%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO547+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 : n020.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 07:15:21 AM UTC 2026
% Result : Theorem 15.62s 9.01s
% Output : CNFRefutation 15.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 34 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 48 ( 15 ~; 13 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 47 ( 0 sgn 28 !; 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(exemplo6GDDFULL012007,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X0,X1)
& perp(X7,X4,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X4,X1,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> coll(X5,X6,X7) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X0,X1)
& perp(X7,X4,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X4,X1,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> coll(X5,X6,X7) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULL012007]) ).
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(c116,plain,
coll(sK527,sK523,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
coll(sK528,sK522,sK524),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
coll(sK529,sK522,sK523),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
~ coll(sK527,sK528,sK529),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
coll(sK528,sK524,sK522),
inference(resolution,[status(thm)],[c118,c0]) ).
cnf(d1,plain,
coll(sK524,sK528,sK522),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
coll(sK524,sK522,sK528),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ coll(sK524,sK522,X0)
| coll(X0,sK528,sK524) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
coll(sK522,sK529,sK523),
inference(resolution,[status(thm)],[c1,c120]) ).
cnf(d5,plain,
coll(sK522,sK523,sK529),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ~ coll(sK522,sK523,X0)
| coll(X0,sK529,sK522) ),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
( ~ coll(sK527,sK523,X0)
| coll(X0,sK524,sK527) ),
inference(resolution,[status(thm)],[c2,c116]) ).
cnf(d8,plain,
coll(sK524,sK524,sK527),
inference(resolution,[status(thm)],[d7,c116]) ).
cnf(d9,plain,
coll(sK524,sK527,sK524),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
coll(sK527,sK524,sK523),
inference(resolution,[status(thm)],[c0,c116]) ).
cnf(d11,plain,
coll(sK524,sK527,sK523),
inference(resolution,[status(thm)],[c1,d10]) ).
cnf(d12,plain,
( ~ coll(sK524,sK527,X0)
| coll(X0,sK523,sK524) ),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
coll(sK524,sK523,sK524),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
coll(sK524,sK524,sK523),
inference(resolution,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
coll(sK522,sK528,sK524),
inference(resolution,[status(thm)],[c1,c118]) ).
cnf(d16,plain,
( ~ coll(sK522,sK528,X0)
| coll(X0,sK524,sK522) ),
inference(resolution,[status(thm)],[c2,d15]) ).
cnf(d17,plain,
coll(sK524,sK524,sK522),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( ~ coll(sK524,sK524,X0)
| coll(X0,sK522,sK524) ),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
coll(sK523,sK522,sK524),
inference(resolution,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
coll(sK522,sK523,sK524),
inference(resolution,[status(thm)],[d19,c1]) ).
cnf(d21,plain,
coll(sK524,sK529,sK522),
inference(resolution,[status(thm)],[d20,d6]) ).
cnf(d22,plain,
coll(sK524,sK522,sK529),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
coll(sK529,sK528,sK524),
inference(resolution,[status(thm)],[d22,d3]) ).
cnf(d24,plain,
coll(sK529,sK524,sK528),
inference(resolution,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
coll(sK524,sK523,sK527),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d26,plain,
( ~ coll(sK524,sK523,X0)
| coll(X0,sK527,sK524) ),
inference(resolution,[status(thm)],[d25,c2]) ).
cnf(d27,plain,
coll(sK529,sK523,sK522),
inference(resolution,[status(thm)],[c120,c0]) ).
cnf(d28,plain,
coll(sK523,sK529,sK522),
inference(resolution,[status(thm)],[c1,d27]) ).
cnf(d29,plain,
coll(sK523,sK522,sK529),
inference(resolution,[status(thm)],[d28,c0]) ).
cnf(d30,plain,
( ~ coll(sK523,sK522,X0)
| coll(X0,sK529,sK523) ),
inference(resolution,[status(thm)],[d29,c2]) ).
cnf(d31,plain,
coll(sK524,sK529,sK523),
inference(resolution,[status(thm)],[d19,d30]) ).
cnf(d32,plain,
coll(sK524,sK523,sK529),
inference(resolution,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
coll(sK529,sK527,sK524),
inference(resolution,[status(thm)],[d32,d26]) ).
cnf(d34,plain,
coll(sK529,sK524,sK527),
inference(resolution,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
( ~ coll(sK529,sK524,X0)
| coll(X0,sK527,sK529) ),
inference(resolution,[status(thm)],[d34,c2]) ).
cnf(d36,plain,
coll(sK528,sK527,sK529),
inference(resolution,[status(thm)],[d35,d24]) ).
cnf(d37,plain,
coll(sK527,sK528,sK529),
inference(resolution,[status(thm)],[d36,c1]) ).
cnf(d38,plain,
$false,
inference(resolution,[status(thm)],[c121,d37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n020.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Fri Sep 25 13:41:49 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.62/9.01 % SZS status Theorem for theBenchmark.p
% 15.62/9.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------