%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO600+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 : n017.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 60.63s 13.75s
% Output : CNFRefutation 60.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 82 ( 22 ~; 20 |; 28 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 179 ( 7 sgn 93 !; 1 ?)
% 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(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(ruleX11,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ) ).
fof(exemplo6GDDFULL618062,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( circle(X9,X1,X10,X22)
& circle(X5,X4,X10,X21)
& circle(X9,X1,X19,X20)
& midp(X9,X1,X4)
& circle(X6,X4,X8,X18)
& coll(X8,X0,X1)
& circle(X6,X4,X7,X17)
& circle(X5,X4,X7,X16)
& circle(X6,X4,X14,X15)
& circle(X5,X4,X12,X13)
& midp(X6,X0,X4)
& midp(X5,X2,X4)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> coll(X8,X7,X10) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( circle(X9,X1,X10,X22)
& circle(X5,X4,X10,X21)
& circle(X9,X1,X19,X20)
& midp(X9,X1,X4)
& circle(X6,X4,X8,X18)
& coll(X8,X0,X1)
& circle(X6,X4,X7,X17)
& circle(X5,X4,X7,X16)
& circle(X6,X4,X14,X15)
& circle(X5,X4,X12,X13)
& midp(X6,X0,X4)
& midp(X5,X2,X4)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> coll(X8,X7,X10) ),
inference(negate_conjecture,[status(cth)],[exemplo6GDDFULL618062]) ).
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(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(c99,plain,
( perp(sK479(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[ruleX11]) ).
cnf(c118,plain,
circle(sK528,sK526,sK536,sK537),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c127,plain,
~ coll(sK530,sK529,sK532),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c39,c18]) ).
cnf(d1,plain,
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d0,c38]) ).
cnf(d2,plain,
( perp(X1,X0,sK479(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c99,c7]) ).
cnf(d3,plain,
( ~ perp(X4,X5,sK479(X1,X2,X3,X0),X1)
| para(X4,X5,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c99,c8]) ).
cnf(d4,plain,
( ~ circle(X1,X0,X2,X3)
| ~ circle(X1,X0,X2,X3)
| para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
para(sK526,sK528,sK526,sK528),
inference(resolution,[status(thm)],[d4,c118]) ).
cnf(d6,plain,
para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[d5,d1]) ).
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,
$false,
inference(resolution,[status(thm)],[d11,c127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO600+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
% 0.18/0.43 % Computer : n017.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 25 13:39:19 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.63/13.75 % SZS status Theorem for theBenchmark.p
% 60.63/13.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------