%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO554+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 : n007.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 07:15:22 AM UTC 2026
% Result : Theorem 29.14s 4.13s
% Output : CNFRefutation 29.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 70 ( 37 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 80 ( 25 ~; 23 |; 20 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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 : 164 ( 13 sgn 79 !; 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(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(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(ruleD66,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ) ).
fof(exemplo6GDDFULL012014,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X1,X2,X6,X15)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X5,X13)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X12)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X11)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X7,X8)
& perp(X2,X0,X2,X1) )
=> coll(X3,X5,X6) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X1,X2,X6,X15)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X5,X13)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X12)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X11)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X7,X8)
& perp(X2,X0,X2,X1) )
=> coll(X3,X5,X6) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULL012014]) ).
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(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(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(c66,plain,
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(clausification,[status(esa)],[ruleD66]) ).
cnf(c113,plain,
perp(sK524,sK522,sK524,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c117,plain,
coll(sK524,sK525,sK526),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
coll(sK523,sK526,sK527),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c123,plain,
~ coll(sK525,sK527,sK528),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
coll(sK524,sK526,sK525),
inference(resolution,[status(thm)],[c0,c117]) ).
cnf(d1,plain,
( ~ coll(sK524,sK526,X0)
| coll(X0,sK525,sK524) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
coll(sK523,sK527,sK526),
inference(resolution,[status(thm)],[c119,c0]) ).
cnf(d3,plain,
( ~ coll(sK523,sK527,X0)
| coll(X0,sK526,sK523) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
coll(sK526,sK526,sK523),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
coll(sK526,sK523,sK526),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
coll(sK526,sK523,sK527),
inference(resolution,[status(thm)],[c1,c119]) ).
cnf(d7,plain,
( ~ coll(sK526,sK523,X0)
| coll(X0,sK527,sK526) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
coll(sK526,sK527,sK526),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
coll(sK526,sK526,sK527),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( ~ coll(sK524,sK525,X0)
| coll(X0,sK526,sK524) ),
inference(resolution,[status(thm)],[c2,c117]) ).
cnf(d11,plain,
coll(sK526,sK526,sK524),
inference(resolution,[status(thm)],[d10,c117]) ).
cnf(d12,plain,
( ~ coll(sK526,sK526,X0)
| coll(X0,sK524,sK526) ),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
coll(sK527,sK524,sK526),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
coll(sK524,sK527,sK526),
inference(resolution,[status(thm)],[d13,c1]) ).
cnf(d15,plain,
coll(sK524,sK526,sK527),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
coll(sK527,sK525,sK524),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
coll(sK527,sK524,sK525),
inference(resolution,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
( ~ coll(sK527,sK524,X0)
| coll(X0,sK525,sK527) ),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
coll(sK527,sK526,sK524),
inference(resolution,[status(thm)],[d13,c0]) ).
cnf(d20,plain,
( ~ coll(sK527,sK526,X0)
| coll(X0,sK524,sK527) ),
inference(resolution,[status(thm)],[d19,c2]) ).
cnf(d21,plain,
( ~ coll(sK526,sK526,X0)
| coll(X0,sK527,sK526) ),
inference(resolution,[status(thm)],[d9,c2]) ).
cnf(d22,plain,
perp(sK524,sK523,sK524,sK522),
inference(resolution,[status(thm)],[c113,c7]) ).
cnf(d23,plain,
perp(sK524,sK523,sK522,sK524),
inference(resolution,[status(thm)],[d22,c6]) ).
cnf(d24,plain,
perp(sK522,sK524,sK524,sK523),
inference(resolution,[status(thm)],[d23,c7]) ).
cnf(d25,plain,
( ~ perp(X0,X1,sK524,sK523)
| para(X0,X1,sK522,sK524) ),
inference(resolution,[status(thm)],[d23,c8]) ).
cnf(d26,plain,
para(sK522,sK524,sK522,sK524),
inference(resolution,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d28,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d27,c38]) ).
cnf(d29,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[d29,c66]) ).
cnf(d31,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[d30,c1]) ).
cnf(d32,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
coll(X0,sK527,sK526),
inference(resolution,[status(thm)],[d32,d21]) ).
cnf(d34,plain,
coll(sK527,X0,sK526),
inference(resolution,[status(thm)],[d33,c1]) ).
cnf(d35,plain,
coll(sK527,sK526,X0),
inference(resolution,[status(thm)],[d34,c0]) ).
cnf(d36,plain,
coll(X0,sK524,sK527),
inference(resolution,[status(thm)],[d35,d20]) ).
cnf(d37,plain,
coll(X0,sK527,sK524),
inference(resolution,[status(thm)],[d36,c0]) ).
cnf(d38,plain,
coll(sK527,X0,sK524),
inference(resolution,[status(thm)],[d37,c1]) ).
cnf(d39,plain,
coll(sK527,sK524,X0),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
coll(X0,sK525,sK527),
inference(resolution,[status(thm)],[d39,d18]) ).
cnf(d41,plain,
coll(sK525,X0,sK527),
inference(resolution,[status(thm)],[d40,c1]) ).
cnf(d42,plain,
coll(sK525,sK527,X0),
inference(resolution,[status(thm)],[d41,c0]) ).
cnf(d43,plain,
$false,
inference(resolution,[status(thm)],[d42,c123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO554+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
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 13:39:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.14/4.13 % SZS status Theorem for theBenchmark.p
% 29.14/4.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------