%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV968-1 : TPTP v9.0.0. Released v4.1.0.
% 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 05:36:24 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.48s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_WellTypeRT_OWTrt_type,type,
c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).
tff(v_U_____type,type,
v_U____: $i ).
tff(v_e_Ha_____type,type,
v_e_Ha____: $i ).
tff(v_E_____type,type,
v_E____: $i ).
tff(v_h_Ha_____type,type,
v_h_Ha____: $i ).
tff(v_P_type,type,
v_P: $i ).
tff(c_Type_Oty_OClass_type,type,
c_Type_Oty_OClass: $i > $i ).
tff(v_C_H_____type,type,
v_C_H____: $i ).
tff(1,plain,
( ( v_U____ = c_Type_Oty_OClass(v_C_H____) )
<=> ( v_U____ = c_Type_Oty_OClass(v_C_H____) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
v_U____ = c_Type_Oty_OClass(v_C_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UClass_0) ).
tff(3,plain,
v_U____ = c_Type_Oty_OClass(v_C_H____),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
inference(monotonicity,[status(thm)],[3]) ).
tff(5,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) ),
inference(symmetry,[status(thm)],[4]) ).
tff(6,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
<=> ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) ),
inference(monotonicity,[status(thm)],[5]) ).
tff(7,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
<=> ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(9,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wte_H_0) ).
tff(13,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
$false,
inference(unit_resolution,[status(thm)],[13,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWV968-1 : TPTP v9.0.0. Released v4.1.0.
% 0.09/0.12 % 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
% 0.12/0.33 % DateTime : Fri Jun 20 11:07:54 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % SZS status Unsatisfiable
% 0.19/0.48 % SZS output start Proof
% See solution above
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------