%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE044+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 : Fri Sep 25 01:52:16 PM UTC 2026
% Result : Theorem 28.15s 16.83s
% Output : CNFRefutation 28.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 130 ( 116 unt; 3 def)
% Number of atoms : 317 ( 96 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 19 ~; 13 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 129 !; 1 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f17,conjecture,
! [X0] : star(addition(one,X0)) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : star(addition(one,X0)) = star(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0] : star(X0) != star(addition(one,X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
& ( addition(X0,X1) != X1
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
star(sK0) != star(addition(one,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
star(sK0) != star(addition(one,sK0)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f27]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f29]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f30]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f32]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_62,plain,
! [X0: $i] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_63,plain,
! [X0: $i] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_66,negated_conjecture,
star(addition(one,sK0)) != star(sK0),
inference(cnf_transformation,[],[f41]) ).
tcf(c_183,definition,
iPr_def_10 = addition(one,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_184,definition,
iPr_def_11 = star(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_185,definition,
iPr_def_12 = star(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_186,negated_conjecture,
iPr_def_11 != iPr_def_12,
inference(demodulation,[status(thm)],[c_66,c_185,c_183,c_184]) ).
tcf(c_1044,plain,
! [X0: $i] : leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_60]) ).
tcf(c_11003,plain,
! [X0: $i,X1: $i,X2: $i] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_11007,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_11010,plain,
! [X0: $i] : addition(one,addition(sK0,X0)) = addition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_183,c_50]) ).
tcf(c_11018,plain,
addition(one,sK0) = addition(iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_52,c_11010]) ).
tcf(c_11020,plain,
addition(iPr_def_10,sK0) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11018,c_183]) ).
tcf(c_11028,plain,
! [X0: $i] : addition(iPr_def_10,addition(sK0,X0)) = addition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_11020,c_50]) ).
tcf(c_11043,plain,
leq(addition(one,multiplication(iPr_def_12,sK0)),iPr_def_12),
inference(superposition,[status(thm)],[c_185,c_63]) ).
tcf(c_11048,plain,
! [X0: $i] : addition(iPr_def_10,addition(X0,sK0)) = addition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_49,c_11028]) ).
tcf(c_11084,plain,
! [X0: $i] : addition(addition(one,multiplication(X0,star(X0))),star(X0)) = star(X0),
inference(superposition,[status(thm)],[c_62,c_61]) ).
tcf(c_11095,plain,
! [X0: $i] : addition(one,addition(star(X0),multiplication(X0,star(X0)))) = star(X0),
inference(theory_normalisation,[status(thm)],[c_11084,c_50,c_49]) ).
tcf(c_11113,plain,
! [X0: $i] : addition(multiplication(X0,one),multiplication(X0,sK0)) = multiplication(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_183,c_56]) ).
tcf(c_11127,plain,
! [X0: $i] : addition(X0,multiplication(X0,sK0)) = multiplication(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_11113,c_54]) ).
tcf(c_11135,plain,
addition(iPr_def_10,one) = addition(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_183,c_11048]) ).
tcf(c_11155,plain,
addition(addition(one,multiplication(iPr_def_12,sK0)),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_11043,c_61]) ).
tcf(c_11156,plain,
addition(iPr_def_12,addition(one,multiplication(iPr_def_12,sK0))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_11155,c_50,c_49]) ).
tcf(c_11168,plain,
addition(iPr_def_10,one) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11135,c_52]) ).
tcf(c_11192,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_11007,c_60]) ).
tcf(c_11215,plain,
! [X0: $i] : addition(multiplication(one,X0),multiplication(sK0,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_183,c_57]) ).
tcf(c_11220,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(one,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_11168,c_57]) ).
tcf(c_11232,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = multiplication(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_11220,c_55]) ).
tcf(c_11233,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_11232,c_50,c_49]) ).
tcf(c_11235,plain,
! [X0: $i] : addition(X0,multiplication(sK0,X0)) = multiplication(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_11215,c_55]) ).
tcf(c_11245,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(star(X1),X0),X2)
| ~ leq(addition(X0,multiplication(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_11248,plain,
! [X0: $i,X1: $i] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_52,c_64]) ).
tcf(c_11328,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_11192]) ).
tcf(c_11368,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X2,X0))),
inference(superposition,[status(thm)],[c_50,c_11328]) ).
tcf(c_11413,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_11368]) ).
tcf(c_11723,plain,
! [X0: $i] : addition(one,star(X0)) = star(X0),
inference(superposition,[status(thm)],[c_11095,c_11007]) ).
tcf(c_11728,plain,
! [X0: $i,X1: $i] : leq(one,addition(X0,star(X1))),
inference(superposition,[status(thm)],[c_11095,c_11413]) ).
tcf(c_11732,plain,
! [X0: $i] : leq(multiplication(X0,star(X0)),star(X0)),
inference(superposition,[status(thm)],[c_11095,c_11368]) ).
tcf(c_11855,plain,
! [X0: $i] : leq(one,addition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_184,c_11728]) ).
tcf(c_11857,plain,
addition(one,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_185,c_11723]) ).
tcf(c_11858,plain,
addition(one,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_184,c_11723]) ).
tcf(c_11870,plain,
addition(iPr_def_11,one) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_11858,c_50,c_49]) ).
tcf(c_11871,plain,
addition(iPr_def_12,one) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_11857,c_50,c_49]) ).
tcf(c_11955,plain,
! [X0: $i] : addition(one,addition(X0,iPr_def_11)) = addition(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_11855,c_61]) ).
tcf(c_11956,plain,
! [X0: $i] : addition(iPr_def_11,addition(X0,one)) = addition(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_11955,c_50,c_49]) ).
tcf(c_11990,plain,
! [X0: $i] : leq(addition(X0,one),addition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_11956,c_11328]) ).
tcf(c_12021,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_11),multiplication(X0,one)) = multiplication(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_11870,c_56]) ).
tcf(c_12023,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(one,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_11870,c_57]) ).
tcf(c_12032,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),X0) = multiplication(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_12023,c_55]) ).
tcf(c_12033,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_12032,c_50,c_49]) ).
tcf(c_12034,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_11),X0) = multiplication(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_12021,c_54]) ).
tcf(c_12035,plain,
! [X0: $i] : addition(X0,multiplication(X0,iPr_def_11)) = multiplication(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_12034,c_50,c_49]) ).
tcf(c_12041,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_12),multiplication(X0,one)) = multiplication(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_11871,c_56]) ).
tcf(c_12043,plain,
! [X0: $i] : addition(multiplication(iPr_def_12,X0),multiplication(one,X0)) = multiplication(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_11871,c_57]) ).
tcf(c_12053,plain,
! [X0: $i] : addition(multiplication(iPr_def_12,X0),X0) = multiplication(iPr_def_12,X0),
inference(light_normalisation,[status(thm)],[c_12043,c_55]) ).
tcf(c_12054,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_12,X0)) = multiplication(iPr_def_12,X0),
inference(theory_normalisation,[status(thm)],[c_12053,c_50,c_49]) ).
tcf(c_12055,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_12),X0) = multiplication(X0,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_12041,c_54]) ).
tcf(c_12056,plain,
! [X0: $i] : addition(X0,multiplication(X0,iPr_def_12)) = multiplication(X0,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_12055,c_50,c_49]) ).
tcf(c_14478,plain,
leq(multiplication(sK0,iPr_def_12),iPr_def_12),
inference(superposition,[status(thm)],[c_185,c_11732]) ).
tcf(c_14479,plain,
leq(multiplication(iPr_def_10,iPr_def_11),iPr_def_11),
inference(superposition,[status(thm)],[c_184,c_11732]) ).
tcf(c_14636,plain,
addition(multiplication(sK0,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_14478,c_61]) ).
tcf(c_14637,plain,
addition(iPr_def_12,multiplication(sK0,iPr_def_12)) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_14636,c_50,c_49]) ).
tcf(c_14956,plain,
addition(multiplication(iPr_def_10,iPr_def_11),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_14479,c_61]) ).
tcf(c_14957,plain,
addition(iPr_def_11,multiplication(iPr_def_10,iPr_def_11)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_14956,c_50,c_49]) ).
tcf(c_15063,plain,
! [X0: $i] : leq(addition(X0,one),addition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_49,c_11990]) ).
tcf(c_18152,plain,
multiplication(iPr_def_10,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_14637,c_11235]) ).
tcf(c_18426,plain,
multiplication(iPr_def_10,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_14957,c_11233]) ).
tcf(c_34901,plain,
leq(addition(multiplication(sK0,iPr_def_11),one),multiplication(iPr_def_10,iPr_def_11)),
inference(superposition,[status(thm)],[c_11235,c_15063]) ).
tcf(c_34927,plain,
leq(addition(one,multiplication(sK0,iPr_def_11)),multiplication(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_34901,c_50,c_49]) ).
tcf(c_34928,plain,
leq(addition(one,multiplication(sK0,iPr_def_11)),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_34927,c_18426]) ).
tcf(c_47406,plain,
addition(one,multiplication(sK0,iPr_def_11)) = addition(iPr_def_10,multiplication(sK0,iPr_def_11)),
inference(superposition,[status(thm)],[c_12035,c_11010]) ).
tcf(c_47478,plain,
leq(addition(iPr_def_10,multiplication(sK0,iPr_def_11)),iPr_def_11),
inference(demodulation,[status(thm)],[c_34928,c_47406]) ).
tcf(c_49310,plain,
addition(one,multiplication(iPr_def_12,sK0)) = addition(iPr_def_10,multiplication(iPr_def_12,sK0)),
inference(superposition,[status(thm)],[c_12054,c_11010]) ).
tcf(c_51047,plain,
addition(iPr_def_10,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_18152,c_12056]) ).
tcf(c_66538,plain,
! [X0: $i] : addition(iPr_def_10,addition(iPr_def_12,X0)) = addition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_51047,c_50]) ).
tcf(c_77238,plain,
( leq(multiplication(star(iPr_def_10),iPr_def_12),iPr_def_12)
| ~ leq(multiplication(iPr_def_10,iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_18152,c_11248]) ).
tcf(c_77240,plain,
( leq(multiplication(iPr_def_11,iPr_def_12),iPr_def_12)
| ~ leq(iPr_def_12,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_77238,c_184,c_18152]) ).
tcf(c_77241,plain,
leq(multiplication(iPr_def_11,iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_77240,c_1044]) ).
tcf(c_78288,plain,
addition(multiplication(iPr_def_11,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_77241,c_61]) ).
tcf(c_78289,plain,
addition(iPr_def_12,multiplication(iPr_def_11,iPr_def_12)) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_78288,c_50,c_49]) ).
tcf(c_78301,plain,
multiplication(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_78289,c_12033]) ).
tcf(c_78316,plain,
addition(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_78301,c_12056]) ).
tcf(c_135234,plain,
addition(iPr_def_12,addition(iPr_def_10,multiplication(iPr_def_12,sK0))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11156,c_49310]) ).
tcf(c_135235,plain,
multiplication(iPr_def_12,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_135234,c_11003,c_11127,c_66538]) ).
tcf(c_137881,plain,
leq(multiplication(star(sK0),iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_47478,c_11245]) ).
tcf(c_137882,plain,
leq(iPr_def_12,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_137881,c_185,c_135235]) ).
tcf(c_137884,plain,
addition(iPr_def_12,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_137882,c_61]) ).
tcf(c_137885,plain,
addition(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_137884,c_50,c_49]) ).
tcf(c_137886,plain,
iPr_def_11 = iPr_def_12,
inference(demodulation,[status(thm)],[c_78316,c_137885]) ).
tcf(c_137887,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_137886,c_186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE044+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.37 % Computer : n008.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Wed Sep 23 18:46:54 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.43
% 0.14/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43
% 0.14/10.43 % Detected problem language: tptp
% 0.14/10.44 % Proving...
% 28.15/16.83 % SZS status Started for theBenchmark.p
% 28.15/16.83 % SZS status Theorem for theBenchmark.p
% 28.15/16.83
% 28.15/16.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 28.15/16.83
% 28.15/16.83 % ------ iProver source info
% 28.15/16.83
% 28.15/16.83 % git: date: 2026-07-19 20:42:38 +0200
% 28.15/16.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 28.15/16.83 % git: non_committed_changes: false
% 28.15/16.83
% 28.15/16.83 % ------ Parsing...
% 28.15/16.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 28.15/16.83
% 28.15/16.83 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 28.15/16.83
% 28.15/16.83 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 28.15/16.83
% 28.15/16.83 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.15/16.83 % ------ Proving...
% 28.15/16.83 % ------ Problem Properties
% 28.15/16.83
% 28.15/16.83 %
% 28.15/16.83 % clauses 21
% 28.15/16.83 % conjectures 1
% 28.15/16.83 % EPR 1
% 28.15/16.83 % Horn 21
% 28.15/16.83 % unary 17
% 28.15/16.83 % binary 4
% 28.15/16.83 % lits 25
% 28.15/16.83 % lits eq 17
% 28.15/16.83 % fd_pure 0
% 28.15/16.83 % fd_pseudo 0
% 28.15/16.83 % fd_cond 0
% 28.15/16.83 % fd_pseudo_cond 0
% 28.15/16.83 % AC symbols 1
% 28.15/16.83
% 28.15/16.83 % ------ Schedule dynamic 5 is on
% 28.15/16.83
% 28.15/16.83 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 28.15/16.83
% 28.15/16.83
% 28.15/16.83 % ------
% 28.15/16.83 % Current options:
% 28.15/16.83 % ------
% 28.15/16.83
% 28.15/16.83
% 28.15/16.83 %
% 28.15/16.83
% 28.15/16.83 % ------ Proving...
% 28.15/16.83 %
% 28.15/16.83
% 28.15/16.83 % SZS status Theorem for theBenchmark.p
% 28.15/16.83
% 28.15/16.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.15/16.83
% 28.15/16.83
%------------------------------------------------------------------------------