%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN951+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:41:03 AM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 98 ( 17 ~; 12 |; 22 &)
% ( 17 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 6 ( 4 usr; 5 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 20 ( 0 !; 20 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(q_type,type,
q: $o ).
tff(b_type,type,
b: $o ).
tff(a_type,type,
a: $o ).
tff(p_type,type,
p: $i > $o ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ( ? [X: $i] : p(X)
=> ? [X: $i] : p(X) )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(3,plain,
( ( ? [X: $i] : p(X)
& $true )
<=> ? [X: $i] : p(X) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ( a
=> $true )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( $true
& $true )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ( q
=> q )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ( b
| ~ b )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
( ( ( b
| ~ b )
& ( q
=> q ) )
<=> ( $true
& $true ) ),
inference(monotonicity,[status(thm)],[7,6]) ).
tff(9,plain,
( ( ( b
| ~ b )
& ( q
=> q ) )
<=> $true ),
inference(transitivity,[status(thm)],[8,5]) ).
tff(10,plain,
( ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) )
<=> ( a
=> $true ) ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) )
<=> $true ),
inference(transitivity,[status(thm)],[10,4]) ).
tff(12,plain,
( ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) )
<=> ( ? [X: $i] : p(X)
& $true ) ),
inference(monotonicity,[status(thm)],[11]) ).
tff(13,plain,
( ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) )
<=> ? [X: $i] : p(X) ),
inference(transitivity,[status(thm)],[12,3]) ).
tff(14,plain,
( ( ? [X: $i] : p(X)
=> ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) )
<=> ( ? [X: $i] : p(X)
=> ? [X: $i] : p(X) ) ),
inference(monotonicity,[status(thm)],[13]) ).
tff(15,plain,
( ( ? [X: $i] : p(X)
=> ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) )
<=> $true ),
inference(transitivity,[status(thm)],[14,2]) ).
tff(16,plain,
( ~ ( ? [X: $i] : p(X)
=> ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[15]) ).
tff(17,plain,
( ~ ( ? [X: $i] : p(X)
=> ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) )
<=> $false ),
inference(transitivity,[status(thm)],[16,1]) ).
tff(18,axiom,
~ ( ? [X: $i] : p(X)
=> ( ? [X: $i] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(19,plain,
$false,
inference(modus_ponens,[status(thm)],[18,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN951+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 20 13:03:05 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 % SZS output start Proof
% See solution above
% 0.12/0.35 % E exiting
%------------------------------------------------------------------------------