TSTP Solution File: SEU254+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2OwpE4hd70 true
% Computer : n032.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 Aug 31 19:11:38 EDT 2023
% Result : Theorem 1.70s 0.82s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 94 ( 29 unt; 13 typ; 0 def)
% Number of atoms : 175 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1067 ( 90 ~; 80 |; 3 &; 883 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 0 ^; 107 !; 0 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(relation_restriction_type,type,
relation_restriction: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(dt_k2_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(l2_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( transitive @ A )
<=> ! [B: $i,C: $i,D: $i] :
( ( ( in @ ( ordered_pair @ B @ C ) @ A )
& ( in @ ( ordered_pair @ C @ D ) @ A ) )
=> ( in @ ( ordered_pair @ B @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ~ ( in @ ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__3 @ X0 ) ) @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l2_wellord1]) ).
thf(t24_wellord1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( transitive @ B )
=> ( transitive @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( transitive @ B )
=> ( transitive @ ( relation_restriction @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t24_wellord1]) ).
thf(zip_derived_cl43,plain,
~ ( transitive @ ( relation_restriction @ sk__10 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl43]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl294,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl242]) ).
thf(t106_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl242_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl242]) ).
thf(t16_wellord1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_restriction @ C @ B ) )
<=> ( ( in @ A @ C )
& ( in @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( cartesian_product2 @ X2 @ X2 ) )
| ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( in @ X1 @ X0 )
| ~ ( relation @ X3 )
| ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X1 ) ) @ ( relation_restriction @ X3 @ X0 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X1 ) ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl38]) ).
thf(zip_derived_cl1219,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ sk__10 )
| ~ ( in @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl270]) ).
thf(zip_derived_cl42,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1229,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( in @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl1219,zip_derived_cl42]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l2_wellord1]) ).
thf(zip_derived_cl43_002,plain,
~ ( transitive @ ( relation_restriction @ sk__10 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl43]) ).
thf(zip_derived_cl242_003,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl328,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl242]) ).
thf(zip_derived_cl335,plain,
( ~ ( relation @ sk__10 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl328]) ).
thf(zip_derived_cl42_004,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl337,plain,
( ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl42]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl40_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l2_wellord1]) ).
thf(zip_derived_cl43_007,plain,
~ ( transitive @ ( relation_restriction @ sk__10 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl43]) ).
thf(zip_derived_cl242_008,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl300,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl242]) ).
thf(zip_derived_cl306,plain,
( ~ ( relation @ sk__10 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl300]) ).
thf(zip_derived_cl42_009,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl307,plain,
( ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
transitive @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( transitive @ X0 )
| ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ( in @ ( ordered_pair @ X1 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l2_wellord1]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ sk__10 )
| ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__10 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__10 )
| ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ sk__10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl24]) ).
thf(zip_derived_cl42_010,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl242_011,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl242_012,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl242_013,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X2 ) ) @ sk__10 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X2 ) ) @ sk__10 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl42,zip_derived_cl242,zip_derived_cl242,zip_derived_cl242]) ).
thf(zip_derived_cl365,plain,
! [X0: $i] :
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl289]) ).
thf(zip_derived_cl399,plain,
! [X0: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ X0 ) ) @ sk__10 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl365]) ).
thf(zip_derived_cl445,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl399]) ).
thf(zip_derived_cl5_014,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl451,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl5]) ).
thf(zip_derived_cl452,plain,
( ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ sk__10 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl451]) ).
thf(zip_derived_cl1286,plain,
( ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 )
| ~ ( in @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 )
| ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1229,zip_derived_cl452]) ).
thf(zip_derived_cl328_015,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl242]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ ( cartesian_product2 @ X2 @ X2 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl331,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( relation @ sk__10 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( cartesian_product2 @ sk__9 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl39]) ).
thf(zip_derived_cl42_016,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl339,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( cartesian_product2 @ sk__9 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl42]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl242_017,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X2 ) ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl242]) ).
thf(zip_derived_cl1050,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( sk__1 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl244]) ).
thf(zip_derived_cl1287,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( in @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl1286,zip_derived_cl1050]) ).
thf(zip_derived_cl300_018,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( relation_restriction @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl242]) ).
thf(zip_derived_cl39_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ ( cartesian_product2 @ X2 @ X2 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl303,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ~ ( relation @ sk__10 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( cartesian_product2 @ sk__9 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl39]) ).
thf(zip_derived_cl42_020,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) ) ) @ ( cartesian_product2 @ sk__9 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl42]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl242_021,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X0 ) ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl242]) ).
thf(zip_derived_cl875,plain,
( ~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) )
| ( in @ ( sk__3 @ ( relation_restriction @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl245]) ).
thf(zip_derived_cl1288,plain,
~ ( relation @ ( relation_restriction @ sk__10 @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl1287,zip_derived_cl875]) ).
thf(zip_derived_cl1290,plain,
~ ( relation @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1288]) ).
thf(zip_derived_cl42_022,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1294,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1290,zip_derived_cl42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2OwpE4hd70 true
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Aug 23 19:37:41 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.47 % Total configuration time : 435
% 0.15/0.47 % Estimated wc time : 1092
% 0.15/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.70/0.82 % Solved by fo/fo3_bce.sh.
% 1.70/0.82 % BCE start: 50
% 1.70/0.82 % BCE eliminated: 2
% 1.70/0.82 % PE start: 48
% 1.70/0.82 logic: eq
% 1.70/0.82 % PE eliminated: 0
% 1.70/0.82 % done 228 iterations in 0.256s
% 1.70/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.70/0.82 % SZS output start Refutation
% See solution above
% 1.70/0.82
% 1.70/0.82
% 1.70/0.82 % Terminating...
% 2.83/0.90 % Runner terminated.
% 2.83/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------