%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE028+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:08 AM UTC 2026
% Result : Theorem 45.89s 7.39s
% Output : Refutation 46.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 41
% Syntax : Number of formulae : 606 ( 516 unt; 24 def)
% Number of atoms : 749 ( 579 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 254 ( 111 ~; 106 |; 23 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 28 con; 0-2 aty)
% Number of variables : 382 ( 0 sgn 367 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
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] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
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,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,axiom,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_deMorgan1) ).
fof(f19,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( test(X4)
& test(X5) )
=> ( leq(addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))),addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))))
& leq(addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))),addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( test(X4)
& test(X5) )
=> ( leq(addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))),addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))))
& leq(addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))),addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3))))) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f25]) ).
fof(f29,plain,
? [X0,X1,X2,X3,X4,X5] :
( ( ~ leq(addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))),addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))))
| ~ leq(addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))),addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3))))) )
& test(X4)
& test(X5) ),
inference(ennf_transformation,[],[f20]) ).
fof(f30,plain,
? [X0,X1,X2,X3,X4,X5] :
( ( ~ leq(addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))),addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))))
| ~ leq(addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))),addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3))))) )
& test(X4)
& test(X5) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ 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,[],[f23]) ).
fof(f37,plain,
( ( ~ leq(addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))),addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),multiplication(c(sK6),addition(multiplication(sK5,sK2),multiplication(c(sK5),sK4)))))
| ~ leq(addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),multiplication(c(sK6),addition(multiplication(sK5,sK2),multiplication(c(sK5),sK4)))),addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4))))) )
& test(sK5)
& test(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f30]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f48,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f59,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
test(sK6),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
test(sK5),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
( ~ leq(addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))),addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),multiplication(c(sK6),addition(multiplication(sK5,sK2),multiplication(c(sK5),sK4)))))
| ~ leq(addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),multiplication(c(sK6),addition(multiplication(sK5,sK2),multiplication(c(sK5),sK4)))),addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4))))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f56]) ).
fof(f65,definition,
sF7 = multiplication(sK6,sK1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f66,plain,
multiplication(sK6,sK1) = sF7,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF8 = c(sK6),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f68,plain,
c(sK6) = sF8,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF9 = multiplication(sF8,sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f70,plain,
multiplication(sF8,sK2) = sF9,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF10 = addition(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f72,plain,
addition(sF7,sF9) = sF10,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF11 = multiplication(sK5,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f74,plain,
multiplication(sK5,sF10) = sF11,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF12 = c(sK5),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f76,plain,
c(sK5) = sF12,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF13 = multiplication(sK6,sK3),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f78,plain,
multiplication(sK6,sK3) = sF13,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF14 = multiplication(sF8,sK4),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f80,plain,
multiplication(sF8,sK4) = sF14,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF15 = addition(sF13,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f82,plain,
addition(sF13,sF14) = sF15,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF16 = multiplication(sF12,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f84,plain,
multiplication(sF12,sF15) = sF16,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF17 = addition(sF11,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f86,plain,
addition(sF11,sF16) = sF17,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF18 = multiplication(sK5,sK1),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f88,plain,
multiplication(sK5,sK1) = sF18,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF19 = multiplication(sF12,sK3),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f90,plain,
multiplication(sF12,sK3) = sF19,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF20 = addition(sF18,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f92,plain,
addition(sF18,sF19) = sF20,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF21 = multiplication(sK6,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f94,plain,
multiplication(sK6,sF20) = sF21,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF22 = multiplication(sK5,sK2),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f96,plain,
multiplication(sK5,sK2) = sF22,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF23 = multiplication(sF12,sK4),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f98,plain,
multiplication(sF12,sK4) = sF23,
inference(reorient_equations,[],[f97]) ).
fof(f99,definition,
sF24 = addition(sF22,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f100,plain,
addition(sF22,sF23) = sF24,
inference(reorient_equations,[],[f99]) ).
fof(f101,definition,
sF25 = multiplication(sF8,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f102,plain,
multiplication(sF8,sF24) = sF25,
inference(reorient_equations,[],[f101]) ).
fof(f103,definition,
sF26 = addition(sF21,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f104,plain,
addition(sF21,sF25) = sF26,
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
( ~ leq(sF17,sF26)
| ~ leq(sF26,sF17) ),
inference(definition_folding,[],[f63,f86,f84,f82,f80,f68,f78,f76,f74,f72,f70,f68,f66,f104,f102,f100,f98,f76,f96,f68,f94,f92,f90,f76,f88,f104,f102,f100,f98,f76,f96,f68,f94,f92,f90,f76,f88,f86,f84,f82,f80,f68,f78,f76,f74,f72,f70,f68,f66]) ).
fof(f107,definition,
( spl27_1
<=> leq(sF26,sF17) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f109,plain,
( ~ leq(sF26,sF17)
| spl27_1 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f111,definition,
( spl27_2
<=> leq(sF17,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f113,plain,
( ~ leq(sF17,sF26)
| spl27_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f105,f111,f107]) ).
fof(f147,plain,
! [X0] : multiplication(sK5,addition(X0,sK1)) = addition(multiplication(sK5,X0),sF18),
inference(superposition,[],[f45,f88]) ).
fof(f151,plain,
! [X0] : multiplication(sK5,addition(X0,sF10)) = addition(multiplication(sK5,X0),sF11),
inference(superposition,[],[f45,f74]) ).
fof(f153,plain,
! [X0] : multiplication(addition(X0,sK5),sF10) = addition(multiplication(X0,sF10),sF11),
inference(superposition,[],[f46,f74]) ).
fof(f157,plain,
! [X0] : multiplication(addition(X0,sK6),sF20) = addition(multiplication(X0,sF20),sF21),
inference(superposition,[],[f46,f94]) ).
fof(f161,plain,
! [X0] : multiplication(addition(X0,sF8),sK4) = addition(multiplication(X0,sK4),sF14),
inference(superposition,[],[f46,f80]) ).
fof(f162,plain,
! [X0] : multiplication(addition(sF8,X0),sK4) = addition(sF14,multiplication(X0,sK4)),
inference(superposition,[],[f46,f80]) ).
fof(f165,plain,
! [X0] : multiplication(addition(X0,sF8),sK2) = addition(multiplication(X0,sK2),sF9),
inference(superposition,[],[f46,f70]) ).
fof(f167,plain,
! [X0] : multiplication(sF12,addition(X0,sK4)) = addition(multiplication(sF12,X0),sF23),
inference(superposition,[],[f45,f98]) ).
fof(f168,plain,
! [X0] : multiplication(sF12,addition(sK4,X0)) = addition(sF23,multiplication(sF12,X0)),
inference(superposition,[],[f45,f98]) ).
fof(f173,plain,
! [X0] : multiplication(addition(X0,sF12),sK3) = addition(multiplication(X0,sK3),sF19),
inference(superposition,[],[f46,f90]) ).
fof(f239,plain,
! [X0] : multiplication(sF8,addition(X0,sF24)) = addition(multiplication(sF8,X0),sF25),
inference(superposition,[],[f45,f102]) ).
fof(f241,plain,
! [X0] : multiplication(addition(X0,sF8),sF24) = addition(multiplication(X0,sF24),sF25),
inference(superposition,[],[f46,f102]) ).
fof(f243,plain,
! [X0] : multiplication(sF12,addition(X0,sF15)) = addition(multiplication(sF12,X0),sF16),
inference(superposition,[],[f45,f84]) ).
fof(f244,plain,
! [X0] : multiplication(sF12,addition(sF15,X0)) = addition(sF16,multiplication(sF12,X0)),
inference(superposition,[],[f45,f84]) ).
fof(f245,plain,
! [X0] : multiplication(addition(X0,sF12),sF15) = addition(multiplication(X0,sF15),sF16),
inference(superposition,[],[f46,f84]) ).
fof(f246,plain,
! [X0] : multiplication(addition(sF12,X0),sF15) = addition(sF16,multiplication(X0,sF15)),
inference(superposition,[],[f46,f84]) ).
fof(f248,plain,
( complement(sK6,sF8)
| ~ test(sK6) ),
inference(superposition,[],[f64,f68]) ).
fof(f249,plain,
( complement(sK5,sF12)
| ~ test(sK5) ),
inference(superposition,[],[f64,f76]) ).
fof(f250,plain,
complement(sK5,sF12),
inference(forward_subsumption_resolution,[],[f249,f62]) ).
fof(f251,plain,
complement(sK6,sF8),
inference(forward_subsumption_resolution,[],[f248,f61]) ).
fof(f253,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f39,f38]) ).
fof(f255,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f39,f46]) ).
fof(f256,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f39,f45]) ).
fof(f257,plain,
! [X0] : addition(sF10,X0) = addition(sF7,addition(sF9,X0)),
inference(superposition,[],[f39,f72]) ).
fof(f258,plain,
! [X0] : addition(sF11,addition(sF16,X0)) = addition(sF17,X0),
inference(superposition,[],[f39,f86]) ).
fof(f259,plain,
! [X0] : addition(sF15,X0) = addition(sF13,addition(sF14,X0)),
inference(superposition,[],[f39,f82]) ).
fof(f261,plain,
! [X0] : addition(sF21,addition(sF25,X0)) = addition(sF26,X0),
inference(superposition,[],[f39,f104]) ).
fof(f262,plain,
! [X0] : addition(sF24,X0) = addition(sF22,addition(sF23,X0)),
inference(superposition,[],[f39,f100]) ).
fof(f267,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f38,f39]) ).
fof(f269,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[],[f253,f39]) ).
fof(f316,plain,
! [X2,X3,X0,X1] : multiplication(addition(multiplication(X0,X1),X3),X2) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2)),
inference(superposition,[],[f46,f42]) ).
fof(f335,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f39,f41]) ).
fof(f336,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f49,f41]) ).
fof(f337,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f39,f41]) ).
fof(f340,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f362,plain,
one = addition(sF8,sK6),
inference(resolution,[],[f251,f52]) ).
fof(f363,plain,
! [X0] : addition(sF8,addition(sK6,X0)) = addition(one,X0),
inference(superposition,[],[f39,f362]) ).
fof(f374,plain,
one = addition(sF12,sK5),
inference(resolution,[],[f250,f52]) ).
fof(f375,plain,
! [X0] : addition(one,X0) = addition(sF12,addition(sK5,X0)),
inference(superposition,[],[f39,f374]) ).
fof(f412,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f256,f46]) ).
fof(f448,plain,
! [X2,X3,X0,X1] : addition(multiplication(X2,X1),multiplication(addition(X2,X3),X0)) = addition(multiplication(X2,addition(X0,X1)),multiplication(X3,X0)),
inference(superposition,[],[f412,f38]) ).
fof(f458,plain,
! [X0,X1] : addition(multiplication(X0,sF8),multiplication(addition(X0,X1),sK6)) = addition(multiplication(X0,one),multiplication(X1,sK6)),
inference(superposition,[],[f412,f362]) ).
fof(f535,plain,
! [X0,X1] : addition(multiplication(X0,sF8),multiplication(addition(X0,X1),sK6)) = addition(X0,multiplication(X1,sK6)),
inference(forward_demodulation,[],[f458,f43]) ).
fof(f572,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f335,f38]) ).
fof(f583,plain,
one = addition(sF8,one),
inference(superposition,[],[f335,f362]) ).
fof(f587,plain,
one = addition(sF12,one),
inference(superposition,[],[f335,f374]) ).
fof(f591,plain,
sF20 = addition(sF18,sF20),
inference(superposition,[],[f335,f92]) ).
fof(f595,plain,
sF24 = addition(sF22,sF24),
inference(superposition,[],[f335,f100]) ).
fof(f642,plain,
! [X0] : addition(sF24,multiplication(sF12,X0)) = addition(sF22,multiplication(sF12,addition(sK4,X0))),
inference(superposition,[],[f262,f168]) ).
fof(f644,plain,
! [X0] : addition(sF24,X0) = addition(sF22,addition(X0,sF23)),
inference(superposition,[],[f262,f38]) ).
fof(f657,plain,
! [X0] : addition(sF15,X0) = addition(sF13,addition(X0,sF14)),
inference(superposition,[],[f259,f38]) ).
fof(f670,plain,
! [X0] : addition(sF10,X0) = addition(sF7,addition(X0,sF9)),
inference(superposition,[],[f257,f38]) ).
fof(f708,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f38,f40]) ).
fof(f769,plain,
zero = multiplication(sF8,sK6),
inference(resolution,[],[f54,f251]) ).
fof(f770,plain,
zero = multiplication(sF12,sK5),
inference(resolution,[],[f54,f250]) ).
fof(f771,plain,
multiplication(sF12,addition(sF15,sK4)) = addition(sF16,sF23),
inference(superposition,[],[f244,f98]) ).
fof(f785,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f46,f44]) ).
fof(f786,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f46,f44]) ).
fof(f800,plain,
multiplication(addition(sF8,one),sK4) = addition(sF14,sK4),
inference(superposition,[],[f162,f44]) ).
fof(f814,plain,
multiplication(one,sK4) = addition(sF14,sK4),
inference(forward_demodulation,[],[f800,f583]) ).
fof(f816,plain,
sK4 = addition(sF14,sK4),
inference(forward_demodulation,[],[f814,f44]) ).
fof(f1104,plain,
zero = multiplication(sK6,sF8),
inference(resolution,[],[f53,f251]) ).
fof(f1105,plain,
zero = multiplication(sK5,sF12),
inference(resolution,[],[f53,f250]) ).
fof(f1124,plain,
addition(sF15,sK4) = addition(sF13,sK4),
inference(superposition,[],[f259,f816]) ).
fof(f1287,plain,
addition(sF7,sF9) = addition(sF10,sF7),
inference(superposition,[],[f335,f670]) ).
fof(f1293,plain,
sF10 = addition(sF10,sF7),
inference(forward_demodulation,[],[f1287,f72]) ).
fof(f1301,plain,
one = addition(one,sF12),
inference(superposition,[],[f38,f587]) ).
fof(f1317,plain,
addition(sF13,sF14) = addition(sF15,sF13),
inference(superposition,[],[f335,f657]) ).
fof(f1323,plain,
sF15 = addition(sF15,sF13),
inference(forward_demodulation,[],[f1317,f82]) ).
fof(f1510,plain,
addition(sF9,sF7) = addition(sF9,addition(sF10,sF7)),
inference(superposition,[],[f337,f257]) ).
fof(f1511,plain,
addition(sF14,sF13) = addition(sF14,addition(sF15,sF13)),
inference(superposition,[],[f337,f259]) ).
fof(f1563,plain,
addition(sF14,sF13) = addition(sF14,sF15),
inference(forward_demodulation,[],[f1511,f1323]) ).
fof(f1564,plain,
addition(sF9,sF7) = addition(sF9,sF10),
inference(forward_demodulation,[],[f1510,f1293]) ).
fof(f1702,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF8,multiplication(sK6,X0)),
inference(superposition,[],[f42,f769]) ).
fof(f1704,plain,
! [X0] : multiplication(sF8,addition(X0,sK6)) = addition(multiplication(sF8,X0),zero),
inference(superposition,[],[f45,f769]) ).
fof(f1717,plain,
! [X0] : multiplication(sF8,X0) = multiplication(sF8,addition(X0,sK6)),
inference(forward_demodulation,[],[f1704,f40]) ).
fof(f1719,plain,
! [X0] : zero = multiplication(sF8,multiplication(sK6,X0)),
inference(forward_demodulation,[],[f1702,f48]) ).
fof(f1730,plain,
multiplication(sF8,one) = multiplication(sF8,sF8),
inference(superposition,[],[f1717,f362]) ).
fof(f1753,plain,
sF8 = multiplication(sF8,sF8),
inference(forward_demodulation,[],[f1730,f43]) ).
fof(f1794,plain,
zero = multiplication(sF8,sF7),
inference(superposition,[],[f1719,f66]) ).
fof(f1795,plain,
zero = multiplication(sF8,sF13),
inference(superposition,[],[f1719,f78]) ).
fof(f1803,plain,
! [X0,X1] : addition(multiplication(sF8,X0),zero) = multiplication(sF8,addition(X0,multiplication(sK6,X1))),
inference(superposition,[],[f45,f1719]) ).
fof(f1816,plain,
! [X0,X1] : multiplication(sF8,X0) = multiplication(sF8,addition(X0,multiplication(sK6,X1))),
inference(forward_demodulation,[],[f1803,f40]) ).
fof(f1830,plain,
! [X0] : addition(zero,multiplication(sF8,X0)) = multiplication(sF8,addition(sF7,X0)),
inference(superposition,[],[f45,f1794]) ).
fof(f1833,plain,
! [X0] : multiplication(addition(sF8,X0),sF7) = addition(zero,multiplication(X0,sF7)),
inference(superposition,[],[f46,f1794]) ).
fof(f1842,plain,
! [X0] : multiplication(X0,sF7) = multiplication(addition(sF8,X0),sF7),
inference(forward_demodulation,[],[f1833,f708]) ).
fof(f1845,plain,
! [X0] : multiplication(sF8,X0) = multiplication(sF8,addition(sF7,X0)),
inference(forward_demodulation,[],[f1830,f708]) ).
fof(f1857,plain,
! [X0] : addition(zero,multiplication(sF8,X0)) = multiplication(sF8,addition(sF13,X0)),
inference(superposition,[],[f45,f1795]) ).
fof(f1860,plain,
! [X0] : multiplication(addition(sF8,X0),sF13) = addition(zero,multiplication(X0,sF13)),
inference(superposition,[],[f46,f1795]) ).
fof(f1869,plain,
! [X0] : multiplication(X0,sF13) = multiplication(addition(sF8,X0),sF13),
inference(forward_demodulation,[],[f1860,f708]) ).
fof(f1872,plain,
! [X0] : multiplication(sF8,X0) = multiplication(sF8,addition(sF13,X0)),
inference(forward_demodulation,[],[f1857,f708]) ).
fof(f1907,plain,
multiplication(sK6,sF7) = multiplication(one,sF7),
inference(superposition,[],[f1842,f362]) ).
fof(f1930,plain,
sF7 = multiplication(sK6,sF7),
inference(forward_demodulation,[],[f1907,f44]) ).
fof(f1934,plain,
multiplication(sK6,sF13) = multiplication(one,sF13),
inference(superposition,[],[f1869,f362]) ).
fof(f1957,plain,
sF13 = multiplication(sK6,sF13),
inference(forward_demodulation,[],[f1934,f44]) ).
fof(f2153,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK6,multiplication(sF8,X0)),
inference(superposition,[],[f42,f1104]) ).
fof(f2154,plain,
! [X0] : multiplication(sK6,addition(sF8,X0)) = addition(zero,multiplication(sK6,X0)),
inference(superposition,[],[f45,f1104]) ).
fof(f2169,plain,
! [X0] : multiplication(sK6,X0) = multiplication(sK6,addition(sF8,X0)),
inference(forward_demodulation,[],[f2154,f708]) ).
fof(f2170,plain,
! [X0] : zero = multiplication(sK6,multiplication(sF8,X0)),
inference(forward_demodulation,[],[f2153,f48]) ).
fof(f2241,plain,
! [X0,X1] : multiplication(multiplication(sK6,X0),X1) = multiplication(sK6,multiplication(addition(sF8,X0),X1)),
inference(superposition,[],[f42,f2169]) ).
fof(f2255,plain,
! [X0,X1] : multiplication(sK6,multiplication(X0,X1)) = multiplication(sK6,multiplication(addition(sF8,X0),X1)),
inference(forward_demodulation,[],[f2241,f42]) ).
fof(f2312,plain,
zero = multiplication(sK6,sF9),
inference(superposition,[],[f2170,f70]) ).
fof(f2313,plain,
zero = multiplication(sK6,sF14),
inference(superposition,[],[f2170,f80]) ).
fof(f2318,plain,
zero = multiplication(sK6,sF25),
inference(superposition,[],[f2170,f102]) ).
fof(f2327,plain,
! [X0,X1] : multiplication(sK6,addition(multiplication(sF8,X0),X1)) = addition(zero,multiplication(sK6,X1)),
inference(superposition,[],[f45,f2170]) ).
fof(f2342,plain,
! [X0,X1] : multiplication(sK6,X1) = multiplication(sK6,addition(multiplication(sF8,X0),X1)),
inference(forward_demodulation,[],[f2327,f708]) ).
fof(f2365,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK6,multiplication(sF25,X0)),
inference(superposition,[],[f42,f2318]) ).
fof(f2366,plain,
! [X0] : addition(zero,multiplication(sK6,X0)) = multiplication(sK6,addition(sF25,X0)),
inference(superposition,[],[f45,f2318]) ).
fof(f2381,plain,
! [X0] : multiplication(sK6,X0) = multiplication(sK6,addition(sF25,X0)),
inference(forward_demodulation,[],[f2366,f708]) ).
fof(f2382,plain,
! [X0] : zero = multiplication(sK6,multiplication(sF25,X0)),
inference(forward_demodulation,[],[f2365,f48]) ).
fof(f2405,plain,
! [X0] : addition(multiplication(sK6,X0),zero) = multiplication(sK6,addition(X0,sF9)),
inference(superposition,[],[f45,f2312]) ).
fof(f2407,plain,
! [X0] : multiplication(addition(sK6,X0),sF9) = addition(zero,multiplication(X0,sF9)),
inference(superposition,[],[f46,f2312]) ).
fof(f2416,plain,
! [X0] : multiplication(X0,sF9) = multiplication(addition(sK6,X0),sF9),
inference(forward_demodulation,[],[f2407,f708]) ).
fof(f2418,plain,
! [X0] : multiplication(sK6,X0) = multiplication(sK6,addition(X0,sF9)),
inference(forward_demodulation,[],[f2405,f40]) ).
fof(f2443,plain,
! [X0] : addition(multiplication(sK6,X0),zero) = multiplication(sK6,addition(X0,sF14)),
inference(superposition,[],[f45,f2313]) ).
fof(f2445,plain,
! [X0] : multiplication(addition(sK6,X0),sF14) = addition(zero,multiplication(X0,sF14)),
inference(superposition,[],[f46,f2313]) ).
fof(f2454,plain,
! [X0] : multiplication(X0,sF14) = multiplication(addition(sK6,X0),sF14),
inference(forward_demodulation,[],[f2445,f708]) ).
fof(f2456,plain,
! [X0] : multiplication(sK6,X0) = multiplication(sK6,addition(X0,sF14)),
inference(forward_demodulation,[],[f2443,f40]) ).
fof(f2630,plain,
multiplication(sK6,sF7) = multiplication(sK6,sF10),
inference(superposition,[],[f2418,f72]) ).
fof(f2662,plain,
sF7 = multiplication(sK6,sF10),
inference(forward_demodulation,[],[f2630,f1930]) ).
fof(f2686,plain,
! [X0] : multiplication(addition(sK6,X0),sF10) = addition(sF7,multiplication(X0,sF10)),
inference(superposition,[],[f46,f2662]) ).
fof(f2707,plain,
multiplication(sK6,sF13) = multiplication(sK6,sF15),
inference(superposition,[],[f2456,f82]) ).
fof(f2739,plain,
sF13 = multiplication(sK6,sF15),
inference(forward_demodulation,[],[f2707,f1957]) ).
fof(f2898,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF12,multiplication(sK5,X0)),
inference(superposition,[],[f42,f770]) ).
fof(f2899,plain,
! [X0] : multiplication(sF12,addition(sK5,X0)) = addition(zero,multiplication(sF12,X0)),
inference(superposition,[],[f45,f770]) ).
fof(f2900,plain,
! [X0] : multiplication(sF12,addition(X0,sK5)) = addition(multiplication(sF12,X0),zero),
inference(superposition,[],[f45,f770]) ).
fof(f2902,plain,
! [X0] : multiplication(addition(sF12,X0),sK5) = addition(zero,multiplication(X0,sK5)),
inference(superposition,[],[f46,f770]) ).
fof(f2911,plain,
! [X0] : multiplication(X0,sK5) = multiplication(addition(sF12,X0),sK5),
inference(forward_demodulation,[],[f2902,f708]) ).
fof(f2913,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,addition(X0,sK5)),
inference(forward_demodulation,[],[f2900,f40]) ).
fof(f2914,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,addition(sK5,X0)),
inference(forward_demodulation,[],[f2899,f708]) ).
fof(f2915,plain,
! [X0] : zero = multiplication(sF12,multiplication(sK5,X0)),
inference(forward_demodulation,[],[f2898,f48]) ).
fof(f2926,plain,
multiplication(sF12,one) = multiplication(sF12,sF12),
inference(superposition,[],[f2913,f374]) ).
fof(f2949,plain,
sF12 = multiplication(sF12,sF12),
inference(forward_demodulation,[],[f2926,f43]) ).
fof(f2962,plain,
! [X0,X1] : multiplication(multiplication(sF12,X0),X1) = multiplication(sF12,multiplication(addition(sK5,X0),X1)),
inference(superposition,[],[f42,f2914]) ).
fof(f2976,plain,
! [X0,X1] : multiplication(sF12,multiplication(X0,X1)) = multiplication(sF12,multiplication(addition(sK5,X0),X1)),
inference(forward_demodulation,[],[f2962,f42]) ).
fof(f2991,plain,
zero = multiplication(sF12,sF18),
inference(superposition,[],[f2915,f88]) ).
fof(f2992,plain,
zero = multiplication(sF12,sF22),
inference(superposition,[],[f2915,f96]) ).
fof(f2993,plain,
zero = multiplication(sF12,sF11),
inference(superposition,[],[f2915,f74]) ).
fof(f2999,plain,
! [X0,X1] : multiplication(sF12,addition(multiplication(sK5,X0),X1)) = addition(zero,multiplication(sF12,X1)),
inference(superposition,[],[f45,f2915]) ).
fof(f3014,plain,
! [X0,X1] : multiplication(sF12,X1) = multiplication(sF12,addition(multiplication(sK5,X0),X1)),
inference(forward_demodulation,[],[f2999,f708]) ).
fof(f3027,plain,
! [X0] : addition(zero,multiplication(sF12,X0)) = multiplication(sF12,addition(sF22,X0)),
inference(superposition,[],[f45,f2992]) ).
fof(f3030,plain,
! [X0] : multiplication(addition(sF12,X0),sF22) = addition(zero,multiplication(X0,sF22)),
inference(superposition,[],[f46,f2992]) ).
fof(f3039,plain,
! [X0] : multiplication(X0,sF22) = multiplication(addition(sF12,X0),sF22),
inference(forward_demodulation,[],[f3030,f708]) ).
fof(f3042,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,addition(sF22,X0)),
inference(forward_demodulation,[],[f3027,f708]) ).
fof(f3054,plain,
! [X0] : addition(zero,multiplication(sF12,X0)) = multiplication(sF12,addition(sF18,X0)),
inference(superposition,[],[f45,f2991]) ).
fof(f3057,plain,
! [X0] : multiplication(addition(sF12,X0),sF18) = addition(zero,multiplication(X0,sF18)),
inference(superposition,[],[f46,f2991]) ).
fof(f3066,plain,
! [X0] : multiplication(X0,sF18) = multiplication(addition(sF12,X0),sF18),
inference(forward_demodulation,[],[f3057,f708]) ).
fof(f3069,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,addition(sF18,X0)),
inference(forward_demodulation,[],[f3054,f708]) ).
fof(f3081,plain,
! [X0] : addition(zero,multiplication(sF12,X0)) = multiplication(sF12,addition(sF11,X0)),
inference(superposition,[],[f45,f2993]) ).
fof(f3084,plain,
! [X0] : multiplication(addition(sF12,X0),sF11) = addition(zero,multiplication(X0,sF11)),
inference(superposition,[],[f46,f2993]) ).
fof(f3093,plain,
! [X0] : multiplication(X0,sF11) = multiplication(addition(sF12,X0),sF11),
inference(forward_demodulation,[],[f3084,f708]) ).
fof(f3096,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,addition(sF11,X0)),
inference(forward_demodulation,[],[f3081,f708]) ).
fof(f3104,plain,
multiplication(sK5,sF22) = multiplication(one,sF22),
inference(superposition,[],[f3039,f374]) ).
fof(f3127,plain,
sF22 = multiplication(sK5,sF22),
inference(forward_demodulation,[],[f3104,f44]) ).
fof(f3131,plain,
multiplication(sK5,sF11) = multiplication(one,sF11),
inference(superposition,[],[f3093,f374]) ).
fof(f3154,plain,
sF11 = multiplication(sK5,sF11),
inference(forward_demodulation,[],[f3131,f44]) ).
fof(f3158,plain,
multiplication(sK5,sF18) = multiplication(one,sF18),
inference(superposition,[],[f3066,f374]) ).
fof(f3181,plain,
sF18 = multiplication(sK5,sF18),
inference(forward_demodulation,[],[f3158,f44]) ).
fof(f3337,plain,
! [X0,X1] : multiplication(multiplication(sK6,X0),X1) = multiplication(sK6,multiplication(addition(sF25,X0),X1)),
inference(superposition,[],[f42,f2381]) ).
fof(f3351,plain,
! [X0,X1] : multiplication(sK6,multiplication(X0,X1)) = multiplication(sK6,multiplication(addition(sF25,X0),X1)),
inference(forward_demodulation,[],[f3337,f42]) ).
fof(f3388,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK5,multiplication(sF12,X0)),
inference(superposition,[],[f42,f1105]) ).
fof(f3389,plain,
! [X0] : multiplication(sK5,addition(sF12,X0)) = addition(zero,multiplication(sK5,X0)),
inference(superposition,[],[f45,f1105]) ).
fof(f3404,plain,
! [X0] : multiplication(sK5,X0) = multiplication(sK5,addition(sF12,X0)),
inference(forward_demodulation,[],[f3389,f708]) ).
fof(f3405,plain,
! [X0] : zero = multiplication(sK5,multiplication(sF12,X0)),
inference(forward_demodulation,[],[f3388,f48]) ).
fof(f3547,plain,
zero = multiplication(sK5,sF19),
inference(superposition,[],[f3405,f90]) ).
fof(f3548,plain,
zero = multiplication(sK5,sF23),
inference(superposition,[],[f3405,f98]) ).
fof(f3551,plain,
zero = multiplication(sK5,sF16),
inference(superposition,[],[f3405,f84]) ).
fof(f3602,plain,
! [X0] : addition(multiplication(sK5,X0),zero) = multiplication(sK5,addition(X0,sF23)),
inference(superposition,[],[f45,f3548]) ).
fof(f3604,plain,
! [X0] : multiplication(addition(sK5,X0),sF23) = addition(zero,multiplication(X0,sF23)),
inference(superposition,[],[f46,f3548]) ).
fof(f3613,plain,
! [X0] : multiplication(X0,sF23) = multiplication(addition(sK5,X0),sF23),
inference(forward_demodulation,[],[f3604,f708]) ).
fof(f3615,plain,
! [X0] : multiplication(sK5,X0) = multiplication(sK5,addition(X0,sF23)),
inference(forward_demodulation,[],[f3602,f40]) ).
fof(f3640,plain,
! [X0] : addition(multiplication(sK5,X0),zero) = multiplication(sK5,addition(X0,sF19)),
inference(superposition,[],[f45,f3547]) ).
fof(f3653,plain,
! [X0] : multiplication(sK5,X0) = multiplication(sK5,addition(X0,sF19)),
inference(forward_demodulation,[],[f3640,f40]) ).
fof(f3676,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK5,multiplication(sF16,X0)),
inference(superposition,[],[f42,f3551]) ).
fof(f3677,plain,
! [X0] : addition(zero,multiplication(sK5,X0)) = multiplication(sK5,addition(sF16,X0)),
inference(superposition,[],[f45,f3551]) ).
fof(f3678,plain,
! [X0] : addition(multiplication(sK5,X0),zero) = multiplication(sK5,addition(X0,sF16)),
inference(superposition,[],[f45,f3551]) ).
fof(f3680,plain,
! [X0] : multiplication(addition(sK5,X0),sF16) = addition(zero,multiplication(X0,sF16)),
inference(superposition,[],[f46,f3551]) ).
fof(f3689,plain,
! [X0] : multiplication(X0,sF16) = multiplication(addition(sK5,X0),sF16),
inference(forward_demodulation,[],[f3680,f708]) ).
fof(f3691,plain,
! [X0] : multiplication(sK5,X0) = multiplication(sK5,addition(X0,sF16)),
inference(forward_demodulation,[],[f3678,f40]) ).
fof(f3692,plain,
! [X0] : multiplication(sK5,X0) = multiplication(sK5,addition(sF16,X0)),
inference(forward_demodulation,[],[f3677,f708]) ).
fof(f3693,plain,
! [X0] : zero = multiplication(sK5,multiplication(sF16,X0)),
inference(forward_demodulation,[],[f3676,f48]) ).
fof(f3787,plain,
multiplication(sK5,sF11) = multiplication(sK5,sF17),
inference(superposition,[],[f3691,f86]) ).
fof(f3819,plain,
sF11 = multiplication(sK5,sF17),
inference(forward_demodulation,[],[f3787,f3154]) ).
fof(f3841,plain,
! [X0] : addition(multiplication(sK5,X0),sF11) = multiplication(sK5,addition(X0,sF17)),
inference(superposition,[],[f45,f3819]) ).
fof(f3848,plain,
! [X0] : multiplication(sK5,addition(X0,sF10)) = multiplication(sK5,addition(X0,sF17)),
inference(forward_demodulation,[],[f3841,f151]) ).
fof(f3865,plain,
multiplication(sK5,sF22) = multiplication(sK5,sF24),
inference(superposition,[],[f3615,f100]) ).
fof(f3897,plain,
sF22 = multiplication(sK5,sF24),
inference(forward_demodulation,[],[f3865,f3127]) ).
fof(f3942,plain,
multiplication(sK5,sF18) = multiplication(sK5,sF20),
inference(superposition,[],[f3653,f92]) ).
fof(f3974,plain,
sF18 = multiplication(sK5,sF20),
inference(forward_demodulation,[],[f3942,f3181]) ).
fof(f3998,plain,
! [X0] : multiplication(addition(sK5,X0),sF20) = addition(sF18,multiplication(X0,sF20)),
inference(superposition,[],[f46,f3974]) ).
fof(f4278,plain,
! [X0,X1] : multiplication(multiplication(sK5,X0),X1) = multiplication(sK5,multiplication(addition(sF16,X0),X1)),
inference(superposition,[],[f42,f3692]) ).
fof(f4292,plain,
! [X0,X1] : multiplication(sK5,multiplication(X0,X1)) = multiplication(sK5,multiplication(addition(sF16,X0),X1)),
inference(forward_demodulation,[],[f4278,f42]) ).
fof(f4674,plain,
addition(sK4,sF23) = multiplication(addition(one,sF12),sK4),
inference(superposition,[],[f786,f98]) ).
fof(f4802,plain,
multiplication(one,sK4) = addition(sK4,sF23),
inference(forward_demodulation,[],[f4674,f1301]) ).
fof(f4931,plain,
sK4 = addition(sK4,sF23),
inference(forward_demodulation,[],[f4802,f44]) ).
fof(f5173,plain,
! [X0] : addition(X0,one) = addition(sK6,addition(X0,sF8)),
inference(superposition,[],[f267,f362]) ).
fof(f5178,plain,
! [X0] : addition(X0,sF17) = addition(sF16,addition(X0,sF11)),
inference(superposition,[],[f267,f86]) ).
fof(f5180,plain,
! [X0] : addition(X0,one) = addition(sK5,addition(X0,sF12)),
inference(superposition,[],[f267,f374]) ).
fof(f5199,plain,
! [X0] : addition(X0,sF26) = addition(sF25,addition(X0,sF21)),
inference(superposition,[],[f267,f104]) ).
fof(f5638,plain,
addition(sF12,sK5) = addition(one,sK5),
inference(superposition,[],[f375,f41]) ).
fof(f5655,plain,
addition(sK5,sF12) = addition(sK5,addition(one,sF12)),
inference(superposition,[],[f337,f375]) ).
fof(f5671,plain,
addition(sK5,sF12) = addition(one,one),
inference(forward_demodulation,[],[f5655,f5180]) ).
fof(f5677,plain,
one = addition(one,sK5),
inference(forward_demodulation,[],[f5638,f374]) ).
fof(f5682,plain,
one = addition(sK5,sF12),
inference(forward_demodulation,[],[f5671,f41]) ).
fof(f5712,plain,
! [X0] : addition(sF24,multiplication(sF12,X0)) = addition(sF22,multiplication(sF12,addition(X0,sK4))),
inference(superposition,[],[f644,f167]) ).
fof(f6118,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X3,X0),X1),multiplication(X0,X2)) = addition(multiplication(X3,X1),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f255,f45]) ).
fof(f6573,plain,
! [X0] : addition(X0,sK4) = addition(sF23,addition(X0,sK4)),
inference(superposition,[],[f267,f4931]) ).
fof(f6617,plain,
! [X0] : multiplication(sF8,X0) = multiplication(sF8,multiplication(sF8,X0)),
inference(superposition,[],[f42,f1753]) ).
fof(f6679,plain,
multiplication(addition(sF12,one),sF15) = addition(sF16,sF15),
inference(superposition,[],[f246,f44]) ).
fof(f6699,plain,
multiplication(one,sF15) = addition(sF16,sF15),
inference(forward_demodulation,[],[f6679,f587]) ).
fof(f6703,plain,
sF15 = addition(sF16,sF15),
inference(forward_demodulation,[],[f6699,f44]) ).
fof(f6783,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sK6)) = multiplication(c(X0),c(sK6)) ),
inference(resolution,[],[f59,f61]) ).
fof(f6784,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sK5)) = multiplication(c(X0),c(sK5)) ),
inference(resolution,[],[f59,f62]) ).
fof(f6786,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sK5)) = multiplication(c(X0),sF12) ),
inference(forward_demodulation,[],[f6784,f76]) ).
fof(f6787,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sK6)) = multiplication(c(X0),sF8) ),
inference(forward_demodulation,[],[f6783,f68]) ).
fof(f6789,plain,
c(addition(sK5,sK6)) = multiplication(c(sK5),sF8),
inference(resolution,[],[f6787,f62]) ).
fof(f6791,plain,
c(addition(sK5,sK6)) = multiplication(sF12,sF8),
inference(forward_demodulation,[],[f6789,f76]) ).
fof(f6795,plain,
c(addition(sK6,sK5)) = multiplication(c(sK6),sF12),
inference(resolution,[],[f6786,f61]) ).
fof(f6799,plain,
c(addition(sK6,sK5)) = multiplication(sF8,sF12),
inference(forward_demodulation,[],[f6795,f68]) ).
fof(f6839,plain,
c(addition(sK5,sK6)) = multiplication(sF8,sF12),
inference(superposition,[],[f6799,f38]) ).
fof(f6850,plain,
multiplication(sF12,sF8) = multiplication(sF8,sF12),
inference(forward_demodulation,[],[f6839,f6791]) ).
fof(f7174,plain,
! [X0] : addition(X0,sF15) = addition(sF16,addition(sF15,X0)),
inference(superposition,[],[f267,f6703]) ).
fof(f7183,plain,
multiplication(sF8,sF9) = multiplication(sF8,sF10),
inference(superposition,[],[f1845,f72]) ).
fof(f7257,plain,
multiplication(sF8,sF14) = multiplication(sF8,sF15),
inference(superposition,[],[f1872,f82]) ).
fof(f7409,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,multiplication(sF12,X0)),
inference(superposition,[],[f42,f2949]) ).
fof(f7775,plain,
addition(sF8,sK6) = addition(one,sK6),
inference(superposition,[],[f363,f41]) ).
fof(f7792,plain,
addition(sK6,sF8) = addition(sK6,addition(one,sF8)),
inference(superposition,[],[f337,f363]) ).
fof(f7808,plain,
addition(sK6,sF8) = addition(one,one),
inference(forward_demodulation,[],[f7792,f5173]) ).
fof(f7814,plain,
one = addition(one,sK6),
inference(forward_demodulation,[],[f7775,f362]) ).
fof(f7819,plain,
one = addition(sK6,sF8),
inference(forward_demodulation,[],[f7808,f41]) ).
fof(f8155,plain,
multiplication(sF8,sF14) = multiplication(one,sF14),
inference(superposition,[],[f2454,f7819]) ).
fof(f8156,plain,
multiplication(sF8,sF9) = multiplication(one,sF9),
inference(superposition,[],[f2416,f7819]) ).
fof(f8180,plain,
sF9 = multiplication(sF8,sF9),
inference(forward_demodulation,[],[f8156,f44]) ).
fof(f8181,plain,
sF14 = multiplication(sF8,sF14),
inference(forward_demodulation,[],[f8155,f44]) ).
fof(f8182,plain,
multiplication(sF12,sF23) = multiplication(sF12,sF24),
inference(superposition,[],[f3042,f100]) ).
fof(f8259,plain,
multiplication(sF12,sF16) = multiplication(sF12,sF17),
inference(superposition,[],[f3096,f86]) ).
fof(f8398,plain,
addition(sF12,multiplication(sK5,sK6)) = addition(multiplication(sF12,sF8),multiplication(one,sK6)),
inference(superposition,[],[f535,f374]) ).
fof(f8399,plain,
addition(multiplication(sF12,sF8),multiplication(one,sK6)) = addition(sF12,multiplication(one,sK6)),
inference(superposition,[],[f535,f587]) ).
fof(f8485,plain,
addition(sF12,sK6) = addition(multiplication(sF12,sF8),sK6),
inference(forward_demodulation,[],[f8399,f44]) ).
fof(f8486,plain,
addition(sF12,multiplication(sK5,sK6)) = addition(multiplication(sF12,sF8),sK6),
inference(forward_demodulation,[],[f8398,f44]) ).
fof(f8562,plain,
addition(sF12,sK6) = addition(multiplication(sF8,sF12),sK6),
inference(forward_demodulation,[],[f8485,f6850]) ).
fof(f8563,plain,
addition(sF12,multiplication(sK5,sK6)) = addition(multiplication(sF8,sF12),sK6),
inference(forward_demodulation,[],[f8486,f6850]) ).
fof(f8621,plain,
addition(sF12,sK6) = addition(sF12,multiplication(sK5,sK6)),
inference(forward_demodulation,[],[f8563,f8562]) ).
fof(f8788,plain,
! [X0] : addition(sF26,X0) = addition(sF21,addition(X0,sF25)),
inference(superposition,[],[f261,f38]) ).
fof(f8789,plain,
! [X0] : addition(sF21,addition(sF25,X0)) = addition(sF26,addition(sF25,X0)),
inference(superposition,[],[f261,f335]) ).
fof(f8799,plain,
addition(sF25,sF21) = addition(sF25,addition(sF26,sF21)),
inference(superposition,[],[f337,f261]) ).
fof(f8816,plain,
addition(sF25,sF21) = addition(sF26,sF26),
inference(forward_demodulation,[],[f8799,f5199]) ).
fof(f8821,plain,
! [X0] : addition(sF26,X0) = addition(sF26,addition(sF25,X0)),
inference(forward_demodulation,[],[f8789,f261]) ).
fof(f8826,plain,
sF26 = addition(sF25,sF21),
inference(forward_demodulation,[],[f8816,f41]) ).
fof(f8840,plain,
addition(sF21,sF25) = addition(sF26,sF21),
inference(superposition,[],[f335,f8788]) ).
fof(f8856,plain,
sF26 = addition(sF26,sF21),
inference(forward_demodulation,[],[f8840,f104]) ).
fof(f8874,plain,
! [X0] : addition(sF17,X0) = addition(sF11,addition(X0,sF16)),
inference(superposition,[],[f258,f38]) ).
fof(f8885,plain,
addition(sF16,sF11) = addition(sF16,addition(sF17,sF11)),
inference(superposition,[],[f337,f258]) ).
fof(f8902,plain,
addition(sF16,sF11) = addition(sF17,sF17),
inference(forward_demodulation,[],[f8885,f5178]) ).
fof(f8912,plain,
sF17 = addition(sF16,sF11),
inference(forward_demodulation,[],[f8902,f41]) ).
fof(f9520,plain,
multiplication(sF12,sF16) = multiplication(one,sF16),
inference(superposition,[],[f3689,f5682]) ).
fof(f9521,plain,
multiplication(sF12,sF23) = multiplication(one,sF23),
inference(superposition,[],[f3613,f5682]) ).
fof(f9545,plain,
sF23 = multiplication(sF12,sF23),
inference(forward_demodulation,[],[f9521,f44]) ).
fof(f9546,plain,
sF16 = multiplication(sF12,sF16),
inference(forward_demodulation,[],[f9520,f44]) ).
fof(f11329,plain,
! [X0,X1] : addition(multiplication(one,X0),multiplication(sK5,addition(X0,X1))) = addition(multiplication(one,X0),multiplication(sK5,X1)),
inference(superposition,[],[f6118,f5677]) ).
fof(f11330,plain,
! [X0,X1] : addition(multiplication(one,X0),multiplication(sK6,addition(X0,X1))) = addition(multiplication(one,X0),multiplication(sK6,X1)),
inference(superposition,[],[f6118,f7814]) ).
fof(f11344,plain,
! [X0,X1] : addition(multiplication(one,X0),multiplication(sK6,X1)) = addition(multiplication(sF8,X0),multiplication(sK6,addition(X0,X1))),
inference(superposition,[],[f6118,f362]) ).
fof(f11357,plain,
! [X0,X1] : addition(multiplication(one,X0),multiplication(sK5,X1)) = addition(multiplication(sF12,X0),multiplication(sK5,addition(X0,X1))),
inference(superposition,[],[f6118,f374]) ).
fof(f11358,plain,
! [X0,X1] : addition(multiplication(one,X0),multiplication(one,X1)) = addition(multiplication(sF12,X0),multiplication(one,addition(X0,X1))),
inference(superposition,[],[f6118,f587]) ).
fof(f11911,plain,
! [X0,X1] : addition(multiplication(one,X0),multiplication(one,X1)) = addition(multiplication(sF12,X0),addition(X0,X1)),
inference(forward_demodulation,[],[f11358,f44]) ).
fof(f11912,plain,
! [X0,X1] : addition(X0,multiplication(sK5,X1)) = addition(multiplication(sF12,X0),multiplication(sK5,addition(X0,X1))),
inference(forward_demodulation,[],[f11357,f44]) ).
fof(f11919,plain,
! [X0,X1] : addition(X0,multiplication(sK6,X1)) = addition(multiplication(sF8,X0),multiplication(sK6,addition(X0,X1))),
inference(forward_demodulation,[],[f11344,f44]) ).
fof(f11926,plain,
! [X0,X1] : addition(X0,multiplication(sK6,X1)) = addition(X0,multiplication(sK6,addition(X0,X1))),
inference(forward_demodulation,[],[f11330,f44]) ).
fof(f11927,plain,
! [X0,X1] : addition(X0,multiplication(sK5,X1)) = addition(X0,multiplication(sK5,addition(X0,X1))),
inference(forward_demodulation,[],[f11329,f44]) ).
fof(f12067,plain,
! [X0,X1] : multiplication(one,addition(X0,X1)) = addition(multiplication(sF12,X0),addition(X0,X1)),
inference(forward_demodulation,[],[f11911,f45]) ).
fof(f12142,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(sF12,X0),addition(X0,X1)),
inference(forward_demodulation,[],[f12067,f44]) ).
fof(f12628,plain,
sF26 = addition(multiplication(sF12,sF21),sF26),
inference(superposition,[],[f12142,f104]) ).
fof(f17757,plain,
test(sF8),
inference(resolution,[],[f51,f251]) ).
fof(f17758,plain,
test(sF12),
inference(resolution,[],[f51,f250]) ).
fof(f19441,plain,
( zero != zero
| zero != multiplication(sK6,sF8)
| complement(sF8,sK6)
| one != addition(sK6,sF8) ),
inference(superposition,[],[f55,f769]) ).
fof(f19462,plain,
( zero != zero
| zero != multiplication(sK5,sF12)
| complement(sF12,sK5)
| one != addition(sK5,sF12) ),
inference(superposition,[],[f55,f770]) ).
fof(f19472,plain,
( zero != multiplication(sK5,sF12)
| complement(sF12,sK5)
| one != addition(sK5,sF12) ),
inference(trivial_inequality_removal,[],[f19462]) ).
fof(f19478,plain,
( zero != multiplication(sK6,sF8)
| complement(sF8,sK6)
| one != addition(sK6,sF8) ),
inference(trivial_inequality_removal,[],[f19441]) ).
fof(f19551,plain,
( complement(sF12,sK5)
| one != addition(sK5,sF12) ),
inference(forward_subsumption_resolution,[],[f19472,f1105]) ).
fof(f19656,plain,
( complement(sF8,sK6)
| one != addition(sK6,sF8) ),
inference(forward_subsumption_resolution,[],[f19478,f1104]) ).
fof(f20090,plain,
complement(sF12,sK5),
inference(forward_subsumption_resolution,[],[f19551,f5682]) ).
fof(f20093,plain,
complement(sF8,sK6),
inference(forward_subsumption_resolution,[],[f19656,f7819]) ).
fof(f20187,plain,
( sK6 = c(sF8)
| ~ test(sF8) ),
inference(resolution,[],[f20093,f57]) ).
fof(f20191,plain,
sK6 = c(sF8),
inference(forward_subsumption_resolution,[],[f20187,f17757]) ).
fof(f20193,plain,
( sK5 = c(sF12)
| ~ test(sF12) ),
inference(resolution,[],[f20090,f57]) ).
fof(f20197,plain,
sK5 = c(sF12),
inference(forward_subsumption_resolution,[],[f20193,f17758]) ).
fof(f22314,plain,
! [X0,X1] : addition(zero,multiplication(sK5,X1)) = multiplication(sK5,addition(multiplication(sF16,X0),X1)),
inference(superposition,[],[f45,f3693]) ).
fof(f22356,plain,
! [X0,X1] : multiplication(sK5,X1) = multiplication(sK5,addition(multiplication(sF16,X0),X1)),
inference(forward_demodulation,[],[f22314,f708]) ).
fof(f22400,plain,
! [X0,X1] : addition(zero,multiplication(sK6,X1)) = multiplication(sK6,addition(multiplication(sF25,X0),X1)),
inference(superposition,[],[f45,f2382]) ).
fof(f22442,plain,
! [X0,X1] : multiplication(sK6,X1) = multiplication(sK6,addition(multiplication(sF25,X0),X1)),
inference(forward_demodulation,[],[f22400,f708]) ).
fof(f24888,plain,
multiplication(addition(sF8,one),sF15) = addition(multiplication(sF8,sF14),sF15),
inference(superposition,[],[f785,f7257]) ).
fof(f24897,plain,
addition(sF14,sF15) = multiplication(addition(sF8,one),sF15),
inference(forward_demodulation,[],[f24888,f8181]) ).
fof(f24924,plain,
addition(sF14,sF15) = multiplication(one,sF15),
inference(forward_demodulation,[],[f24897,f583]) ).
fof(f24932,plain,
sF15 = addition(sF14,sF15),
inference(forward_demodulation,[],[f24924,f44]) ).
fof(f24937,plain,
sF15 = addition(sF14,sF13),
inference(forward_demodulation,[],[f24932,f1563]) ).
fof(f25443,plain,
multiplication(addition(sF8,one),sF10) = addition(multiplication(sF8,sF9),sF10),
inference(superposition,[],[f785,f7183]) ).
fof(f25452,plain,
addition(sF9,sF10) = multiplication(addition(sF8,one),sF10),
inference(forward_demodulation,[],[f25443,f8180]) ).
fof(f25479,plain,
addition(sF9,sF10) = multiplication(one,sF10),
inference(forward_demodulation,[],[f25452,f583]) ).
fof(f25487,plain,
sF10 = addition(sF9,sF10),
inference(forward_demodulation,[],[f25479,f44]) ).
fof(f25492,plain,
sF10 = addition(sF9,sF7),
inference(forward_demodulation,[],[f25487,f1564]) ).
fof(f26389,plain,
! [X0] : addition(multiplication(sF12,X0),sF16) = multiplication(sF12,addition(X0,sF16)),
inference(superposition,[],[f45,f9546]) ).
fof(f26431,plain,
! [X0] : multiplication(sF12,addition(X0,sF15)) = multiplication(sF12,addition(X0,sF16)),
inference(forward_demodulation,[],[f26389,f243]) ).
fof(f30396,plain,
! [X0] : multiplication(sF12,multiplication(sF8,X0)) = multiplication(multiplication(sF8,sF12),X0),
inference(superposition,[],[f42,f6850]) ).
fof(f30440,plain,
! [X0] : multiplication(sF8,multiplication(sF12,X0)) = multiplication(sF12,multiplication(sF8,X0)),
inference(forward_demodulation,[],[f30396,f42]) ).
fof(f31388,plain,
multiplication(sF12,sF14) = multiplication(sF12,multiplication(addition(sK5,sF8),sK4)),
inference(superposition,[],[f3014,f161]) ).
fof(f31505,plain,
multiplication(sF12,sF14) = multiplication(sF12,multiplication(sF8,sK4)),
inference(forward_demodulation,[],[f31388,f2976]) ).
fof(f31550,plain,
multiplication(sF12,sF14) = multiplication(sF8,multiplication(sF12,sK4)),
inference(forward_demodulation,[],[f31505,f30440]) ).
fof(f31573,plain,
multiplication(sF8,sF23) = multiplication(sF12,sF14),
inference(forward_demodulation,[],[f31550,f98]) ).
fof(f31593,plain,
! [X0] : multiplication(sF12,addition(sF14,X0)) = addition(multiplication(sF8,sF23),multiplication(sF12,X0)),
inference(superposition,[],[f45,f31573]) ).
fof(f38505,plain,
multiplication(addition(sF12,one),addition(sF15,sK4)) = addition(addition(sF16,sF23),addition(sF15,sK4)),
inference(superposition,[],[f785,f771]) ).
fof(f38520,plain,
multiplication(addition(sF12,one),addition(sF15,sK4)) = addition(sF16,addition(sF23,addition(sF15,sK4))),
inference(forward_demodulation,[],[f38505,f39]) ).
fof(f38560,plain,
multiplication(addition(sF12,one),addition(sF15,sK4)) = addition(sF16,addition(sF15,sK4)),
inference(forward_demodulation,[],[f38520,f6573]) ).
fof(f38590,plain,
addition(sK4,sF15) = multiplication(addition(sF12,one),addition(sF15,sK4)),
inference(forward_demodulation,[],[f38560,f7174]) ).
fof(f38608,plain,
addition(sK4,sF15) = multiplication(addition(sF12,one),addition(sF13,sK4)),
inference(forward_demodulation,[],[f38590,f1124]) ).
fof(f38618,plain,
addition(sK4,sF15) = multiplication(one,addition(sF13,sK4)),
inference(forward_demodulation,[],[f38608,f587]) ).
fof(f38642,plain,
addition(sK4,sF15) = addition(sF13,sK4),
inference(forward_demodulation,[],[f38618,f44]) ).
fof(f38648,plain,
addition(sF24,multiplication(sF12,sF15)) = addition(sF22,multiplication(sF12,addition(sF13,sK4))),
inference(superposition,[],[f642,f38642]) ).
fof(f38697,plain,
addition(sF24,multiplication(sF12,sF15)) = addition(sF24,multiplication(sF12,sF13)),
inference(forward_demodulation,[],[f38648,f5712]) ).
fof(f38701,plain,
addition(sF24,sF16) = addition(sF24,multiplication(sF12,sF13)),
inference(forward_demodulation,[],[f38697,f84]) ).
fof(f38825,plain,
! [X0] : addition(multiplication(sF12,X0),multiplication(sF12,sF16)) = multiplication(sF12,addition(X0,sF17)),
inference(superposition,[],[f45,f8259]) ).
fof(f38868,plain,
! [X0] : multiplication(sF12,addition(X0,sF16)) = multiplication(sF12,addition(X0,sF17)),
inference(forward_demodulation,[],[f38825,f45]) ).
fof(f38884,plain,
! [X0] : multiplication(sF12,addition(X0,sF15)) = multiplication(sF12,addition(X0,sF17)),
inference(forward_demodulation,[],[f38868,f26431]) ).
fof(f40529,plain,
multiplication(multiplication(sK5,sK6),sK5) = multiplication(addition(sF12,sK6),sK5),
inference(superposition,[],[f2911,f8621]) ).
fof(f40602,plain,
multiplication(sK6,sK5) = multiplication(multiplication(sK5,sK6),sK5),
inference(forward_demodulation,[],[f40529,f2911]) ).
fof(f40619,plain,
multiplication(sK6,sK5) = multiplication(sK5,multiplication(sK6,sK5)),
inference(forward_demodulation,[],[f40602,f42]) ).
fof(f41092,plain,
! [X0,X1] : multiplication(addition(multiplication(X0,sK5),X1),sF20) = addition(multiplication(X0,sF18),multiplication(X1,sF20)),
inference(superposition,[],[f316,f3974]) ).
fof(f42610,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sF8)) = multiplication(c(X0),c(sF8)) ),
inference(resolution,[],[f17757,f59]) ).
fof(f42617,plain,
c(addition(sF8,sK5)) = multiplication(c(sF8),sF12),
inference(resolution,[],[f17757,f6786]) ).
fof(f42620,plain,
multiplication(sK6,sF12) = c(addition(sF8,sK5)),
inference(forward_demodulation,[],[f42617,f20191]) ).
fof(f42627,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sF8)) = multiplication(c(X0),sK6) ),
inference(forward_demodulation,[],[f42610,f20191]) ).
fof(f44742,plain,
multiplication(addition(sK5,sK6),sF20) = addition(sF18,sF21),
inference(superposition,[],[f157,f3974]) ).
fof(f45036,plain,
addition(sF12,multiplication(sK6,sK5)) = addition(multiplication(sF8,sF12),multiplication(sK6,one)),
inference(superposition,[],[f11919,f374]) ).
fof(f45073,plain,
addition(sF18,multiplication(sK6,sF19)) = addition(multiplication(sF8,sF18),multiplication(sK6,sF20)),
inference(superposition,[],[f11919,f92]) ).
fof(f45074,plain,
addition(multiplication(sF8,sF18),multiplication(sK6,sF20)) = addition(sF18,multiplication(sK6,sF20)),
inference(superposition,[],[f11919,f591]) ).
fof(f45269,plain,
multiplication(addition(sK5,sK6),sF20) = addition(multiplication(sF8,sF18),multiplication(sK6,sF20)),
inference(forward_demodulation,[],[f45074,f3998]) ).
fof(f45270,plain,
addition(sF18,multiplication(sK6,sF19)) = multiplication(addition(multiplication(sF8,sK5),sK6),sF20),
inference(forward_demodulation,[],[f45073,f41092]) ).
fof(f45305,plain,
addition(multiplication(sF8,sF12),sK6) = addition(sF12,multiplication(sK6,sK5)),
inference(forward_demodulation,[],[f45036,f43]) ).
fof(f45479,plain,
multiplication(addition(sK5,sK6),sF20) = multiplication(addition(multiplication(sF8,sK5),sK6),sF20),
inference(forward_demodulation,[],[f45269,f41092]) ).
fof(f45508,plain,
addition(sF12,sK6) = addition(sF12,multiplication(sK6,sK5)),
inference(forward_demodulation,[],[f45305,f8562]) ).
fof(f45642,plain,
multiplication(addition(sK5,sK6),sF20) = addition(sF18,multiplication(sK6,sF19)),
inference(forward_demodulation,[],[f45479,f45270]) ).
fof(f45749,plain,
addition(sF18,sF21) = addition(sF18,multiplication(sK6,sF19)),
inference(forward_demodulation,[],[f45642,f44742]) ).
fof(f46040,plain,
multiplication(sK5,addition(sF12,sK6)) = multiplication(sK5,multiplication(sK6,sK5)),
inference(superposition,[],[f3404,f45508]) ).
fof(f46104,plain,
multiplication(sK6,sK5) = multiplication(sK5,addition(sF12,sK6)),
inference(forward_demodulation,[],[f46040,f40619]) ).
fof(f46119,plain,
multiplication(sK5,sK6) = multiplication(sK6,sK5),
inference(forward_demodulation,[],[f46104,f3404]) ).
fof(f46143,plain,
! [X0] : multiplication(sK6,multiplication(sK5,X0)) = multiplication(multiplication(sK5,sK6),X0),
inference(superposition,[],[f42,f46119]) ).
fof(f46192,plain,
! [X0] : multiplication(sK6,multiplication(sK5,X0)) = multiplication(sK5,multiplication(sK6,X0)),
inference(forward_demodulation,[],[f46143,f42]) ).
fof(f46364,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sF12)) = multiplication(c(X0),c(sF12)) ),
inference(resolution,[],[f17758,f59]) ).
fof(f46372,plain,
c(addition(sF12,sK6)) = multiplication(c(sF12),sF8),
inference(resolution,[],[f17758,f6787]) ).
fof(f46373,plain,
multiplication(sK5,sF8) = c(addition(sF12,sK6)),
inference(forward_demodulation,[],[f46372,f20197]) ).
fof(f46381,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sF12)) = multiplication(c(X0),sK5) ),
inference(forward_demodulation,[],[f46364,f20197]) ).
fof(f46401,plain,
multiplication(sF12,sF25) = multiplication(sF12,multiplication(addition(sK5,sF8),sF24)),
inference(superposition,[],[f3014,f241]) ).
fof(f46481,plain,
multiplication(sF12,sF25) = multiplication(sF12,multiplication(sF8,sF24)),
inference(forward_demodulation,[],[f46401,f2976]) ).
fof(f46506,plain,
multiplication(sF12,sF25) = multiplication(sF8,multiplication(sF12,sF24)),
inference(forward_demodulation,[],[f46481,f30440]) ).
fof(f46521,plain,
multiplication(sF12,sF25) = multiplication(sF8,multiplication(sF12,sF23)),
inference(forward_demodulation,[],[f46506,f8182]) ).
fof(f46525,plain,
multiplication(sF8,sF23) = multiplication(sF12,sF25),
inference(forward_demodulation,[],[f46521,f9545]) ).
fof(f46539,plain,
! [X0] : addition(multiplication(sF8,sF23),multiplication(sF12,X0)) = multiplication(sF12,addition(sF25,X0)),
inference(superposition,[],[f45,f46525]) ).
fof(f46589,plain,
! [X0] : multiplication(sF12,addition(sF14,X0)) = multiplication(sF12,addition(sF25,X0)),
inference(forward_demodulation,[],[f46539,f31593]) ).
fof(f46635,plain,
multiplication(addition(sK6,sK5),sF10) = addition(sF7,sF11),
inference(superposition,[],[f153,f2662]) ).
fof(f46647,plain,
multiplication(sK6,sF11) = multiplication(sK6,multiplication(addition(sF8,sK5),sF10)),
inference(superposition,[],[f2342,f153]) ).
fof(f46720,plain,
multiplication(sK6,sF11) = multiplication(sK6,multiplication(sK5,sF10)),
inference(forward_demodulation,[],[f46647,f2255]) ).
fof(f46746,plain,
multiplication(sK6,sF11) = multiplication(sK5,multiplication(sK6,sF10)),
inference(forward_demodulation,[],[f46720,f46192]) ).
fof(f46761,plain,
multiplication(sK5,sF7) = multiplication(sK6,sF11),
inference(forward_demodulation,[],[f46746,f2662]) ).
fof(f46775,plain,
! [X0] : multiplication(sK6,addition(sF11,X0)) = addition(multiplication(sK5,sF7),multiplication(sK6,X0)),
inference(superposition,[],[f45,f46761]) ).
fof(f46926,plain,
addition(sF7,multiplication(sK5,sF9)) = addition(sF7,multiplication(sK5,sF10)),
inference(superposition,[],[f11927,f72]) ).
fof(f47346,plain,
multiplication(addition(sK6,sK5),sF10) = addition(sF7,multiplication(sK5,sF9)),
inference(forward_demodulation,[],[f46926,f2686]) ).
fof(f47543,plain,
addition(sF7,sF11) = addition(sF7,multiplication(sK5,sF9)),
inference(forward_demodulation,[],[f47346,f46635]) ).
fof(f48905,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(sK6,sF18)) = addition(multiplication(sK5,X0),multiplication(sK6,multiplication(sK5,addition(X0,sK1)))),
inference(superposition,[],[f11926,f147]) ).
fof(f49406,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(sK6,sF18)) = addition(multiplication(sK5,X0),multiplication(sK5,multiplication(sK6,addition(X0,sK1)))),
inference(forward_demodulation,[],[f48905,f46192]) ).
fof(f49603,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(sK6,sF18)) = multiplication(sK5,addition(X0,multiplication(sK6,addition(X0,sK1)))),
inference(forward_demodulation,[],[f49406,f45]) ).
fof(f49745,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(sK6,sF18)) = multiplication(sK5,addition(X0,multiplication(sK6,sK1))),
inference(forward_demodulation,[],[f49603,f11926]) ).
fof(f49805,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(sK6,sF18)) = multiplication(sK5,addition(X0,sF7)),
inference(forward_demodulation,[],[f49745,f66]) ).
fof(f71416,plain,
c(addition(sK5,sF8)) = multiplication(c(sK5),sK6),
inference(resolution,[],[f42627,f62]) ).
fof(f71423,plain,
multiplication(sF12,sK6) = c(addition(sK5,sF8)),
inference(forward_demodulation,[],[f71416,f76]) ).
fof(f71442,plain,
multiplication(sF12,sK6) = c(addition(sF8,sK5)),
inference(superposition,[],[f71423,f38]) ).
fof(f71459,plain,
multiplication(sF12,sK6) = multiplication(sK6,sF12),
inference(forward_demodulation,[],[f71442,f42620]) ).
fof(f71475,plain,
! [X0] : multiplication(sK6,multiplication(sF12,X0)) = multiplication(multiplication(sF12,sK6),X0),
inference(superposition,[],[f42,f71459]) ).
fof(f71524,plain,
! [X0] : multiplication(sF12,multiplication(sK6,X0)) = multiplication(sK6,multiplication(sF12,X0)),
inference(forward_demodulation,[],[f71475,f42]) ).
fof(f71998,plain,
addition(sF24,multiplication(sK6,multiplication(sF12,sF13))) = addition(sF24,multiplication(sK6,addition(sF24,sF16))),
inference(superposition,[],[f11926,f38701]) ).
fof(f72018,plain,
addition(sF24,multiplication(sK6,multiplication(sF12,sF13))) = addition(sF24,multiplication(sK6,sF16)),
inference(forward_demodulation,[],[f71998,f11926]) ).
fof(f72051,plain,
addition(sF24,multiplication(sK6,sF16)) = addition(sF24,multiplication(sF12,multiplication(sK6,sF13))),
inference(forward_demodulation,[],[f72018,f71524]) ).
fof(f72063,plain,
addition(sF24,multiplication(sF12,sF13)) = addition(sF24,multiplication(sK6,sF16)),
inference(forward_demodulation,[],[f72051,f1957]) ).
fof(f72065,plain,
addition(sF24,sF16) = addition(sF24,multiplication(sK6,sF16)),
inference(forward_demodulation,[],[f72063,f38701]) ).
fof(f75077,plain,
c(addition(sK6,sF12)) = multiplication(c(sK6),sK5),
inference(resolution,[],[f46381,f61]) ).
fof(f75082,plain,
multiplication(sF8,sK5) = c(addition(sK6,sF12)),
inference(forward_demodulation,[],[f75077,f68]) ).
fof(f75112,plain,
multiplication(sF8,sK5) = c(addition(sF12,sK6)),
inference(superposition,[],[f75082,f38]) ).
fof(f75129,plain,
multiplication(sK5,sF8) = multiplication(sF8,sK5),
inference(forward_demodulation,[],[f75112,f46373]) ).
fof(f75145,plain,
! [X0] : multiplication(sK5,multiplication(sF8,X0)) = multiplication(multiplication(sF8,sK5),X0),
inference(superposition,[],[f42,f75129]) ).
fof(f75194,plain,
! [X0] : multiplication(sF8,multiplication(sK5,X0)) = multiplication(sK5,multiplication(sF8,X0)),
inference(forward_demodulation,[],[f75145,f42]) ).
fof(f76648,plain,
multiplication(sF8,sF24) = multiplication(sF8,addition(sF24,sF16)),
inference(superposition,[],[f1816,f72065]) ).
fof(f76719,plain,
sF25 = multiplication(sF8,addition(sF24,sF16)),
inference(forward_demodulation,[],[f76648,f102]) ).
fof(f88613,plain,
! [X0] : addition(multiplication(sF8,sF24),multiplication(addition(sF8,X0),sF16)) = addition(sF25,multiplication(X0,sF16)),
inference(superposition,[],[f412,f76719]) ).
fof(f88663,plain,
! [X0] : addition(sF25,multiplication(X0,sF16)) = addition(sF25,multiplication(addition(sF8,X0),sF16)),
inference(forward_demodulation,[],[f88613,f102]) ).
fof(f92850,plain,
addition(sF25,multiplication(one,sF16)) = addition(sF25,multiplication(sK6,sF16)),
inference(superposition,[],[f88663,f362]) ).
fof(f92962,plain,
addition(sF25,sF16) = addition(sF25,multiplication(sK6,sF16)),
inference(forward_demodulation,[],[f92850,f44]) ).
fof(f93014,plain,
addition(sF26,multiplication(sK6,sF16)) = addition(sF21,addition(sF25,sF16)),
inference(superposition,[],[f261,f92962]) ).
fof(f93103,plain,
addition(sF26,multiplication(sK6,sF16)) = addition(sF26,sF16),
inference(forward_demodulation,[],[f93014,f261]) ).
fof(f97430,plain,
addition(zero,multiplication(sK6,sF18)) = multiplication(sK5,addition(zero,sF7)),
inference(superposition,[],[f49805,f47]) ).
fof(f97552,plain,
multiplication(sK5,sF7) = addition(zero,multiplication(sK6,sF18)),
inference(forward_demodulation,[],[f97430,f708]) ).
fof(f97642,plain,
multiplication(sK5,sF7) = multiplication(sK6,sF18),
inference(forward_demodulation,[],[f97552,f708]) ).
fof(f97864,plain,
! [X0] : addition(multiplication(sK5,sF7),multiplication(sK6,X0)) = multiplication(sK6,addition(sF18,X0)),
inference(superposition,[],[f45,f97642]) ).
fof(f97918,plain,
! [X0] : multiplication(sK6,addition(sF11,X0)) = multiplication(sK6,addition(sF18,X0)),
inference(forward_demodulation,[],[f97864,f46775]) ).
fof(f137510,definition,
( spl27_1114
<=> sF26 = addition(sF26,sF16) ),
introduced(definition,[new_symbols(definition,[spl27_1114])],[avatar_definition]) ).
fof(f137511,plain,
( sF26 = addition(sF26,sF16)
| ~ spl27_1114 ),
inference(avatar_component_clause,[],[f137510]) ).
fof(f137512,plain,
( sF26 != addition(sF26,sF16)
| spl27_1114 ),
inference(avatar_component_clause,[],[f137510]) ).
fof(f138531,plain,
multiplication(sK6,sF19) = multiplication(sK6,multiplication(addition(sF25,sF12),sK3)),
inference(superposition,[],[f22442,f173]) ).
fof(f138539,plain,
multiplication(sK6,sF16) = multiplication(sK6,multiplication(addition(sF25,sF12),sF15)),
inference(superposition,[],[f22442,f245]) ).
fof(f138723,plain,
multiplication(sK6,sF16) = multiplication(sK6,multiplication(sF12,sF15)),
inference(forward_demodulation,[],[f138539,f3351]) ).
fof(f138731,plain,
multiplication(sK6,sF19) = multiplication(sK6,multiplication(sF12,sK3)),
inference(forward_demodulation,[],[f138531,f3351]) ).
fof(f138797,plain,
multiplication(sK6,sF16) = multiplication(sF12,multiplication(sK6,sF15)),
inference(forward_demodulation,[],[f138723,f71524]) ).
fof(f138801,plain,
multiplication(sF12,multiplication(sK6,sK3)) = multiplication(sK6,sF19),
inference(forward_demodulation,[],[f138731,f71524]) ).
fof(f138827,plain,
multiplication(sF12,sF13) = multiplication(sK6,sF16),
inference(forward_demodulation,[],[f138797,f2739]) ).
fof(f138830,plain,
multiplication(sF12,sF13) = multiplication(sK6,sF19),
inference(forward_demodulation,[],[f138801,f78]) ).
fof(f138854,plain,
addition(sF18,multiplication(sF12,sF13)) = addition(sF18,sF21),
inference(superposition,[],[f45749,f138830]) ).
fof(f138869,plain,
! [X0] : multiplication(sK6,addition(X0,sF19)) = addition(multiplication(sK6,X0),multiplication(sF12,sF13)),
inference(superposition,[],[f45,f138830]) ).
fof(f138964,plain,
addition(sF26,sF16) = addition(sF26,multiplication(sF12,sF13)),
inference(superposition,[],[f93103,f138827]) ).
fof(f138979,plain,
! [X0] : multiplication(sK6,addition(X0,sF16)) = addition(multiplication(sK6,X0),multiplication(sF12,sF13)),
inference(superposition,[],[f45,f138827]) ).
fof(f139037,plain,
! [X0] : multiplication(sK6,addition(X0,sF16)) = multiplication(sK6,addition(X0,sF19)),
inference(forward_demodulation,[],[f138979,f138869]) ).
fof(f139341,plain,
multiplication(sK6,sF20) = multiplication(sK6,addition(sF18,sF16)),
inference(superposition,[],[f139037,f92]) ).
fof(f139500,plain,
multiplication(sK6,sF20) = multiplication(sK6,addition(sF11,sF16)),
inference(forward_demodulation,[],[f139341,f97918]) ).
fof(f139546,plain,
multiplication(sK6,sF20) = multiplication(sK6,sF17),
inference(forward_demodulation,[],[f139500,f86]) ).
fof(f139566,plain,
sF21 = multiplication(sK6,sF17),
inference(forward_demodulation,[],[f139546,f94]) ).
fof(f139616,plain,
multiplication(addition(one,sK6),sF17) = addition(sF17,sF21),
inference(superposition,[],[f786,f139566]) ).
fof(f139633,plain,
multiplication(one,sF17) = addition(sF17,sF21),
inference(forward_demodulation,[],[f139616,f7814]) ).
fof(f139650,plain,
sF17 = addition(sF17,sF21),
inference(forward_demodulation,[],[f139633,f44]) ).
fof(f139685,plain,
! [X0] : addition(X0,sF17) = addition(sF17,addition(X0,sF21)),
inference(superposition,[],[f269,f139650]) ).
fof(f141698,plain,
addition(sF17,sF26) = addition(sF25,sF17),
inference(superposition,[],[f139685,f8826]) ).
fof(f141854,plain,
addition(sF25,sF17) = addition(sF26,addition(sF25,sF17)),
inference(superposition,[],[f572,f141698]) ).
fof(f141897,plain,
addition(sF26,sF17) = addition(sF25,sF17),
inference(forward_demodulation,[],[f141854,f8821]) ).
fof(f145786,plain,
multiplication(sF12,multiplication(sF12,sF13)) = multiplication(sF12,addition(sF18,sF21)),
inference(superposition,[],[f3069,f138854]) ).
fof(f145873,plain,
multiplication(sF12,sF21) = multiplication(sF12,multiplication(sF12,sF13)),
inference(forward_demodulation,[],[f145786,f3069]) ).
fof(f145890,plain,
multiplication(sF12,sF13) = multiplication(sF12,sF21),
inference(forward_demodulation,[],[f145873,f7409]) ).
fof(f145915,plain,
sF26 = addition(multiplication(sF12,sF13),sF26),
inference(superposition,[],[f12628,f145890]) ).
fof(f149785,plain,
multiplication(sK5,sF9) = multiplication(sK5,multiplication(addition(sF16,sF8),sK2)),
inference(superposition,[],[f22356,f165]) ).
fof(f149799,plain,
multiplication(sK5,sF25) = multiplication(sK5,multiplication(addition(sF16,sF8),sF24)),
inference(superposition,[],[f22356,f241]) ).
fof(f149977,plain,
multiplication(sK5,sF25) = multiplication(sK5,multiplication(sF8,sF24)),
inference(forward_demodulation,[],[f149799,f4292]) ).
fof(f149991,plain,
multiplication(sK5,sF9) = multiplication(sK5,multiplication(sF8,sK2)),
inference(forward_demodulation,[],[f149785,f4292]) ).
fof(f150051,plain,
multiplication(sK5,sF25) = multiplication(sF8,multiplication(sK5,sF24)),
inference(forward_demodulation,[],[f149977,f75194]) ).
fof(f150057,plain,
multiplication(sF8,multiplication(sK5,sK2)) = multiplication(sK5,sF9),
inference(forward_demodulation,[],[f149991,f75194]) ).
fof(f150078,plain,
multiplication(sF8,sF22) = multiplication(sK5,sF25),
inference(forward_demodulation,[],[f150051,f3897]) ).
fof(f150080,plain,
multiplication(sF8,sF22) = multiplication(sK5,sF9),
inference(forward_demodulation,[],[f150057,f96]) ).
fof(f151723,plain,
addition(sF7,multiplication(sF8,sF22)) = addition(sF7,sF11),
inference(superposition,[],[f47543,f150080]) ).
fof(f151738,plain,
! [X0] : multiplication(sK5,addition(sF9,X0)) = addition(multiplication(sF8,sF22),multiplication(sK5,X0)),
inference(superposition,[],[f45,f150080]) ).
fof(f152235,plain,
! [X0] : multiplication(sK5,addition(sF25,X0)) = addition(multiplication(sF8,sF22),multiplication(sK5,X0)),
inference(superposition,[],[f45,f150078]) ).
fof(f152295,plain,
! [X0] : multiplication(sK5,addition(sF9,X0)) = multiplication(sK5,addition(sF25,X0)),
inference(forward_demodulation,[],[f152235,f151738]) ).
fof(f152725,plain,
addition(sF26,multiplication(sK5,sF17)) = addition(multiplication(sF12,sF26),multiplication(sK5,addition(sF25,sF17))),
inference(superposition,[],[f11912,f141897]) ).
fof(f152747,plain,
addition(sF26,multiplication(sK5,sF17)) = addition(multiplication(sF12,sF26),multiplication(sK5,addition(sF9,sF17))),
inference(forward_demodulation,[],[f152725,f152295]) ).
fof(f152762,plain,
addition(sF26,multiplication(sK5,sF17)) = addition(multiplication(sF12,sF26),multiplication(sK5,addition(sF9,sF10))),
inference(forward_demodulation,[],[f152747,f3848]) ).
fof(f152772,plain,
addition(sF26,multiplication(sK5,sF17)) = addition(multiplication(sF12,sF26),multiplication(sK5,addition(sF9,sF7))),
inference(forward_demodulation,[],[f152762,f1564]) ).
fof(f152778,plain,
addition(sF26,multiplication(sK5,sF17)) = addition(multiplication(sF12,sF26),multiplication(sK5,sF10)),
inference(forward_demodulation,[],[f152772,f25492]) ).
fof(f152783,plain,
addition(multiplication(sF12,sF26),sF11) = addition(sF26,multiplication(sK5,sF17)),
inference(forward_demodulation,[],[f152778,f74]) ).
fof(f152785,plain,
addition(sF26,sF11) = addition(multiplication(sF12,sF26),sF11),
inference(forward_demodulation,[],[f152783,f3819]) ).
fof(f153405,plain,
multiplication(sF8,multiplication(sF8,sF22)) = multiplication(sF8,addition(sF7,sF11)),
inference(superposition,[],[f1845,f151723]) ).
fof(f153495,plain,
multiplication(sF8,sF11) = multiplication(sF8,multiplication(sF8,sF22)),
inference(forward_demodulation,[],[f153405,f1845]) ).
fof(f153514,plain,
multiplication(sF8,sF11) = multiplication(sF8,sF22),
inference(forward_demodulation,[],[f153495,f6617]) ).
fof(f153961,plain,
addition(multiplication(sF8,sF11),sF25) = multiplication(sF8,addition(sF22,sF24)),
inference(superposition,[],[f239,f153514]) ).
fof(f154042,plain,
multiplication(sF8,sF24) = addition(multiplication(sF8,sF11),sF25),
inference(forward_demodulation,[],[f153961,f595]) ).
fof(f154055,plain,
multiplication(sF8,sF24) = multiplication(sF8,addition(sF11,sF24)),
inference(forward_demodulation,[],[f154042,f239]) ).
fof(f154061,plain,
sF25 = multiplication(sF8,addition(sF11,sF24)),
inference(forward_demodulation,[],[f154055,f102]) ).
fof(f154081,plain,
! [X0] : addition(sF25,multiplication(X0,sF11)) = addition(multiplication(sF8,sF24),multiplication(addition(sF8,X0),sF11)),
inference(superposition,[],[f448,f154061]) ).
fof(f154137,plain,
! [X0] : addition(sF25,multiplication(X0,sF11)) = addition(sF25,multiplication(addition(sF8,X0),sF11)),
inference(forward_demodulation,[],[f154081,f102]) ).
fof(f155093,plain,
addition(sF25,multiplication(sK6,sF11)) = addition(sF25,multiplication(one,sF11)),
inference(superposition,[],[f154137,f362]) ).
fof(f155229,plain,
addition(sF25,sF11) = addition(sF25,multiplication(sK6,sF11)),
inference(forward_demodulation,[],[f155093,f44]) ).
fof(f155260,plain,
addition(sF25,sF11) = addition(sF25,multiplication(sK5,sF7)),
inference(forward_demodulation,[],[f155229,f46761]) ).
fof(f155309,plain,
addition(sF26,multiplication(sK5,sF7)) = addition(sF21,addition(sF25,sF11)),
inference(superposition,[],[f261,f155260]) ).
fof(f155408,plain,
addition(sF26,sF11) = addition(sF26,multiplication(sK5,sF7)),
inference(forward_demodulation,[],[f155309,f261]) ).
fof(f169582,plain,
sF26 = addition(sF26,multiplication(sF12,sF13)),
inference(superposition,[],[f145915,f38]) ).
fof(f169708,plain,
sF26 = addition(sF26,sF16),
inference(forward_demodulation,[],[f169582,f138964]) ).
fof(f169734,plain,
( $false
| spl27_1114 ),
inference(forward_subsumption_resolution,[],[f169708,f137512]) ).
fof(f169735,plain,
spl27_1114,
inference(avatar_contradiction_clause,[],[f169734]) ).
fof(f169756,plain,
( addition(sF11,sF26) = addition(sF17,sF26)
| ~ spl27_1114 ),
inference(superposition,[],[f8874,f137511]) ).
fof(f169855,plain,
( addition(sF11,sF26) = addition(sF25,sF17)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f169756,f141698]) ).
fof(f169895,plain,
( multiplication(sF12,addition(sF11,sF26)) = multiplication(sF12,addition(sF14,sF17))
| ~ spl27_1114 ),
inference(superposition,[],[f46589,f169855]) ).
fof(f169992,plain,
( multiplication(sF12,addition(sF14,sF15)) = multiplication(sF12,addition(sF11,sF26))
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f169895,f38884]) ).
fof(f170011,plain,
( multiplication(sF12,sF26) = multiplication(sF12,addition(sF14,sF15))
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f169992,f3096]) ).
fof(f170019,plain,
( multiplication(sF12,sF26) = multiplication(sF12,addition(sF14,sF13))
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170011,f1563]) ).
fof(f170023,plain,
( multiplication(sF12,sF15) = multiplication(sF12,sF26)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170019,f24937]) ).
fof(f170026,plain,
( sF16 = multiplication(sF12,sF26)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170023,f84]) ).
fof(f170214,definition,
( spl27_1266
<=> sF17 = sF26 ),
introduced(definition,[new_symbols(definition,[spl27_1266])],[avatar_definition]) ).
fof(f170215,plain,
( sF17 = sF26
| ~ spl27_1266 ),
inference(avatar_component_clause,[],[f170214]) ).
fof(f170273,plain,
( addition(sF16,sF11) = addition(sF26,sF11)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f152785,f170026]) ).
fof(f170281,plain,
( sF17 = addition(sF26,sF11)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170273,f8912]) ).
fof(f170345,plain,
( addition(sF26,multiplication(sK6,sF11)) = addition(sF26,multiplication(sK6,sF17))
| ~ spl27_1114 ),
inference(superposition,[],[f11926,f170281]) ).
fof(f170371,plain,
( addition(sF26,sF21) = addition(sF26,multiplication(sK6,sF11))
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170345,f139566]) ).
fof(f170403,plain,
( addition(sF26,sF21) = addition(sF26,multiplication(sK5,sF7))
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170371,f46761]) ).
fof(f170416,plain,
( addition(sF26,sF21) = addition(sF26,sF11)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170403,f155408]) ).
fof(f170425,plain,
( sF17 = addition(sF26,sF21)
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170416,f170281]) ).
fof(f170431,plain,
( sF17 = sF26
| ~ spl27_1114 ),
inference(forward_demodulation,[],[f170425,f8856]) ).
fof(f170434,plain,
( spl27_1266
| ~ spl27_1114 ),
inference(avatar_split_clause,[],[f170431,f137510,f170214]) ).
fof(f170439,plain,
( ~ leq(sF17,sF17)
| spl27_2
| ~ spl27_1266 ),
inference(superposition,[],[f113,f170215]) ).
fof(f170498,plain,
( $false
| spl27_2
| ~ spl27_1266 ),
inference(forward_subsumption_resolution,[],[f170439,f340]) ).
fof(f170499,plain,
( spl27_2
| ~ spl27_1266 ),
inference(avatar_contradiction_clause,[],[f170498]) ).
fof(f170503,plain,
( ~ leq(sF17,sF17)
| spl27_1
| ~ spl27_1266 ),
inference(forward_demodulation,[],[f109,f170215]) ).
fof(f170509,plain,
( $false
| spl27_1
| ~ spl27_1266 ),
inference(forward_subsumption_resolution,[],[f170503,f340]) ).
fof(f170510,plain,
( spl27_1
| ~ spl27_1266 ),
inference(avatar_contradiction_clause,[],[f170509]) ).
cnf(s1,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f114]) ).
cnf(s757,plain,
spl27_1114,
inference(sat_conversion,[],[f169735]) ).
cnf(s781,plain,
( ~ spl27_1114
| spl27_1266 ),
inference(sat_conversion,[],[f170434]) ).
cnf(s784,plain,
( spl27_2
| ~ spl27_1266 ),
inference(sat_conversion,[],[f170499]) ).
cnf(s785,plain,
( spl27_1
| ~ spl27_1266 ),
inference(sat_conversion,[],[f170510]) ).
cnf(s786,plain,
spl27_1266,
inference(rat,[],[s781,s757]) ).
cnf(s791,plain,
spl27_1,
inference(rat,[],[s785,s786]) ).
cnf(s792,plain,
spl27_2,
inference(rat,[],[s784,s786]) ).
cnf(s799,plain,
$false,
inference(rat,[],[s1,s792,s791]) ).
fof(f170515,plain,
$false,
inference(avatar_sat_refutation,[],[s799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE028+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:04:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.73/3.08 % (799968)Detected formulas, will run a generic FOF schedule.
% 15.73/3.08 % (799973)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=895291987:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.73/3.08 % (799975)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=170956104:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.73/3.08 % (799976)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2790702252:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.73/3.08 % (799974)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1384631394:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.73/3.08 % (799976)Refutation not found, incomplete strategy
% 15.73/3.08 % (799976)------------------------------
% 15.73/3.08 % (799976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.08 % (799976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.08 % (799976)CaDiCaL version: 2.1.3
% 15.73/3.08 % (799976)Termination reason: Refutation not found, incomplete strategy
% 15.73/3.08 % (799976)Time elapsed: 0.002 s
% 15.73/3.08 % (799976)Peak memory usage: 88 MB
% 15.73/3.08 % (799976)Instructions burned: 1 (million)
% 15.73/3.08 % (799977)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1361482821:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.73/3.08 % (799978)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3807392806:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.73/3.08 % (799979)dis-21_1_sil=8000:lcm=predicate:random_seed=551978617:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 15.73/3.08 % (799979)Refutation not found, incomplete strategy
% 15.73/3.08 % (799979)------------------------------
% 15.73/3.08 % (799979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.08 % (799979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.08 % (799979)CaDiCaL version: 2.1.3
% 15.73/3.08 % (799979)Termination reason: Refutation not found, incomplete strategy
% 15.73/3.08 % (799979)Time elapsed: 0.003 s
% 15.73/3.08 % (799979)Peak memory usage: 88 MB
% 15.73/3.08 % (799979)Instructions burned: 2 (million)
% 15.73/3.08 % (799977)Instruction limit reached!
% 15.73/3.08 % (799977)------------------------------
% 15.73/3.08 % (799977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.08 % (799977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.08 % (799977)CaDiCaL version: 2.1.3
% 15.73/3.08 % (799977)Termination reason: Instruction limit
% 15.73/3.08 % (799977)Termination phase: Saturation
% 15.73/3.08 % (799977)Time elapsed: 0.067 s
% 15.73/3.08 % (799977)Peak memory usage: 89 MB
% 15.73/3.08 % (799977)Instructions burned: 120 (million)
% 15.73/3.08 % (799978)Instruction limit reached!
% 15.73/3.08 % (799978)------------------------------
% 15.73/3.08 % (799978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.08 % (799978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.08 % (799978)CaDiCaL version: 2.1.3
% 15.73/3.08 % (799978)Termination reason: Instruction limit
% 15.73/3.08 % (799978)Termination phase: Saturation
% 15.73/3.08 % (799978)Time elapsed: 0.083 s
% 15.73/3.08 % (799978)Peak memory usage: 90 MB
% 15.73/3.08 % (799978)Instructions burned: 141 (million)
% 15.73/3.08 % (799987)lrs+10_1_sil=8000:sp=occurrence:random_seed=3054263072:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.73/3.08 % (799976)------------------------------
% 15.73/3.08 % (799976)------------------------------
% 15.73/3.08 % (799988)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3453705896:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.73/3.08 % (799979)------------------------------
% 15.73/3.08 % (799979)------------------------------
% 15.73/3.08 % (799988)Instruction limit reached!
% 15.73/3.08 % (799988)------------------------------
% 15.73/3.08 % (799988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.08 % (799988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.00 % (799988)CaDiCaL version: 2.1.3
% 21.39/4.00 % (799988)Termination reason: Instruction limit
% 21.39/4.00 % (799988)Termination phase: Saturation
% 21.39/4.00 % (799988)Time elapsed: 0.095 s
% 21.39/4.00 % (799988)Peak memory usage: 90 MB
% 21.39/4.00 % (799988)Instructions burned: 158 (million)
% 21.39/4.00 % (799987)Instruction limit reached!
% 21.39/4.00 % (799987)------------------------------
% 21.39/4.00 % (799987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.00 % (799987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.00 % (799987)CaDiCaL version: 2.1.3
% 21.39/4.00 % (799987)Termination reason: Instruction limit
% 21.39/4.00 % (799987)Termination phase: Saturation
% 21.39/4.00 % (799987)Time elapsed: 0.176 s
% 21.39/4.00 % (799987)Peak memory usage: 91 MB
% 21.39/4.00 % (799987)Instructions burned: 285 (million)
% 21.39/4.00 % (799991)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2578915303:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 21.39/4.00 % (799992)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1633347477:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.39/4.00 % (799993)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2110294156:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 21.39/4.00 % (799994)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2577330594:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.39/4.00 % (799992)Instruction limit reached!
% 21.39/4.00 % (799992)------------------------------
% 21.39/4.00 % (799992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.00 % (799992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.00 % (799992)CaDiCaL version: 2.1.3
% 21.39/4.00 % (799992)Termination reason: Instruction limit
% 21.39/4.00 % (799992)Termination phase: Saturation
% 21.39/4.00 % (799992)Time elapsed: 0.154 s
% 21.39/4.00 % (799992)Peak memory usage: 92 MB
% 21.39/4.00 % (799992)Instructions burned: 248 (million)
% 21.39/4.00 % (799991)Instruction limit reached!
% 21.39/4.00 % (799991)------------------------------
% 21.39/4.00 % (799991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.00 % (799991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.00 % (799991)CaDiCaL version: 2.1.3
% 21.39/4.00 % (799991)Termination reason: Instruction limit
% 21.39/4.00 % (799991)Termination phase: Saturation
% 21.39/4.00 % (799991)Time elapsed: 0.193 s
% 21.39/4.00 % (799991)Peak memory usage: 92 MB
% 21.39/4.00 % (799991)Instructions burned: 326 (million)
% 21.39/4.00 % (799993)Instruction limit reached!
% 21.39/4.00 % (799993)------------------------------
% 21.39/4.00 % (799993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.00 % (799993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.00 % (799993)CaDiCaL version: 2.1.3
% 21.39/4.00 % (799993)Termination reason: Instruction limit
% 21.39/4.00 % (799993)Termination phase: Saturation
% 21.39/4.00 % (799993)Time elapsed: 0.160 s
% 21.39/4.00 % (799993)Peak memory usage: 90 MB
% 21.39/4.00 % (799993)Instructions burned: 295 (million)
% 21.39/4.00 % (799999)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1522708484:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 21.39/4.00 % (800000)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3657926803:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 21.39/4.00 % (799999)Instruction limit reached!
% 21.39/4.00 % (799999)------------------------------
% 21.39/4.00 % (799999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.00 % (799999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.00 % (799999)CaDiCaL version: 2.1.3
% 21.39/4.00 % (799999)Termination reason: Instruction limit
% 21.39/4.00 % (799999)Termination phase: Saturation
% 21.39/4.00 % (799999)Time elapsed: 0.072 s
% 21.39/4.00 % (799999)Peak memory usage: 90 MB
% 21.39/4.00 % (799999)Instructions burned: 114 (million)
% 21.39/4.00 % (800001)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1485655247:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 21.39/4.00 % (800000)Instruction limit reached!
% 21.39/4.00 % (800000)------------------------------
% 21.39/4.00 % (800000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.35 % (800000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.35 % (800000)CaDiCaL version: 2.1.3
% 45.89/7.35 % (800000)Termination reason: Instruction limit
% 45.89/7.35 % (800000)Termination phase: Saturation
% 45.89/7.35 % (800000)Time elapsed: 0.052 s
% 45.89/7.35 % (800000)Peak memory usage: 88 MB
% 45.89/7.35 % (800000)Instructions burned: 128 (million)
% 45.89/7.35 % (800001)Instruction limit reached!
% 45.89/7.35 % (800001)------------------------------
% 45.89/7.35 % (800001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.35 % (800001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.35 % (800001)CaDiCaL version: 2.1.3
% 45.89/7.35 % (800001)Termination reason: Instruction limit
% 45.89/7.35 % (800001)Termination phase: Saturation
% 45.89/7.35 % (800001)Time elapsed: 0.063 s
% 45.89/7.35 % (800001)Peak memory usage: 89 MB
% 45.89/7.35 % (800001)Instructions burned: 114 (million)
% 45.89/7.35 % (800004)lrs+10_1_sil=8000:sp=occurrence:random_seed=1125141905:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 45.89/7.35 % (800006)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1595370889:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 45.89/7.35 % (800006)Refutation not found, incomplete strategy
% 45.89/7.35 % (800006)------------------------------
% 45.89/7.35 % (800006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.35 % (800006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.35 % (800006)CaDiCaL version: 2.1.3
% 45.89/7.35 % (800006)Termination reason: Refutation not found, incomplete strategy
% 45.89/7.35 % (800006)Time elapsed: 0.002 s
% 45.89/7.35 % (800006)Peak memory usage: 88 MB
% 45.89/7.35 % (800006)Instructions burned: 1 (million)
% 45.89/7.35 % (800007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1501240786:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 45.89/7.35 % (800006)------------------------------
% 45.89/7.35 % (800006)------------------------------
% 45.89/7.35 % (800011)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=40786893:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 45.89/7.35 % (800011)Refutation not found, incomplete strategy
% 45.89/7.35 % (800011)------------------------------
% 45.89/7.35 % (800011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.35 % (800011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.35 % (800011)CaDiCaL version: 2.1.3
% 45.89/7.35 % (800011)Termination reason: Refutation not found, incomplete strategy
% 45.89/7.35 % (800011)Time elapsed: 0.003 s
% 45.89/7.35 % (800011)Peak memory usage: 89 MB
% 45.89/7.35 % (800011)Instructions burned: 3 (million)
% 45.89/7.35 % (800004)Instruction limit reached!
% 45.89/7.35 % (800004)------------------------------
% 45.89/7.35 % (800004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.35 % (800004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.35 % (800004)CaDiCaL version: 2.1.3
% 45.89/7.35 % (800004)Termination reason: Instruction limit
% 45.89/7.35 % (800004)Termination phase: Saturation
% 45.89/7.35 % (800004)Time elapsed: 0.513 s
% 45.89/7.35 % (800004)Peak memory usage: 95 MB
% 45.89/7.35 % (800004)Instructions burned: 907 (million)
% 45.89/7.35 % (800011)------------------------------
% 45.89/7.35 % (800011)------------------------------
% 45.89/7.35 % (800013)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2005230456:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 45.89/7.35 % (800013)Refutation not found, incomplete strategy
% 45.89/7.35 % (800013)------------------------------
% 45.89/7.35 % (800013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.35 % (800013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.35 % (800013)CaDiCaL version: 2.1.3
% 45.89/7.35 % (800013)Termination reason: Refutation not found, incomplete strategy
% 45.89/7.35 % (800013)Time elapsed: 0.002 s
% 45.89/7.35 % (800013)Peak memory usage: 88 MB
% 45.89/7.35 % (800013)Instructions burned: 2 (million)
% 45.89/7.35 % (800015)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1283359018:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 45.89/7.35 % (800013)------------------------------
% 45.89/7.35 % (800013)------------------------------
% 45.89/7.35 % (799994)Instruction limit reached!
% 45.89/7.39 % (799994)------------------------------
% 45.89/7.39 % (799994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (799994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (799994)CaDiCaL version: 2.1.3
% 45.89/7.39 % (799994)Termination reason: Instruction limit
% 45.89/7.39 % (799994)Termination phase: Saturation
% 45.89/7.39 % (799994)Time elapsed: 1.479 s
% 45.89/7.39 % (799994)Peak memory usage: 143 MB
% 45.89/7.39 % (799994)Instructions burned: 2350 (million)
% 45.89/7.39 % (800017)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2632997468:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 45.89/7.39 % (800017)Instruction limit reached!
% 45.89/7.39 % (800017)------------------------------
% 45.89/7.39 % (800017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800017)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800017)Termination reason: Instruction limit
% 45.89/7.39 % (800017)Termination phase: Saturation
% 45.89/7.39 % (800017)Time elapsed: 0.075 s
% 45.89/7.39 % (800017)Peak memory usage: 91 MB
% 45.89/7.39 % (800017)Instructions burned: 127 (million)
% 45.89/7.39 % (800019)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4026755486:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 45.89/7.39 % (800019)Instruction limit reached!
% 45.89/7.39 % (800019)------------------------------
% 45.89/7.39 % (800019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800019)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800019)Termination reason: Instruction limit
% 45.89/7.39 % (800019)Termination phase: Saturation
% 45.89/7.39 % (800019)Time elapsed: 0.079 s
% 45.89/7.39 % (800019)Peak memory usage: 90 MB
% 45.89/7.39 % (800019)Instructions burned: 134 (million)
% 45.89/7.39 % (800020)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3325314911:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 45.89/7.39 % (800020)Refutation not found, incomplete strategy
% 45.89/7.39 % (800020)------------------------------
% 45.89/7.39 % (800020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800020)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800020)Termination reason: Refutation not found, incomplete strategy
% 45.89/7.39 % (800020)Time elapsed: 0.002 s
% 45.89/7.39 % (800020)Peak memory usage: 88 MB
% 45.89/7.39 % (800020)Instructions burned: 1 (million)
% 45.89/7.39 % (800022)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2421850757:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 45.89/7.39 % (800022)Refutation not found, incomplete strategy
% 45.89/7.39 % (800022)------------------------------
% 45.89/7.39 % (800022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800022)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800022)Termination reason: Refutation not found, incomplete strategy
% 45.89/7.39 % (800022)Time elapsed: 0.002 s
% 45.89/7.39 % (800022)Peak memory usage: 88 MB
% 45.89/7.39 % (800022)Instructions burned: 1 (million)
% 45.89/7.39 % (800020)------------------------------
% 45.89/7.39 % (800020)------------------------------
% 45.89/7.39 % (800022)------------------------------
% 45.89/7.39 % (800022)------------------------------
% 45.89/7.39 % (800025)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2071504745:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 45.89/7.39 % (800026)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3070725304:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 45.89/7.39 % (800026)Instruction limit reached!
% 45.89/7.39 % (800026)------------------------------
% 45.89/7.39 % (800026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800026)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800026)Termination reason: Instruction limit
% 45.89/7.39 % (800026)Termination phase: Saturation
% 45.89/7.39 % (800026)Time elapsed: 0.102 s
% 45.89/7.39 % (800026)Peak memory usage: 91 MB
% 45.89/7.39 % (800026)Instructions burned: 155 (million)
% 45.89/7.39 % (800029)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1314338568:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 45.89/7.39 % (800007)Instruction limit reached!
% 45.89/7.39 % (800007)------------------------------
% 45.89/7.39 % (800007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800007)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800007)Termination reason: Instruction limit
% 45.89/7.39 % (800007)Termination phase: Saturation
% 45.89/7.39 % (800007)Time elapsed: 3.002 s
% 45.89/7.39 % (800007)Peak memory usage: 169 MB
% 45.89/7.39 % (800007)Instructions burned: 5203 (million)
% 45.89/7.39 % (800031)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4130511853:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 45.89/7.39 % (800031)Instruction limit reached!
% 45.89/7.39 % (800031)------------------------------
% 45.89/7.39 % (800031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800031)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800031)Termination reason: Instruction limit
% 45.89/7.39 % (800031)Termination phase: Saturation
% 45.89/7.39 % (800031)Time elapsed: 0.250 s
% 45.89/7.39 % (800031)Peak memory usage: 89 MB
% 45.89/7.39 % (800031)Instructions burned: 669 (million)
% 45.89/7.39 % (800033)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2526687103:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 45.89/7.39 % (800033)Instruction limit reached!
% 45.89/7.39 % (800033)------------------------------
% 45.89/7.39 % (800033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800033)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800033)Termination reason: Instruction limit
% 45.89/7.39 % (800033)Termination phase: Saturation
% 45.89/7.39 % (800033)Time elapsed: 0.100 s
% 45.89/7.39 % (800033)Peak memory usage: 92 MB
% 45.89/7.39 % (800033)Instructions burned: 186 (million)
% 45.89/7.39 % (800035)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1656954346:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 45.89/7.39 % (800035)Instruction limit reached!
% 45.89/7.39 % (800035)------------------------------
% 45.89/7.39 % (800035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800035)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800035)Termination reason: Instruction limit
% 45.89/7.39 % (800035)Termination phase: Saturation
% 45.89/7.39 % (800035)Time elapsed: 0.103 s
% 45.89/7.39 % (800035)Peak memory usage: 90 MB
% 45.89/7.39 % (800035)Instructions burned: 193 (million)
% 45.89/7.39 % (800037)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3052637651:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 45.89/7.39 % (800025)Instruction limit reached!
% 45.89/7.39 % (800025)------------------------------
% 45.89/7.39 % (800025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/7.39 % (800025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/7.39 % (800025)CaDiCaL version: 2.1.3
% 45.89/7.39 % (800025)Termination reason: Instruction limit
% 45.89/7.39 % (800025)Termination phase: Saturation
% 45.89/7.39 % (800025)Time elapsed: 3.415 s
% 45.89/7.39 % (800025)Peak memory usage: 177 MB
% 45.89/7.39 % (800025)Instructions burned: 6060 (million)
% 45.89/7.39 % (799973)First to succeed.
% 45.89/7.39 % (799973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-799968"
% 45.89/7.39 % (800039)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3053661396:i=12111:sd=1:ss=included_2936 on theBenchmark for (2936ds/12111Mi)
% 45.89/7.39 % (799973)Refutation found. Thanks to Tanya!
% 45.89/7.39 % SZS status Theorem for theBenchmark
% 45.89/7.39 % SZS output start Proof for theBenchmark
% See solution above
% 46.65/7.49 % (799973)------------------------------
% 46.65/7.49 % (799973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.65/7.49 % (799973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.65/7.49 % (799973)CaDiCaL version: 2.1.3
% 46.65/7.49 % (799973)Termination reason: Refutation
% 46.65/7.49 % (799973)Time elapsed: 6.207 s
% 46.65/7.49 % (799973)Peak memory usage: 311 MB
% 46.65/7.49 % (799973)Instructions burned: 19071 (million)
% 46.65/7.49 % (799973)------------------------------
% 46.65/7.49 % (799973)------------------------------
% 46.65/7.49 % (799968)Success in time 6.523 s
% 46.65/7.49 % Vampire exiting
%------------------------------------------------------------------------------