TSTP Solution File: SET684^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET684^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rCKFnajYGC true
% Computer : n022.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 16:15:35 EDT 2023
% Result : Theorem 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 14 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 72 ( 2 ~; 0 |; 10 &; 50 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 1 usr; 3 con; 0-4 aty)
% ( 4 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 38 ( 18 ^; 12 !; 8 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_composition_type,type,
rel_composition: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $o ).
thf(rel_composition,axiom,
( rel_composition
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o,X: $i,Z: $i] :
? [Y: $i] :
( ( R2 @ Y @ Z )
& ( R1 @ X @ Y ) ) ) ) ).
thf('0',plain,
( rel_composition
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o,X: $i,Z: $i] :
? [Y: $i] :
( ( R2 @ Y @ Z )
& ( R1 @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[rel_composition]) ).
thf('1',plain,
( rel_composition
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o,V_3: $i,V_4: $i] :
? [X4: $i] :
( ( V_2 @ X4 @ V_4 )
& ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [P: $i > $i > $o,R: $i > $i > $o,X: $i,Z: $i] :
( ( rel_composition @ P @ R @ X @ Z )
<=> ? [Y: $i] :
( ( R @ Y @ Z )
& ( P @ X @ Y ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $i > $o,X8: $i,X10: $i] :
( ? [X12: $i] :
( ( X4 @ X8 @ X12 )
& ( X6 @ X12 @ X10 ) )
<=> ? [X14: $i] :
( ( X4 @ X8 @ X14 )
& ( X6 @ X14 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $i > $o,X8: $i,X10: $i] :
( ? [X12: $i] :
( ( X4 @ X8 @ X12 )
& ( X6 @ X12 @ X10 ) )
<=> ? [X14: $i] :
( ( X4 @ X8 @ X14 )
& ( X6 @ X14 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $i > $o] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ??
@ ^ [Y4: $i] :
( ( Y0 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) ) )
<=> ( ??
@ ^ [Y4: $i] :
( ( Y0 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET684^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rCKFnajYGC true
% 0.13/0.34 % Computer : n022.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 : Sat Aug 26 13:51:10 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
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % Solved by lams/35_full_unif4.sh.
% 0.20/0.78 % done 0 iterations in 0.011s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% See solution above
% 0.20/0.78
% 0.20/0.78
% 0.20/0.78 % Terminating...
% 1.17/0.84 % Runner terminated.
% 1.17/0.85 % Zipperpin 1.5 exiting
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