25,f5586]) ).
fof(f5588,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),multiplication(strong_iteration(multiplication(star(sK2_skl),sK3_skl)),addition(zero,one))))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f25,f5587]) ).
fof(f5589,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),multiplication(strong_iteration(multiplication(star(sK2_skl),sK3_skl)),one)))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f76,f5588]) ).
fof(f5590,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),one) ),
inference(forward_demodulation,[status(thm)],[f26,f5589]) ).
fof(f15761,plain,
! [X0,X1,X2] : addition(X0,strong_iteration(multiplication(X1,X2))) = addition(multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2)))),addition(X0,one)),
inference(paramodulation,[status(thm)],[f341,f101]) ).
fof(f20312,plain,
! [X0,X1] : strong_iteration(multiplication(addition(star(X0),one),X1)) = addition(multiplication(addition(one,star(X0)),multiplication(X1,strong_iteration(multiplication(star(X0),X1)))),one),
inference(paramodulation,[status(thm)],[f792,f2343]) ).
fof(f20548,plain,
! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = addition(multiplication(addition(one,star(X0)),multiplication(X1,strong_iteration(multiplication(star(X0),X1)))),one),
inference(forward_demodulation,[status(thm)],[f792,f20312]) ).
fof(f20549,plain,
! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(addition(multiplication(one,X1),one),strong_iteration(multiplication(star(X0),X1))),
inference(forward_demodulation,[status(thm)],[f2407,f20548]) ).
fof(f20550,plain,
! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(multiplication(one,addition(X1,one)),strong_iteration(multiplication(star(X0),X1))),
inference(forward_demodulation,[status(thm)],[f180,f20549]) ).
fof(f20551,plain,
! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(one,multiplication(addition(X1,one),strong_iteration(multiplication(star(X0),X1)))),
inference(forward_demodulation,[status(thm)],[f25,f20550]) ).
fof(f20552,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(sK3_skl,multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(backward_demodulation,[status(thm)],[f20595,f5590]) ).
fof(f20595,plain,
! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(addition(X1,one),strong_iteration(multiplication(star(X0),X1))),
inference(forward_demodulation,[status(thm)],[f27,f20551]) ).
fof(f20752,plain,
( sQ1_spl
| addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),one)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(forward_demodulation,[status(thm)],[f20595,f20552]) ).
fof(f20753,plain,
( sQ1_spl
| addition(multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(forward_demodulation,[status(thm)],[f15761,f20752]) ).
fof(f20754,plain,
( sQ1_spl
| multiplication(addition(addition(sK3_skl,one),one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(forward_demodulation,[status(thm)],[f217,f20753]) ).
fof(f20755,plain,
( sQ1_spl
| multiplication(addition(sK3_skl,addition(one,one)),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(forward_demodulation,[status(thm)],[f22,f20754]) ).
fof(f20756,plain,
( sQ1_spl
| multiplication(addition(sK3_skl,one),strong_iteration(multiplication(star(sK2_skl),sK3_skl))) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(forward_demodulation,[status(thm)],[f24,f20755]) ).
fof(f20757,plain,
( sQ1_spl
| strong_iteration(multiplication(star(sK2_skl),sK3_skl)) != addition(multiplication(star(sK2_skl),multiplication(sK3_skl,strong_iteration(multiplication(star(sK2_skl),sK3_skl)))),one) ),
inference(forward_demodulation,[status(thm)],[f20595,f20756]) ).
fof(f20758,plain,
( sQ1_spl
| strong_iteration(multiplication(star(sK2_skl),sK3_skl)) != strong_iteration(multiplication(star(sK2_skl),sK3_skl)) ),
inference(forward_demodulation,[status(thm)],[f341,f20757]) ).
fof(f20759,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f20758]) ).
fof(f20760,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f20759]) ).
fof(f20761,plain,
$false,
inference(sat_refutation,[status(thm)],[f55,f254,f20760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE147+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.40 % Computer : n020.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Sun Sep 20 22:47:22 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.42 % Drodi V4.1.1
% 61.94/13.33 % Refutation found
% 61.94/13.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 61.94/13.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.05/13.42 % Elapsed time: 7.996573 seconds
% 4.05/13.42 % CPU time: 63.185295 seconds
% 4.05/13.42 % Total memory used: 469.835 MB
% 4.05/13.42 % Net memory used: 450.483 MB
%------------------------------------------------------------------------------