TSTP Solution File: GEO660+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO660+1 : TPTP v8.1.2. Released v7.5.0.
% 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 11:41:56 EDT 2024
% Result : Theorem 28.32s 4.42s
% Output : Refutation 28.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 167 ( 85 unt; 0 def)
% Number of atoms : 356 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 274 ( 85 ~; 74 |; 83 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 421 ( 400 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f470108,plain,
$false,
inference(subsumption_resolution,[],[f470104,f390080]) ).
fof(f390080,plain,
~ cong(sK8,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f1122,f382216,f393]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f382216,plain,
~ midp(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f381247,f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f381247,plain,
~ midp(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f385,f381203,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f381203,plain,
midp(sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f923,f361638,f393]) ).
fof(f361638,plain,
cong(sK9,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f16461,f12754,f10518,f19658,f467]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f19658,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK5,X0,X1,sK4,sK5),
inference(unit_resulting_resolution,[],[f9963,f492]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f9963,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f9910,f455]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f9910,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f648,f377,f471]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f377,plain,
perp(sK7,sK6,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK8,sK9,sK6,sK5)
& coll(sK10,sK4,sK8)
& coll(sK10,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK9,sK9,sK6,sK6,sK5)
& eqangle(sK5,sK4,sK4,sK8,sK8,sK4,sK4,sK6)
& coll(sK9,sK4,sK5)
& coll(sK8,sK6,sK7)
& coll(sK7,sK4,sK5)
& perp(sK7,sK6,sK4,sK5)
& perp(sK6,sK4,sK6,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X4,X5,X2,X1)
& coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> ( ~ para(sK8,sK9,sK6,sK5)
& coll(sK10,sK4,sK8)
& coll(sK10,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK9,sK9,sK6,sK6,sK5)
& eqangle(sK5,sK4,sK4,sK8,sK8,sK4,sK4,sK6)
& coll(sK9,sK4,sK5)
& coll(sK8,sK6,sK7)
& coll(sK7,sK4,sK5)
& perp(sK7,sK6,sK4,sK5)
& perp(sK6,sK4,sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X4,X5,X2,X1)
& coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X4,X5,X2,X1)
& coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> para(X4,X5,X2,X1) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12] :
( ( coll(X12,X0,X4)
& coll(X12,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> para(X4,X5,X2,X1) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12] :
( ( coll(X12,X0,X4)
& coll(X12,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> para(X4,X5,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
fof(f648,plain,
perp(sK4,sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f377,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f10518,plain,
cyclic(sK9,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f10421,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f10421,plain,
cyclic(sK5,sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f740,f9963,f416]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f740,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f505,f505,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f505,plain,
coll(sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f380,f389]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f380,plain,
coll(sK9,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f12754,plain,
cyclic(sK9,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f10435,f11297,f442]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f11297,plain,
cyclic(sK4,sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f10749,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f10749,plain,
cyclic(sK4,sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f10516,f397]) ).
fof(f10516,plain,
cyclic(sK5,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f10421,f399]) ).
fof(f10435,plain,
cyclic(sK4,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f739,f10137,f416]) ).
fof(f10137,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f9901,f455]) ).
fof(f9901,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f668,f683,f471]) ).
fof(f683,plain,
perp(sK6,sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f668,f406]) ).
fof(f668,plain,
perp(sK5,sK4,sK6,sK7),
inference(unit_resulting_resolution,[],[f650,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f650,plain,
perp(sK5,sK4,sK7,sK6),
inference(unit_resulting_resolution,[],[f640,f406]) ).
fof(f640,plain,
perp(sK7,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f405]) ).
fof(f739,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f380,f380,f408]) ).
fof(f16461,plain,
cyclic(sK9,sK5,sK4,sK9),
inference(unit_resulting_resolution,[],[f11297,f12722,f442]) ).
fof(f12722,plain,
cyclic(sK4,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f11276,f11284,f442]) ).
fof(f11284,plain,
cyclic(sK4,sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f10748,f10748,f442]) ).
fof(f10748,plain,
cyclic(sK5,sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f10516,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f11276,plain,
cyclic(sK4,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f10660,f10748,f442]) ).
fof(f10660,plain,
cyclic(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f10483,f398]) ).
fof(f10483,plain,
cyclic(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f10417,f399]) ).
fof(f10417,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f725,f9963,f416]) ).
fof(f725,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f528,f528,f408]) ).
fof(f528,plain,
coll(sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f505,f390]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f923,plain,
coll(sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f794,f390]) ).
fof(f794,plain,
coll(sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f739,f389]) ).
fof(f385,plain,
~ para(sK8,sK9,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f1122,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f858,f389]) ).
fof(f858,plain,
coll(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f726,f737,f408]) ).
fof(f737,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f504,f504,f408]) ).
fof(f504,plain,
coll(sK8,sK7,sK6),
inference(unit_resulting_resolution,[],[f379,f389]) ).
fof(f379,plain,
coll(sK8,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f726,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f530,f530,f408]) ).
fof(f530,plain,
coll(sK5,sK10,sK6),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f383,plain,
coll(sK10,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f470104,plain,
cong(sK8,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f364320,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f364320,plain,
cong(sK8,sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f21067,f21070,f11432,f60008,f467]) ).
fof(f60008,plain,
eqangle(sK4,sK8,sK4,sK6,sK4,sK5,sK4,sK8),
inference(unit_resulting_resolution,[],[f59866,f493]) ).
fof(f493,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f59866,plain,
eqangle(sK8,sK4,sK4,sK6,sK4,sK5,sK4,sK8),
inference(unit_resulting_resolution,[],[f20828,f494]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(f20828,plain,
eqangle(sK4,sK5,sK4,sK8,sK8,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f381,f493]) ).
fof(f381,plain,
eqangle(sK5,sK4,sK4,sK8,sK8,sK4,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f11432,plain,
cyclic(sK8,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f10427,f397]) ).
fof(f10427,plain,
cyclic(sK6,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f738,f10259,f416]) ).
fof(f10259,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f9931,f455]) ).
fof(f9931,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f679,f664,f471]) ).
fof(f664,plain,
perp(sK5,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f649,f405]) ).
fof(f649,plain,
perp(sK5,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f639,f406]) ).
fof(f639,plain,
perp(sK6,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f405]) ).
fof(f376,plain,
perp(sK6,sK4,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f679,plain,
perp(sK4,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f664,f406]) ).
fof(f738,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f532,f532,f408]) ).
fof(f532,plain,
coll(sK8,sK10,sK4),
inference(unit_resulting_resolution,[],[f507,f390]) ).
fof(f507,plain,
coll(sK10,sK8,sK4),
inference(unit_resulting_resolution,[],[f384,f389]) ).
fof(f384,plain,
coll(sK10,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f21070,plain,
cyclic(sK8,sK6,sK4,sK8),
inference(unit_resulting_resolution,[],[f14339,f14372,f442]) ).
fof(f14372,plain,
cyclic(sK6,sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f12010,f398]) ).
fof(f12010,plain,
cyclic(sK6,sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f10958,f399]) ).
fof(f10958,plain,
cyclic(sK6,sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f10582,f397]) ).
fof(f10582,plain,
cyclic(sK4,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f10448,f399]) ).
fof(f10448,plain,
cyclic(sK4,sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f737,f10002,f416]) ).
fof(f10002,plain,
! [X0,X1] : eqangle(sK6,sK4,X0,X1,sK6,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f9902,f455]) ).
fof(f9902,plain,
para(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f639,f649,f471]) ).
fof(f14339,plain,
cyclic(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f11997,f399]) ).
fof(f11997,plain,
cyclic(sK6,sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f10957,f10957,f442]) ).
fof(f10957,plain,
cyclic(sK4,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f10582,f398]) ).
fof(f21067,plain,
cyclic(sK8,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f14254,f14372,f442]) ).
fof(f14254,plain,
cyclic(sK6,sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f11990,f399]) ).
fof(f11990,plain,
cyclic(sK6,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f10902,f10957,f442]) ).
fof(f10902,plain,
cyclic(sK4,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f10549,f398]) ).
fof(f10549,plain,
cyclic(sK4,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f10445,f399]) ).
fof(f10445,plain,
cyclic(sK4,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f726,f10002,f416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO660+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 06:02:04 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (27389)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (27392)WARNING: value z3 for option sas not known
% 0.12/0.36 % (27391)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (27396)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)
% 0.12/0.36 % (27394)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)
% 0.12/0.36 % (27392)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)
% 0.12/0.36 % (27393)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (27395)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)
% 0.12/0.36 % (27390)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.18/0.43 TRYING [3]
% 0.18/0.44 TRYING [1]
% 0.18/0.46 TRYING [2]
% 2.56/0.75 TRYING [1]
% 2.56/0.76 TRYING [2]
% 3.06/0.81 TRYING [3]
% 6.32/1.30 TRYING [3]
% 28.32/4.40 % (27396)First to succeed.
% 28.32/4.42 % (27396)Refutation found. Thanks to Tanya!
% 28.32/4.42 % SZS status Theorem for theBenchmark
% 28.32/4.42 % SZS output start Proof for theBenchmark
% See solution above
% 28.32/4.42 % (27396)------------------------------
% 28.32/4.42 % (27396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 28.32/4.42 % (27396)Termination reason: Refutation
% 28.32/4.42
% 28.32/4.42 % (27396)Memory used [KB]: 51505
% 28.32/4.42 % (27396)Time elapsed: 4.030 s
% 28.32/4.42 % (27396)Instructions burned: 10892 (million)
% 28.32/4.42 % (27396)------------------------------
% 28.32/4.42 % (27396)------------------------------
% 28.32/4.42 % (27389)Success in time 4.066 s
%------------------------------------------------------------------------------