%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN063-2 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 : Sat Jun 21 05:38:06 AM UTC 2025
% Result : Unsatisfiable 0.21s 0.37s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 4 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(big_p_type,type,
big_p: $i > $o ).
tff(a_type,type,
a: $i ).
tff(c_type,type,
c: $i ).
tff(1,plain,
( big_p(a)
<=> big_p(a) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel33_2) ).
tff(3,plain,
big_p(a),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ~ big_p(c)
<=> ~ big_p(c) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
~ big_p(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel33_3) ).
tff(6,plain,
~ big_p(c),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( ( big_p(c)
| ~ big_p(a) )
<=> ( big_p(c)
| ~ big_p(a) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
( big_p(c)
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel33_1) ).
tff(9,plain,
( big_p(c)
| ~ big_p(a) ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
$false,
inference(unit_resolution,[status(thm)],[9,6,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SYN063-2 : TPTP v9.0.0. Released v1.2.0.
% 0.13/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n016.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 12:27:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.21/0.37 % SZS status Unsatisfiable
% 0.21/0.37 % SZS output start Proof
% See solution above
% 0.21/0.37 % E exiting
%------------------------------------------------------------------------------