TSTP Solution File: KLE018+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KLE018+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 : Fri May 3 02:32:38 EDT 2024
% Result : Theorem 97.12s 13.83s
% Output : CNFRefutation 97.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 20
% Syntax : Number of formulae : 329 ( 243 unt; 0 def)
% Number of atoms : 486 ( 303 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 262 ( 105 ~; 96 |; 41 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 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 : 308 ( 8 sgn 103 !; 14 ?)
% 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
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(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
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(multiplication(X3,c(X4)),X5)
=> leq(X3,addition(X4,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X3,X4,X5] :
( ( test(X5)
& test(X4)
& test(X3) )
=> ( leq(multiplication(X3,c(X4)),X5)
=> leq(X3,addition(X4,X5)) ) ),
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(multiplication(X0,c(X1)),X2)
=> leq(X0,addition(X1,X2)) ) ),
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(X0,addition(X1,X2))
& leq(multiplication(X0,c(X1)),X2)
& test(X2)
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f28,plain,
? [X0,X1,X2] :
( ~ leq(X0,addition(X1,X2))
& leq(multiplication(X0,c(X1)),X2)
& 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(X0,addition(X1,X2))
& leq(multiplication(X0,c(X1)),X2)
& test(X2)
& test(X1)
& test(X0) )
=> ( ~ leq(sK1,addition(sK2,sK3))
& leq(multiplication(sK1,c(sK2)),sK3)
& test(sK3)
& test(sK2)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ~ leq(sK1,addition(sK2,sK3))
& leq(multiplication(sK1,c(sK2)),sK3)
& test(sK3)
& test(sK2)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f28,f37]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f49,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f50,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( test(X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0,X1] :
( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f59,plain,
! [X0,X1] :
( c(X0) = X1
| ~ complement(X0,X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f60,plain,
! [X0] :
( zero = c(X0)
| test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
test(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f62,plain,
test(sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
test(sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
~ leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f38]) ).
fof(f66,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f58]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f39]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f40]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f41]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f42]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f43]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f44]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f45]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f46]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f47]) ).
cnf(c_58,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f48]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f49]) ).
cnf(c_60,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_61,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_62,plain,
( ~ complement(X0,X1)
| test(X1) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_63,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_64,plain,
( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_65,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_67,plain,
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_68,plain,
( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_69,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_70,plain,
( c(X0) = zero
| test(X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_71,negated_conjecture,
~ leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f65]) ).
cnf(c_72,negated_conjecture,
leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f64]) ).
cnf(c_73,negated_conjecture,
test(sK3),
inference(cnf_transformation,[],[f63]) ).
cnf(c_74,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f62]) ).
cnf(c_75,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f61]) ).
cnf(c_93,plain,
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
cnf(c_94,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(renaming,[status(thm)],[c_93]) ).
cnf(c_95,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_99,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(prop_impl_just,[status(thm)],[c_69]) ).
cnf(c_101,plain,
( ~ complement(X0,X1)
| test(X1) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
cnf(c_303,plain,
( addition(X0,X1) != X1
| addition(sK2,sK3) != X1
| X0 != sK1 ),
inference(resolution_lifted,[status(thm)],[c_94,c_71]) ).
cnf(c_304,plain,
addition(sK1,addition(sK2,sK3)) != addition(sK2,sK3),
inference(unflattening,[status(thm)],[c_303]) ).
cnf(c_308,plain,
( multiplication(sK1,c(sK2)) != X0
| X1 != sK3
| addition(X0,X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_95,c_72]) ).
cnf(c_309,plain,
addition(multiplication(sK1,c(sK2)),sK3) = sK3,
inference(unflattening,[status(thm)],[c_308]) ).
cnf(c_383,plain,
( X0 != sK3
| complement(X0,c(X0)) ),
inference(resolution_lifted,[status(thm)],[c_99,c_73]) ).
cnf(c_384,plain,
complement(sK3,c(sK3)),
inference(unflattening,[status(thm)],[c_383]) ).
cnf(c_575,plain,
( c(X1) != X2
| X0 != X1
| ~ test(X1)
| test(X2) ),
inference(resolution_lifted,[status(thm)],[c_101,c_99]) ).
cnf(c_576,plain,
( ~ test(X0)
| test(c(X0)) ),
inference(unflattening,[status(thm)],[c_575]) ).
cnf(c_610,plain,
addition(sK3,multiplication(sK1,c(sK2))) = sK3,
inference(theory_normalisation,[status(thm)],[c_309,c_50,c_49]) ).
cnf(c_1009,negated_conjecture,
test(sK1),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_1010,negated_conjecture,
test(sK2),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_1011,negated_conjecture,
test(sK3),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_1017,plain,
( X0 != X1
| ~ test(X1)
| test(X0) ),
theory(equality) ).
cnf(c_1258,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1264,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_1300,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_1301,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_1302,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_1301,c_50,c_49]) ).
cnf(c_1322,plain,
( ~ test(X0)
| multiplication(X0,sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
cnf(c_1323,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_69,c_67]) ).
cnf(c_1333,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_1011,c_1300]) ).
cnf(c_1335,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_1009,c_1300]) ).
cnf(c_1349,plain,
addition(sK3,addition(sK0(sK3),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1333,c_50]) ).
cnf(c_1363,plain,
multiplication(zero,multiplication(X0,X1)) = multiplication(zero,X1),
inference(superposition,[status(thm)],[c_59,c_53]) ).
cnf(c_1391,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1333,c_56]) ).
cnf(c_1406,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = X0,
inference(light_normalisation,[status(thm)],[c_1391,c_54]) ).
cnf(c_1465,plain,
addition(sK1,addition(sK0(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1335,c_50]) ).
cnf(c_1466,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1335,c_56]) ).
cnf(c_1469,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_1466,c_54]) ).
cnf(c_1478,plain,
addition(sK3,c(sK3)) = one,
inference(superposition,[status(thm)],[c_1011,c_1302]) ).
cnf(c_1479,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_1010,c_1302]) ).
cnf(c_1480,plain,
addition(sK1,c(sK1)) = one,
inference(superposition,[status(thm)],[c_1009,c_1302]) ).
cnf(c_1489,plain,
addition(sK3,addition(c(sK3),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1478,c_50]) ).
cnf(c_1491,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1478,c_57]) ).
cnf(c_1492,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1491,c_55]) ).
cnf(c_1503,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1479,c_50]) ).
cnf(c_1515,plain,
addition(sK1,addition(c(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1480,c_50]) ).
cnf(c_1517,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1480,c_57]) ).
cnf(c_1518,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1517,c_55]) ).
cnf(c_1530,plain,
addition(one,sK0(sK3)) = addition(sK3,sK0(sK3)),
inference(superposition,[status(thm)],[c_52,c_1349]) ).
cnf(c_1536,plain,
addition(one,sK0(sK3)) = one,
inference(light_normalisation,[status(thm)],[c_1530,c_1333]) ).
cnf(c_1546,plain,
( ~ complement(sK3,c(sK3))
| test(c(sK3)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1551,plain,
addition(multiplication(one,X0),multiplication(sK0(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1536,c_57]) ).
cnf(c_1552,plain,
addition(X0,multiplication(sK0(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1551,c_55]) ).
cnf(c_1761,plain,
( multiplication(X0,zero) != zero
| multiplication(zero,X0) != zero
| X0 != one
| complement(X0,zero) ),
inference(superposition,[status(thm)],[c_1264,c_64]) ).
cnf(c_1806,plain,
( X0 != one
| complement(X0,zero) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1761,c_59,c_58]) ).
cnf(c_1899,plain,
complement(one,zero),
inference(equality_resolution,[status(thm)],[c_1806]) ).
cnf(c_1933,plain,
addition(one,multiplication(sK0(sK3),sK0(sK1))) = addition(sK1,sK0(sK1)),
inference(superposition,[status(thm)],[c_1552,c_1465]) ).
cnf(c_1934,plain,
addition(one,multiplication(sK0(sK3),sK0(sK1))) = one,
inference(light_normalisation,[status(thm)],[c_1933,c_1335]) ).
cnf(c_1962,plain,
test(zero),
inference(superposition,[status(thm)],[c_1899,c_62]) ).
cnf(c_1991,plain,
addition(multiplication(one,X0),multiplication(multiplication(sK0(sK3),sK0(sK1)),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1934,c_57]) ).
cnf(c_1992,plain,
addition(X0,multiplication(multiplication(sK0(sK3),sK0(sK1)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1991,c_55]) ).
cnf(c_2055,plain,
addition(sK3,addition(X0,addition(c(sK3),X1))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_1258,c_1489]) ).
cnf(c_2061,plain,
addition(sK3,addition(X0,addition(c(sK3),X1))) = addition(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_1489,c_1258]) ).
cnf(c_2131,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_1503]) ).
cnf(c_2142,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_2131,c_1479]) ).
cnf(c_2164,plain,
addition(multiplication(X0,one),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_2142,c_56]) ).
cnf(c_2168,plain,
addition(X0,multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_2164,c_54]) ).
cnf(c_4834,plain,
multiplication(sK3,sK0(sK3)) = zero,
inference(superposition,[status(thm)],[c_1011,c_1322]) ).
cnf(c_4836,plain,
multiplication(sK1,sK0(sK1)) = zero,
inference(superposition,[status(thm)],[c_1009,c_1322]) ).
cnf(c_5143,plain,
multiplication(c(sK3),sK3) = zero,
inference(superposition,[status(thm)],[c_1011,c_1323]) ).
cnf(c_5145,plain,
multiplication(c(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_1009,c_1323]) ).
cnf(c_5284,plain,
addition(one,multiplication(c(sK1),c(sK2))) = addition(sK1,c(sK1)),
inference(superposition,[status(thm)],[c_2168,c_1515]) ).
cnf(c_5308,plain,
addition(one,multiplication(c(sK1),c(sK2))) = one,
inference(light_normalisation,[status(thm)],[c_5284,c_1480]) ).
cnf(c_5522,plain,
addition(multiplication(X0,one),multiplication(X0,multiplication(c(sK1),c(sK2)))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_5308,c_56]) ).
cnf(c_5526,plain,
addition(X0,multiplication(X0,multiplication(c(sK1),c(sK2)))) = X0,
inference(light_normalisation,[status(thm)],[c_5522,c_54]) ).
cnf(c_8538,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = c(sK3),
inference(superposition,[status(thm)],[c_5143,c_1406]) ).
cnf(c_8900,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_8929,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_8930,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_8931,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_8930,c_50,c_49]) ).
cnf(c_8950,plain,
( ~ test(X0)
| multiplication(X0,sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
cnf(c_8951,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_69,c_67]) ).
cnf(c_8961,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_1011,c_8929]) ).
cnf(c_8962,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_1010,c_8929]) ).
cnf(c_9017,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_8961,c_56]) ).
cnf(c_9031,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = X0,
inference(light_normalisation,[status(thm)],[c_9017,c_54]) ).
cnf(c_9037,plain,
addition(multiplication(X0,sK2),multiplication(X0,sK0(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_8962,c_56]) ).
cnf(c_9039,plain,
addition(multiplication(X0,sK2),multiplication(X0,sK0(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_9037,c_54]) ).
cnf(c_9259,plain,
multiplication(sK3,sK0(sK3)) = zero,
inference(superposition,[status(thm)],[c_1011,c_8950]) ).
cnf(c_9260,plain,
multiplication(sK2,sK0(sK2)) = zero,
inference(superposition,[status(thm)],[c_1010,c_8950]) ).
cnf(c_9272,plain,
multiplication(c(sK3),sK3) = zero,
inference(superposition,[status(thm)],[c_1011,c_8951]) ).
cnf(c_9273,plain,
multiplication(c(sK2),sK2) = zero,
inference(superposition,[status(thm)],[c_1010,c_8951]) ).
cnf(c_9523,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = c(sK3),
inference(superposition,[status(thm)],[c_9272,c_9031]) ).
cnf(c_9547,plain,
addition(zero,multiplication(c(sK2),sK0(sK2))) = c(sK2),
inference(superposition,[status(thm)],[c_9273,c_9039]) ).
cnf(c_11546,plain,
addition(zero,multiplication(c(sK1),sK0(sK1))) = c(sK1),
inference(superposition,[status(thm)],[c_5145,c_1469]) ).
cnf(c_11840,plain,
multiplication(c(sK3),sK0(sK3)) = c(sK3),
inference(demodulation,[status(thm)],[c_8538,c_1264]) ).
cnf(c_12095,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = sK0(sK3),
inference(superposition,[status(thm)],[c_4834,c_1492]) ).
cnf(c_12105,plain,
addition(multiplication(sK3,sK0(sK3)),c(sK3)) = sK0(sK3),
inference(superposition,[status(thm)],[c_11840,c_1492]) ).
cnf(c_12119,plain,
addition(c(sK3),multiplication(sK3,sK0(sK3))) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_12105,c_50,c_49]) ).
cnf(c_12120,plain,
addition(c(sK3),zero) = sK0(sK3),
inference(light_normalisation,[status(thm)],[c_12119,c_4834]) ).
cnf(c_12121,plain,
addition(zero,c(sK3)) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_12120,c_50,c_49]) ).
cnf(c_12122,plain,
sK0(sK3) = c(sK3),
inference(light_normalisation,[status(thm)],[c_12095,c_8538]) ).
cnf(c_12291,plain,
( ~ test(sK3)
| complement(c(sK3),sK3) ),
inference(superposition,[status(thm)],[c_12122,c_63]) ).
cnf(c_12292,plain,
complement(c(sK3),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_12291,c_1011]) ).
cnf(c_12293,plain,
( ~ test(c(sK3))
| c(c(sK3)) = sK3 ),
inference(superposition,[status(thm)],[c_12292,c_68]) ).
cnf(c_12703,plain,
addition(zero,multiplication(c(sK1),sK0(sK1))) = sK0(sK1),
inference(superposition,[status(thm)],[c_4836,c_1518]) ).
cnf(c_12726,plain,
sK0(sK1) = c(sK1),
inference(light_normalisation,[status(thm)],[c_12703,c_11546]) ).
cnf(c_14110,plain,
multiplication(c(sK3),sK0(sK3)) = c(sK3),
inference(demodulation,[status(thm)],[c_9523,c_8900]) ).
cnf(c_14185,plain,
multiplication(c(sK2),sK0(sK2)) = c(sK2),
inference(demodulation,[status(thm)],[c_9547,c_8900]) ).
cnf(c_18953,plain,
addition(X0,multiplication(multiplication(addition(zero,c(sK3)),c(sK1)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1992,c_12121,c_12726]) ).
cnf(c_18954,plain,
addition(X0,multiplication(c(sK3),multiplication(c(sK1),X0))) = X0,
inference(demodulation,[status(thm)],[c_18953,c_53,c_57,c_59,c_1264,c_1363]) ).
cnf(c_18979,plain,
addition(one,multiplication(c(sK3),multiplication(c(sK1),c(sK2)))) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_18954,c_1503]) ).
cnf(c_18991,plain,
addition(one,multiplication(c(sK3),multiplication(c(sK1),c(sK2)))) = one,
inference(light_normalisation,[status(thm)],[c_18979,c_1479]) ).
cnf(c_19116,plain,
addition(one,addition(X0,multiplication(c(sK3),multiplication(c(sK1),c(sK2))))) = addition(X0,one),
inference(superposition,[status(thm)],[c_18991,c_1258]) ).
cnf(c_24977,plain,
addition(sK3,c(sK3)) = one,
inference(superposition,[status(thm)],[c_1011,c_8931]) ).
cnf(c_24978,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_1010,c_8931]) ).
cnf(c_25063,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_24977,c_57]) ).
cnf(c_25067,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_25063,c_55]) ).
cnf(c_25132,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_24978,c_57]) ).
cnf(c_25134,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_25132,c_55]) ).
cnf(c_25187,plain,
addition(multiplication(sK3,sK0(sK3)),c(sK3)) = sK0(sK3),
inference(superposition,[status(thm)],[c_14110,c_25067]) ).
cnf(c_25199,plain,
addition(c(sK3),multiplication(sK3,sK0(sK3))) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_25187,c_50,c_49]) ).
cnf(c_25200,plain,
addition(c(sK3),zero) = sK0(sK3),
inference(light_normalisation,[status(thm)],[c_25199,c_9259]) ).
cnf(c_25201,plain,
addition(zero,c(sK3)) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_25200,c_50,c_49]) ).
cnf(c_25706,plain,
addition(multiplication(sK2,sK0(sK2)),c(sK2)) = sK0(sK2),
inference(superposition,[status(thm)],[c_14185,c_25134]) ).
cnf(c_25718,plain,
addition(c(sK2),multiplication(sK2,sK0(sK2))) = sK0(sK2),
inference(theory_normalisation,[status(thm)],[c_25706,c_50,c_49]) ).
cnf(c_25719,plain,
addition(c(sK2),zero) = sK0(sK2),
inference(light_normalisation,[status(thm)],[c_25718,c_9260]) ).
cnf(c_25720,plain,
addition(zero,c(sK2)) = sK0(sK2),
inference(theory_normalisation,[status(thm)],[c_25719,c_50,c_49]) ).
cnf(c_26015,plain,
addition(sK3,addition(X0,c(sK3))) = addition(X0,addition(one,zero)),
inference(superposition,[status(thm)],[c_51,c_2061]) ).
cnf(c_26115,plain,
addition(sK3,addition(X0,c(sK3))) = addition(X0,addition(zero,one)),
inference(theory_normalisation,[status(thm)],[c_26015,c_50,c_49]) ).
cnf(c_32808,plain,
addition(one,addition(X0,multiplication(c(sK3),multiplication(c(sK1),c(sK2))))) = addition(sK3,addition(X0,c(sK3))),
inference(superposition,[status(thm)],[c_5526,c_2055]) ).
cnf(c_32851,plain,
addition(X0,addition(zero,one)) = addition(X0,one),
inference(light_normalisation,[status(thm)],[c_32808,c_19116,c_26115]) ).
cnf(c_143558,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_143562,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_143566,plain,
sK0(sK2) = c(sK2),
inference(demodulation,[status(thm)],[c_25720,c_143562]) ).
cnf(c_143581,plain,
( ~ test(sK2)
| complement(c(sK2),sK2) ),
inference(superposition,[status(thm)],[c_143566,c_63]) ).
cnf(c_143583,plain,
complement(c(sK2),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_143581,c_1010]) ).
cnf(c_143605,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_143617,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_143583,c_65]) ).
cnf(c_143655,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_143617,c_50]) ).
cnf(c_143668,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_143655]) ).
cnf(c_143672,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_143668,c_143617]) ).
cnf(c_144216,plain,
addition(sK2,addition(one,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_143655,c_143605]) ).
cnf(c_144249,plain,
addition(one,addition(X0,sK2)) = addition(one,X0),
inference(theory_normalisation,[status(thm)],[c_144216,c_50,c_49]) ).
cnf(c_144284,plain,
addition(one,zero) = addition(one,sK2),
inference(superposition,[status(thm)],[c_143562,c_144249]) ).
cnf(c_144293,plain,
addition(zero,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_144284,c_50,c_49]) ).
cnf(c_153242,plain,
addition(one,addition(X0,c(sK2))) = addition(X0,one),
inference(superposition,[status(thm)],[c_143672,c_143558]) ).
cnf(c_153783,plain,
addition(one,one) = addition(sK2,one),
inference(superposition,[status(thm)],[c_143617,c_153242]) ).
cnf(c_153819,plain,
addition(one,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_153783,c_50,c_49]) ).
cnf(c_153820,plain,
addition(zero,one) = addition(one,one),
inference(light_normalisation,[status(thm)],[c_153819,c_144293]) ).
cnf(c_212392,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_212396,plain,
sK0(sK2) = c(sK2),
inference(demodulation,[status(thm)],[c_25720,c_212392]) ).
cnf(c_212397,plain,
sK0(sK3) = c(sK3),
inference(demodulation,[status(thm)],[c_25201,c_212392]) ).
cnf(c_212406,plain,
addition(sK3,addition(X0,c(sK3))) = addition(X0,one),
inference(light_normalisation,[status(thm)],[c_26115,c_32851]) ).
cnf(c_212407,plain,
addition(sK3,addition(c(sK3),X0)) = addition(X0,one),
inference(superposition,[status(thm)],[c_49,c_212406]) ).
cnf(c_212410,plain,
addition(sK3,c(sK3)) = addition(zero,one),
inference(superposition,[status(thm)],[c_212392,c_212406]) ).
cnf(c_212412,plain,
addition(sK3,c(sK3)) = one,
inference(demodulation,[status(thm)],[c_212410,c_212392]) ).
cnf(c_212416,plain,
addition(c(sK3),one) = addition(sK3,c(sK3)),
inference(superposition,[status(thm)],[c_52,c_212407]) ).
cnf(c_212417,plain,
addition(one,c(sK3)) = addition(sK3,c(sK3)),
inference(theory_normalisation,[status(thm)],[c_212416,c_50,c_49]) ).
cnf(c_212418,plain,
addition(one,c(sK3)) = one,
inference(light_normalisation,[status(thm)],[c_212417,c_212412]) ).
cnf(c_212423,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_212425,plain,
addition(sK3,addition(multiplication(sK1,c(sK2)),X0)) = addition(sK3,X0),
inference(superposition,[status(thm)],[c_610,c_50]) ).
cnf(c_212440,plain,
( ~ test(sK3)
| complement(c(sK3),sK3) ),
inference(superposition,[status(thm)],[c_212397,c_63]) ).
cnf(c_212441,plain,
( ~ test(sK2)
| complement(c(sK2),sK2) ),
inference(superposition,[status(thm)],[c_212396,c_63]) ).
cnf(c_212443,plain,
complement(c(sK2),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_212441,c_1010]) ).
cnf(c_212444,plain,
complement(c(sK3),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_212440,c_1011]) ).
cnf(c_212449,plain,
( ~ test(X0)
| test(c(X0)) ),
inference(superposition,[status(thm)],[c_69,c_62]) ).
cnf(c_212460,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_212461,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_212462,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_212461,c_50,c_49]) ).
cnf(c_212467,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_212443,c_65]) ).
cnf(c_212475,plain,
addition(one,addition(c(sK3),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_212418,c_50]) ).
cnf(c_212476,plain,
addition(one,one) = addition(sK3,one),
inference(superposition,[status(thm)],[c_212418,c_212406]) ).
cnf(c_212477,plain,
addition(one,one) = addition(one,sK3),
inference(theory_normalisation,[status(thm)],[c_212476,c_50,c_49]) ).
cnf(c_212478,plain,
addition(zero,one) = addition(one,sK3),
inference(light_normalisation,[status(thm)],[c_212477,c_153820]) ).
cnf(c_212479,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_212467,c_50]) ).
cnf(c_212480,plain,
addition(sK2,addition(X0,c(sK2))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_212479]) ).
cnf(c_212483,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_212479]) ).
cnf(c_212487,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_212483,c_212467]) ).
cnf(c_212491,plain,
addition(sK3,addition(X0,multiplication(sK1,c(sK2)))) = addition(sK3,X0),
inference(superposition,[status(thm)],[c_49,c_212425]) ).
cnf(c_212510,plain,
addition(one,one) = addition(sK2,one),
inference(superposition,[status(thm)],[c_212487,c_212480]) ).
cnf(c_212512,plain,
addition(one,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_212510,c_50,c_49]) ).
cnf(c_212513,plain,
addition(zero,one) = addition(one,sK2),
inference(light_normalisation,[status(thm)],[c_212512,c_153820]) ).
cnf(c_212579,plain,
multiplication(sK3,c(sK3)) = zero,
inference(superposition,[status(thm)],[c_212444,c_67]) ).
cnf(c_212599,plain,
( ~ test(c(sK3))
| c(c(sK3)) = sK3 ),
inference(superposition,[status(thm)],[c_212444,c_68]) ).
cnf(c_212612,plain,
addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_212614,plain,
addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(zero,X1)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_212621,plain,
addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_212626,plain,
addition(sK3,multiplication(sK1,addition(X0,c(sK2)))) = addition(sK3,multiplication(sK1,X0)),
inference(superposition,[status(thm)],[c_56,c_212491]) ).
cnf(c_212678,plain,
multiplication(sK3,addition(c(sK3),X0)) = addition(zero,multiplication(sK3,X0)),
inference(superposition,[status(thm)],[c_212579,c_56]) ).
cnf(c_212699,plain,
c(c(sK3)) = sK3,
inference(global_subsumption_just,[status(thm)],[c_212599,c_384,c_1546,c_12293]) ).
cnf(c_212707,plain,
multiplication(sK3,addition(c(sK3),X0)) = multiplication(sK3,X0),
inference(demodulation,[status(thm)],[c_212678,c_212392,c_212614]) ).
cnf(c_212708,plain,
multiplication(sK3,addition(X0,c(sK3))) = multiplication(sK3,X0),
inference(superposition,[status(thm)],[c_49,c_212707]) ).
cnf(c_212834,plain,
addition(X0,multiplication(X1,X0)) = multiplication(addition(one,X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_212856,plain,
addition(multiplication(X0,addition(c(sK3),X1)),multiplication(sK3,X1)) = multiplication(addition(X0,sK3),addition(c(sK3),X1)),
inference(superposition,[status(thm)],[c_212707,c_57]) ).
cnf(c_212889,plain,
addition(multiplication(sK3,X0),multiplication(X1,addition(c(sK3),X0))) = multiplication(addition(X1,sK3),addition(c(sK3),X0)),
inference(theory_normalisation,[status(thm)],[c_212856,c_50,c_49]) ).
cnf(c_213507,plain,
addition(one,sK3) = one,
inference(demodulation,[status(thm)],[c_212478,c_212392]) ).
cnf(c_213527,plain,
addition(one,sK2) = one,
inference(demodulation,[status(thm)],[c_212513,c_212392]) ).
cnf(c_213822,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_1009,c_212460]) ).
cnf(c_213844,plain,
addition(sK1,one) = one,
inference(superposition,[status(thm)],[c_213822,c_212423]) ).
cnf(c_213849,plain,
addition(one,sK1) = one,
inference(theory_normalisation,[status(thm)],[c_213844,c_50,c_49]) ).
cnf(c_213897,plain,
( ~ test(X0)
| addition(c(X0),c(c(X0))) = one ),
inference(superposition,[status(thm)],[c_212449,c_212462]) ).
cnf(c_214156,plain,
( ~ test(zero)
| test(c(X0))
| test(X0) ),
inference(resolution,[status(thm)],[c_1017,c_70]) ).
cnf(c_217769,plain,
addition(one,addition(X0,c(sK3))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_212475]) ).
cnf(c_218416,plain,
multiplication(sK3,one) = multiplication(sK3,sK3),
inference(superposition,[status(thm)],[c_212412,c_212708]) ).
cnf(c_218438,plain,
multiplication(sK3,sK3) = sK3,
inference(demodulation,[status(thm)],[c_218416,c_54]) ).
cnf(c_218440,plain,
addition(sK3,multiplication(sK3,X0)) = multiplication(sK3,addition(sK3,X0)),
inference(superposition,[status(thm)],[c_218438,c_56]) ).
cnf(c_221127,plain,
multiplication(sK3,addition(one,addition(X0,c(sK3)))) = addition(sK3,multiplication(sK3,X0)),
inference(superposition,[status(thm)],[c_212708,c_212612]) ).
cnf(c_221208,plain,
addition(sK3,multiplication(sK1,addition(one,c(sK2)))) = addition(sK3,sK1),
inference(superposition,[status(thm)],[c_212612,c_212491]) ).
cnf(c_221238,plain,
addition(sK3,multiplication(sK1,addition(one,c(sK2)))) = addition(sK1,sK3),
inference(theory_normalisation,[status(thm)],[c_221208,c_50,c_49]) ).
cnf(c_221239,plain,
addition(sK3,multiplication(sK1,one)) = addition(sK1,sK3),
inference(light_normalisation,[status(thm)],[c_221238,c_212487]) ).
cnf(c_221263,plain,
multiplication(sK3,addition(one,X0)) = multiplication(sK3,addition(sK3,X0)),
inference(light_normalisation,[status(thm)],[c_221127,c_217769,c_218440]) ).
cnf(c_222311,plain,
test(c(X0)),
inference(global_subsumption_just,[status(thm)],[c_214156,c_576,c_1962,c_214156]) ).
cnf(c_224555,plain,
( ~ test(X0)
| test(c(X0)) ),
inference(superposition,[status(thm)],[c_69,c_62]) ).
cnf(c_224591,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_224594,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_224591,c_50,c_49]) ).
cnf(c_225000,plain,
test(c(X0)),
inference(global_subsumption_just,[status(thm)],[c_224555,c_222311]) ).
cnf(c_225946,plain,
addition(multiplication(sK3,addition(sK3,X0)),X1) = addition(sK3,addition(multiplication(sK3,X0),X1)),
inference(superposition,[status(thm)],[c_218438,c_212621]) ).
cnf(c_226105,plain,
addition(multiplication(sK3,addition(one,X0)),X1) = addition(sK3,addition(multiplication(sK3,X0),X1)),
inference(light_normalisation,[status(thm)],[c_225946,c_221263]) ).
cnf(c_229080,plain,
addition(sK3,multiplication(sK1,one)) = addition(sK3,multiplication(sK1,sK2)),
inference(superposition,[status(thm)],[c_212467,c_212626]) ).
cnf(c_229090,plain,
addition(sK3,multiplication(sK1,sK2)) = addition(sK1,sK3),
inference(light_normalisation,[status(thm)],[c_229080,c_221239]) ).
cnf(c_230228,plain,
addition(c(X0),c(c(X0))) = one,
inference(superposition,[status(thm)],[c_225000,c_224594]) ).
cnf(c_230610,plain,
addition(sK3,addition(multiplication(sK1,sK2),X0)) = addition(addition(sK1,sK3),X0),
inference(superposition,[status(thm)],[c_229090,c_50]) ).
cnf(c_230622,plain,
addition(sK3,addition(multiplication(sK1,sK2),X0)) = addition(sK1,addition(sK3,X0)),
inference(theory_normalisation,[status(thm)],[c_230610,c_50,c_49]) ).
cnf(c_253325,plain,
addition(c(X0),c(c(X0))) = one,
inference(global_subsumption_just,[status(thm)],[c_213897,c_230228]) ).
cnf(c_253346,plain,
addition(c(X0),addition(c(c(X0)),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_253325,c_50]) ).
cnf(c_273243,plain,
addition(multiplication(sK3,c(c(sK3))),multiplication(X0,one)) = multiplication(addition(X0,sK3),one),
inference(superposition,[status(thm)],[c_253325,c_212889]) ).
cnf(c_273255,plain,
addition(multiplication(sK3,addition(c(c(sK3)),X0)),multiplication(X1,addition(one,X0))) = multiplication(addition(X1,sK3),addition(one,X0)),
inference(superposition,[status(thm)],[c_253346,c_212889]) ).
cnf(c_273277,plain,
multiplication(addition(X0,sK3),one) = addition(sK3,X0),
inference(light_normalisation,[status(thm)],[c_273243,c_54,c_218438,c_212699]) ).
cnf(c_273326,plain,
addition(multiplication(sK3,addition(one,X0)),multiplication(X1,addition(one,X0))) = multiplication(addition(X1,sK3),addition(one,X0)),
inference(light_normalisation,[status(thm)],[c_273255,c_212699,c_221263]) ).
cnf(c_273428,plain,
addition(sK3,addition(X0,multiplication(sK1,sK2))) = addition(sK1,addition(sK3,X0)),
inference(superposition,[status(thm)],[c_49,c_230622]) ).
cnf(c_274711,plain,
addition(sK3,addition(multiplication(sK3,X0),multiplication(X1,addition(one,X0)))) = multiplication(addition(X1,sK3),addition(one,X0)),
inference(demodulation,[status(thm)],[c_273326,c_226105]) ).
cnf(c_274774,plain,
addition(sK3,addition(multiplication(sK3,sK2),multiplication(X0,one))) = multiplication(addition(X0,sK3),one),
inference(superposition,[status(thm)],[c_213527,c_274711]) ).
cnf(c_274849,plain,
addition(sK3,addition(multiplication(sK3,sK2),X0)) = addition(sK3,X0),
inference(light_normalisation,[status(thm)],[c_274774,c_54,c_273277]) ).
cnf(c_280743,plain,
addition(sK3,addition(X0,multiplication(sK3,sK2))) = addition(sK3,X0),
inference(superposition,[status(thm)],[c_49,c_274849]) ).
cnf(c_281898,plain,
addition(sK3,multiplication(addition(one,sK3),sK2)) = addition(sK3,sK2),
inference(superposition,[status(thm)],[c_212834,c_280743]) ).
cnf(c_281942,plain,
addition(sK3,multiplication(addition(one,sK3),sK2)) = addition(sK2,sK3),
inference(theory_normalisation,[status(thm)],[c_281898,c_50,c_49]) ).
cnf(c_281943,plain,
addition(sK3,multiplication(one,sK2)) = addition(sK2,sK3),
inference(light_normalisation,[status(thm)],[c_281942,c_213507]) ).
cnf(c_287612,plain,
addition(sK3,multiplication(addition(one,sK1),sK2)) = addition(sK1,addition(sK3,sK2)),
inference(superposition,[status(thm)],[c_212834,c_273428]) ).
cnf(c_287667,plain,
addition(sK3,multiplication(addition(one,sK1),sK2)) = addition(sK1,addition(sK2,sK3)),
inference(theory_normalisation,[status(thm)],[c_287612,c_50,c_49]) ).
cnf(c_287668,plain,
addition(sK1,addition(sK2,sK3)) = addition(sK2,sK3),
inference(light_normalisation,[status(thm)],[c_287667,c_213849,c_281943]) ).
cnf(c_287669,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_287668,c_304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % 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 : Fri May 3 00:36:31 EDT 2024
% 0.13/0.34 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 97.12/13.83 % SZS status Started for theBenchmark.p
% 97.12/13.83 % SZS status Theorem for theBenchmark.p
% 97.12/13.83
% 97.12/13.83 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 97.12/13.83
% 97.12/13.83 ------ iProver source info
% 97.12/13.83
% 97.12/13.83 git: date: 2024-05-02 19:28:25 +0000
% 97.12/13.83 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 97.12/13.83 git: non_committed_changes: false
% 97.12/13.83
% 97.12/13.83 ------ Parsing...
% 97.12/13.83 ------ Clausification by vclausify_rel & Parsing by iProver...
% 97.12/13.83
% 97.12/13.83 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 97.12/13.83
% 97.12/13.83 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 97.12/13.83
% 97.12/13.83 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 97.12/13.83 ------ Proving...
% 97.12/13.83 ------ Problem Properties
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83 clauses 26
% 97.12/13.83 conjectures 3
% 97.12/13.83 EPR 4
% 97.12/13.83 Horn 25
% 97.12/13.83 unary 16
% 97.12/13.83 binary 8
% 97.12/13.83 lits 39
% 97.12/13.83 lits eq 23
% 97.12/13.83 fd_pure 0
% 97.12/13.83 fd_pseudo 0
% 97.12/13.83 fd_cond 0
% 97.12/13.83 fd_pseudo_cond 1
% 97.12/13.83 AC symbols 1
% 97.12/13.83
% 97.12/13.83 ------ Schedule dynamic 5 is on
% 97.12/13.83
% 97.12/13.83 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83 ------
% 97.12/13.83 Current options:
% 97.12/13.83 ------
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83 ------ Proving...
% 97.12/13.83 Proof_search_loop: time out after: 7351 full_loop iterations
% 97.12/13.83
% 97.12/13.83 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83 ------
% 97.12/13.83 Current options:
% 97.12/13.83 ------
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83 ------ Proving...
% 97.12/13.83
% 97.12/13.83
% 97.12/13.83 % SZS status Theorem for theBenchmark.p
% 97.12/13.83
% 97.12/13.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 97.12/13.83
% 97.12/13.84
%------------------------------------------------------------------------------