%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LAT388+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:14:37 AM UTC 2025
% Result : Theorem 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 18 ~; 1 |; 1 &)
% ( 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 5 !; 7 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(aSupremumOfIn0_type,type,
aSupremumOfIn0: ( $i * $i * $i ) > $o ).
tff(xS_type,type,
xS: $i ).
tff(xT_type,type,
xT: $i ).
tff(xp_type,type,
xp: $i ).
tff(aFixedPointOf0_type,type,
aFixedPointOf0: ( $i * $i ) > $o ).
tff(xf_type,type,
xf: $i ).
tff(1,plain,
^ [W0: $i] :
refl(( ~ aSupremumOfIn0(W0,xT,xS)
<=> ~ aSupremumOfIn0(W0,xT,xS) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [W0: $i] : ~ aSupremumOfIn0(W0,xT,xS)
<=> ! [W0: $i] : ~ aSupremumOfIn0(W0,xT,xS) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS)
<=> ~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(5,plain,
~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS),
inference(modus_ponens,[status(thm)],[5,3]) ).
tff(7,plain,
~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [W0: $i] : aSupremumOfIn0(W0,xT,xS),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
^ [W0: $i] : refl($oeq(~ aSupremumOfIn0(W0,xT,xS),~ aSupremumOfIn0(W0,xT,xS))),
inference(bind,[status(th)],[]) ).
tff(10,plain,
! [W0: $i] : ~ aSupremumOfIn0(W0,xT,xS),
inference(nnf-neg,[status(sab)],[8,9]) ).
tff(11,plain,
! [W0: $i] : ~ aSupremumOfIn0(W0,xT,xS),
inference(modus_ponens,[status(thm)],[10,2]) ).
tff(12,plain,
( aSupremumOfIn0(xp,xT,xS)
<=> aSupremumOfIn0(xp,xT,xS) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
( aFixedPointOf0(xp,xf)
& aSupremumOfIn0(xp,xT,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1330) ).
tff(14,plain,
aSupremumOfIn0(xp,xT,xS),
inference(and_elim,[status(thm)],[13]) ).
tff(15,plain,
aSupremumOfIn0(xp,xT,xS),
inference(modus_ponens,[status(thm)],[14,12]) ).
tff(16,plain,
( ~ ! [W0: $i] : ~ aSupremumOfIn0(W0,xT,xS)
| ~ aSupremumOfIn0(xp,xT,xS) ),
inference(quant_inst,[status(thm)],[]) ).
tff(17,plain,
$false,
inference(unit_resolution,[status(thm)],[16,15,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT388+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.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
% 0.12/0.34 % DateTime : Thu Jun 19 20:51:39 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 % SZS output start Proof
% See solution above
% 0.20/0.39 % E exiting
%------------------------------------------------------------------------------