%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE034+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 01:52:14 PM UTC 2026
% Result : Theorem 7.83s 1.78s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 21
% Syntax : Number of formulae : 125 ( 95 unt; 10 def)
% Number of atoms : 314 ( 117 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 119 ( 45 ~; 34 |; 33 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 108 !; 10 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f19,conjecture,
! [X0,X1,X2,X3,X4] :
( ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3) )
=> leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3) )
=> leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ~ test(X0)
| ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
? [X0,X1,X2,X3,X4] :
( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3)
& ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
? [X0,X1,X2,X3,X4] :
( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3)
& ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
& ( addition(X0,X1) != X1
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) )
& ( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) )
& ( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) != X1
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| c(X0) = X1 ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f36,plain,
( leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero)
& leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero)
& test(sK5)
& test(sK3)
& test(sK4)
& ~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f28]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f48,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f56,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f63,plain,
test(sK5),
inference(cnf_transformation,[],[f36]) ).
fof(f65,plain,
test(sK4),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f67,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f56]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f37]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_51,plain,
! [X0: $i] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f39]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f41]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f43]) ).
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,[],[f45]) ).
tcf(c_59,plain,
! [X0: $i] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f47]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X0,X1) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = one )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_69,plain,
! [X0: $i] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_73,negated_conjecture,
~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f66]) ).
tcf(c_74,negated_conjecture,
test(sK4),
inference(cnf_transformation,[],[f65]) ).
tcf(c_76,negated_conjecture,
test(sK5),
inference(cnf_transformation,[],[f63]) ).
tcf(c_77,negated_conjecture,
leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f62]) ).
tcf(c_78,negated_conjecture,
leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f61]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_307,plain,
~ leq(multiplication(multiplication(sK3,multiplication(sK1,sK2)),c(sK5)),zero),
inference(demodulation,[status(thm)],[c_73,c_53]) ).
tcf(c_308,plain,
leq(multiplication(sK3,multiplication(sK1,c(sK4))),zero),
inference(demodulation,[status(thm)],[c_77,c_53]) ).
tcf(c_309,plain,
leq(multiplication(sK4,multiplication(sK2,c(sK5))),zero),
inference(demodulation,[status(thm)],[c_78,c_53]) ).
tcf(c_310,plain,
~ leq(multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))),zero),
inference(demodulation,[status(thm)],[c_307,c_53]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ( X1 != zero )
| ( multiplication(sK3,multiplication(sK1,c(sK4))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_100,c_308]) ).
tcf(c_343,plain,
addition(multiplication(sK3,multiplication(sK1,c(sK4))),zero) = zero,
inference(unflattening,[status(thm)],[c_342]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ( X1 != zero )
| ( multiplication(sK4,multiplication(sK2,c(sK5))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_100,c_309]) ).
tcf(c_348,plain,
addition(multiplication(sK4,multiplication(sK2,c(sK5))),zero) = zero,
inference(unflattening,[status(thm)],[c_347]) ).
tcf(c_364,plain,
( ( zero != zero )
| ( multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))) != multiplication(sK4,multiplication(sK2,c(sK5))) ) ),
inference(resolution_lifted,[status(thm)],[c_309,c_310]) ).
tcf(c_522,definition,
iPr_def_10 = c(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_523,definition,
iPr_def_11 = multiplication(sK2,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_524,definition,
iPr_def_12 = multiplication(sK1,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_525,definition,
iPr_def_13 = multiplication(sK3,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_526,definition,
iPr_def_14 = multiplication(sK4,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_527,definition,
iPr_def_15 = c(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_528,definition,
iPr_def_16 = multiplication(sK1,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_529,definition,
iPr_def_17 = multiplication(sK3,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_531,definition,
iPr_def_19 = addition(iPr_def_14,zero),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_532,definition,
iPr_def_20 = addition(iPr_def_17,zero),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_533,plain,
( ( iPr_def_13 != iPr_def_14 )
| ( zero != zero ) ),
inference(demodulation,[status(thm)],[c_364,c_526,c_522,c_523,c_524,c_525]) ).
tcf(c_536,plain,
iPr_def_19 = zero,
inference(demodulation,[status(thm)],[c_348,c_531]) ).
tcf(c_537,plain,
iPr_def_20 = zero,
inference(demodulation,[status(thm)],[c_343,c_532]) ).
tcf(c_538,negated_conjecture,
test(sK5),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_540,negated_conjecture,
test(sK4),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_861,plain,
iPr_def_13 != iPr_def_14,
inference(equality_resolution_simp,[status(thm)],[c_533]) ).
tcf(c_868,plain,
iPr_def_19 = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_537,c_536]) ).
tcf(c_870,plain,
! [X0: $i] : addition(X0,iPr_def_19) = X0,
inference(light_normalisation,[status(thm)],[c_51,c_536]) ).
tcf(c_872,plain,
! [X0: $i] : multiplication(iPr_def_19,X0) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_59,c_536]) ).
tcf(c_882,plain,
! [X0: $i] : multiplication(sK2,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_523,c_53]) ).
tcf(c_885,plain,
! [X0: $i] : multiplication(sK4,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_526,c_53]) ).
tcf(c_886,plain,
! [X0: $i] : multiplication(sK1,multiplication(iPr_def_15,X0)) = multiplication(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_528,c_53]) ).
tcf(c_887,plain,
! [X0: $i] : multiplication(sK3,multiplication(iPr_def_16,X0)) = multiplication(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_529,c_53]) ).
tcf(c_903,plain,
addition(iPr_def_14,iPr_def_19) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_531,c_536]) ).
tcf(c_904,plain,
iPr_def_14 = iPr_def_19,
inference(demodulation,[status(thm)],[c_903,c_870]) ).
tcf(c_906,plain,
! [X0: $i] : multiplication(iPr_def_14,X0) = iPr_def_14,
inference(demodulation,[status(thm)],[c_872,c_904]) ).
tcf(c_908,plain,
! [X0: $i] : addition(X0,iPr_def_14) = X0,
inference(demodulation,[status(thm)],[c_870,c_904]) ).
tcf(c_909,plain,
iPr_def_14 = iPr_def_20,
inference(demodulation,[status(thm)],[c_868,c_904]) ).
tcf(c_910,plain,
zero = iPr_def_14,
inference(demodulation,[status(thm)],[c_536,c_904]) ).
tcf(c_914,plain,
addition(iPr_def_17,iPr_def_14) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_532,c_909,c_910]) ).
tcf(c_915,plain,
iPr_def_14 = iPr_def_17,
inference(demodulation,[status(thm)],[c_914,c_908]) ).
tcf(c_916,plain,
multiplication(sK3,iPr_def_16) = iPr_def_14,
inference(demodulation,[status(thm)],[c_529,c_915]) ).
tcf(c_927,plain,
( complement(sK5,iPr_def_10)
| ~ test(sK5) ),
inference(superposition,[status(thm)],[c_522,c_69]) ).
tcf(c_928,plain,
( complement(sK4,iPr_def_15)
| ~ test(sK4) ),
inference(superposition,[status(thm)],[c_527,c_69]) ).
tcf(c_932,plain,
complement(sK4,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_928,c_540]) ).
tcf(c_933,plain,
complement(sK5,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_927,c_538]) ).
tcf(c_959,plain,
! [X0: $i] : addition(iPr_def_14,X0) = X0,
inference(superposition,[status(thm)],[c_908,c_49]) ).
tcf(c_981,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X0,X1) = iPr_def_14 )
| ~ complement(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_66,c_910]) ).
tcf(c_990,plain,
multiplication(sK5,iPr_def_10) = iPr_def_14,
inference(superposition,[status(thm)],[c_933,c_981]) ).
tcf(c_998,plain,
! [X0: $i] : multiplication(sK3,multiplication(iPr_def_16,X0)) = multiplication(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_916,c_53]) ).
tcf(c_999,plain,
! [X0: $i] : multiplication(sK3,multiplication(iPr_def_16,X0)) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_998,c_887,c_906]) ).
tcf(c_1076,plain,
addition(iPr_def_10,sK5) = one,
inference(superposition,[status(thm)],[c_933,c_67]) ).
tcf(c_1077,plain,
addition(iPr_def_15,sK4) = one,
inference(superposition,[status(thm)],[c_932,c_67]) ).
tcf(c_1160,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(sK5,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1076,c_57]) ).
tcf(c_1161,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(sK5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1160,c_55]) ).
tcf(c_1168,plain,
! [X0: $i] : addition(multiplication(iPr_def_15,X0),multiplication(sK4,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1077,c_57]) ).
tcf(c_1169,plain,
! [X0: $i] : addition(multiplication(iPr_def_15,X0),multiplication(sK4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1168,c_55]) ).
tcf(c_1247,plain,
addition(multiplication(iPr_def_10,iPr_def_10),iPr_def_14) = iPr_def_10,
inference(superposition,[status(thm)],[c_990,c_1161]) ).
tcf(c_1252,plain,
addition(iPr_def_14,multiplication(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1247,c_50,c_49]) ).
tcf(c_1288,plain,
multiplication(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1252,c_959]) ).
tcf(c_2023,plain,
multiplication(sK2,iPr_def_10) = multiplication(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_1288,c_882]) ).
tcf(c_2025,plain,
multiplication(iPr_def_11,iPr_def_10) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2023,c_523]) ).
tcf(c_2283,plain,
! [X0: $i] : multiplication(sK4,multiplication(iPr_def_11,X0)) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_885,c_906]) ).
tcf(c_2287,plain,
multiplication(sK4,iPr_def_11) = iPr_def_14,
inference(superposition,[status(thm)],[c_2025,c_2283]) ).
tcf(c_5100,plain,
addition(multiplication(iPr_def_15,iPr_def_11),iPr_def_14) = iPr_def_11,
inference(superposition,[status(thm)],[c_2287,c_1169]) ).
tcf(c_5117,plain,
addition(iPr_def_14,multiplication(iPr_def_15,iPr_def_11)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5100,c_50,c_49]) ).
tcf(c_6790,plain,
multiplication(iPr_def_15,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_5117,c_959]) ).
tcf(c_6796,plain,
multiplication(sK1,iPr_def_11) = multiplication(iPr_def_16,iPr_def_11),
inference(superposition,[status(thm)],[c_6790,c_886]) ).
tcf(c_6798,plain,
multiplication(iPr_def_16,iPr_def_11) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_6796,c_524]) ).
tcf(c_6807,plain,
multiplication(sK3,iPr_def_12) = iPr_def_14,
inference(superposition,[status(thm)],[c_6798,c_999]) ).
tcf(c_6808,plain,
iPr_def_13 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_6807,c_525]) ).
tcf(c_6809,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6808,c_861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE034+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Wed Sep 23 18:48:27 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 7.83/1.78 % SZS status Started for theBenchmark.p
% 7.83/1.78 % SZS status Theorem for theBenchmark.p
% 7.83/1.78
% 7.83/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.83/1.78
% 7.83/1.78 % ------ iProver source info
% 7.83/1.78
% 7.83/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 7.83/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.83/1.78 % git: non_committed_changes: false
% 7.83/1.78
% 7.83/1.78 % ------ Parsing...
% 7.83/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.83/1.78
% 7.83/1.78 % ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 7.83/1.78
% 7.83/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.83/1.78
% 7.83/1.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.83/1.78 % ------ Proving...
% 7.83/1.78 % ------ Problem Properties
% 7.83/1.78
% 7.83/1.78 %
% 7.83/1.78 % clauses 41
% 7.83/1.78 % conjectures 3
% 7.83/1.78 % EPR 9
% 7.83/1.78 % Horn 40
% 7.83/1.78 % unary 28
% 7.83/1.78 % binary 9
% 7.83/1.78 % lits 59
% 7.83/1.78 % lits eq 39
% 7.83/1.78 % fd_pure 0
% 7.83/1.78 % fd_pseudo 0
% 7.83/1.78 % fd_cond 0
% 7.83/1.78 % fd_pseudo_cond 1
% 7.83/1.78 % AC symbols 1
% 7.83/1.78
% 7.83/1.78 % ------ Schedule dynamic 5 is on
% 7.83/1.78
% 7.83/1.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.83/1.78
% 7.83/1.78
% 7.83/1.78 % ------
% 7.83/1.78 % Current options:
% 7.83/1.78 % ------
% 7.83/1.78
% 7.83/1.78
% 7.83/1.78 %
% 7.83/1.78
% 7.83/1.78 % ------ Proving...
% 7.83/1.78 %
% 7.83/1.78
% 7.83/1.78 % SZS status Theorem for theBenchmark.p
% 7.83/1.78
% 7.83/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.83/1.78
% 7.83/1.78
%------------------------------------------------------------------------------