%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV848-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 05:36:13 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 13 ~; 1 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_Com_Ocom_OSKIP_type,type,
c_Com_Ocom_OSKIP: $i ).
tff(c_Com_Ocom_OWhile_type,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(v_c_type,type,
v_c: $i ).
tff(v_b_type,type,
v_b: $i ).
tff(1,plain,
( ( c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c) )
<=> ( c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(3,plain,
c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
c_Com_Ocom_OWhile(v_b,v_c) = c_Com_Ocom_OSKIP,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
^ [V_com_H: $i,V_fun_H: $i] :
refl(( ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP )
<=> ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP )
<=> ! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,plain,
( ! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP )
<=> ! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I17_J_0) ).
tff(9,plain,
! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
( ~ ! [V_com_H: $i,V_fun_H: $i] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP )
| ( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OSKIP ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
$false,
inference(unit_resolution,[status(thm)],[12,11,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV848-1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.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 10:58:27 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.50 % SZS status Unsatisfiable
% 0.20/0.50 % SZS output start Proof
% See solution above
% 0.20/0.51 % E exiting
%------------------------------------------------------------------------------