TSTP Solution File: GEO642+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO642+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.YsatgtT449 true
% Computer : n011.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 23:59:34 EDT 2023
% Result : Theorem 111.16s 16.51s
% Output : Refutation 111.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 43
% Syntax : Number of formulae : 161 ( 36 unt; 14 typ; 0 def)
% Number of atoms : 355 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1826 ( 131 ~; 136 |; 42 &;1487 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 7 con; 0-8 aty)
% Number of variables : 545 ( 0 ^; 545 !; 0 ?; 545 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
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__25_type,type,
sk__25: $i ).
thf(sk__27_type,type,
sk__27: $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__20_type,type,
sk__20: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(exemplo6GDDFULL81109108,conjecture,
! [A: $i,B: $i,O: $i,C: $i,P: $i,D: $i,G: $i,E: $i,F: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
( ( ( midp @ O @ B @ A )
& ( circle @ O @ A @ NWPNT1 @ NWPNT2 )
& ( circle @ O @ A @ C @ NWPNT3 )
& ( circle @ O @ A @ P @ NWPNT4 )
& ( circle @ C @ B @ NWPNT5 @ NWPNT6 )
& ( circle @ O @ A @ D @ NWPNT7 )
& ( circle @ C @ B @ D @ NWPNT8 )
& ( coll @ G @ B @ P )
& ( coll @ G @ A @ D )
& ( coll @ E @ A @ C )
& ( coll @ E @ B @ P )
& ( coll @ F @ A @ D )
& ( coll @ F @ C @ P ) )
=> ( perp @ E @ F @ A @ D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,O: $i,C: $i,P: $i,D: $i,G: $i,E: $i,F: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
( ( ( midp @ O @ B @ A )
& ( circle @ O @ A @ NWPNT1 @ NWPNT2 )
& ( circle @ O @ A @ C @ NWPNT3 )
& ( circle @ O @ A @ P @ NWPNT4 )
& ( circle @ C @ B @ NWPNT5 @ NWPNT6 )
& ( circle @ O @ A @ D @ NWPNT7 )
& ( circle @ C @ B @ D @ NWPNT8 )
& ( coll @ G @ B @ P )
& ( coll @ G @ A @ D )
& ( coll @ E @ A @ C )
& ( coll @ E @ B @ P )
& ( coll @ F @ A @ D )
& ( coll @ F @ C @ P ) )
=> ( perp @ E @ F @ A @ D ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL81109108]) ).
thf(zip_derived_cl114,plain,
~ ( perp @ sk__27 @ sk__28 @ sk__20 @ 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_cl48,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(ruleD68,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( cong @ A @ B @ A @ C ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
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_cl1707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X1 @ X2 @ X0 )
| ( cong @ X1 @ X2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl22]) ).
thf(ruleD12,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( cong @ O @ A @ O @ C ) )
=> ( circle @ O @ A @ B @ C ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD12]) ).
thf(ruleD54,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( cyclic @ A @ B @ C @ D )
& ( para @ A @ B @ C @ D ) )
=> ( eqangle @ A @ D @ C @ D @ C @ D @ C @ B ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X3 @ X2 @ X1 )
| ~ ( cyclic @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD54]) ).
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_cl1560,plain,
! [X0: $i,X1: $i] :
( ~ ( cyclic @ X1 @ X0 @ X1 @ X0 )
| ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( coll @ X1 @ X1 @ X0 )
| ( cyclic @ X0 @ X0 @ X1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl33]) ).
thf(zip_derived_cl33_001,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(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(zip_derived_cl1290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X1 @ X1 @ X2 )
| ( cyclic @ X2 @ X0 @ X1 @ X1 )
| ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).
thf(zip_derived_cl7024,plain,
! [X0: $i,X1: $i] :
( ( cyclic @ X0 @ X0 @ X1 @ X1 )
| ( coll @ X1 @ X1 @ X0 )
| ~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1560,zip_derived_cl1290]) ).
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_cl31_002,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_cl1314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( coll @ X1 @ X1 @ X0 )
| ( cyclic @ X2 @ X0 @ X1 @ X1 )
| ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl31]) ).
thf(zip_derived_cl7025,plain,
! [X0: $i,X1: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( cyclic @ X0 @ X0 @ X1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl7024,zip_derived_cl1314]) ).
thf(zip_derived_cl46_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X3 @ X2 @ X1 )
| ~ ( cyclic @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD54]) ).
thf(ruleD51,axiom,
! [A: $i,B: $i,C: $i,O: $i,M: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ M @ B @ C )
& ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
=> ( midp @ M @ B @ C ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( coll @ X4 @ X2 @ X3 )
| ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
| ( midp @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD51]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cyclic @ X1 @ X0 @ X1 @ X2 )
| ~ ( para @ X1 @ X0 @ X1 @ X2 )
| ( midp @ X0 @ X2 @ X2 )
| ~ ( coll @ X0 @ X2 @ X2 )
| ~ ( circle @ X1 @ X1 @ X2 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl43]) ).
thf(zip_derived_cl7175,plain,
! [X0: $i] :
( ~ ( para @ X0 @ X0 @ X0 @ X0 )
| ~ ( circle @ X0 @ X0 @ X0 @ X0 )
| ~ ( coll @ X0 @ X0 @ X0 )
| ( midp @ X0 @ X0 @ X0 )
| ~ ( para @ X0 @ X0 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7025,zip_derived_cl1565]) ).
thf(zip_derived_cl7176,plain,
! [X0: $i] :
( ( midp @ X0 @ X0 @ X0 )
| ~ ( coll @ X0 @ X0 @ X0 )
| ~ ( circle @ X0 @ X0 @ X0 @ X0 )
| ~ ( para @ X0 @ X0 @ X0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7175]) ).
thf(zip_derived_cl102,plain,
midp @ sk__22 @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD11,axiom,
! [A: $i,B: $i,M: $i] :
( ( midp @ M @ B @ A )
=> ( midp @ M @ A @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( midp @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD11]) ).
thf(zip_derived_cl836,plain,
midp @ sk__22 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl10]) ).
thf(ruleD44,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
( ( ( midp @ E @ A @ B )
& ( midp @ F @ A @ C ) )
=> ( para @ E @ F @ B @ C ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( midp @ X3 @ X1 @ X4 )
| ( para @ X0 @ X3 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD44]) ).
thf(zip_derived_cl1374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( para @ X2 @ X2 @ X0 @ X0 )
| ~ ( midp @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl5116,plain,
para @ sk__22 @ sk__22 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl836,zip_derived_cl1374]) ).
thf(ruleD6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( para @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD6]) ).
thf(zip_derived_cl7085,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__22 @ sk__22 @ X1 @ X0 )
| ~ ( para @ sk__21 @ sk__21 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5116,zip_derived_cl5]) ).
thf(zip_derived_cl31_004,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_cl1238,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_cl3637,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_cl1238,zip_derived_cl30]) ).
thf(zip_derived_cl127105,plain,
! [X0: $i,X1: $i] :
( ~ ( para @ sk__21 @ sk__21 @ sk__22 @ sk__22 )
| ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7085,zip_derived_cl3637]) ).
thf(zip_derived_cl5116_005,plain,
para @ sk__22 @ sk__22 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl836,zip_derived_cl1374]) ).
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_cl7089,plain,
para @ sk__21 @ sk__21 @ sk__22 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl5116,zip_derived_cl4]) ).
thf(zip_derived_cl127134,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl127105,zip_derived_cl7089]) ).
thf(ruleD66,axiom,
! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl127173,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl127134,zip_derived_cl54]) ).
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_cl859,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_cl127275,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl127173,zip_derived_cl859]) ).
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_cl129271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127275,zip_derived_cl2]) ).
thf(zip_derived_cl127275_007,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl127173,zip_derived_cl859]) ).
thf(zip_derived_cl129365,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl129271,zip_derived_cl127275]) ).
thf(zip_derived_cl127134_008,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl127105,zip_derived_cl7089]) ).
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_cl127170,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl127134,zip_derived_cl3]) ).
thf(zip_derived_cl130187,plain,
! [X0: $i] :
( ( midp @ X0 @ X0 @ X0 )
| ~ ( circle @ X0 @ X0 @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7176,zip_derived_cl129365,zip_derived_cl127170]) ).
thf(zip_derived_cl130189,plain,
! [X0: $i] :
( ~ ( cong @ X0 @ X0 @ X0 @ X0 )
| ~ ( cong @ X0 @ X0 @ X0 @ X0 )
| ( midp @ X0 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl130187]) ).
thf(ruleD47,axiom,
! [A: $i,B: $i,O: $i] :
( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
& ~ ( coll @ O @ A @ B ) )
=> ( cong @ O @ A @ O @ B ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ( coll @ X0 @ X1 @ X2 )
| ~ ( eqangle @ X0 @ X1 @ X1 @ X2 @ X1 @ X2 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD47]) ).
thf(zip_derived_cl46_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X3 @ X2 @ X1 )
| ~ ( cyclic @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD54]) ).
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_cl1555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X3 @ X0 @ X1 @ X2 )
| ~ ( para @ X3 @ X0 @ X1 @ X2 )
| ( eqangle @ X2 @ X3 @ X1 @ X2 @ X1 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl17]) ).
thf(zip_derived_cl6863,plain,
! [X0: $i] :
( ( coll @ X0 @ X0 @ X0 )
| ( cong @ X0 @ X0 @ X0 @ X0 )
| ~ ( para @ X0 @ X0 @ X0 @ X0 )
| ~ ( cyclic @ X0 @ X0 @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1555]) ).
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_cl32,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(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_cl35,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_cl1349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
| ( cong @ X2 @ X0 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).
thf(zip_derived_cl1350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X2 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1349]) ).
thf(zip_derived_cl4910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X1 @ X0 @ X1 @ X0 )
| ~ ( cyclic @ X1 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1350]) ).
thf(zip_derived_cl4913,plain,
! [X0: $i,X1: $i] :
( ~ ( cyclic @ X0 @ X0 @ X1 @ X0 )
| ( cong @ X0 @ X0 @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4910]) ).
thf(zip_derived_cl120436,plain,
! [X0: $i] :
( ~ ( cyclic @ X0 @ X0 @ X0 @ X0 )
| ~ ( para @ X0 @ X0 @ X0 @ X0 )
| ( cong @ X0 @ X0 @ X0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6863,zip_derived_cl4913]) ).
thf(zip_derived_cl31_010,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_cl1240,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(zip_derived_cl34_011,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_cl3738,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_cl1240,zip_derived_cl34]) ).
thf(zip_derived_cl1240_012,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(zip_derived_cl33_013,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_cl3737,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_cl1240,zip_derived_cl33]) ).
thf(zip_derived_cl55918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cyclic @ X0 @ X0 @ X2 @ X1 )
| ~ ( para @ X2 @ X0 @ X2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3738,zip_derived_cl3737]) ).
thf(zip_derived_cl120437,plain,
! [X0: $i] :
( ( cong @ X0 @ X0 @ X0 @ X0 )
| ~ ( para @ X0 @ X0 @ X0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl120436,zip_derived_cl55918]) ).
thf(zip_derived_cl127134_014,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl127105,zip_derived_cl7089]) ).
thf(zip_derived_cl127164,plain,
! [X0: $i] : ( cong @ X0 @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl120437,zip_derived_cl127134]) ).
thf(zip_derived_cl127164_015,plain,
! [X0: $i] : ( cong @ X0 @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl120437,zip_derived_cl127134]) ).
thf(zip_derived_cl130190,plain,
! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl130189,zip_derived_cl127164,zip_derived_cl127164]) ).
thf(zip_derived_cl127134_016,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl127105,zip_derived_cl7089]) ).
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_cl52,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_cl1660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( midp @ X3 @ X0 @ X0 )
| ~ ( midp @ X3 @ X2 @ X1 )
| ~ ( para @ X2 @ X0 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl127184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127134,zip_derived_cl1660]) ).
thf(zip_derived_cl130201,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl130190,zip_derived_cl127184]) ).
thf(zip_derived_cl52_017,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_cl48_018,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_cl1600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X2 @ X1 @ X0 @ X0 )
| ~ ( cong @ X2 @ X0 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl56_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(zip_derived_cl7336,plain,
! [X0: $i,X1: $i] :
( ( perp @ X1 @ X1 @ X0 @ X0 )
| ~ ( midp @ X1 @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1600,zip_derived_cl56]) ).
thf(zip_derived_cl130201_020,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl130190,zip_derived_cl127184]) ).
thf(zip_derived_cl130224,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X1 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl7336,zip_derived_cl130201]) ).
thf(ruleD52,axiom,
! [A: $i,B: $i,C: $i,M: $i] :
( ( ( perp @ A @ B @ B @ C )
& ( midp @ M @ A @ C ) )
=> ( cong @ A @ M @ B @ M ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( midp @ X3 @ X0 @ X2 )
| ( cong @ X0 @ X3 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD52]) ).
thf(zip_derived_cl130228,plain,
! [X0: $i,X1: $i] :
( ( cong @ X0 @ X1 @ X0 @ X1 )
| ~ ( midp @ X1 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl130224,zip_derived_cl44]) ).
thf(zip_derived_cl130201_021,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl130190,zip_derived_cl127184]) ).
thf(zip_derived_cl130239,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl130228,zip_derived_cl130201]) ).
thf(zip_derived_cl48_022,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_cl130769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X1 @ X1 @ X0 @ X2 )
| ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl130239,zip_derived_cl48]) ).
thf(zip_derived_cl130239_023,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl130228,zip_derived_cl130201]) ).
thf(zip_derived_cl130800,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl130769,zip_derived_cl130239]) ).
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_cl130989,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl130800,zip_derived_cl7]) ).
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_cl131140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( para @ X2 @ X1 @ X4 @ X3 )
| ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl130989,zip_derived_cl8]) ).
thf(zip_derived_cl130800_024,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl130769,zip_derived_cl130239]) ).
thf(zip_derived_cl131174,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl131140,zip_derived_cl130800]) ).
thf(zip_derived_cl131174_025,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl131140,zip_derived_cl130800]) ).
thf(zip_derived_cl131178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X4 @ X0 @ X2 )
| ( midp @ X4 @ X3 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl131174,zip_derived_cl131174]) ).
thf(zip_derived_cl131254,plain,
! [X1: $i,X2: $i,X3: $i] : ( midp @ X1 @ X3 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl130201,zip_derived_cl131178]) ).
thf(zip_derived_cl131271,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl1707,zip_derived_cl131254]) ).
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_cl131375,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X0 @ X0 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl131271,zip_derived_cl23]) ).
thf(zip_derived_cl22_026,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_cl131392,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl131375,zip_derived_cl22]) ).
thf(zip_derived_cl131392_027,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl131375,zip_derived_cl22]) ).
thf(zip_derived_cl131398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl131392,zip_derived_cl131392]) ).
thf(zip_derived_cl131402,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl131398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YsatgtT449 true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 30 00:12:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 1.09/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 111.16/16.51 % Solved by fo/fo3_bce.sh.
% 111.16/16.51 % BCE start: 115
% 111.16/16.51 % BCE eliminated: 1
% 111.16/16.51 % PE start: 114
% 111.16/16.51 logic: eq
% 111.16/16.51 % PE eliminated: 0
% 111.16/16.51 % done 25991 iterations in 15.754s
% 111.16/16.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 111.16/16.51 % SZS output start Refutation
% See solution above
% 111.16/16.51
% 111.16/16.51
% 111.16/16.51 % Terminating...
% 111.74/16.58 % Runner terminated.
% 111.74/16.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------