%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 63.07s 11.05s
% Output : CNFRefutation 63.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 19
% Syntax : Number of formulae : 179 ( 90 unt; 0 def)
% Number of atoms : 309 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 227 ( 97 ~; 94 |; 16 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 282 ( 25 sgn 94 !; 0 ?)
% 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(ruleD5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ) ).
fof(ruleD6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ) ).
fof(ruleD11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ) ).
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(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(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(ruleD63,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,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(exemplo6GDDFULLmoreE0156,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X6,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X6,X1) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULLmoreE0156]) ).
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(X2,X3,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(c4,plain,
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD5]) ).
cnf(c5,plain,
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD6]) ).
cnf(c10,plain,
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD11]) ).
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(c24,plain,
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ 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(c44,plain,
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD44]) ).
cnf(c45,plain,
( midp(X3,X1,X4)
| ~ coll(X3,X1,X4)
| ~ para(X0,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD45]) ).
cnf(c63,plain,
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD63]) ).
cnf(c66,plain,
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(clausification,[status(esa)],[ruleD66]) ).
cnf(c67,plain,
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,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(c113,plain,
midp(sK525,sK522,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c114,plain,
midp(sK526,sK523,sK522),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c115,plain,
midp(sK527,sK524,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c116,plain,
para(sK522,sK527,sK528,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c117,plain,
para(sK522,sK524,sK528,sK527),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
~ para(sK524,sK526,sK528,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
para(sK528,sK527,sK522,sK524),
inference(resolution,[status(thm)],[c4,c117]) ).
cnf(d1,plain,
( ~ midp(sK528,X0,sK522)
| midp(sK527,X0,sK524)
| ~ coll(sK527,X0,sK524) ),
inference(resolution,[status(thm)],[c45,d0]) ).
cnf(d2,plain,
midp(sK527,sK523,sK524),
inference(resolution,[status(thm)],[c10,c115]) ).
cnf(d3,plain,
coll(sK527,sK523,sK524),
inference(resolution,[status(thm)],[c69,d2]) ).
cnf(d4,plain,
( ~ coll(sK527,sK523,X0)
| coll(X0,sK524,sK527) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
coll(sK527,sK524,sK523),
inference(resolution,[status(thm)],[c69,c115]) ).
cnf(d6,plain,
( ~ coll(sK527,sK524,X0)
| coll(X0,sK523,sK527) ),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
coll(sK523,sK523,sK527),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ coll(sK523,sK523,X0)
| coll(X0,sK527,sK523) ),
inference(resolution,[status(thm)],[d7,c2]) ).
cnf(d9,plain,
para(sK528,sK525,sK522,sK527),
inference(resolution,[status(thm)],[c4,c116]) ).
cnf(d10,plain,
( para(sK522,sK527,X0,X1)
| ~ para(sK528,sK525,X0,X1) ),
inference(resolution,[status(thm)],[c5,c116]) ).
cnf(d11,plain,
para(sK522,sK527,sK522,sK527),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d13,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d12,c38]) ).
cnf(d14,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[d14,c66]) ).
cnf(d16,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[d15,c1]) ).
cnf(d17,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
coll(X0,sK527,sK523),
inference(resolution,[status(thm)],[d17,d8]) ).
cnf(d19,plain,
coll(sK527,X0,sK523),
inference(resolution,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
coll(sK527,sK523,X0),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
coll(X0,sK524,sK527),
inference(resolution,[status(thm)],[d20,d4]) ).
cnf(d22,plain,
coll(X0,sK527,sK524),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
coll(sK527,X0,sK524),
inference(resolution,[status(thm)],[d22,c1]) ).
cnf(d24,plain,
( ~ midp(sK528,X0,sK522)
| midp(sK527,X0,sK524) ),
inference(resolution,[status(thm)],[d23,d1]) ).
cnf(d25,plain,
para(sK522,sK527,sK525,sK528),
inference(resolution,[status(thm)],[c3,c116]) ).
cnf(d26,plain,
para(sK525,sK528,sK522,sK527),
inference(resolution,[status(thm)],[d25,c4]) ).
cnf(d27,plain,
para(sK525,sK528,sK527,sK522),
inference(resolution,[status(thm)],[d26,c3]) ).
cnf(d28,plain,
( ~ midp(sK525,X0,sK527)
| midp(sK528,X0,sK522)
| ~ coll(sK528,X0,sK522) ),
inference(resolution,[status(thm)],[c45,d27]) ).
cnf(d29,plain,
( para(sK528,sK527,X0,X1)
| ~ para(sK522,sK524,X0,X1) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d30,plain,
para(sK528,sK527,sK528,sK527),
inference(resolution,[status(thm)],[d29,c117]) ).
cnf(d31,plain,
coll(sK528,sK527,sK527),
inference(resolution,[status(thm)],[d30,c66]) ).
cnf(d32,plain,
coll(sK527,sK528,sK527),
inference(resolution,[status(thm)],[d31,c1]) ).
cnf(d33,plain,
coll(sK527,sK527,sK528),
inference(resolution,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
coll(sK522,sK527,sK527),
inference(resolution,[status(thm)],[c66,d11]) ).
cnf(d35,plain,
coll(sK527,sK522,sK527),
inference(resolution,[status(thm)],[d34,c1]) ).
cnf(d36,plain,
coll(sK527,sK527,sK522),
inference(resolution,[status(thm)],[d35,c0]) ).
cnf(d37,plain,
( ~ coll(sK527,sK527,X0)
| coll(X0,sK522,sK527) ),
inference(resolution,[status(thm)],[d36,c2]) ).
cnf(d38,plain,
coll(sK528,sK522,sK527),
inference(resolution,[status(thm)],[d37,d33]) ).
cnf(d39,plain,
coll(sK528,sK527,sK522),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
( ~ coll(sK528,sK527,X0)
| coll(X0,sK522,sK528) ),
inference(resolution,[status(thm)],[d39,c2]) ).
cnf(d41,plain,
( ~ coll(sK527,sK527,X0)
| coll(X0,sK528,sK527) ),
inference(resolution,[status(thm)],[d33,c2]) ).
cnf(d42,plain,
coll(X0,sK528,sK527),
inference(resolution,[status(thm)],[d17,d41]) ).
cnf(d43,plain,
coll(sK528,X0,sK527),
inference(resolution,[status(thm)],[d42,c1]) ).
cnf(d44,plain,
coll(sK528,sK527,X0),
inference(resolution,[status(thm)],[d43,c0]) ).
cnf(d45,plain,
coll(X0,sK522,sK528),
inference(resolution,[status(thm)],[d44,d40]) ).
cnf(d46,plain,
coll(X0,sK528,sK522),
inference(resolution,[status(thm)],[d45,c0]) ).
cnf(d47,plain,
coll(sK528,X0,sK522),
inference(resolution,[status(thm)],[d46,c1]) ).
cnf(d48,plain,
( midp(sK528,X0,sK522)
| ~ midp(sK525,X0,sK527) ),
inference(resolution,[status(thm)],[d47,d28]) ).
cnf(d49,plain,
midp(sK525,sK524,sK522),
inference(resolution,[status(thm)],[c10,c113]) ).
cnf(d50,plain,
( ~ midp(sK525,X0,sK522)
| midp(sK528,X0,sK527)
| ~ coll(sK528,X0,sK527) ),
inference(resolution,[status(thm)],[c45,d26]) ).
cnf(d51,plain,
( midp(sK528,sK524,sK527)
| ~ coll(sK528,sK524,sK527) ),
inference(resolution,[status(thm)],[d50,d49]) ).
cnf(d52,plain,
coll(sK524,sK527,sK523),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d53,plain,
coll(sK524,sK523,sK527),
inference(resolution,[status(thm)],[d52,c0]) ).
cnf(d54,plain,
( ~ coll(sK524,sK523,X0)
| coll(X0,sK527,sK524) ),
inference(resolution,[status(thm)],[d53,c2]) ).
cnf(d55,plain,
coll(sK527,sK527,sK524),
inference(resolution,[status(thm)],[d54,d53]) ).
cnf(d56,plain,
coll(sK524,sK528,sK527),
inference(resolution,[status(thm)],[d41,d55]) ).
cnf(d57,plain,
coll(sK528,sK524,sK527),
inference(resolution,[status(thm)],[d56,c1]) ).
cnf(d58,plain,
midp(sK528,sK524,sK527),
inference(resolution,[status(thm)],[d57,d51]) ).
cnf(d59,plain,
midp(sK528,sK527,sK524),
inference(resolution,[status(thm)],[d58,c10]) ).
cnf(d60,plain,
( ~ midp(X0,sK523,X1)
| para(X0,sK526,X1,sK522) ),
inference(resolution,[status(thm)],[c44,c114]) ).
cnf(d61,plain,
( para(X1,sK522,X0,sK526)
| ~ midp(X0,sK523,X1) ),
inference(resolution,[status(thm)],[d60,c4]) ).
cnf(d62,plain,
para(sK528,sK525,sK527,sK522),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d63,plain,
( para(sK528,sK525,X0,X1)
| ~ para(sK527,sK522,X0,X1) ),
inference(resolution,[status(thm)],[d62,c5]) ).
cnf(d64,plain,
( ~ midp(X0,sK523,sK527)
| para(sK528,sK525,X0,sK526) ),
inference(resolution,[status(thm)],[d63,d61]) ).
cnf(d65,plain,
( ~ midp(sK528,X1,X0)
| midp(sK525,X1,sK526)
| ~ coll(sK525,X1,sK526)
| ~ midp(X0,sK523,sK527) ),
inference(resolution,[status(thm)],[d64,c45]) ).
cnf(d66,plain,
( ~ coll(X2,X2,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d67,plain,
coll(X0,X1,X2),
inference(resolution,[status(thm)],[d17,d66]) ).
cnf(d68,plain,
( ~ midp(sK528,X1,X0)
| midp(sK525,X1,sK526)
| ~ midp(X0,sK523,sK527) ),
inference(resolution,[status(thm)],[d67,d65]) ).
cnf(d69,plain,
( midp(sK525,sK527,sK526)
| ~ midp(sK524,sK523,sK527) ),
inference(resolution,[status(thm)],[d68,d59]) ).
cnf(d70,plain,
( ~ midp(sK522,X0,sK528)
| midp(sK524,X0,sK527)
| ~ coll(sK524,X0,sK527) ),
inference(resolution,[status(thm)],[c45,c117]) ).
cnf(d71,plain,
coll(sK524,X0,sK527),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d72,plain,
( midp(sK524,X0,sK527)
| ~ midp(sK522,X0,sK528) ),
inference(resolution,[status(thm)],[d71,d70]) ).
cnf(d73,plain,
( para(sK528,sK525,X0,X1)
| ~ para(sK522,sK527,X0,X1) ),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d74,plain,
para(sK528,sK525,sK528,sK525),
inference(resolution,[status(thm)],[d73,c116]) ).
cnf(d75,plain,
( ~ midp(sK528,X0,sK528)
| midp(sK525,X0,sK525)
| ~ coll(sK525,X0,sK525) ),
inference(resolution,[status(thm)],[d74,c45]) ).
cnf(d76,plain,
( ~ midp(sK528,X0,sK528)
| midp(sK525,X0,sK525) ),
inference(resolution,[status(thm)],[d16,d75]) ).
cnf(d77,plain,
para(sK528,sK527,sK524,sK522),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d78,plain,
( ~ midp(sK528,X0,sK524)
| midp(sK527,X0,sK522)
| ~ coll(sK527,X0,sK522) ),
inference(resolution,[status(thm)],[c45,d77]) ).
cnf(d79,plain,
( midp(sK527,sK527,sK522)
| ~ coll(sK527,sK527,sK522) ),
inference(resolution,[status(thm)],[d59,d78]) ).
cnf(d80,plain,
para(sK522,sK527,sK527,sK522),
inference(resolution,[status(thm)],[d10,d62]) ).
cnf(d81,plain,
para(sK527,sK522,sK522,sK527),
inference(resolution,[status(thm)],[d80,c4]) ).
cnf(d82,plain,
para(sK527,sK522,sK527,sK522),
inference(resolution,[status(thm)],[d81,c3]) ).
cnf(d83,plain,
coll(sK527,sK522,sK522),
inference(resolution,[status(thm)],[c66,d82]) ).
cnf(d84,plain,
coll(sK522,sK527,sK522),
inference(resolution,[status(thm)],[d83,c1]) ).
cnf(d85,plain,
coll(sK522,sK522,sK527),
inference(resolution,[status(thm)],[d84,c0]) ).
cnf(d86,plain,
( ~ coll(sK522,sK522,X0)
| coll(X0,sK527,sK522) ),
inference(resolution,[status(thm)],[d85,c2]) ).
cnf(d87,plain,
coll(X0,sK527,sK522),
inference(resolution,[status(thm)],[d17,d86]) ).
cnf(d88,plain,
coll(sK527,X0,sK522),
inference(resolution,[status(thm)],[d87,c1]) ).
cnf(d89,plain,
midp(sK527,sK527,sK522),
inference(resolution,[status(thm)],[d88,d79]) ).
cnf(d90,plain,
midp(sK527,sK522,sK527),
inference(resolution,[status(thm)],[d89,c10]) ).
cnf(d91,plain,
para(sK522,sK524,sK527,sK528),
inference(resolution,[status(thm)],[c117,c3]) ).
cnf(d92,plain,
para(sK527,sK528,sK522,sK524),
inference(resolution,[status(thm)],[d91,c4]) ).
cnf(d93,plain,
( para(sK527,sK528,X0,X1)
| ~ para(sK522,sK524,X0,X1) ),
inference(resolution,[status(thm)],[d92,c5]) ).
cnf(d94,plain,
para(sK527,sK528,sK527,sK528),
inference(resolution,[status(thm)],[d93,d91]) ).
cnf(d95,plain,
( ~ midp(sK527,X0,sK527)
| midp(sK528,X0,sK528)
| ~ coll(sK528,X0,sK528) ),
inference(resolution,[status(thm)],[d94,c45]) ).
cnf(d96,plain,
( midp(sK528,X0,sK528)
| ~ midp(sK527,X0,sK527) ),
inference(resolution,[status(thm)],[d16,d95]) ).
cnf(d97,plain,
midp(sK528,sK522,sK528),
inference(resolution,[status(thm)],[d96,d90]) ).
cnf(d98,plain,
midp(sK525,sK522,sK525),
inference(resolution,[status(thm)],[d97,d76]) ).
cnf(d99,plain,
midp(sK525,sK525,sK522),
inference(resolution,[status(thm)],[d98,c10]) ).
cnf(d100,plain,
( ~ midp(X0,sK524,X1)
| para(X0,sK527,X1,sK523) ),
inference(resolution,[status(thm)],[c44,c115]) ).
cnf(d101,plain,
( ~ midp(X0,X2,X1)
| midp(sK527,X2,sK523)
| ~ coll(sK527,X2,sK523)
| ~ midp(X0,sK524,X1) ),
inference(resolution,[status(thm)],[d100,c45]) ).
cnf(d102,plain,
( midp(sK527,X0,sK523)
| ~ midp(sK525,X0,sK522)
| ~ coll(sK527,X0,sK523) ),
inference(resolution,[status(thm)],[d101,d49]) ).
cnf(d103,plain,
( midp(sK527,X0,sK523)
| ~ midp(sK525,X0,sK522) ),
inference(resolution,[status(thm)],[d19,d102]) ).
cnf(d104,plain,
midp(sK527,sK525,sK523),
inference(resolution,[status(thm)],[d103,d99]) ).
cnf(d105,plain,
midp(sK527,sK523,sK525),
inference(resolution,[status(thm)],[d104,c10]) ).
cnf(d106,plain,
para(sK527,sK522,sK525,sK528),
inference(resolution,[status(thm)],[d27,c4]) ).
cnf(d107,plain,
( ~ midp(sK527,X0,sK525)
| midp(sK522,X0,sK528)
| ~ coll(sK522,X0,sK528) ),
inference(resolution,[status(thm)],[c45,d106]) ).
cnf(d108,plain,
coll(sK522,X0,sK528),
inference(resolution,[status(thm)],[d45,c1]) ).
cnf(d109,plain,
( ~ midp(sK527,X0,sK525)
| midp(sK522,X0,sK528) ),
inference(resolution,[status(thm)],[d108,d107]) ).
cnf(d110,plain,
midp(sK522,sK523,sK528),
inference(resolution,[status(thm)],[d109,d105]) ).
cnf(d111,plain,
midp(sK524,sK523,sK527),
inference(resolution,[status(thm)],[d110,d72]) ).
cnf(d112,plain,
midp(sK525,sK527,sK526),
inference(resolution,[status(thm)],[d111,d69]) ).
cnf(d113,plain,
midp(sK525,sK526,sK527),
inference(resolution,[status(thm)],[d112,c10]) ).
cnf(d114,plain,
midp(sK528,sK526,sK522),
inference(resolution,[status(thm)],[d113,d48]) ).
cnf(d115,plain,
midp(sK527,sK526,sK524),
inference(resolution,[status(thm)],[d114,d24]) ).
cnf(d116,plain,
( ~ cong(X3,X4,X0,X1)
| cong(X3,X4,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c68,c24]) ).
cnf(d117,plain,
( ~ midp(X0,X3,X1)
| cong(X0,X3,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d116,c68]) ).
cnf(d118,plain,
( cong(sK527,X0,sK527,sK523)
| ~ midp(sK527,X0,sK524) ),
inference(resolution,[status(thm)],[d117,c115]) ).
cnf(d119,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d67,c67]) ).
cnf(d120,plain,
( ~ midp(sK527,X0,sK524)
| midp(sK527,X0,sK523) ),
inference(resolution,[status(thm)],[d119,d118]) ).
cnf(d121,plain,
midp(sK527,sK526,sK523),
inference(resolution,[status(thm)],[d120,d115]) ).
cnf(d122,plain,
para(sK528,sK527,sK527,sK528),
inference(resolution,[status(thm)],[d29,d91]) ).
cnf(d123,plain,
( ~ midp(sK528,X0,sK527)
| midp(sK527,X0,sK528)
| ~ coll(sK527,X0,sK528) ),
inference(resolution,[status(thm)],[d122,c45]) ).
cnf(d124,plain,
( midp(sK527,sK524,sK528)
| ~ coll(sK527,sK524,sK528) ),
inference(resolution,[status(thm)],[d58,d123]) ).
cnf(d125,plain,
coll(sK527,sK528,sK528),
inference(resolution,[status(thm)],[d94,c66]) ).
cnf(d126,plain,
coll(sK528,sK527,sK528),
inference(resolution,[status(thm)],[d125,c1]) ).
cnf(d127,plain,
coll(sK528,sK528,sK527),
inference(resolution,[status(thm)],[d126,c0]) ).
cnf(d128,plain,
( ~ coll(sK528,sK528,X0)
| coll(X0,sK527,sK528) ),
inference(resolution,[status(thm)],[d127,c2]) ).
cnf(d129,plain,
coll(X0,sK527,sK528),
inference(resolution,[status(thm)],[d17,d128]) ).
cnf(d130,plain,
coll(sK527,X0,sK528),
inference(resolution,[status(thm)],[d129,c1]) ).
cnf(d131,plain,
midp(sK527,sK524,sK528),
inference(resolution,[status(thm)],[d130,d124]) ).
cnf(d132,plain,
( ~ midp(sK527,X0,X1)
| para(sK524,X0,sK528,X1) ),
inference(resolution,[status(thm)],[d131,c63]) ).
cnf(d133,plain,
~ midp(sK527,sK526,sK523),
inference(resolution,[status(thm)],[d132,c118]) ).
cnf(d134,plain,
$false,
inference(resolution,[status(thm)],[d133,d121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n002.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 13:49:05 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.07/11.05 % SZS status Theorem for theBenchmark.p
% 63.07/11.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------