TSTP Solution File: KLE018+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 108.76s 15.28s
% Output : CNFRefutation 108.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 20
% Syntax : Number of formulae : 326 ( 240 unt; 0 def)
% Number of atoms : 483 ( 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_1014,plain,
( X0 != X1
| ~ test(X1)
| test(X0) ),
theory(equality) ).
cnf(c_1255,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1261,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_1297,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_1298,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_1299,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_1298,c_50,c_49]) ).
cnf(c_1319,plain,
( ~ test(X0)
| multiplication(X0,sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
cnf(c_1320,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_69,c_67]) ).
cnf(c_1330,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_73,c_1297]) ).
cnf(c_1332,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_75,c_1297]) ).
cnf(c_1346,plain,
addition(sK3,addition(sK0(sK3),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1330,c_50]) ).
cnf(c_1360,plain,
multiplication(zero,multiplication(X0,X1)) = multiplication(zero,X1),
inference(superposition,[status(thm)],[c_59,c_53]) ).
cnf(c_1388,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1330,c_56]) ).
cnf(c_1403,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = X0,
inference(light_normalisation,[status(thm)],[c_1388,c_54]) ).
cnf(c_1462,plain,
addition(sK1,addition(sK0(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1332,c_50]) ).
cnf(c_1463,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1332,c_56]) ).
cnf(c_1466,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_1463,c_54]) ).
cnf(c_1475,plain,
addition(sK3,c(sK3)) = one,
inference(superposition,[status(thm)],[c_73,c_1299]) ).
cnf(c_1476,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_74,c_1299]) ).
cnf(c_1477,plain,
addition(sK1,c(sK1)) = one,
inference(superposition,[status(thm)],[c_75,c_1299]) ).
cnf(c_1486,plain,
addition(sK3,addition(c(sK3),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1475,c_50]) ).
cnf(c_1488,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1475,c_57]) ).
cnf(c_1489,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1488,c_55]) ).
cnf(c_1500,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1476,c_50]) ).
cnf(c_1512,plain,
addition(sK1,addition(c(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1477,c_50]) ).
cnf(c_1514,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1477,c_57]) ).
cnf(c_1515,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1514,c_55]) ).
cnf(c_1527,plain,
addition(one,sK0(sK3)) = addition(sK3,sK0(sK3)),
inference(superposition,[status(thm)],[c_52,c_1346]) ).
cnf(c_1533,plain,
addition(one,sK0(sK3)) = one,
inference(light_normalisation,[status(thm)],[c_1527,c_1330]) ).
cnf(c_1543,plain,
( ~ complement(sK3,c(sK3))
| test(c(sK3)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1548,plain,
addition(multiplication(one,X0),multiplication(sK0(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1533,c_57]) ).
cnf(c_1549,plain,
addition(X0,multiplication(sK0(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1548,c_55]) ).
cnf(c_1758,plain,
( multiplication(X0,zero) != zero
| multiplication(zero,X0) != zero
| X0 != one
| complement(X0,zero) ),
inference(superposition,[status(thm)],[c_1261,c_64]) ).
cnf(c_1803,plain,
( X0 != one
| complement(X0,zero) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1758,c_59,c_58]) ).
cnf(c_1896,plain,
complement(one,zero),
inference(equality_resolution,[status(thm)],[c_1803]) ).
cnf(c_1930,plain,
addition(one,multiplication(sK0(sK3),sK0(sK1))) = addition(sK1,sK0(sK1)),
inference(superposition,[status(thm)],[c_1549,c_1462]) ).
cnf(c_1931,plain,
addition(one,multiplication(sK0(sK3),sK0(sK1))) = one,
inference(light_normalisation,[status(thm)],[c_1930,c_1332]) ).
cnf(c_1959,plain,
test(zero),
inference(superposition,[status(thm)],[c_1896,c_62]) ).
cnf(c_1988,plain,
addition(multiplication(one,X0),multiplication(multiplication(sK0(sK3),sK0(sK1)),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1931,c_57]) ).
cnf(c_1989,plain,
addition(X0,multiplication(multiplication(sK0(sK3),sK0(sK1)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1988,c_55]) ).
cnf(c_2052,plain,
addition(sK3,addition(X0,addition(c(sK3),X1))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_1255,c_1486]) ).
cnf(c_2058,plain,
addition(sK3,addition(X0,addition(c(sK3),X1))) = addition(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_1486,c_1255]) ).
cnf(c_2128,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_1500]) ).
cnf(c_2139,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_2128,c_1476]) ).
cnf(c_2161,plain,
addition(multiplication(X0,one),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_2139,c_56]) ).
cnf(c_2165,plain,
addition(X0,multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_2161,c_54]) ).
cnf(c_4831,plain,
multiplication(sK3,sK0(sK3)) = zero,
inference(superposition,[status(thm)],[c_73,c_1319]) ).
cnf(c_4833,plain,
multiplication(sK1,sK0(sK1)) = zero,
inference(superposition,[status(thm)],[c_75,c_1319]) ).
cnf(c_5140,plain,
multiplication(c(sK3),sK3) = zero,
inference(superposition,[status(thm)],[c_73,c_1320]) ).
cnf(c_5142,plain,
multiplication(c(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_75,c_1320]) ).
cnf(c_5281,plain,
addition(one,multiplication(c(sK1),c(sK2))) = addition(sK1,c(sK1)),
inference(superposition,[status(thm)],[c_2165,c_1512]) ).
cnf(c_5305,plain,
addition(one,multiplication(c(sK1),c(sK2))) = one,
inference(light_normalisation,[status(thm)],[c_5281,c_1477]) ).
cnf(c_5519,plain,
addition(multiplication(X0,one),multiplication(X0,multiplication(c(sK1),c(sK2)))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_5305,c_56]) ).
cnf(c_5523,plain,
addition(X0,multiplication(X0,multiplication(c(sK1),c(sK2)))) = X0,
inference(light_normalisation,[status(thm)],[c_5519,c_54]) ).
cnf(c_8535,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = c(sK3),
inference(superposition,[status(thm)],[c_5140,c_1403]) ).
cnf(c_8897,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_8926,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_8927,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_8928,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_8927,c_50,c_49]) ).
cnf(c_8947,plain,
( ~ test(X0)
| multiplication(X0,sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
cnf(c_8948,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_69,c_67]) ).
cnf(c_8958,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_73,c_8926]) ).
cnf(c_8959,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_74,c_8926]) ).
cnf(c_9014,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_8958,c_56]) ).
cnf(c_9028,plain,
addition(multiplication(X0,sK3),multiplication(X0,sK0(sK3))) = X0,
inference(light_normalisation,[status(thm)],[c_9014,c_54]) ).
cnf(c_9034,plain,
addition(multiplication(X0,sK2),multiplication(X0,sK0(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_8959,c_56]) ).
cnf(c_9036,plain,
addition(multiplication(X0,sK2),multiplication(X0,sK0(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_9034,c_54]) ).
cnf(c_9256,plain,
multiplication(sK3,sK0(sK3)) = zero,
inference(superposition,[status(thm)],[c_73,c_8947]) ).
cnf(c_9257,plain,
multiplication(sK2,sK0(sK2)) = zero,
inference(superposition,[status(thm)],[c_74,c_8947]) ).
cnf(c_9269,plain,
multiplication(c(sK3),sK3) = zero,
inference(superposition,[status(thm)],[c_73,c_8948]) ).
cnf(c_9270,plain,
multiplication(c(sK2),sK2) = zero,
inference(superposition,[status(thm)],[c_74,c_8948]) ).
cnf(c_9520,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = c(sK3),
inference(superposition,[status(thm)],[c_9269,c_9028]) ).
cnf(c_9544,plain,
addition(zero,multiplication(c(sK2),sK0(sK2))) = c(sK2),
inference(superposition,[status(thm)],[c_9270,c_9036]) ).
cnf(c_12118,plain,
addition(zero,multiplication(c(sK1),sK0(sK1))) = c(sK1),
inference(superposition,[status(thm)],[c_5142,c_1466]) ).
cnf(c_12352,plain,
multiplication(c(sK3),sK0(sK3)) = c(sK3),
inference(demodulation,[status(thm)],[c_8535,c_1261]) ).
cnf(c_12486,plain,
addition(zero,multiplication(c(sK3),sK0(sK3))) = sK0(sK3),
inference(superposition,[status(thm)],[c_4831,c_1489]) ).
cnf(c_12496,plain,
addition(multiplication(sK3,sK0(sK3)),c(sK3)) = sK0(sK3),
inference(superposition,[status(thm)],[c_12352,c_1489]) ).
cnf(c_12510,plain,
addition(c(sK3),multiplication(sK3,sK0(sK3))) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_12496,c_50,c_49]) ).
cnf(c_12511,plain,
addition(c(sK3),zero) = sK0(sK3),
inference(light_normalisation,[status(thm)],[c_12510,c_4831]) ).
cnf(c_12512,plain,
addition(zero,c(sK3)) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_12511,c_50,c_49]) ).
cnf(c_12513,plain,
sK0(sK3) = c(sK3),
inference(light_normalisation,[status(thm)],[c_12486,c_8535]) ).
cnf(c_12601,plain,
multiplication(c(sK3),sK0(sK3)) = c(sK3),
inference(demodulation,[status(thm)],[c_9520,c_8897]) ).
cnf(c_12664,plain,
multiplication(c(sK2),sK0(sK2)) = c(sK2),
inference(demodulation,[status(thm)],[c_9544,c_8897]) ).
cnf(c_12671,plain,
( ~ test(sK3)
| complement(c(sK3),sK3) ),
inference(superposition,[status(thm)],[c_12513,c_63]) ).
cnf(c_12672,plain,
complement(c(sK3),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_12671,c_73]) ).
cnf(c_12678,plain,
( ~ test(c(sK3))
| c(c(sK3)) = sK3 ),
inference(superposition,[status(thm)],[c_12672,c_68]) ).
cnf(c_13278,plain,
addition(zero,multiplication(c(sK1),sK0(sK1))) = sK0(sK1),
inference(superposition,[status(thm)],[c_4833,c_1515]) ).
cnf(c_13301,plain,
sK0(sK1) = c(sK1),
inference(light_normalisation,[status(thm)],[c_13278,c_12118]) ).
cnf(c_19665,plain,
addition(X0,multiplication(multiplication(addition(zero,c(sK3)),c(sK1)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1989,c_12512,c_13301]) ).
cnf(c_19666,plain,
addition(X0,multiplication(c(sK3),multiplication(c(sK1),X0))) = X0,
inference(demodulation,[status(thm)],[c_19665,c_53,c_57,c_59,c_1261,c_1360]) ).
cnf(c_19691,plain,
addition(one,multiplication(c(sK3),multiplication(c(sK1),c(sK2)))) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_19666,c_1500]) ).
cnf(c_19703,plain,
addition(one,multiplication(c(sK3),multiplication(c(sK1),c(sK2)))) = one,
inference(light_normalisation,[status(thm)],[c_19691,c_1476]) ).
cnf(c_19868,plain,
addition(one,addition(X0,multiplication(c(sK3),multiplication(c(sK1),c(sK2))))) = addition(X0,one),
inference(superposition,[status(thm)],[c_19703,c_1255]) ).
cnf(c_22891,plain,
addition(sK3,c(sK3)) = one,
inference(superposition,[status(thm)],[c_73,c_8928]) ).
cnf(c_22892,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_74,c_8928]) ).
cnf(c_22903,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_22891,c_57]) ).
cnf(c_22907,plain,
addition(multiplication(sK3,X0),multiplication(c(sK3),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_22903,c_55]) ).
cnf(c_22955,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_22892,c_57]) ).
cnf(c_22957,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_22955,c_55]) ).
cnf(c_23459,plain,
addition(multiplication(sK3,sK0(sK3)),c(sK3)) = sK0(sK3),
inference(superposition,[status(thm)],[c_12601,c_22907]) ).
cnf(c_23471,plain,
addition(c(sK3),multiplication(sK3,sK0(sK3))) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_23459,c_50,c_49]) ).
cnf(c_23472,plain,
addition(c(sK3),zero) = sK0(sK3),
inference(light_normalisation,[status(thm)],[c_23471,c_9256]) ).
cnf(c_23473,plain,
addition(zero,c(sK3)) = sK0(sK3),
inference(theory_normalisation,[status(thm)],[c_23472,c_50,c_49]) ).
cnf(c_23722,plain,
addition(multiplication(sK2,sK0(sK2)),c(sK2)) = sK0(sK2),
inference(superposition,[status(thm)],[c_12664,c_22957]) ).
cnf(c_23734,plain,
addition(c(sK2),multiplication(sK2,sK0(sK2))) = sK0(sK2),
inference(theory_normalisation,[status(thm)],[c_23722,c_50,c_49]) ).
cnf(c_23735,plain,
addition(c(sK2),zero) = sK0(sK2),
inference(light_normalisation,[status(thm)],[c_23734,c_9257]) ).
cnf(c_23736,plain,
addition(zero,c(sK2)) = sK0(sK2),
inference(theory_normalisation,[status(thm)],[c_23735,c_50,c_49]) ).
cnf(c_27740,plain,
addition(sK3,addition(X0,c(sK3))) = addition(X0,addition(one,zero)),
inference(superposition,[status(thm)],[c_51,c_2058]) ).
cnf(c_27840,plain,
addition(sK3,addition(X0,c(sK3))) = addition(X0,addition(zero,one)),
inference(theory_normalisation,[status(thm)],[c_27740,c_50,c_49]) ).
cnf(c_35018,plain,
addition(one,addition(X0,multiplication(c(sK3),multiplication(c(sK1),c(sK2))))) = addition(sK3,addition(X0,c(sK3))),
inference(superposition,[status(thm)],[c_5523,c_2052]) ).
cnf(c_35061,plain,
addition(X0,addition(zero,one)) = addition(X0,one),
inference(light_normalisation,[status(thm)],[c_35018,c_19868,c_27840]) ).
cnf(c_138596,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_138625,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_138629,plain,
sK0(sK2) = c(sK2),
inference(demodulation,[status(thm)],[c_23736,c_138625]) ).
cnf(c_138644,plain,
( ~ test(sK2)
| complement(c(sK2),sK2) ),
inference(superposition,[status(thm)],[c_138629,c_63]) ).
cnf(c_138646,plain,
complement(c(sK2),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_138644,c_74]) ).
cnf(c_138668,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_138680,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_138646,c_65]) ).
cnf(c_138718,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_138680,c_50]) ).
cnf(c_138731,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_138718]) ).
cnf(c_138735,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_138731,c_138680]) ).
cnf(c_139293,plain,
addition(sK2,addition(one,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_138718,c_138668]) ).
cnf(c_139326,plain,
addition(one,addition(X0,sK2)) = addition(one,X0),
inference(theory_normalisation,[status(thm)],[c_139293,c_50,c_49]) ).
cnf(c_139361,plain,
addition(one,zero) = addition(one,sK2),
inference(superposition,[status(thm)],[c_138625,c_139326]) ).
cnf(c_139370,plain,
addition(zero,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_139361,c_50,c_49]) ).
cnf(c_148347,plain,
addition(one,addition(X0,c(sK2))) = addition(X0,one),
inference(superposition,[status(thm)],[c_138735,c_138596]) ).
cnf(c_148890,plain,
addition(one,one) = addition(sK2,one),
inference(superposition,[status(thm)],[c_138680,c_148347]) ).
cnf(c_148926,plain,
addition(one,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_148890,c_50,c_49]) ).
cnf(c_148927,plain,
addition(zero,one) = addition(one,one),
inference(light_normalisation,[status(thm)],[c_148926,c_139370]) ).
cnf(c_350239,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_350243,plain,
sK0(sK2) = c(sK2),
inference(demodulation,[status(thm)],[c_23736,c_350239]) ).
cnf(c_350244,plain,
sK0(sK3) = c(sK3),
inference(demodulation,[status(thm)],[c_23473,c_350239]) ).
cnf(c_350347,plain,
addition(sK3,addition(X0,c(sK3))) = addition(X0,one),
inference(light_normalisation,[status(thm)],[c_27840,c_35061]) ).
cnf(c_350348,plain,
addition(sK3,addition(c(sK3),X0)) = addition(X0,one),
inference(superposition,[status(thm)],[c_49,c_350347]) ).
cnf(c_350351,plain,
addition(sK3,c(sK3)) = addition(zero,one),
inference(superposition,[status(thm)],[c_350239,c_350347]) ).
cnf(c_350353,plain,
addition(sK3,c(sK3)) = one,
inference(demodulation,[status(thm)],[c_350351,c_350239]) ).
cnf(c_350379,plain,
addition(c(sK3),one) = addition(sK3,c(sK3)),
inference(superposition,[status(thm)],[c_52,c_350348]) ).
cnf(c_350380,plain,
addition(one,c(sK3)) = addition(sK3,c(sK3)),
inference(theory_normalisation,[status(thm)],[c_350379,c_50,c_49]) ).
cnf(c_350381,plain,
addition(one,c(sK3)) = one,
inference(light_normalisation,[status(thm)],[c_350380,c_350353]) ).
cnf(c_350393,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_350395,plain,
addition(sK3,addition(multiplication(sK1,c(sK2)),X0)) = addition(sK3,X0),
inference(superposition,[status(thm)],[c_610,c_50]) ).
cnf(c_350443,plain,
( ~ test(sK3)
| complement(c(sK3),sK3) ),
inference(superposition,[status(thm)],[c_350244,c_63]) ).
cnf(c_350444,plain,
( ~ test(sK2)
| complement(c(sK2),sK2) ),
inference(superposition,[status(thm)],[c_350243,c_63]) ).
cnf(c_350446,plain,
complement(c(sK2),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_350444,c_74]) ).
cnf(c_350447,plain,
complement(c(sK3),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_350443,c_73]) ).
cnf(c_350464,plain,
( ~ test(X0)
| test(c(X0)) ),
inference(superposition,[status(thm)],[c_69,c_62]) ).
cnf(c_350508,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_350509,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_350510,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_350509,c_50,c_49]) ).
cnf(c_350524,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_350446,c_65]) ).
cnf(c_350570,plain,
addition(one,addition(c(sK3),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_350381,c_50]) ).
cnf(c_350571,plain,
addition(one,one) = addition(sK3,one),
inference(superposition,[status(thm)],[c_350381,c_350347]) ).
cnf(c_350572,plain,
addition(one,one) = addition(one,sK3),
inference(theory_normalisation,[status(thm)],[c_350571,c_50,c_49]) ).
cnf(c_350573,plain,
addition(zero,one) = addition(one,sK3),
inference(light_normalisation,[status(thm)],[c_350572,c_148927]) ).
cnf(c_350584,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_350524,c_50]) ).
cnf(c_350601,plain,
addition(sK2,addition(X0,c(sK2))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_350584]) ).
cnf(c_350604,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_350584]) ).
cnf(c_350608,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_350604,c_350524]) ).
cnf(c_350636,plain,
addition(sK3,addition(X0,multiplication(sK1,c(sK2)))) = addition(sK3,X0),
inference(superposition,[status(thm)],[c_49,c_350395]) ).
cnf(c_350674,plain,
addition(one,one) = addition(sK2,one),
inference(superposition,[status(thm)],[c_350608,c_350601]) ).
cnf(c_350676,plain,
addition(one,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_350674,c_50,c_49]) ).
cnf(c_350677,plain,
addition(zero,one) = addition(one,sK2),
inference(light_normalisation,[status(thm)],[c_350676,c_148927]) ).
cnf(c_350854,plain,
multiplication(sK3,c(sK3)) = zero,
inference(superposition,[status(thm)],[c_350447,c_67]) ).
cnf(c_350884,plain,
( ~ test(c(sK3))
| c(c(sK3)) = sK3 ),
inference(superposition,[status(thm)],[c_350447,c_68]) ).
cnf(c_350901,plain,
addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_350903,plain,
addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(zero,X1)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_350910,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_350915,plain,
addition(sK3,multiplication(sK1,addition(X0,c(sK2)))) = addition(sK3,multiplication(sK1,X0)),
inference(superposition,[status(thm)],[c_56,c_350636]) ).
cnf(c_351110,plain,
( ~ test(zero)
| test(c(X0))
| test(X0) ),
inference(resolution,[status(thm)],[c_1014,c_70]) ).
cnf(c_351177,plain,
multiplication(sK3,addition(c(sK3),X0)) = addition(zero,multiplication(sK3,X0)),
inference(superposition,[status(thm)],[c_350854,c_56]) ).
cnf(c_351241,plain,
c(c(sK3)) = sK3,
inference(global_subsumption_just,[status(thm)],[c_350884,c_384,c_1543,c_12678]) ).
cnf(c_351262,plain,
multiplication(sK3,addition(c(sK3),X0)) = multiplication(sK3,X0),
inference(demodulation,[status(thm)],[c_351177,c_350239,c_350903]) ).
cnf(c_351263,plain,
multiplication(sK3,addition(X0,c(sK3))) = multiplication(sK3,X0),
inference(superposition,[status(thm)],[c_49,c_351262]) ).
cnf(c_351425,plain,
addition(X0,multiplication(X1,X0)) = multiplication(addition(one,X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_351447,plain,
addition(multiplication(X0,addition(c(sK3),X1)),multiplication(sK3,X1)) = multiplication(addition(X0,sK3),addition(c(sK3),X1)),
inference(superposition,[status(thm)],[c_351262,c_57]) ).
cnf(c_351480,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_351447,c_50,c_49]) ).
cnf(c_352364,plain,
addition(one,sK3) = one,
inference(demodulation,[status(thm)],[c_350573,c_350239]) ).
cnf(c_352386,plain,
addition(one,sK2) = one,
inference(demodulation,[status(thm)],[c_350677,c_350239]) ).
cnf(c_352846,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_75,c_350508]) ).
cnf(c_352856,plain,
addition(sK1,one) = one,
inference(superposition,[status(thm)],[c_352846,c_350393]) ).
cnf(c_352861,plain,
addition(one,sK1) = one,
inference(theory_normalisation,[status(thm)],[c_352856,c_50,c_49]) ).
cnf(c_353008,plain,
( ~ test(X0)
| addition(c(X0),c(c(X0))) = one ),
inference(superposition,[status(thm)],[c_350464,c_350510]) ).
cnf(c_354373,plain,
test(c(X0)),
inference(global_subsumption_just,[status(thm)],[c_351110,c_576,c_1959,c_351110]) ).
cnf(c_357035,plain,
( ~ test(X0)
| test(c(X0)) ),
inference(superposition,[status(thm)],[c_69,c_62]) ).
cnf(c_357071,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_357074,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_357071,c_50,c_49]) ).
cnf(c_357504,plain,
test(c(X0)),
inference(global_subsumption_just,[status(thm)],[c_357035,c_354373]) ).
cnf(c_358802,plain,
addition(one,addition(X0,c(sK3))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_350570]) ).
cnf(c_359528,plain,
multiplication(sK3,one) = multiplication(sK3,sK3),
inference(superposition,[status(thm)],[c_350353,c_351263]) ).
cnf(c_359574,plain,
multiplication(sK3,sK3) = sK3,
inference(demodulation,[status(thm)],[c_359528,c_54]) ).
cnf(c_359576,plain,
addition(sK3,multiplication(sK3,X0)) = multiplication(sK3,addition(sK3,X0)),
inference(superposition,[status(thm)],[c_359574,c_56]) ).
cnf(c_361980,plain,
addition(c(X0),c(c(X0))) = one,
inference(superposition,[status(thm)],[c_357504,c_357074]) ).
cnf(c_362979,plain,
multiplication(sK3,addition(one,addition(X0,c(sK3)))) = addition(sK3,multiplication(sK3,X0)),
inference(superposition,[status(thm)],[c_351263,c_350901]) ).
cnf(c_363060,plain,
addition(sK3,multiplication(sK1,addition(one,c(sK2)))) = addition(sK3,sK1),
inference(superposition,[status(thm)],[c_350901,c_350636]) ).
cnf(c_363090,plain,
addition(sK3,multiplication(sK1,addition(one,c(sK2)))) = addition(sK1,sK3),
inference(theory_normalisation,[status(thm)],[c_363060,c_50,c_49]) ).
cnf(c_363091,plain,
addition(sK3,multiplication(sK1,one)) = addition(sK1,sK3),
inference(light_normalisation,[status(thm)],[c_363090,c_350608]) ).
cnf(c_363115,plain,
multiplication(sK3,addition(one,X0)) = multiplication(sK3,addition(sK3,X0)),
inference(light_normalisation,[status(thm)],[c_362979,c_358802,c_359576]) ).
cnf(c_367672,plain,
addition(multiplication(sK3,addition(sK3,X0)),X1) = addition(sK3,addition(multiplication(sK3,X0),X1)),
inference(superposition,[status(thm)],[c_359574,c_350910]) ).
cnf(c_367831,plain,
addition(multiplication(sK3,addition(one,X0)),X1) = addition(sK3,addition(multiplication(sK3,X0),X1)),
inference(light_normalisation,[status(thm)],[c_367672,c_363115]) ).
cnf(c_371002,plain,
addition(sK3,multiplication(sK1,one)) = addition(sK3,multiplication(sK1,sK2)),
inference(superposition,[status(thm)],[c_350524,c_350915]) ).
cnf(c_371012,plain,
addition(sK3,multiplication(sK1,sK2)) = addition(sK1,sK3),
inference(light_normalisation,[status(thm)],[c_371002,c_363091]) ).
cnf(c_372425,plain,
addition(sK3,addition(multiplication(sK1,sK2),X0)) = addition(addition(sK1,sK3),X0),
inference(superposition,[status(thm)],[c_371012,c_50]) ).
cnf(c_372437,plain,
addition(sK3,addition(multiplication(sK1,sK2),X0)) = addition(sK1,addition(sK3,X0)),
inference(theory_normalisation,[status(thm)],[c_372425,c_50,c_49]) ).
cnf(c_402515,plain,
addition(c(X0),c(c(X0))) = one,
inference(global_subsumption_just,[status(thm)],[c_353008,c_361980]) ).
cnf(c_402536,plain,
addition(c(X0),addition(c(c(X0)),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_402515,c_50]) ).
cnf(c_427223,plain,
addition(multiplication(sK3,c(c(sK3))),multiplication(X0,one)) = multiplication(addition(X0,sK3),one),
inference(superposition,[status(thm)],[c_402515,c_351480]) ).
cnf(c_427234,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_402536,c_351480]) ).
cnf(c_427255,plain,
multiplication(addition(X0,sK3),one) = addition(sK3,X0),
inference(light_normalisation,[status(thm)],[c_427223,c_54,c_359574,c_351241]) ).
cnf(c_427304,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_427234,c_351241,c_363115]) ).
cnf(c_427598,plain,
addition(sK3,addition(multiplication(sK3,X0),multiplication(X1,addition(one,X0)))) = multiplication(addition(X1,sK3),addition(one,X0)),
inference(demodulation,[status(thm)],[c_427304,c_367831]) ).
cnf(c_427660,plain,
addition(sK3,addition(multiplication(sK3,sK2),multiplication(X0,one))) = multiplication(addition(X0,sK3),one),
inference(superposition,[status(thm)],[c_352386,c_427598]) ).
cnf(c_427729,plain,
addition(sK3,addition(multiplication(sK3,sK2),X0)) = addition(sK3,X0),
inference(light_normalisation,[status(thm)],[c_427660,c_54,c_427255]) ).
cnf(c_429311,plain,
addition(sK3,addition(X0,multiplication(sK1,sK2))) = addition(sK1,addition(sK3,X0)),
inference(superposition,[status(thm)],[c_49,c_372437]) ).
cnf(c_446033,plain,
addition(sK3,multiplication(addition(one,sK1),sK2)) = addition(sK1,addition(sK3,sK2)),
inference(superposition,[status(thm)],[c_351425,c_429311]) ).
cnf(c_446086,plain,
addition(sK3,multiplication(addition(one,sK1),sK2)) = addition(sK1,addition(sK2,sK3)),
inference(theory_normalisation,[status(thm)],[c_446033,c_50,c_49]) ).
cnf(c_446087,plain,
addition(sK1,addition(sK2,sK3)) = addition(sK3,multiplication(one,sK2)),
inference(light_normalisation,[status(thm)],[c_446086,c_352861]) ).
cnf(c_453412,plain,
addition(sK3,addition(X0,multiplication(sK3,sK2))) = addition(sK3,X0),
inference(superposition,[status(thm)],[c_49,c_427729]) ).
cnf(c_481693,plain,
addition(sK3,multiplication(addition(one,sK3),sK2)) = addition(sK3,sK2),
inference(superposition,[status(thm)],[c_351425,c_453412]) ).
cnf(c_481743,plain,
addition(sK3,multiplication(addition(one,sK3),sK2)) = addition(sK2,sK3),
inference(theory_normalisation,[status(thm)],[c_481693,c_50,c_49]) ).
cnf(c_481744,plain,
addition(sK1,addition(sK2,sK3)) = addition(sK2,sK3),
inference(light_normalisation,[status(thm)],[c_481743,c_352364,c_446087]) ).
cnf(c_481745,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_481744,c_304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 12:53:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 108.76/15.28 % SZS status Started for theBenchmark.p
% 108.76/15.28 % SZS status Theorem for theBenchmark.p
% 108.76/15.28
% 108.76/15.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 108.76/15.28
% 108.76/15.28 ------ iProver source info
% 108.76/15.28
% 108.76/15.28 git: date: 2023-05-31 18:12:56 +0000
% 108.76/15.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 108.76/15.28 git: non_committed_changes: false
% 108.76/15.28 git: last_make_outside_of_git: false
% 108.76/15.28
% 108.76/15.28 ------ Parsing...
% 108.76/15.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 108.76/15.28
% 108.76/15.28 ------ 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
% 108.76/15.28
% 108.76/15.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 108.76/15.28
% 108.76/15.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 108.76/15.28 ------ Proving...
% 108.76/15.28 ------ Problem Properties
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28 clauses 26
% 108.76/15.28 conjectures 3
% 108.76/15.28 EPR 4
% 108.76/15.28 Horn 25
% 108.76/15.28 unary 16
% 108.76/15.28 binary 8
% 108.76/15.28 lits 39
% 108.76/15.28 lits eq 23
% 108.76/15.28 fd_pure 0
% 108.76/15.28 fd_pseudo 0
% 108.76/15.28 fd_cond 0
% 108.76/15.28 fd_pseudo_cond 1
% 108.76/15.28 AC symbols 1
% 108.76/15.28
% 108.76/15.28 ------ Schedule dynamic 5 is on
% 108.76/15.28
% 108.76/15.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28 ------
% 108.76/15.28 Current options:
% 108.76/15.28 ------
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28 ------ Proving...
% 108.76/15.28 Proof_search_loop: time out after: 15552 full_loop iterations
% 108.76/15.28
% 108.76/15.28 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28 ------
% 108.76/15.28 Current options:
% 108.76/15.28 ------
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28 ------ Proving...
% 108.76/15.28
% 108.76/15.28
% 108.76/15.28 % SZS status Theorem for theBenchmark.p
% 108.76/15.28
% 108.76/15.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 108.76/15.28
% 108.76/15.28
%------------------------------------------------------------------------------