%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN000_1 : TPTP v9.0.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:37:54 AM UTC 2025
% Result : Theorem 0.11s 0.35s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 18 ~; 1 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 5 !; 7 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_type,type,
p: $i > $o ).
tff(h_type,type,
h: $i ).
tff(1,plain,
^ [X: $i] :
refl(( ~ p(X)
<=> ~ p(X) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i] : ~ p(X)
<=> ! [X: $i] : ~ p(X) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [X: $i] : p(X)
<=> ~ ? [X: $i] : p(X) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
~ ? [X: $i] : p(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_conjecture) ).
tff(5,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[5,3]) ).
tff(7,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
^ [X: $i] : refl($oeq(~ p(X),~ p(X))),
inference(bind,[status(th)],[]) ).
tff(10,plain,
! [X: $i] : ~ p(X),
inference(nnf-neg,[status(sab)],[8,9]) ).
tff(11,plain,
! [X: $i] : ~ p(X),
inference(modus_ponens,[status(thm)],[10,2]) ).
tff(12,plain,
( p(h)
<=> p(h) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
p(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_hypothesis) ).
tff(14,plain,
p(h),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ ! [X: $i] : ~ p(X)
| ~ p(h) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
$false,
inference(unit_resolution,[status(thm)],[15,14,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYN000_1 : TPTP v9.0.0. Released v5.0.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n006.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Jun 20 12:25:20 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.35 % SZS status Theorem
% 0.11/0.35 % SZS output start Proof
% See solution above
% 0.11/0.35 % E exiting
%------------------------------------------------------------------------------