TSTP Solution File: GEO609+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO609+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 : n004.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 : Sun May 5 05:33:46 EDT 2024
% Result : Theorem 30.84s 4.74s
% Output : Refutation 30.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 180 ( 71 unt; 0 def)
% Number of atoms : 417 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 367 ( 130 ~; 116 |; 80 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 588 ( 560 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f462143,plain,
$false,
inference(subsumption_resolution,[],[f462108,f442181]) ).
fof(f442181,plain,
! [X0] : cong(sK10,X0,sK10,X0),
inference(unit_resulting_resolution,[],[f390199,f390199,f390199,f6107,f465]) ).
fof(f465,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(f6107,plain,
! [X0,X1] : eqangle(sK8,sK10,X0,X1,sK8,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f5934,f453]) ).
fof(f453,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(f5934,plain,
para(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f633,f618,f469]) ).
fof(f469,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(f618,plain,
perp(sK4,sK6,sK8,sK10),
inference(unit_resulting_resolution,[],[f606,f403]) ).
fof(f403,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(f606,plain,
perp(sK4,sK6,sK10,sK8),
inference(unit_resulting_resolution,[],[f381,f404]) ).
fof(f404,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(f381,plain,
perp(sK10,sK8,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK9,sK10,sK4,sK7)
& coll(sK10,sK4,sK6)
& perp(sK10,sK8,sK4,sK6)
& coll(sK9,sK4,sK5)
& perp(sK9,sK8,sK4,sK5)
& circle(sK7,sK4,sK8,sK11)
& para(sK5,sK6,sK8,sK4)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK9,sK10,sK4,sK7)
& coll(sK10,sK4,sK6)
& perp(sK10,sK8,sK4,sK6)
& coll(sK9,sK4,sK5)
& perp(sK9,sK8,sK4,sK5)
& circle(sK7,sK4,sK8,sK11)
& para(sK5,sK6,sK8,sK4)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) )
=> para(X5,X6,X0,X3) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X4,X5,X12,X18] :
( ( coll(X12,X0,X2)
& perp(X12,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X7,X0,X4,X18)
& para(X1,X2,X4,X0)
& circle(X7,X0,X1,X2) )
=> para(X5,X12,X0,X7) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X4,X5,X12,X18] :
( ( coll(X12,X0,X2)
& perp(X12,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X7,X0,X4,X18)
& para(X1,X2,X4,X0)
& circle(X7,X0,X1,X2) )
=> para(X5,X12,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
fof(f633,plain,
perp(sK8,sK10,sK4,sK6),
inference(unit_resulting_resolution,[],[f618,f404]) ).
fof(f390199,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f115866,f115866,f440]) ).
fof(f440,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(f115866,plain,
! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
inference(unit_resulting_resolution,[],[f107468,f107468,f440]) ).
fof(f107468,plain,
! [X0,X1] : cyclic(sK4,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f102847,f102847,f440]) ).
fof(f102847,plain,
! [X0] : cyclic(sK5,sK4,sK4,X0),
inference(unit_resulting_resolution,[],[f101002,f396]) ).
fof(f396,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(f101002,plain,
! [X0] : cyclic(sK5,sK4,X0,sK4),
inference(unit_resulting_resolution,[],[f68616,f397]) ).
fof(f397,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(f68616,plain,
! [X0] : cyclic(sK5,X0,sK4,sK4),
inference(unit_resulting_resolution,[],[f6130,f65462,f414]) ).
fof(f414,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(f65462,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f64345,f64345,f406]) ).
fof(f406,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(f64345,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f64333,f389]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f64333,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f377,f64066,f495]) ).
fof(f495,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f64066,plain,
! [X0,X1] : eqangle(X0,X1,X0,X1,sK5,sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f21598,f493]) ).
fof(f493,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f21598,plain,
! [X0,X1] : eqangle(X0,X1,sK5,sK6,X0,X1,sK8,sK4),
inference(unit_resulting_resolution,[],[f3358,f490]) ).
fof(f490,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(f3358,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK8,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f377,f453]) ).
fof(f377,plain,
para(sK5,sK6,sK8,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f6130,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f5960,f453]) ).
fof(f5960,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f614,f629,f469]) ).
fof(f629,plain,
perp(sK8,sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f614,f404]) ).
fof(f614,plain,
perp(sK4,sK5,sK8,sK9),
inference(unit_resulting_resolution,[],[f605,f403]) ).
fof(f605,plain,
perp(sK4,sK5,sK9,sK8),
inference(unit_resulting_resolution,[],[f379,f404]) ).
fof(f379,plain,
perp(sK9,sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f462108,plain,
~ cong(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f3699,f457273,f391]) ).
fof(f391,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(f457273,plain,
~ midp(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f8575,f8707,f447324,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f447324,plain,
~ midp(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f442901,f100999]) ).
fof(f100999,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X0,X1,X2) ),
inference(subsumption_resolution,[],[f100938,f68564]) ).
fof(f68564,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f65462,f65462,f406]) ).
fof(f100938,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ midp(X2,X1,X0) ),
inference(resolution,[],[f64346,f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f64346,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f64333,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f442901,plain,
~ midp(sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f562,f442858,f433]) ).
fof(f433,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(f442858,plain,
! [X0] : midp(sK7,X0,X0),
inference(unit_resulting_resolution,[],[f68564,f439239,f391]) ).
fof(f439239,plain,
! [X0] : cong(sK7,X0,sK7,X0),
inference(unit_resulting_resolution,[],[f390199,f390199,f390199,f6242,f465]) ).
fof(f6242,plain,
! [X0,X1] : eqangle(sK4,sK7,X0,X1,sK4,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f5974,f453]) ).
fof(f5974,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f3295,f3314,f469]) ).
fof(f3314,plain,
perp(sK4,sK13(sK4,sK8,sK11,sK7),sK4,sK7),
inference(unit_resulting_resolution,[],[f3295,f404]) ).
fof(f3295,plain,
perp(sK4,sK7,sK4,sK13(sK4,sK8,sK11,sK7)),
inference(unit_resulting_resolution,[],[f3278,f403]) ).
fof(f3278,plain,
perp(sK4,sK7,sK13(sK4,sK8,sK11,sK7),sK4),
inference(unit_resulting_resolution,[],[f3269,f404]) ).
fof(f3269,plain,
perp(sK13(sK4,sK8,sK11,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f378,f417]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f378,plain,
circle(sK7,sK4,sK8,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f562,plain,
~ para(sK4,sK7,sK10,sK9),
inference(unit_resulting_resolution,[],[f555,f399]) ).
fof(f555,plain,
~ para(sK4,sK7,sK9,sK10),
inference(unit_resulting_resolution,[],[f383,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f383,plain,
~ para(sK9,sK10,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f8707,plain,
para(sK8,sK4,sK8,sK9),
inference(unit_resulting_resolution,[],[f8575,f400]) ).
fof(f8575,plain,
para(sK8,sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f377,f8548,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f8548,plain,
para(sK8,sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f629,f6411,f469]) ).
fof(f6411,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f6330,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f6330,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f6279,f387]) ).
fof(f387,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(f6279,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f680,f6258,f406]) ).
fof(f6258,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f6251,f6251,f406]) ).
fof(f6251,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f6230,f6230,f406]) ).
fof(f6230,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f5974,f389]) ).
fof(f680,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f512,f512,f406]) ).
fof(f512,plain,
coll(sK6,sK10,sK4),
inference(unit_resulting_resolution,[],[f502,f388]) ).
fof(f388,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(f502,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f382,f387]) ).
fof(f382,plain,
coll(sK10,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f3699,plain,
coll(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f3547,f3568,f406]) ).
fof(f3568,plain,
coll(sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f3503,f387]) ).
fof(f3503,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f3483,f3483,f406]) ).
fof(f3483,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f3466,f3466,f406]) ).
fof(f3466,plain,
coll(sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f3413,f389]) ).
fof(f3413,plain,
para(sK8,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f564,f575,f466]) ).
fof(f575,plain,
para(sK6,sK5,sK8,sK4),
inference(unit_resulting_resolution,[],[f564,f400]) ).
fof(f564,plain,
para(sK8,sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f557,f399]) ).
fof(f557,plain,
para(sK8,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f400]) ).
fof(f3547,plain,
coll(sK8,sK4,sK10),
inference(unit_resulting_resolution,[],[f3499,f387]) ).
fof(f3499,plain,
coll(sK8,sK10,sK4),
inference(unit_resulting_resolution,[],[f675,f3483,f406]) ).
fof(f675,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f502,f502,f406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 22:00:08 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (22917)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (22920)WARNING: value z3 for option sas not known
% 0.16/0.33 % (22918)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (22924)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)
% 0.16/0.33 % (22920)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)
% 0.16/0.33 % (22921)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (22922)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)
% 0.16/0.33 % (22919)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (22923)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)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.41 TRYING [1]
% 0.16/0.44 TRYING [2]
% 4.74/1.02 TRYING [1]
% 4.74/1.02 TRYING [2]
% 5.14/1.08 TRYING [3]
% 7.92/1.46 TRYING [3]
% 30.25/4.73 % (22924)First to succeed.
% 30.25/4.73 % (22924)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22917"
% 30.84/4.74 % (22924)Refutation found. Thanks to Tanya!
% 30.84/4.74 % SZS status Theorem for theBenchmark
% 30.84/4.74 % SZS output start Proof for theBenchmark
% See solution above
% 30.84/4.74 % (22924)------------------------------
% 30.84/4.74 % (22924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.84/4.74 % (22924)Termination reason: Refutation
% 30.84/4.74
% 30.84/4.74 % (22924)Memory used [KB]: 51162
% 30.84/4.74 % (22924)Time elapsed: 4.400 s
% 30.84/4.74 % (22924)Instructions burned: 9627 (million)
% 30.84/4.74 % (22917)Success in time 4.388 s
%------------------------------------------------------------------------------