%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW478+2 : TPTP v9.0.0. Released v5.3.0.
% 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 05:37:14 AM UTC 2025
% Result : Theorem 0.20s 0.60s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of formulae : 3 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 3 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 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 : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(hBOOL_type,type,
hBOOL: $i > $o ).
tff(member773094996on_val_type,type,
member773094996on_val: ( $i * $i ) > $i ).
tff(red_type,type,
red: $i > $i ).
tff(p_type,type,
p: $i ).
tff(hAPP_P1886180715on_val_type,type,
hAPP_P1886180715on_val: ( $i * $i ) > $i ).
tff(hAPP_P604205461on_val_type,type,
hAPP_P604205461on_val: ( $i * $i ) > $i ).
tff(hAPP_f1727192346on_val_type,type,
hAPP_f1727192346on_val: ( $i * $i ) > $i ).
tff(l_a_type,type,
l_a: $i ).
tff(hAPP_f1849790461on_val_type,type,
hAPP_f1849790461on_val: ( $i * $i ) > $i ).
tff(h_a_type,type,
h_a: $i ).
tff(produc899768717on_val_type,type,
produc899768717on_val: $i ).
tff(hAPP_e1659493427on_val_type,type,
hAPP_e1659493427on_val: ( $i * $i ) > $i ).
tff(e_a_type,type,
e_a: $i ).
tff(produc1259058957on_val_type,type,
produc1259058957on_val: $i ).
tff(hAPP_P1870962205on_val_type,type,
hAPP_P1870962205on_val: ( $i * $i ) > $i ).
tff(fun_up1149430426on_val_type,type,
fun_up1149430426on_val: ( $i * $i * $i ) > $i ).
tff(hAPP_val_option_val_type,type,
hAPP_val_option_val: ( $i * $i ) > $i ).
tff(v_type,type,
v: $i ).
tff(some_val_type,type,
some_val: $i ).
tff(v_1_type,type,
v_1: $i ).
tff(la_type,type,
la: $i ).
tff(ha_type,type,
ha: $i ).
tff(ea_type,type,
ea: $i ).
tff(produc1441475159on_val_type,type,
produc1441475159on_val: $i ).
tff(1,axiom,
~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(2,axiom,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
tff(3,plain,
$false,
inference(unit_resolution,[status(thm)],[2,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW478+2 : TPTP v9.0.0. Released v5.3.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.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
% 0.12/0.33 % DateTime : Fri Jun 20 12:01:20 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.60 % SZS status Theorem
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.60 % E exiting
%------------------------------------------------------------------------------