%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KLE044+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:57:51 PM UTC 2026
% Result : Theorem 11.04s 1.90s
% Output : CNFRefutation 11.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 13
% Syntax : Number of formulae : 122 ( 86 unt; 0 def)
% Number of atoms : 162 ( 87 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 62 ~; 33 |; 4 &)
% ( 1 <=>; 2 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 178 ( 175 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : leq(addition(one,multiplication(A,star(A))),star(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] : leq(addition(one,multiplication(star(A),A)),star(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,B),C),B)
=> leq(multiplication(star(A),C),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,B),C),A)
=> leq(multiplication(C,star(B)),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0] :
( leq(star(X0),star(addition(one,X0)))
& leq(star(addition(one,X0)),star(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0] :
( leq(star(X0),star(addition(one,X0)))
& leq(star(addition(one,X0)),star(X0)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,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,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( addition(A,B) = B
| ~ leq(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
( ! [A,B] :
( addition(A,B) != B
| leq(A,B) )
& ! [A,B] :
( addition(A,B) = B
| ~ leq(A,B) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f36,plain,
! [A,B,C] :
( leq(multiplication(star(A),C),B)
| ~ leq(addition(multiplication(A,B),C),B) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [A,B,C] :
( leq(multiplication(C,star(B)),A)
| ~ leq(addition(multiplication(A,B),C),A) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f39,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
? [X0] :
( ~ leq(star(X0),star(addition(one,X0)))
| ~ leq(star(addition(one,X0)),star(X0)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f41,plain,
( ? [X0] : ~ leq(star(X0),star(addition(one,X0)))
| ? [X0] : ~ leq(star(addition(one,X0)),star(X0)) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
( ~ leq(star(sK1_skl),star(addition(one,sK1_skl)))
| ~ leq(star(addition(one,sK0_skl)),star(sK0_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X0,sK1_skl)],[f41]) ).
fof(f43,plain,
( ~ leq(star(sK1_skl),star(addition(one,sK1_skl)))
| ~ leq(star(addition(one,sK0_skl)),star(sK0_skl)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f50,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f54,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f56,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f62,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f54]) ).
fof(f69,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f19,f56]) ).
fof(f94,plain,
! [X0,X1,X2] : addition(X0,addition(addition(X1,X0),X2)) = addition(addition(X0,X1),X2),
inference(paramodulation,[status(thm)],[f69,f20]) ).
fof(f107,plain,
! [X0,X1,X2] : addition(X0,addition(X1,addition(X0,X2))) = addition(addition(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f20,f94]) ).
fof(f109,plain,
! [X0,X1,X2] : addition(X0,addition(X1,addition(X0,X2))) = addition(X0,addition(X1,X2)),
inference(forward_demodulation,[status(thm)],[f20,f107]) ).
fof(f121,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X2,X1),addition(X0,X1)),
inference(paramodulation,[status(thm)],[f69,f50]) ).
fof(f146,plain,
! [X0,X1,X2] : addition(X0,addition(X1,addition(X0,X2))) = addition(X0,addition(X2,X1)),
inference(paramodulation,[status(thm)],[f50,f56]) ).
fof(f169,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X1,addition(X0,X1))),
inference(forward_demodulation,[status(thm)],[f20,f121]) ).
fof(f170,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X1,X0)),
inference(forward_demodulation,[status(thm)],[f69,f169]) ).
fof(f189,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X0,addition(X2,X1)),
inference(forward_demodulation,[status(thm)],[f109,f146]) ).
fof(f604,plain,
! [X0] : addition(addition(one,multiplication(X0,star(X0))),star(X0)) = star(X0),
inference(resolution,[status(thm)],[f34,f32]) ).
fof(f606,plain,
! [X0] : addition(one,addition(multiplication(X0,star(X0)),star(X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f20,f604]) ).
fof(f607,plain,
! [X0] : addition(one,addition(star(X0),multiplication(X0,star(X0)))) = star(X0),
inference(forward_demodulation,[status(thm)],[f189,f606]) ).
fof(f608,plain,
! [X0] : addition(addition(one,multiplication(star(X0),X0)),star(X0)) = star(X0),
inference(resolution,[status(thm)],[f35,f32]) ).
fof(f610,plain,
! [X0] : addition(one,addition(multiplication(star(X0),X0),star(X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f20,f608]) ).
fof(f611,plain,
! [X0] : addition(one,addition(star(X0),multiplication(star(X0),X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f189,f610]) ).
fof(f616,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f636,plain,
! [X0] : addition(one,multiplication(star(X0),addition(one,X0))) = star(X0),
inference(backward_demodulation,[status(thm)],[f616,f611]) ).
fof(f651,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f27]) ).
fof(f654,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f656,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f674,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f27,f651]) ).
fof(f676,plain,
! [X0] : addition(one,multiplication(addition(one,X0),star(X0))) = star(X0),
inference(backward_demodulation,[status(thm)],[f654,f607]) ).
fof(f678,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(X1,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f656]) ).
fof(f967,plain,
! [X0,X1,X2] : addition(X0,addition(X1,multiplication(X0,X2))) = addition(X1,multiplication(X0,addition(one,X2))),
inference(paramodulation,[status(thm)],[f616,f62]) ).
fof(f1023,plain,
! [X0,X1,X2] : multiplication(addition(one,X0),addition(X1,X2)) = addition(X1,addition(X2,multiplication(X0,addition(X1,X2)))),
inference(paramodulation,[status(thm)],[f20,f654]) ).
fof(f1455,plain,
! [X0,X1] : addition(one,addition(X0,star(X1))) = addition(one,addition(X0,multiplication(star(X1),addition(one,X1)))),
inference(paramodulation,[status(thm)],[f636,f109]) ).
fof(f1457,plain,
! [X0,X1] : addition(multiplication(star(X0),addition(one,X0)),addition(one,X1)) = addition(X1,star(X0)),
inference(paramodulation,[status(thm)],[f636,f170]) ).
fof(f1459,plain,
! [X0,X1] : addition(one,addition(X0,multiplication(star(X1),addition(one,X1)))) = addition(X0,star(X1)),
inference(paramodulation,[status(thm)],[f636,f62]) ).
fof(f1463,plain,
! [X0] : addition(multiplication(star(X0),addition(one,X0)),star(X0)) = addition(multiplication(star(X0),addition(one,X0)),one),
inference(paramodulation,[status(thm)],[f636,f69]) ).
fof(f1464,plain,
! [X0] : addition(one,star(X0)) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(paramodulation,[status(thm)],[f636,f56]) ).
fof(f1476,plain,
! [X0,X1] : addition(one,addition(multiplication(star(X0),addition(one,X0)),X1)) = addition(X1,star(X0)),
inference(forward_demodulation,[status(thm)],[f62,f1457]) ).
fof(f1480,plain,
! [X0,X1] : addition(one,addition(X0,star(X1))) = addition(X0,star(X1)),
inference(forward_demodulation,[status(thm)],[f1455,f1459]) ).
fof(f1484,plain,
! [X0] : addition(star(X0),multiplication(star(X0),addition(one,X0))) = addition(multiplication(star(X0),addition(one,X0)),one),
inference(forward_demodulation,[status(thm)],[f19,f1463]) ).
fof(f1485,plain,
! [X0] : multiplication(star(X0),addition(one,addition(one,X0))) = addition(multiplication(star(X0),addition(one,X0)),one),
inference(forward_demodulation,[status(thm)],[f616,f1484]) ).
fof(f1486,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = addition(multiplication(star(X0),addition(one,X0)),one),
inference(forward_demodulation,[status(thm)],[f56,f1485]) ).
fof(f1487,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(forward_demodulation,[status(thm)],[f19,f1486]) ).
fof(f1489,plain,
! [X0,X1] : addition(one,addition(star(X0),X1)) = addition(X1,star(X0)),
inference(backward_demodulation,[status(thm)],[f1492,f1476]) ).
fof(f1492,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f636,f1487]) ).
fof(f1495,plain,
! [X0] : addition(one,star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f636,f1464]) ).
fof(f1501,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1)),
inference(paramodulation,[status(thm)],[f1495,f654]) ).
fof(f1544,plain,
! [X0] : multiplication(addition(one,star(X0)),addition(one,X0)) = addition(addition(one,X0),star(X0)),
inference(paramodulation,[status(thm)],[f1492,f654]) ).
fof(f1547,plain,
! [X0,X1] : multiplication(addition(X0,star(X1)),addition(one,X1)) = addition(multiplication(X0,addition(one,X1)),star(X1)),
inference(paramodulation,[status(thm)],[f1492,f27]) ).
fof(f1560,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = addition(addition(one,X0),star(X0)),
inference(forward_demodulation,[status(thm)],[f1495,f1544]) ).
fof(f1561,plain,
! [X0] : star(X0) = addition(addition(one,X0),star(X0)),
inference(forward_demodulation,[status(thm)],[f1492,f1560]) ).
fof(f1562,plain,
! [X0] : star(X0) = addition(one,addition(X0,star(X0))),
inference(forward_demodulation,[status(thm)],[f20,f1561]) ).
fof(f1563,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[status(thm)],[f1480,f1562]) ).
fof(f1567,plain,
! [X0,X1] : multiplication(addition(X0,star(X1)),addition(one,X1)) = addition(star(X1),multiplication(X0,addition(one,X1))),
inference(forward_demodulation,[status(thm)],[f19,f1547]) ).
fof(f1697,plain,
! [X0,X1] :
( leq(star(X0),X1)
| ~ leq(addition(multiplication(X0,X1),one),X1) ),
inference(paramodulation,[status(thm)],[f24,f37]) ).
fof(f1700,plain,
! [X0,X1] :
( leq(star(X0),X1)
| ~ leq(addition(one,multiplication(X0,X1)),X1) ),
inference(forward_demodulation,[status(thm)],[f19,f1697]) ).
fof(f1941,plain,
! [X0] : addition(multiplication(addition(one,X0),star(X0)),star(X0)) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(paramodulation,[status(thm)],[f676,f69]) ).
fof(f1957,plain,
! [X0] : addition(star(X0),multiplication(addition(one,X0),star(X0))) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(forward_demodulation,[status(thm)],[f19,f1941]) ).
fof(f1958,plain,
! [X0] : multiplication(addition(one,addition(one,X0)),star(X0)) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(forward_demodulation,[status(thm)],[f654,f1957]) ).
fof(f1959,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(forward_demodulation,[status(thm)],[f56,f1958]) ).
fof(f1960,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(forward_demodulation,[status(thm)],[f19,f1959]) ).
fof(f1967,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f676,f1960]) ).
fof(f1989,plain,
! [X0] : multiplication(addition(one,X0),star(addition(one,X0))) = star(addition(one,X0)),
inference(paramodulation,[status(thm)],[f56,f1967]) ).
fof(f1993,plain,
! [X0,X1] :
( leq(star(X1),X0)
| ~ leq(addition(multiplication(X0,X1),addition(one,X1)),X0) ),
inference(paramodulation,[status(thm)],[f1967,f39]) ).
fof(f2014,plain,
! [X0,X1] :
( leq(star(X0),X1)
| ~ leq(addition(X0,addition(one,multiplication(X1,X0))),X1) ),
inference(forward_demodulation,[status(thm)],[f170,f1993]) ).
fof(f2189,plain,
( ~ leq(star(addition(one,sK0_skl)),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(resolution,[status(thm)],[f1700,f43]) ).
fof(f4614,plain,
( ~ leq(addition(addition(one,sK0_skl),addition(one,multiplication(star(sK0_skl),addition(one,sK0_skl)))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(resolution,[status(thm)],[f2189,f2014]) ).
fof(f4620,plain,
( ~ leq(addition(one,addition(sK0_skl,addition(one,multiplication(star(sK0_skl),addition(one,sK0_skl))))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f4614]) ).
fof(f4621,plain,
( ~ leq(addition(one,addition(sK0_skl,multiplication(star(sK0_skl),addition(one,sK0_skl)))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f109,f4620]) ).
fof(f4622,plain,
( ~ leq(multiplication(addition(one,star(sK0_skl)),addition(one,sK0_skl)),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f1023,f4621]) ).
fof(f4623,plain,
( ~ leq(addition(star(sK0_skl),multiplication(one,addition(one,sK0_skl))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f1567,f4622]) ).
fof(f4624,plain,
( ~ leq(addition(one,addition(star(sK0_skl),multiplication(one,sK0_skl))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f967,f4623]) ).
fof(f4625,plain,
( ~ leq(addition(multiplication(one,sK0_skl),star(sK0_skl)),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f1489,f4624]) ).
fof(f4626,plain,
( ~ leq(addition(star(sK0_skl),multiplication(one,sK0_skl)),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f4625]) ).
fof(f4627,plain,
( ~ leq(addition(star(sK0_skl),sK0_skl),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4626]) ).
fof(f4628,plain,
( ~ leq(addition(sK0_skl,star(sK0_skl)),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f4627]) ).
fof(f4629,plain,
( ~ leq(star(sK0_skl),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f1563,f4628]) ).
fof(f4645,plain,
( ~ leq(addition(sK0_skl,addition(one,multiplication(star(sK0_skl),sK0_skl))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(resolution,[status(thm)],[f4629,f2014]) ).
fof(f4651,plain,
( ~ leq(addition(one,addition(sK0_skl,multiplication(star(sK0_skl),sK0_skl))),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f62,f4645]) ).
fof(f4652,plain,
( ~ leq(addition(one,multiplication(star(sK0_skl),sK0_skl)),star(sK0_skl))
| ~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f1501,f4651]) ).
fof(f4653,plain,
~ leq(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f4652,f35]) ).
fof(f10301,plain,
addition(addition(one,multiplication(sK1_skl,star(addition(one,sK1_skl)))),star(addition(one,sK1_skl))) != star(addition(one,sK1_skl)),
inference(resolution,[status(thm)],[f4653,f33]) ).
fof(f10308,plain,
addition(one,addition(multiplication(sK1_skl,star(addition(one,sK1_skl))),star(addition(one,sK1_skl)))) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f20,f10301]) ).
fof(f10309,plain,
addition(one,addition(star(addition(one,sK1_skl)),multiplication(sK1_skl,star(addition(one,sK1_skl))))) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f189,f10308]) ).
fof(f10310,plain,
addition(multiplication(sK1_skl,star(addition(one,sK1_skl))),star(addition(one,sK1_skl))) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f1489,f10309]) ).
fof(f10311,plain,
addition(star(addition(one,sK1_skl)),multiplication(sK1_skl,star(addition(one,sK1_skl)))) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f19,f10310]) ).
fof(f10312,plain,
multiplication(addition(sK1_skl,one),star(addition(one,sK1_skl))) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f678,f10311]) ).
fof(f10313,plain,
multiplication(addition(one,sK1_skl),star(addition(one,sK1_skl))) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f674,f10312]) ).
fof(f10314,plain,
star(addition(one,sK1_skl)) != star(addition(one,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f1989,f10313]) ).
fof(f10315,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f10314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE044+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:40:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 11.04/1.90 % Refutation found
% 11.04/1.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.04/1.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.65/1.96 % Elapsed time: 1.579544 seconds
% 11.65/1.96 % CPU time: 12.123851 seconds
% 11.65/1.96 % Total memory used: 137.994 MB
% 11.65/1.96 % Net memory used: 136.047 MB
%------------------------------------------------------------------------------