%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE011+4 : 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 : n004.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 01:52:08 PM UTC 2026
% Result : Theorem 3.89s 11.22s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 25
% Syntax : Number of formulae : 212 ( 116 unt; 9 def)
% Number of atoms : 697 ( 194 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 280 ( 124 ~; 120 |; 24 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 171 ( 0 sgn 164 !; 7 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+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/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(f17,axiom,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(f18,axiom,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(f19,conjecture,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> ( leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one)
& leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> ( leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one)
& leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ~ test(X0)
| ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( test(X0)
| c(X0) = zero ),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
? [X0,X1] :
( test(X0)
& test(X1)
& ( ~ leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one)
| ~ leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f30,plain,
? [X0,X1] :
( test(X0)
& test(X1)
& ( ~ leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one)
| ~ leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( ~ test(X0)
| ? [X1] : complement(X1,X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] :
( ( ~ test(X0)
| ? [X2] : complement(X2,X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ( ~ test(X0)
| complement(sK0(X0),X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f32]) ).
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(nnf_transformation,[],[f14]) ).
fof(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) != X1
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| c(X0) = X1 ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f37,plain,
( test(sK1)
& test(sK2)
& ( ~ leq(addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ leq(one,addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f30]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f48,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0,X1] :
( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( ~ test(X0)
| ~ complement(X0,X1)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f60,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
test(sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
test(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
( ~ leq(addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ leq(one,addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,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,[],[f38]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f39]) ).
tcf(c_51,plain,
! [X0: $i] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f40]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f41]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f43]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f44]) ).
tcf(c_59,plain,
! [X0: $i] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f48]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( test(X1)
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( complement(X1,X0)
| ( multiplication(X1,X0) != zero )
| ( multiplication(X0,X1) != zero )
| ( addition(X0,X1) != one ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X1,X0) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X0,X1) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = one )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( c(X0) = X1 )
| ~ test(X0)
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_68,plain,
! [X0: $i] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_69,plain,
! [X0: $i] :
( test(X0)
| ( c(X0) = zero ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( multiplication(c(X0),c(X1)) = c(addition(X0,X1)) )
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( addition(c(X0),c(X1)) = c(multiplication(X0,X1)) )
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_72,negated_conjecture,
( ~ leq(one,addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))))
| ~ leq(addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),one) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_73,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f62]) ).
tcf(c_74,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f61]) ).
tcf(c_94,negated_conjecture,
( ~ leq(one,addition(multiplication(c(sK1),c(sK2)),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2))))
| ~ leq(addition(multiplication(c(sK1),c(sK2)),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2))),one) ),
inference(theory_normalisation,[status(thm)],[c_72,c_50,c_49]) ).
tcf(c_396,definition,
iPr_def_10 = c(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_397,definition,
iPr_def_11 = c(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_398,definition,
iPr_def_12 = multiplication(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_399,definition,
iPr_def_13 = addition(sK2,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_400,definition,
iPr_def_14 = multiplication(iPr_def_13,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_401,definition,
iPr_def_15 = addition(sK1,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_402,definition,
iPr_def_16 = multiplication(iPr_def_15,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_403,definition,
iPr_def_17 = addition(iPr_def_14,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_404,definition,
iPr_def_18 = addition(iPr_def_12,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_405,negated_conjecture,
( ~ leq(iPr_def_18,one)
| ~ leq(one,iPr_def_18) ),
inference(demodulation,[status(thm)],[c_94,c_401,c_402,c_399,c_400,c_403,c_397,c_396,c_398,c_404]) ).
tcf(c_406,negated_conjecture,
test(sK1),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_407,negated_conjecture,
test(sK2),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_732,plain,
! [X0: $i] : addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
tcf(c_740,plain,
addition(iPr_def_11,sK2) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_399,c_50,c_49]) ).
tcf(c_741,plain,
addition(iPr_def_10,sK1) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_401,c_50,c_49]) ).
tcf(c_755,plain,
( complement(sK2,iPr_def_11)
| ~ test(sK2) ),
inference(superposition,[status(thm)],[c_397,c_68]) ).
tcf(c_756,plain,
( complement(sK1,iPr_def_10)
| ~ test(sK1) ),
inference(superposition,[status(thm)],[c_396,c_68]) ).
tcf(c_757,plain,
! [X0: $i] :
( test(c(X0))
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_68,c_61]) ).
tcf(c_760,plain,
complement(sK1,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_756,c_406]) ).
tcf(c_761,plain,
complement(sK2,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_755,c_407]) ).
tcf(c_762,plain,
test(iPr_def_10),
inference(superposition,[status(thm)],[c_760,c_61]) ).
tcf(c_763,plain,
test(iPr_def_11),
inference(superposition,[status(thm)],[c_761,c_61]) ).
tcf(c_778,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ( addition(X0,X1) != X0 ) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_781,plain,
! [X0: $i] : leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_60]) ).
tcf(c_806,plain,
multiplication(iPr_def_11,sK2) = zero,
inference(superposition,[status(thm)],[c_761,c_64]) ).
tcf(c_807,plain,
multiplication(iPr_def_10,sK1) = zero,
inference(superposition,[status(thm)],[c_760,c_64]) ).
tcf(c_818,plain,
multiplication(sK2,iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_761,c_65]) ).
tcf(c_819,plain,
multiplication(sK1,iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_760,c_65]) ).
tcf(c_844,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_868,plain,
addition(iPr_def_11,sK2) = one,
inference(superposition,[status(thm)],[c_761,c_66]) ).
tcf(c_869,plain,
addition(iPr_def_10,sK1) = one,
inference(superposition,[status(thm)],[c_760,c_66]) ).
tcf(c_870,plain,
one = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_869,c_741]) ).
tcf(c_871,plain,
one = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_868,c_740]) ).
tcf(c_877,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = iPr_def_15 )
| ~ complement(X0,X1) ),
inference(demodulation,[status(thm)],[c_66,c_870]) ).
tcf(c_878,plain,
! [X0: $i] : multiplication(iPr_def_15,X0) = X0,
inference(demodulation,[status(thm)],[c_55,c_870]) ).
tcf(c_879,plain,
! [X0: $i] : multiplication(X0,iPr_def_15) = X0,
inference(demodulation,[status(thm)],[c_54,c_870]) ).
tcf(c_880,plain,
( ~ leq(iPr_def_18,iPr_def_15)
| ~ leq(iPr_def_15,iPr_def_18) ),
inference(demodulation,[status(thm)],[c_405,c_870]) ).
tcf(c_883,plain,
sK2 = iPr_def_16,
inference(demodulation,[status(thm)],[c_402,c_878]) ).
tcf(c_885,plain,
multiplication(iPr_def_16,iPr_def_11) = zero,
inference(demodulation,[status(thm)],[c_818,c_883]) ).
tcf(c_886,plain,
multiplication(iPr_def_11,iPr_def_16) = zero,
inference(demodulation,[status(thm)],[c_806,c_883]) ).
tcf(c_888,plain,
addition(iPr_def_11,iPr_def_16) = iPr_def_13,
inference(demodulation,[status(thm)],[c_740,c_883]) ).
tcf(c_889,plain,
c(iPr_def_16) = iPr_def_11,
inference(demodulation,[status(thm)],[c_397,c_883]) ).
tcf(c_890,plain,
test(iPr_def_16),
inference(demodulation,[status(thm)],[c_407,c_883]) ).
tcf(c_892,plain,
multiplication(sK1,iPr_def_10) = multiplication(iPr_def_11,iPr_def_16),
inference(demodulation,[status(thm)],[c_819,c_886]) ).
tcf(c_893,plain,
multiplication(iPr_def_10,sK1) = multiplication(iPr_def_11,iPr_def_16),
inference(demodulation,[status(thm)],[c_807,c_886]) ).
tcf(c_897,plain,
! [X0: $i] :
( test(X0)
| ( multiplication(iPr_def_11,iPr_def_16) = c(X0) ) ),
inference(demodulation,[status(thm)],[c_69,c_886]) ).
tcf(c_898,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,iPr_def_16),X0) = X0,
inference(demodulation,[status(thm)],[c_732,c_886]) ).
tcf(c_899,plain,
! [X0: $i] : multiplication(multiplication(iPr_def_11,iPr_def_16),X0) = multiplication(iPr_def_11,iPr_def_16),
inference(demodulation,[status(thm)],[c_59,c_886]) ).
tcf(c_973,plain,
iPr_def_13 = iPr_def_15,
inference(demodulation,[status(thm)],[c_870,c_871]) ).
tcf(c_974,plain,
addition(iPr_def_10,sK1) = iPr_def_13,
inference(demodulation,[status(thm)],[c_741,c_973]) ).
tcf(c_977,plain,
( ~ leq(iPr_def_18,iPr_def_13)
| ~ leq(iPr_def_13,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_880,c_973]) ).
tcf(c_984,plain,
multiplication(iPr_def_11,iPr_def_16) = multiplication(iPr_def_16,iPr_def_11),
inference(demodulation,[status(thm)],[c_885,c_886]) ).
tcf(c_985,plain,
! [X0: $i] : multiplication(multiplication(iPr_def_11,iPr_def_16),X0) = multiplication(iPr_def_16,multiplication(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_984,c_53]) ).
tcf(c_986,plain,
! [X0: $i] : multiplication(iPr_def_16,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_11,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_985,c_899]) ).
tcf(c_998,plain,
! [X0: $i] : multiplication(iPr_def_13,X0) = X0,
inference(light_normalisation,[status(thm)],[c_878,c_973]) ).
tcf(c_999,plain,
sK1 = iPr_def_14,
inference(demodulation,[status(thm)],[c_400,c_998]) ).
tcf(c_1000,plain,
multiplication(iPr_def_10,iPr_def_14) = multiplication(iPr_def_11,iPr_def_16),
inference(demodulation,[status(thm)],[c_893,c_999]) ).
tcf(c_1001,plain,
multiplication(iPr_def_11,iPr_def_16) = multiplication(iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_892,c_999]) ).
tcf(c_1004,plain,
c(iPr_def_14) = iPr_def_10,
inference(demodulation,[status(thm)],[c_396,c_999]) ).
tcf(c_1005,plain,
test(iPr_def_14),
inference(demodulation,[status(thm)],[c_406,c_999]) ).
tcf(c_1007,plain,
multiplication(iPr_def_10,iPr_def_14) = zero,
inference(demodulation,[status(thm)],[c_886,c_1000]) ).
tcf(c_1008,plain,
multiplication(iPr_def_10,iPr_def_14) = multiplication(iPr_def_16,iPr_def_11),
inference(demodulation,[status(thm)],[c_984,c_1000]) ).
tcf(c_1047,plain,
! [X0: $i] :
( ( multiplication(c(iPr_def_16),c(X0)) = c(addition(iPr_def_16,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_890,c_70]) ).
tcf(c_1048,plain,
! [X0: $i] :
( ( multiplication(iPr_def_11,c(X0)) = c(addition(iPr_def_16,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1047,c_889]) ).
tcf(c_1069,plain,
! [X0: $i] :
( ( addition(c(iPr_def_10),c(X0)) = c(multiplication(iPr_def_10,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_762,c_71]) ).
tcf(c_1071,plain,
! [X0: $i] :
( ( addition(c(iPr_def_16),c(X0)) = c(multiplication(iPr_def_16,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_890,c_71]) ).
tcf(c_1072,plain,
! [X0: $i] :
( ( addition(iPr_def_11,c(X0)) = c(multiplication(iPr_def_16,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1071,c_889]) ).
tcf(c_1090,plain,
! [X0: $i,X1: $i] :
( complement(X1,X0)
| ( multiplication(X1,X0) != multiplication(iPr_def_10,iPr_def_14) )
| ( multiplication(X0,X1) != multiplication(iPr_def_10,iPr_def_14) )
| ( addition(X0,X1) != one ) ),
inference(light_normalisation,[status(thm)],[c_63,c_1007]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i] :
( complement(X1,X0)
| ( multiplication(X1,X0) != multiplication(iPr_def_10,iPr_def_14) )
| ( multiplication(X0,X1) != multiplication(iPr_def_10,iPr_def_14) )
| ( addition(X0,X1) != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_1090,c_871]) ).
tcf(c_1139,plain,
! [X0: $i] :
( ( multiplication(c(iPr_def_14),c(X0)) = c(addition(iPr_def_14,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_1005,c_70]) ).
tcf(c_1140,plain,
! [X0: $i] :
( ( multiplication(iPr_def_10,c(X0)) = c(addition(iPr_def_14,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1139,c_1004]) ).
tcf(c_1162,plain,
multiplication(iPr_def_11,c(iPr_def_14)) = c(addition(iPr_def_16,iPr_def_14)),
inference(superposition,[status(thm)],[c_1005,c_1048]) ).
tcf(c_1163,plain,
multiplication(iPr_def_11,c(iPr_def_14)) = c(addition(iPr_def_14,iPr_def_16)),
inference(theory_normalisation,[status(thm)],[c_1162,c_50,c_49]) ).
tcf(c_1164,plain,
multiplication(iPr_def_11,iPr_def_10) = c(iPr_def_17),
inference(light_normalisation,[status(thm)],[c_1163,c_403,c_1004]) ).
tcf(c_1190,plain,
addition(iPr_def_11,c(iPr_def_11)) = c(multiplication(iPr_def_16,iPr_def_11)),
inference(superposition,[status(thm)],[c_763,c_1072]) ).
tcf(c_1196,plain,
addition(iPr_def_11,c(iPr_def_11)) = c(multiplication(iPr_def_10,iPr_def_14)),
inference(light_normalisation,[status(thm)],[c_1190,c_1008]) ).
tcf(c_1235,plain,
multiplication(iPr_def_10,c(iPr_def_16)) = c(addition(iPr_def_14,iPr_def_16)),
inference(superposition,[status(thm)],[c_890,c_1140]) ).
tcf(c_1238,plain,
multiplication(iPr_def_11,iPr_def_10) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_1235,c_398,c_403,c_889,c_1164]) ).
tcf(c_1301,plain,
! [X0: $i] : multiplication(X0,iPr_def_13) = X0,
inference(light_normalisation,[status(thm)],[c_879,c_973]) ).
tcf(c_1326,plain,
addition(iPr_def_10,iPr_def_14) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_974,c_999]) ).
tcf(c_1338,plain,
c(iPr_def_17) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_1164,c_1238]) ).
tcf(c_1339,plain,
( test(iPr_def_12)
| ~ test(iPr_def_17) ),
inference(superposition,[status(thm)],[c_1338,c_757]) ).
tcf(c_1529,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,iPr_def_14),X0) = X0,
inference(light_normalisation,[status(thm)],[c_898,c_1000]) ).
tcf(c_1534,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,iPr_def_14)) = X0,
inference(superposition,[status(thm)],[c_1529,c_49]) ).
tcf(c_1548,plain,
multiplication(iPr_def_10,iPr_def_14) = multiplication(iPr_def_14,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_1001,c_1000]) ).
tcf(c_1549,plain,
( complement(iPr_def_10,iPr_def_14)
| ( multiplication(iPr_def_10,iPr_def_14) != multiplication(iPr_def_10,iPr_def_14) )
| ( addition(iPr_def_14,iPr_def_10) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1548,c_1091]) ).
tcf(c_1551,plain,
( complement(iPr_def_10,iPr_def_14)
| ( addition(iPr_def_14,iPr_def_10) != iPr_def_13 ) ),
inference(equality_resolution_simp,[status(thm)],[c_1549]) ).
tcf(c_1552,plain,
( complement(iPr_def_10,iPr_def_14)
| ( addition(iPr_def_10,iPr_def_14) != iPr_def_13 ) ),
inference(theory_normalisation,[status(thm)],[c_1551,c_50,c_49]) ).
tcf(c_1553,plain,
complement(iPr_def_10,iPr_def_14),
inference(ground_joinability,[status(thm)],[c_1552,c_1326]) ).
tcf(c_1555,plain,
( ( c(iPr_def_10) = iPr_def_14 )
| ~ test(iPr_def_10) ),
inference(superposition,[status(thm)],[c_1553,c_67]) ).
tcf(c_1557,plain,
c(iPr_def_10) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_1555,c_762]) ).
tcf(c_1635,plain,
! [X0: $i] :
( ( addition(iPr_def_14,c(X0)) = c(multiplication(iPr_def_10,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1069,c_1557]) ).
tcf(c_1644,plain,
addition(iPr_def_14,c(iPr_def_11)) = c(multiplication(iPr_def_10,iPr_def_11)),
inference(superposition,[status(thm)],[c_763,c_1635]) ).
tcf(c_1651,plain,
addition(iPr_def_14,c(iPr_def_11)) = c(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_1644,c_398]) ).
tcf(c_1730,plain,
( complement(iPr_def_11,iPr_def_16)
| ( multiplication(iPr_def_10,iPr_def_14) != multiplication(iPr_def_11,iPr_def_16) )
| ( addition(iPr_def_16,iPr_def_11) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1008,c_1091]) ).
tcf(c_1733,plain,
( complement(iPr_def_11,iPr_def_16)
| ( multiplication(iPr_def_10,iPr_def_14) != multiplication(iPr_def_11,iPr_def_16) )
| ( addition(iPr_def_11,iPr_def_16) != iPr_def_13 ) ),
inference(theory_normalisation,[status(thm)],[c_1730,c_50,c_49]) ).
tcf(c_1734,plain,
complement(iPr_def_11,iPr_def_16),
inference(ground_joinability,[status(thm)],[c_1733,c_888,c_1000]) ).
tcf(c_1769,plain,
! [X0: $i] :
( test(X0)
| ( multiplication(iPr_def_10,iPr_def_14) = c(X0) ) ),
inference(light_normalisation,[status(thm)],[c_897,c_1000]) ).
tcf(c_1832,plain,
( ( c(iPr_def_11) = iPr_def_16 )
| ~ test(iPr_def_11) ),
inference(superposition,[status(thm)],[c_1734,c_67]) ).
tcf(c_1834,plain,
c(iPr_def_11) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_1832,c_763]) ).
tcf(c_1887,plain,
c(iPr_def_12) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_1651,c_403,c_1834]) ).
tcf(c_1889,plain,
( complement(iPr_def_12,iPr_def_17)
| ~ test(iPr_def_12) ),
inference(superposition,[status(thm)],[c_1887,c_68]) ).
tcf(c_2146,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = iPr_def_13 )
| ~ complement(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_877,c_973]) ).
tcf(c_2160,plain,
( ( addition(iPr_def_17,iPr_def_12) = iPr_def_13 )
| ~ test(iPr_def_12) ),
inference(superposition,[status(thm)],[c_1889,c_2146]) ).
tcf(c_2162,plain,
( ( addition(iPr_def_12,iPr_def_17) = iPr_def_13 )
| ~ test(iPr_def_12) ),
inference(theory_normalisation,[status(thm)],[c_2160,c_50,c_49]) ).
tcf(c_2163,plain,
( ( iPr_def_13 = iPr_def_18 )
| ~ test(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_2162,c_404]) ).
tcf(c_2200,plain,
c(multiplication(iPr_def_10,iPr_def_14)) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_1196,c_888,c_1834]) ).
tcf(c_2387,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( multiplication(iPr_def_10,iPr_def_14) = c(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_1769,c_2163]) ).
tcf(c_2391,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( multiplication(iPr_def_10,iPr_def_14) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2387,c_1887]) ).
tcf(c_2557,plain,
addition(iPr_def_12,iPr_def_18) = iPr_def_18,
inference(superposition,[status(thm)],[c_404,c_844]) ).
tcf(c_2563,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_844,c_60]) ).
tcf(c_2596,plain,
leq(iPr_def_12,iPr_def_18),
inference(superposition,[status(thm)],[c_404,c_2563]) ).
tcf(c_2666,plain,
( leq(iPr_def_18,iPr_def_12)
| ( iPr_def_12 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2557,c_778]) ).
tcf(c_5622,plain,
! [X0: $i] : multiplication(iPr_def_16,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_10,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_986,c_1000]) ).
tcf(c_5626,plain,
multiplication(iPr_def_10,iPr_def_14) = multiplication(iPr_def_16,iPr_def_12),
inference(superposition,[status(thm)],[c_1238,c_5622]) ).
tcf(c_6115,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( c(iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2391,c_2200]) ).
tcf(c_6127,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( iPr_def_12 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_6115,c_1338]) ).
tcf(c_6194,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ leq(iPr_def_18,iPr_def_13)
| ~ leq(iPr_def_13,iPr_def_13) ),
inference(superposition,[status(thm)],[c_6127,c_977]) ).
tcf(c_6229,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ leq(iPr_def_18,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6194,c_781]) ).
tcf(c_6321,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ leq(iPr_def_13,iPr_def_13) ),
inference(superposition,[status(thm)],[c_6127,c_6229]) ).
tcf(c_6322,plain,
iPr_def_12 = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_6321,c_781]) ).
tcf(c_6383,plain,
( ( iPr_def_12 = iPr_def_18 )
| ~ test(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_2163,c_6322]) ).
tcf(c_6393,plain,
! [X0: $i] : multiplication(X0,iPr_def_12) = X0,
inference(demodulation,[status(thm)],[c_1301,c_6322]) ).
tcf(c_6396,plain,
( ~ leq(iPr_def_18,iPr_def_12)
| ~ leq(iPr_def_12,iPr_def_18) ),
inference(demodulation,[status(thm)],[c_977,c_6322]) ).
tcf(c_6399,plain,
~ leq(iPr_def_18,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_6396,c_2596]) ).
tcf(c_6406,plain,
multiplication(iPr_def_10,iPr_def_14) = iPr_def_16,
inference(demodulation,[status(thm)],[c_5626,c_6393]) ).
tcf(c_6441,plain,
! [X0: $i] : addition(X0,iPr_def_16) = X0,
inference(demodulation,[status(thm)],[c_1534,c_6406]) ).
tcf(c_6472,plain,
iPr_def_14 = iPr_def_17,
inference(demodulation,[status(thm)],[c_403,c_6441]) ).
tcf(c_6489,plain,
( test(iPr_def_12)
| ~ test(iPr_def_14) ),
inference(demodulation,[status(thm)],[c_1339,c_6472]) ).
tcf(c_6508,plain,
test(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_6489,c_1005]) ).
tcf(c_6579,plain,
iPr_def_12 = iPr_def_18,
inference(forward_subsumption_resolution,[status(thm)],[c_6383,c_6508]) ).
tcf(c_6610,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6399,c_6579,c_2666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE011+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/10.37 % Computer : n004.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Wed Sep 23 18:36:01 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.41 Running first-order theorem proving
% 0.14/10.41 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
% 0.14/10.42
% 0.14/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42
% 0.14/10.42 % Detected problem language: tptp
% 0.14/10.44 % Proving...
% 3.89/11.22 % SZS status Started for theBenchmark.p
% 3.89/11.22 % SZS status Theorem for theBenchmark.p
% 3.89/11.22
% 3.89/11.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.89/11.22
% 3.89/11.22 % ------ iProver source info
% 3.89/11.22
% 3.89/11.22 % git: date: 2026-07-19 20:42:38 +0200
% 3.89/11.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.89/11.22 % git: non_committed_changes: false
% 3.89/11.22
% 3.89/11.22 % ------ Parsing...
% 3.89/11.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.89/11.22
% 3.89/11.22 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.89/11.22
% 3.89/11.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.89/11.22
% 3.89/11.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.89/11.22 % ------ Proving...
% 3.89/11.22 % ------ Problem Properties
% 3.89/11.22
% 3.89/11.22 %
% 3.89/11.22 % clauses 35
% 3.89/11.22 % conjectures 3
% 3.89/11.22 % EPR 4
% 3.89/11.22 % Horn 34
% 3.89/11.22 % unary 22
% 3.89/11.22 % binary 9
% 3.89/11.22 % lits 53
% 3.89/11.22 % lits eq 31
% 3.89/11.22 % fd_pure 0
% 3.89/11.22 % fd_pseudo 0
% 3.89/11.22 % fd_cond 0
% 3.89/11.22 % fd_pseudo_cond 1
% 3.89/11.22 % AC symbols 1
% 3.89/11.22
% 3.89/11.22 % ------ Schedule dynamic 5 is on
% 3.89/11.22
% 3.89/11.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.89/11.22
% 3.89/11.22
% 3.89/11.22 % ------
% 3.89/11.22 % Current options:
% 3.89/11.22 % ------
% 3.89/11.22
% 3.89/11.22
% 3.89/11.22 %
% 3.89/11.22
% 3.89/11.22 % ------ Proving...
% 3.89/11.22 %
% 3.89/11.22
% 3.89/11.22 % SZS status Theorem for theBenchmark.p
% 3.89/11.22
% 3.89/11.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/11.23
% 3.89/11.23
%------------------------------------------------------------------------------