TSTP Solution File: GEO652+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO652+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Fri May 3 02:18:13 EDT 2024
% Result : Theorem 137.93s 18.92s
% Output : CNFRefutation 137.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 19
% Syntax : Number of formulae : 158 ( 47 unt; 0 def)
% Number of atoms : 443 ( 0 equ)
% Maximal formula atoms : 30 ( 2 avg)
% Number of connectives : 423 ( 138 ~; 129 |; 126 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 23 ( 23 usr; 22 con; 0-4 aty)
% Number of variables : 659 ( 33 sgn 393 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
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(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(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(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(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
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(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(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(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(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(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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] :
( ( circle(X2,X1,X19,X31)
& coll(X1,X12,X19)
& circle(X2,X3,X18,X30)
& coll(X3,X13,X18)
& circle(X0,X1,X13,X29)
& coll(X1,X5,X13)
& circle(X0,X3,X12,X28)
& coll(X3,X4,X12)
& circle(X2,X1,X5,X27)
& circle(X2,X1,X4,X26)
& circle(X2,X1,X3,X25)
& circle(X0,X1,X3,X24)
& circle(X2,X1,X22,X23)
& circle(X0,X1,X20,X21) )
=> para(X4,X5,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] :
( ( circle(X2,X1,X19,X31)
& coll(X1,X12,X19)
& circle(X2,X3,X18,X30)
& coll(X3,X13,X18)
& circle(X0,X1,X13,X29)
& coll(X1,X5,X13)
& circle(X0,X3,X12,X28)
& coll(X3,X4,X12)
& circle(X2,X1,X5,X27)
& circle(X2,X1,X4,X26)
& circle(X2,X1,X3,X25)
& circle(X0,X1,X3,X24)
& circle(X2,X1,X22,X23)
& circle(X0,X1,X20,X21) )
=> para(X4,X5,X18,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f101,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(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f118,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(f119,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(f122,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(f123,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(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f143,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(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11) )
=> para(X4,X5,X8,X9) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,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(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f193,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,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f223,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,[],[f122]) ).
fof(f224,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,[],[f223]) ).
fof(f225,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,[],[f123]) ).
fof(f226,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,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f263,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,[],[f143]) ).
fof(f264,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,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ~ para(X4,X5,X8,X9)
& circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ~ para(X4,X5,X8,X9)
& circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ~ para(X4,X5,X8,X9)
& circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11) )
=> ( ~ para(sK24,sK25,sK28,sK29)
& circle(sK22,sK21,sK29,sK41)
& coll(sK21,sK26,sK29)
& circle(sK22,sK23,sK28,sK40)
& coll(sK23,sK27,sK28)
& circle(sK20,sK21,sK27,sK39)
& coll(sK21,sK25,sK27)
& circle(sK20,sK23,sK26,sK38)
& coll(sK23,sK24,sK26)
& circle(sK22,sK21,sK25,sK37)
& circle(sK22,sK21,sK24,sK36)
& circle(sK22,sK21,sK23,sK35)
& circle(sK20,sK21,sK23,sK34)
& circle(sK22,sK21,sK32,sK33)
& circle(sK20,sK21,sK30,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK24,sK25,sK28,sK29)
& circle(sK22,sK21,sK29,sK41)
& coll(sK21,sK26,sK29)
& circle(sK22,sK23,sK28,sK40)
& coll(sK23,sK27,sK28)
& circle(sK20,sK21,sK27,sK39)
& coll(sK21,sK25,sK27)
& circle(sK20,sK23,sK26,sK38)
& coll(sK23,sK24,sK26)
& circle(sK22,sK21,sK25,sK37)
& circle(sK22,sK21,sK24,sK36)
& circle(sK22,sK21,sK23,sK35)
& circle(sK20,sK21,sK23,sK34)
& circle(sK22,sK21,sK32,sK33)
& circle(sK20,sK21,sK30,sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f486,plain,
circle(sK22,sK21,sK29,sK41),
inference(cnf_transformation,[],[f359]) ).
fof(f487,plain,
~ para(sK24,sK25,sK28,sK29),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ para(sK24,sK25,sK28,sK29),
inference(cnf_transformation,[],[f487]) ).
cnf(c_163,negated_conjecture,
circle(sK22,sK21,sK29,sK41),
inference(cnf_transformation,[],[f486]) ).
cnf(c_179,plain,
( ~ para(sK21,sK21,sK21,sK21)
| coll(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_186,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_207,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| cyclic(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_240,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_16064,plain,
perp(sK11(sK21,sK29,sK41,sK22),sK21,sK21,sK22),
inference(resolution,[status(thm)],[c_163,c_148]) ).
cnf(c_16068,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK11(sK21,sK29,sK41,sK22),sK21,X0,X1) ),
inference(resolution,[status(thm)],[c_16064,c_57]) ).
cnf(c_16077,plain,
perp(sK21,sK22,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_56,c_16064]) ).
cnf(c_16083,plain,
para(sK11(sK21,sK29,sK41,sK22),sK21,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_16077,c_16068]) ).
cnf(c_16102,plain,
eqangle(sK11(sK21,sK29,sK41,sK22),sK21,X0,X1,sK11(sK21,sK29,sK41,sK22),sK21,X0,X1),
inference(resolution,[status(thm)],[c_16083,c_88]) ).
cnf(c_16142,plain,
eqangle(X0,X1,sK11(sK21,sK29,sK41,sK22),sK21,X0,X1,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_67,c_16102]) ).
cnf(c_16154,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[c_16142,c_87]) ).
cnf(c_16155,plain,
para(sK21,sK21,sK21,sK21),
inference(instantiation,[status(thm)],[c_16154]) ).
cnf(c_35921,plain,
perp(sK11(sK21,sK29,sK41,sK22),sK21,sK21,sK22),
inference(resolution,[status(thm)],[c_163,c_148]) ).
cnf(c_35935,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK11(sK21,sK29,sK41,sK22),sK21,X0,X1) ),
inference(resolution,[status(thm)],[c_35921,c_57]) ).
cnf(c_40715,plain,
perp(sK21,sK22,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_56,c_35921]) ).
cnf(c_40719,plain,
para(sK11(sK21,sK29,sK41,sK22),sK21,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_40715,c_35935]) ).
cnf(c_40724,plain,
eqangle(sK11(sK21,sK29,sK41,sK22),sK21,X0,X1,sK11(sK21,sK29,sK41,sK22),sK21,X0,X1),
inference(resolution,[status(thm)],[c_40719,c_88]) ).
cnf(c_47781,plain,
eqangle(X0,X1,sK11(sK21,sK29,sK41,sK22),sK21,X0,X1,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_67,c_40724]) ).
cnf(c_47785,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[c_47781,c_87]) ).
cnf(c_47795,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[c_47785,c_115]) ).
cnf(c_47812,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[c_47795,c_50]) ).
cnf(c_48469,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[c_47812,c_49]) ).
cnf(c_49705,plain,
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[c_48469,c_51]) ).
cnf(c_49784,plain,
coll(X1,X2,X0),
inference(global_subsumption_just,[status(thm)],[c_49705,c_48469,c_49705]) ).
cnf(c_49785,plain,
coll(X0,X1,X2),
inference(renaming,[status(thm)],[c_49784]) ).
cnf(c_80232,plain,
coll(X0,X2,X1),
inference(global_subsumption_just,[status(thm)],[c_49,c_49,c_49785]) ).
cnf(c_80233,plain,
coll(X0,X1,X2),
inference(renaming,[status(thm)],[c_80232]) ).
cnf(c_80256,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91,c_80233]) ).
cnf(c_80273,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_116,c_116,c_49785]) ).
cnf(c_80283,plain,
perp(sK11(sK21,sK29,sK41,sK22),sK21,sK21,sK22),
inference(resolution,[status(thm)],[c_163,c_148]) ).
cnf(c_80290,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK11(sK21,sK29,sK41,sK22),sK21,X0,X1) ),
inference(resolution,[status(thm)],[c_80283,c_57]) ).
cnf(c_80295,plain,
perp(sK21,sK22,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_56,c_80283]) ).
cnf(c_80299,plain,
para(sK11(sK21,sK29,sK41,sK22),sK21,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_80295,c_80290]) ).
cnf(c_80305,plain,
eqangle(sK11(sK21,sK29,sK41,sK22),sK21,X0,X1,sK11(sK21,sK29,sK41,sK22),sK21,X0,X1),
inference(resolution,[status(thm)],[c_80299,c_88]) ).
cnf(c_80331,plain,
eqangle(X0,X1,sK11(sK21,sK29,sK41,sK22),sK21,X0,X1,sK11(sK21,sK29,sK41,sK22),sK21),
inference(resolution,[status(thm)],[c_67,c_80305]) ).
cnf(c_80335,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[c_80331,c_87]) ).
cnf(c_80340,plain,
( ~ para(X0,X1,X0,X1)
| ~ midp(X2,X0,X0)
| midp(X2,X1,X1) ),
inference(resolution,[status(thm)],[c_80335,c_113]) ).
cnf(c_80341,plain,
eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[c_80335,c_88]) ).
cnf(c_80342,plain,
( ~ midp(X2,X0,X0)
| midp(X2,X1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_80340,c_16154,c_80340]) ).
cnf(c_80343,plain,
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(renaming,[status(thm)],[c_80342]) ).
cnf(c_80363,plain,
cyclic(sK21,X0,sK11(sK21,sK29,sK41,sK22),sK11(sK21,sK29,sK41,sK22)),
inference(resolution,[status(thm)],[c_80256,c_80305]) ).
cnf(c_80368,plain,
( ~ eqangle(sK11(sK21,sK29,sK41,sK22),sK21,sK11(sK21,sK29,sK41,sK22),X0,sK11(sK21,sK29,sK41,sK22),X1,sK11(sK21,sK29,sK41,sK22),X2)
| ~ cyclic(sK21,X0,sK11(sK21,sK29,sK41,sK22),X1)
| ~ cyclic(sK21,X0,sK11(sK21,sK29,sK41,sK22),X2)
| cong(sK21,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_80363,c_92]) ).
cnf(c_80381,plain,
( ~ cyclic(sK21,sK21,sK11(sK21,sK29,sK41,sK22),sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(resolution,[status(thm)],[c_80368,c_80331]) ).
cnf(c_80403,plain,
cong(sK21,sK21,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_80381,c_179,c_186,c_207,c_240,c_16155]) ).
cnf(c_80422,plain,
midp(sK21,sK21,sK21),
inference(resolution,[status(thm)],[c_80273,c_80403]) ).
cnf(c_81193,plain,
cyclic(X0,X1,X2,X2),
inference(resolution,[status(thm)],[c_80341,c_80256]) ).
cnf(c_81205,plain,
midp(sK21,X0,X0),
inference(resolution,[status(thm)],[c_80343,c_80422]) ).
cnf(c_81652,plain,
( ~ eqangle(X0,X1,X0,X2,X0,X3,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| cong(X1,X2,X3,X4) ),
inference(resolution,[status(thm)],[c_81193,c_92]) ).
cnf(c_81669,plain,
( ~ eqangle(X0,X1,X0,X2,X0,X0,X0,X3)
| ~ cyclic(X1,X2,X0,X3)
| cong(X1,X2,X0,X3) ),
inference(resolution,[status(thm)],[c_81652,c_81193]) ).
cnf(c_81673,plain,
( ~ eqangle(X0,X1,X0,X2,X0,X0,X0,X0)
| cong(X1,X2,X0,X0) ),
inference(resolution,[status(thm)],[c_81669,c_81193]) ).
cnf(c_81676,plain,
cong(X0,X0,X0,X0),
inference(resolution,[status(thm)],[c_81673,c_80341]) ).
cnf(c_81698,plain,
midp(X0,X0,X0),
inference(resolution,[status(thm)],[c_81676,c_80273]) ).
cnf(c_81704,plain,
( ~ midp(X0,X1,X2)
| para(X1,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_81698,c_93]) ).
cnf(c_81709,plain,
midp(X0,X1,X1),
inference(resolution,[status(thm)],[c_81698,c_80343]) ).
cnf(c_81744,plain,
para(X0,sK21,X0,X0),
inference(resolution,[status(thm)],[c_81704,c_81205]) ).
cnf(c_81817,plain,
( ~ para(X0,X0,X0,sK21)
| ~ midp(X1,X0,X0)
| midp(X1,sK21,X0) ),
inference(resolution,[status(thm)],[c_81744,c_113]) ).
cnf(c_81818,plain,
eqangle(X0,sK21,X1,X2,X0,X0,X1,X2),
inference(resolution,[status(thm)],[c_81744,c_88]) ).
cnf(c_81933,plain,
( ~ para(X0,X0,X0,sK21)
| midp(X1,sK21,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81817,c_81709]) ).
cnf(c_81937,plain,
eqangle(X0,X0,X1,X2,X0,sK21,X1,X2),
inference(resolution,[status(thm)],[c_81818,c_68]) ).
cnf(c_82195,plain,
para(X0,X0,X0,sK21),
inference(resolution,[status(thm)],[c_81937,c_87]) ).
cnf(c_82586,plain,
midp(X0,sK21,X1),
inference(resolution,[status(thm)],[c_82195,c_81933]) ).
cnf(c_82933,plain,
( ~ midp(X0,sK21,X1)
| para(X2,X0,X3,X1) ),
inference(resolution,[status(thm)],[c_82586,c_93]) ).
cnf(c_83166,plain,
para(X2,X0,X3,X1),
inference(global_subsumption_just,[status(thm)],[c_82933,c_82586,c_82933]) ).
cnf(c_83167,plain,
para(X0,X1,X2,X3),
inference(renaming,[status(thm)],[c_83166]) ).
cnf(c_83437,plain,
$false,
inference(resolution,[status(thm)],[c_83167,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.16 % Problem : GEO652+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.17 % Command : run_iprover %s %d THM
% 0.16/0.39 % Computer : n009.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Fri May 3 01:14:10 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.37/0.56 Running first-order theorem proving
% 0.37/0.56 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 137.93/18.92 % SZS status Started for theBenchmark.p
% 137.93/18.92 % SZS status Theorem for theBenchmark.p
% 137.93/18.92
% 137.93/18.92 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 137.93/18.92
% 137.93/18.92 ------ iProver source info
% 137.93/18.92
% 137.93/18.92 git: date: 2024-05-02 19:28:25 +0000
% 137.93/18.92 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 137.93/18.92 git: non_committed_changes: false
% 137.93/18.92
% 137.93/18.92 ------ Parsing...
% 137.93/18.92 ------ Clausification by vclausify_rel & Parsing by iProver...
% 137.93/18.92
% 137.93/18.92 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 1 0s sf_e pe_s pe_e
% 137.93/18.92
% 137.93/18.92 ------ Preprocessing...
% 137.93/18.92
% 137.93/18.92 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 137.93/18.92 ------ Proving...
% 137.93/18.92 ------ Problem Properties
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 clauses 127
% 137.93/18.92 conjectures 15
% 137.93/18.92 EPR 90
% 137.93/18.92 Horn 117
% 137.93/18.92 unary 15
% 137.93/18.92 binary 37
% 137.93/18.92 lits 343
% 137.93/18.92 lits eq 4
% 137.93/18.92 fd_pure 0
% 137.93/18.92 fd_pseudo 0
% 137.93/18.92 fd_cond 0
% 137.93/18.92 fd_pseudo_cond 4
% 137.93/18.92 AC symbols 0
% 137.93/18.92
% 137.93/18.92 ------ Input Options Time Limit: Unbounded
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------
% 137.93/18.92 Current options:
% 137.93/18.92 ------
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 ------ Proving...
% 137.93/18.92
% 137.93/18.92
% 137.93/18.92 % SZS status Theorem for theBenchmark.p
% 137.93/18.92
% 137.93/18.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 137.93/18.92
% 137.93/18.93
%------------------------------------------------------------------------------