%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO583+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 : n011.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 07:15:27 AM UTC 2026
% Result : Theorem 103.91s 13.60s
% Output : CNFRefutation 103.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 157 ( 48 unt; 0 def)
% Number of atoms : 347 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 321 ( 131 ~; 129 |; 33 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 460 ( 42 sgn 146 !; 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(ruleD13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ) ).
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(ruleD18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ) ).
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(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(ruleD43,axiom,
! [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) ) ).
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(ruleD53,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ) ).
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(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(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(exemplo6GDDFULL416045,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X6,X8,X1,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X6,X8,X1,X2) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULL416045]) ).
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(c12,plain,
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(clausification,[status(esa)],[ruleD13]) ).
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(c17,plain,
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(clausification,[status(esa)],[ruleD18]) ).
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(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(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(clausification,[status(esa)],[ruleD42b]) ).
cnf(c43,plain,
( ~ eqangle(X2,X0,X2,X1,X5,X4,X5,X3)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X4,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD43]) ).
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(c53,plain,
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD53]) ).
cnf(c63,plain,
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD63]) ).
cnf(c64,plain,
( midp(X0,X3,X4)
| ~ para(X1,X4,X2,X3)
| ~ para(X1,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD64]) ).
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(c74,plain,
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(clausification,[status(esa)],[ruleD74]) ).
cnf(c113,plain,
circle(sK525,sK522,sK523,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c115,plain,
midp(sK527,sK524,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c116,plain,
midp(sK528,sK522,sK526),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c117,plain,
midp(sK529,sK528,sK527),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
cong(sK525,sK529,sK525,sK530),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
coll(sK531,sK522,sK526),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
coll(sK531,sK523,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
~ perp(sK528,sK530,sK523,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( perp(sK522,sK523,sK523,sK524)
| ~ coll(sK525,sK522,sK524) ),
inference(resolution,[status(thm)],[c53,c113]) ).
cnf(d1,plain,
( eqangle(X1,X0,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c17]) ).
cnf(d2,plain,
( perp(X1,X0,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[d1,c74]) ).
cnf(d3,plain,
( ~ coll(sK525,sK522,sK524)
| perp(X1,X0,sK523,sK524)
| ~ para(X0,X1,sK522,sK523) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
coll(sK523,sK531,sK524),
inference(resolution,[status(thm)],[c121,c1]) ).
cnf(d5,plain,
coll(sK523,sK524,sK531),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
coll(sK524,sK523,sK531),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
( ~ coll(sK524,sK523,X0)
| coll(X0,sK531,sK524) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
coll(sK531,sK531,sK524),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
coll(sK522,sK531,sK526),
inference(resolution,[status(thm)],[c120,c1]) ).
cnf(d10,plain,
coll(sK522,sK526,sK531),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
( ~ coll(sK522,sK526,X0)
| coll(X0,sK531,sK522) ),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
coll(sK531,sK531,sK522),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( ~ coll(sK531,sK531,X0)
| coll(X0,sK522,sK531) ),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
coll(sK524,sK522,sK531),
inference(resolution,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
coll(sK524,sK531,sK522),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( ~ coll(sK524,sK531,X0)
| coll(X0,sK522,sK524) ),
inference(resolution,[status(thm)],[d15,c2]) ).
cnf(d17,plain,
( ~ coll(sK531,sK531,X0)
| coll(X0,sK524,sK531) ),
inference(resolution,[status(thm)],[d8,c2]) ).
cnf(d18,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d19,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d18,c38]) ).
cnf(d20,plain,
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[c40,c38]) ).
cnf(d21,plain,
( cyclic(sK529,X0,X1,sK530)
| ~ cong(sK525,sK529,sK525,X1)
| ~ cong(sK525,sK529,sK525,X0) ),
inference(resolution,[status(thm)],[c119,c12]) ).
cnf(d22,plain,
( cyclic(sK529,sK530,X0,sK530)
| ~ cong(sK525,sK529,sK525,X0) ),
inference(resolution,[status(thm)],[d21,c119]) ).
cnf(d23,plain,
cyclic(sK529,sK530,sK530,sK530),
inference(resolution,[status(thm)],[d22,c119]) ).
cnf(d24,plain,
para(sK530,sK529,sK530,sK529),
inference(resolution,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d24,d19]) ).
cnf(d26,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[d25,c66]) ).
cnf(d27,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[d27,c0]) ).
cnf(d29,plain,
coll(X0,sK524,sK531),
inference(resolution,[status(thm)],[d28,d17]) ).
cnf(d30,plain,
coll(sK524,X0,sK531),
inference(resolution,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
coll(sK524,sK531,X0),
inference(resolution,[status(thm)],[d30,c0]) ).
cnf(d32,plain,
coll(X0,sK522,sK524),
inference(resolution,[status(thm)],[d31,d16]) ).
cnf(d33,plain,
( perp(X1,X0,sK523,sK524)
| ~ para(X0,X1,sK522,sK523) ),
inference(resolution,[status(thm)],[d32,d3]) ).
cnf(d34,plain,
midp(sK528,sK526,sK522),
inference(resolution,[status(thm)],[c10,c116]) ).
cnf(d35,plain,
( ~ midp(sK528,X0,X1)
| para(sK526,X0,sK522,X1) ),
inference(resolution,[status(thm)],[c63,d34]) ).
cnf(d36,plain,
( ~ midp(X0,sK526,X1)
| para(X0,sK528,X1,sK522) ),
inference(resolution,[status(thm)],[c44,d34]) ).
cnf(d37,plain,
( para(X0,sK528,X2,X3)
| ~ para(X1,sK522,X2,X3)
| ~ midp(X0,sK526,X1) ),
inference(resolution,[status(thm)],[d36,c5]) ).
cnf(d38,plain,
( ~ midp(sK528,sK522,X1)
| ~ midp(X0,sK526,sK526)
| para(X0,sK528,sK522,X1) ),
inference(resolution,[status(thm)],[d37,d35]) ).
cnf(d39,plain,
( eqangle(X0,X2,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c40,c17]) ).
cnf(d40,plain,
( eqangle(X2,X1,X0,X2,X3,X1,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[d39,c18]) ).
cnf(d41,plain,
( ~ cyclic(X1,X0,X0,X0)
| ~ cyclic(X1,X0,X0,X2)
| ~ cyclic(X1,X0,X0,X1)
| cong(X1,X0,X1,X0)
| ~ cyclic(X0,X1,X0,X2) ),
inference(resolution,[status(thm)],[d40,c43]) ).
cnf(d42,plain,
( eqangle(X4,X5,X1,X0,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[d1,c18]) ).
cnf(d43,plain,
( cyclic(X2,X0,X1,X1)
| ~ coll(X1,X1,X0)
| ~ para(X0,X1,X1,X0) ),
inference(resolution,[status(thm)],[d42,c42]) ).
cnf(d44,plain,
( cyclic(X2,X0,X1,X1)
| ~ para(X0,X1,X1,X0) ),
inference(resolution,[status(thm)],[d28,d43]) ).
cnf(d45,plain,
para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[d25,c3]) ).
cnf(d46,plain,
cyclic(X0,X1,X2,X2),
inference(resolution,[status(thm)],[d45,d44]) ).
cnf(d47,plain,
cyclic(X0,X1,X2,X1),
inference(resolution,[status(thm)],[d46,c14]) ).
cnf(d48,plain,
( ~ cyclic(X1,X0,X1,X2)
| ~ cyclic(X0,X1,X1,X0)
| ~ cyclic(X0,X1,X1,X2)
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d47,d41]) ).
cnf(d49,plain,
cyclic(X0,X1,X2,X0),
inference(resolution,[status(thm)],[d47,c15]) ).
cnf(d50,plain,
cyclic(X0,X1,X0,X2),
inference(resolution,[status(thm)],[d49,c13]) ).
cnf(d51,plain,
( ~ cyclic(X0,X1,X1,X0)
| ~ cyclic(X0,X1,X1,X2)
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d50,d48]) ).
cnf(d52,plain,
cyclic(X0,X1,X1,X2),
inference(resolution,[status(thm)],[d47,c13]) ).
cnf(d53,plain,
( ~ cyclic(X0,X1,X1,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d49,d53]) ).
cnf(d55,plain,
( ~ coll(X2,X2,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[d28,c2]) ).
cnf(d56,plain,
coll(X0,X1,X2),
inference(resolution,[status(thm)],[d28,d55]) ).
cnf(d57,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d56,c67]) ).
cnf(d58,plain,
midp(X0,X1,X1),
inference(resolution,[status(thm)],[d57,d54]) ).
cnf(d59,plain,
( ~ midp(sK528,sK522,X1)
| para(X0,sK528,sK522,X1) ),
inference(resolution,[status(thm)],[d58,d38]) ).
cnf(d60,plain,
( ~ midp(X0,sK522,X1)
| para(X0,sK528,X1,sK526) ),
inference(resolution,[status(thm)],[c44,c116]) ).
cnf(d61,plain,
( para(X0,sK528,sK526,X1)
| ~ midp(X0,sK522,X1) ),
inference(resolution,[status(thm)],[d60,c3]) ).
cnf(d62,plain,
( ~ midp(X0,X2,sK526)
| midp(sK528,X2,X1)
| ~ coll(sK528,X2,X1)
| ~ midp(X0,sK522,X1) ),
inference(resolution,[status(thm)],[d61,c45]) ).
cnf(d63,plain,
( midp(sK528,X1,X2)
| ~ midp(X0,sK522,X2)
| ~ midp(X0,X1,sK526) ),
inference(resolution,[status(thm)],[d56,d62]) ).
cnf(d64,plain,
( midp(sK528,X1,sK522)
| ~ midp(X0,X1,sK526) ),
inference(resolution,[status(thm)],[d63,d58]) ).
cnf(d65,plain,
( ~ midp(X0,sK524,X1)
| para(X0,sK527,X1,sK523) ),
inference(resolution,[status(thm)],[c44,c115]) ).
cnf(d66,plain,
( para(X1,sK523,X0,sK527)
| ~ midp(X0,sK524,X1) ),
inference(resolution,[status(thm)],[d65,c4]) ).
cnf(d67,plain,
( ~ midp(X2,X0,X1)
| midp(X2,sK523,sK527)
| ~ para(X0,sK523,X1,sK527)
| ~ midp(X0,sK524,X1) ),
inference(resolution,[status(thm)],[d65,c64]) ).
cnf(d68,plain,
( ~ midp(X2,sK524,X1)
| ~ midp(X1,sK524,X2)
| midp(X0,sK523,sK527)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d67,d66]) ).
cnf(d69,plain,
( midp(X1,sK523,sK527)
| ~ midp(X0,sK524,X0)
| ~ midp(X0,sK524,X0) ),
inference(resolution,[status(thm)],[d68,d58]) ).
cnf(d70,plain,
midp(X0,sK523,sK527),
inference(resolution,[status(thm)],[d69,d58]) ).
cnf(d71,plain,
midp(sK527,sK523,sK524),
inference(resolution,[status(thm)],[c10,c115]) ).
cnf(d72,plain,
( ~ midp(X0,sK523,X1)
| para(X0,sK527,X1,sK524) ),
inference(resolution,[status(thm)],[c44,d71]) ).
cnf(d73,plain,
( para(X1,sK524,X0,sK527)
| ~ midp(X0,sK523,X1) ),
inference(resolution,[status(thm)],[d72,c4]) ).
cnf(d74,plain,
( ~ midp(X1,X2,X0)
| midp(sK524,X2,sK527)
| ~ coll(sK524,X2,sK527)
| ~ midp(X0,sK523,X1) ),
inference(resolution,[status(thm)],[d73,c45]) ).
cnf(d75,plain,
( midp(sK524,X1,sK527)
| ~ midp(X2,sK523,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d56,d74]) ).
cnf(d76,plain,
( midp(sK524,X0,sK527)
| ~ midp(X0,sK523,X1) ),
inference(resolution,[status(thm)],[d75,d58]) ).
cnf(d77,plain,
midp(sK524,X0,sK527),
inference(resolution,[status(thm)],[d76,d70]) ).
cnf(d78,plain,
( ~ midp(X0,sK528,X1)
| para(X0,sK529,X1,sK527) ),
inference(resolution,[status(thm)],[c44,c117]) ).
cnf(d79,plain,
( para(X0,sK529,sK527,X1)
| ~ midp(X0,sK528,X1) ),
inference(resolution,[status(thm)],[d78,c3]) ).
cnf(d80,plain,
( ~ midp(X0,X2,sK527)
| midp(sK529,X2,X1)
| ~ coll(sK529,X2,X1)
| ~ midp(X0,sK528,X1) ),
inference(resolution,[status(thm)],[d79,c45]) ).
cnf(d81,plain,
( midp(sK529,X1,X2)
| ~ midp(X0,sK528,X2)
| ~ midp(X0,X1,sK527) ),
inference(resolution,[status(thm)],[d56,d80]) ).
cnf(d82,plain,
( para(X1,sK526,X0,sK528)
| ~ midp(X0,sK522,X1) ),
inference(resolution,[status(thm)],[d60,c4]) ).
cnf(d83,plain,
( ~ midp(X2,X0,X1)
| midp(X2,sK526,sK528)
| ~ para(X0,sK526,X1,sK528)
| ~ midp(X0,sK522,X1) ),
inference(resolution,[status(thm)],[d60,c64]) ).
cnf(d84,plain,
( ~ midp(X2,sK522,X1)
| ~ midp(X1,sK522,X2)
| midp(X0,sK526,sK528)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d83,d82]) ).
cnf(d85,plain,
( midp(X1,sK526,sK528)
| ~ midp(X0,sK522,X0)
| ~ midp(X0,sK522,X0) ),
inference(resolution,[status(thm)],[d84,d58]) ).
cnf(d86,plain,
midp(X0,sK526,sK528),
inference(resolution,[status(thm)],[d85,d58]) ).
cnf(d87,plain,
midp(X0,sK528,sK526),
inference(resolution,[status(thm)],[d86,c10]) ).
cnf(d88,plain,
( midp(sK529,X1,sK526)
| ~ midp(X0,X1,sK527) ),
inference(resolution,[status(thm)],[d87,d81]) ).
cnf(d89,plain,
midp(sK529,X0,sK526),
inference(resolution,[status(thm)],[d88,d77]) ).
cnf(d90,plain,
midp(sK528,X0,sK522),
inference(resolution,[status(thm)],[d89,d64]) ).
cnf(d91,plain,
midp(sK528,sK522,X0),
inference(resolution,[status(thm)],[d90,c10]) ).
cnf(d92,plain,
para(X0,sK528,sK522,X1),
inference(resolution,[status(thm)],[d91,d59]) ).
cnf(d93,plain,
perp(sK528,X0,sK523,sK524),
inference(resolution,[status(thm)],[d92,d33]) ).
cnf(d94,plain,
$false,
inference(resolution,[status(thm)],[d93,c122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO583+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 13:42:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 103.91/13.60 % SZS status Theorem for theBenchmark.p
% 103.91/13.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------