TSTP Solution File: NUN075+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN075+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:07:44 EDT 2022
% Result : Theorem 1.53s 0.55s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 60 ( 24 unt; 0 def)
% Number of atoms : 313 ( 59 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 381 ( 128 ~; 106 |; 138 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 8 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 280 ( 174 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(subsumption_resolution,[],[f121,f113]) ).
fof(f113,plain,
! [X0] : r2(X0,sK9(X0,sK0)),
inference(superposition,[],[f109,f102]) ).
fof(f102,plain,
! [X0] : sK7(sK0,X0) = X0,
inference(unit_resulting_resolution,[],[f82,f58]) ).
fof(f58,plain,
! [X3,X0,X1] :
( ~ r3(X1,X0,X3)
| sK7(X0,X1) = X3 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X3] :
( ( sK7(X0,X1) != X3
& ~ r3(X1,X0,X3) )
| ( sK7(X0,X1) = X3
& r3(X1,X0,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f17,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 != X3
& ~ r3(X1,X0,X3) )
| ( X2 = X3
& r3(X1,X0,X3) ) )
=> ! [X3] :
( ( sK7(X0,X1) != X3
& ~ r3(X1,X0,X3) )
| ( sK7(X0,X1) = X3
& r3(X1,X0,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r3(X1,X0,X3) )
| ( X2 = X3
& r3(X1,X0,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X5] :
? [X7] :
! [X8] :
( ( r3(X5,X6,X8)
& X7 = X8 )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f82,plain,
! [X0] : r3(X0,sK0,X0),
inference(backward_demodulation,[],[f79,f81]) ).
fof(f81,plain,
! [X0] : sK2(X0) = sK0,
inference(unit_resulting_resolution,[],[f47,f44]) ).
fof(f44,plain,
! [X1] :
( ~ r1(X1)
| sK0 = X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1] :
( ( ~ r1(X1)
& sK0 != X1 )
| ( r1(X1)
& sK0 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f23]) ).
fof(f23,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK0 != X1 )
| ( r1(X1)
& sK0 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f47,plain,
! [X0] : r1(sK2(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( r3(X0,sK2(X0),sK1(X0))
& r1(sK2(X0))
& sK1(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f15,f26,f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 )
=> ( ? [X2] :
( r3(X0,X2,sK1(X0))
& r1(X2) )
& sK1(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK1(X0))
& r1(X2) )
=> ( r3(X0,sK2(X0),sK1(X0))
& r1(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( ? [X31] :
( r1(X31)
& r3(X29,X31,X30) )
& X29 = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f79,plain,
! [X0] : r3(X0,sK2(X0),X0),
inference(forward_demodulation,[],[f48,f46]) ).
fof(f46,plain,
! [X0] : sK1(X0) = X0,
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
! [X0] : r3(X0,sK2(X0),sK1(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f109,plain,
! [X0,X1] : r2(sK7(X1,X0),sK9(X0,X1)),
inference(backward_demodulation,[],[f69,f103]) ).
fof(f103,plain,
! [X0,X1] : sK7(X1,X0) = sK11(X0,X1),
inference(unit_resulting_resolution,[],[f61,f58]) ).
fof(f61,plain,
! [X0,X1] : r3(X0,X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( sK8(X0,X1) = sK9(X0,X1)
& r2(X1,sK10(X0,X1))
& r3(X0,sK10(X0,X1),sK9(X0,X1))
& r2(sK11(X0,X1),sK8(X0,X1))
& r3(X0,X1,sK11(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f35,f39,f38,f37,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) )
=> ( ? [X3] :
( sK8(X0,X1) = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,sK8(X0,X1))
& r3(X0,X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X3] :
( sK8(X0,X1) = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
=> ( sK8(X0,X1) = sK9(X0,X1)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,sK9(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X4] :
( r2(X1,X4)
& r3(X0,X4,sK9(X0,X1)) )
=> ( r2(X1,sK10(X0,X1))
& r3(X0,sK10(X0,X1),sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X5] :
( r2(X5,sK8(X0,X1))
& r3(X0,X1,X5) )
=> ( r2(sK11(X0,X1),sK8(X0,X1))
& r3(X0,X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
? [X2] :
( ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) ) )
& ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) )
& ? [X16] :
( ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) )
& X15 = X16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f69,plain,
! [X0,X1] : r2(sK11(X0,X1),sK9(X0,X1)),
inference(definition_unfolding,[],[f62,f65]) ).
fof(f65,plain,
! [X0,X1] : sK8(X0,X1) = sK9(X0,X1),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0,X1] : r2(sK11(X0,X1),sK8(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f121,plain,
~ r2(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK9(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK0)),
inference(forward_demodulation,[],[f119,f105]) ).
fof(f105,plain,
! [X0,X1] : sK7(sK3(X1),X0) = sK9(X0,X1),
inference(unit_resulting_resolution,[],[f90,f58]) ).
fof(f90,plain,
! [X0,X1] : r3(X0,sK3(X1),sK9(X0,X1)),
inference(backward_demodulation,[],[f63,f88]) ).
fof(f88,plain,
! [X0,X1] : sK3(X0) = sK10(X1,X0),
inference(unit_resulting_resolution,[],[f64,f52]) ).
fof(f52,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK3(X0) = X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X2] :
( ( sK3(X0) = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& sK3(X0) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f28]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& X1 != X2 ) )
=> ! [X2] :
( ( sK3(X0) = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& sK3(X0) != X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& X1 != X2 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ r2(X2,X4)
& X3 != X4 )
| ( X3 = X4
& r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f64,plain,
! [X0,X1] : r2(X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f63,plain,
! [X0,X1] : r3(X0,sK10(X0,X1),sK9(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f119,plain,
~ r2(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK7(sK3(sK0),sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))))),
inference(unit_resulting_resolution,[],[f70,f73,f73,f73,f73,f73,f73,f73,f70,f73,f70,f73,f73,f73,f73,f73,f73,f73,f73,f109,f90,f78]) ).
fof(f78,plain,
! [X2,X21,X3,X10,X11,X1,X18,X6,X19,X8,X14,X7,X4,X16,X9,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X6,X5)
| ~ r1(X11)
| ~ r2(X18,X17)
| ~ r2(X15,X14)
| ~ r2(X20,X19)
| ~ r2(X8,X7)
| ~ r1(X4)
| ~ r2(X11,X10)
| ~ r2(X19,X18)
| ~ r2(X4,X3)
| ~ r1(X21)
| ~ r2(X21,X20)
| ~ r2(X14,X13)
| ~ r2(X7,X6)
| ~ r2(X17,X16)
| ~ r2(X13,X12)
| ~ r2(X10,X9)
| ~ r2(X16,X15)
| ~ r2(X3,X2)
| ~ r2(X9,X8)
| ~ r2(X5,X1) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X19,X18,X16,X17,X15,X5,X12,X13,X20] :
( ~ r1(X4)
| ~ r2(X4,X3)
| ~ r2(X3,X2)
| ~ r3(X1,X2,X0)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X11,X10)
| ~ r1(X11)
| ~ r2(X10,X9)
| ~ r2(X5,X1)
| X0 != X12
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r2(X20,X19)
| ~ r1(X21)
| ~ r2(X21,X20)
| ~ r2(X19,X18)
| ~ r2(X18,X17)
| ~ r2(X17,X16)
| ~ r2(X16,X15)
| ~ r2(X15,X14) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r2(X3,X2) )
| ~ r3(X1,X2,X0) )
| ! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r2(X7,X6)
| ! [X8] :
( ~ r2(X8,X7)
| ! [X9] :
( ~ r2(X9,X8)
| ! [X10] :
( ! [X11] :
( ~ r2(X11,X10)
| ~ r1(X11) )
| ~ r2(X10,X9) ) ) ) ) )
| ~ r2(X5,X1) ) )
| ! [X12] :
( X0 != X12
| ! [X13] :
( ~ r2(X13,X12)
| ! [X14] :
( ~ r2(X14,X13)
| ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ~ r2(X20,X19)
| ! [X21] :
( ~ r1(X21)
| ~ r2(X21,X20) ) )
| ~ r2(X19,X18) )
| ~ r2(X18,X17) )
| ~ r2(X17,X16) )
| ~ r2(X16,X15) )
| ~ r2(X15,X14) ) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ r1(X14)
| ~ r2(X14,X13) )
| ~ r2(X13,X12) )
| ~ r3(X11,X12,X0) )
| ! [X15] :
( ! [X16] :
( ~ r2(X16,X15)
| ! [X17] :
( ~ r2(X17,X16)
| ! [X18] :
( ~ r2(X18,X17)
| ! [X19] :
( ~ r2(X19,X18)
| ! [X20] :
( ! [X21] :
( ~ r2(X21,X20)
| ~ r1(X21) )
| ~ r2(X20,X19) ) ) ) ) )
| ~ r2(X15,X11) ) )
| ! [X1] :
( X0 != X1
| ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ! [X10] :
( ~ r1(X10)
| ~ r2(X10,X9) ) )
| ~ r2(X8,X7) )
| ~ r2(X7,X6) )
| ~ r2(X6,X5) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X11] :
( ? [X15] :
( r2(X15,X11)
& ? [X16] :
( ? [X17] :
( r2(X17,X16)
& ? [X18] :
( ? [X19] :
( ? [X20] :
( ? [X21] :
( r1(X21)
& r2(X21,X20) )
& r2(X20,X19) )
& r2(X19,X18) )
& r2(X18,X17) ) )
& r2(X16,X15) ) )
& ? [X12] :
( ? [X13] :
( ? [X14] :
( r2(X14,X13)
& r1(X14) )
& r2(X13,X12) )
& r3(X11,X12,X0) ) )
& ? [X1] :
( ? [X2] :
( r2(X2,X1)
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& ? [X8] :
( ? [X9] :
( ? [X10] :
( r2(X10,X9)
& r1(X10) )
& r2(X9,X8) )
& r2(X8,X7) ) )
& r2(X6,X5) )
& r2(X5,X4) ) )
& r2(X3,X2) ) )
& X0 = X1 ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( ? [X22] :
( r2(X22,X21)
& ? [X15] :
( ? [X24] :
( ? [X33] :
( r2(X33,X24)
& ? [X41] :
( r2(X41,X33)
& ? [X27] :
( ? [X23] :
( ? [X34] :
( r2(X34,X23)
& ? [X42] :
( r1(X42)
& r2(X42,X34) ) )
& r2(X23,X27) )
& r2(X27,X41) ) ) )
& r2(X24,X15) )
& r2(X15,X22) ) )
& X21 = X38 )
& ? [X16] :
( ? [X31] :
( r3(X16,X31,X38)
& ? [X37] :
( ? [X7] :
( r1(X7)
& r2(X7,X37) )
& r2(X37,X31) ) )
& ? [X18] :
( r2(X18,X16)
& ? [X30] :
( ? [X39] :
( r2(X39,X30)
& ? [X28] :
( r2(X28,X39)
& ? [X17] :
( r2(X17,X28)
& ? [X35] :
( ? [X3] :
( r2(X3,X35)
& r1(X3) )
& r2(X35,X17) ) ) ) )
& r2(X30,X18) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( ? [X22] :
( r2(X22,X21)
& ? [X15] :
( ? [X24] :
( ? [X33] :
( r2(X33,X24)
& ? [X41] :
( r2(X41,X33)
& ? [X27] :
( ? [X23] :
( ? [X34] :
( r2(X34,X23)
& ? [X42] :
( r1(X42)
& r2(X42,X34) ) )
& r2(X23,X27) )
& r2(X27,X41) ) ) )
& r2(X24,X15) )
& r2(X15,X22) ) )
& X21 = X38 )
& ? [X16] :
( ? [X31] :
( r3(X16,X31,X38)
& ? [X37] :
( ? [X7] :
( r1(X7)
& r2(X7,X37) )
& r2(X37,X31) ) )
& ? [X18] :
( r2(X18,X16)
& ? [X30] :
( ? [X39] :
( r2(X39,X30)
& ? [X28] :
( r2(X28,X39)
& ? [X17] :
( r2(X17,X28)
& ? [X35] :
( ? [X3] :
( r2(X3,X35)
& r1(X3) )
& r2(X35,X17) ) ) ) )
& r2(X30,X18) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sevenplustwoeqnine) ).
fof(f73,plain,
! [X0] : r2(X0,sK3(X0)),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X2,X0] :
( r2(X0,X2)
| sK3(X0) != X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f70,plain,
r1(sK0),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X1] :
( sK0 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN075+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:58:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (18151)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.46 % (18163)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.49 % (18163)Instruction limit reached!
% 0.18/0.49 % (18163)------------------------------
% 0.18/0.49 % (18163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (18163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (18163)Termination reason: Unknown
% 0.18/0.50 % (18163)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (18163)Memory used [KB]: 6140
% 0.18/0.50 % (18163)Time elapsed: 0.093 s
% 0.18/0.50 % (18163)Instructions burned: 30 (million)
% 0.18/0.50 % (18163)------------------------------
% 0.18/0.50 % (18163)------------------------------
% 0.18/0.50 % (18151)Instruction limit reached!
% 0.18/0.50 % (18151)------------------------------
% 0.18/0.50 % (18151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (18151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (18151)Termination reason: Unknown
% 0.18/0.50 % (18151)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (18151)Memory used [KB]: 7164
% 0.18/0.50 % (18151)Time elapsed: 0.034 s
% 0.18/0.50 % (18151)Instructions burned: 49 (million)
% 0.18/0.50 % (18151)------------------------------
% 0.18/0.50 % (18151)------------------------------
% 0.18/0.50 % (18165)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.52 % (18145)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (18143)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (18147)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.52 % (18153)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.36/0.52 % (18156)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.52 % (18153)Refutation not found, incomplete strategy% (18153)------------------------------
% 1.36/0.52 % (18153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52 % (18153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52 % (18153)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.52
% 1.36/0.52 % (18153)Memory used [KB]: 6012
% 1.36/0.52 % (18153)Time elapsed: 0.123 s
% 1.36/0.52 % (18153)Instructions burned: 4 (million)
% 1.36/0.52 % (18153)------------------------------
% 1.36/0.52 % (18153)------------------------------
% 1.36/0.52 % (18155)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.36/0.52 % (18154)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.53 % (18155)Refutation not found, incomplete strategy% (18155)------------------------------
% 1.36/0.53 % (18155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (18155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (18155)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.53
% 1.36/0.53 % (18155)Memory used [KB]: 1663
% 1.36/0.53 % (18155)Time elapsed: 0.139 s
% 1.36/0.53 % (18155)Instructions burned: 5 (million)
% 1.36/0.53 % (18155)------------------------------
% 1.36/0.53 % (18155)------------------------------
% 1.36/0.53 % (18157)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.53 % (18171)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.36/0.53 % (18154)First to succeed.
% 1.36/0.53 % (18170)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.53 % (18148)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.36/0.53 % (18169)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.53 % (18167)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.53 % (18148)Refutation not found, incomplete strategy% (18148)------------------------------
% 1.36/0.53 % (18148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (18150)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.36/0.53 % (18148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (18148)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.53
% 1.36/0.53 % (18148)Memory used [KB]: 1535
% 1.36/0.53 % (18148)Time elapsed: 0.133 s
% 1.36/0.53 % (18148)Instructions burned: 5 (million)
% 1.36/0.53 % (18148)------------------------------
% 1.36/0.53 % (18148)------------------------------
% 1.36/0.53 % (18168)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.36/0.54 % (18152)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.53/0.54 % (18145)Instruction limit reached!
% 1.53/0.54 % (18145)------------------------------
% 1.53/0.54 % (18145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (18145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (18145)Termination reason: Unknown
% 1.53/0.54 % (18145)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (18145)Memory used [KB]: 6012
% 1.53/0.54 % (18145)Time elapsed: 0.145 s
% 1.53/0.54 % (18145)Instructions burned: 4 (million)
% 1.53/0.54 % (18145)------------------------------
% 1.53/0.54 % (18145)------------------------------
% 1.53/0.54 % (18161)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.53/0.54 % (18149)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.53/0.54 % (18161)Instruction limit reached!
% 1.53/0.54 % (18161)------------------------------
% 1.53/0.54 % (18161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (18161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (18161)Termination reason: Unknown
% 1.53/0.54 % (18161)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (18161)Memory used [KB]: 1535
% 1.53/0.54 % (18161)Time elapsed: 0.002 s
% 1.53/0.54 % (18161)Instructions burned: 3 (million)
% 1.53/0.54 % (18161)------------------------------
% 1.53/0.54 % (18161)------------------------------
% 1.53/0.54 % (18164)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.54 % (18160)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.53/0.54 % (18144)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.53/0.54 % (18160)Instruction limit reached!
% 1.53/0.54 % (18160)------------------------------
% 1.53/0.54 % (18160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (18160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (18160)Termination reason: Unknown
% 1.53/0.54 % (18160)Termination phase: Function definition elimination
% 1.53/0.54
% 1.53/0.54 % (18160)Memory used [KB]: 1535
% 1.53/0.54 % (18160)Time elapsed: 0.002 s
% 1.53/0.54 % (18160)Instructions burned: 3 (million)
% 1.53/0.54 % (18160)------------------------------
% 1.53/0.54 % (18160)------------------------------
% 1.53/0.54 % (18146)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.53/0.54 % (18159)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.54 % (18147)Instruction limit reached!
% 1.53/0.54 % (18147)------------------------------
% 1.53/0.54 % (18147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (18147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (18147)Termination reason: Unknown
% 1.53/0.54 % (18147)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (18147)Memory used [KB]: 6140
% 1.53/0.54 % (18147)Time elapsed: 0.150 s
% 1.53/0.54 % (18147)Instructions burned: 15 (million)
% 1.53/0.54 % (18147)------------------------------
% 1.53/0.54 % (18147)------------------------------
% 1.53/0.55 % (18162)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.53/0.55 % (18172)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.53/0.55 % (18154)Refutation found. Thanks to Tanya!
% 1.53/0.55 % SZS status Theorem for theBenchmark
% 1.53/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.55 % (18154)------------------------------
% 1.53/0.55 % (18154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (18154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (18154)Termination reason: Refutation
% 1.53/0.55
% 1.53/0.55 % (18154)Memory used [KB]: 6140
% 1.53/0.55 % (18154)Time elapsed: 0.136 s
% 1.53/0.55 % (18154)Instructions burned: 6 (million)
% 1.53/0.55 % (18154)------------------------------
% 1.53/0.55 % (18154)------------------------------
% 1.53/0.55 % (18142)Success in time 0.205 s
%------------------------------------------------------------------------------