TSTP Solution File: KLE011+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE011+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue Apr 30 13:11:39 EDT 2024
% Result : Theorem 2.88s 0.80s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 165 ( 108 unt; 0 def)
% Number of atoms : 280 ( 152 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 188 ( 73 ~; 64 |; 31 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 124 ( 113 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27111,plain,
$false,
inference(subsumption_resolution,[],[f27110,f20668]) ).
fof(f20668,plain,
complement(zero,one),
inference(unit_resulting_resolution,[],[f49,f51,f52,f66]) ).
fof(f66,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| addition(X0,X1) != one
| complement(X1,X0)
| zero != multiplication(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,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,[],[f44]) ).
fof(f44,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,[],[f27]) ).
fof(f27,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/benchmark/theBenchmark.p',test_2) ).
fof(f52,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f51,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f49,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f27110,plain,
~ complement(zero,one),
inference(forward_demodulation,[],[f27092,f27109]) ).
fof(f27109,plain,
one = addition(sK0,sK1),
inference(forward_demodulation,[],[f27091,f15395]) ).
fof(f15395,plain,
one = c(zero),
inference(forward_demodulation,[],[f15394,f274]) ).
fof(f274,plain,
one = addition(c(c(sK0)),c(c(c(sK0)))),
inference(superposition,[],[f189,f58]) ).
fof(f58,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/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f189,plain,
one = addition(c(c(c(sK0))),c(c(sK0))),
inference(unit_resulting_resolution,[],[f108,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f45]) ).
fof(f108,plain,
complement(c(c(sK0)),c(c(c(sK0)))),
inference(unit_resulting_resolution,[],[f106,f71]) ).
fof(f71,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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/benchmark/theBenchmark.p',test_3) ).
fof(f106,plain,
test(c(c(sK0))),
inference(unit_resulting_resolution,[],[f94,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK2(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f40,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,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/benchmark/theBenchmark.p',test_1) ).
fof(f94,plain,
complement(c(sK0),c(c(sK0))),
inference(unit_resulting_resolution,[],[f92,f71]) ).
fof(f92,plain,
test(c(sK0)),
inference(unit_resulting_resolution,[],[f82,f57]) ).
fof(f82,plain,
complement(sK0,c(sK0)),
inference(unit_resulting_resolution,[],[f47,f71]) ).
fof(f47,plain,
test(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK0,c(sK0)),sK1)),multiplication(c(sK0),c(sK1)))
& test(sK0)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f37]) ).
fof(f37,plain,
( ? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) )
=> ( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK0,c(sK0)),sK1)),multiplication(c(sK0),c(sK1)))
& test(sK0)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4))) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15394,plain,
addition(c(c(sK0)),c(c(c(sK0)))) = c(zero),
inference(forward_demodulation,[],[f15393,f163]) ).
fof(f163,plain,
zero = multiplication(c(sK0),c(c(sK0))),
inference(unit_resulting_resolution,[],[f94,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f15393,plain,
addition(c(c(sK0)),c(c(c(sK0)))) = c(multiplication(c(sK0),c(c(sK0)))),
inference(forward_demodulation,[],[f15363,f6338]) ).
fof(f6338,plain,
sK0 = c(c(sK0)),
inference(forward_demodulation,[],[f6337,f6281]) ).
fof(f6281,plain,
c(sK0) = sK2(sK0),
inference(superposition,[],[f6273,f4386]) ).
fof(f4386,plain,
sK2(sK0) = multiplication(sK2(sK0),c(sK0)),
inference(forward_demodulation,[],[f4375,f52]) ).
fof(f4375,plain,
multiplication(sK2(sK0),one) = multiplication(sK2(sK0),c(sK0)),
inference(superposition,[],[f3678,f210]) ).
fof(f210,plain,
one = addition(sK0,c(sK0)),
inference(superposition,[],[f190,f58]) ).
fof(f190,plain,
one = addition(c(sK0),sK0),
inference(unit_resulting_resolution,[],[f82,f65]) ).
fof(f3678,plain,
! [X0] : multiplication(sK2(sK0),X0) = multiplication(sK2(sK0),addition(sK0,X0)),
inference(forward_demodulation,[],[f3555,f114]) ).
fof(f114,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f58,f51]) ).
fof(f3555,plain,
! [X0] : multiplication(sK2(sK0),addition(sK0,X0)) = addition(zero,multiplication(sK2(sK0),X0)),
inference(superposition,[],[f69,f169]) ).
fof(f169,plain,
zero = multiplication(sK2(sK0),sK0),
inference(unit_resulting_resolution,[],[f73,f64]) ).
fof(f73,plain,
complement(sK2(sK0),sK0),
inference(unit_resulting_resolution,[],[f47,f56]) ).
fof(f56,plain,
! [X0] :
( ~ test(X0)
| complement(sK2(X0),X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f69,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/benchmark/theBenchmark.p',right_distributivity) ).
fof(f6273,plain,
c(sK0) = multiplication(sK2(sK0),c(sK0)),
inference(forward_demodulation,[],[f6261,f53]) ).
fof(f53,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f6261,plain,
multiplication(sK2(sK0),c(sK0)) = multiplication(one,c(sK0)),
inference(superposition,[],[f5906,f193]) ).
fof(f193,plain,
one = addition(sK0,sK2(sK0)),
inference(unit_resulting_resolution,[],[f73,f65]) ).
fof(f5906,plain,
! [X0] : multiplication(X0,c(sK0)) = multiplication(addition(sK0,X0),c(sK0)),
inference(forward_demodulation,[],[f5717,f114]) ).
fof(f5717,plain,
! [X0] : addition(zero,multiplication(X0,c(sK0))) = multiplication(addition(sK0,X0),c(sK0)),
inference(superposition,[],[f70,f166]) ).
fof(f166,plain,
zero = multiplication(sK0,c(sK0)),
inference(unit_resulting_resolution,[],[f82,f64]) ).
fof(f70,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/benchmark/theBenchmark.p',left_distributivity) ).
fof(f6337,plain,
sK0 = c(sK2(sK0)),
inference(subsumption_resolution,[],[f6302,f92]) ).
fof(f6302,plain,
( ~ test(c(sK0))
| sK0 = c(sK2(sK0)) ),
inference(superposition,[],[f254,f6281]) ).
fof(f254,plain,
( ~ test(sK2(sK0))
| sK0 = c(sK2(sK0)) ),
inference(resolution,[],[f60,f73]) ).
fof(f60,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f15363,plain,
c(multiplication(c(c(c(sK0))),c(c(c(c(sK0)))))) = addition(c(c(c(c(sK0)))),c(c(c(c(c(sK0)))))),
inference(unit_resulting_resolution,[],[f130,f305,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ test(X1)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( ( test(X4)
& test(X3) )
=> c(multiplication(X3,X4)) = addition(c(X3),c(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_deMorgan2) ).
fof(f305,plain,
test(c(c(c(c(sK0))))),
inference(unit_resulting_resolution,[],[f132,f57]) ).
fof(f132,plain,
complement(c(c(c(sK0))),c(c(c(c(sK0))))),
inference(unit_resulting_resolution,[],[f130,f71]) ).
fof(f130,plain,
test(c(c(c(sK0)))),
inference(unit_resulting_resolution,[],[f108,f57]) ).
fof(f27091,plain,
c(zero) = addition(sK0,sK1),
inference(superposition,[],[f15471,f27081]) ).
fof(f27081,plain,
zero = c(addition(sK0,sK1)),
inference(unit_resulting_resolution,[],[f27021,f21001]) ).
fof(f21001,plain,
! [X0] :
( complement(c(X0),X0)
| zero = c(X0) ),
inference(subsumption_resolution,[],[f21000,f231]) ).
fof(f231,plain,
! [X0] :
( zero = multiplication(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f85,f64]) ).
fof(f85,plain,
! [X0] :
( complement(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f71,f55]) ).
fof(f55,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( zero = c(X0)
| test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ test(X0)
=> zero = c(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( ~ test(X3)
=> zero = c(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_4) ).
fof(f21000,plain,
! [X0] :
( complement(c(X0),X0)
| zero != multiplication(X0,c(X0))
| zero = c(X0) ),
inference(subsumption_resolution,[],[f20901,f362]) ).
fof(f362,plain,
! [X0] :
( one = addition(X0,c(X0))
| zero = c(X0) ),
inference(superposition,[],[f230,f58]) ).
fof(f230,plain,
! [X0] :
( one = addition(c(X0),X0)
| zero = c(X0) ),
inference(resolution,[],[f85,f65]) ).
fof(f20901,plain,
! [X0] :
( one != addition(X0,c(X0))
| complement(c(X0),X0)
| zero != multiplication(X0,c(X0))
| zero = c(X0) ),
inference(trivial_inequality_removal,[],[f20701]) ).
fof(f20701,plain,
! [X0] :
( zero != zero
| one != addition(X0,c(X0))
| complement(c(X0),X0)
| zero != multiplication(X0,c(X0))
| zero = c(X0) ),
inference(superposition,[],[f66,f232]) ).
fof(f232,plain,
! [X0] :
( zero = multiplication(c(X0),X0)
| zero = c(X0) ),
inference(resolution,[],[f85,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f27021,plain,
~ complement(c(addition(sK0,sK1)),addition(sK0,sK1)),
inference(forward_demodulation,[],[f27020,f9352]) ).
fof(f9352,plain,
multiplication(c(sK0),c(sK1)) = c(addition(sK0,sK1)),
inference(forward_demodulation,[],[f9351,f6338]) ).
fof(f9351,plain,
c(addition(c(c(sK0)),sK1)) = multiplication(c(c(c(sK0))),c(sK1)),
inference(forward_demodulation,[],[f9350,f6338]) ).
fof(f9350,plain,
c(addition(c(c(c(c(sK0)))),sK1)) = multiplication(c(c(c(c(c(sK0))))),c(sK1)),
inference(forward_demodulation,[],[f9349,f6529]) ).
fof(f6529,plain,
sK1 = c(c(sK1)),
inference(forward_demodulation,[],[f6528,f6472]) ).
fof(f6472,plain,
c(sK1) = sK2(sK1),
inference(superposition,[],[f6464,f4424]) ).
fof(f4424,plain,
sK2(sK1) = multiplication(sK2(sK1),c(sK1)),
inference(forward_demodulation,[],[f4413,f52]) ).
fof(f4413,plain,
multiplication(sK2(sK1),one) = multiplication(sK2(sK1),c(sK1)),
inference(superposition,[],[f3679,f214]) ).
fof(f214,plain,
one = addition(sK1,c(sK1)),
inference(superposition,[],[f191,f58]) ).
fof(f191,plain,
one = addition(c(sK1),sK1),
inference(unit_resulting_resolution,[],[f81,f65]) ).
fof(f81,plain,
complement(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f46,f71]) ).
fof(f46,plain,
test(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f3679,plain,
! [X0] : multiplication(sK2(sK1),X0) = multiplication(sK2(sK1),addition(sK1,X0)),
inference(forward_demodulation,[],[f3556,f114]) ).
fof(f3556,plain,
! [X0] : multiplication(sK2(sK1),addition(sK1,X0)) = addition(zero,multiplication(sK2(sK1),X0)),
inference(superposition,[],[f69,f168]) ).
fof(f168,plain,
zero = multiplication(sK2(sK1),sK1),
inference(unit_resulting_resolution,[],[f72,f64]) ).
fof(f72,plain,
complement(sK2(sK1),sK1),
inference(unit_resulting_resolution,[],[f46,f56]) ).
fof(f6464,plain,
c(sK1) = multiplication(sK2(sK1),c(sK1)),
inference(forward_demodulation,[],[f6452,f53]) ).
fof(f6452,plain,
multiplication(sK2(sK1),c(sK1)) = multiplication(one,c(sK1)),
inference(superposition,[],[f5911,f192]) ).
fof(f192,plain,
one = addition(sK1,sK2(sK1)),
inference(unit_resulting_resolution,[],[f72,f65]) ).
fof(f5911,plain,
! [X0] : multiplication(X0,c(sK1)) = multiplication(addition(sK1,X0),c(sK1)),
inference(forward_demodulation,[],[f5731,f114]) ).
fof(f5731,plain,
! [X0] : addition(zero,multiplication(X0,c(sK1))) = multiplication(addition(sK1,X0),c(sK1)),
inference(superposition,[],[f70,f167]) ).
fof(f167,plain,
zero = multiplication(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f81,f64]) ).
fof(f6528,plain,
sK1 = c(sK2(sK1)),
inference(subsumption_resolution,[],[f6493,f86]) ).
fof(f86,plain,
test(c(sK1)),
inference(unit_resulting_resolution,[],[f81,f57]) ).
fof(f6493,plain,
( ~ test(c(sK1))
| sK1 = c(sK2(sK1)) ),
inference(superposition,[],[f255,f6472]) ).
fof(f255,plain,
( ~ test(sK2(sK1))
| sK1 = c(sK2(sK1)) ),
inference(resolution,[],[f60,f72]) ).
fof(f9349,plain,
c(addition(c(c(c(c(sK0)))),c(c(sK1)))) = multiplication(c(c(c(c(c(sK0))))),c(c(c(sK1)))),
inference(forward_demodulation,[],[f9286,f6529]) ).
fof(f9286,plain,
multiplication(c(c(c(c(c(sK0))))),c(c(c(c(c(sK1)))))) = c(addition(c(c(c(c(sK0)))),c(c(c(c(sK1)))))),
inference(unit_resulting_resolution,[],[f305,f282,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ test(X1)
| multiplication(c(X0),c(X1)) = c(addition(X0,X1))
| ~ test(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( multiplication(c(X0),c(X1)) = c(addition(X0,X1))
| ~ test(X1)
| ~ test(X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( multiplication(c(X0),c(X1)) = c(addition(X0,X1))
| ~ test(X1)
| ~ test(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(c(X0),c(X1)) = c(addition(X0,X1)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] :
( ( test(X4)
& test(X3) )
=> c(addition(X3,X4)) = multiplication(c(X3),c(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_deMorgan1) ).
fof(f282,plain,
test(c(c(c(c(sK1))))),
inference(unit_resulting_resolution,[],[f124,f57]) ).
fof(f124,plain,
complement(c(c(c(sK1))),c(c(c(c(sK1))))),
inference(unit_resulting_resolution,[],[f122,f71]) ).
fof(f122,plain,
test(c(c(c(sK1)))),
inference(unit_resulting_resolution,[],[f100,f57]) ).
fof(f100,plain,
complement(c(c(sK1)),c(c(c(sK1)))),
inference(unit_resulting_resolution,[],[f98,f71]) ).
fof(f98,plain,
test(c(c(sK1))),
inference(unit_resulting_resolution,[],[f88,f57]) ).
fof(f88,plain,
complement(c(sK1),c(c(sK1))),
inference(unit_resulting_resolution,[],[f86,f71]) ).
fof(f27020,plain,
~ complement(multiplication(c(sK0),c(sK1)),addition(sK0,sK1)),
inference(forward_demodulation,[],[f27019,f53]) ).
fof(f27019,plain,
~ complement(multiplication(c(sK0),c(sK1)),multiplication(one,addition(sK0,sK1))),
inference(forward_demodulation,[],[f27018,f69]) ).
fof(f27018,plain,
~ complement(multiplication(c(sK0),c(sK1)),addition(multiplication(one,sK0),multiplication(one,sK1))),
inference(forward_demodulation,[],[f27017,f210]) ).
fof(f27017,plain,
~ complement(multiplication(c(sK0),c(sK1)),addition(multiplication(one,sK0),multiplication(addition(sK0,c(sK0)),sK1))),
inference(forward_demodulation,[],[f27016,f58]) ).
fof(f27016,plain,
~ complement(multiplication(c(sK0),c(sK1)),addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(one,sK0))),
inference(forward_demodulation,[],[f27015,f214]) ).
fof(f27015,plain,
~ complement(multiplication(c(sK0),c(sK1)),addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(addition(sK1,c(sK1)),sK0))),
inference(forward_demodulation,[],[f27004,f58]) ).
fof(f27004,plain,
~ complement(multiplication(c(sK0),c(sK1)),addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK0,c(sK0)),sK1))),
inference(unit_resulting_resolution,[],[f48,f65]) ).
fof(f48,plain,
one != addition(addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK0,c(sK0)),sK1)),multiplication(c(sK0),c(sK1))),
inference(cnf_transformation,[],[f38]) ).
fof(f15471,plain,
addition(sK0,sK1) = c(c(addition(sK0,sK1))),
inference(forward_demodulation,[],[f15470,f58]) ).
fof(f15470,plain,
addition(sK1,sK0) = c(c(addition(sK0,sK1))),
inference(forward_demodulation,[],[f15469,f6529]) ).
fof(f15469,plain,
addition(c(c(sK1)),sK0) = c(c(addition(sK0,sK1))),
inference(forward_demodulation,[],[f15468,f6338]) ).
fof(f15468,plain,
addition(c(c(sK1)),c(c(sK0))) = c(c(addition(sK0,sK1))),
inference(forward_demodulation,[],[f15467,f9319]) ).
fof(f9319,plain,
c(addition(sK0,sK1)) = multiplication(c(sK1),c(sK0)),
inference(forward_demodulation,[],[f9318,f6529]) ).
fof(f9318,plain,
multiplication(c(c(c(sK1))),c(sK0)) = c(addition(sK0,c(c(sK1)))),
inference(forward_demodulation,[],[f9317,f6338]) ).
fof(f9317,plain,
c(addition(c(c(sK0)),c(c(sK1)))) = multiplication(c(c(c(sK1))),c(c(c(sK0)))),
inference(forward_demodulation,[],[f9316,f6529]) ).
fof(f9316,plain,
multiplication(c(c(c(c(c(sK1))))),c(c(c(sK0)))) = c(addition(c(c(sK0)),c(c(c(c(sK1)))))),
inference(forward_demodulation,[],[f9315,f6338]) ).
fof(f9315,plain,
c(addition(c(c(c(c(sK0)))),c(c(c(c(sK1)))))) = multiplication(c(c(c(c(c(sK1))))),c(c(c(c(c(sK0)))))),
inference(forward_demodulation,[],[f9295,f58]) ).
fof(f9295,plain,
multiplication(c(c(c(c(c(sK1))))),c(c(c(c(c(sK0)))))) = c(addition(c(c(c(c(sK1)))),c(c(c(c(sK0)))))),
inference(unit_resulting_resolution,[],[f282,f305,f61]) ).
fof(f15467,plain,
addition(c(c(sK1)),c(c(sK0))) = c(multiplication(c(sK1),c(sK0))),
inference(forward_demodulation,[],[f15466,f6529]) ).
fof(f15466,plain,
addition(c(c(c(c(sK1)))),c(c(sK0))) = c(multiplication(c(c(c(sK1))),c(sK0))),
inference(forward_demodulation,[],[f15342,f6338]) ).
fof(f15342,plain,
addition(c(c(c(c(sK1)))),c(c(c(c(sK0))))) = c(multiplication(c(c(c(sK1))),c(c(c(sK0))))),
inference(unit_resulting_resolution,[],[f122,f130,f62]) ).
fof(f27092,plain,
~ complement(zero,addition(sK0,sK1)),
inference(superposition,[],[f27021,f27081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE011+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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 Apr 30 05:22:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (30734)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30737)WARNING: value z3 for option sas not known
% 0.14/0.37 % (30738)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (30735)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (30736)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (30740)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (30741)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (30737)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (30739)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 TRYING [4]
% 0.20/0.40 TRYING [3]
% 0.20/0.42 TRYING [5]
% 0.20/0.44 TRYING [4]
% 0.20/0.50 TRYING [6]
% 0.20/0.53 TRYING [5]
% 2.10/0.66 TRYING [7]
% 2.88/0.77 TRYING [6]
% 2.88/0.79 % (30741)First to succeed.
% 2.88/0.80 % (30741)Refutation found. Thanks to Tanya!
% 2.88/0.80 % SZS status Theorem for theBenchmark
% 2.88/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/0.80 % (30741)------------------------------
% 2.88/0.80 % (30741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.88/0.80 % (30741)Termination reason: Refutation
% 2.88/0.80
% 2.88/0.80 % (30741)Memory used [KB]: 5452
% 2.88/0.80 % (30741)Time elapsed: 0.427 s
% 2.88/0.80 % (30741)Instructions burned: 1183 (million)
% 2.88/0.80 % (30741)------------------------------
% 2.88/0.80 % (30741)------------------------------
% 2.88/0.80 % (30734)Success in time 0.433 s
%------------------------------------------------------------------------------