%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO655+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 : n026.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 07:15:37 AM UTC 2026
% Result : Theorem 131.64s 31.84s
% Output : CNFRefutation 131.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 30
% Syntax : Number of formulae : 239 ( 124 unt; 0 def)
% Number of atoms : 418 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 296 ( 117 ~; 113 |; 35 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 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 : 398 ( 15 sgn 154 !; 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(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(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(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(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(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(ruleD54,axiom,
! [X0,X1,X2,X3] :
( ( para(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X3) )
=> eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ) ).
fof(ruleD55,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ) ).
fof(ruleD56,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,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(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(exemplo6GDDFULLmoreE0229,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> para(X5,X6,X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> para(X5,X6,X0,X2) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULLmoreE0229]) ).
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(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(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD9]) ).
cnf(c9,plain,
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD10]) ).
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(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(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(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(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(c54,plain,
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleD54]) ).
cnf(c55,plain,
( cong(X3,X1,X3,X2)
| ~ perp(X3,X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(clausification,[status(esa)],[ruleD55]) ).
cnf(c56,plain,
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(clausification,[status(esa)],[ruleD56]) ).
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(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(sK529,sK523,sK522),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c114,plain,
perp(sK523,sK522,sK529,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c115,plain,
midp(sK530,sK523,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c116,plain,
perp(sK523,sK524,sK530,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
perp(sK522,sK524,sK531,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
coll(sK526,sK522,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
coll(sK523,sK526,sK527),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c123,plain,
perp(sK525,sK527,sK527,sK528),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c124,plain,
~ para(sK527,sK528,sK522,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
perp(sK523,sK522,sK525,sK529),
inference(resolution,[status(thm)],[c6,c114]) ).
cnf(d1,plain,
perp(sK525,sK529,sK523,sK522),
inference(resolution,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( ~ perp(X0,X1,sK523,sK522)
| para(X0,X1,sK525,sK529) ),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d3,plain,
para(sK525,sK529,sK525,sK529),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d5,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d4,c38]) ).
cnf(d6,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[d6,c66]) ).
cnf(d8,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( ~ coll(X2,X2,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[d9,c2]) ).
cnf(d11,plain,
coll(X0,X1,X2),
inference(resolution,[status(thm)],[d9,d10]) ).
cnf(d12,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d11,c67]) ).
cnf(d13,plain,
perp(sK525,sK527,sK528,sK527),
inference(resolution,[status(thm)],[c6,c123]) ).
cnf(d14,plain,
( ~ perp(X0,X1,sK525,sK527)
| para(X0,X1,sK528,sK527) ),
inference(resolution,[status(thm)],[c8,d13]) ).
cnf(d15,plain,
( ~ cong(X0,X2,X0,X2)
| perp(X0,X0,X2,X1)
| ~ midp(X0,X1,X1) ),
inference(resolution,[status(thm)],[c68,c56]) ).
cnf(d16,plain,
( cong(sK525,sK523,sK525,sK522)
| ~ midp(sK529,sK523,sK522) ),
inference(resolution,[status(thm)],[c55,d1]) ).
cnf(d17,plain,
cong(sK525,sK523,sK525,sK522),
inference(resolution,[status(thm)],[c113,d16]) ).
cnf(d18,plain,
cong(sK525,sK523,sK522,sK525),
inference(resolution,[status(thm)],[d17,c22]) ).
cnf(d19,plain,
cong(sK522,sK525,sK525,sK523),
inference(resolution,[status(thm)],[d18,c23]) ).
cnf(d20,plain,
( ~ cong(X0,X1,sK525,sK523)
| cong(X0,X1,sK525,sK522) ),
inference(resolution,[status(thm)],[d17,c24]) ).
cnf(d21,plain,
cong(sK522,sK525,sK525,sK522),
inference(resolution,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
cong(sK522,sK525,sK522,sK525),
inference(resolution,[status(thm)],[d21,c22]) ).
cnf(d23,plain,
( ~ midp(sK522,X0,X0)
| perp(sK522,sK522,sK525,X0) ),
inference(resolution,[status(thm)],[d22,d15]) ).
cnf(d24,plain,
( para(sK522,sK522,sK528,sK527)
| ~ midp(sK522,sK527,sK527) ),
inference(resolution,[status(thm)],[d23,d14]) ).
cnf(d25,plain,
( para(sK528,sK527,sK522,sK522)
| ~ midp(sK522,sK527,sK527) ),
inference(resolution,[status(thm)],[d24,c4]) ).
cnf(d26,plain,
( midp(sK522,sK525,sK525)
| ~ coll(sK522,sK525,sK525) ),
inference(resolution,[status(thm)],[d22,c67]) ).
cnf(d27,plain,
( ~ coll(sK523,sK526,X0)
| coll(X0,sK527,sK523) ),
inference(resolution,[status(thm)],[c2,c121]) ).
cnf(d28,plain,
coll(sK526,sK524,sK522),
inference(resolution,[status(thm)],[c119,c0]) ).
cnf(d29,plain,
coll(sK524,sK526,sK522),
inference(resolution,[status(thm)],[c1,d28]) ).
cnf(d30,plain,
coll(sK524,sK522,sK526),
inference(resolution,[status(thm)],[d29,c0]) ).
cnf(d31,plain,
( ~ coll(sK524,sK522,X0)
| coll(X0,sK526,sK524) ),
inference(resolution,[status(thm)],[d30,c2]) ).
cnf(d32,plain,
coll(sK526,sK526,sK524),
inference(resolution,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
coll(sK523,sK527,sK526),
inference(resolution,[status(thm)],[c121,c0]) ).
cnf(d34,plain,
( ~ coll(sK523,sK527,X0)
| coll(X0,sK526,sK523) ),
inference(resolution,[status(thm)],[c2,d33]) ).
cnf(d35,plain,
coll(sK526,sK526,sK523),
inference(resolution,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
( ~ coll(sK526,sK526,X0)
| coll(X0,sK523,sK526) ),
inference(resolution,[status(thm)],[d35,c2]) ).
cnf(d37,plain,
coll(sK524,sK523,sK526),
inference(resolution,[status(thm)],[d36,d32]) ).
cnf(d38,plain,
coll(sK523,sK524,sK526),
inference(resolution,[status(thm)],[d37,c1]) ).
cnf(d39,plain,
coll(sK523,sK526,sK524),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
coll(sK524,sK527,sK523),
inference(resolution,[status(thm)],[d39,d27]) ).
cnf(d41,plain,
( ~ coll(sK524,sK527,X0)
| coll(X0,sK523,sK524) ),
inference(resolution,[status(thm)],[d40,c2]) ).
cnf(d42,plain,
coll(sK527,sK527,sK523),
inference(resolution,[status(thm)],[d27,c121]) ).
cnf(d43,plain,
coll(sK527,sK523,sK527),
inference(resolution,[status(thm)],[d42,c0]) ).
cnf(d44,plain,
( ~ coll(sK527,sK523,X0)
| coll(X0,sK527,sK527) ),
inference(resolution,[status(thm)],[d43,c2]) ).
cnf(d45,plain,
coll(sK527,sK524,sK523),
inference(resolution,[status(thm)],[d40,c1]) ).
cnf(d46,plain,
coll(sK527,sK523,sK524),
inference(resolution,[status(thm)],[d45,c0]) ).
cnf(d47,plain,
coll(sK524,sK527,sK527),
inference(resolution,[status(thm)],[d46,d44]) ).
cnf(d48,plain,
coll(sK527,sK524,sK527),
inference(resolution,[status(thm)],[d47,c1]) ).
cnf(d49,plain,
coll(sK527,sK527,sK524),
inference(resolution,[status(thm)],[d48,c0]) ).
cnf(d50,plain,
( ~ coll(sK527,sK527,X0)
| coll(X0,sK524,sK527) ),
inference(resolution,[status(thm)],[d49,c2]) ).
cnf(d51,plain,
perp(sK527,sK528,sK525,sK527),
inference(resolution,[status(thm)],[c7,c123]) ).
cnf(d52,plain,
( ~ perp(X0,X1,sK527,sK528)
| para(X0,X1,sK525,sK527) ),
inference(resolution,[status(thm)],[c8,d51]) ).
cnf(d53,plain,
para(sK525,sK527,sK525,sK527),
inference(resolution,[status(thm)],[d52,c123]) ).
cnf(d54,plain,
coll(sK525,sK527,sK527),
inference(resolution,[status(thm)],[d53,c66]) ).
cnf(d55,plain,
coll(sK527,sK525,sK527),
inference(resolution,[status(thm)],[d54,c1]) ).
cnf(d56,plain,
coll(sK527,sK527,sK525),
inference(resolution,[status(thm)],[d55,c0]) ).
cnf(d57,plain,
coll(sK525,sK524,sK527),
inference(resolution,[status(thm)],[d56,d50]) ).
cnf(d58,plain,
coll(sK524,sK525,sK527),
inference(resolution,[status(thm)],[d57,c1]) ).
cnf(d59,plain,
coll(sK524,sK527,sK525),
inference(resolution,[status(thm)],[d58,c0]) ).
cnf(d60,plain,
coll(sK525,sK523,sK524),
inference(resolution,[status(thm)],[d59,d41]) ).
cnf(d61,plain,
coll(sK523,sK525,sK524),
inference(resolution,[status(thm)],[d60,c1]) ).
cnf(d62,plain,
coll(sK523,sK524,sK525),
inference(resolution,[status(thm)],[d61,c0]) ).
cnf(d63,plain,
coll(sK530,sK523,sK524),
inference(resolution,[status(thm)],[c69,c115]) ).
cnf(d64,plain,
coll(sK523,sK530,sK524),
inference(resolution,[status(thm)],[d63,c1]) ).
cnf(d65,plain,
coll(sK523,sK524,sK530),
inference(resolution,[status(thm)],[d64,c0]) ).
cnf(d66,plain,
( ~ coll(sK523,sK524,X0)
| coll(X0,sK530,sK523) ),
inference(resolution,[status(thm)],[d65,c2]) ).
cnf(d67,plain,
coll(sK525,sK530,sK523),
inference(resolution,[status(thm)],[d66,d62]) ).
cnf(d68,plain,
coll(sK530,sK525,sK523),
inference(resolution,[status(thm)],[d67,c1]) ).
cnf(d69,plain,
coll(sK530,sK523,sK525),
inference(resolution,[status(thm)],[d68,c0]) ).
cnf(d70,plain,
coll(sK522,sK526,sK524),
inference(resolution,[status(thm)],[c1,c119]) ).
cnf(d71,plain,
( ~ coll(sK522,sK526,X0)
| coll(X0,sK524,sK522) ),
inference(resolution,[status(thm)],[d70,c2]) ).
cnf(d72,plain,
( ~ coll(sK526,sK524,X0)
| coll(X0,sK522,sK526) ),
inference(resolution,[status(thm)],[c2,d28]) ).
cnf(d73,plain,
coll(sK526,sK524,sK526),
inference(resolution,[status(thm)],[d32,c0]) ).
cnf(d74,plain,
coll(sK526,sK522,sK526),
inference(resolution,[status(thm)],[d73,d72]) ).
cnf(d75,plain,
coll(sK526,sK526,sK522),
inference(resolution,[status(thm)],[d74,c0]) ).
cnf(d76,plain,
coll(sK522,sK523,sK526),
inference(resolution,[status(thm)],[d36,d75]) ).
cnf(d77,plain,
coll(sK522,sK526,sK523),
inference(resolution,[status(thm)],[d76,c0]) ).
cnf(d78,plain,
coll(sK523,sK524,sK522),
inference(resolution,[status(thm)],[d77,d71]) ).
cnf(d79,plain,
( ~ coll(sK523,sK524,X0)
| coll(X0,sK522,sK523) ),
inference(resolution,[status(thm)],[d78,c2]) ).
cnf(d80,plain,
coll(sK530,sK522,sK523),
inference(resolution,[status(thm)],[d65,d79]) ).
cnf(d81,plain,
coll(sK530,sK523,sK522),
inference(resolution,[status(thm)],[d80,c0]) ).
cnf(d82,plain,
( ~ coll(sK530,sK523,X0)
| coll(X0,sK522,sK530) ),
inference(resolution,[status(thm)],[d81,c2]) ).
cnf(d83,plain,
coll(sK525,sK522,sK530),
inference(resolution,[status(thm)],[d82,d69]) ).
cnf(d84,plain,
coll(sK525,sK530,sK522),
inference(resolution,[status(thm)],[d83,c0]) ).
cnf(d85,plain,
perp(sK530,sK525,sK523,sK524),
inference(resolution,[status(thm)],[c7,c116]) ).
cnf(d86,plain,
( ~ perp(X0,X1,sK523,sK524)
| para(X0,X1,sK530,sK525) ),
inference(resolution,[status(thm)],[c8,c116]) ).
cnf(d87,plain,
para(sK530,sK525,sK530,sK525),
inference(resolution,[status(thm)],[d86,d85]) ).
cnf(d88,plain,
coll(sK530,sK525,sK525),
inference(resolution,[status(thm)],[d87,c66]) ).
cnf(d89,plain,
coll(sK525,sK530,sK525),
inference(resolution,[status(thm)],[d88,c1]) ).
cnf(d90,plain,
( ~ coll(sK525,sK530,X0)
| coll(X0,sK525,sK525) ),
inference(resolution,[status(thm)],[d89,c2]) ).
cnf(d91,plain,
coll(sK522,sK525,sK525),
inference(resolution,[status(thm)],[d90,d84]) ).
cnf(d92,plain,
midp(sK522,sK525,sK525),
inference(resolution,[status(thm)],[d91,d26]) ).
cnf(d93,plain,
( ~ midp(X0,sK525,sK525)
| midp(X0,sK527,sK527)
| ~ para(sK525,sK527,sK525,sK527) ),
inference(resolution,[status(thm)],[d53,c64]) ).
cnf(d94,plain,
( midp(X0,sK527,sK527)
| ~ midp(X0,sK525,sK525) ),
inference(resolution,[status(thm)],[d53,d93]) ).
cnf(d95,plain,
midp(sK522,sK527,sK527),
inference(resolution,[status(thm)],[d94,d92]) ).
cnf(d96,plain,
para(sK528,sK527,sK522,sK522),
inference(resolution,[status(thm)],[d95,d25]) ).
cnf(d97,plain,
( eqangle(X3,X0,X2,X3,X2,X3,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c54,c17]) ).
cnf(d98,plain,
( ~ cyclic(X0,X2,X2,X1)
| ~ cyclic(X0,X2,X2,X2)
| ~ cyclic(X0,X2,X2,X2)
| cong(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X2)
| ~ para(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[d97,c43]) ).
cnf(d99,plain,
( cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d4,c42]) ).
cnf(d100,plain,
( cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[d6,d99]) ).
cnf(d101,plain,
cyclic(X0,X1,X2,X2),
inference(resolution,[status(thm)],[d9,d100]) ).
cnf(d102,plain,
cyclic(X0,X1,X2,X1),
inference(resolution,[status(thm)],[d101,c14]) ).
cnf(d103,plain,
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X0,X2,X2,X1)
| cong(X0,X2,X2,X1)
| ~ para(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[d102,d98]) ).
cnf(d104,plain,
cyclic(X0,X1,X1,X2),
inference(resolution,[status(thm)],[d102,c13]) ).
cnf(d105,plain,
( ~ cyclic(X0,X1,X2,X2)
| cong(X0,X2,X2,X1)
| ~ para(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[d104,d103]) ).
cnf(d106,plain,
( cong(X0,X2,X2,X1)
| ~ para(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[d101,d105]) ).
cnf(d107,plain,
cong(sK528,sK522,sK522,sK527),
inference(resolution,[status(thm)],[d106,d96]) ).
cnf(d108,plain,
cong(sK522,sK527,sK528,sK522),
inference(resolution,[status(thm)],[d107,c23]) ).
cnf(d109,plain,
cong(sK522,sK527,sK522,sK528),
inference(resolution,[status(thm)],[d108,c22]) ).
cnf(d110,plain,
midp(sK522,sK527,sK528),
inference(resolution,[status(thm)],[d109,d12]) ).
cnf(d111,plain,
perp(sK531,sK525,sK522,sK524),
inference(resolution,[status(thm)],[c7,c118]) ).
cnf(d112,plain,
perp(sK531,sK525,sK524,sK522),
inference(resolution,[status(thm)],[d111,c6]) ).
cnf(d113,plain,
( perp(X0,X1,sK524,sK522)
| ~ para(X0,X1,sK531,sK525) ),
inference(resolution,[status(thm)],[c9,d112]) ).
cnf(d114,plain,
( ~ perp(X0,X1,sK522,sK524)
| para(X0,X1,sK531,sK525) ),
inference(resolution,[status(thm)],[c8,c118]) ).
cnf(d115,plain,
cong(sK525,sK522,sK525,sK523),
inference(resolution,[status(thm)],[d17,c23]) ).
cnf(d116,plain,
cong(sK525,sK522,sK525,sK522),
inference(resolution,[status(thm)],[d20,d115]) ).
cnf(d117,plain,
( ~ midp(sK525,X0,X0)
| perp(sK525,sK525,sK522,X0) ),
inference(resolution,[status(thm)],[d116,d15]) ).
cnf(d118,plain,
( para(sK525,sK525,sK531,sK525)
| ~ midp(sK525,sK524,sK524) ),
inference(resolution,[status(thm)],[d117,d114]) ).
cnf(d119,plain,
perp(sK522,sK524,sK525,sK531),
inference(resolution,[status(thm)],[c6,c118]) ).
cnf(d120,plain,
perp(sK525,sK531,sK522,sK524),
inference(resolution,[status(thm)],[c7,d119]) ).
cnf(d121,plain,
( ~ perp(X0,X1,sK525,sK531)
| para(X0,X1,sK522,sK524) ),
inference(resolution,[status(thm)],[c8,d120]) ).
cnf(d122,plain,
para(sK522,sK524,sK522,sK524),
inference(resolution,[status(thm)],[d121,d119]) ).
cnf(d123,plain,
( ~ midp(X0,sK522,sK522)
| midp(X0,sK524,sK524)
| ~ para(sK522,sK524,sK522,sK524) ),
inference(resolution,[status(thm)],[d122,c64]) ).
cnf(d124,plain,
( midp(X0,sK524,sK524)
| ~ midp(X0,sK522,sK522) ),
inference(resolution,[status(thm)],[d122,d123]) ).
cnf(d125,plain,
( midp(sK525,sK522,sK522)
| ~ coll(sK525,sK522,sK522) ),
inference(resolution,[status(thm)],[d116,c67]) ).
cnf(d126,plain,
coll(sK526,sK523,sK527),
inference(resolution,[status(thm)],[c1,c121]) ).
cnf(d127,plain,
( ~ coll(sK526,sK523,X0)
| coll(X0,sK527,sK526) ),
inference(resolution,[status(thm)],[d126,c2]) ).
cnf(d128,plain,
coll(sK526,sK522,sK523),
inference(resolution,[status(thm)],[d77,c1]) ).
cnf(d129,plain,
coll(sK526,sK523,sK522),
inference(resolution,[status(thm)],[d128,c0]) ).
cnf(d130,plain,
coll(sK522,sK527,sK526),
inference(resolution,[status(thm)],[d129,d127]) ).
cnf(d131,plain,
coll(sK522,sK526,sK527),
inference(resolution,[status(thm)],[d130,c0]) ).
cnf(d132,plain,
coll(sK522,sK522,sK526),
inference(resolution,[status(thm)],[d72,d28]) ).
cnf(d133,plain,
coll(sK522,sK526,sK522),
inference(resolution,[status(thm)],[d132,c0]) ).
cnf(d134,plain,
( ~ coll(sK522,sK526,X0)
| coll(X0,sK522,sK522) ),
inference(resolution,[status(thm)],[d133,c2]) ).
cnf(d135,plain,
coll(sK527,sK522,sK522),
inference(resolution,[status(thm)],[d134,d131]) ).
cnf(d136,plain,
coll(sK522,sK527,sK522),
inference(resolution,[status(thm)],[d135,c1]) ).
cnf(d137,plain,
( ~ coll(sK522,sK527,X0)
| coll(X0,sK522,sK522) ),
inference(resolution,[status(thm)],[d136,c2]) ).
cnf(d138,plain,
coll(sK523,sK522,sK526),
inference(resolution,[status(thm)],[d76,c1]) ).
cnf(d139,plain,
coll(sK523,sK526,sK522),
inference(resolution,[status(thm)],[d138,c0]) ).
cnf(d140,plain,
coll(sK522,sK527,sK523),
inference(resolution,[status(thm)],[d139,d27]) ).
cnf(d141,plain,
coll(sK527,sK522,sK523),
inference(resolution,[status(thm)],[d140,c1]) ).
cnf(d142,plain,
coll(sK527,sK523,sK522),
inference(resolution,[status(thm)],[d141,c0]) ).
cnf(d143,plain,
coll(sK522,sK527,sK527),
inference(resolution,[status(thm)],[d142,d44]) ).
cnf(d144,plain,
coll(sK527,sK522,sK527),
inference(resolution,[status(thm)],[d143,c1]) ).
cnf(d145,plain,
coll(sK527,sK527,sK522),
inference(resolution,[status(thm)],[d144,c0]) ).
cnf(d146,plain,
( ~ coll(sK527,sK527,X0)
| coll(X0,sK522,sK527) ),
inference(resolution,[status(thm)],[d145,c2]) ).
cnf(d147,plain,
coll(sK525,sK522,sK527),
inference(resolution,[status(thm)],[d56,d146]) ).
cnf(d148,plain,
coll(sK522,sK525,sK527),
inference(resolution,[status(thm)],[d147,c1]) ).
cnf(d149,plain,
coll(sK522,sK527,sK525),
inference(resolution,[status(thm)],[d148,c0]) ).
cnf(d150,plain,
coll(sK525,sK522,sK522),
inference(resolution,[status(thm)],[d149,d137]) ).
cnf(d151,plain,
midp(sK525,sK522,sK522),
inference(resolution,[status(thm)],[d150,d125]) ).
cnf(d152,plain,
midp(sK525,sK524,sK524),
inference(resolution,[status(thm)],[d151,d124]) ).
cnf(d153,plain,
para(sK525,sK525,sK531,sK525),
inference(resolution,[status(thm)],[d152,d118]) ).
cnf(d154,plain,
perp(sK525,sK525,sK524,sK522),
inference(resolution,[status(thm)],[d153,d113]) ).
cnf(d155,plain,
perp(sK524,sK522,sK525,sK525),
inference(resolution,[status(thm)],[d154,c7]) ).
cnf(d156,plain,
( cong(sK524,sK525,sK524,sK525)
| ~ midp(sK522,sK525,sK525) ),
inference(resolution,[status(thm)],[d155,c55]) ).
cnf(d157,plain,
cong(sK524,sK525,sK524,sK525),
inference(resolution,[status(thm)],[d92,d156]) ).
cnf(d158,plain,
( midp(sK524,sK525,sK525)
| ~ coll(sK524,sK525,sK525) ),
inference(resolution,[status(thm)],[d157,c67]) ).
cnf(d159,plain,
( ~ coll(sK530,sK523,X0)
| coll(X0,sK524,sK530) ),
inference(resolution,[status(thm)],[d63,c2]) ).
cnf(d160,plain,
coll(sK525,sK524,sK530),
inference(resolution,[status(thm)],[d69,d159]) ).
cnf(d161,plain,
coll(sK525,sK530,sK524),
inference(resolution,[status(thm)],[d160,c0]) ).
cnf(d162,plain,
coll(sK524,sK525,sK525),
inference(resolution,[status(thm)],[d90,d161]) ).
cnf(d163,plain,
midp(sK524,sK525,sK525),
inference(resolution,[status(thm)],[d162,d158]) ).
cnf(d164,plain,
midp(sK524,sK527,sK527),
inference(resolution,[status(thm)],[d94,d163]) ).
cnf(d165,plain,
( para(X0,X3,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c44,c3]) ).
cnf(d166,plain,
( para(X2,X4,X3,X0)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[d165,c4]) ).
cnf(d167,plain,
( ~ midp(sK524,X0,sK527)
| ~ midp(sK522,X0,sK528) ),
inference(resolution,[status(thm)],[d166,c124]) ).
cnf(d168,plain,
~ midp(sK522,sK527,sK528),
inference(resolution,[status(thm)],[d167,d164]) ).
cnf(d169,plain,
$false,
inference(resolution,[status(thm)],[d168,d110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO655+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 13:49:26 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 131.64/31.84 % SZS status Theorem for theBenchmark.p
% 131.64/31.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------