%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO569+1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ulFZIuSm1z true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:34:56 PM UTC 2025
% Result : Theorem 172.17s 25.60s
% Output : Refutation 172.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 192 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 887 ( 61 ~; 60 |; 18 &; 732 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 8 con; 0-8 aty)
% Number of variables : 264 ( 0 ^; 264 !; 0 ?; 264 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__27_type,type,
sk__27: $i ).
thf(circle_type,type,
circle: $i > $i > $i > $i > $o ).
thf(eqangle_type,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(coll_type,type,
coll: $i > $i > $i > $o ).
thf(cyclic_type,type,
cyclic: $i > $i > $i > $i > $o ).
thf(para_type,type,
para: $i > $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(exemplo6GDDFULL214031,conjecture,
! [A: $i,B: $i,C: $i,O: $i,C1: $i,B1: $i,P: $i,Q: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( midp @ C1 @ B @ A )
& ( midp @ B1 @ C @ A )
& ( coll @ P @ O @ C1 )
& ( coll @ P @ A @ C )
& ( coll @ Q @ O @ B1 )
& ( coll @ Q @ A @ B ) )
=> ( cyclic @ Q @ B @ C @ P ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,O: $i,C1: $i,B1: $i,P: $i,Q: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( midp @ C1 @ B @ A )
& ( midp @ B1 @ C @ A )
& ( coll @ P @ O @ C1 )
& ( coll @ P @ A @ C )
& ( coll @ Q @ O @ B1 )
& ( coll @ Q @ A @ B ) )
=> ( cyclic @ Q @ B @ C @ P ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214031]) ).
thf(zip_derived_cl101,plain,
~ ( cyclic @ sk__27 @ sk__21 @ sk__22 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD40,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( para @ A @ B @ C @ D )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD40]) ).
thf(ruleD21,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD21]) ).
thf(zip_derived_cl1210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X5 @ X4 @ X3 @ X2 )
| ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).
thf(ruleD42b,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ( coll @ P @ Q @ B ) )
=> ( cyclic @ A @ B @ P @ Q ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( coll @ X2 @ X3 @ X1 )
| ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD42b]) ).
thf(zip_derived_cl4686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( para @ X2 @ X0 @ X2 @ X0 )
| ~ ( coll @ X2 @ X1 @ X0 )
| ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1210,zip_derived_cl34]) ).
thf(zip_derived_cl1210_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X5 @ X4 @ X3 @ X2 )
| ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).
thf(ruleD42a,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ~ ( coll @ P @ Q @ A ) )
=> ( cyclic @ A @ B @ P @ Q ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ( coll @ X2 @ X3 @ X0 )
| ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD42a]) ).
thf(zip_derived_cl4685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( para @ X2 @ X0 @ X2 @ X0 )
| ( coll @ X2 @ X1 @ X0 )
| ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1210,zip_derived_cl33]) ).
thf(zip_derived_cl62741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cyclic @ X0 @ X0 @ X2 @ X1 )
| ~ ( para @ X2 @ X0 @ X2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4686,zip_derived_cl4685]) ).
thf(ruleD53,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ O @ A @ C ) )
=> ( perp @ A @ B @ B @ C ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( circle @ X3 @ X0 @ X1 @ X2 )
| ~ ( coll @ X3 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD53]) ).
thf(zip_derived_cl104,plain,
circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1458,plain,
( ~ ( coll @ sk__23 @ sk__20 @ sk__22 )
| ( perp @ sk__20 @ sk__21 @ sk__21 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl104]) ).
thf(ruleD69,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD69]) ).
thf(zip_derived_cl105,plain,
midp @ sk__24 @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl769,plain,
coll @ sk__24 @ sk__21 @ sk__20,
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl105]) ).
thf(ruleD3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( coll @ A @ B @ C )
& ( coll @ A @ B @ D ) )
=> ( coll @ C @ D @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl805,plain,
! [X0: $i] :
( ( coll @ sk__20 @ X0 @ sk__24 )
| ~ ( coll @ sk__24 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl2]) ).
thf(zip_derived_cl769_002,plain,
coll @ sk__24 @ sk__21 @ sk__20,
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl105]) ).
thf(zip_derived_cl1000,plain,
coll @ sk__20 @ sk__20 @ sk__24,
inference('sup+',[status(thm)],[zip_derived_cl805,zip_derived_cl769]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X0 @ X2 )
| ~ ( coll @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl1025,plain,
coll @ sk__24 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1000,zip_derived_cl791]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl1090,plain,
! [X0: $i] :
( ( coll @ sk__20 @ X0 @ sk__24 )
| ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1025,zip_derived_cl2]) ).
thf(zip_derived_cl107,plain,
coll @ sk__26 @ sk__23 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl785,plain,
! [X0: $i] :
( ( coll @ sk__24 @ X0 @ sk__26 )
| ~ ( coll @ sk__26 @ sk__23 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl107_006,plain,
coll @ sk__26 @ sk__23 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl910,plain,
coll @ sk__24 @ sk__24 @ sk__26,
inference('sup+',[status(thm)],[zip_derived_cl785,zip_derived_cl107]) ).
thf(zip_derived_cl2347,plain,
coll @ sk__20 @ sk__26 @ sk__24,
inference('sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl910]) ).
thf(ruleD2,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl2365,plain,
coll @ sk__26 @ sk__20 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl2347,zip_derived_cl1]) ).
thf(ruleD1,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl2390,plain,
coll @ sk__26 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl2365,zip_derived_cl0]) ).
thf(zip_derived_cl107_007,plain,
coll @ sk__26 @ sk__23 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl761,plain,
coll @ sk__26 @ sk__24 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl0]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl786,plain,
! [X0: $i] :
( ( coll @ sk__23 @ X0 @ sk__26 )
| ~ ( coll @ sk__26 @ sk__24 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl2]) ).
thf(zip_derived_cl2442,plain,
coll @ sk__23 @ sk__20 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl2390,zip_derived_cl786]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl2504,plain,
coll @ sk__23 @ sk__26 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl2442,zip_derived_cl0]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl2566,plain,
coll @ sk__26 @ sk__23 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl2504,zip_derived_cl1]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl2660,plain,
coll @ sk__26 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl2566,zip_derived_cl0]) ).
thf(zip_derived_cl108,plain,
coll @ sk__26 @ sk__20 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl784,plain,
! [X0: $i] :
( ( coll @ sk__22 @ X0 @ sk__26 )
| ~ ( coll @ sk__26 @ sk__20 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl2]) ).
thf(zip_derived_cl2791,plain,
coll @ sk__22 @ sk__23 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl2660,zip_derived_cl784]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl3154,plain,
coll @ sk__22 @ sk__26 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl2791,zip_derived_cl0]) ).
thf(zip_derived_cl108_015,plain,
coll @ sk__26 @ sk__20 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl773,plain,
coll @ sk__26 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl0]) ).
thf(zip_derived_cl1_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl813,plain,
coll @ sk__22 @ sk__26 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl773,zip_derived_cl1]) ).
thf(zip_derived_cl2_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl851,plain,
! [X0: $i] :
( ( coll @ sk__20 @ X0 @ sk__22 )
| ~ ( coll @ sk__22 @ sk__26 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl2]) ).
thf(zip_derived_cl3422,plain,
coll @ sk__20 @ sk__23 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl3154,zip_derived_cl851]) ).
thf(zip_derived_cl1_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl3841,plain,
coll @ sk__23 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl3422,zip_derived_cl1]) ).
thf(zip_derived_cl7001,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl3841]) ).
thf(ruleD9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( perp @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD9]) ).
thf(zip_derived_cl7002,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__21 @ sk__22 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7001,zip_derived_cl8]) ).
thf(zip_derived_cl7001_020,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl3841]) ).
thf(ruleD8,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD8]) ).
thf(zip_derived_cl7004,plain,
perp @ sk__21 @ sk__22 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl7001,zip_derived_cl7]) ).
thf(zip_derived_cl112764,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup+',[status(thm)],[zip_derived_cl7002,zip_derived_cl7004]) ).
thf(zip_derived_cl31_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD40]) ).
thf(ruleD19,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
=> ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X2 @ X3 @ X0 @ X1 @ X6 @ X7 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD19]) ).
thf(zip_derived_cl1208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X5 @ X4 @ X3 @ X2 )
| ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).
thf(ruleD39,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
=> ( para @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD39]) ).
thf(zip_derived_cl4585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( para @ X3 @ X2 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1208,zip_derived_cl30]) ).
thf(zip_derived_cl114675,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl112764,zip_derived_cl4585]) ).
thf(zip_derived_cl114730,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl62741,zip_derived_cl114675]) ).
thf(ruleD17,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( cyclic @ A @ B @ C @ D )
& ( cyclic @ A @ B @ C @ E ) )
=> ( cyclic @ B @ C @ D @ E ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
| ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD17]) ).
thf(zip_derived_cl117200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X3 )
| ~ ( cyclic @ X2 @ X2 @ X1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl114730,zip_derived_cl16]) ).
thf(zip_derived_cl114730_022,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl62741,zip_derived_cl114675]) ).
thf(zip_derived_cl117271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl117200,zip_derived_cl114730]) ).
thf(zip_derived_cl117915,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl117271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO569+1 : TPTP v9.2.0. Released v7.5.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ulFZIuSm1z true
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 17:36:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 172.17/25.60 % Solved by fo/fo3_bce.sh.
% 172.17/25.60 % BCE start: 109
% 172.17/25.60 % BCE eliminated: 1
% 172.17/25.60 % PE start: 108
% 172.17/25.60 logic: eq
% 172.17/25.60 % PE eliminated: 0
% 172.17/25.60 % done 22542 iterations in 24.734s
% 172.17/25.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 172.17/25.60 % SZS output start Refutation
% See solution above
% 172.17/25.60
% 172.17/25.60
% 172.17/25.60 % Terminating...
% 172.66/25.71 % Runner terminated.
% 172.66/25.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------