%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:15:36 AM UTC 2026
% Result : Theorem 91.91s 31.46s
% Output : CNFRefutation 91.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 40
% Syntax : Number of formulae : 327 ( 143 unt; 0 def)
% Number of atoms : 632 ( 0 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 521 ( 216 ~; 214 |; 50 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-5 aty)
% Number of variables : 634 ( 42 sgn 211 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ) ).
fof(ruleD2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ) ).
fof(ruleD3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ) ).
fof(ruleD4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ) ).
fof(ruleD7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ) ).
fof(ruleD8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ) ).
fof(ruleD9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ) ).
fof(ruleD10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ) ).
fof(ruleD11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ) ).
fof(ruleD12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ) ).
fof(ruleD14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ) ).
fof(ruleD15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ) ).
fof(ruleD16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ) ).
fof(ruleD19,axiom,
! [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) ) ).
fof(ruleD23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ) ).
fof(ruleD24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ) ).
fof(ruleD25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ) ).
fof(ruleD39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ) ).
fof(ruleD40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ) ).
fof(ruleD41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ) ).
fof(ruleD42b,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ) ).
fof(ruleD44,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ) ).
fof(ruleD45,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ) ).
fof(ruleD46,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ) ).
fof(ruleD51,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ) ).
fof(ruleD52,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ) ).
fof(ruleD55,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ) ).
fof(ruleD57,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ) ).
fof(ruleD63,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ) ).
fof(ruleD64,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ) ).
fof(ruleD65,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ) ).
fof(ruleD66,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ) ).
fof(ruleD67,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ) ).
fof(ruleD68,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ) ).
fof(ruleD69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ) ).
fof(ruleD70,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ) ).
fof(ruleD74,axiom,
! [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) ) ).
fof(ruleD75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ) ).
fof(ruleX15,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ) ).
fof(exemplo6GDDFULLmoreE02210,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( perp(X5,X6,X5,X7)
& perp(X5,X1,X15,X6)
& midp(X15,X5,X1)
& perp(X4,X1,X14,X6)
& midp(X14,X4,X1)
& perp(X4,X5,X13,X6)
& midp(X13,X4,X5)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X0,X1,X4,X12)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X8,X9) )
=> para(X7,X5,X2,X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( perp(X5,X6,X5,X7)
& perp(X5,X1,X15,X6)
& midp(X15,X5,X1)
& perp(X4,X1,X14,X6)
& midp(X14,X4,X1)
& perp(X4,X5,X13,X6)
& midp(X13,X4,X5)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X0,X1,X4,X12)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X8,X9) )
=> para(X7,X5,X2,X3) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULLmoreE02210]) ).
cnf(c0,plain,
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD1]) ).
cnf(c1,plain,
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD2]) ).
cnf(c2,plain,
( coll(X3,X2,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD3]) ).
cnf(c3,plain,
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD4]) ).
cnf(c6,plain,
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD7]) ).
cnf(c7,plain,
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD8]) ).
cnf(c8,plain,
( para(X4,X5,X2,X3)
| ~ perp(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD9]) ).
cnf(c9,plain,
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD10]) ).
cnf(c10,plain,
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD11]) ).
cnf(c11,plain,
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(clausification,[status(esa)],[ruleD12]) ).
cnf(c13,plain,
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD14]) ).
cnf(c14,plain,
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD15]) ).
cnf(c15,plain,
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD16]) ).
cnf(c18,plain,
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(clausification,[status(esa)],[ruleD19]) ).
cnf(c22,plain,
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD23]) ).
cnf(c23,plain,
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD24]) ).
cnf(c24,plain,
( cong(X4,X5,X2,X3)
| ~ cong(X4,X5,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD25]) ).
cnf(c38,plain,
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(clausification,[status(esa)],[ruleD39]) ).
cnf(c39,plain,
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD40]) ).
cnf(c40,plain,
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD41]) ).
cnf(c42,plain,
( cyclic(X3,X2,X0,X1)
| ~ eqangle(X0,X3,X0,X2,X1,X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD42b]) ).
cnf(c44,plain,
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD44]) ).
cnf(c45,plain,
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD45]) ).
cnf(c46,plain,
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(clausification,[status(esa)],[ruleD46]) ).
cnf(c51,plain,
( midp(X0,X1,X2)
| ~ circle(X4,X3,X1,X2)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X0)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD51]) ).
cnf(c52,plain,
( cong(X1,X0,X3,X0)
| ~ perp(X1,X3,X3,X2)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD52]) ).
cnf(c55,plain,
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD55]) ).
cnf(c57,plain,
( perp(X3,X0,X0,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X3,X1)
| ~ cong(X0,X1,X2,X1) ),
inference(clausification,[status(esa)],[ruleD57]) ).
cnf(c63,plain,
( para(X3,X1,X4,X2)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD63]) ).
cnf(c64,plain,
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD64]) ).
cnf(c65,plain,
( eqratio(X0,X1,X1,X2,X0,X3,X3,X4)
| ~ para(X1,X3,X2,X4)
| ~ coll(X0,X3,X4)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD65]) ).
cnf(c66,plain,
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(clausification,[status(esa)],[ruleD66]) ).
cnf(c67,plain,
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD67]) ).
cnf(c68,plain,
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD68]) ).
cnf(c69,plain,
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD69]) ).
cnf(c70,plain,
( eqratio(X3,X4,X4,X5,X0,X1,X1,X2)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD70]) ).
cnf(c74,plain,
( perp(X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD74]) ).
cnf(c75,plain,
( cong(X4,X5,X6,X7)
| ~ eqratio(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ cong(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD75]) ).
cnf(c107,plain,
( perp(sK504(X3,X0,X4,X1,X2),X3,X1,X2)
| ~ perp(X3,X4,X4,X0)
| ~ coll(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleX15]) ).
cnf(c115,plain,
coll(sK527,sK523,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c116,plain,
perp(sK526,sK527,sK535,sK528),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c117,plain,
perp(sK526,sK523,sK536,sK528),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
perp(sK527,sK523,sK537,sK528),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
perp(sK527,sK528,sK527,sK529),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
midp(sK537,sK527,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
midp(sK536,sK526,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
midp(sK535,sK526,sK527),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c123,plain,
coll(sK527,sK524,sK526),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c126,plain,
~ para(sK529,sK527,sK524,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
perp(sK527,sK528,sK529,sK527),
inference(resolution,[status(thm)],[c119,c6]) ).
cnf(d1,plain,
perp(sK529,sK527,sK527,sK528),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( perp(sK504(sK529,sK528,sK527,X0,X1),sK529,X0,X1)
| ~ coll(sK528,X0,X1) ),
inference(resolution,[status(thm)],[c107,d1]) ).
cnf(d3,plain,
( ~ perp(X2,X3,sK504(sK529,sK528,sK527,X0,X1),sK529)
| para(X2,X3,X0,X1)
| ~ coll(sK528,X0,X1) ),
inference(resolution,[status(thm)],[d2,c8]) ).
cnf(d4,plain,
perp(sK537,sK528,sK527,sK523),
inference(resolution,[status(thm)],[c118,c7]) ).
cnf(d5,plain,
perp(sK537,sK528,sK523,sK527),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
perp(sK523,sK527,sK537,sK528),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
( ~ perp(X0,X1,sK537,sK528)
| para(X0,X1,sK523,sK527) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d8,plain,
para(sK523,sK527,sK523,sK527),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d10,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d9,c38]) ).
cnf(d11,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[d11,c66]) ).
cnf(d13,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[d12,c1]) ).
cnf(d14,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
( ~ coll(X2,X2,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
coll(X0,X1,X2),
inference(resolution,[status(thm)],[d14,d15]) ).
cnf(d17,plain,
( ~ perp(X0,X1,sK504(sK529,sK528,sK527,X2,X3),sK529)
| para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[d16,d3]) ).
cnf(d18,plain,
perp(sK527,sK529,sK527,sK528),
inference(resolution,[status(thm)],[c119,c7]) ).
cnf(d19,plain,
( ~ perp(X0,X1,sK527,sK528)
| para(X0,X1,sK527,sK529) ),
inference(resolution,[status(thm)],[c119,c8]) ).
cnf(d20,plain,
para(sK527,sK529,sK527,sK529),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( ~ para(X0,X2,X0,X2)
| cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[c42,c39]) ).
cnf(d22,plain,
( cyclic(sK529,X0,sK527,sK527)
| ~ coll(sK527,sK527,X0) ),
inference(resolution,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
cyclic(sK529,X0,sK527,sK527),
inference(resolution,[status(thm)],[d14,d22]) ).
cnf(d24,plain,
cyclic(sK529,sK527,X0,sK527),
inference(resolution,[status(thm)],[d23,c14]) ).
cnf(d25,plain,
( ~ cong(sK529,X0,sK527,X0)
| ~ cong(sK529,sK527,sK527,sK527)
| perp(X0,sK529,sK529,sK527) ),
inference(resolution,[status(thm)],[d24,c57]) ).
cnf(d26,plain,
( cong(sK527,sK527,sK527,sK529)
| ~ midp(sK528,sK527,sK529) ),
inference(resolution,[status(thm)],[c55,c119]) ).
cnf(d27,plain,
( cong(sK527,sK527,sK529,sK527)
| ~ midp(sK528,sK527,sK529) ),
inference(resolution,[status(thm)],[d26,c22]) ).
cnf(d28,plain,
perp(sK527,sK529,sK528,sK527),
inference(resolution,[status(thm)],[d18,c6]) ).
cnf(d29,plain,
( ~ perp(X0,X1,sK527,sK529)
| para(X0,X1,sK528,sK527) ),
inference(resolution,[status(thm)],[d28,c8]) ).
cnf(d30,plain,
para(sK527,sK528,sK528,sK527),
inference(resolution,[status(thm)],[d29,c119]) ).
cnf(d31,plain,
( ~ midp(sK527,X0,sK528)
| midp(sK528,X0,sK527)
| ~ coll(sK528,X0,sK527) ),
inference(resolution,[status(thm)],[d30,c45]) ).
cnf(d32,plain,
( midp(sK528,X0,sK527)
| ~ midp(sK527,X0,sK528) ),
inference(resolution,[status(thm)],[d16,d31]) ).
cnf(d33,plain,
para(sK529,sK527,sK527,sK529),
inference(resolution,[status(thm)],[d19,d1]) ).
cnf(d34,plain,
( ~ midp(sK529,X0,sK527)
| midp(sK527,X0,sK529)
| ~ coll(sK527,X0,sK529) ),
inference(resolution,[status(thm)],[d33,c45]) ).
cnf(d35,plain,
coll(sK527,sK529,sK529),
inference(resolution,[status(thm)],[d20,c66]) ).
cnf(d36,plain,
coll(sK529,sK527,sK529),
inference(resolution,[status(thm)],[d35,c1]) ).
cnf(d37,plain,
coll(sK529,sK529,sK527),
inference(resolution,[status(thm)],[d36,c0]) ).
cnf(d38,plain,
( ~ coll(sK529,sK529,X0)
| coll(X0,sK527,sK529) ),
inference(resolution,[status(thm)],[d37,c2]) ).
cnf(d39,plain,
coll(X0,sK527,sK529),
inference(resolution,[status(thm)],[d14,d38]) ).
cnf(d40,plain,
coll(sK527,X0,sK529),
inference(resolution,[status(thm)],[d39,c1]) ).
cnf(d41,plain,
( ~ midp(sK529,X0,sK527)
| midp(sK527,X0,sK529) ),
inference(resolution,[status(thm)],[d40,d34]) ).
cnf(d42,plain,
perp(sK529,sK527,sK528,sK527),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d43,plain,
( cong(sK529,sK528,sK529,sK527)
| ~ midp(sK527,sK528,sK527) ),
inference(resolution,[status(thm)],[c55,d42]) ).
cnf(d44,plain,
( midp(sK529,sK528,sK527)
| ~ coll(sK529,sK528,sK527)
| ~ midp(sK527,sK528,sK527) ),
inference(resolution,[status(thm)],[d43,c67]) ).
cnf(d45,plain,
( midp(sK529,sK528,sK527)
| ~ midp(sK527,sK528,sK527) ),
inference(resolution,[status(thm)],[d16,d44]) ).
cnf(d46,plain,
( ~ midp(sK523,X0,sK523)
| midp(sK527,X0,sK527)
| ~ coll(sK527,X0,sK527) ),
inference(resolution,[status(thm)],[d8,c45]) ).
cnf(d47,plain,
( midp(sK527,X0,sK527)
| ~ midp(sK523,X0,sK523) ),
inference(resolution,[status(thm)],[d16,d46]) ).
cnf(d48,plain,
perp(sK526,sK527,sK528,sK535),
inference(resolution,[status(thm)],[c116,c6]) ).
cnf(d49,plain,
perp(sK528,sK535,sK526,sK527),
inference(resolution,[status(thm)],[d48,c7]) ).
cnf(d50,plain,
perp(sK528,sK535,sK527,sK526),
inference(resolution,[status(thm)],[d49,c6]) ).
cnf(d51,plain,
( cong(sK528,sK527,sK528,sK526)
| ~ midp(sK535,sK527,sK526) ),
inference(resolution,[status(thm)],[c55,d50]) ).
cnf(d52,plain,
midp(sK535,sK527,sK526),
inference(resolution,[status(thm)],[c10,c122]) ).
cnf(d53,plain,
cong(sK528,sK527,sK528,sK526),
inference(resolution,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
( midp(sK528,sK527,sK526)
| ~ coll(sK528,sK527,sK526) ),
inference(resolution,[status(thm)],[d53,c67]) ).
cnf(d55,plain,
( ~ coll(sK527,sK524,X0)
| coll(X0,sK526,sK527) ),
inference(resolution,[status(thm)],[c2,c123]) ).
cnf(d56,plain,
coll(sK526,sK526,sK527),
inference(resolution,[status(thm)],[d55,c123]) ).
cnf(d57,plain,
( ~ coll(sK526,sK526,X0)
| coll(X0,sK527,sK526) ),
inference(resolution,[status(thm)],[d56,c2]) ).
cnf(d58,plain,
coll(X0,sK527,sK526),
inference(resolution,[status(thm)],[d14,d57]) ).
cnf(d59,plain,
midp(sK528,sK527,sK526),
inference(resolution,[status(thm)],[d58,d54]) ).
cnf(d60,plain,
midp(sK528,sK526,sK527),
inference(resolution,[status(thm)],[d59,c10]) ).
cnf(d61,plain,
perp(sK528,sK527,sK527,sK529),
inference(resolution,[status(thm)],[d28,c7]) ).
cnf(d62,plain,
( ~ perp(X0,X1,sK527,sK529)
| para(X0,X1,sK527,sK528) ),
inference(resolution,[status(thm)],[d18,c8]) ).
cnf(d63,plain,
para(sK528,sK527,sK527,sK528),
inference(resolution,[status(thm)],[d62,d61]) ).
cnf(d64,plain,
( ~ midp(sK528,X0,sK527)
| midp(sK527,X0,sK528)
| ~ coll(sK527,X0,sK528) ),
inference(resolution,[status(thm)],[d63,c45]) ).
cnf(d65,plain,
para(sK527,sK528,sK527,sK528),
inference(resolution,[status(thm)],[d62,c119]) ).
cnf(d66,plain,
coll(sK527,sK528,sK528),
inference(resolution,[status(thm)],[d65,c66]) ).
cnf(d67,plain,
coll(sK528,sK527,sK528),
inference(resolution,[status(thm)],[d66,c1]) ).
cnf(d68,plain,
coll(sK528,sK528,sK527),
inference(resolution,[status(thm)],[d67,c0]) ).
cnf(d69,plain,
( ~ coll(sK528,sK528,X0)
| coll(X0,sK527,sK528) ),
inference(resolution,[status(thm)],[d68,c2]) ).
cnf(d70,plain,
coll(X0,sK527,sK528),
inference(resolution,[status(thm)],[d14,d69]) ).
cnf(d71,plain,
coll(sK527,X0,sK528),
inference(resolution,[status(thm)],[d70,c1]) ).
cnf(d72,plain,
( ~ midp(sK528,X0,sK527)
| midp(sK527,X0,sK528) ),
inference(resolution,[status(thm)],[d71,d64]) ).
cnf(d73,plain,
midp(sK527,sK526,sK528),
inference(resolution,[status(thm)],[d72,d60]) ).
cnf(d74,plain,
midp(sK527,sK528,sK526),
inference(resolution,[status(thm)],[d73,c10]) ).
cnf(d75,plain,
perp(sK536,sK528,sK526,sK523),
inference(resolution,[status(thm)],[c117,c7]) ).
cnf(d76,plain,
( ~ perp(X0,X1,sK536,sK528)
| para(X0,X1,sK526,sK523) ),
inference(resolution,[status(thm)],[d75,c8]) ).
cnf(d77,plain,
para(sK526,sK523,sK526,sK523),
inference(resolution,[status(thm)],[d76,c117]) ).
cnf(d78,plain,
( ~ midp(X0,sK526,sK526)
| midp(X0,sK523,sK523)
| ~ para(sK526,sK523,sK526,sK523) ),
inference(resolution,[status(thm)],[d77,c64]) ).
cnf(d79,plain,
( ~ midp(X0,sK526,sK526)
| midp(X0,sK523,sK523) ),
inference(resolution,[status(thm)],[d77,d78]) ).
cnf(d80,plain,
( ~ midp(X0,sK527,X1)
| para(X0,sK535,X1,sK526) ),
inference(resolution,[status(thm)],[c44,d52]) ).
cnf(d81,plain,
( ~ midp(X0,X2,X1)
| midp(sK535,X2,sK526)
| ~ coll(sK535,X2,sK526)
| ~ midp(X0,sK527,X1) ),
inference(resolution,[status(thm)],[d80,c45]) ).
cnf(d82,plain,
coll(sK524,sK527,sK526),
inference(resolution,[status(thm)],[c1,c123]) ).
cnf(d83,plain,
( ~ coll(sK524,sK527,X0)
| coll(X0,sK526,sK524) ),
inference(resolution,[status(thm)],[c2,d82]) ).
cnf(d84,plain,
coll(sK526,sK526,sK524),
inference(resolution,[status(thm)],[d83,d82]) ).
cnf(d85,plain,
coll(sK526,sK524,sK526),
inference(resolution,[status(thm)],[d84,c0]) ).
cnf(d86,plain,
( ~ coll(sK526,sK524,X0)
| coll(X0,sK526,sK526) ),
inference(resolution,[status(thm)],[d85,c2]) ).
cnf(d87,plain,
coll(sK527,sK526,sK524),
inference(resolution,[status(thm)],[c123,c0]) ).
cnf(d88,plain,
coll(sK526,sK527,sK524),
inference(resolution,[status(thm)],[d87,c1]) ).
cnf(d89,plain,
( ~ coll(sK526,sK527,X0)
| coll(X0,sK524,sK526) ),
inference(resolution,[status(thm)],[d88,c2]) ).
cnf(d90,plain,
coll(sK535,sK526,sK527),
inference(resolution,[status(thm)],[c69,c122]) ).
cnf(d91,plain,
coll(sK526,sK535,sK527),
inference(resolution,[status(thm)],[d90,c1]) ).
cnf(d92,plain,
coll(sK526,sK527,sK535),
inference(resolution,[status(thm)],[d91,c0]) ).
cnf(d93,plain,
coll(sK535,sK524,sK526),
inference(resolution,[status(thm)],[d92,d89]) ).
cnf(d94,plain,
coll(sK524,sK535,sK526),
inference(resolution,[status(thm)],[d93,c1]) ).
cnf(d95,plain,
coll(sK524,sK526,sK535),
inference(resolution,[status(thm)],[d94,c0]) ).
cnf(d96,plain,
coll(sK526,sK524,sK535),
inference(resolution,[status(thm)],[d95,c1]) ).
cnf(d97,plain,
coll(sK535,sK526,sK526),
inference(resolution,[status(thm)],[d96,d86]) ).
cnf(d98,plain,
coll(sK526,sK535,sK526),
inference(resolution,[status(thm)],[d97,c1]) ).
cnf(d99,plain,
coll(sK526,sK526,sK535),
inference(resolution,[status(thm)],[d98,c0]) ).
cnf(d100,plain,
( ~ coll(sK526,sK526,X0)
| coll(X0,sK535,sK526) ),
inference(resolution,[status(thm)],[d99,c2]) ).
cnf(d101,plain,
coll(X0,sK535,sK526),
inference(resolution,[status(thm)],[d14,d100]) ).
cnf(d102,plain,
coll(sK535,X0,sK526),
inference(resolution,[status(thm)],[d101,c1]) ).
cnf(d103,plain,
( midp(sK535,X1,sK526)
| ~ midp(X0,sK527,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d102,d81]) ).
cnf(d104,plain,
( midp(sK535,X0,sK526)
| ~ midp(sK537,X0,sK523) ),
inference(resolution,[status(thm)],[d103,c120]) ).
cnf(d105,plain,
perp(sK526,sK523,sK528,sK536),
inference(resolution,[status(thm)],[c117,c6]) ).
cnf(d106,plain,
perp(sK528,sK536,sK526,sK523),
inference(resolution,[status(thm)],[d105,c7]) ).
cnf(d107,plain,
( cong(sK528,sK526,sK528,sK523)
| ~ midp(sK536,sK526,sK523) ),
inference(resolution,[status(thm)],[c55,d106]) ).
cnf(d108,plain,
cong(sK528,sK526,sK528,sK523),
inference(resolution,[status(thm)],[c121,d107]) ).
cnf(d109,plain,
( midp(sK528,sK526,sK523)
| ~ coll(sK528,sK526,sK523) ),
inference(resolution,[status(thm)],[d108,c67]) ).
cnf(d110,plain,
coll(sK526,sK523,sK523),
inference(resolution,[status(thm)],[d77,c66]) ).
cnf(d111,plain,
coll(sK523,sK526,sK523),
inference(resolution,[status(thm)],[d110,c1]) ).
cnf(d112,plain,
coll(sK523,sK523,sK526),
inference(resolution,[status(thm)],[d111,c0]) ).
cnf(d113,plain,
( ~ coll(sK523,sK523,X0)
| coll(X0,sK526,sK523) ),
inference(resolution,[status(thm)],[d112,c2]) ).
cnf(d114,plain,
coll(X0,sK526,sK523),
inference(resolution,[status(thm)],[d14,d113]) ).
cnf(d115,plain,
midp(sK528,sK526,sK523),
inference(resolution,[status(thm)],[d114,d109]) ).
cnf(d116,plain,
( ~ midp(X0,sK527,X1)
| para(X0,sK537,X1,sK523) ),
inference(resolution,[status(thm)],[c44,c120]) ).
cnf(d117,plain,
( ~ midp(X0,X2,X1)
| midp(sK537,X2,sK523)
| ~ coll(sK537,X2,sK523)
| ~ midp(X0,sK527,X1) ),
inference(resolution,[status(thm)],[d116,c45]) ).
cnf(d118,plain,
coll(sK527,sK525,sK523),
inference(resolution,[status(thm)],[c0,c115]) ).
cnf(d119,plain,
( ~ coll(sK527,sK525,X0)
| coll(X0,sK523,sK527) ),
inference(resolution,[status(thm)],[c2,d118]) ).
cnf(d120,plain,
coll(sK523,sK523,sK527),
inference(resolution,[status(thm)],[d119,d118]) ).
cnf(d121,plain,
coll(sK523,sK527,sK523),
inference(resolution,[status(thm)],[d120,c0]) ).
cnf(d122,plain,
( ~ coll(sK523,sK527,X0)
| coll(X0,sK523,sK523) ),
inference(resolution,[status(thm)],[d121,c2]) ).
cnf(d123,plain,
midp(sK537,sK523,sK527),
inference(resolution,[status(thm)],[c10,c120]) ).
cnf(d124,plain,
coll(sK537,sK523,sK527),
inference(resolution,[status(thm)],[c69,d123]) ).
cnf(d125,plain,
coll(sK523,sK537,sK527),
inference(resolution,[status(thm)],[d124,c1]) ).
cnf(d126,plain,
coll(sK523,sK527,sK537),
inference(resolution,[status(thm)],[d125,c0]) ).
cnf(d127,plain,
coll(sK537,sK523,sK523),
inference(resolution,[status(thm)],[d126,d122]) ).
cnf(d128,plain,
coll(sK523,sK537,sK523),
inference(resolution,[status(thm)],[d127,c1]) ).
cnf(d129,plain,
coll(sK523,sK523,sK537),
inference(resolution,[status(thm)],[d128,c0]) ).
cnf(d130,plain,
( ~ coll(sK523,sK523,X0)
| coll(X0,sK537,sK523) ),
inference(resolution,[status(thm)],[d129,c2]) ).
cnf(d131,plain,
coll(X0,sK537,sK523),
inference(resolution,[status(thm)],[d14,d130]) ).
cnf(d132,plain,
coll(sK537,X0,sK523),
inference(resolution,[status(thm)],[d131,c1]) ).
cnf(d133,plain,
( midp(sK537,X1,sK523)
| ~ midp(X0,sK527,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d132,d117]) ).
cnf(d134,plain,
perp(sK527,sK523,sK528,sK537),
inference(resolution,[status(thm)],[c118,c6]) ).
cnf(d135,plain,
perp(sK528,sK537,sK527,sK523),
inference(resolution,[status(thm)],[d134,c7]) ).
cnf(d136,plain,
perp(sK528,sK537,sK523,sK527),
inference(resolution,[status(thm)],[d135,c6]) ).
cnf(d137,plain,
( cong(sK528,sK523,sK528,sK527)
| ~ midp(sK537,sK523,sK527) ),
inference(resolution,[status(thm)],[c55,d136]) ).
cnf(d138,plain,
cong(sK528,sK523,sK528,sK527),
inference(resolution,[status(thm)],[d123,d137]) ).
cnf(d139,plain,
( midp(sK528,sK523,sK527)
| ~ coll(sK528,sK523,sK527) ),
inference(resolution,[status(thm)],[d138,c67]) ).
cnf(d140,plain,
coll(sK523,sK527,sK525),
inference(resolution,[status(thm)],[c1,c115]) ).
cnf(d141,plain,
coll(sK523,sK525,sK527),
inference(resolution,[status(thm)],[d140,c0]) ).
cnf(d142,plain,
( ~ coll(sK523,sK525,X0)
| coll(X0,sK527,sK523) ),
inference(resolution,[status(thm)],[d141,c2]) ).
cnf(d143,plain,
coll(sK527,sK527,sK523),
inference(resolution,[status(thm)],[d142,d141]) ).
cnf(d144,plain,
( ~ coll(sK527,sK527,X0)
| coll(X0,sK523,sK527) ),
inference(resolution,[status(thm)],[d143,c2]) ).
cnf(d145,plain,
coll(X0,sK523,sK527),
inference(resolution,[status(thm)],[d14,d144]) ).
cnf(d146,plain,
midp(sK528,sK523,sK527),
inference(resolution,[status(thm)],[d145,d139]) ).
cnf(d147,plain,
midp(sK528,sK527,sK523),
inference(resolution,[status(thm)],[d146,c10]) ).
cnf(d148,plain,
( midp(sK537,X0,sK523)
| ~ midp(sK528,X0,sK523) ),
inference(resolution,[status(thm)],[d147,d133]) ).
cnf(d149,plain,
midp(sK537,sK526,sK523),
inference(resolution,[status(thm)],[d148,d115]) ).
cnf(d150,plain,
midp(sK535,sK526,sK526),
inference(resolution,[status(thm)],[d149,d104]) ).
cnf(d151,plain,
midp(sK535,sK523,sK523),
inference(resolution,[status(thm)],[d150,d79]) ).
cnf(d152,plain,
( ~ midp(sK535,X0,X1)
| para(sK527,X0,sK526,X1) ),
inference(resolution,[status(thm)],[c63,d52]) ).
cnf(d153,plain,
( ~ midp(sK527,X2,sK526)
| midp(X0,X2,X1)
| ~ coll(X0,X2,X1)
| ~ midp(sK535,X0,X1) ),
inference(resolution,[status(thm)],[d152,c45]) ).
cnf(d154,plain,
( ~ midp(sK535,X0,X2)
| ~ midp(sK527,X1,sK526)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d16,d153]) ).
cnf(d155,plain,
( ~ midp(sK527,X0,sK526)
| midp(sK523,X0,sK523) ),
inference(resolution,[status(thm)],[d154,d151]) ).
cnf(d156,plain,
midp(sK523,sK528,sK523),
inference(resolution,[status(thm)],[d155,d74]) ).
cnf(d157,plain,
midp(sK527,sK528,sK527),
inference(resolution,[status(thm)],[d156,d47]) ).
cnf(d158,plain,
midp(sK529,sK528,sK527),
inference(resolution,[status(thm)],[d157,d45]) ).
cnf(d159,plain,
midp(sK527,sK528,sK529),
inference(resolution,[status(thm)],[d158,d41]) ).
cnf(d160,plain,
midp(sK527,sK529,sK528),
inference(resolution,[status(thm)],[d159,c10]) ).
cnf(d161,plain,
midp(sK528,sK529,sK527),
inference(resolution,[status(thm)],[d160,d32]) ).
cnf(d162,plain,
midp(sK528,sK527,sK529),
inference(resolution,[status(thm)],[d161,c10]) ).
cnf(d163,plain,
cong(sK527,sK527,sK529,sK527),
inference(resolution,[status(thm)],[d162,d27]) ).
cnf(d164,plain,
cong(sK529,sK527,sK527,sK527),
inference(resolution,[status(thm)],[d163,c23]) ).
cnf(d165,plain,
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c68,c22]) ).
cnf(d166,plain,
( ~ cong(X3,X4,X0,X1)
| cong(X3,X4,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d165,c24]) ).
cnf(d167,plain,
( cong(sK529,sK527,X0,sK527)
| ~ midp(sK527,sK527,X0) ),
inference(resolution,[status(thm)],[d166,d164]) ).
cnf(d168,plain,
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c68,c11]) ).
cnf(d169,plain,
( ~ midp(X0,X1,X3)
| circle(X0,X1,X3,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d168,c68]) ).
cnf(d170,plain,
( eqangle(X2,X1,X2,X0,X3,X1,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c40,c18]) ).
cnf(d171,plain,
( ~ circle(X3,X2,X1,X0)
| midp(X0,X1,X0)
| ~ coll(X0,X1,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[d170,c51]) ).
cnf(d172,plain,
( ~ cyclic(X0,X1,X3,X2)
| ~ circle(X2,X3,X1,X0)
| midp(X0,X1,X0) ),
inference(resolution,[status(thm)],[d13,d171]) ).
cnf(d173,plain,
( cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d9,c42]) ).
cnf(d174,plain,
( cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[d11,d173]) ).
cnf(d175,plain,
cyclic(X0,X1,X2,X2),
inference(resolution,[status(thm)],[d16,d174]) ).
cnf(d176,plain,
cyclic(X0,X1,X2,X1),
inference(resolution,[status(thm)],[d175,c14]) ).
cnf(d177,plain,
cyclic(X0,X1,X2,X0),
inference(resolution,[status(thm)],[d176,c15]) ).
cnf(d178,plain,
cyclic(X0,X1,X0,X2),
inference(resolution,[status(thm)],[d177,c13]) ).
cnf(d179,plain,
cyclic(X0,X0,X1,X2),
inference(resolution,[status(thm)],[d178,c14]) ).
cnf(d180,plain,
( ~ circle(X1,X2,X0,X0)
| midp(X0,X0,X0) ),
inference(resolution,[status(thm)],[d179,d172]) ).
cnf(d181,plain,
( ~ midp(X1,X2,X0)
| ~ midp(X1,X2,X0)
| midp(X0,X0,X0) ),
inference(resolution,[status(thm)],[d180,d169]) ).
cnf(d182,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d16,c67]) ).
cnf(d183,plain,
( cong(sK529,X0,sK527,X0)
| ~ midp(X0,sK529,sK528) ),
inference(resolution,[status(thm)],[c52,d1]) ).
cnf(d184,plain,
( ~ para(X1,X3,X2,X4)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X3,X4)
| ~ cong(X0,X3,X3,X4)
| cong(X0,X1,X1,X2) ),
inference(resolution,[status(thm)],[c75,c65]) ).
cnf(d185,plain,
( ~ midp(sK527,sK529,sK528)
| cong(sK529,X0,X0,X1)
| ~ para(X0,sK527,X1,sK527)
| ~ coll(sK529,X0,X1)
| ~ coll(sK529,sK527,sK527) ),
inference(resolution,[status(thm)],[d184,d183]) ).
cnf(d186,plain,
( cong(sK529,X0,X0,X1)
| ~ midp(sK527,sK529,sK528)
| ~ para(X0,sK527,X1,sK527)
| ~ coll(sK529,sK527,sK527) ),
inference(resolution,[status(thm)],[d16,d185]) ).
cnf(d187,plain,
( cong(sK529,X0,X0,X1)
| ~ para(X0,sK527,X1,sK527)
| ~ coll(sK529,sK527,sK527) ),
inference(resolution,[status(thm)],[d160,d186]) ).
cnf(d188,plain,
( cong(sK529,X0,X0,X0)
| ~ coll(sK529,sK527,sK527) ),
inference(resolution,[status(thm)],[d187,d11]) ).
cnf(d189,plain,
cong(sK529,X0,X0,X0),
inference(resolution,[status(thm)],[d16,d188]) ).
cnf(d190,plain,
cong(X0,X0,sK529,X0),
inference(resolution,[status(thm)],[d189,c23]) ).
cnf(d191,plain,
cong(X0,X0,X0,sK529),
inference(resolution,[status(thm)],[d190,c22]) ).
cnf(d192,plain,
midp(X0,X0,sK529),
inference(resolution,[status(thm)],[d191,d182]) ).
cnf(d193,plain,
midp(X0,sK529,X0),
inference(resolution,[status(thm)],[d192,c10]) ).
cnf(d194,plain,
midp(X0,X0,X0),
inference(resolution,[status(thm)],[d193,d181]) ).
cnf(d195,plain,
( ~ midp(X2,X1,X2)
| midp(X0,X1,X0)
| ~ coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[d11,c45]) ).
cnf(d196,plain,
( midp(X2,X1,X2)
| ~ midp(X0,X1,X0) ),
inference(resolution,[status(thm)],[d16,d195]) ).
cnf(d197,plain,
midp(X0,X1,X0),
inference(resolution,[status(thm)],[d196,d194]) ).
cnf(d198,plain,
midp(X0,X0,X1),
inference(resolution,[status(thm)],[d197,c10]) ).
cnf(d199,plain,
cong(sK529,sK527,X0,sK527),
inference(resolution,[status(thm)],[d198,d167]) ).
cnf(d200,plain,
( ~ cong(sK529,X0,sK527,X0)
| perp(X0,sK529,sK529,sK527) ),
inference(resolution,[status(thm)],[d199,d25]) ).
cnf(d201,plain,
( cong(sK527,sK529,sK527,sK527)
| ~ midp(sK528,sK529,sK527) ),
inference(resolution,[status(thm)],[c55,d0]) ).
cnf(d202,plain,
( ~ cong(X2,X0,X2,X1)
| perp(X2,X0,X0,X1)
| ~ perp(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[c74,c46]) ).
cnf(d203,plain,
( ~ midp(sK528,sK529,sK527)
| ~ perp(sK529,sK527,sK527,sK527)
| perp(sK527,sK529,sK529,sK527) ),
inference(resolution,[status(thm)],[d202,d201]) ).
cnf(d204,plain,
( ~ perp(sK529,sK527,sK527,sK527)
| perp(sK527,sK529,sK529,sK527) ),
inference(resolution,[status(thm)],[d161,d203]) ).
cnf(d205,plain,
( perp(X0,X1,sK529,sK527)
| ~ para(X0,X1,sK527,sK528) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d206,plain,
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(resolution,[status(thm)],[c46,c38]) ).
cnf(d207,plain,
( ~ midp(X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[status(thm)],[d206,c68]) ).
cnf(d208,plain,
( perp(sK527,sK527,sK529,sK527)
| ~ midp(sK527,sK527,sK528) ),
inference(resolution,[status(thm)],[d207,d205]) ).
cnf(d209,plain,
midp(sK527,sK527,sK528),
inference(resolution,[status(thm)],[d157,c10]) ).
cnf(d210,plain,
perp(sK527,sK527,sK529,sK527),
inference(resolution,[status(thm)],[d209,d208]) ).
cnf(d211,plain,
perp(sK529,sK527,sK527,sK527),
inference(resolution,[status(thm)],[d210,c7]) ).
cnf(d212,plain,
perp(sK527,sK529,sK529,sK527),
inference(resolution,[status(thm)],[d211,d204]) ).
cnf(d213,plain,
perp(sK529,sK527,sK527,sK529),
inference(resolution,[status(thm)],[d212,c7]) ).
cnf(d214,plain,
( cong(sK529,X0,sK527,X0)
| ~ midp(X0,sK529,sK529) ),
inference(resolution,[status(thm)],[d213,c52]) ).
cnf(d215,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X4,X5)
| ~ cong(X3,X4,X4,X5)
| cong(X0,X1,X1,X2) ),
inference(resolution,[status(thm)],[c75,c70]) ).
cnf(d216,plain,
( ~ midp(sK527,sK529,sK528)
| cong(X0,X1,X1,X2)
| ~ midp(X0,X1,X2)
| ~ midp(sK529,sK527,sK527) ),
inference(resolution,[status(thm)],[d215,d183]) ).
cnf(d217,plain,
( cong(X0,X1,X1,X2)
| ~ midp(sK529,sK527,sK527)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d160,d216]) ).
cnf(d218,plain,
para(sK529,sK527,sK529,sK527),
inference(resolution,[status(thm)],[d33,c3]) ).
cnf(d219,plain,
( ~ midp(X0,sK529,sK529)
| midp(X0,sK527,sK527)
| ~ para(sK529,sK527,sK529,sK527) ),
inference(resolution,[status(thm)],[d218,c64]) ).
cnf(d220,plain,
( ~ midp(X0,sK529,sK529)
| midp(X0,sK527,sK527) ),
inference(resolution,[status(thm)],[d11,d219]) ).
cnf(d221,plain,
( ~ midp(sK527,X0,sK527)
| midp(sK529,X0,sK529)
| ~ coll(sK529,X0,sK529) ),
inference(resolution,[status(thm)],[d20,c45]) ).
cnf(d222,plain,
( midp(sK529,X0,sK529)
| ~ midp(sK527,X0,sK527) ),
inference(resolution,[status(thm)],[d13,d221]) ).
cnf(d223,plain,
( midp(sK527,sK529,sK527)
| ~ coll(sK527,sK529,sK527)
| ~ midp(sK528,sK529,sK527) ),
inference(resolution,[status(thm)],[d201,c67]) ).
cnf(d224,plain,
( ~ midp(sK528,sK529,sK527)
| midp(sK527,sK529,sK527) ),
inference(resolution,[status(thm)],[d16,d223]) ).
cnf(d225,plain,
midp(sK527,sK529,sK527),
inference(resolution,[status(thm)],[d161,d224]) ).
cnf(d226,plain,
midp(sK529,sK529,sK529),
inference(resolution,[status(thm)],[d225,d222]) ).
cnf(d227,plain,
midp(sK529,sK527,sK527),
inference(resolution,[status(thm)],[d226,d220]) ).
cnf(d228,plain,
( cong(X0,X1,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d227,d217]) ).
cnf(d229,plain,
( cong(X0,X1,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d228,c22]) ).
cnf(d230,plain,
( midp(X0,X1,X1)
| ~ midp(X0,X1,X0) ),
inference(resolution,[status(thm)],[d229,d182]) ).
cnf(d231,plain,
midp(X0,sK529,sK529),
inference(resolution,[status(thm)],[d193,d230]) ).
cnf(d232,plain,
cong(sK529,X0,sK527,X0),
inference(resolution,[status(thm)],[d231,d214]) ).
cnf(d233,plain,
perp(X0,sK529,sK529,sK527),
inference(resolution,[status(thm)],[d232,d200]) ).
cnf(d234,plain,
perp(sK529,sK527,X0,sK529),
inference(resolution,[status(thm)],[d233,c7]) ).
cnf(d235,plain,
para(sK529,sK527,X0,X1),
inference(resolution,[status(thm)],[d234,d17]) ).
cnf(d236,plain,
$false,
inference(resolution,[status(thm)],[d235,c126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 13:46:06 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.91/31.46 % SZS status Theorem for theBenchmark.p
% 91.91/31.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------