TSTP Solution File: KLE014+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:36:19 EDT 2023
% Result : Theorem 1.47s 0.66s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 21
% Syntax : Number of formulae : 164 ( 109 unt; 0 def)
% Number of atoms : 274 ( 180 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 188 ( 78 ~; 69 |; 27 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 140 (; 129 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15223,plain,
$false,
inference(unit_resulting_resolution,[],[f14788,f67,f15185]) ).
fof(f15185,plain,
! [X0] :
( ~ complement(X0,sF3)
| sF4 = sF7 ),
inference(resolution,[],[f14824,f49]) ).
fof(f49,plain,
! [X0,X1] :
( test(X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK2(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f32,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',test_1) ).
fof(f14824,plain,
( ~ test(sF3)
| sF4 = sF7 ),
inference(forward_demodulation,[],[f14820,f63]) ).
fof(f63,plain,
c(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f14820,plain,
( c(sF3) = sF7
| ~ test(sF3) ),
inference(resolution,[],[f14787,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',test_3) ).
fof(f14787,plain,
complement(sF3,sF7),
inference(trivial_inequality_removal,[],[f14786]) ).
fof(f14786,plain,
( one != one
| complement(sF3,sF7) ),
inference(backward_demodulation,[],[f5241,f14782]) ).
fof(f14782,plain,
one = addition(sF3,sF7),
inference(forward_demodulation,[],[f14781,f2623]) ).
fof(f2623,plain,
one = addition(sF3,sF6),
inference(forward_demodulation,[],[f2622,f206]) ).
fof(f206,plain,
one = addition(one,sK0),
inference(forward_demodulation,[],[f205,f46]) ).
fof(f46,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',additive_idempotence) ).
fof(f205,plain,
addition(one,one) = addition(one,sK0),
inference(forward_demodulation,[],[f200,f50]) ).
fof(f50,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',additive_commutativity) ).
fof(f200,plain,
addition(one,one) = addition(sK0,one),
inference(superposition,[],[f177,f181]) ).
fof(f181,plain,
one = addition(one,sF5),
inference(forward_demodulation,[],[f176,f116]) ).
fof(f116,plain,
one = addition(sK0,sF5),
inference(resolution,[],[f113,f39]) ).
fof(f39,plain,
test(sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( c(addition(sK0,sK1)) != multiplication(c(sK0),c(sK1))
& test(sK0)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f29]) ).
fof(f29,plain,
( ? [X0,X1] :
( c(addition(X0,X1)) != multiplication(c(X0),c(X1))
& test(X0)
& test(X1) )
=> ( c(addition(sK0,sK1)) != multiplication(c(sK0),c(sK1))
& test(sK0)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( c(addition(X0,X1)) != multiplication(c(X0),c(X1))
& test(X0)
& test(X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X1] :
( c(addition(X0,X1)) != multiplication(c(X0),c(X1))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4] :
( ( test(X3)
& test(X4) )
=> c(addition(X3,X4)) = multiplication(c(X3),c(X4)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4] :
( ( test(X3)
& test(X4) )
=> c(addition(X3,X4)) = multiplication(c(X3),c(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',goals) ).
fof(f113,plain,
( ~ test(sK0)
| one = addition(sK0,sF5) ),
inference(forward_demodulation,[],[f108,f50]) ).
fof(f108,plain,
( one = addition(sF5,sK0)
| ~ test(sK0) ),
inference(resolution,[],[f55,f69]) ).
fof(f69,plain,
( complement(sK0,sF5)
| ~ test(sK0) ),
inference(superposition,[],[f61,f64]) ).
fof(f64,plain,
c(sK0) = sF5,
introduced(function_definition,[]) ).
fof(f61,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',test_2) ).
fof(f176,plain,
addition(sK0,sF5) = addition(one,sF5),
inference(superposition,[],[f161,f46]) ).
fof(f161,plain,
! [X17] : addition(sK0,addition(sF5,X17)) = addition(one,X17),
inference(superposition,[],[f57,f116]) ).
fof(f57,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',additive_associativity) ).
fof(f177,plain,
! [X0] : addition(one,X0) = addition(sK0,addition(X0,sF5)),
inference(superposition,[],[f161,f50]) ).
fof(f2622,plain,
addition(one,sK0) = addition(sF3,sF6),
inference(forward_demodulation,[],[f2605,f50]) ).
fof(f2605,plain,
addition(sK0,one) = addition(sF3,sF6),
inference(superposition,[],[f160,f128]) ).
fof(f128,plain,
one = addition(sK1,sF6),
inference(resolution,[],[f114,f38]) ).
fof(f38,plain,
test(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f114,plain,
( ~ test(sK1)
| one = addition(sK1,sF6) ),
inference(forward_demodulation,[],[f109,f50]) ).
fof(f109,plain,
( one = addition(sF6,sK1)
| ~ test(sK1) ),
inference(resolution,[],[f55,f70]) ).
fof(f70,plain,
( complement(sK1,sF6)
| ~ test(sK1) ),
inference(superposition,[],[f61,f65]) ).
fof(f65,plain,
c(sK1) = sF6,
introduced(function_definition,[]) ).
fof(f160,plain,
! [X16] : addition(sK0,addition(sK1,X16)) = addition(sF3,X16),
inference(superposition,[],[f57,f62]) ).
fof(f62,plain,
addition(sK0,sK1) = sF3,
introduced(function_definition,[]) ).
fof(f14781,plain,
addition(sF3,sF6) = addition(sF3,sF7),
inference(forward_demodulation,[],[f14738,f50]) ).
fof(f14738,plain,
addition(sF3,sF6) = addition(sF7,sF3),
inference(superposition,[],[f14391,f5345]) ).
fof(f5345,plain,
sF3 = addition(sF3,multiplication(sK0,sF6)),
inference(superposition,[],[f4947,f892]) ).
fof(f892,plain,
multiplication(sK0,sF6) = multiplication(sF3,sF6),
inference(superposition,[],[f714,f62]) ).
fof(f714,plain,
! [X35] : multiplication(X35,sF6) = multiplication(addition(X35,sK1),sF6),
inference(forward_demodulation,[],[f645,f43]) ).
fof(f43,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',additive_identity) ).
fof(f645,plain,
! [X35] : multiplication(addition(X35,sK1),sF6) = addition(multiplication(X35,sF6),zero),
inference(superposition,[],[f60,f101]) ).
fof(f101,plain,
zero = multiplication(sK1,sF6),
inference(resolution,[],[f89,f38]) ).
fof(f89,plain,
( ~ test(sK1)
| zero = multiplication(sK1,sF6) ),
inference(resolution,[],[f54,f70]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f60,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',left_distributivity) ).
fof(f4947,plain,
! [X27] : addition(X27,multiplication(X27,sF6)) = X27,
inference(forward_demodulation,[],[f4823,f44]) ).
fof(f44,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',multiplicative_right_identity) ).
fof(f4823,plain,
! [X27] : addition(X27,multiplication(X27,sF6)) = multiplication(X27,one),
inference(superposition,[],[f363,f191]) ).
fof(f191,plain,
one = addition(one,sF6),
inference(forward_demodulation,[],[f186,f128]) ).
fof(f186,plain,
addition(sK1,sF6) = addition(one,sF6),
inference(superposition,[],[f162,f46]) ).
fof(f162,plain,
! [X18] : addition(sK1,addition(sF6,X18)) = addition(one,X18),
inference(superposition,[],[f57,f128]) ).
fof(f363,plain,
! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
inference(superposition,[],[f59,f44]) ).
fof(f59,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',right_distributivity) ).
fof(f14391,plain,
! [X3] : addition(X3,sF6) = addition(sF7,addition(X3,multiplication(sK0,sF6))),
inference(superposition,[],[f171,f14340]) ).
fof(f14340,plain,
sF6 = addition(sF7,multiplication(sK0,sF6)),
inference(forward_demodulation,[],[f14320,f45]) ).
fof(f45,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',multiplicative_left_identity) ).
fof(f14320,plain,
multiplication(one,sF6) = addition(sF7,multiplication(sK0,sF6)),
inference(superposition,[],[f724,f116]) ).
fof(f724,plain,
! [X49] : addition(sF7,multiplication(X49,sF6)) = multiplication(addition(X49,sF5),sF6),
inference(forward_demodulation,[],[f655,f50]) ).
fof(f655,plain,
! [X49] : multiplication(addition(X49,sF5),sF6) = addition(multiplication(X49,sF6),sF7),
inference(superposition,[],[f60,f66]) ).
fof(f66,plain,
multiplication(sF5,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f171,plain,
! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(X5,addition(X4,X6)),
inference(forward_demodulation,[],[f156,f57]) ).
fof(f156,plain,
! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6),
inference(superposition,[],[f57,f50]) ).
fof(f5241,plain,
( one != addition(sF3,sF7)
| complement(sF3,sF7) ),
inference(trivial_inequality_removal,[],[f5230]) ).
fof(f5230,plain,
( zero != zero
| one != addition(sF3,sF7)
| complement(sF3,sF7) ),
inference(backward_demodulation,[],[f2844,f5227]) ).
fof(f5227,plain,
zero = multiplication(sK1,sF7),
inference(forward_demodulation,[],[f5226,f101]) ).
fof(f5226,plain,
multiplication(sK1,sF6) = multiplication(sK1,sF7),
inference(forward_demodulation,[],[f5225,f66]) ).
fof(f5225,plain,
multiplication(sK1,sF6) = multiplication(sK1,multiplication(sF5,sF6)),
inference(forward_demodulation,[],[f5163,f58]) ).
fof(f58,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',multiplicative_associativity) ).
fof(f5163,plain,
multiplication(sK1,sF6) = multiplication(multiplication(sK1,sF5),sF6),
inference(superposition,[],[f682,f4946]) ).
fof(f4946,plain,
! [X26] : addition(X26,multiplication(X26,sF5)) = X26,
inference(forward_demodulation,[],[f4822,f44]) ).
fof(f4822,plain,
! [X26] : addition(X26,multiplication(X26,sF5)) = multiplication(X26,one),
inference(superposition,[],[f363,f181]) ).
fof(f682,plain,
! [X35] : multiplication(addition(sK1,X35),sF6) = multiplication(X35,sF6),
inference(forward_demodulation,[],[f611,f71]) ).
fof(f71,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f50,f43]) ).
fof(f611,plain,
! [X35] : multiplication(addition(sK1,X35),sF6) = addition(zero,multiplication(X35,sF6)),
inference(superposition,[],[f60,f101]) ).
fof(f2844,plain,
( one != addition(sF3,sF7)
| zero != multiplication(sK1,sF7)
| complement(sF3,sF7) ),
inference(trivial_inequality_removal,[],[f2843]) ).
fof(f2843,plain,
( zero != zero
| one != addition(sF3,sF7)
| zero != multiplication(sK1,sF7)
| complement(sF3,sF7) ),
inference(backward_demodulation,[],[f1343,f2842]) ).
fof(f2842,plain,
zero = multiplication(sF7,sF3),
inference(forward_demodulation,[],[f2841,f2765]) ).
fof(f2765,plain,
zero = multiplication(sF7,sK0),
inference(forward_demodulation,[],[f2757,f84]) ).
fof(f84,plain,
zero = multiplication(sF5,sK0),
inference(resolution,[],[f80,f39]) ).
fof(f80,plain,
( ~ test(sK0)
| zero = multiplication(sF5,sK0) ),
inference(resolution,[],[f53,f69]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f2757,plain,
multiplication(sF5,sK0) = multiplication(sF7,sK0),
inference(superposition,[],[f688,f2754]) ).
fof(f2754,plain,
sF5 = addition(sF5,sF7),
inference(forward_demodulation,[],[f2750,f50]) ).
fof(f2750,plain,
sF5 = addition(sF7,sF5),
inference(superposition,[],[f155,f2657]) ).
fof(f2657,plain,
sF5 = addition(sF7,multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f2656,f44]) ).
fof(f2656,plain,
multiplication(sF5,one) = addition(sF7,multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f2647,f464]) ).
fof(f464,plain,
! [X33] : addition(sF7,multiplication(sF5,X33)) = multiplication(sF5,addition(X33,sF6)),
inference(forward_demodulation,[],[f405,f50]) ).
fof(f405,plain,
! [X33] : multiplication(sF5,addition(X33,sF6)) = addition(multiplication(sF5,X33),sF7),
inference(superposition,[],[f59,f66]) ).
fof(f2647,plain,
multiplication(sF5,one) = multiplication(sF5,addition(sK1,sF6)),
inference(superposition,[],[f529,f2623]) ).
fof(f529,plain,
! [X1] : multiplication(sF5,addition(sF3,X1)) = multiplication(sF5,addition(sK1,X1)),
inference(forward_demodulation,[],[f526,f59]) ).
fof(f526,plain,
! [X1] : multiplication(sF5,addition(sF3,X1)) = addition(multiplication(sF5,sK1),multiplication(sF5,X1)),
inference(superposition,[],[f59,f500]) ).
fof(f500,plain,
multiplication(sF5,sK1) = multiplication(sF5,sF3),
inference(superposition,[],[f438,f62]) ).
fof(f438,plain,
! [X34] : multiplication(sF5,addition(sK0,X34)) = multiplication(sF5,X34),
inference(forward_demodulation,[],[f382,f71]) ).
fof(f382,plain,
! [X34] : multiplication(sF5,addition(sK0,X34)) = addition(zero,multiplication(sF5,X34)),
inference(superposition,[],[f59,f84]) ).
fof(f155,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f57,f46]) ).
fof(f688,plain,
! [X46] : multiplication(addition(sF5,X46),sK0) = multiplication(X46,sK0),
inference(forward_demodulation,[],[f618,f71]) ).
fof(f618,plain,
! [X46] : multiplication(addition(sF5,X46),sK0) = addition(zero,multiplication(X46,sK0)),
inference(superposition,[],[f60,f84]) ).
fof(f2841,plain,
multiplication(sF7,sK0) = multiplication(sF7,sF3),
inference(forward_demodulation,[],[f2816,f250]) ).
fof(f250,plain,
! [X18] : multiplication(sF5,multiplication(sF6,X18)) = multiplication(sF7,X18),
inference(superposition,[],[f58,f66]) ).
fof(f2816,plain,
multiplication(sF7,sF3) = multiplication(sF5,multiplication(sF6,sK0)),
inference(superposition,[],[f250,f766]) ).
fof(f766,plain,
multiplication(sF6,sK0) = multiplication(sF6,sF3),
inference(superposition,[],[f467,f62]) ).
fof(f467,plain,
! [X37] : multiplication(sF6,X37) = multiplication(sF6,addition(X37,sK1)),
inference(forward_demodulation,[],[f408,f43]) ).
fof(f408,plain,
! [X37] : multiplication(sF6,addition(X37,sK1)) = addition(multiplication(sF6,X37),zero),
inference(superposition,[],[f59,f92]) ).
fof(f92,plain,
zero = multiplication(sF6,sK1),
inference(resolution,[],[f81,f38]) ).
fof(f81,plain,
( ~ test(sK1)
| zero = multiplication(sF6,sK1) ),
inference(resolution,[],[f53,f70]) ).
fof(f1343,plain,
( one != addition(sF3,sF7)
| zero != multiplication(sK1,sF7)
| complement(sF3,sF7)
| zero != multiplication(sF7,sF3) ),
inference(forward_demodulation,[],[f1337,f50]) ).
fof(f1337,plain,
( zero != multiplication(sK1,sF7)
| one != addition(sF7,sF3)
| complement(sF3,sF7)
| zero != multiplication(sF7,sF3) ),
inference(superposition,[],[f56,f1313]) ).
fof(f1313,plain,
multiplication(sK1,sF7) = multiplication(sF3,sF7),
inference(superposition,[],[f678,f62]) ).
fof(f678,plain,
! [X25] : multiplication(addition(sK0,X25),sF7) = multiplication(X25,sF7),
inference(forward_demodulation,[],[f605,f71]) ).
fof(f605,plain,
! [X25] : multiplication(addition(sK0,X25),sF7) = addition(zero,multiplication(X25,sF7)),
inference(superposition,[],[f60,f271]) ).
fof(f271,plain,
zero = multiplication(sK0,sF7),
inference(superposition,[],[f261,f66]) ).
fof(f261,plain,
! [X12] : zero = multiplication(sK0,multiplication(sF5,X12)),
inference(forward_demodulation,[],[f244,f42]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948',left_annihilation) ).
fof(f244,plain,
! [X12] : multiplication(sK0,multiplication(sF5,X12)) = multiplication(zero,X12),
inference(superposition,[],[f58,f98]) ).
fof(f98,plain,
zero = multiplication(sK0,sF5),
inference(resolution,[],[f88,f39]) ).
fof(f88,plain,
( ~ test(sK0)
| zero = multiplication(sK0,sF5) ),
inference(resolution,[],[f54,f69]) ).
fof(f56,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| addition(X0,X1) != one
| complement(X1,X0)
| zero != multiplication(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
sF4 != sF7,
inference(definition_folding,[],[f40,f66,f65,f64,f63,f62]) ).
fof(f40,plain,
c(addition(sK0,sK1)) != multiplication(c(sK0),c(sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f14788,plain,
complement(sF7,sF3),
inference(trivial_inequality_removal,[],[f14785]) ).
fof(f14785,plain,
( one != one
| complement(sF7,sF3) ),
inference(backward_demodulation,[],[f5239,f14782]) ).
fof(f5239,plain,
( one != addition(sF3,sF7)
| complement(sF7,sF3) ),
inference(trivial_inequality_removal,[],[f5232]) ).
fof(f5232,plain,
( zero != zero
| one != addition(sF3,sF7)
| complement(sF7,sF3) ),
inference(backward_demodulation,[],[f2879,f5227]) ).
fof(f2879,plain,
( zero != multiplication(sK1,sF7)
| one != addition(sF3,sF7)
| complement(sF7,sF3) ),
inference(forward_demodulation,[],[f2878,f1313]) ).
fof(f2878,plain,
( one != addition(sF3,sF7)
| complement(sF7,sF3)
| zero != multiplication(sF3,sF7) ),
inference(trivial_inequality_removal,[],[f2872]) ).
fof(f2872,plain,
( zero != zero
| one != addition(sF3,sF7)
| complement(sF7,sF3)
| zero != multiplication(sF3,sF7) ),
inference(superposition,[],[f56,f2842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:54:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.kBFowhqFHe/Vampire---4.8_5948
% 0.14/0.36 % (6056)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (6063)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (6061)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (6062)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.42 % (6058)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (6059)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (6060)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (6057)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 1.47/0.66 % (6059)First to succeed.
% 1.47/0.66 % (6059)Refutation found. Thanks to Tanya!
% 1.47/0.66 % SZS status Theorem for Vampire---4
% 1.47/0.66 % SZS output start Proof for Vampire---4
% See solution above
% 1.47/0.67 % (6059)------------------------------
% 1.47/0.67 % (6059)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.47/0.67 % (6059)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.47/0.67 % (6059)Termination reason: Refutation
% 1.47/0.67
% 1.47/0.67 % (6059)Memory used [KB]: 8827
% 1.47/0.67 % (6059)Time elapsed: 0.257 s
% 1.47/0.67 % (6059)------------------------------
% 1.47/0.67 % (6059)------------------------------
% 1.47/0.67 % (6056)Success in time 0.304 s
% 1.47/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------