TSTP Solution File: SWC040-1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWC040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 11:54:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 66 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 23 ~; 11 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(sk3_type,type,
sk3: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(nil_type,type,
nil: $i ).
tff(sk2_type,type,
sk2: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( sk3 = sk3 )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ( ( sk4 = sk3 )
| $false )
<=> ( sk4 = sk3 ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ( sk4 = sk4 )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
( ( sk2 = sk4 )
<=> ( sk2 = sk4 ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
tff(7,plain,
sk2 = sk4,
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
( ( nil = sk2 )
<=> ( nil = sk2 ) ),
inference(rewrite,[status(thm)],]) ).
tff(9,axiom,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
tff(10,plain,
nil = sk2,
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
nil = sk4,
inference(transitivity,[status(thm)],[10,7]) ).
tff(12,plain,
( ( nil = sk4 )
<=> ( sk4 = sk4 ) ),
inference(monotonicity,[status(thm)],[11]) ).
tff(13,plain,
( ( nil = sk4 )
<=> $true ),
inference(transitivity,[status(thm)],[12,4]) ).
tff(14,plain,
( ( nil != sk4 )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[13]) ).
tff(15,plain,
( ( nil != sk4 )
<=> $false ),
inference(transitivity,[status(thm)],[14,1]) ).
tff(16,plain,
( ( nil = sk3 )
<=> ( sk4 = sk3 ) ),
inference(rewrite,[status(thm)],]) ).
tff(17,plain,
( ( ( nil = sk3 )
| ( nil != sk4 ) )
<=> ( ( sk4 = sk3 )
| $false ) ),
inference(monotonicity,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ( nil = sk3 )
| ( nil != sk4 ) )
<=> ( sk4 = sk3 ) ),
inference(transitivity,[status(thm)],[17,3]) ).
tff(19,plain,
( ( ( nil = sk3 )
| ( nil != sk4 ) )
<=> ( ( nil = sk3 )
| ( nil != sk4 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,axiom,
( ( nil = sk3 )
| ( nil != sk4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
tff(21,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(modus_ponens,[status(thm)],[21,19]) ).
tff(23,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(modus_ponens,[status(thm)],[22,19]) ).
tff(24,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(modus_ponens,[status(thm)],[23,19]) ).
tff(25,plain,
sk4 = sk3,
inference(modus_ponens,[status(thm)],[24,18]) ).
tff(26,plain,
( ( sk4 = sk3 )
<=> ( sk3 = sk3 ) ),
inference(monotonicity,[status(thm)],[25]) ).
tff(27,plain,
( ( sk4 = sk3 )
<=> $true ),
inference(transitivity,[status(thm)],[26,2]) ).
tff(28,plain,
( ( sk4 != sk3 )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[27]) ).
tff(29,plain,
( ( sk4 != sk3 )
<=> $false ),
inference(transitivity,[status(thm)],[28,1]) ).
tff(30,plain,
( ( nil != sk1 )
<=> ( sk4 != sk3 ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
( ( nil != sk1 )
<=> ( nil != sk1 ) ),
inference(rewrite,[status(thm)],]) ).
tff(32,axiom,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
tff(33,plain,
nil != sk1,
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
sk4 != sk3,
inference(modus_ponens,[status(thm)],[33,30]) ).
tff(35,plain,
$false,
inference(modus_ponens,[status(thm)],[34,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 21:15:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------