TSTP Solution File: SWW102+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8fv3bvqcvL true
% Computer : n018.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 : Fri Sep 1 01:41:03 EDT 2023
% Result : Theorem 2.12s 0.99s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 52
% Syntax : Number of formulae : 202 ( 53 unt; 26 typ; 0 def)
% Number of atoms : 359 ( 207 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 684 ( 159 ~; 150 |; 19 &; 342 @)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 102 !; 2 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_type,type,
d: $i > $o ).
thf(bool_type,type,
bool: $i > $o ).
thf(not2_type,type,
not2: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(true_type,type,
true: $i ).
thf(not1_type,type,
not1: $i > $i ).
thf(false_type,type,
false: $i ).
thf(forallprefers_type,type,
forallprefers: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(lazy_impl_type,type,
lazy_impl: $i > $i > $i ).
thf(impl_type,type,
impl: $i > $i > $i ).
thf(err_type,type,
err: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(phi_type,type,
phi: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(f7_type,type,
f7: $i > $i ).
thf(prop_type,type,
prop: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $o ).
thf(false2_type,type,
false2: $i ).
thf(def_phi,axiom,
! [X: $i] :
( ( ( d @ X )
& ( ( phi @ X )
= X ) )
| ( ~ ( d @ X )
& ( ( phi @ X )
= err ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_7: $i > $o ).
thf(zf_stmt_1,axiom,
! [X: $i] :
( ( zip_tseitin_7 @ X )
=> ( ( ( phi @ X )
= err )
& ~ ( d @ X ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_6: $i > $o ).
thf(zf_stmt_3,axiom,
! [X: $i] :
( ( zip_tseitin_6 @ X )
=> ( ( ( phi @ X )
= X )
& ( d @ X ) ) ) ).
thf(zf_stmt_4,axiom,
! [X: $i] :
( ( zip_tseitin_7 @ X )
| ( zip_tseitin_6 @ X ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( ( phi @ X0 )
= X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl39]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( d @ X0 )
| ~ ( zip_tseitin_7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl360,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(prop_true,axiom,
! [X: $i] :
( ( ( prop @ X )
= true )
<=> ( bool @ X ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( ( prop @ X0 )
= true )
| ~ ( bool @ X0 ) ),
inference(cnf,[status(esa)],[prop_true]) ).
thf(def_f7,axiom,
! [P: $i] :
( ( f7 @ P )
= ( lazy_impl @ ( prop @ P ) @ P ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( f7 @ X0 )
= ( lazy_impl @ ( prop @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[def_f7]) ).
thf(zip_derived_cl477,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= ( lazy_impl @ true @ X0 ) )
| ~ ( bool @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl84]) ).
thf(lazy_impl_axiom3,axiom,
! [B: $i] :
( ( lazy_impl @ true @ B )
= ( phi @ B ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( lazy_impl @ true @ X0 )
= ( phi @ X0 ) ),
inference(cnf,[status(esa)],[lazy_impl_axiom3]) ).
thf(zip_derived_cl479,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= ( phi @ X0 ) )
| ~ ( bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl54]) ).
thf(def_false2,axiom,
? [P: $i] :
( ~ ? [P1: $i] : ( forallprefers @ ( f7 @ P1 ) @ ( f7 @ P ) )
& ( false2
= ( phi @ ( f7 @ P ) ) ) ) ).
thf(zip_derived_cl85,plain,
( false2
= ( phi @ ( f7 @ sk__6 ) ) ),
inference(cnf,[status(esa)],[def_false2]) ).
thf(prop_false,axiom,
! [X: $i] :
( ( ( prop @ X )
= false )
<=> ~ ( bool @ X ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( ( prop @ X0 )
= false )
| ( bool @ X0 ) ),
inference(cnf,[status(esa)],[prop_false]) ).
thf(zip_derived_cl84_001,plain,
! [X0: $i] :
( ( f7 @ X0 )
= ( lazy_impl @ ( prop @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[def_f7]) ).
thf(zip_derived_cl478,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= ( lazy_impl @ false @ X0 ) )
| ( bool @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl84]) ).
thf(lazy_impl_axiom2,axiom,
! [B: $i] :
( ( lazy_impl @ false @ B )
= true ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( lazy_impl @ false @ X0 )
= true ),
inference(cnf,[status(esa)],[lazy_impl_axiom2]) ).
thf(zip_derived_cl480,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= true )
| ( bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl53]) ).
thf(zip_derived_cl85_002,plain,
( false2
= ( phi @ ( f7 @ sk__6 ) ) ),
inference(cnf,[status(esa)],[def_false2]) ).
thf(zip_derived_cl596,plain,
( ( false2
= ( phi @ true ) )
| ( bool @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl85]) ).
thf(zip_derived_cl479_003,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= ( phi @ X0 ) )
| ~ ( bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl54]) ).
thf(zip_derived_cl43_004,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( d @ X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl358,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= err )
| ~ ( zip_tseitin_7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl361,plain,
! [X0: $i] :
( ( d @ X0 )
| ( ( phi @ X0 )
= err ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl358,zip_derived_cl41]) ).
thf(zip_derived_cl85_005,plain,
( false2
= ( phi @ ( f7 @ sk__6 ) ) ),
inference(cnf,[status(esa)],[def_false2]) ).
thf(zip_derived_cl475,plain,
( ( false2 = err )
| ( d @ ( f7 @ sk__6 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl85]) ).
thf(zip_derived_cl360_006,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl85_007,plain,
( false2
= ( phi @ ( f7 @ sk__6 ) ) ),
inference(cnf,[status(esa)],[def_false2]) ).
thf(zip_derived_cl464,plain,
( ( false2
= ( f7 @ sk__6 ) )
| ~ ( d @ ( f7 @ sk__6 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl85]) ).
thf(zip_derived_cl868,plain,
( ( false2 = err )
| ( false2
= ( f7 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl464]) ).
thf(def_forallprefers,axiom,
! [X: $i,Y: $i] :
( ( forallprefers @ X @ Y )
<=> ( ( ( Y = true )
& ( X = false ) )
| ( ( bool @ Y )
& ~ ( bool @ X )
& ( d @ Y )
& ( d @ X ) )
| ( ( d @ Y )
& ~ ( d @ X ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_0 @ Y @ X )
<=> ( ( X = false )
& ( Y = true ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X0 != true )
| ( X1 != false ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zf_stmt_6,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_2 @ Y @ X )
<=> ( ~ ( d @ X )
& ( d @ Y ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_1 @ Y @ X )
<=> ( ( d @ X )
& ( d @ Y )
& ~ ( bool @ X )
& ( bool @ Y ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [X: $i,Y: $i] :
( ( forallprefers @ X @ Y )
<=> ( ( zip_tseitin_2 @ Y @ X )
| ( zip_tseitin_1 @ Y @ X )
| ( zip_tseitin_0 @ Y @ X ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( forallprefers @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl368,plain,
! [X0: $i,X1: $i] :
( ( X0 != false )
| ( X1 != true )
| ( forallprefers @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl23]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
~ ( forallprefers @ ( f7 @ X0 ) @ ( f7 @ sk__6 ) ),
inference(cnf,[status(esa)],[def_false2]) ).
thf(zip_derived_cl399,plain,
! [X0: $i] :
( ( ( f7 @ sk__6 )
!= true )
| ( ( f7 @ X0 )
!= false ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl368,zip_derived_cl86]) ).
thf(zip_derived_cl958,plain,
! [X0: $i] :
( ( false2 != true )
| ( false2 = err )
| ( ( f7 @ X0 )
!= false ) ),
inference('sup-',[status(thm)],[zip_derived_cl868,zip_derived_cl399]) ).
thf(zip_derived_cl967,plain,
! [X0: $i] :
( ( false2 != true )
| ( true = err )
| ( ( f7 @ X0 )
!= false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl958]) ).
thf(distinct_false_true_err,axiom,
( ( false != err )
& ( true != err )
& ( true != false ) ) ).
thf(zip_derived_cl4,plain,
true != err,
inference(cnf,[status(esa)],[distinct_false_true_err]) ).
thf(zip_derived_cl973,plain,
! [X0: $i] :
( ( false2 != true )
| ( ( f7 @ X0 )
!= false ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl967,zip_derived_cl4]) ).
thf(zip_derived_cl974,plain,
! [X0: $i] :
( ( ( phi @ X0 )
!= false )
| ~ ( bool @ X0 )
| ( false2 != true ) ),
inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl973]) ).
thf(zip_derived_cl1073,plain,
( ( false2 != false )
| ( bool @ sk__6 )
| ( false2 != true )
| ~ ( bool @ true ) ),
inference('sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl974]) ).
thf(not1_axiom3,axiom,
( ( not1 @ true )
= false ) ).
thf(zip_derived_cl89,plain,
( ( not1 @ true )
= false ),
inference(cnf,[status(esa)],[not1_axiom3]) ).
thf(not1_axiom1,axiom,
! [A: $i] :
( ~ ( bool @ A )
=> ( ( not1 @ A )
= ( phi @ A ) ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( ( not1 @ X0 )
= ( phi @ X0 ) )
| ( bool @ X0 ) ),
inference(cnf,[status(esa)],[not1_axiom1]) ).
thf(zip_derived_cl466,plain,
( ( false
= ( phi @ true ) )
| ( bool @ true ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl87]) ).
thf(zip_derived_cl360_008,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl492,plain,
( ( false = true )
| ( bool @ true )
| ~ ( d @ true ) ),
inference('sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl360]) ).
thf(false_true_err_in_d,axiom,
( ( d @ err )
& ( d @ false )
& ( d @ true ) ) ).
thf(zip_derived_cl8,plain,
d @ true,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl494,plain,
( ( false = true )
| ( bool @ true ) ),
inference(demod,[status(thm)],[zip_derived_cl492,zip_derived_cl8]) ).
thf(zip_derived_cl5,plain,
true != false,
inference(cnf,[status(esa)],[distinct_false_true_err]) ).
thf(zip_derived_cl495,plain,
bool @ true,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl494,zip_derived_cl5]) ).
thf(zip_derived_cl1083,plain,
( ( false2 != false )
| ( bool @ sk__6 )
| ( false2 != true ) ),
inference(demod,[status(thm)],[zip_derived_cl1073,zip_derived_cl495]) ).
thf(zip_derived_cl7,plain,
d @ false,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl360_009,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl974_010,plain,
! [X0: $i] :
( ( ( phi @ X0 )
!= false )
| ~ ( bool @ X0 )
| ( false2 != true ) ),
inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl973]) ).
thf(zip_derived_cl1069,plain,
! [X0: $i] :
( ( X0 != false )
| ~ ( d @ X0 )
| ( false2 != true )
| ~ ( bool @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl974]) ).
thf(def_bool,axiom,
! [X: $i] :
( ( bool @ X )
<=> ( ( X = false )
| ( X = true ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( bool @ X0 )
| ( X0 != false ) ),
inference(cnf,[status(esa)],[def_bool]) ).
thf(zip_derived_cl1095,plain,
! [X0: $i] :
( ( false2 != true )
| ~ ( d @ X0 )
| ( X0 != false ) ),
inference(clc,[status(thm)],[zip_derived_cl1069,zip_derived_cl1]) ).
thf(zip_derived_cl1101,plain,
( ( false != false )
| ( false2 != true ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1095]) ).
thf(zip_derived_cl1106,plain,
false2 != true,
inference(simplify,[status(thm)],[zip_derived_cl1101]) ).
thf(zip_derived_cl1179,plain,
( ( false2 != true )
| ( bool @ sk__6 ) ),
inference(clc,[status(thm)],[zip_derived_cl1083,zip_derived_cl1106]) ).
thf(zip_derived_cl596_011,plain,
( ( false2
= ( phi @ true ) )
| ( bool @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl85]) ).
thf(zip_derived_cl360_012,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl636,plain,
( ( false2 = true )
| ( bool @ sk__6 )
| ~ ( d @ true ) ),
inference('sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl360]) ).
thf(zip_derived_cl8_013,plain,
d @ true,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl640,plain,
( ( false2 = true )
| ( bool @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl8]) ).
thf(zip_derived_cl1180,plain,
bool @ sk__6,
inference(clc,[status(thm)],[zip_derived_cl1179,zip_derived_cl640]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( X0 = true )
| ( X0 = false )
| ~ ( bool @ X0 ) ),
inference(cnf,[status(esa)],[def_bool]) ).
thf(zip_derived_cl1182,plain,
( ( sk__6 = false )
| ( sk__6 = true ) ),
inference('sup-',[status(thm)],[zip_derived_cl1180,zip_derived_cl0]) ).
thf(zip_derived_cl7_014,plain,
d @ false,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl360_015,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl360_016,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl479_017,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= ( phi @ X0 ) )
| ~ ( bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl54]) ).
thf(zip_derived_cl479_018,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= ( phi @ X0 ) )
| ~ ( bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl54]) ).
thf(zip_derived_cl399_019,plain,
! [X0: $i] :
( ( ( f7 @ sk__6 )
!= true )
| ( ( f7 @ X0 )
!= false ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl368,zip_derived_cl86]) ).
thf(zip_derived_cl754,plain,
! [X0: $i] :
( ( ( phi @ sk__6 )
!= true )
| ~ ( bool @ sk__6 )
| ( ( f7 @ X0 )
!= false ) ),
inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl399]) ).
thf(zip_derived_cl480_020,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
= true )
| ( bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl53]) ).
thf(zip_derived_cl399_021,plain,
! [X0: $i] :
( ( ( f7 @ sk__6 )
!= true )
| ( ( f7 @ X0 )
!= false ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl368,zip_derived_cl86]) ).
thf(zip_derived_cl597,plain,
! [X0: $i] :
( ( true != true )
| ( bool @ sk__6 )
| ( ( f7 @ X0 )
!= false ) ),
inference('sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl399]) ).
thf(zip_derived_cl601,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
!= false )
| ( bool @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl597]) ).
thf(zip_derived_cl844,plain,
! [X0: $i] :
( ( ( f7 @ X0 )
!= false )
| ( ( phi @ sk__6 )
!= true ) ),
inference(clc,[status(thm)],[zip_derived_cl754,zip_derived_cl601]) ).
thf(zip_derived_cl845,plain,
! [X0: $i] :
( ( ( phi @ X0 )
!= false )
| ~ ( bool @ X0 )
| ( ( phi @ sk__6 )
!= true ) ),
inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl844]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i] :
( ( sk__6 != true )
| ~ ( d @ sk__6 )
| ~ ( bool @ X0 )
| ( ( phi @ X0 )
!= false ) ),
inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl845]) ).
thf(zip_derived_cl1147,plain,
! [X0: $i] :
( ( sk__6 != true )
| ~ ( d @ true )
| ~ ( bool @ X0 )
| ( ( phi @ X0 )
!= false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1141]) ).
thf(zip_derived_cl8_022,plain,
d @ true,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl1231,plain,
! [X0: $i] :
( ( sk__6 != true )
| ~ ( bool @ X0 )
| ( ( phi @ X0 )
!= false ) ),
inference(demod,[status(thm)],[zip_derived_cl1147,zip_derived_cl8]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i] :
( ( X0 != false )
| ~ ( d @ X0 )
| ~ ( bool @ X0 )
| ( sk__6 != true ) ),
inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl1231]) ).
thf(zip_derived_cl1_023,plain,
! [X0: $i] :
( ( bool @ X0 )
| ( X0 != false ) ),
inference(cnf,[status(esa)],[def_bool]) ).
thf(zip_derived_cl1253,plain,
! [X0: $i] :
( ( sk__6 != true )
| ~ ( d @ X0 )
| ( X0 != false ) ),
inference(clc,[status(thm)],[zip_derived_cl1234,zip_derived_cl1]) ).
thf(zip_derived_cl1260,plain,
( ( false != false )
| ( sk__6 != true ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1253]) ).
thf(zip_derived_cl1266,plain,
sk__6 != true,
inference(simplify,[status(thm)],[zip_derived_cl1260]) ).
thf(zip_derived_cl1272,plain,
( ( true != true )
| ( sk__6 = false ) ),
inference('sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl1266]) ).
thf(zip_derived_cl1273,plain,
sk__6 = false,
inference(simplify,[status(thm)],[zip_derived_cl1272]) ).
thf(zip_derived_cl1274,plain,
( false2
= ( phi @ ( f7 @ false ) ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl1273]) ).
thf(zip_derived_cl1304,plain,
( ( false2
= ( phi @ ( phi @ false ) ) )
| ~ ( bool @ false ) ),
inference('sup+',[status(thm)],[zip_derived_cl479,zip_derived_cl1274]) ).
thf(not1_axiom2,axiom,
( ( not1 @ false )
= true ) ).
thf(zip_derived_cl88,plain,
( ( not1 @ false )
= true ),
inference(cnf,[status(esa)],[not1_axiom2]) ).
thf(zip_derived_cl87_024,plain,
! [X0: $i] :
( ( ( not1 @ X0 )
= ( phi @ X0 ) )
| ( bool @ X0 ) ),
inference(cnf,[status(esa)],[not1_axiom1]) ).
thf(zip_derived_cl465,plain,
( ( true
= ( phi @ false ) )
| ( bool @ false ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl360_025,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl481,plain,
( ( true = false )
| ( bool @ false )
| ~ ( d @ false ) ),
inference('sup+',[status(thm)],[zip_derived_cl465,zip_derived_cl360]) ).
thf(zip_derived_cl7_026,plain,
d @ false,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl483,plain,
( ( true = false )
| ( bool @ false ) ),
inference(demod,[status(thm)],[zip_derived_cl481,zip_derived_cl7]) ).
thf(zip_derived_cl5_027,plain,
true != false,
inference(cnf,[status(esa)],[distinct_false_true_err]) ).
thf(zip_derived_cl484,plain,
bool @ false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl483,zip_derived_cl5]) ).
thf(zip_derived_cl1306,plain,
( false2
= ( phi @ ( phi @ false ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1304,zip_derived_cl484]) ).
thf(zip_derived_cl1341,plain,
( ( false2
= ( phi @ false ) )
| ~ ( d @ false ) ),
inference('sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl1306]) ).
thf(zip_derived_cl7_028,plain,
d @ false,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl1345,plain,
( false2
= ( phi @ false ) ),
inference(demod,[status(thm)],[zip_derived_cl1341,zip_derived_cl7]) ).
thf(zip_derived_cl360_029,plain,
! [X0: $i] :
( ( ( phi @ X0 )
= X0 )
| ~ ( d @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl357,zip_derived_cl42]) ).
thf(zip_derived_cl1354,plain,
( ( false2 = false )
| ~ ( d @ false ) ),
inference('sup+',[status(thm)],[zip_derived_cl1345,zip_derived_cl360]) ).
thf(zip_derived_cl7_030,plain,
d @ false,
inference(cnf,[status(esa)],[false_true_err_in_d]) ).
thf(zip_derived_cl1358,plain,
false2 = false,
inference(demod,[status(thm)],[zip_derived_cl1354,zip_derived_cl7]) ).
thf(def_not2,axiom,
! [P: $i] :
( ( not2 @ P )
= ( impl @ P @ false2 ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( not2 @ X0 )
= ( impl @ X0 @ false2 ) ),
inference(cnf,[status(esa)],[def_not2]) ).
thf(impl_axiom1,axiom,
! [A: $i,B: $i] :
( ~ ( bool @ A )
=> ( ( impl @ A @ B )
= ( phi @ A ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( bool @ X0 )
| ( ( impl @ X0 @ X1 )
= ( phi @ X0 ) ) ),
inference(cnf,[status(esa)],[impl_axiom1]) ).
thf(zip_derived_cl490,plain,
! [X0: $i] :
( ( ( not2 @ X0 )
= ( phi @ X0 ) )
| ( bool @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl48]) ).
thf(not1_not2,conjecture,
! [P: $i] :
( ( not1 @ P )
= ( not2 @ P ) ) ).
thf(zf_stmt_12,negated_conjecture,
~ ! [P: $i] :
( ( not1 @ P )
= ( not2 @ P ) ),
inference('cnf.neg',[status(esa)],[not1_not2]) ).
thf(zip_derived_cl91,plain,
( ( not1 @ sk__7 )
!= ( not2 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl531,plain,
( ( ( not1 @ sk__7 )
!= ( phi @ sk__7 ) )
| ( bool @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl91]) ).
thf(zip_derived_cl87_031,plain,
! [X0: $i] :
( ( ( not1 @ X0 )
= ( phi @ X0 ) )
| ( bool @ X0 ) ),
inference(cnf,[status(esa)],[not1_axiom1]) ).
thf(zip_derived_cl535,plain,
bool @ sk__7,
inference(clc,[status(thm)],[zip_derived_cl531,zip_derived_cl87]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i] :
( ( X0 = true )
| ( X0 = false )
| ~ ( bool @ X0 ) ),
inference(cnf,[status(esa)],[def_bool]) ).
thf(zip_derived_cl536,plain,
( ( sk__7 = false )
| ( sk__7 = true ) ),
inference('sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl0]) ).
thf(zip_derived_cl90_033,plain,
! [X0: $i] :
( ( not2 @ X0 )
= ( impl @ X0 @ false2 ) ),
inference(cnf,[status(esa)],[def_not2]) ).
thf(impl_axiom4,axiom,
! [B: $i] :
( ( bool @ B )
=> ( ( impl @ true @ B )
= B ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( ( impl @ true @ X0 )
= X0 )
| ~ ( bool @ X0 ) ),
inference(cnf,[status(esa)],[impl_axiom4]) ).
thf(zip_derived_cl476,plain,
( ( ( not2 @ true )
= false2 )
| ~ ( bool @ false2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl51]) ).
thf(zip_derived_cl536_034,plain,
( ( sk__7 = false )
| ( sk__7 = true ) ),
inference('sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl0]) ).
thf(zip_derived_cl91_035,plain,
( ( not1 @ sk__7 )
!= ( not2 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl538,plain,
( ( ( not1 @ sk__7 )
!= ( not2 @ true ) )
| ( sk__7 = false ) ),
inference('sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl91]) ).
thf(zip_derived_cl548,plain,
( ( ( not1 @ sk__7 )
!= false2 )
| ~ ( bool @ false2 )
| ( sk__7 = false ) ),
inference('sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl538]) ).
thf(zip_derived_cl552,plain,
( ( ( not1 @ true )
!= false2 )
| ( sk__7 = false )
| ( sk__7 = false )
| ~ ( bool @ false2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl548]) ).
thf(zip_derived_cl89_036,plain,
( ( not1 @ true )
= false ),
inference(cnf,[status(esa)],[not1_axiom3]) ).
thf(zip_derived_cl554,plain,
( ( false != false2 )
| ( sk__7 = false )
| ( sk__7 = false )
| ~ ( bool @ false2 ) ),
inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl89]) ).
thf(zip_derived_cl555,plain,
( ~ ( bool @ false2 )
| ( sk__7 = false )
| ( false != false2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl554]) ).
thf(zip_derived_cl556,plain,
( ~ ( bool @ false )
| ( sk__7 = false )
| ( false != false2 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl555]) ).
thf(zip_derived_cl484_037,plain,
bool @ false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl483,zip_derived_cl5]) ).
thf(zip_derived_cl557,plain,
( ( sk__7 = false )
| ( false != false2 ) ),
inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl484]) ).
thf(zip_derived_cl90_038,plain,
! [X0: $i] :
( ( not2 @ X0 )
= ( impl @ X0 @ false2 ) ),
inference(cnf,[status(esa)],[def_not2]) ).
thf(impl_axiom3,axiom,
! [B: $i] :
( ( bool @ B )
=> ( ( impl @ false @ B )
= true ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( ( impl @ false @ X0 )
= true )
| ~ ( bool @ X0 ) ),
inference(cnf,[status(esa)],[impl_axiom3]) ).
thf(zip_derived_cl527,plain,
( ( ( not2 @ false )
= true )
| ~ ( bool @ false2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl50]) ).
thf(zip_derived_cl557_039,plain,
( ( sk__7 = false )
| ( false != false2 ) ),
inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl484]) ).
thf(zip_derived_cl91_040,plain,
( ( not1 @ sk__7 )
!= ( not2 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl558,plain,
( ( ( not1 @ sk__7 )
!= ( not2 @ false ) )
| ( false != false2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl91]) ).
thf(zip_derived_cl566,plain,
( ( ( not1 @ sk__7 )
!= true )
| ~ ( bool @ false2 )
| ( false != false2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl558]) ).
thf(zip_derived_cl568,plain,
( ( ( not1 @ sk__7 )
!= true )
| ~ ( bool @ false )
| ( false != false2 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl484_041,plain,
bool @ false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl483,zip_derived_cl5]) ).
thf(zip_derived_cl569,plain,
( ( ( not1 @ sk__7 )
!= true )
| ( false != false2 ) ),
inference(demod,[status(thm)],[zip_derived_cl568,zip_derived_cl484]) ).
thf(zip_derived_cl572,plain,
( ( ( not1 @ false )
!= true )
| ( false != false2 )
| ( false != false2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl569]) ).
thf(zip_derived_cl88_042,plain,
( ( not1 @ false )
= true ),
inference(cnf,[status(esa)],[not1_axiom2]) ).
thf(zip_derived_cl575,plain,
( ( true != true )
| ( false != false2 )
| ( false != false2 ) ),
inference(demod,[status(thm)],[zip_derived_cl572,zip_derived_cl88]) ).
thf(zip_derived_cl576,plain,
false != false2,
inference(simplify,[status(thm)],[zip_derived_cl575]) ).
thf(zip_derived_cl1359,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1358,zip_derived_cl576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8fv3bvqcvL true
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 20:37:16 EDT 2023
% 0.24/0.37 % CPUTime :
% 0.24/0.37 % Running portfolio for 300 s
% 0.24/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.38 % Number of cores: 8
% 0.24/0.38 % Python version: Python 3.6.8
% 0.24/0.38 % Running in FO mode
% 0.24/0.71 % Total configuration time : 435
% 0.24/0.71 % Estimated wc time : 1092
% 0.24/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.50/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.12/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 2.12/0.99 % Solved by fo/fo3_bce.sh.
% 2.12/0.99 % BCE start: 92
% 2.12/0.99 % BCE eliminated: 0
% 2.12/0.99 % PE start: 92
% 2.12/0.99 logic: eq
% 2.12/0.99 % PE eliminated: 18
% 2.12/0.99 % done 210 iterations in 0.136s
% 2.12/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.12/0.99 % SZS output start Refutation
% See solution above
% 2.12/0.99
% 2.12/0.99
% 2.12/0.99 % Terminating...
% 2.67/1.15 % Runner terminated.
% 2.67/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------