TSTP Solution File: GEO542+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kpf8PYsc4P true
% Computer : n001.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 23:59:03 EDT 2023
% Result : Theorem 51.35s 8.11s
% Output : Refutation 51.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 39
% Syntax : Number of formulae : 133 ( 42 unt; 16 typ; 0 def)
% Number of atoms : 236 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1212 ( 80 ~; 78 |; 17 &;1013 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 8 con; 0-8 aty)
% Number of variables : 457 ( 0 ^; 456 !; 1 ?; 457 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
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__23_type,type,
sk__23: $i ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__21_type,type,
sk__21: $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__25_type,type,
sk__25: $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(exemplo6GDDFULL012002,conjecture,
! [A: $i,B: $i,C: $i,A1: $i,B1: $i,C1: $i,O: $i] :
( ( ( midp @ A1 @ C @ B )
& ( midp @ B1 @ C @ A )
& ( midp @ C1 @ B @ A )
& ( circle @ O @ A @ B @ C ) )
=> ( perp @ O @ A1 @ B1 @ C1 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,A1: $i,B1: $i,C1: $i,O: $i] :
( ( ( midp @ A1 @ C @ B )
& ( midp @ B1 @ C @ A )
& ( midp @ C1 @ B @ A )
& ( circle @ O @ A @ B @ C ) )
=> ( perp @ O @ A1 @ B1 @ C1 ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012002]) ).
thf(zip_derived_cl101,plain,
~ ( perp @ sk__26 @ sk__23 @ sk__24 @ 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_cl1598,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(ruleD67,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( cong @ A @ B @ A @ C )
& ( coll @ A @ B @ C ) )
=> ( midp @ A @ B @ C ) ) ).
thf(zip_derived_cl55,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(ruleX11,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
? [P: $i] :
( ( circle @ O @ A @ B @ C )
=> ( perp @ P @ A @ A @ O ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ( perp @ ( sk__11 @ X0 @ X1 ) @ X1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ruleX11]) ).
thf(zip_derived_cl102,plain,
circle @ sk__26 @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2567,plain,
perp @ ( sk__11 @ sk__26 @ sk__20 ) @ sk__20 @ sk__20 @ sk__26,
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl102]) ).
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_cl2572,plain,
perp @ sk__20 @ sk__26 @ ( sk__11 @ sk__26 @ sk__20 ) @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl2567,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_cl3429,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__26 @ X1 @ X0 )
| ~ ( perp @ ( sk__11 @ sk__26 @ sk__20 ) @ sk__20 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2572,zip_derived_cl8]) ).
thf(zip_derived_cl2567_001,plain,
perp @ ( sk__11 @ sk__26 @ sk__20 ) @ sk__20 @ sk__20 @ sk__26,
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl102]) ).
thf(zip_derived_cl42162,plain,
para @ sk__20 @ sk__26 @ sk__20 @ sk__26,
inference('sup+',[status(thm)],[zip_derived_cl3429,zip_derived_cl2567]) ).
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(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_cl1147,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_cl3474,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_cl1147,zip_derived_cl30]) ).
thf(zip_derived_cl43891,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42162,zip_derived_cl3474]) ).
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_cl43903,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl43891,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_cl770,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_cl43954,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl43903,zip_derived_cl770]) ).
thf(zip_derived_cl2_002,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_cl45135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43954,zip_derived_cl2]) ).
thf(zip_derived_cl43954_003,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl43903,zip_derived_cl770]) ).
thf(zip_derived_cl45217,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl45135,zip_derived_cl43954]) ).
thf(zip_derived_cl45332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl45217]) ).
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_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(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_cl1149,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_cl3603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cyclic @ X4 @ X2 @ X3 @ X1 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
| ( cong @ X4 @ X2 @ X0 @ X0 )
| ~ ( para @ X3 @ X4 @ X3 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1149]) ).
thf(zip_derived_cl3614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( para @ X3 @ X4 @ X3 @ X2 )
| ( cong @ X4 @ X2 @ X0 @ X0 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3603]) ).
thf(zip_derived_cl35_005,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_cl31_006,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(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_cl1148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X5 @ X4 @ X3 @ X2 )
| ( eqangle @ X3 @ X2 @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl19]) ).
thf(zip_derived_cl3540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X3 @ X0 @ X1 @ X1 )
| ~ ( cyclic @ X3 @ X0 @ X1 @ X2 )
| ~ ( cyclic @ X3 @ X0 @ X1 @ X0 )
| ( cong @ X3 @ X0 @ X2 @ X0 )
| ~ ( para @ X1 @ X2 @ X1 @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1148]) ).
thf(zip_derived_cl1147_007,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(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_cl3476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ~ ( coll @ X1 @ X1 @ X0 )
| ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1147,zip_derived_cl34]) ).
thf(zip_derived_cl43891_008,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42162,zip_derived_cl3474]) ).
thf(zip_derived_cl43954_009,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl43903,zip_derived_cl770]) ).
thf(zip_derived_cl45265,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3476,zip_derived_cl43891,zip_derived_cl43954]) ).
thf(zip_derived_cl45265_010,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3476,zip_derived_cl43891,zip_derived_cl43954]) ).
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_cl45276,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl45265,zip_derived_cl14]) ).
thf(zip_derived_cl45760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X3 @ X0 @ X1 @ X2 )
| ( cong @ X3 @ X0 @ X2 @ X0 )
| ~ ( para @ X1 @ X2 @ X1 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl45265,zip_derived_cl45276]) ).
thf(zip_derived_cl45276_011,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl45265,zip_derived_cl14]) ).
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_cl45742,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl45276,zip_derived_cl15]) ).
thf(zip_derived_cl45813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( cong @ X0 @ X2 @ X0 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45760,zip_derived_cl45742]) ).
thf(zip_derived_cl43891_012,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42162,zip_derived_cl3474]) ).
thf(zip_derived_cl45814,plain,
! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl45813,zip_derived_cl43891]) ).
thf(zip_derived_cl48_013,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_cl45956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X1 @ X1 @ X0 @ X2 )
| ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45814,zip_derived_cl48]) ).
thf(zip_derived_cl45814_014,plain,
! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl45813,zip_derived_cl43891]) ).
thf(zip_derived_cl45974,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl45956,zip_derived_cl45814]) ).
thf(zip_derived_cl7_015,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_cl46001,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl45974,zip_derived_cl7]) ).
thf(zip_derived_cl8_016,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_cl46035,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_cl46001,zip_derived_cl8]) ).
thf(zip_derived_cl45974_017,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl45956,zip_derived_cl45814]) ).
thf(zip_derived_cl46051,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl46035,zip_derived_cl45974]) ).
thf(zip_derived_cl45276_018,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl45265,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_cl45739,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl45276,zip_derived_cl13]) ).
thf(zip_derived_cl15_019,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_cl45770,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl45739,zip_derived_cl15]) ).
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_cl45875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X3 )
| ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45770,zip_derived_cl16]) ).
thf(zip_derived_cl45770_020,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl45739,zip_derived_cl15]) ).
thf(zip_derived_cl45895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl45875,zip_derived_cl45770]) ).
thf(zip_derived_cl45895_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl45875,zip_derived_cl45770]) ).
thf(zip_derived_cl46192,plain,
! [X0: $i,X2: $i,X4: $i] : ( cong @ X4 @ X2 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl3614,zip_derived_cl46051,zip_derived_cl45895,zip_derived_cl45895]) ).
thf(zip_derived_cl46256,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl45332,zip_derived_cl46192]) ).
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_cl46051_022,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl46035,zip_derived_cl45974]) ).
thf(zip_derived_cl46051_023,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl46035,zip_derived_cl45974]) ).
thf(zip_derived_cl46140,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_cl46051,zip_derived_cl46051]) ).
thf(zip_derived_cl46276,plain,
! [X0: $i,X2: $i,X3: $i] : ( midp @ X0 @ X3 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl46256,zip_derived_cl46140]) ).
thf(zip_derived_cl46306,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl1598,zip_derived_cl46276]) ).
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_cl46346,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X0 @ X0 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl46306,zip_derived_cl23]) ).
thf(zip_derived_cl22_024,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_cl46352,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl46346,zip_derived_cl22]) ).
thf(zip_derived_cl46352_025,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl46346,zip_derived_cl22]) ).
thf(zip_derived_cl46356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl46352,zip_derived_cl46352]) ).
thf(zip_derived_cl46360,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl46356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kpf8PYsc4P true
% 0.13/0.34 % Computer : n001.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 22:44:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 51.35/8.11 % Solved by fo/fo3_bce.sh.
% 51.35/8.11 % BCE start: 106
% 51.35/8.11 % BCE eliminated: 1
% 51.35/8.11 % PE start: 105
% 51.35/8.11 logic: eq
% 51.35/8.11 % PE eliminated: 0
% 51.35/8.11 % done 8984 iterations in 7.357s
% 51.35/8.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 51.35/8.11 % SZS output start Refutation
% See solution above
% 51.35/8.12
% 51.35/8.12
% 51.35/8.12 % Terminating...
% 52.45/8.18 % Runner terminated.
% 52.45/8.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------