TSTP Solution File: GEO636+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO636+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZFlBSY8dbE true
% Computer : n012.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 : Wed Aug 30 23:59:32 EDT 2023
% Result : Theorem 14.61s 2.65s
% Output : Refutation 14.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 47
% Syntax : Number of formulae : 237 ( 97 unt; 14 typ; 0 def)
% Number of atoms : 405 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 1968 ( 126 ~; 124 |; 24 &;1660 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 8 con; 0-8 aty)
% Number of variables : 645 ( 0 ^; 645 !; 0 ?; 645 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(eqangle_type,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__21_type,type,
sk__21: $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__25_type,type,
sk__25: $i ).
thf(exemplo6GDDFULL8110999,conjecture,
! [A: $i,B: $i,C: $i,M: $i,N: $i,Q: $i,P: $i] :
( ( ( eqangle @ C @ A @ A @ N @ M @ A @ A @ B )
& ( perp @ Q @ M @ A @ B )
& ( coll @ Q @ A @ B )
& ( perp @ P @ M @ A @ C )
& ( coll @ P @ A @ C ) )
=> ( perp @ A @ N @ P @ Q ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,M: $i,N: $i,Q: $i,P: $i] :
( ( ( eqangle @ C @ A @ A @ N @ M @ A @ A @ B )
& ( perp @ Q @ M @ A @ B )
& ( coll @ Q @ A @ B )
& ( perp @ P @ M @ A @ C )
& ( coll @ P @ A @ C ) )
=> ( perp @ A @ N @ P @ Q ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL8110999]) ).
thf(zip_derived_cl113,plain,
~ ( perp @ sk__20 @ sk__24 @ sk__26 @ sk__25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD56,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( cong @ A @ P @ B @ P )
& ( cong @ A @ Q @ B @ Q ) )
=> ( perp @ A @ B @ P @ Q ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
| ~ ( cong @ X0 @ X3 @ X2 @ X3 )
| ( perp @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD56]) ).
thf(zip_derived_cl116,plain,
eqangle @ sk__22 @ sk__20 @ sk__20 @ sk__24 @ sk__23 @ sk__20 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD18,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 @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).
thf(zip_derived_cl17,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 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD18]) ).
thf(zip_derived_cl1350,plain,
eqangle @ sk__20 @ sk__22 @ sk__20 @ sk__24 @ sk__23 @ sk__20 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl17]) ).
thf(ruleD20,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 @ P @ Q @ U @ V @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl19,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD20]) ).
thf(zip_derived_cl1360,plain,
eqangle @ sk__23 @ sk__20 @ sk__20 @ sk__21 @ sk__20 @ sk__22 @ sk__20 @ sk__24,
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl19]) ).
thf(zip_derived_cl17_001,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 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD18]) ).
thf(zip_derived_cl3156,plain,
eqangle @ sk__20 @ sk__23 @ sk__20 @ sk__21 @ sk__20 @ sk__22 @ sk__20 @ sk__24,
inference('s_sup-',[status(thm)],[zip_derived_cl1360,zip_derived_cl17]) ).
thf(ruleD43,axiom,
! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( ( cyclic @ A @ B @ C @ P )
& ( cyclic @ A @ B @ C @ Q )
& ( cyclic @ A @ B @ C @ R )
& ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
=> ( cong @ A @ B @ P @ Q ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
| ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
| ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
| ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD43]) ).
thf(zip_derived_cl6406,plain,
( ( cong @ sk__23 @ sk__21 @ sk__22 @ sk__24 )
| ~ ( cyclic @ sk__23 @ sk__21 @ sk__20 @ sk__24 )
| ~ ( cyclic @ sk__23 @ sk__21 @ sk__20 @ sk__22 )
| ~ ( cyclic @ sk__23 @ sk__21 @ sk__20 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3156,zip_derived_cl43]) ).
thf(zip_derived_cl117,plain,
perp @ sk__25 @ sk__23 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl188,plain,
perp @ sk__20 @ sk__21 @ sk__25 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl7]) ).
thf(ruleD7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD7]) ).
thf(zip_derived_cl195,plain,
perp @ sk__20 @ sk__21 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl6]) ).
thf(zip_derived_cl117_002,plain,
perp @ sk__25 @ sk__23 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl213,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__20 @ sk__21 @ X1 @ X0 )
| ( para @ sk__25 @ sk__23 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl8]) ).
thf(zip_derived_cl1513,plain,
para @ sk__25 @ sk__23 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl213]) ).
thf(ruleD5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( para @ A @ B @ C @ D )
=> ( para @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD5]) ).
thf(zip_derived_cl1521,plain,
para @ sk__23 @ sk__25 @ sk__25 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl4]) ).
thf(ruleD4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( para @ A @ B @ C @ D )
=> ( para @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD4]) ).
thf(zip_derived_cl1563,plain,
para @ sk__23 @ sk__25 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl3]) ).
thf(ruleD66,axiom,
! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl1581,plain,
coll @ sk__23 @ sk__25 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl66]) ).
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_cl1590,plain,
coll @ sk__25 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl1581,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_cl1593,plain,
coll @ sk__25 @ sk__25 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl1590,zip_derived_cl0]) ).
thf(zip_derived_cl118,plain,
coll @ sk__25 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl122,plain,
coll @ sk__20 @ sk__25 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl1]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl127,plain,
coll @ sk__20 @ sk__21 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl0]) ).
thf(zip_derived_cl127_005,plain,
coll @ sk__20 @ sk__21 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl0]) ).
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_cl139,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__21 @ X0 )
| ( coll @ sk__25 @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl2]) ).
thf(zip_derived_cl155,plain,
coll @ sk__25 @ sk__25 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl139]) ).
thf(zip_derived_cl2_006,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_cl156,plain,
! [X0: $i] :
( ~ ( coll @ sk__25 @ sk__25 @ X0 )
| ( coll @ sk__20 @ X0 @ sk__25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl2]) ).
thf(zip_derived_cl1599,plain,
coll @ sk__20 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl1593,zip_derived_cl156]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl1607,plain,
coll @ sk__20 @ sk__25 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl1599,zip_derived_cl0]) ).
thf(zip_derived_cl118_008,plain,
coll @ sk__25 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl119,plain,
coll @ sk__25 @ sk__21 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl0]) ).
thf(zip_derived_cl1_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl123,plain,
coll @ sk__21 @ sk__25 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl1]) ).
thf(zip_derived_cl123_011,plain,
coll @ sk__21 @ sk__25 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl1]) ).
thf(zip_derived_cl2_012,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_cl143,plain,
! [X0: $i] :
( ~ ( coll @ sk__21 @ sk__25 @ X0 )
| ( coll @ sk__20 @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2]) ).
thf(zip_derived_cl255,plain,
coll @ sk__20 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl143]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl259,plain,
coll @ sk__20 @ sk__21 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl0]) ).
thf(zip_derived_cl139_014,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__21 @ X0 )
| ( coll @ sk__25 @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl2]) ).
thf(zip_derived_cl264,plain,
coll @ sk__25 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl139]) ).
thf(zip_derived_cl1_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl271,plain,
coll @ sk__20 @ sk__25 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl1]) ).
thf(zip_derived_cl2_016,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_cl272,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__25 @ X0 )
| ( coll @ sk__20 @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl2]) ).
thf(zip_derived_cl1627,plain,
coll @ sk__20 @ sk__23 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl1607,zip_derived_cl272]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl1694,plain,
coll @ sk__20 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl1627,zip_derived_cl0]) ).
thf(zip_derived_cl195_018,plain,
perp @ sk__20 @ sk__21 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl6]) ).
thf(zip_derived_cl7_019,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_cl204,plain,
perp @ sk__23 @ sk__25 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl7]) ).
thf(zip_derived_cl195_020,plain,
perp @ sk__20 @ sk__21 @ sk__23 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl6]) ).
thf(zip_derived_cl8_021,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_cl207,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__23 @ sk__25 @ X1 @ X0 )
| ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl8]) ).
thf(zip_derived_cl1369,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl207]) ).
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_cl39,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(zip_derived_cl1373,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1369,zip_derived_cl39]) ).
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_cl42,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_cl3235,plain,
! [X0: $i] :
( ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
| ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1373,zip_derived_cl42]) ).
thf(zip_derived_cl3248,plain,
cyclic @ sk__21 @ sk__23 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl3235]) ).
thf(ruleD16,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cyclic @ A @ B @ C @ D )
=> ( cyclic @ B @ A @ C @ D ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( cyclic @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD16]) ).
thf(zip_derived_cl3273,plain,
cyclic @ sk__23 @ sk__21 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl3248,zip_derived_cl15]) ).
thf(zip_derived_cl6407,plain,
( ( cong @ sk__23 @ sk__21 @ sk__22 @ sk__24 )
| ~ ( cyclic @ sk__23 @ sk__21 @ sk__20 @ sk__24 )
| ~ ( cyclic @ sk__23 @ sk__21 @ sk__20 @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl6406,zip_derived_cl3273]) ).
thf(zip_derived_cl3235_022,plain,
! [X0: $i] :
( ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
| ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1373,zip_derived_cl42]) ).
thf(zip_derived_cl1373_023,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1369,zip_derived_cl39]) ).
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_cl3230,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1373,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_cl38,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_cl6547,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3230,zip_derived_cl38]) ).
thf(zip_derived_cl66_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl6572,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6547,zip_derived_cl66]) ).
thf(zip_derived_cl1_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl6615,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6572,zip_derived_cl1]) ).
thf(zip_derived_cl0_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl6871,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6615,zip_derived_cl0]) ).
thf(zip_derived_cl7194,plain,
! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl3235,zip_derived_cl6871]) ).
thf(ruleD15,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cyclic @ A @ B @ C @ D )
=> ( cyclic @ A @ C @ B @ D ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD15]) ).
thf(zip_derived_cl7461,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7194,zip_derived_cl14]) ).
thf(ruleD14,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cyclic @ A @ B @ C @ D )
=> ( cyclic @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( cyclic @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD14]) ).
thf(zip_derived_cl7519,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7461,zip_derived_cl13]) ).
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_cl7622,plain,
! [X0: $i,X1: $i] :
( ~ ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X1 )
| ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7519,zip_derived_cl16]) ).
thf(zip_derived_cl7519_027,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7461,zip_derived_cl13]) ).
thf(zip_derived_cl7628,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7622,zip_derived_cl7519]) ).
thf(zip_derived_cl16_028,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_cl7657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cyclic @ sk__20 @ sk__20 @ X1 @ X2 )
| ( cyclic @ sk__20 @ X1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7628,zip_derived_cl16]) ).
thf(zip_derived_cl7628_029,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7622,zip_derived_cl7519]) ).
thf(zip_derived_cl7663,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl7657,zip_derived_cl7628]) ).
thf(zip_derived_cl16_030,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_cl7664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ sk__20 @ X2 @ X1 @ X3 )
| ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7663,zip_derived_cl16]) ).
thf(zip_derived_cl7663_031,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl7657,zip_derived_cl7628]) ).
thf(zip_derived_cl7670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7664,zip_derived_cl7663]) ).
thf(zip_derived_cl7670_032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7664,zip_derived_cl7663]) ).
thf(zip_derived_cl8108,plain,
cong @ sk__23 @ sk__21 @ sk__22 @ sk__24,
inference(demod,[status(thm)],[zip_derived_cl6407,zip_derived_cl7670,zip_derived_cl7670]) ).
thf(ruleD24,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cong @ A @ B @ C @ D )
=> ( cong @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD24]) ).
thf(zip_derived_cl8111,plain,
cong @ sk__22 @ sk__24 @ sk__23 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl8108,zip_derived_cl23]) ).
thf(zip_derived_cl8108_033,plain,
cong @ sk__23 @ sk__21 @ sk__22 @ sk__24,
inference(demod,[status(thm)],[zip_derived_cl6407,zip_derived_cl7670,zip_derived_cl7670]) ).
thf(ruleD25,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( cong @ A @ B @ C @ D )
& ( cong @ C @ D @ E @ F ) )
=> ( cong @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X2 @ X3 @ X4 @ X5 )
| ( cong @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD25]) ).
thf(zip_derived_cl8109,plain,
! [X0: $i,X1: $i] :
( ~ ( cong @ sk__22 @ sk__24 @ X1 @ X0 )
| ( cong @ sk__23 @ sk__21 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8108,zip_derived_cl24]) ).
thf(zip_derived_cl8594,plain,
cong @ sk__23 @ sk__21 @ sk__23 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl8111,zip_derived_cl8109]) ).
thf(ruleD67,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( cong @ A @ B @ A @ C )
& ( coll @ A @ B @ C ) )
=> ( midp @ A @ B @ C ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD67]) ).
thf(zip_derived_cl6871_034,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6615,zip_derived_cl0]) ).
thf(zip_derived_cl2_035,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_cl7202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( coll @ X1 @ X1 @ X2 )
| ( coll @ X0 @ X2 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6871,zip_derived_cl2]) ).
thf(zip_derived_cl6871_036,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6615,zip_derived_cl0]) ).
thf(zip_derived_cl7313,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7202,zip_derived_cl6871]) ).
thf(zip_derived_cl7320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl7313]) ).
thf(zip_derived_cl8600,plain,
midp @ sk__23 @ sk__21 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl8594,zip_derived_cl7320]) ).
thf(zip_derived_cl6547_037,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3230,zip_derived_cl38]) ).
thf(ruleD64,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i] :
( ( ( midp @ M @ A @ B )
& ( para @ A @ C @ B @ D )
& ( para @ A @ D @ B @ C ) )
=> ( midp @ M @ C @ D ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X3 @ X2 @ X1 )
| ~ ( midp @ X4 @ X0 @ X2 )
| ( midp @ X4 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD64]) ).
thf(zip_derived_cl6566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6547,zip_derived_cl64]) ).
thf(zip_derived_cl8614,plain,
! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8600,zip_derived_cl6566]) ).
thf(ruleD68,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( cong @ A @ B @ A @ C ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(zip_derived_cl8627,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8614,zip_derived_cl68]) ).
thf(zip_derived_cl56_038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
| ~ ( cong @ X0 @ X3 @ X2 @ X3 )
| ( perp @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD56]) ).
thf(zip_derived_cl8708,plain,
! [X0: $i,X1: $i] :
( ~ ( cong @ sk__23 @ X1 @ sk__23 @ X1 )
| ( perp @ sk__23 @ sk__23 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8627,zip_derived_cl56]) ).
thf(zip_derived_cl8627_039,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8614,zip_derived_cl68]) ).
thf(zip_derived_cl8709,plain,
! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl8708,zip_derived_cl8627]) ).
thf(zip_derived_cl7_040,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_cl8715,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__23 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8709,zip_derived_cl7]) ).
thf(ruleD41,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( cyclic @ A @ B @ P @ Q )
=> ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
| ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD41]) ).
thf(zip_derived_cl7670_041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7664,zip_derived_cl7663]) ).
thf(zip_derived_cl7671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl7670]) ).
thf(zip_derived_cl17_042,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 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD18]) ).
thf(zip_derived_cl7827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X2 @ X3 @ X3 @ X0 @ X1 @ X2 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7671,zip_derived_cl17]) ).
thf(ruleD74,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 )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD74]) ).
thf(zip_derived_cl7901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X2 @ X3 @ X3 @ X0 )
| ~ ( perp @ X1 @ X2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7827,zip_derived_cl74]) ).
thf(zip_derived_cl8854,plain,
! [X0: $i,X1: $i] : ( perp @ X0 @ X1 @ X1 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8715,zip_derived_cl7901]) ).
thf(ruleD55,axiom,
! [A: $i,B: $i,M: $i,O: $i] :
( ( ( midp @ M @ A @ B )
& ( perp @ O @ M @ A @ B ) )
=> ( cong @ O @ A @ O @ B ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( perp @ X3 @ X0 @ X1 @ X2 )
| ( cong @ X3 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD55]) ).
thf(zip_derived_cl9087,plain,
! [X0: $i,X1: $i] :
( ~ ( midp @ X0 @ X0 @ sk__23 )
| ( cong @ X1 @ X0 @ X1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8854,zip_derived_cl55]) ).
thf(zip_derived_cl8614_043,plain,
! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8600,zip_derived_cl6566]) ).
thf(zip_derived_cl6547_044,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3230,zip_derived_cl38]) ).
thf(zip_derived_cl3_045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD4]) ).
thf(zip_derived_cl6568,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6547,zip_derived_cl3]) ).
thf(ruleD45,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
( ( ( midp @ E @ A @ B )
& ( para @ E @ F @ B @ C )
& ( coll @ F @ A @ C ) )
=> ( midp @ F @ A @ C ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ~ ( coll @ X3 @ X1 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD45]) ).
thf(zip_derived_cl7313_046,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7202,zip_derived_cl6871]) ).
thf(zip_derived_cl7316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl7313]) ).
thf(zip_derived_cl7737,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X0 @ X2 @ X1 )
| ( midp @ X1 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6568,zip_derived_cl7316]) ).
thf(zip_derived_cl8633,plain,
! [X0: $i] : ( midp @ X0 @ X0 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8614,zip_derived_cl7737]) ).
thf(zip_derived_cl9107,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl9087,zip_derived_cl8633]) ).
thf(zip_derived_cl7320_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl7313]) ).
thf(zip_derived_cl9416,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9107,zip_derived_cl7320]) ).
thf(zip_derived_cl6566_048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6547,zip_derived_cl64]) ).
thf(zip_derived_cl9427,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9416,zip_derived_cl6566]) ).
thf(zip_derived_cl68_049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(zip_derived_cl9430,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9427,zip_derived_cl68]) ).
thf(zip_derived_cl56_050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
| ~ ( cong @ X0 @ X3 @ X2 @ X3 )
| ( perp @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD56]) ).
thf(zip_derived_cl9500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
| ( perp @ X1 @ X1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9430,zip_derived_cl56]) ).
thf(zip_derived_cl9430_051,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9427,zip_derived_cl68]) ).
thf(zip_derived_cl9502,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl9500,zip_derived_cl9430]) ).
thf(zip_derived_cl7671_052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl7670]) ).
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_cl7830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X3 @ X2 @ X1 @ X2 @ X3 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7671,zip_derived_cl20]) ).
thf(zip_derived_cl74_053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD74]) ).
thf(zip_derived_cl7931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X2 @ X3 @ X1 @ X3 )
| ~ ( perp @ X2 @ X0 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7830,zip_derived_cl74]) ).
thf(zip_derived_cl9550,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X2 @ X1 @ X2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9502,zip_derived_cl7931]) ).
thf(zip_derived_cl55_054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( perp @ X3 @ X0 @ X1 @ X2 )
| ( cong @ X3 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD55]) ).
thf(zip_derived_cl9651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X0 @ X1 @ X0 )
| ( cong @ X2 @ X1 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9550,zip_derived_cl55]) ).
thf(zip_derived_cl9416_055,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9107,zip_derived_cl7320]) ).
thf(zip_derived_cl6547_056,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3230,zip_derived_cl38]) ).
thf(zip_derived_cl7316_057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl7313]) ).
thf(zip_derived_cl7736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X1 @ X2 @ X1 )
| ( midp @ X0 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6547,zip_derived_cl7316]) ).
thf(zip_derived_cl9428,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9416,zip_derived_cl7736]) ).
thf(zip_derived_cl9662,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl9651,zip_derived_cl9428]) ).
thf(ruleD23,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cong @ A @ B @ C @ D )
=> ( cong @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD23]) ).
thf(zip_derived_cl9725,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X2 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9662,zip_derived_cl22]) ).
thf(zip_derived_cl23_058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD24]) ).
thf(zip_derived_cl9738,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X0 @ X0 @ X2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9725,zip_derived_cl23]) ).
thf(zip_derived_cl22_059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD23]) ).
thf(zip_derived_cl9743,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9738,zip_derived_cl22]) ).
thf(zip_derived_cl9743_060,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9738,zip_derived_cl22]) ).
thf(zip_derived_cl9747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl9743,zip_derived_cl9743]) ).
thf(zip_derived_cl9752,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl9747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO636+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZFlBSY8dbE true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:58:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.61/2.65 % Solved by fo/fo13.sh.
% 14.61/2.65 % done 4754 iterations in 1.857s
% 14.61/2.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.61/2.65 % SZS output start Refutation
% See solution above
% 14.61/2.65
% 14.61/2.65
% 14.61/2.65 % Terminating...
% 14.97/2.75 % Runner terminated.
% 14.97/2.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------