TSTP Solution File: GEO585+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.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 16:13:08 EDT 2022
% Result : Theorem 1.67s 0.64s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 17 unt; 0 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 237 ( 71 ~; 62 |; 77 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 414 ( 382 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1121,plain,
$false,
inference(resolution,[],[f1061,f520]) ).
fof(f520,plain,
~ cyclic(sK8,sK14,sK7,sK13),
inference(cnf_transformation,[],[f393]) ).
fof(f393,plain,
( perp(sK8,sK7,sK10,sK14)
& perp(sK9,sK7,sK8,sK13)
& perp(sK10,sK7,sK8,sK14)
& perp(sK8,sK10,sK7,sK14)
& perp(sK8,sK7,sK9,sK13)
& ~ cyclic(sK8,sK14,sK7,sK13)
& circle(sK12,sK8,sK7,sK11)
& perp(sK8,sK9,sK7,sK13)
& circle(sK12,sK8,sK10,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f391,f392]) ).
fof(f392,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X1,X0,X3,X7)
& perp(X2,X0,X1,X6)
& perp(X3,X0,X1,X7)
& perp(X1,X3,X0,X7)
& perp(X1,X0,X2,X6)
& ~ cyclic(X1,X7,X0,X6)
& circle(X5,X1,X0,X4)
& perp(X1,X2,X0,X6)
& circle(X5,X1,X3,X2) )
=> ( perp(sK8,sK7,sK10,sK14)
& perp(sK9,sK7,sK8,sK13)
& perp(sK10,sK7,sK8,sK14)
& perp(sK8,sK10,sK7,sK14)
& perp(sK8,sK7,sK9,sK13)
& ~ cyclic(sK8,sK14,sK7,sK13)
& circle(sK12,sK8,sK7,sK11)
& perp(sK8,sK9,sK7,sK13)
& circle(sK12,sK8,sK10,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f391,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X1,X0,X3,X7)
& perp(X2,X0,X1,X6)
& perp(X3,X0,X1,X7)
& perp(X1,X3,X0,X7)
& perp(X1,X0,X2,X6)
& ~ cyclic(X1,X7,X0,X6)
& circle(X5,X1,X0,X4)
& perp(X1,X2,X0,X6)
& circle(X5,X1,X3,X2) ),
inference(rectify,[],[f258]) ).
fof(f258,plain,
? [X1,X3,X5,X7,X4,X6,X2,X0] :
( perp(X3,X1,X7,X0)
& perp(X5,X1,X3,X2)
& perp(X7,X1,X3,X0)
& perp(X3,X7,X1,X0)
& perp(X3,X1,X5,X2)
& ~ cyclic(X3,X0,X1,X2)
& circle(X6,X3,X1,X4)
& perp(X3,X5,X1,X2)
& circle(X6,X3,X7,X5) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
? [X3,X6,X2,X5,X0,X4,X1,X7] :
( ~ cyclic(X3,X0,X1,X2)
& circle(X6,X3,X1,X4)
& perp(X3,X1,X7,X0)
& circle(X6,X3,X7,X5)
& perp(X7,X1,X3,X0)
& perp(X3,X5,X1,X2)
& perp(X3,X1,X5,X2)
& perp(X5,X1,X3,X2)
& perp(X3,X7,X1,X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
~ ! [X3,X6,X2,X5,X0,X4,X1,X7] :
( ( circle(X6,X3,X1,X4)
& perp(X3,X1,X7,X0)
& circle(X6,X3,X7,X5)
& perp(X7,X1,X3,X0)
& perp(X3,X5,X1,X2)
& perp(X3,X1,X5,X2)
& perp(X5,X1,X3,X2)
& perp(X3,X7,X1,X0) )
=> cyclic(X3,X0,X1,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X10,X3,X11,X0,X18,X2,X7,X1] :
( ( perp(X2,X3,X0,X11)
& perp(X1,X3,X0,X10)
& circle(X7,X0,X1,X2)
& perp(X0,X3,X2,X11)
& perp(X0,X3,X1,X10)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X3,X11)
& perp(X0,X1,X3,X10) )
=> cyclic(X0,X10,X3,X11) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X10,X3,X11,X0,X18,X2,X7,X1] :
( ( perp(X2,X3,X0,X11)
& perp(X1,X3,X0,X10)
& circle(X7,X0,X1,X2)
& perp(X0,X3,X2,X11)
& perp(X0,X3,X1,X10)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X3,X11)
& perp(X0,X1,X3,X10) )
=> cyclic(X0,X10,X3,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).
fof(f1061,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X3,X2),
inference(subsumption_resolution,[],[f1056,f1010]) ).
fof(f1010,plain,
! [X2,X0,X1] : cyclic(sK7,X0,X2,X1),
inference(subsumption_resolution,[],[f1005,f977]) ).
fof(f977,plain,
! [X0,X1] : cyclic(sK13,sK7,X1,X0),
inference(subsumption_resolution,[],[f972,f964]) ).
fof(f964,plain,
! [X2] : cyclic(sK13,sK13,sK7,X2),
inference(subsumption_resolution,[],[f961,f887]) ).
fof(f887,plain,
! [X6,X7,X5] : coll(X6,X7,X5),
inference(subsumption_resolution,[],[f880,f869]) ).
fof(f869,plain,
! [X10,X11] : coll(X10,X10,X11),
inference(resolution,[],[f855,f536]) ).
fof(f536,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ coll(X2,X0,X1)
| coll(X2,X1,X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( coll(X2,X0,X1)
=> coll(X2,X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X2,X0] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f855,plain,
! [X8,X9] : coll(X8,X9,X8),
inference(resolution,[],[f846,f546]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ coll(X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ coll(X1,X0,X2) ),
inference(rectify,[],[f259]) ).
fof(f259,plain,
! [X0,X2,X1] :
( coll(X0,X2,X1)
| ~ coll(X2,X0,X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
! [X2,X1,X0] :
( coll(X2,X0,X1)
=> coll(X0,X2,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f846,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f837,f544]) ).
fof(f544,plain,
! [X2,X0,X1] :
( ~ para(X0,X2,X0,X1)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f417,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ para(X0,X2,X0,X1) ),
inference(rectify,[],[f220]) ).
fof(f220,plain,
! [X0,X2,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X2,X1] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f837,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f826,f567]) ).
fof(f567,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X4,X3,X1,X5,X2,X3,X1)
| para(X0,X4,X5,X2) ),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X4,X3,X1,X5,X2,X3,X1)
| para(X0,X4,X5,X2) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X5,X0,X1,X4,X2,X3] :
( ~ eqangle(X5,X2,X4,X0,X3,X1,X4,X0)
| para(X5,X2,X3,X1) ),
inference(ennf_transformation,[],[f184]) ).
fof(f184,plain,
! [X2,X3,X4,X1,X0,X5] :
( eqangle(X5,X2,X4,X0,X3,X1,X4,X0)
=> para(X5,X2,X3,X1) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X9,X3,X1,X2,X8,X0] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f826,plain,
! [X0,X1] : eqangle(X0,X1,sK7,sK13,X0,X1,sK7,sK13),
inference(resolution,[],[f749,f484]) ).
fof(f484,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X5,X6,X7,X3,X4,X2)
| eqangle(X5,X6,X0,X1,X4,X2,X7,X3) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X5,X6,X0,X1,X4,X2,X7,X3)
| ~ eqangle(X0,X1,X5,X6,X7,X3,X4,X2) ),
inference(rectify,[],[f213]) ).
fof(f213,plain,
! [X5,X6,X4,X2,X7,X1,X3,X0] :
( eqangle(X1,X3,X5,X6,X7,X4,X0,X2)
| ~ eqangle(X5,X6,X1,X3,X0,X2,X7,X4) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X4,X3,X6,X5,X1,X7,X2] :
( eqangle(X5,X6,X1,X3,X0,X2,X7,X4)
=> eqangle(X1,X3,X5,X6,X7,X4,X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8,X2,X9,X3,X11,X0,X1,X10] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f749,plain,
! [X2,X3] : eqangle(sK7,sK13,X2,X3,sK7,sK13,X2,X3),
inference(resolution,[],[f744,f501]) ).
fof(f501,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X3,X2,X4,X0)
| eqangle(X3,X2,X5,X1,X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X3,X2,X5,X1,X4,X0,X5,X1)
| ~ para(X3,X2,X4,X0) ),
inference(rectify,[],[f269]) ).
fof(f269,plain,
! [X3,X2,X0,X1,X5,X4] :
( eqangle(X1,X0,X4,X2,X5,X3,X4,X2)
| ~ para(X1,X0,X5,X3) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X3,X4,X0,X2,X1,X5] :
( para(X1,X0,X5,X3)
=> eqangle(X1,X0,X4,X2,X5,X3,X4,X2) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X1,X0,X9,X3,X8,X2] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f744,plain,
para(sK7,sK13,sK7,sK13),
inference(resolution,[],[f697,f597]) ).
fof(f597,plain,
perp(sK7,sK13,sK8,sK9),
inference(resolution,[],[f478,f518]) ).
fof(f518,plain,
perp(sK8,sK9,sK7,sK13),
inference(cnf_transformation,[],[f393]) ).
fof(f478,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X1,X0)
| perp(X1,X0,X3,X2) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0,X1,X2,X3] :
( perp(X1,X0,X3,X2)
| ~ perp(X3,X2,X1,X0) ),
inference(rectify,[],[f301]) ).
fof(f301,plain,
! [X3,X1,X2,X0] :
( perp(X1,X3,X0,X2)
| ~ perp(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f147]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( perp(X0,X2,X1,X3)
=> perp(X1,X3,X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f697,plain,
! [X32,X33] :
( ~ perp(X32,X33,sK8,sK9)
| para(X32,X33,sK7,sK13) ),
inference(resolution,[],[f528,f518]) ).
fof(f528,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X5,X3,X1)
| ~ perp(X4,X0,X2,X5)
| para(X4,X0,X3,X1) ),
inference(cnf_transformation,[],[f397]) ).
fof(f397,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X0,X2,X5)
| ~ perp(X2,X5,X3,X1)
| para(X4,X0,X3,X1) ),
inference(rectify,[],[f249]) ).
fof(f249,plain,
! [X0,X5,X4,X2,X3,X1] :
( ~ perp(X3,X0,X4,X1)
| ~ perp(X4,X1,X2,X5)
| para(X3,X0,X2,X5) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X2,X1,X5,X4,X0,X3] :
( para(X3,X0,X2,X5)
| ~ perp(X3,X0,X4,X1)
| ~ perp(X4,X1,X2,X5) ),
inference(ennf_transformation,[],[f134]) ).
fof(f134,plain,
! [X2,X1,X5,X4,X0,X3] :
( ( perp(X3,X0,X4,X1)
& perp(X4,X1,X2,X5) )
=> para(X3,X0,X2,X5) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X3,X4,X0,X2,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f880,plain,
! [X6,X7,X5] :
( ~ coll(X5,X5,X6)
| coll(X6,X7,X5) ),
inference(resolution,[],[f869,f488]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( ~ coll(X1,X3,X0)
| ~ coll(X1,X3,X2)
| coll(X2,X0,X1) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0,X1,X2,X3] :
( coll(X2,X0,X1)
| ~ coll(X1,X3,X2)
| ~ coll(X1,X3,X0) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X0,X3,X2,X1] :
( coll(X2,X0,X3)
| ~ coll(X3,X1,X2)
| ~ coll(X3,X1,X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0,X2,X3,X1] :
( coll(X2,X0,X3)
| ~ coll(X3,X1,X0)
| ~ coll(X3,X1,X2) ),
inference(ennf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X2,X3,X1] :
( ( coll(X3,X1,X0)
& coll(X3,X1,X2) )
=> coll(X2,X0,X3) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X1,X2,X0] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f961,plain,
! [X2] :
( ~ coll(sK7,X2,sK13)
| cyclic(sK13,sK13,sK7,X2) ),
inference(resolution,[],[f589,f828]) ).
fof(f828,plain,
! [X0,X1] : eqangle(sK7,sK13,sK7,sK13,X0,X1,X0,X1),
inference(resolution,[],[f543,f749]) ).
fof(f543,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X7,X3,X5,X2,X6,X4)
| eqangle(X0,X1,X5,X2,X7,X3,X6,X4) ),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X7,X3,X5,X2,X6,X4)
| eqangle(X0,X1,X5,X2,X7,X3,X6,X4) ),
inference(rectify,[],[f194]) ).
fof(f194,plain,
! [X6,X2,X4,X0,X1,X7,X5,X3] :
( ~ eqangle(X6,X2,X3,X0,X7,X4,X5,X1)
| eqangle(X6,X2,X7,X4,X3,X0,X5,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X2,X6,X0,X3,X1,X5,X7,X4] :
( eqangle(X6,X2,X3,X0,X7,X4,X5,X1)
=> eqangle(X6,X2,X7,X4,X3,X0,X5,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X11,X1,X2,X9,X10,X0,X8] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f589,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X3,X2,X3,X0,X1,X2,X1,X0)
| cyclic(X2,X0,X3,X1)
| ~ coll(X3,X1,X0) ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1,X2,X3] :
( cyclic(X2,X0,X3,X1)
| ~ coll(X3,X1,X0)
| ~ eqangle(X3,X2,X3,X0,X1,X2,X1,X0) ),
inference(rectify,[],[f262]) ).
fof(f262,plain,
! [X2,X1,X3,X0] :
( cyclic(X3,X2,X0,X1)
| ~ coll(X0,X1,X2)
| ~ eqangle(X0,X3,X0,X2,X1,X3,X1,X2) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X2,X0,X1,X3] :
( cyclic(X3,X2,X0,X1)
| ~ eqangle(X0,X3,X0,X2,X1,X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f174]) ).
fof(f174,plain,
! [X2,X0,X1,X3] :
( ( eqangle(X0,X3,X0,X2,X1,X3,X1,X2)
& coll(X0,X1,X2) )
=> cyclic(X3,X2,X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X8,X9,X1,X0] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f972,plain,
! [X0,X1] :
( ~ cyclic(sK13,sK13,sK7,X0)
| cyclic(sK13,sK7,X1,X0) ),
inference(resolution,[],[f964,f511]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X2,X1,X0,X3)
| ~ cyclic(X2,X1,X0,X4)
| cyclic(X1,X0,X3,X4) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X2,X1,X0,X3)
| ~ cyclic(X2,X1,X0,X4)
| cyclic(X1,X0,X3,X4) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X0,X2,X1,X3,X4] :
( ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| cyclic(X2,X0,X3,X4) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X2,X4,X3,X1,X0] :
( cyclic(X2,X0,X3,X4)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3) ),
inference(ennf_transformation,[],[f165]) ).
fof(f165,plain,
! [X2,X4,X3,X1,X0] :
( ( cyclic(X1,X2,X0,X4)
& cyclic(X1,X2,X0,X3) )
=> cyclic(X2,X0,X3,X4) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X2,X0,X1,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f1005,plain,
! [X2,X0,X1] :
( ~ cyclic(sK13,sK7,X0,X1)
| cyclic(sK7,X0,X2,X1) ),
inference(resolution,[],[f977,f511]) ).
fof(f1056,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(sK7,X0,X1,X2) ),
inference(resolution,[],[f1010,f511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:01:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.45/0.56 % (24925)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.56 % (24943)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.56 % (24941)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.45/0.57 % (24935)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.57 % (24933)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.45/0.57 % (24927)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.57 % (24927)Instruction limit reached!
% 1.45/0.57 % (24927)------------------------------
% 1.45/0.57 % (24927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.57 % (24927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57 % (24927)Termination reason: Unknown
% 1.45/0.57 % (24927)Termination phase: Preprocessing 1
% 1.45/0.57
% 1.45/0.57 % (24927)Memory used [KB]: 1023
% 1.45/0.57 % (24927)Time elapsed: 0.004 s
% 1.45/0.57 % (24927)Instructions burned: 2 (million)
% 1.45/0.57 % (24927)------------------------------
% 1.45/0.57 % (24927)------------------------------
% 1.67/0.58 % (24926)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.67/0.58 % (24942)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.67/0.59 % (24926)Instruction limit reached!
% 1.67/0.59 % (24926)------------------------------
% 1.67/0.59 % (24926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (24934)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.67/0.59 TRYING [1]
% 1.67/0.60 TRYING [2]
% 1.67/0.60 % (24926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60 % (24926)Termination reason: Unknown
% 1.67/0.60 % (24926)Termination phase: Saturation
% 1.67/0.60
% 1.67/0.60 % (24926)Memory used [KB]: 5756
% 1.67/0.60 % (24926)Time elapsed: 0.009 s
% 1.67/0.60 % (24926)Instructions burned: 7 (million)
% 1.67/0.60 % (24926)------------------------------
% 1.67/0.60 % (24926)------------------------------
% 1.67/0.61 % (24922)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.62 % (24930)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.62 % (24923)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.62 % (24946)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.67/0.62 % (24937)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.62 % (24939)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.67/0.62 % (24921)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.67/0.63 % (24920)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.67/0.63 % (24925)Instruction limit reached!
% 1.67/0.63 % (24925)------------------------------
% 1.67/0.63 % (24925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.63 % (24947)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.67/0.63 % (24925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.63 % (24925)Termination reason: Unknown
% 1.67/0.63 % (24925)Termination phase: Finite model building constraint generation
% 1.67/0.63
% 1.67/0.63 % (24925)Memory used [KB]: 8955
% 1.67/0.63 % (24925)Time elapsed: 0.178 s
% 1.67/0.63 % (24925)Instructions burned: 51 (million)
% 1.67/0.63 % (24925)------------------------------
% 1.67/0.63 % (24925)------------------------------
% 1.67/0.63 % (24936)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.67/0.63 % (24929)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.67/0.63 % (24931)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.67/0.63 % (24934)First to succeed.
% 1.67/0.64 % (24938)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.64 % (24928)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.64 % (24945)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.67/0.64 % (24934)Refutation found. Thanks to Tanya!
% 1.67/0.64 % SZS status Theorem for theBenchmark
% 1.67/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.64 % (24934)------------------------------
% 1.67/0.64 % (24934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.64 % (24934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.64 % (24934)Termination reason: Refutation
% 1.67/0.64
% 1.67/0.64 % (24934)Memory used [KB]: 1663
% 1.67/0.64 % (24934)Time elapsed: 0.192 s
% 1.67/0.64 % (24934)Instructions burned: 31 (million)
% 1.67/0.64 % (24934)------------------------------
% 1.67/0.64 % (24934)------------------------------
% 1.67/0.64 % (24917)Success in time 0.284 s
%------------------------------------------------------------------------------