%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO574+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.V0zNj0Jnzm true
% Computer : n002.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 04:34:57 PM UTC 2025
% Result : Theorem 23.31s 7.99s
% Output : Refutation 23.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 19
% Syntax : Number of formulae : 95 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 183 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 1020 ( 48 ~; 46 |; 22 &; 884 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 7 con; 0-8 aty)
% Number of variables : 389 ( 0 ^; 389 !; 0 ?; 389 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $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__22_type,type,
sk__22: $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(sk__20_type,type,
sk__20: $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(exemplo6GDDFULL214036,conjecture,
! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,H: $i,O1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ D @ C @ A @ B )
& ( coll @ D @ A @ B )
& ( perp @ E @ B @ A @ C )
& ( coll @ E @ A @ C )
& ( coll @ H @ C @ D )
& ( coll @ H @ B @ E )
& ( circle @ O1 @ A @ H @ B ) )
=> ( eqangle @ O1 @ A @ A @ B @ B @ A @ A @ O ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,H: $i,O1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ D @ C @ A @ B )
& ( coll @ D @ A @ B )
& ( perp @ E @ B @ A @ C )
& ( coll @ E @ A @ C )
& ( coll @ H @ C @ D )
& ( coll @ H @ B @ E )
& ( circle @ O1 @ A @ H @ B ) )
=> ( eqangle @ O1 @ A @ A @ B @ B @ A @ A @ O ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214036]) ).
thf(zip_derived_cl113,plain,
~ ( eqangle @ sk__27 @ sk__20 @ sk__20 @ sk__21 @ sk__21 @ sk__20 @ sk__20 @ sk__23 ),
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_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(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_cl116,plain,
perp @ sk__24 @ sk__22 @ 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_cl216,plain,
perp @ sk__20 @ sk__21 @ sk__24 @ sk__22,
inference('s_sup-',[status(thm)],[zip_derived_cl116,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_cl224,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__24,
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl6]) ).
thf(zip_derived_cl7_001,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_cl233,plain,
perp @ sk__22 @ sk__24 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl7]) ).
thf(zip_derived_cl224_002,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__24,
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl6]) ).
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_cl234,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__22 @ sk__24 @ X1 @ X0 )
| ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl8]) ).
thf(zip_derived_cl1724,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl234]) ).
thf(zip_derived_cl39_003,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_cl1728,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_cl1724,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_cl2871,plain,
! [X0: $i] :
( ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
| ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl42]) ).
thf(zip_derived_cl1728_004,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_cl1724,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_cl2866,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_cl1728,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_cl6317,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2866,zip_derived_cl38]) ).
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_cl6340,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6317,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_cl6376,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6340,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_cl6604,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6376,zip_derived_cl0]) ).
thf(zip_derived_cl6929,plain,
! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl2871,zip_derived_cl6604]) ).
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_cl7263,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6929,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_cl7342,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7263,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_cl7466,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_cl7342,zip_derived_cl16]) ).
thf(zip_derived_cl7342_005,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7263,zip_derived_cl13]) ).
thf(zip_derived_cl7472,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7466,zip_derived_cl7342]) ).
thf(zip_derived_cl16_006,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_cl7473,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_cl7472,zip_derived_cl16]) ).
thf(zip_derived_cl7472_007,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7466,zip_derived_cl7342]) ).
thf(zip_derived_cl7479,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl7473,zip_derived_cl7472]) ).
thf(zip_derived_cl16_008,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_cl7480,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_cl7479,zip_derived_cl16]) ).
thf(zip_derived_cl7479_009,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl7473,zip_derived_cl7472]) ).
thf(zip_derived_cl7486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7480,zip_derived_cl7479]) ).
thf(zip_derived_cl7531,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_cl7486]) ).
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_cl7486_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7480,zip_derived_cl7479]) ).
thf(zip_derived_cl7486_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7480,zip_derived_cl7479]) ).
thf(zip_derived_cl7486_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7480,zip_derived_cl7479]) ).
thf(zip_derived_cl7532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl7486,zip_derived_cl7486,zip_derived_cl7486]) ).
thf(zip_derived_cl13277,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7531,zip_derived_cl7532]) ).
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_cl13288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
| ( perp @ X1 @ X1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13277,zip_derived_cl56]) ).
thf(zip_derived_cl13277_013,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7531,zip_derived_cl7532]) ).
thf(zip_derived_cl13295,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl13288,zip_derived_cl13277]) ).
thf(zip_derived_cl7_014,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_cl13886,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl13295,zip_derived_cl7]) ).
thf(zip_derived_cl8_015,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_cl14634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( perp @ X0 @ X0 @ X4 @ X3 )
| ( para @ X2 @ X1 @ X4 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13886,zip_derived_cl8]) ).
thf(zip_derived_cl13295_016,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl13288,zip_derived_cl13277]) ).
thf(zip_derived_cl14675,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl14634,zip_derived_cl13295]) ).
thf(zip_derived_cl15970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl14675]) ).
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_cl16318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15970,zip_derived_cl20]) ).
thf(ruleD22,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
=> ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl16592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( eqangle @ X1 @ X0 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
| ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16318,zip_derived_cl21]) ).
thf(zip_derived_cl15970_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl14675]) ).
thf(zip_derived_cl18_018,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_cl16316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15970,zip_derived_cl18]) ).
thf(zip_derived_cl20_019,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_cl16569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X3 @ X2 @ X3 @ X2 @ X5 @ X4 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl16316,zip_derived_cl20]) ).
thf(zip_derived_cl18038,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ),
inference(demod,[status(thm)],[zip_derived_cl16592,zip_derived_cl16569]) ).
thf(zip_derived_cl18039,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl18038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.88 % Problem : GEO574+1 : TPTP v9.2.0. Released v7.5.0.
% 0.08/0.98 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V0zNj0Jnzm true
% 0.09/1.34 % Computer : n002.cluster.edu
% 0.09/1.34 % Model : x86_64 x86_64
% 0.09/1.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.34 % Memory : 8042.1875MB
% 0.09/1.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/1.34 % CPULimit : 300
% 0.09/1.34 % WCLimit : 300
% 0.09/1.34 % DateTime : Wed Oct 1 17:39:24 EDT 2025
% 0.09/1.36 % CPUTime :
% 0.09/1.36 % Running portfolio for 300 s
% 0.09/1.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/1.37 % Number of cores: 8
% 0.13/1.39 % Python version: Python 3.6.8
% 0.13/1.41 % Running in FO mode
% 0.33/1.71 % Total configuration time : 435
% 0.33/1.71 % Estimated wc time : 1092
% 0.33/1.71 % Estimated cpu time (7 cpus) : 156.0
% 0.33/1.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/1.98 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/2.00 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.80/2.02 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/2.02 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.80/2.04 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.80/2.05 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.31/7.99 % Solved by fo/fo13.sh.
% 23.31/7.99 % done 7066 iterations in 5.823s
% 23.31/7.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.31/7.99 % SZS output start Refutation
% See solution above
% 23.31/7.99
% 23.31/7.99
% 23.31/7.99 % Terminating...
% 23.93/8.18 % Runner terminated.
% 23.93/8.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------