TSTP Solution File: GEO544+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO544+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 : n016.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 05:18:37 EDT 2024
% Result : Theorem 8.65s 1.58s
% Output : Refutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 201 ( 102 unt; 0 def)
% Number of atoms : 431 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 345 ( 115 ~; 101 |; 92 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 468 ( 435 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138475,plain,
$false,
inference(subsumption_resolution,[],[f138474,f29684]) ).
fof(f29684,plain,
! [X0,X1] : eqangle(sK10,sK10,X0,X1,sK10,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f29248,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(f29248,plain,
para(sK10,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f29234,f29234,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f29234,plain,
midp(sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f1818,f29099,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(f29099,plain,
cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f504,f29052,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f29052,plain,
perp(sK8,sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f29001,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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(f29001,plain,
perp(sK8,sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f28961,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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(f28961,plain,
perp(sK4,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f517,f28936,f409]) ).
fof(f409,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(f28936,plain,
circle(sK10,sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f673,f673,f412]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(f673,plain,
cong(sK10,sK4,sK10,sK8),
inference(unit_resulting_resolution,[],[f379,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f379,plain,
midp(sK10,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK10,sK12,sK5,sK6)
& coll(sK13,sK5,sK6)
& coll(sK13,sK4,sK8)
& cong(sK7,sK11,sK7,sK12)
& coll(sK7,sK11,sK12)
& midp(sK11,sK10,sK9)
& midp(sK10,sK4,sK8)
& midp(sK9,sK6,sK5)
& circle(sK7,sK4,sK8,sK14)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X8,X1,X2)
& coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK10,sK12,sK5,sK6)
& coll(sK13,sK5,sK6)
& coll(sK13,sK4,sK8)
& cong(sK7,sK11,sK7,sK12)
& coll(sK7,sK11,sK12)
& midp(sK11,sK10,sK9)
& midp(sK10,sK4,sK8)
& midp(sK9,sK6,sK5)
& circle(sK7,sK4,sK8,sK14)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X8,X1,X2)
& coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X8,X1,X2)
& coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X6,X8,X1,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X9,X18,X19,X6,X20,X21] :
( ( coll(X20,X1,X2)
& coll(X20,X0,X3)
& cong(X7,X19,X7,X6)
& coll(X7,X19,X6)
& midp(X19,X18,X9)
& midp(X18,X0,X3)
& midp(X9,X2,X1)
& circle(X7,X0,X3,X21)
& circle(X7,X0,X1,X2) )
=> perp(X18,X6,X1,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X9,X18,X19,X6,X20,X21] :
( ( coll(X20,X1,X2)
& coll(X20,X0,X3)
& cong(X7,X19,X7,X6)
& coll(X7,X19,X6)
& midp(X19,X18,X9)
& midp(X18,X0,X3)
& midp(X9,X2,X1)
& circle(X7,X0,X3,X21)
& circle(X7,X0,X1,X2) )
=> perp(X18,X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012004) ).
fof(f517,plain,
coll(sK10,sK4,sK8),
inference(unit_resulting_resolution,[],[f379,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f504,plain,
midp(sK10,sK8,sK4),
inference(unit_resulting_resolution,[],[f379,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(f1818,plain,
coll(sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f517,f1311,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(f1311,plain,
coll(sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f848,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(f848,plain,
coll(sK10,sK10,sK4),
inference(unit_resulting_resolution,[],[f596,f596,f408]) ).
fof(f596,plain,
coll(sK4,sK8,sK10),
inference(unit_resulting_resolution,[],[f555,f389]) ).
fof(f555,plain,
coll(sK4,sK10,sK8),
inference(unit_resulting_resolution,[],[f517,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(f138474,plain,
~ eqangle(sK10,sK10,sK10,sK10,sK10,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f30398,f96844,f441]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD49) ).
fof(f96844,plain,
~ perp(sK11,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f32772,f43444,f470]) ).
fof(f470,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,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,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(f43444,plain,
~ para(sK11,sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f29170,f33566,f2947,f436]) ).
fof(f436,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(f2947,plain,
coll(sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f1101,f1997,f408]) ).
fof(f1997,plain,
coll(sK7,sK11,sK10),
inference(unit_resulting_resolution,[],[f1402,f389]) ).
fof(f1402,plain,
coll(sK7,sK10,sK11),
inference(unit_resulting_resolution,[],[f862,f875,f408]) ).
fof(f875,plain,
coll(sK11,sK11,sK10),
inference(unit_resulting_resolution,[],[f600,f600,f408]) ).
fof(f600,plain,
coll(sK10,sK9,sK11),
inference(unit_resulting_resolution,[],[f557,f389]) ).
fof(f557,plain,
coll(sK10,sK11,sK9),
inference(unit_resulting_resolution,[],[f519,f390]) ).
fof(f519,plain,
coll(sK11,sK10,sK9),
inference(unit_resulting_resolution,[],[f380,f387]) ).
fof(f380,plain,
midp(sK11,sK10,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f862,plain,
coll(sK11,sK11,sK7),
inference(unit_resulting_resolution,[],[f527,f527,f408]) ).
fof(f527,plain,
coll(sK7,sK12,sK11),
inference(unit_resulting_resolution,[],[f381,f389]) ).
fof(f381,plain,
coll(sK7,sK11,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f1101,plain,
coll(sK7,sK11,sK7),
inference(unit_resulting_resolution,[],[f880,f389]) ).
fof(f880,plain,
coll(sK7,sK7,sK11),
inference(unit_resulting_resolution,[],[f576,f576,f408]) ).
fof(f576,plain,
coll(sK11,sK12,sK7),
inference(unit_resulting_resolution,[],[f551,f389]) ).
fof(f551,plain,
coll(sK11,sK7,sK12),
inference(unit_resulting_resolution,[],[f381,f390]) ).
fof(f33566,plain,
~ midp(sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f29121,f33026,f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,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(f33026,plain,
~ para(sK10,sK12,sK7,sK7),
inference(unit_resulting_resolution,[],[f30949,f32217,f468]) ).
fof(f468,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(f32217,plain,
~ para(sK10,sK12,sK5,sK5),
inference(unit_resulting_resolution,[],[f385,f29047,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f29047,plain,
perp(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f28994,f403]) ).
fof(f28994,plain,
perp(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f28957,f404]) ).
fof(f28957,plain,
perp(sK6,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f515,f28934,f409]) ).
fof(f28934,plain,
circle(sK9,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f671,f671,f412]) ).
fof(f671,plain,
cong(sK9,sK6,sK9,sK5),
inference(unit_resulting_resolution,[],[f378,f388]) ).
fof(f378,plain,
midp(sK9,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f515,plain,
coll(sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f378,f387]) ).
fof(f385,plain,
~ perp(sK10,sK12,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f30949,plain,
para(sK7,sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f4774,f30558,f468]) ).
fof(f30558,plain,
para(sK11,sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f4779,f4775,f468]) ).
fof(f4775,plain,
para(sK9,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f378,f378,f434]) ).
fof(f4779,plain,
para(sK11,sK11,sK9,sK9),
inference(unit_resulting_resolution,[],[f380,f380,f434]) ).
fof(f4774,plain,
para(sK7,sK7,sK11,sK11),
inference(unit_resulting_resolution,[],[f3856,f3856,f434]) ).
fof(f3856,plain,
midp(sK7,sK12,sK11),
inference(unit_resulting_resolution,[],[f527,f727,f393]) ).
fof(f727,plain,
cong(sK7,sK12,sK7,sK11),
inference(unit_resulting_resolution,[],[f382,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f382,plain,
cong(sK7,sK11,sK7,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f29121,plain,
midp(sK12,sK7,sK7),
inference(unit_resulting_resolution,[],[f1502,f29063,f393]) ).
fof(f29063,plain,
cong(sK12,sK7,sK12,sK7),
inference(unit_resulting_resolution,[],[f3856,f29016,f411]) ).
fof(f29016,plain,
perp(sK12,sK12,sK12,sK11),
inference(unit_resulting_resolution,[],[f28968,f403]) ).
fof(f28968,plain,
perp(sK12,sK12,sK11,sK12),
inference(unit_resulting_resolution,[],[f28949,f404]) ).
fof(f28949,plain,
perp(sK11,sK12,sK12,sK12),
inference(unit_resulting_resolution,[],[f381,f28932,f409]) ).
fof(f28932,plain,
circle(sK7,sK11,sK12,sK12),
inference(unit_resulting_resolution,[],[f382,f382,f412]) ).
fof(f1502,plain,
coll(sK12,sK7,sK7),
inference(unit_resulting_resolution,[],[f381,f1101,f408]) ).
fof(f29170,plain,
midp(sK11,sK7,sK7),
inference(unit_resulting_resolution,[],[f1504,f29085,f393]) ).
fof(f29085,plain,
cong(sK11,sK7,sK11,sK7),
inference(unit_resulting_resolution,[],[f3855,f29042,f411]) ).
fof(f29042,plain,
perp(sK11,sK11,sK11,sK12),
inference(unit_resulting_resolution,[],[f28987,f403]) ).
fof(f28987,plain,
perp(sK11,sK11,sK12,sK11),
inference(unit_resulting_resolution,[],[f28953,f404]) ).
fof(f28953,plain,
perp(sK12,sK11,sK11,sK11),
inference(unit_resulting_resolution,[],[f527,f28933,f409]) ).
fof(f28933,plain,
circle(sK7,sK12,sK11,sK11),
inference(unit_resulting_resolution,[],[f727,f727,f412]) ).
fof(f3855,plain,
midp(sK7,sK11,sK12),
inference(unit_resulting_resolution,[],[f381,f382,f393]) ).
fof(f1504,plain,
coll(sK11,sK7,sK7),
inference(unit_resulting_resolution,[],[f1101,f390]) ).
fof(f32772,plain,
perp(sK10,sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f30777,f29439,f469]) ).
fof(f29439,plain,
perp(sK12,sK12,sK7,sK7),
inference(unit_resulting_resolution,[],[f29063,f29063,f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f30777,plain,
para(sK10,sK10,sK12,sK12),
inference(unit_resulting_resolution,[],[f16786,f5757,f468]) ).
fof(f5757,plain,
para(sK11,sK11,sK12,sK12),
inference(unit_resulting_resolution,[],[f3855,f3855,f435]) ).
fof(f16786,plain,
para(sK10,sK10,sK11,sK11),
inference(unit_resulting_resolution,[],[f4780,f402]) ).
fof(f402,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(f4780,plain,
para(sK11,sK11,sK10,sK10),
inference(unit_resulting_resolution,[],[f505,f505,f434]) ).
fof(f505,plain,
midp(sK11,sK9,sK10),
inference(unit_resulting_resolution,[],[f380,f386]) ).
fof(f30398,plain,
circle(sK11,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f29816,f29816,f412]) ).
fof(f29816,plain,
cong(sK11,sK10,sK11,sK10),
inference(unit_resulting_resolution,[],[f29378,f29549,f411]) ).
fof(f29549,plain,
perp(sK11,sK11,sK11,sK11),
inference(unit_resulting_resolution,[],[f1767,f29262,f409]) ).
fof(f29262,plain,
circle(sK9,sK11,sK11,sK11),
inference(unit_resulting_resolution,[],[f29106,f29106,f412]) ).
fof(f29106,plain,
cong(sK9,sK11,sK9,sK11),
inference(unit_resulting_resolution,[],[f505,f29057,f411]) ).
fof(f29057,plain,
perp(sK9,sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f29008,f403]) ).
fof(f29008,plain,
perp(sK9,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f28965,f404]) ).
fof(f28965,plain,
perp(sK10,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f519,f28938,f409]) ).
fof(f28938,plain,
circle(sK11,sK10,sK9,sK9),
inference(unit_resulting_resolution,[],[f675,f675,f412]) ).
fof(f675,plain,
cong(sK11,sK10,sK11,sK9),
inference(unit_resulting_resolution,[],[f380,f388]) ).
fof(f1767,plain,
coll(sK9,sK11,sK11),
inference(unit_resulting_resolution,[],[f1117,f871,f408]) ).
fof(f871,plain,
coll(sK11,sK11,sK9),
inference(unit_resulting_resolution,[],[f632,f632,f408]) ).
fof(f632,plain,
coll(sK9,sK10,sK11),
inference(unit_resulting_resolution,[],[f558,f389]) ).
fof(f558,plain,
coll(sK9,sK11,sK10),
inference(unit_resulting_resolution,[],[f520,f390]) ).
fof(f520,plain,
coll(sK11,sK9,sK10),
inference(unit_resulting_resolution,[],[f505,f387]) ).
fof(f1117,plain,
coll(sK11,sK11,sK11),
inference(unit_resulting_resolution,[],[f947,f947,f408]) ).
fof(f947,plain,
coll(sK11,sK7,sK11),
inference(unit_resulting_resolution,[],[f862,f389]) ).
fof(f29378,plain,
midp(sK10,sK11,sK11),
inference(unit_resulting_resolution,[],[f1536,f29155,f393]) ).
fof(f29155,plain,
cong(sK10,sK11,sK10,sK11),
inference(unit_resulting_resolution,[],[f380,f29079,f411]) ).
fof(f29079,plain,
perp(sK10,sK10,sK10,sK9),
inference(unit_resulting_resolution,[],[f29034,f403]) ).
fof(f29034,plain,
perp(sK10,sK10,sK9,sK10),
inference(unit_resulting_resolution,[],[f28984,f404]) ).
fof(f28984,plain,
perp(sK9,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f520,f28939,f409]) ).
fof(f28939,plain,
circle(sK11,sK9,sK10,sK10),
inference(unit_resulting_resolution,[],[f676,f676,f412]) ).
fof(f676,plain,
cong(sK11,sK9,sK11,sK10),
inference(unit_resulting_resolution,[],[f505,f388]) ).
fof(f1536,plain,
coll(sK10,sK11,sK11),
inference(unit_resulting_resolution,[],[f875,f1117,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO544+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 22:00:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (3797)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (3800)WARNING: value z3 for option sas not known
% 0.13/0.37 % (3798)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (3801)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (3799)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (3804)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)
% 0.13/0.37 % (3803)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)
% 0.13/0.37 % (3800)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)
% 0.13/0.37 % (3802)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.46 TRYING [1]
% 0.20/0.49 TRYING [2]
% 3.41/0.83 TRYING [1]
% 3.41/0.84 TRYING [2]
% 3.41/0.87 TRYING [3]
% 5.39/1.11 TRYING [3]
% 8.65/1.57 % (3804)First to succeed.
% 8.65/1.58 % (3804)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3797"
% 8.65/1.58 % (3804)Refutation found. Thanks to Tanya!
% 8.65/1.58 % SZS status Theorem for theBenchmark
% 8.65/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 8.65/1.58 % (3804)------------------------------
% 8.65/1.58 % (3804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.65/1.58 % (3804)Termination reason: Refutation
% 8.65/1.58
% 8.65/1.58 % (3804)Memory used [KB]: 24439
% 8.65/1.58 % (3804)Time elapsed: 1.206 s
% 8.65/1.58 % (3804)Instructions burned: 3950 (million)
% 8.65/1.58 % (3797)Success in time 1.209 s
%------------------------------------------------------------------------------