TSTP Solution File: SWC375-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWC375-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Tue Sep 20 11:57:31 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 29 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 29 ~; 22 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(memberP_type,type,
memberP: ( $i * $i ) > $o ).
tff(sk5_type,type,
sk5: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(sk2_type,type,
sk2: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(1,plain,
( ( ~ memberP(sk3,sk5)
| ~ memberP(sk3,sk5) )
<=> ~ memberP(sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ memberP(sk2,sk5)
<=> ~ memberP(sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ~ memberP(sk1,sk5)
<=> ~ memberP(sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) )
<=> ( ~ memberP(sk3,sk5)
| ~ memberP(sk3,sk5) ) ),
inference(monotonicity,[status(thm)],[3,2]) ).
tff(5,plain,
( ( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) )
<=> ~ memberP(sk3,sk5) ),
inference(transitivity,[status(thm)],[4,1]) ).
tff(6,plain,
( ( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) )
<=> ( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( ( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) )
<=> ( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(8,axiom,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
tff(9,plain,
( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
~ memberP(sk3,sk5),
inference(modus_ponens,[status(thm)],[10,5]) ).
tff(12,plain,
( ( memberP(sk3,sk5)
| memberP(sk3,sk5) )
<=> memberP(sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
( memberP(sk1,sk5)
<=> memberP(sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
( memberP(sk2,sk5)
<=> memberP(sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ( memberP(sk2,sk5)
| memberP(sk1,sk5) )
<=> ( memberP(sk3,sk5)
| memberP(sk3,sk5) ) ),
inference(monotonicity,[status(thm)],[14,13]) ).
tff(16,plain,
( ( memberP(sk2,sk5)
| memberP(sk1,sk5) )
<=> memberP(sk3,sk5) ),
inference(transitivity,[status(thm)],[15,12]) ).
tff(17,plain,
( ( memberP(sk2,sk5)
| memberP(sk1,sk5) )
<=> ( memberP(sk2,sk5)
| memberP(sk1,sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
tff(19,plain,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
inference(modus_ponens,[status(thm)],[19,17]) ).
tff(21,plain,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
inference(modus_ponens,[status(thm)],[20,17]) ).
tff(22,plain,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
inference(modus_ponens,[status(thm)],[21,17]) ).
tff(23,plain,
memberP(sk3,sk5),
inference(modus_ponens,[status(thm)],[22,16]) ).
tff(24,plain,
$false,
inference(unit_resolution,[status(thm)],[23,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC375-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 00:28:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.42 % SZS status Unsatisfiable
% 0.19/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------