%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET621+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PSS7zryPpF true
% Computer : n006.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 04:52:27 PM UTC 2025
% Result : Theorem 0.49s 0.69s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 128 ( 4 ~; 0 |; 0 &; 124 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(prove_th97,conjecture,
! [B: $i,C: $i,D: $i] :
( ( difference @ ( symmetric_difference @ B @ C ) @ D )
= ( union @ ( difference @ B @ ( union @ C @ D ) ) @ ( difference @ C @ ( union @ B @ D ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( difference @ ( symmetric_difference @ B @ C ) @ D )
= ( union @ ( difference @ B @ ( union @ C @ D ) ) @ ( difference @ C @ ( union @ B @ D ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_th97]) ).
thf(zip_derived_cl22,plain,
( ( difference @ ( symmetric_difference @ sk__2 @ sk__3 ) @ sk__4 )
!= ( union @ ( difference @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) @ ( difference @ sk__3 @ ( union @ sk__2 @ sk__4 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(difference_difference_union,axiom,
! [B: $i,C: $i,D: $i] :
( ( difference @ ( difference @ B @ C ) @ D )
= ( difference @ B @ ( union @ C @ D ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( difference @ ( difference @ X0 @ X1 ) @ X2 )
= ( difference @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_difference_union]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( difference @ ( difference @ X0 @ X1 ) @ X2 )
= ( difference @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_difference_union]) ).
thf(zip_derived_cl108,plain,
( ( difference @ ( symmetric_difference @ sk__2 @ sk__3 ) @ sk__4 )
!= ( union @ ( difference @ ( difference @ sk__2 @ sk__3 ) @ sk__4 ) @ ( difference @ ( difference @ sk__3 @ sk__2 ) @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl1,zip_derived_cl1]) ).
thf(difference_distributes_over_union,axiom,
! [B: $i,C: $i,D: $i] :
( ( difference @ ( union @ B @ C ) @ D )
= ( union @ ( difference @ B @ D ) @ ( difference @ C @ D ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( difference @ ( union @ X0 @ X2 ) @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_distributes_over_union]) ).
thf(symmetric_difference_defn,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(zip_derived_cl118,plain,
( ( difference @ ( symmetric_difference @ sk__2 @ sk__3 ) @ sk__4 )
!= ( difference @ ( symmetric_difference @ sk__2 @ sk__3 ) @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl119,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET621+3 : TPTP v9.2.0. Released v2.2.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PSS7zryPpF true
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:07:23 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.45/0.58 % Total configuration time : 435
% 0.45/0.58 % Estimated wc time : 1092
% 0.45/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.69 % Solved by fo/fo6_bce.sh.
% 0.49/0.69 % BCE start: 23
% 0.49/0.69 % BCE eliminated: 0
% 0.49/0.69 % PE start: 23
% 0.49/0.69 logic: eq
% 0.49/0.69 % PE eliminated: 0
% 0.49/0.69 % done 12 iterations in 0.013s
% 0.49/0.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.69 % SZS output start Refutation
% See solution above
% 0.49/0.69
% 0.49/0.69
% 0.49/0.69 % Terminating...
% 1.43/0.79 % Runner terminated.
% 1.47/0.80 % Zipperpin 1.5 exiting
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