%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE042+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 : n002.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 01:52:15 PM UTC 2026
% Result : Theorem 17.91s 15.45s
% Output : CNFRefutation 23.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 127 ( 113 unt; 6 def)
% Number of atoms : 336 ( 90 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 18 ~; 12 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 130 !; 2 ?; 62 :)
% 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(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).
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(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(f17,conjecture,
! [X0,X1] : multiplication(star(multiplication(X0,X1)),X0) = multiplication(X0,star(multiplication(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : multiplication(star(multiplication(X0,X1)),X0) = multiplication(X0,star(multiplication(X1,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(f20,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0,X1] : multiplication(star(multiplication(X0,X1)),X0) != multiplication(X0,star(multiplication(X1,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,
multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(sK0,star(multiplication(sK1,sK0))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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(f28,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(f40,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(sK0,star(multiplication(sK1,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_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f28]) ).
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_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_66,negated_conjecture,
multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(sK0,star(multiplication(sK1,sK0))),
inference(cnf_transformation,[],[f41]) ).
tcf(c_182,definition,
iPr_def_10 = multiplication(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_183,definition,
iPr_def_11 = star(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_184,definition,
iPr_def_12 = multiplication(iPr_def_11,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_185,definition,
iPr_def_13 = multiplication(sK1,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_186,definition,
iPr_def_14 = star(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_187,definition,
iPr_def_15 = multiplication(sK0,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_188,negated_conjecture,
iPr_def_12 != iPr_def_15,
inference(demodulation,[status(thm)],[c_66,c_185,c_186,c_187,c_182,c_183,c_184]) ).
tcf(c_491,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_507,plain,
leq(addition(one,multiplication(iPr_def_13,iPr_def_14)),iPr_def_14),
inference(superposition,[status(thm)],[c_186,c_62]) ).
tcf(c_509,plain,
leq(addition(multiplication(iPr_def_13,iPr_def_14),one),iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_507,c_50,c_49]) ).
tcf(c_518,plain,
leq(addition(one,multiplication(iPr_def_11,iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_183,c_63]) ).
tcf(c_519,plain,
leq(addition(one,multiplication(iPr_def_14,iPr_def_13)),iPr_def_14),
inference(superposition,[status(thm)],[c_186,c_63]) ).
tcf(c_521,plain,
leq(addition(multiplication(iPr_def_14,iPr_def_13),one),iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_519,c_50,c_49]) ).
tcf(c_522,plain,
leq(addition(multiplication(iPr_def_11,iPr_def_10),one),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_518,c_50,c_49]) ).
tcf(c_570,plain,
addition(addition(multiplication(iPr_def_13,iPr_def_14),one),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_509,c_61]) ).
tcf(c_573,plain,
addition(addition(multiplication(iPr_def_14,iPr_def_13),one),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_521,c_61]) ).
tcf(c_574,plain,
addition(addition(multiplication(iPr_def_11,iPr_def_10),one),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_522,c_61]) ).
tcf(c_575,plain,
addition(iPr_def_11,addition(multiplication(iPr_def_11,iPr_def_10),one)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_574,c_50,c_49]) ).
tcf(c_576,plain,
addition(iPr_def_14,addition(multiplication(iPr_def_14,iPr_def_13),one)) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_573,c_50,c_49]) ).
tcf(c_578,plain,
addition(iPr_def_14,addition(multiplication(iPr_def_13,iPr_def_14),one)) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_570,c_50,c_49]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_603,plain,
! [X0: $i] : multiplication(sK0,multiplication(sK1,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_182,c_53]) ).
tcf(c_604,plain,
! [X0: $i] : multiplication(sK1,multiplication(sK0,X0)) = multiplication(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_185,c_53]) ).
tcf(c_605,plain,
! [X0: $i] : multiplication(iPr_def_11,multiplication(sK0,X0)) = multiplication(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_184,c_53]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_587,c_60]) ).
tcf(c_1158,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_1132]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X0,X2))),
inference(superposition,[status(thm)],[c_491,c_1132]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i] : leq(addition(X0,X1),addition(X0,addition(X2,X1))),
inference(superposition,[status(thm)],[c_491,c_1158]) ).
tcf(c_1221,plain,
leq(multiplication(iPr_def_11,iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_575,c_1165]) ).
tcf(c_1222,plain,
leq(multiplication(iPr_def_14,iPr_def_13),iPr_def_14),
inference(superposition,[status(thm)],[c_576,c_1165]) ).
tcf(c_1224,plain,
leq(multiplication(iPr_def_13,iPr_def_14),iPr_def_14),
inference(superposition,[status(thm)],[c_578,c_1165]) ).
tcf(c_1259,plain,
addition(multiplication(iPr_def_11,iPr_def_10),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_1221,c_61]) ).
tcf(c_1260,plain,
addition(iPr_def_11,multiplication(iPr_def_11,iPr_def_10)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1259,c_50,c_49]) ).
tcf(c_1261,plain,
addition(multiplication(iPr_def_14,iPr_def_13),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_1222,c_61]) ).
tcf(c_1262,plain,
addition(iPr_def_14,multiplication(iPr_def_14,iPr_def_13)) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_1261,c_50,c_49]) ).
tcf(c_1265,plain,
addition(multiplication(iPr_def_13,iPr_def_14),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_1224,c_61]) ).
tcf(c_1266,plain,
addition(iPr_def_14,multiplication(iPr_def_13,iPr_def_14)) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_1265,c_50,c_49]) ).
tcf(c_1398,plain,
! [X0: $i] : addition(iPr_def_11,addition(multiplication(iPr_def_11,iPr_def_10),X0)) = addition(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1260,c_50]) ).
tcf(c_1404,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(multiplication(iPr_def_11,iPr_def_10),X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1260,c_57]) ).
tcf(c_1409,plain,
addition(iPr_def_11,one) = iPr_def_11,
inference(demodulation,[status(thm)],[c_575,c_1398]) ).
tcf(c_1446,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(one,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1409,c_57]) ).
tcf(c_1451,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),X0) = multiplication(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_1446,c_55]) ).
tcf(c_1452,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_1451,c_50,c_49]) ).
tcf(c_1468,plain,
! [X0: $i] : addition(iPr_def_14,addition(multiplication(iPr_def_14,iPr_def_13),X0)) = addition(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_1262,c_50]) ).
tcf(c_1479,plain,
addition(iPr_def_14,one) = iPr_def_14,
inference(demodulation,[status(thm)],[c_576,c_1468]) ).
tcf(c_1617,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_14),multiplication(X0,one)) = multiplication(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_1479,c_56]) ).
tcf(c_1628,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_14),X0) = multiplication(X0,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_1617,c_54]) ).
tcf(c_1629,plain,
! [X0: $i] : addition(X0,multiplication(X0,iPr_def_14)) = multiplication(X0,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_1628,c_50,c_49]) ).
tcf(c_1991,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_14),multiplication(X0,multiplication(iPr_def_13,iPr_def_14))) = multiplication(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_1266,c_56]) ).
tcf(c_3303,plain,
multiplication(sK0,iPr_def_13) = multiplication(iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_185,c_603]) ).
tcf(c_3863,plain,
multiplication(sK1,iPr_def_15) = multiplication(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_187,c_604]) ).
tcf(c_3896,plain,
multiplication(sK0,multiplication(iPr_def_13,iPr_def_14)) = multiplication(iPr_def_10,iPr_def_15),
inference(superposition,[status(thm)],[c_3863,c_603]) ).
tcf(c_4365,plain,
multiplication(iPr_def_11,multiplication(iPr_def_10,sK0)) = multiplication(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_3303,c_605]) ).
tcf(c_6244,plain,
addition(sK0,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_184,c_1452]) ).
tcf(c_6342,plain,
addition(iPr_def_12,sK0) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_6244,c_50,c_49]) ).
tcf(c_6591,plain,
! [X0: $i] : leq(addition(X0,sK0),addition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_6342,c_1183]) ).
tcf(c_7477,plain,
! [X0: $i] : leq(addition(X0,sK0),addition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_49,c_6591]) ).
tcf(c_14492,plain,
addition(sK0,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_187,c_1629]) ).
tcf(c_14664,plain,
addition(iPr_def_15,sK0) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_14492,c_50,c_49]) ).
tcf(c_15440,plain,
! [X0: $i] : leq(addition(X0,sK0),addition(X0,iPr_def_15)),
inference(superposition,[status(thm)],[c_14664,c_1183]) ).
tcf(c_18299,plain,
! [X0: $i] : leq(addition(X0,sK0),addition(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_49,c_15440]) ).
tcf(c_35634,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(iPr_def_11,multiplication(iPr_def_10,X0))) = multiplication(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_1404,c_53]) ).
tcf(c_35638,plain,
addition(iPr_def_12,multiplication(iPr_def_11,multiplication(iPr_def_10,sK0))) = iPr_def_12,
inference(superposition,[status(thm)],[c_184,c_35634]) ).
tcf(c_35750,plain,
addition(iPr_def_12,multiplication(iPr_def_12,iPr_def_13)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_35638,c_4365]) ).
tcf(c_43529,plain,
leq(addition(multiplication(iPr_def_12,iPr_def_13),sK0),iPr_def_12),
inference(superposition,[status(thm)],[c_35750,c_7477]) ).
tcf(c_43611,plain,
leq(multiplication(sK0,star(iPr_def_13)),iPr_def_12),
inference(superposition,[status(thm)],[c_43529,c_65]) ).
tcf(c_43612,plain,
leq(iPr_def_15,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_43611,c_186,c_187]) ).
tcf(c_43614,plain,
addition(iPr_def_15,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_43612,c_61]) ).
tcf(c_43615,plain,
addition(iPr_def_12,iPr_def_15) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_43614,c_50,c_49]) ).
tcf(c_61863,plain,
addition(iPr_def_15,multiplication(sK0,multiplication(iPr_def_13,iPr_def_14))) = iPr_def_15,
inference(superposition,[status(thm)],[c_187,c_1991]) ).
tcf(c_61971,plain,
addition(iPr_def_15,multiplication(iPr_def_10,iPr_def_15)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_61863,c_3896]) ).
tcf(c_80395,plain,
leq(addition(multiplication(iPr_def_10,iPr_def_15),sK0),iPr_def_15),
inference(superposition,[status(thm)],[c_61971,c_18299]) ).
tcf(c_80458,plain,
leq(multiplication(star(iPr_def_10),sK0),iPr_def_15),
inference(superposition,[status(thm)],[c_80395,c_64]) ).
tcf(c_80459,plain,
leq(iPr_def_12,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_80458,c_183,c_184]) ).
tcf(c_81606,plain,
addition(iPr_def_12,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_80459,c_61]) ).
tcf(c_81607,plain,
iPr_def_12 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_81606,c_43615]) ).
tcf(c_81608,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_81607,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE042+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.56 % Computer : n002.cluster.edu
% 0.12/10.56 % Model : x86_64 x86_64
% 0.12/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.56 % Memory : 8046.5625MB
% 0.12/10.56 % OS : Linux 6.8.0-71-generic
% 0.12/10.57 % CPULimit : 300
% 0.12/10.57 % WCLimit : 300
% 0.12/10.57 % DateTime : Wed Sep 23 18:47:49 UTC 2026
% 0.12/10.57 % CPUTime :
% 0.12/10.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.61 Running first-order theorem proving
% 0.16/10.61 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
% 0.16/10.62
% 0.16/10.62 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.62
% 0.16/10.62 % Detected problem language: tptp
% 0.16/10.63 % Proving...
% 17.91/15.45 % SZS status Started for theBenchmark.p
% 17.91/15.45 % SZS status Theorem for theBenchmark.p
% 17.91/15.45
% 17.91/15.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.91/15.45
% 17.91/15.45 % ------ iProver source info
% 17.91/15.45
% 17.91/15.45 % git: date: 2026-07-19 20:42:38 +0200
% 17.91/15.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.91/15.45 % git: non_committed_changes: false
% 17.91/15.45
% 17.91/15.45 % ------ Parsing...
% 17.91/15.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.91/15.45
% 17.91/15.45 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 17.91/15.45
% 17.91/15.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.91/15.45
% 17.91/15.45 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.91/15.45 % ------ Proving...
% 17.91/15.45 % ------ Problem Properties
% 17.91/15.45
% 17.91/15.45 %
% 17.91/15.45 % clauses 24
% 17.91/15.45 % conjectures 1
% 17.91/15.45 % EPR 1
% 17.91/15.45 % Horn 24
% 17.91/15.45 % unary 20
% 17.91/15.45 % binary 4
% 17.91/15.45 % lits 28
% 17.91/15.45 % lits eq 20
% 17.91/15.45 % fd_pure 0
% 17.91/15.45 % fd_pseudo 0
% 17.91/15.45 % fd_cond 0
% 17.91/15.45 % fd_pseudo_cond 0
% 17.91/15.45 % AC symbols 1
% 17.91/15.45
% 17.91/15.45 % ------ Schedule dynamic 5 is on
% 17.91/15.45
% 17.91/15.45 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.91/15.45
% 17.91/15.45
% 17.91/15.45 % ------
% 17.91/15.45 % Current options:
% 17.91/15.45 % ------
% 17.91/15.45
% 17.91/15.45
% 17.91/15.45 %
% 17.91/15.45
% 17.91/15.45 % ------ Proving...
% 17.91/15.45 %
% 17.91/15.45
% 17.91/15.45 % SZS status Theorem for theBenchmark.p
% 17.91/15.45
% 17.91/15.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.42/15.46
%------------------------------------------------------------------------------