TSTP Solution File: GEO565+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO565+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 : n007.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 05:25:47 EDT 2024
% Result : Theorem 241.18s 34.88s
% Output : Refutation 241.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 19
% Syntax : Number of formulae : 179 ( 112 unt; 0 def)
% Number of atoms : 487 ( 0 equ)
% Maximal formula atoms : 56 ( 2 avg)
% Number of connectives : 384 ( 76 ~; 61 |; 223 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 363 ( 303 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1402595,plain,
$false,
inference(subsumption_resolution,[],[f1402592,f34880]) ).
fof(f34880,plain,
cong(sK7,sK20,sK7,sK20),
inference(unit_resulting_resolution,[],[f1304,f1200,f488]) ).
fof(f488,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f1200,plain,
cong(sK6,sK20,sK7,sK20),
inference(unit_resulting_resolution,[],[f1099,f421]) ).
fof(f421,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(f1099,plain,
cong(sK6,sK20,sK20,sK7),
inference(unit_resulting_resolution,[],[f978,f422]) ).
fof(f422,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(f978,plain,
cong(sK20,sK7,sK6,sK20),
inference(unit_resulting_resolution,[],[f926,f421]) ).
fof(f926,plain,
cong(sK20,sK7,sK20,sK6),
inference(unit_resulting_resolution,[],[f395,f406]) ).
fof(f406,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(f395,plain,
midp(sK20,sK7,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK7,sK10,sK7,sK11)
& perp(sK7,sK4,sK23,sK11)
& midp(sK23,sK7,sK4)
& perp(sK6,sK4,sK22,sK11)
& midp(sK22,sK6,sK4)
& perp(sK6,sK7,sK21,sK11)
& midp(sK21,sK6,sK7)
& perp(sK7,sK6,sK20,sK10)
& midp(sK20,sK7,sK6)
& perp(sK5,sK6,sK19,sK10)
& midp(sK19,sK5,sK6)
& perp(sK5,sK7,sK18,sK10)
& midp(sK18,sK5,sK7)
& perp(sK7,sK5,sK17,sK9)
& midp(sK17,sK7,sK5)
& perp(sK4,sK5,sK16,sK9)
& midp(sK16,sK4,sK5)
& perp(sK4,sK7,sK15,sK9)
& midp(sK15,sK4,sK7)
& perp(sK5,sK6,sK14,sK8)
& midp(sK14,sK5,sK6)
& perp(sK4,sK6,sK13,sK8)
& midp(sK13,sK4,sK6)
& perp(sK4,sK5,sK12,sK8)
& midp(sK12,sK4,sK5)
& perp(sK5,sK6,sK4,sK7)
& perp(sK4,sK6,sK5,sK7)
& perp(sK4,sK5,sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ cong(X3,X6,X3,X7)
& perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> ( ~ cong(sK7,sK10,sK7,sK11)
& perp(sK7,sK4,sK23,sK11)
& midp(sK23,sK7,sK4)
& perp(sK6,sK4,sK22,sK11)
& midp(sK22,sK6,sK4)
& perp(sK6,sK7,sK21,sK11)
& midp(sK21,sK6,sK7)
& perp(sK7,sK6,sK20,sK10)
& midp(sK20,sK7,sK6)
& perp(sK5,sK6,sK19,sK10)
& midp(sK19,sK5,sK6)
& perp(sK5,sK7,sK18,sK10)
& midp(sK18,sK5,sK7)
& perp(sK7,sK5,sK17,sK9)
& midp(sK17,sK7,sK5)
& perp(sK4,sK5,sK16,sK9)
& midp(sK16,sK4,sK5)
& perp(sK4,sK7,sK15,sK9)
& midp(sK15,sK4,sK7)
& perp(sK5,sK6,sK14,sK8)
& midp(sK14,sK5,sK6)
& perp(sK4,sK6,sK13,sK8)
& midp(sK13,sK4,sK6)
& perp(sK4,sK5,sK12,sK8)
& midp(sK12,sK4,sK5)
& perp(sK5,sK6,sK4,sK7)
& perp(sK4,sK6,sK5,sK7)
& perp(sK4,sK5,sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ cong(X3,X6,X3,X7)
& perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ cong(X3,X6,X3,X7)
& perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> cong(X3,X6,X3,X7) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X13,X7,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( perp(X13,X0,X32,X20)
& midp(X32,X13,X0)
& perp(X2,X0,X31,X20)
& midp(X31,X2,X0)
& perp(X2,X13,X30,X20)
& midp(X30,X2,X13)
& perp(X13,X2,X29,X19)
& midp(X29,X13,X2)
& perp(X1,X2,X28,X19)
& midp(X28,X1,X2)
& perp(X1,X13,X27,X19)
& midp(X27,X1,X13)
& perp(X13,X1,X26,X18)
& midp(X26,X13,X1)
& perp(X0,X1,X25,X18)
& midp(X25,X0,X1)
& perp(X0,X13,X24,X18)
& midp(X24,X0,X13)
& perp(X1,X2,X23,X7)
& midp(X23,X1,X2)
& perp(X0,X2,X22,X7)
& midp(X22,X0,X2)
& perp(X0,X1,X21,X7)
& midp(X21,X0,X1)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13) )
=> cong(X13,X19,X13,X20) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X13,X7,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( perp(X13,X0,X32,X20)
& midp(X32,X13,X0)
& perp(X2,X0,X31,X20)
& midp(X31,X2,X0)
& perp(X2,X13,X30,X20)
& midp(X30,X2,X13)
& perp(X13,X2,X29,X19)
& midp(X29,X13,X2)
& perp(X1,X2,X28,X19)
& midp(X28,X1,X2)
& perp(X1,X13,X27,X19)
& midp(X27,X1,X13)
& perp(X13,X1,X26,X18)
& midp(X26,X13,X1)
& perp(X0,X1,X25,X18)
& midp(X25,X0,X1)
& perp(X0,X13,X24,X18)
& midp(X24,X0,X13)
& perp(X1,X2,X23,X7)
& midp(X23,X1,X2)
& perp(X0,X2,X22,X7)
& midp(X22,X0,X2)
& perp(X0,X1,X21,X7)
& midp(X21,X0,X1)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13) )
=> cong(X13,X19,X13,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214027) ).
fof(f1304,plain,
cong(sK7,sK20,sK6,sK20),
inference(unit_resulting_resolution,[],[f1087,f421]) ).
fof(f1087,plain,
cong(sK7,sK20,sK20,sK6),
inference(unit_resulting_resolution,[],[f972,f422]) ).
fof(f972,plain,
cong(sK20,sK6,sK7,sK20),
inference(unit_resulting_resolution,[],[f920,f421]) ).
fof(f920,plain,
cong(sK20,sK6,sK20,sK7),
inference(unit_resulting_resolution,[],[f531,f406]) ).
fof(f531,plain,
midp(sK20,sK6,sK7),
inference(unit_resulting_resolution,[],[f395,f404]) ).
fof(f404,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(f1402592,plain,
~ cong(sK7,sK20,sK7,sK20),
inference(unit_resulting_resolution,[],[f5117,f1402539,f411]) ).
fof(f411,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(f1402539,plain,
~ midp(sK7,sK20,sK20),
inference(unit_resulting_resolution,[],[f96976,f6012,f1402529,f454]) ).
fof(f454,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(f1402529,plain,
~ midp(sK4,sK20,sK22),
inference(unit_resulting_resolution,[],[f1402521,f404]) ).
fof(f1402521,plain,
~ midp(sK4,sK22,sK20),
inference(unit_resulting_resolution,[],[f36903,f1171193,f1402520,f454]) ).
fof(f1402520,plain,
~ midp(sK5,sK22,sK10),
inference(unit_resulting_resolution,[],[f1401655,f404]) ).
fof(f1401655,plain,
~ midp(sK5,sK10,sK22),
inference(unit_resulting_resolution,[],[f929,f1369869,f36933,f454]) ).
fof(f36933,plain,
para(sK5,sK7,sK22,sK11),
inference(unit_resulting_resolution,[],[f1421,f1649,f489]) ).
fof(f489,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(f1649,plain,
perp(sK4,sK6,sK22,sK11),
inference(unit_resulting_resolution,[],[f1530,f424]) ).
fof(f424,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(f1530,plain,
perp(sK22,sK11,sK4,sK6),
inference(unit_resulting_resolution,[],[f1433,f423]) ).
fof(f423,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(f1433,plain,
perp(sK22,sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f400,f424]) ).
fof(f400,plain,
perp(sK6,sK4,sK22,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f1421,plain,
perp(sK5,sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f377,f424]) ).
fof(f377,plain,
perp(sK4,sK6,sK5,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f1369869,plain,
coll(sK7,sK10,sK11),
inference(unit_resulting_resolution,[],[f1227701,f1335788,f426]) ).
fof(f426,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(f1335788,plain,
coll(sK11,sK21,sK10),
inference(unit_resulting_resolution,[],[f1227407,f407]) ).
fof(f407,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(f1227407,plain,
coll(sK11,sK10,sK21),
inference(unit_resulting_resolution,[],[f1071007,f1227381,f426]) ).
fof(f1227381,plain,
coll(sK21,sK21,sK11),
inference(unit_resulting_resolution,[],[f1227364,f1227364,f426]) ).
fof(f1227364,plain,
coll(sK11,sK11,sK21),
inference(unit_resulting_resolution,[],[f1227330,f1227330,f426]) ).
fof(f1227330,plain,
coll(sK21,sK11,sK11),
inference(unit_resulting_resolution,[],[f36932,f409]) ).
fof(f409,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(f36932,plain,
para(sK21,sK11,sK21,sK11),
inference(unit_resulting_resolution,[],[f1526,f1645,f489]) ).
fof(f1645,plain,
perp(sK7,sK6,sK21,sK11),
inference(unit_resulting_resolution,[],[f1526,f424]) ).
fof(f1526,plain,
perp(sK21,sK11,sK7,sK6),
inference(unit_resulting_resolution,[],[f1432,f423]) ).
fof(f1432,plain,
perp(sK21,sK11,sK6,sK7),
inference(unit_resulting_resolution,[],[f398,f424]) ).
fof(f398,plain,
perp(sK6,sK7,sK21,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f1071007,plain,
coll(sK21,sK21,sK10),
inference(unit_resulting_resolution,[],[f1067436,f1067436,f426]) ).
fof(f1067436,plain,
coll(sK10,sK18,sK21),
inference(unit_resulting_resolution,[],[f1063800,f407]) ).
fof(f1063800,plain,
coll(sK10,sK21,sK18),
inference(unit_resulting_resolution,[],[f4328,f1063764,f426]) ).
fof(f1063764,plain,
coll(sK18,sK18,sK10),
inference(unit_resulting_resolution,[],[f1063747,f1063747,f426]) ).
fof(f1063747,plain,
coll(sK10,sK10,sK18),
inference(unit_resulting_resolution,[],[f1063714,f1063714,f426]) ).
fof(f1063714,plain,
coll(sK18,sK10,sK10),
inference(unit_resulting_resolution,[],[f36896,f409]) ).
fof(f36896,plain,
para(sK18,sK10,sK18,sK10),
inference(unit_resulting_resolution,[],[f1514,f1633,f489]) ).
fof(f1633,plain,
perp(sK7,sK5,sK18,sK10),
inference(unit_resulting_resolution,[],[f1514,f424]) ).
fof(f1514,plain,
perp(sK18,sK10,sK7,sK5),
inference(unit_resulting_resolution,[],[f1429,f423]) ).
fof(f1429,plain,
perp(sK18,sK10,sK5,sK7),
inference(unit_resulting_resolution,[],[f392,f424]) ).
fof(f392,plain,
perp(sK5,sK7,sK18,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f4328,plain,
coll(sK18,sK18,sK21),
inference(unit_resulting_resolution,[],[f2538,f2538,f426]) ).
fof(f2538,plain,
coll(sK21,sK7,sK18),
inference(unit_resulting_resolution,[],[f2069,f407]) ).
fof(f2069,plain,
coll(sK21,sK18,sK7),
inference(unit_resulting_resolution,[],[f1875,f1893,f426]) ).
fof(f1893,plain,
coll(sK7,sK7,sK21),
inference(unit_resulting_resolution,[],[f585,f585,f426]) ).
fof(f585,plain,
coll(sK21,sK6,sK7),
inference(unit_resulting_resolution,[],[f397,f405]) ).
fof(f405,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(f397,plain,
midp(sK21,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f1875,plain,
coll(sK7,sK7,sK18),
inference(unit_resulting_resolution,[],[f579,f579,f426]) ).
fof(f579,plain,
coll(sK18,sK5,sK7),
inference(unit_resulting_resolution,[],[f391,f405]) ).
fof(f391,plain,
midp(sK18,sK5,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f1227701,plain,
coll(sK11,sK21,sK7),
inference(unit_resulting_resolution,[],[f1227404,f407]) ).
fof(f1227404,plain,
coll(sK11,sK7,sK21),
inference(unit_resulting_resolution,[],[f1888,f1227381,f426]) ).
fof(f1888,plain,
coll(sK21,sK21,sK7),
inference(unit_resulting_resolution,[],[f806,f806,f426]) ).
fof(f806,plain,
coll(sK7,sK6,sK21),
inference(unit_resulting_resolution,[],[f687,f407]) ).
fof(f687,plain,
coll(sK7,sK21,sK6),
inference(unit_resulting_resolution,[],[f591,f408]) ).
fof(f408,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(f591,plain,
coll(sK21,sK7,sK6),
inference(unit_resulting_resolution,[],[f528,f405]) ).
fof(f528,plain,
midp(sK21,sK7,sK6),
inference(unit_resulting_resolution,[],[f397,f404]) ).
fof(f929,plain,
~ midp(sK7,sK10,sK11),
inference(unit_resulting_resolution,[],[f403,f406]) ).
fof(f403,plain,
~ cong(sK7,sK10,sK7,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f1171193,plain,
coll(sK5,sK22,sK10),
inference(unit_resulting_resolution,[],[f1063908,f1072605,f426]) ).
fof(f1072605,plain,
coll(sK10,sK18,sK22),
inference(unit_resulting_resolution,[],[f1063801,f407]) ).
fof(f1063801,plain,
coll(sK10,sK22,sK18),
inference(unit_resulting_resolution,[],[f69227,f1063764,f426]) ).
fof(f69227,plain,
coll(sK18,sK18,sK22),
inference(unit_resulting_resolution,[],[f58576,f58576,f426]) ).
fof(f58576,plain,
coll(sK22,sK23,sK18),
inference(unit_resulting_resolution,[],[f13401,f407]) ).
fof(f13401,plain,
coll(sK22,sK18,sK23),
inference(unit_resulting_resolution,[],[f4647,f6119,f426]) ).
fof(f6119,plain,
coll(sK23,sK23,sK18),
inference(unit_resulting_resolution,[],[f2999,f2999,f426]) ).
fof(f2999,plain,
coll(sK18,sK7,sK23),
inference(unit_resulting_resolution,[],[f2139,f407]) ).
fof(f2139,plain,
coll(sK18,sK23,sK7),
inference(unit_resulting_resolution,[],[f1875,f1858,f426]) ).
fof(f1858,plain,
coll(sK7,sK7,sK23),
inference(unit_resulting_resolution,[],[f574,f574,f426]) ).
fof(f574,plain,
coll(sK23,sK4,sK7),
inference(unit_resulting_resolution,[],[f532,f405]) ).
fof(f532,plain,
midp(sK23,sK4,sK7),
inference(unit_resulting_resolution,[],[f401,f404]) ).
fof(f401,plain,
midp(sK23,sK7,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f4647,plain,
coll(sK23,sK23,sK22),
inference(unit_resulting_resolution,[],[f2672,f2672,f426]) ).
fof(f2672,plain,
coll(sK22,sK4,sK23),
inference(unit_resulting_resolution,[],[f2112,f407]) ).
fof(f2112,plain,
coll(sK22,sK23,sK4),
inference(unit_resulting_resolution,[],[f1894,f1912,f426]) ).
fof(f1912,plain,
coll(sK4,sK4,sK23),
inference(unit_resulting_resolution,[],[f592,f592,f426]) ).
fof(f592,plain,
coll(sK23,sK7,sK4),
inference(unit_resulting_resolution,[],[f401,f405]) ).
fof(f1894,plain,
coll(sK4,sK4,sK22),
inference(unit_resulting_resolution,[],[f586,f586,f426]) ).
fof(f586,plain,
coll(sK22,sK6,sK4),
inference(unit_resulting_resolution,[],[f399,f405]) ).
fof(f399,plain,
midp(sK22,sK6,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f1063908,plain,
coll(sK10,sK18,sK5),
inference(unit_resulting_resolution,[],[f1063785,f407]) ).
fof(f1063785,plain,
coll(sK10,sK5,sK18),
inference(unit_resulting_resolution,[],[f1899,f1063764,f426]) ).
fof(f1899,plain,
coll(sK18,sK18,sK5),
inference(unit_resulting_resolution,[],[f734,f734,f426]) ).
fof(f734,plain,
coll(sK5,sK7,sK18),
inference(unit_resulting_resolution,[],[f675,f407]) ).
fof(f675,plain,
coll(sK5,sK18,sK7),
inference(unit_resulting_resolution,[],[f579,f408]) ).
fof(f36903,plain,
para(sK4,sK5,sK20,sK10),
inference(unit_resulting_resolution,[],[f376,f1641,f489]) ).
fof(f1641,plain,
perp(sK6,sK7,sK20,sK10),
inference(unit_resulting_resolution,[],[f1522,f424]) ).
fof(f1522,plain,
perp(sK20,sK10,sK6,sK7),
inference(unit_resulting_resolution,[],[f1431,f423]) ).
fof(f1431,plain,
perp(sK20,sK10,sK7,sK6),
inference(unit_resulting_resolution,[],[f396,f424]) ).
fof(f396,plain,
perp(sK7,sK6,sK20,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f376,plain,
perp(sK4,sK5,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f6012,plain,
coll(sK4,sK20,sK22),
inference(unit_resulting_resolution,[],[f586,f2948,f426]) ).
fof(f2948,plain,
coll(sK22,sK6,sK20),
inference(unit_resulting_resolution,[],[f2122,f407]) ).
fof(f2122,plain,
coll(sK22,sK20,sK6),
inference(unit_resulting_resolution,[],[f1910,f1857,f426]) ).
fof(f1857,plain,
coll(sK6,sK6,sK22),
inference(unit_resulting_resolution,[],[f573,f573,f426]) ).
fof(f573,plain,
coll(sK22,sK4,sK6),
inference(unit_resulting_resolution,[],[f529,f405]) ).
fof(f529,plain,
midp(sK22,sK4,sK6),
inference(unit_resulting_resolution,[],[f399,f404]) ).
fof(f1910,plain,
coll(sK6,sK6,sK20),
inference(unit_resulting_resolution,[],[f590,f590,f426]) ).
fof(f590,plain,
coll(sK20,sK7,sK6),
inference(unit_resulting_resolution,[],[f395,f405]) ).
fof(f96976,plain,
para(sK7,sK4,sK20,sK22),
inference(unit_resulting_resolution,[],[f6462,f420]) ).
fof(f420,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(f6462,plain,
para(sK20,sK22,sK7,sK4),
inference(unit_resulting_resolution,[],[f531,f399,f453]) ).
fof(f453,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f5117,plain,
coll(sK7,sK20,sK20),
inference(unit_resulting_resolution,[],[f2772,f408]) ).
fof(f2772,plain,
coll(sK20,sK7,sK20),
inference(unit_resulting_resolution,[],[f1885,f407]) ).
fof(f1885,plain,
coll(sK20,sK20,sK7),
inference(unit_resulting_resolution,[],[f754,f754,f426]) ).
fof(f754,plain,
coll(sK7,sK6,sK20),
inference(unit_resulting_resolution,[],[f686,f407]) ).
fof(f686,plain,
coll(sK7,sK20,sK6),
inference(unit_resulting_resolution,[],[f590,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO565+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
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 22:03:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (26575)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26578)WARNING: value z3 for option sas not known
% 0.14/0.37 % (26582)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)
% 0.14/0.37 % (26577)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (26579)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (26581)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)
% 0.14/0.37 % (26578)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)
% 0.14/0.37 % (26580)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)
% 0.14/0.37 % (26576)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.19/0.44 TRYING [3]
% 0.19/0.46 TRYING [1]
% 0.19/0.50 TRYING [2]
% 7.80/1.48 TRYING [3]
% 7.80/1.48 TRYING [1]
% 7.80/1.49 TRYING [2]
% 8.40/1.55 TRYING [3]
% 92.64/13.64 TRYING [4]
% 125.95/18.41 TRYING [4]
% 231.98/33.59 TRYING [4]
% 240.69/34.79 % (26582)First to succeed.
% 240.69/34.81 % (26582)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26575"
% 241.18/34.88 % (26582)Refutation found. Thanks to Tanya!
% 241.18/34.88 % SZS status Theorem for theBenchmark
% 241.18/34.88 % SZS output start Proof for theBenchmark
% See solution above
% 241.18/34.88 % (26582)------------------------------
% 241.18/34.88 % (26582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 241.18/34.88 % (26582)Termination reason: Refutation
% 241.18/34.88
% 241.18/34.88 % (26582)Memory used [KB]: 705513
% 241.18/34.88 % (26582)Time elapsed: 34.440 s
% 241.18/34.88 % (26582)Instructions burned: 86773 (million)
% 241.18/34.88 % (26575)Success in time 34.389 s
%------------------------------------------------------------------------------