TSTP Solution File: GEO575+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO575+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 : n021.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 11:24:24 EDT 2024
% Result : Theorem 40.48s 6.17s
% Output : Refutation 40.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of formulae : 181 ( 82 unt; 0 def)
% Number of atoms : 401 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 334 ( 114 ~; 99 |; 83 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 505 ( 474 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f978199,plain,
$false,
inference(subsumption_resolution,[],[f971572,f971368]) ).
fof(f971368,plain,
perp(sK5,sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f469828,f384835,f469828,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| perp(X2,X0,X0,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).
fof(f384835,plain,
! [X0] : cyclic(sK10,sK10,sK5,X0),
inference(unit_resulting_resolution,[],[f17134,f115769,f441]) ).
fof(f441,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(f115769,plain,
! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
inference(unit_resulting_resolution,[],[f106890,f106890,f441]) ).
fof(f106890,plain,
! [X0,X1] : cyclic(sK4,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f101473,f101473,f441]) ).
fof(f101473,plain,
! [X0] : cyclic(sK7,sK4,sK4,X0),
inference(unit_resulting_resolution,[],[f99071,f397]) ).
fof(f397,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(f99071,plain,
! [X0] : cyclic(sK7,sK4,X0,sK4),
inference(unit_resulting_resolution,[],[f66587,f398]) ).
fof(f398,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(f66587,plain,
! [X0] : cyclic(sK7,X0,sK4,sK4),
inference(unit_resulting_resolution,[],[f7782,f63341,f415]) ).
fof(f415,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(f63341,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f62287,f62287,f407]) ).
fof(f407,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(f62287,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f62259,f390]) ).
fof(f390,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(f62259,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f21253,f464]) ).
fof(f464,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f21253,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK5,X0,X1,sK4,sK5),
inference(unit_resulting_resolution,[],[f3714,f491]) ).
fof(f491,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(f3714,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f3572,f454]) ).
fof(f454,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(f3572,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f570,f584,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,[],[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(f584,plain,
perp(sK8,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f570,f405]) ).
fof(f405,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(f570,plain,
perp(sK4,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f377,f404]) ).
fof(f404,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(f377,plain,
perp(sK4,sK5,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK5,sK10,sK5,sK9)
& coll(sK10,sK4,sK8)
& circle(sK7,sK4,sK10,sK12)
& coll(sK9,sK6,sK8)
& circle(sK7,sK6,sK9,sK11)
& perp(sK5,sK6,sK4,sK8)
& perp(sK4,sK6,sK5,sK8)
& perp(sK4,sK5,sK6,sK8)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ cong(sK5,sK10,sK5,sK9)
& coll(sK10,sK4,sK8)
& circle(sK7,sK4,sK10,sK12)
& coll(sK9,sK6,sK8)
& circle(sK7,sK6,sK9,sK11)
& perp(sK5,sK6,sK4,sK8)
& perp(sK4,sK6,sK5,sK8)
& perp(sK4,sK5,sK6,sK8)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) )
=> cong(X1,X6,X1,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X13,X18,X19,X20,X21] :
( ( coll(X19,X0,X13)
& circle(X7,X0,X19,X21)
& coll(X18,X2,X13)
& circle(X7,X2,X18,X20)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13)
& circle(X7,X0,X1,X2) )
=> cong(X1,X19,X1,X18) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X13,X18,X19,X20,X21] :
( ( coll(X19,X0,X13)
& circle(X7,X0,X19,X21)
& coll(X18,X2,X13)
& circle(X7,X2,X18,X20)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13)
& circle(X7,X0,X1,X2) )
=> cong(X1,X19,X1,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214037) ).
fof(f7782,plain,
! [X0,X1] : eqangle(sK4,sK7,X0,X1,sK4,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f3604,f454]) ).
fof(f3604,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f3311,f3340,f470]) ).
fof(f3340,plain,
perp(sK4,sK14(sK4,sK10,sK12,sK7),sK4,sK7),
inference(unit_resulting_resolution,[],[f3311,f405]) ).
fof(f3311,plain,
perp(sK4,sK7,sK4,sK14(sK4,sK10,sK12,sK7)),
inference(unit_resulting_resolution,[],[f3288,f404]) ).
fof(f3288,plain,
perp(sK4,sK7,sK14(sK4,sK10,sK12,sK7),sK4),
inference(unit_resulting_resolution,[],[f3277,f405]) ).
fof(f3277,plain,
perp(sK14(sK4,sK10,sK12,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f382,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK14(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK14(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK14(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(f382,plain,
circle(sK7,sK4,sK10,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f17134,plain,
cyclic(sK4,sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f12967,f14253,f441]) ).
fof(f14253,plain,
cyclic(sK4,sK4,sK10,sK5),
inference(unit_resulting_resolution,[],[f12035,f12778,f441]) ).
fof(f12778,plain,
cyclic(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f11625,f11913,f441]) ).
fof(f11913,plain,
cyclic(sK6,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f11645,f398]) ).
fof(f11645,plain,
cyclic(sK6,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f3725,f5200,f415]) ).
fof(f5200,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f3590,f454]) ).
fof(f3590,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f572,f582,f470]) ).
fof(f582,plain,
perp(sK8,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f572,f405]) ).
fof(f572,plain,
perp(sK5,sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f379,f404]) ).
fof(f379,plain,
perp(sK5,sK6,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f3725,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f3709,f3709,f407]) ).
fof(f3709,plain,
coll(sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f3572,f390]) ).
fof(f11625,plain,
cyclic(sK6,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f3732,f5217,f415]) ).
fof(f5217,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f3592,f454]) ).
fof(f3592,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f571,f583,f470]) ).
fof(f583,plain,
perp(sK8,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f571,f405]) ).
fof(f571,plain,
perp(sK4,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f378,f404]) ).
fof(f378,plain,
perp(sK4,sK6,sK5,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f3732,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f3725,f3725,f407]) ).
fof(f12035,plain,
cyclic(sK5,sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f11770,f397]) ).
fof(f11770,plain,
cyclic(sK5,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f11623,f398]) ).
fof(f11623,plain,
cyclic(sK5,sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f670,f3714,f415]) ).
fof(f670,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f503,f503,f407]) ).
fof(f503,plain,
coll(sK10,sK8,sK4),
inference(unit_resulting_resolution,[],[f383,f388]) ).
fof(f388,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(f383,plain,
coll(sK10,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f12967,plain,
cyclic(sK4,sK4,sK10,sK10),
inference(unit_resulting_resolution,[],[f12035,f12035,f441]) ).
fof(f469828,plain,
! [X0] : cong(X0,sK5,X0,sK5),
inference(unit_resulting_resolution,[],[f384416,f384416,f384416,f21253,f466]) ).
fof(f466,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(f384416,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f115769,f115769,f441]) ).
fof(f971572,plain,
~ perp(sK5,sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f383146,f971470,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,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(f971470,plain,
! [X0] : midp(X0,sK5,sK5),
inference(unit_resulting_resolution,[],[f66535,f469828,f392]) ).
fof(f392,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(f66535,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f63341,f63341,f407]) ).
fof(f383146,plain,
~ cong(sK5,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f114967,f402]) ).
fof(f402,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(f114967,plain,
~ cong(sK5,sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f106527,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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(f106527,plain,
~ cong(sK9,sK10,sK5,sK9),
inference(unit_resulting_resolution,[],[f98929,f402]) ).
fof(f98929,plain,
~ cong(sK9,sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f3904,f95869,f392]) ).
fof(f95869,plain,
~ midp(sK9,sK10,sK5),
inference(unit_resulting_resolution,[],[f550,f3975,f62288,f435]) ).
fof(f435,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(f62288,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f62259,f400]) ).
fof(f400,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(f3975,plain,
coll(sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f923,f3835,f407]) ).
fof(f3835,plain,
coll(sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f3760,f388]) ).
fof(f3760,plain,
coll(sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f1104,f3732,f407]) ).
fof(f1104,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f840,f840,f407]) ).
fof(f840,plain,
coll(sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f728,f388]) ).
fof(f728,plain,
coll(sK9,sK4,sK8),
inference(unit_resulting_resolution,[],[f676,f674,f407]) ).
fof(f674,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f511,f511,f407]) ).
fof(f511,plain,
coll(sK4,sK10,sK8),
inference(unit_resulting_resolution,[],[f383,f389]) ).
fof(f389,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(f676,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f381,f381,f407]) ).
fof(f381,plain,
coll(sK9,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f923,plain,
coll(sK9,sK4,sK10),
inference(unit_resulting_resolution,[],[f503,f760,f407]) ).
fof(f760,plain,
coll(sK10,sK8,sK9),
inference(unit_resulting_resolution,[],[f701,f388]) ).
fof(f701,plain,
coll(sK10,sK9,sK8),
inference(unit_resulting_resolution,[],[f676,f677,f407]) ).
fof(f677,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f383,f383,f407]) ).
fof(f550,plain,
~ midp(sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f384,f387]) ).
fof(f387,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(f384,plain,
~ cong(sK5,sK10,sK5,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f3904,plain,
coll(sK9,sK10,sK5),
inference(unit_resulting_resolution,[],[f3807,f3814,f407]) ).
fof(f3814,plain,
coll(sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f3755,f388]) ).
fof(f3755,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f670,f3732,f407]) ).
fof(f3807,plain,
coll(sK5,sK4,sK9),
inference(unit_resulting_resolution,[],[f3754,f388]) ).
fof(f3754,plain,
coll(sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f1104,f3732,f407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:42:10 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (2295)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (2298)WARNING: value z3 for option sas not known
% 0.15/0.38 % (2298)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)
% 0.15/0.38 % (2296)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (2297)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (2299)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (2301)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)
% 0.15/0.38 % (2302)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)
% 0.15/0.38 % (2300)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.48 TRYING [1]
% 0.22/0.51 TRYING [2]
% 4.12/0.99 TRYING [1]
% 4.12/0.99 TRYING [2]
% 4.12/1.02 TRYING [3]
% 5.26/1.16 TRYING [3]
% 40.48/6.16 % (2302)First to succeed.
% 40.48/6.17 % (2302)Refutation found. Thanks to Tanya!
% 40.48/6.17 % SZS status Theorem for theBenchmark
% 40.48/6.17 % SZS output start Proof for theBenchmark
% See solution above
% 40.48/6.18 % (2302)------------------------------
% 40.48/6.18 % (2302)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 40.48/6.18 % (2302)Termination reason: Refutation
% 40.48/6.18
% 40.48/6.18 % (2302)Memory used [KB]: 61899
% 40.48/6.18 % (2302)Time elapsed: 5.787 s
% 40.48/6.18 % (2302)Instructions burned: 20955 (million)
% 40.48/6.18 % (2302)------------------------------
% 40.48/6.18 % (2302)------------------------------
% 40.48/6.18 % (2295)Success in time 5.761 s
%------------------------------------------------------------------------------