%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO603+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 : n019.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 07:15:29 AM UTC 2026
% Result : Theorem 21.12s 11.68s
% Output : CNFRefutation 21.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 18 ~; 16 |; 10 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 134 ( 7 sgn 61 !; 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(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(exemplo6GDDFULL618065,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> coll(X0,X6,X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> coll(X0,X6,X3) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULL618065]) ).
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(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(c115,plain,
para(sK523,sK524,sK527,sK526),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
~ coll(sK522,sK528,sK525),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
para(sK527,sK526,sK523,sK524),
inference(resolution,[status(thm)],[c115,c4]) ).
cnf(d1,plain,
para(sK527,sK526,sK524,sK523),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
para(sK524,sK523,sK527,sK526),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( para(sK524,sK523,X0,X1)
| ~ para(sK527,sK526,X0,X1) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
para(sK524,sK523,sK524,sK523),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d6,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d5,c38]) ).
cnf(d7,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
coll(X0,X1,X1),
inference(resolution,[status(thm)],[d7,c66]) ).
cnf(d9,plain,
coll(X0,X1,X0),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
coll(X0,X0,X1),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
( ~ coll(X2,X2,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
coll(X0,X1,X2),
inference(resolution,[status(thm)],[d10,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,c118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO603+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
% 0.17/5.66 % Computer : n019.cluster.edu
% 0.17/5.66 % Model : x86_64 x86_64
% 0.17/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.66 % Memory : 8046.5625MB
% 0.17/5.66 % OS : Linux 6.8.0-71-generic
% 0.17/5.66 % CPULimit : 300
% 0.17/5.66 % WCLimit : 300
% 0.17/5.66 % DateTime : Fri Sep 25 13:44:41 UTC 2026
% 0.17/5.66 % CPUTime :
% 0.17/5.66 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.12/11.68 % SZS status Theorem for theBenchmark.p
% 21.12/11.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------