TSTP Solution File: GEO594+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO594+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 : Sun May 5 05:29:21 EDT 2024
% Result : Theorem 6.29s 1.28s
% Output : Refutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 36
% Syntax : Number of formulae : 385 ( 123 unt; 0 def)
% Number of atoms : 829 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 644 ( 200 ~; 314 |; 76 &)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 687 ( 669 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106901,plain,
$false,
inference(subsumption_resolution,[],[f106891,f31520]) ).
fof(f31520,plain,
eqangle(sK8,sK6,sK8,sK5,sK5,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f23033,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f23033,plain,
cyclic(sK6,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f18146,f18148,f439]) ).
fof(f439,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(f18148,plain,
cyclic(sK7,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f15617,f15617,f439]) ).
fof(f15617,plain,
cyclic(sK4,sK7,sK6,sK5),
inference(unit_resulting_resolution,[],[f14414,f14541,f439]) ).
fof(f14541,plain,
cyclic(sK7,sK4,sK7,sK5),
inference(unit_resulting_resolution,[],[f13709,f13910,f439]) ).
fof(f13910,plain,
cyclic(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f13661,f13696,f439]) ).
fof(f13696,plain,
cyclic(sK8,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f13556,f394]) ).
fof(f394,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(f13556,plain,
cyclic(sK4,sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f718,f6454,f413]) ).
fof(f413,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(f6454,plain,
! [X0,X1] : eqangle(sK7,sK4,X0,X1,sK7,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f4701,f452]) ).
fof(f452,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(f4701,plain,
para(sK7,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f567,f560,f465]) ).
fof(f465,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(f560,plain,
para(sK9,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f555,f398]) ).
fof(f398,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(f555,plain,
para(sK9,sK6,sK4,sK7),
inference(unit_resulting_resolution,[],[f381,f399]) ).
fof(f399,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(f381,plain,
para(sK4,sK7,sK9,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK6,sK9,sK6,sK8)
& para(sK4,sK7,sK9,sK6)
& perp(sK4,sK7,sK4,sK9)
& coll(sK8,sK4,sK5)
& coll(sK8,sK6,sK7)
& circle(sK7,sK4,sK5,sK6)
& ( cong(sK6,sK4,sK6,sK5)
| cong(sK6,sK4,sK4,sK5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X5,X2,X4)
& para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) )
=> ( ~ cong(sK6,sK9,sK6,sK8)
& para(sK4,sK7,sK9,sK6)
& perp(sK4,sK7,sK4,sK9)
& coll(sK8,sK4,sK5)
& coll(sK8,sK6,sK7)
& circle(sK7,sK4,sK5,sK6)
& ( cong(sK6,sK4,sK6,sK5)
| cong(sK6,sK4,sK4,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X5,X2,X4)
& para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X5,X2,X4)
& para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) )
=> cong(X2,X5,X2,X4) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X6,X7,X3,X4] :
( ( para(X0,X7,X4,X6)
& perp(X0,X7,X0,X4)
& coll(X3,X0,X1)
& coll(X3,X6,X7)
& circle(X7,X0,X1,X6)
& ( cong(X6,X0,X6,X1)
| cong(X6,X0,X0,X1) ) )
=> cong(X6,X4,X6,X3) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X6,X7,X3,X4] :
( ( para(X0,X7,X4,X6)
& perp(X0,X7,X0,X4)
& coll(X3,X0,X1)
& coll(X3,X6,X7)
& circle(X7,X0,X1,X6)
& ( cong(X6,X0,X6,X1)
| cong(X6,X0,X0,X1) ) )
=> cong(X6,X4,X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416056) ).
fof(f567,plain,
para(sK7,sK4,sK9,sK6),
inference(unit_resulting_resolution,[],[f560,f399]) ).
fof(f718,plain,
coll(sK7,sK7,sK8),
inference(unit_resulting_resolution,[],[f378,f378,f405]) ).
fof(f405,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(f378,plain,
coll(sK8,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f13661,plain,
cyclic(sK8,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f13608,f396]) ).
fof(f396,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(f13608,plain,
cyclic(sK8,sK7,sK4,sK4),
inference(unit_resulting_resolution,[],[f13500,f394]) ).
fof(f13500,plain,
cyclic(sK7,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f717,f4785,f413]) ).
fof(f4785,plain,
! [X0,X1] : eqangle(sK4,sK7,X0,X1,sK4,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f4698,f452]) ).
fof(f4698,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f381,f555,f465]) ).
fof(f717,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f501,f501,f405]) ).
fof(f501,plain,
coll(sK8,sK5,sK4),
inference(unit_resulting_resolution,[],[f379,f386]) ).
fof(f386,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(f379,plain,
coll(sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f13709,plain,
cyclic(sK4,sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f13629,f394]) ).
fof(f13629,plain,
cyclic(sK7,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f13595,f395]) ).
fof(f395,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(f13595,plain,
cyclic(sK7,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f13497,f396]) ).
fof(f13497,plain,
cyclic(sK7,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f710,f4785,f413]) ).
fof(f710,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f509,f509,f405]) ).
fof(f509,plain,
coll(sK5,sK8,sK4),
inference(unit_resulting_resolution,[],[f501,f387]) ).
fof(f387,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(f14414,plain,
cyclic(sK7,sK4,sK7,sK6),
inference(unit_resulting_resolution,[],[f13844,f394]) ).
fof(f13844,plain,
cyclic(sK4,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f13672,f395]) ).
fof(f13672,plain,
cyclic(sK4,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f13554,f396]) ).
fof(f13554,plain,
cyclic(sK4,sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f712,f6454,f413]) ).
fof(f712,plain,
coll(sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f510,f510,f405]) ).
fof(f510,plain,
coll(sK6,sK8,sK7),
inference(unit_resulting_resolution,[],[f378,f387]) ).
fof(f18146,plain,
cyclic(sK7,sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f15549,f15617,f439]) ).
fof(f15549,plain,
cyclic(sK4,sK7,sK6,sK8),
inference(unit_resulting_resolution,[],[f14414,f14505,f439]) ).
fof(f14505,plain,
cyclic(sK7,sK4,sK7,sK8),
inference(unit_resulting_resolution,[],[f13901,f394]) ).
fof(f13901,plain,
cyclic(sK4,sK7,sK7,sK8),
inference(unit_resulting_resolution,[],[f13694,f395]) ).
fof(f13694,plain,
cyclic(sK4,sK7,sK8,sK7),
inference(unit_resulting_resolution,[],[f13556,f396]) ).
fof(f106891,plain,
~ eqangle(sK8,sK6,sK8,sK5,sK5,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f86681,f92255,f495]) ).
fof(f495,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f92255,plain,
perp(sK5,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f84210,f84210,f411]) ).
fof(f411,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(f84210,plain,
cong(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f83466,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,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(f83466,plain,
cong(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f3532,f83459,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f83459,plain,
midp(sK4,sK5,sK6),
inference(subsumption_resolution,[],[f83428,f16365]) ).
fof(f16365,plain,
! [X0] :
( midp(X0,sK5,sK6)
| ~ midp(X0,sK4,sK6)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f16220,f10512]) ).
fof(f10512,plain,
( para(sK4,sK5,sK6,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4659,f399]) ).
fof(f4659,plain,
( para(sK6,sK6,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4542,f398]) ).
fof(f4542,plain,
( para(sK6,sK6,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f4536]) ).
fof(f4536,plain,
( midp(sK4,sK5,sK6)
| para(sK6,sK6,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4526,f3388]) ).
fof(f3388,plain,
! [X0,X1] :
( ~ midp(X0,sK5,X1)
| para(X0,sK6,X1,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f431,f3319]) ).
fof(f3319,plain,
( midp(sK6,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3316,f383]) ).
fof(f383,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(f3316,plain,
( midp(sK6,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f3315,f1243]) ).
fof(f1243,plain,
coll(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f971,f1086,f405]) ).
fof(f1086,plain,
coll(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f928,f386]) ).
fof(f928,plain,
coll(sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f713,f711,f405]) ).
fof(f711,plain,
coll(sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f525,f525,f405]) ).
fof(f525,plain,
coll(sK5,sK4,sK8),
inference(unit_resulting_resolution,[],[f509,f386]) ).
fof(f713,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f521,f521,f405]) ).
fof(f521,plain,
coll(sK6,sK7,sK8),
inference(unit_resulting_resolution,[],[f510,f386]) ).
fof(f971,plain,
coll(sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f812,f386]) ).
fof(f812,plain,
coll(sK6,sK4,sK8),
inference(unit_resulting_resolution,[],[f709,f713,f405]) ).
fof(f709,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f517,f517,f405]) ).
fof(f517,plain,
coll(sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f508,f386]) ).
fof(f508,plain,
coll(sK4,sK8,sK5),
inference(unit_resulting_resolution,[],[f379,f387]) ).
fof(f3315,plain,
( midp(sK6,sK4,sK5)
| ~ coll(sK4,sK5,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3308,f390]) ).
fof(f390,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(f3308,plain,
( cong(sK4,sK5,sK4,sK6)
| midp(sK6,sK4,sK5) ),
inference(resolution,[],[f3293,f402]) ).
fof(f3293,plain,
( cong(sK4,sK5,sK6,sK4)
| midp(sK6,sK4,sK5) ),
inference(subsumption_resolution,[],[f3285,f1225]) ).
fof(f1225,plain,
coll(sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f509,f1079,f405]) ).
fof(f1079,plain,
coll(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f925,f386]) ).
fof(f925,plain,
coll(sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f713,f711,f405]) ).
fof(f3285,plain,
( ~ coll(sK6,sK4,sK5)
| midp(sK6,sK4,sK5)
| cong(sK4,sK5,sK6,sK4) ),
inference(resolution,[],[f390,f649]) ).
fof(f649,plain,
( cong(sK6,sK4,sK6,sK5)
| cong(sK4,sK5,sK6,sK4) ),
inference(resolution,[],[f642,f402]) ).
fof(f642,plain,
( cong(sK6,sK4,sK5,sK6)
| cong(sK4,sK5,sK6,sK4) ),
inference(resolution,[],[f638,f403]) ).
fof(f403,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(f638,plain,
( cong(sK5,sK6,sK6,sK4)
| cong(sK4,sK5,sK6,sK4) ),
inference(resolution,[],[f622,f403]) ).
fof(f622,plain,
( cong(sK6,sK4,sK4,sK5)
| cong(sK5,sK6,sK6,sK4) ),
inference(resolution,[],[f403,f616]) ).
fof(f616,plain,
( cong(sK6,sK4,sK5,sK6)
| cong(sK6,sK4,sK4,sK5) ),
inference(resolution,[],[f402,f376]) ).
fof(f376,plain,
( cong(sK6,sK4,sK6,sK5)
| cong(sK6,sK4,sK4,sK5) ),
inference(cnf_transformation,[],[f330]) ).
fof(f431,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(f4526,plain,
( midp(sK6,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f4525,f1226]) ).
fof(f1226,plain,
coll(sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f735,f1079,f405]) ).
fof(f735,plain,
coll(sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f716,f386]) ).
fof(f716,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f379,f379,f405]) ).
fof(f4525,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK6,sK5,sK5)
| midp(sK6,sK5,sK5) ),
inference(resolution,[],[f4487,f390]) ).
fof(f4487,plain,
( cong(sK6,sK5,sK6,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4417,f402]) ).
fof(f4417,plain,
( cong(sK6,sK5,sK5,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4378,f403]) ).
fof(f4378,plain,
( cong(sK5,sK6,sK6,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4344,f402]) ).
fof(f4344,plain,
( cong(sK5,sK6,sK5,sK6)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f4340]) ).
fof(f4340,plain,
( midp(sK4,sK5,sK6)
| cong(sK5,sK6,sK5,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4284,f3319]) ).
fof(f4284,plain,
! [X0] :
( ~ midp(X0,sK5,sK4)
| midp(sK4,sK5,sK6)
| cong(sK5,X0,sK5,X0) ),
inference(resolution,[],[f4277,f408]) ).
fof(f408,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(f4277,plain,
( perp(sK5,sK5,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4268,f400]) ).
fof(f400,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(f4268,plain,
( perp(sK5,sK5,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4263,f401]) ).
fof(f401,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(f4263,plain,
( perp(sK4,sK5,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f4262,f1225]) ).
fof(f4262,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK6,sK4,sK5)
| perp(sK4,sK5,sK5,sK5) ),
inference(resolution,[],[f4259,f406]) ).
fof(f406,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(f4259,plain,
( circle(sK6,sK4,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f4254]) ).
fof(f4254,plain,
( circle(sK6,sK4,sK5,sK5)
| midp(sK4,sK5,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3980,f3317]) ).
fof(f3317,plain,
( cong(sK6,sK4,sK6,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3316,f385]) ).
fof(f385,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(f3980,plain,
! [X0] :
( ~ cong(sK6,sK4,sK6,X0)
| circle(sK6,sK4,X0,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f409,f3317]) ).
fof(f409,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(f16220,plain,
! [X0] :
( midp(X0,sK5,sK6)
| ~ para(sK4,sK5,sK6,sK6)
| ~ midp(X0,sK4,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f434,f4512]) ).
fof(f4512,plain,
( para(sK4,sK6,sK6,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4477,f399]) ).
fof(f4477,plain,
( para(sK6,sK5,sK4,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4396,f398]) ).
fof(f4396,plain,
( para(sK6,sK5,sK6,sK4)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f4386]) ).
fof(f4386,plain,
( midp(sK4,sK5,sK6)
| para(sK6,sK5,sK6,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4383,f3600]) ).
fof(f3600,plain,
! [X0,X1] :
( ~ midp(sK5,X0,X1)
| para(X0,sK5,X1,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3596,f432]) ).
fof(f432,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(f3596,plain,
( midp(sK5,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3588,f383]) ).
fof(f3588,plain,
( midp(sK5,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f3587,f751]) ).
fof(f751,plain,
coll(sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f708,f386]) ).
fof(f708,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f508,f508,f405]) ).
fof(f3587,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK5,sK4,sK5)
| midp(sK5,sK4,sK5) ),
inference(resolution,[],[f3559,f390]) ).
fof(f3559,plain,
( cong(sK5,sK4,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3521,f3316]) ).
fof(f3521,plain,
( ~ midp(sK6,sK4,sK5)
| cong(sK5,sK4,sK5,sK5) ),
inference(resolution,[],[f3514,f404]) ).
fof(f3514,plain,
perp(sK5,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f3512,f401]) ).
fof(f3512,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f1180,f406]) ).
fof(f1180,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f510,f971,f405]) ).
fof(f377,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f4383,plain,
( midp(sK5,sK6,sK6)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f4382,f1240]) ).
fof(f1240,plain,
coll(sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f774,f1086,f405]) ).
fof(f774,plain,
coll(sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f719,f386]) ).
fof(f719,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f500,f500,f405]) ).
fof(f500,plain,
coll(sK8,sK7,sK6),
inference(unit_resulting_resolution,[],[f378,f386]) ).
fof(f4382,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK5,sK6,sK6)
| midp(sK5,sK6,sK6) ),
inference(resolution,[],[f4344,f390]) ).
fof(f434,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(f83428,plain,
( midp(sK4,sK4,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f57056,f11533]) ).
fof(f11533,plain,
( midp(sK6,sK4,sK4)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f11531,f1188]) ).
fof(f1188,plain,
coll(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f767,f978,f405]) ).
fof(f978,plain,
coll(sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f814,f386]) ).
fof(f814,plain,
coll(sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f709,f713,f405]) ).
fof(f767,plain,
coll(sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f717,f386]) ).
fof(f11531,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK6,sK4,sK4)
| midp(sK6,sK4,sK4) ),
inference(resolution,[],[f11445,f390]) ).
fof(f11445,plain,
( cong(sK6,sK4,sK6,sK4)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f11442,f10436]) ).
fof(f10436,plain,
( midp(sK5,sK4,sK4)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f10435,f850]) ).
fof(f850,plain,
coll(sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f508,f767,f405]) ).
fof(f10435,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK5,sK4,sK4)
| midp(sK5,sK4,sK4) ),
inference(resolution,[],[f4625,f390]) ).
fof(f4625,plain,
( cong(sK5,sK4,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4497,f402]) ).
fof(f4497,plain,
( cong(sK5,sK4,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4428,f403]) ).
fof(f4428,plain,
( cong(sK4,sK5,sK5,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4374,f402]) ).
fof(f4374,plain,
( cong(sK4,sK5,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f4354]) ).
fof(f4354,plain,
( midp(sK4,sK5,sK6)
| cong(sK4,sK5,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4352,f4267]) ).
fof(f4267,plain,
( ~ midp(sK5,sK5,sK5)
| cong(sK4,sK5,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4263,f404]) ).
fof(f4352,plain,
( midp(sK5,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(subsumption_resolution,[],[f4351,f781]) ).
fof(f781,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f735,f735,f405]) ).
fof(f4351,plain,
( midp(sK4,sK5,sK6)
| ~ coll(sK5,sK5,sK5)
| midp(sK5,sK5,sK5) ),
inference(resolution,[],[f4343,f390]) ).
fof(f4343,plain,
( cong(sK5,sK5,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f4341]) ).
fof(f4341,plain,
( midp(sK4,sK5,sK6)
| cong(sK5,sK5,sK5,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f4284,f3596]) ).
fof(f11442,plain,
( midp(sK4,sK5,sK6)
| cong(sK6,sK4,sK6,sK4)
| ~ midp(sK5,sK4,sK4) ),
inference(resolution,[],[f11420,f404]) ).
fof(f11420,plain,
( perp(sK6,sK5,sK4,sK4)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f11347,f401]) ).
fof(f11347,plain,
( perp(sK4,sK4,sK6,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f10958,f400]) ).
fof(f10958,plain,
( perp(sK4,sK4,sK5,sK6)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f5754,f10454]) ).
fof(f10454,plain,
( para(sK4,sK4,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(duplicate_literal_removal,[],[f10441]) ).
fof(f10441,plain,
( midp(sK4,sK5,sK6)
| para(sK4,sK4,sK4,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f10436,f3592]) ).
fof(f3592,plain,
! [X0,X1] :
( ~ midp(sK5,X0,X1)
| para(X0,sK4,X1,sK5)
| midp(sK4,sK5,sK6) ),
inference(resolution,[],[f3588,f432]) ).
fof(f5754,plain,
! [X0,X1] :
( ~ para(X0,X1,sK4,sK5)
| perp(X0,X1,sK5,sK6) ),
inference(resolution,[],[f466,f3512]) ).
fof(f466,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(f57056,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X0,X1,X2) ),
inference(subsumption_resolution,[],[f57013,f41681]) ).
fof(f41681,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f39700,f39700,f405]) ).
fof(f39700,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f39110,f39110,f405]) ).
fof(f39110,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f39095,f388]) ).
fof(f388,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(f39095,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f23710,f462]) ).
fof(f462,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(f23710,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK7,X0,X1,sK4,sK7),
inference(unit_resulting_resolution,[],[f4785,f489]) ).
fof(f489,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(f57013,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ midp(X2,X1,X0) ),
inference(resolution,[],[f39111,f433]) ).
fof(f433,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(f39111,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f39095,f398]) ).
fof(f3532,plain,
perp(sK5,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f3520,f401]) ).
fof(f3520,plain,
perp(sK5,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f3514,f400]) ).
fof(f86681,plain,
~ perp(sK8,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f39111,f83503,f466]) ).
fof(f83503,plain,
~ perp(sK6,sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f81883,f83460,f408]) ).
fof(f83460,plain,
midp(sK4,sK6,sK5),
inference(subsumption_resolution,[],[f83429,f16362]) ).
fof(f16362,plain,
! [X0] :
( midp(X0,sK6,sK5)
| ~ midp(X0,sK4,sK6)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f16217,f4518]) ).
fof(f4518,plain,
( para(sK4,sK6,sK6,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4485,f399]) ).
fof(f4485,plain,
( para(sK6,sK5,sK4,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4416,f398]) ).
fof(f4416,plain,
( para(sK6,sK5,sK6,sK4)
| midp(sK4,sK6,sK5) ),
inference(duplicate_literal_removal,[],[f4407]) ).
fof(f4407,plain,
( midp(sK4,sK6,sK5)
| para(sK6,sK5,sK6,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4403,f3578]) ).
fof(f3578,plain,
! [X0,X1] :
( ~ midp(sK5,X0,X1)
| para(X0,sK5,X1,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3574,f432]) ).
fof(f3574,plain,
( midp(sK5,sK5,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3566,f383]) ).
fof(f3566,plain,
( midp(sK5,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f3565,f751]) ).
fof(f3565,plain,
( midp(sK4,sK6,sK5)
| ~ coll(sK5,sK4,sK5)
| midp(sK5,sK4,sK5) ),
inference(resolution,[],[f3558,f390]) ).
fof(f3558,plain,
( cong(sK5,sK4,sK5,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3521,f3333]) ).
fof(f3333,plain,
( midp(sK6,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f3332,f1229]) ).
fof(f1229,plain,
coll(sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f509,f1079,f405]) ).
fof(f3332,plain,
( midp(sK6,sK4,sK5)
| ~ coll(sK4,sK6,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3313,f390]) ).
fof(f3313,plain,
( cong(sK4,sK6,sK4,sK5)
| midp(sK6,sK4,sK5) ),
inference(resolution,[],[f3308,f403]) ).
fof(f4403,plain,
( midp(sK5,sK6,sK6)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f4402,f1240]) ).
fof(f4402,plain,
( midp(sK4,sK6,sK5)
| ~ coll(sK5,sK6,sK6)
| midp(sK5,sK6,sK6) ),
inference(resolution,[],[f4345,f390]) ).
fof(f4345,plain,
( cong(sK5,sK6,sK5,sK6)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f4339,f383]) ).
fof(f4339,plain,
( midp(sK4,sK5,sK6)
| cong(sK5,sK6,sK5,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4284,f3336]) ).
fof(f3336,plain,
( midp(sK6,sK5,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3333,f383]) ).
fof(f16217,plain,
! [X0] :
( midp(X0,sK6,sK5)
| ~ para(sK4,sK6,sK6,sK5)
| ~ midp(X0,sK4,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f434,f10561]) ).
fof(f10561,plain,
( para(sK4,sK5,sK6,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4665,f399]) ).
fof(f4665,plain,
( para(sK6,sK6,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4546,f398]) ).
fof(f4546,plain,
( para(sK6,sK6,sK5,sK4)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f4535,f383]) ).
fof(f4535,plain,
( midp(sK4,sK5,sK6)
| para(sK6,sK6,sK5,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4526,f3387]) ).
fof(f3387,plain,
! [X0,X1] :
( ~ midp(X0,sK5,X1)
| para(X0,sK6,X1,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f431,f3336]) ).
fof(f83429,plain,
( midp(sK4,sK4,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f57056,f11502]) ).
fof(f11502,plain,
( midp(sK6,sK4,sK4)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f11500,f1188]) ).
fof(f11500,plain,
( midp(sK4,sK6,sK5)
| ~ coll(sK6,sK4,sK4)
| midp(sK6,sK4,sK4) ),
inference(resolution,[],[f11439,f390]) ).
fof(f11439,plain,
( cong(sK6,sK4,sK6,sK4)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f11436,f10463]) ).
fof(f10463,plain,
( midp(sK5,sK4,sK4)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f10462,f850]) ).
fof(f10462,plain,
( midp(sK4,sK6,sK5)
| ~ coll(sK5,sK4,sK4)
| midp(sK5,sK4,sK4) ),
inference(resolution,[],[f4627,f390]) ).
fof(f4627,plain,
( cong(sK5,sK4,sK5,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4499,f402]) ).
fof(f4499,plain,
( cong(sK5,sK4,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4461,f403]) ).
fof(f4461,plain,
( cong(sK4,sK5,sK5,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4375,f402]) ).
fof(f4375,plain,
( cong(sK4,sK5,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f4353,f383]) ).
fof(f4353,plain,
( midp(sK4,sK5,sK6)
| cong(sK4,sK5,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4352,f4271]) ).
fof(f4271,plain,
( ~ midp(sK5,sK5,sK5)
| cong(sK4,sK5,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f4266,f404]) ).
fof(f4266,plain,
( perp(sK4,sK5,sK5,sK5)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f4265,f1225]) ).
fof(f4265,plain,
( midp(sK4,sK6,sK5)
| ~ coll(sK6,sK4,sK5)
| perp(sK4,sK5,sK5,sK5) ),
inference(resolution,[],[f4260,f406]) ).
fof(f4260,plain,
( circle(sK6,sK4,sK5,sK5)
| midp(sK4,sK6,sK5) ),
inference(subsumption_resolution,[],[f4253,f383]) ).
fof(f4253,plain,
( circle(sK6,sK4,sK5,sK5)
| midp(sK4,sK5,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3980,f3334]) ).
fof(f3334,plain,
( cong(sK6,sK4,sK6,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3333,f385]) ).
fof(f11436,plain,
( midp(sK4,sK6,sK5)
| cong(sK6,sK4,sK6,sK4)
| ~ midp(sK5,sK4,sK4) ),
inference(resolution,[],[f11410,f404]) ).
fof(f11410,plain,
( perp(sK6,sK5,sK4,sK4)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f11342,f401]) ).
fof(f11342,plain,
( perp(sK4,sK4,sK6,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f10957,f400]) ).
fof(f10957,plain,
( perp(sK4,sK4,sK5,sK6)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f5754,f10481]) ).
fof(f10481,plain,
( para(sK4,sK4,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(duplicate_literal_removal,[],[f10469]) ).
fof(f10469,plain,
( midp(sK4,sK6,sK5)
| para(sK4,sK4,sK4,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f10463,f3570]) ).
fof(f3570,plain,
! [X0,X1] :
( ~ midp(sK5,X0,X1)
| para(X0,sK4,X1,sK5)
| midp(sK4,sK6,sK5) ),
inference(resolution,[],[f3566,f432]) ).
fof(f81883,plain,
~ cong(sK6,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f81845,f402]) ).
fof(f81845,plain,
~ cong(sK6,sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f81814,f403]) ).
fof(f81814,plain,
~ cong(sK4,sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f81381,f402]) ).
fof(f81381,plain,
~ cong(sK4,sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f978,f81359,f390]) ).
fof(f81359,plain,
~ midp(sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f81349,f383]) ).
fof(f81349,plain,
~ midp(sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f39111,f41681,f81343,f433]) ).
fof(f81343,plain,
~ midp(sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f5745,f73553,f408]) ).
fof(f73553,plain,
~ cong(sK6,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f64306,f402]) ).
fof(f64306,plain,
~ cong(sK6,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f60960,f403]) ).
fof(f60960,plain,
~ cong(sK8,sK9,sK6,sK8),
inference(unit_resulting_resolution,[],[f57061,f402]) ).
fof(f57061,plain,
~ cong(sK8,sK9,sK8,sK6),
inference(unit_resulting_resolution,[],[f4854,f56833,f390]) ).
fof(f56833,plain,
~ midp(sK8,sK9,sK6),
inference(unit_resulting_resolution,[],[f548,f4964,f39111,f433]) ).
fof(f4964,plain,
coll(sK6,sK9,sK8),
inference(unit_resulting_resolution,[],[f4890,f387]) ).
fof(f4890,plain,
coll(sK9,sK6,sK8),
inference(unit_resulting_resolution,[],[f4848,f386]) ).
fof(f4848,plain,
coll(sK9,sK8,sK6),
inference(unit_resulting_resolution,[],[f719,f4833,f405]) ).
fof(f4833,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f4816,f4816,f405]) ).
fof(f4816,plain,
coll(sK9,sK6,sK6),
inference(unit_resulting_resolution,[],[f4695,f388]) ).
fof(f4695,plain,
para(sK9,sK6,sK9,sK6),
inference(unit_resulting_resolution,[],[f560,f567,f465]) ).
fof(f548,plain,
~ midp(sK6,sK9,sK8),
inference(unit_resulting_resolution,[],[f382,f385]) ).
fof(f382,plain,
~ cong(sK6,sK9,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f4854,plain,
coll(sK8,sK9,sK6),
inference(unit_resulting_resolution,[],[f719,f4833,f405]) ).
fof(f5745,plain,
perp(sK6,sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f564,f603,f466]) ).
fof(f603,plain,
perp(sK7,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f596,f401]) ).
fof(f596,plain,
perp(sK9,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f588,f400]) ).
fof(f588,plain,
perp(sK9,sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f583,f401]) ).
fof(f583,plain,
perp(sK4,sK7,sK9,sK4),
inference(unit_resulting_resolution,[],[f380,f400]) ).
fof(f380,plain,
perp(sK4,sK7,sK4,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f564,plain,
para(sK6,sK9,sK7,sK4),
inference(unit_resulting_resolution,[],[f556,f398]) ).
fof(f556,plain,
para(sK6,sK9,sK4,sK7),
inference(unit_resulting_resolution,[],[f551,f399]) ).
fof(f551,plain,
para(sK4,sK7,sK6,sK9),
inference(unit_resulting_resolution,[],[f381,f398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO594+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:57:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.37 % (14896)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (14899)WARNING: value z3 for option sas not known
% 0.21/0.39 % (14897)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (14898)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (14900)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (14899)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)
% 0.21/0.39 % (14901)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)
% 0.21/0.39 % (14902)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)
% 0.21/0.39 % (14903)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)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.48 TRYING [1]
% 0.21/0.53 TRYING [2]
% 2.87/0.79 TRYING [1]
% 2.87/0.79 TRYING [2]
% 3.32/0.83 TRYING [3]
% 5.83/1.18 TRYING [3]
% 6.29/1.27 % (14903)First to succeed.
% 6.29/1.28 % (14903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14896"
% 6.29/1.28 % (14903)Refutation found. Thanks to Tanya!
% 6.29/1.28 % SZS status Theorem for theBenchmark
% 6.29/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 6.29/1.28 % (14903)------------------------------
% 6.29/1.28 % (14903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.29/1.28 % (14903)Termination reason: Refutation
% 6.29/1.28
% 6.29/1.28 % (14903)Memory used [KB]: 13301
% 6.29/1.28 % (14903)Time elapsed: 0.890 s
% 6.29/1.28 % (14903)Instructions burned: 3011 (million)
% 6.29/1.28 % (14896)Success in time 0.872 s
%------------------------------------------------------------------------------