TSTP Solution File: KLE017+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:31:42 EDT 2023
% Result : Theorem 32.96s 5.23s
% Output : CNFRefutation 32.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 160 ( 73 unt; 0 def)
% Number of atoms : 351 ( 138 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 295 ( 104 ~; 112 |; 57 &)
% ( 11 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 184 ( 3 sgn; 91 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f16,axiom,
! [X3] :
( ~ test(X3)
=> zero = c(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_4) ).
fof(f17,conjecture,
! [X3,X4,X5] :
( ( test(X5)
& test(X4)
& test(X3) )
=> ( leq(X5,multiplication(X3,X4))
<=> ( leq(X5,X4)
& leq(X5,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X3,X4,X5] :
( ( test(X5)
& test(X4)
& test(X3) )
=> ( leq(X5,multiplication(X3,X4))
<=> ( leq(X5,X4)
& leq(X5,X3) ) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f20,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f21,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f23,plain,
! [X0] :
( ~ test(X0)
=> zero = c(X0) ),
inference(rectify,[],[f16]) ).
fof(f24,plain,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1)
& test(X0) )
=> ( leq(X2,multiplication(X0,X1))
<=> ( leq(X2,X1)
& leq(X2,X0) ) ) ),
inference(rectify,[],[f18]) ).
fof(f25,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f26,plain,
! [X0] :
( zero = c(X0)
| test(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ( leq(X2,multiplication(X0,X1))
<~> ( leq(X2,X1)
& leq(X2,X0) ) )
& test(X2)
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f28,plain,
? [X0,X1,X2] :
( ( leq(X2,multiplication(X0,X1))
<~> ( leq(X2,X1)
& leq(X2,X0) ) )
& test(X2)
& test(X1)
& test(X0) ),
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(f30,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f35,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ( ~ leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(X2,multiplication(X0,X1)) )
& ( ( leq(X2,X1)
& leq(X2,X0) )
| leq(X2,multiplication(X0,X1)) )
& test(X2)
& test(X1)
& test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ( ~ leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(X2,multiplication(X0,X1)) )
& ( ( leq(X2,X1)
& leq(X2,X0) )
| leq(X2,multiplication(X0,X1)) )
& test(X2)
& test(X1)
& test(X0) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
( ? [X0,X1,X2] :
( ( ~ leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(X2,multiplication(X0,X1)) )
& ( ( leq(X2,X1)
& leq(X2,X0) )
| leq(X2,multiplication(X0,X1)) )
& test(X2)
& test(X1)
& test(X0) )
=> ( ( ~ leq(sK3,sK2)
| ~ leq(sK3,sK1)
| ~ leq(sK3,multiplication(sK1,sK2)) )
& ( ( leq(sK3,sK2)
& leq(sK3,sK1) )
| leq(sK3,multiplication(sK1,sK2)) )
& test(sK3)
& test(sK2)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ( ~ leq(sK3,sK2)
| ~ leq(sK3,sK1)
| ~ leq(sK3,multiplication(sK1,sK2)) )
& ( ( leq(sK3,sK2)
& leq(sK3,sK1) )
| leq(sK3,multiplication(sK1,sK2)) )
& test(sK3)
& test(sK2)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f38,f39]) ).
fof(f41,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f42,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f48,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f49,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X0,X1] :
( test(X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0,X1] :
( zero = multiplication(X1,X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f61,plain,
! [X0,X1] :
( c(X0) = X1
| ~ complement(X0,X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0] :
( zero = c(X0)
| test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
test(sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f64,plain,
test(sK2),
inference(cnf_transformation,[],[f40]) ).
fof(f65,plain,
test(sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f66,plain,
( leq(sK3,sK1)
| leq(sK3,multiplication(sK1,sK2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f67,plain,
( leq(sK3,sK2)
| leq(sK3,multiplication(sK1,sK2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f68,plain,
( ~ leq(sK3,sK2)
| ~ leq(sK3,sK1)
| ~ leq(sK3,multiplication(sK1,sK2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f69,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f60]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f41]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f42]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f43]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f46]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f47]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f48]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f49]) ).
cnf(c_60,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_61,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_62,plain,
( ~ complement(X0,X1)
| test(X1) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_63,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_65,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_66,plain,
( ~ complement(X0,X1)
| multiplication(X0,X1) = zero ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_67,plain,
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_68,plain,
( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_69,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_70,plain,
( c(X0) = zero
| test(X0) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_71,negated_conjecture,
( ~ leq(sK3,multiplication(sK1,sK2))
| ~ leq(sK3,sK2)
| ~ leq(sK3,sK1) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_72,negated_conjecture,
( leq(sK3,multiplication(sK1,sK2))
| leq(sK3,sK2) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_73,negated_conjecture,
( leq(sK3,multiplication(sK1,sK2))
| leq(sK3,sK1) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_74,negated_conjecture,
test(sK3),
inference(cnf_transformation,[],[f65]) ).
cnf(c_75,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f64]) ).
cnf(c_76,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f63]) ).
cnf(c_98,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
cnf(c_100,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(prop_impl_just,[status(thm)],[c_69]) ).
cnf(c_396,plain,
( X0 != sK3
| complement(X0,c(X0)) ),
inference(resolution_lifted,[status(thm)],[c_100,c_74]) ).
cnf(c_397,plain,
complement(sK3,c(sK3)),
inference(unflattening,[status(thm)],[c_396]) ).
cnf(c_410,plain,
( X0 != sK3
| complement(sK0(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_98,c_74]) ).
cnf(c_411,plain,
complement(sK0(sK3),sK3),
inference(unflattening,[status(thm)],[c_410]) ).
cnf(c_623,plain,
X0 = X0,
theory(equality) ).
cnf(c_630,plain,
( X0 != X1
| X2 != X3
| ~ complement(X1,X3)
| complement(X0,X2) ),
theory(equality) ).
cnf(c_1540,plain,
( X0 != sK3
| X1 != c(sK3)
| ~ complement(sK3,c(sK3))
| complement(X0,X1) ),
inference(instantiation,[status(thm)],[c_630]) ).
cnf(c_1664,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_623]) ).
cnf(c_1968,plain,
( addition(sK3,X0) != X0
| leq(sK3,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2034,plain,
( ~ complement(X0,sK3)
| ~ test(X0)
| c(X0) = sK3 ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_2486,plain,
( X0 != c(sK3)
| sK3 != sK3
| ~ complement(sK3,c(sK3))
| complement(sK3,X0) ),
inference(instantiation,[status(thm)],[c_1540]) ).
cnf(c_4043,plain,
( ~ complement(sK0(sK3),sK3)
| ~ test(sK0(sK3))
| c(sK0(sK3)) = sK3 ),
inference(instantiation,[status(thm)],[c_2034]) ).
cnf(c_5984,plain,
( addition(sK3,sK2) != sK2
| leq(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_1968]) ).
cnf(c_5988,plain,
( addition(sK3,sK1) != sK1
| leq(sK3,sK1) ),
inference(instantiation,[status(thm)],[c_1968]) ).
cnf(c_10109,plain,
( addition(sK3,multiplication(sK1,sK2)) = multiplication(sK1,sK2)
| leq(sK3,sK1) ),
inference(superposition,[status(thm)],[c_73,c_61]) ).
cnf(c_10110,plain,
( addition(sK3,multiplication(sK1,sK2)) = multiplication(sK1,sK2)
| leq(sK3,sK2) ),
inference(superposition,[status(thm)],[c_72,c_61]) ).
cnf(c_10121,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_10122,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_10123,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_10122,c_50,c_49]) ).
cnf(c_10142,plain,
( ~ test(X0)
| multiplication(X0,sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
cnf(c_10143,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_69,c_67]) ).
cnf(c_10166,plain,
multiplication(sK3,sK0(sK3)) = zero,
inference(superposition,[status(thm)],[c_74,c_10142]) ).
cnf(c_10179,plain,
multiplication(c(sK3),sK3) = zero,
inference(superposition,[status(thm)],[c_74,c_10143]) ).
cnf(c_10275,plain,
( addition(sK3,multiplication(sK1,sK2)) = multiplication(sK1,sK2)
| addition(sK3,sK1) = sK1 ),
inference(superposition,[status(thm)],[c_10109,c_61]) ).
cnf(c_10282,plain,
( addition(sK3,multiplication(sK1,sK2)) = multiplication(sK1,sK2)
| addition(sK3,sK2) = sK2 ),
inference(superposition,[status(thm)],[c_10110,c_61]) ).
cnf(c_10290,plain,
( addition(sK3,addition(multiplication(sK1,sK2),X0)) = addition(multiplication(sK1,sK2),X0)
| addition(sK3,sK1) = sK1 ),
inference(superposition,[status(thm)],[c_10275,c_50]) ).
cnf(c_10306,plain,
( addition(sK3,addition(multiplication(sK1,sK2),X0)) = addition(multiplication(sK1,sK2),X0)
| addition(sK3,sK2) = sK2 ),
inference(superposition,[status(thm)],[c_10282,c_50]) ).
cnf(c_12328,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_74,c_10121]) ).
cnf(c_12329,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_75,c_10121]) ).
cnf(c_12330,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_76,c_10121]) ).
cnf(c_14726,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_12328,c_56]) ).
cnf(c_14750,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = X0,
inference(light_normalisation,[status(thm)],[c_14726,c_54]) ).
cnf(c_15076,plain,
addition(multiplication(X0,sK2),multiplication(X0,sK0(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_12329,c_56]) ).
cnf(c_15100,plain,
addition(multiplication(X0,sK2),multiplication(X0,sK0(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_15076,c_54]) ).
cnf(c_15514,plain,
addition(multiplication(sK1,X0),multiplication(sK0(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_12330,c_57]) ).
cnf(c_15534,plain,
addition(multiplication(sK1,X0),multiplication(sK0(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_15514,c_55]) ).
cnf(c_17637,plain,
( ~ complement(X0,sK0(X1))
| test(sK0(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_18739,plain,
addition(sK3,c(sK3)) = one,
inference(superposition,[status(thm)],[c_74,c_10123]) ).
cnf(c_19055,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_18739,c_57]) ).
cnf(c_19075,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_19055,c_55]) ).
cnf(c_25329,plain,
( ~ complement(X0,sK0(sK3))
| test(sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_17637]) ).
cnf(c_27290,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = c(sK3),
inference(superposition,[status(thm)],[c_10179,c_14750]) ).
cnf(c_31713,plain,
addition(sK3,sK1) = sK1,
inference(superposition,[status(thm)],[c_15100,c_10290]) ).
cnf(c_32406,plain,
addition(sK3,sK2) = sK2,
inference(superposition,[status(thm)],[c_15534,c_10306]) ).
cnf(c_32613,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = sK0(sK3),
inference(superposition,[status(thm)],[c_10166,c_19075]) ).
cnf(c_32655,plain,
sK0(sK3) = c(sK3),
inference(light_normalisation,[status(thm)],[c_32613,c_27290]) ).
cnf(c_53209,plain,
( sK0(sK3) != c(sK3)
| sK3 != sK3
| ~ complement(sK3,c(sK3))
| complement(sK3,sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_2486]) ).
cnf(c_53210,plain,
( ~ complement(sK3,sK0(sK3))
| test(sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_25329]) ).
cnf(c_181126,negated_conjecture,
leq(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_72,c_5984,c_32406]) ).
cnf(c_181128,negated_conjecture,
leq(sK3,sK1),
inference(global_subsumption_just,[status(thm)],[c_73,c_5988,c_31713]) ).
cnf(c_181130,negated_conjecture,
~ leq(sK3,multiplication(sK1,sK2)),
inference(global_subsumption_just,[status(thm)],[c_71,c_71,c_5984,c_5988,c_31713,c_32406]) ).
cnf(c_181138,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_181197,plain,
addition(sK3,sK2) = sK2,
inference(superposition,[status(thm)],[c_181126,c_61]) ).
cnf(c_181198,plain,
addition(sK3,sK1) = sK1,
inference(superposition,[status(thm)],[c_181128,c_61]) ).
cnf(c_181205,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_181282,plain,
( ~ test(sK0(X0))
| ~ test(X0)
| c(sK0(X0)) = X0 ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
cnf(c_181297,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK2)) = multiplication(X0,sK2),
inference(superposition,[status(thm)],[c_181197,c_56]) ).
cnf(c_181325,plain,
addition(multiplication(sK3,X0),multiplication(sK1,X0)) = multiplication(sK1,X0),
inference(superposition,[status(thm)],[c_181198,c_57]) ).
cnf(c_181373,plain,
addition(multiplication(X0,sK3),addition(multiplication(X0,sK2),X1)) = addition(multiplication(X0,sK2),X1),
inference(superposition,[status(thm)],[c_181297,c_50]) ).
cnf(c_181762,plain,
addition(multiplication(sK3,sK3),multiplication(sK1,sK2)) = multiplication(sK1,sK2),
inference(superposition,[status(thm)],[c_181325,c_181373]) ).
cnf(c_181804,plain,
leq(multiplication(sK3,sK3),multiplication(sK1,sK2)),
inference(superposition,[status(thm)],[c_181762,c_60]) ).
cnf(c_184605,plain,
( ~ test(X0)
| c(sK0(X0)) = X0
| c(sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_70,c_181282]) ).
cnf(c_184616,plain,
( c(sK0(sK3)) = zero
| c(sK0(sK3)) = sK3 ),
inference(superposition,[status(thm)],[c_74,c_184605]) ).
cnf(c_184642,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_74,c_181205]) ).
cnf(c_184656,plain,
addition(multiplication(sK3,X0),multiplication(sK0(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_184642,c_57]) ).
cnf(c_184659,plain,
addition(multiplication(sK3,X0),multiplication(sK0(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_184656,c_55]) ).
cnf(c_184698,plain,
c(sK0(sK3)) = sK3,
inference(global_subsumption_just,[status(thm)],[c_184616,c_397,c_411,c_1664,c_4043,c_32655,c_53209,c_53210]) ).
cnf(c_184701,plain,
( ~ test(sK0(sK3))
| complement(sK0(sK3),sK3) ),
inference(superposition,[status(thm)],[c_184698,c_69]) ).
cnf(c_184776,plain,
complement(sK0(sK3),sK3),
inference(global_subsumption_just,[status(thm)],[c_184701,c_411]) ).
cnf(c_184780,plain,
multiplication(sK0(sK3),sK3) = zero,
inference(superposition,[status(thm)],[c_184776,c_66]) ).
cnf(c_188346,plain,
addition(multiplication(sK3,sK3),zero) = sK3,
inference(superposition,[status(thm)],[c_184780,c_184659]) ).
cnf(c_188364,plain,
addition(zero,multiplication(sK3,sK3)) = sK3,
inference(theory_normalisation,[status(thm)],[c_188346,c_50,c_49]) ).
cnf(c_188592,plain,
multiplication(sK3,sK3) = sK3,
inference(demodulation,[status(thm)],[c_188364,c_181138]) ).
cnf(c_188594,plain,
leq(sK3,multiplication(sK1,sK2)),
inference(demodulation,[status(thm)],[c_181804,c_188592]) ).
cnf(c_188601,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_188594,c_181130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 11:28:58 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.96/5.23 % SZS status Started for theBenchmark.p
% 32.96/5.23 % SZS status Theorem for theBenchmark.p
% 32.96/5.23
% 32.96/5.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.96/5.23
% 32.96/5.23 ------ iProver source info
% 32.96/5.23
% 32.96/5.23 git: date: 2023-05-31 18:12:56 +0000
% 32.96/5.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.96/5.23 git: non_committed_changes: false
% 32.96/5.23 git: last_make_outside_of_git: false
% 32.96/5.23
% 32.96/5.23 ------ Parsing...
% 32.96/5.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.96/5.23
% 32.96/5.23 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 32.96/5.23
% 32.96/5.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.96/5.23
% 32.96/5.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.96/5.23 ------ Proving...
% 32.96/5.23 ------ Problem Properties
% 32.96/5.23
% 32.96/5.23
% 32.96/5.23 clauses 28
% 32.96/5.23 conjectures 6
% 32.96/5.23 EPR 4
% 32.96/5.23 Horn 25
% 32.96/5.23 unary 14
% 32.96/5.23 binary 11
% 32.96/5.23 lits 46
% 32.96/5.23 lits eq 21
% 32.96/5.23 fd_pure 0
% 32.96/5.23 fd_pseudo 0
% 32.96/5.23 fd_cond 0
% 32.96/5.23 fd_pseudo_cond 1
% 32.96/5.23 AC symbols 1
% 32.96/5.23
% 32.96/5.23 ------ Schedule dynamic 5 is on
% 32.96/5.23
% 32.96/5.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.96/5.23
% 32.96/5.23
% 32.96/5.23 ------
% 32.96/5.23 Current options:
% 32.96/5.23 ------
% 32.96/5.23
% 32.96/5.23
% 32.96/5.23
% 32.96/5.23
% 32.96/5.23 ------ Proving...
% 32.96/5.23
% 32.96/5.23
% 32.96/5.23 % SZS status Theorem for theBenchmark.p
% 32.96/5.23
% 32.96/5.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.96/5.23
% 32.96/5.23
%------------------------------------------------------------------------------