TSTP Solution File: SWV882-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV882-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 : Thu Sep 29 15:24:50 EDT 2022
% Result : Unsatisfiable 17.08s 11.34s
% Output : Proof 17.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 63
% Syntax : Number of formulae : 121 ( 28 unt; 19 typ; 0 def)
% Number of atoms : 453 ( 31 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 605 ( 281 ~; 272 |; 0 &)
% ( 52 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 27 ( 27 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 11 >; 16 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-5 aty)
% Number of variables : 336 ( 302 !; 0 ?; 336 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_lessequals_type,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(tc_fun_type,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool_type,type,
tc_bool: $i ).
tff(t_a_type,type,
t_a: $i ).
tff(c_Set_Oimage_type,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(tc_Com_Opname_type,type,
tc_Com_Opname: $i ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1_type,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_mgt__call_type,type,
v_mgt__call: $i ).
tff(v_G_type,type,
v_G: $i ).
tff(v_U_type,type,
v_U: $i ).
tff(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Set_Oinsert_type,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(hAPP_type,type,
hAPP: ( $i * $i ) > $i ).
tff(v_pn_type,type,
v_pn: $i ).
tff(c_Finite__Set_Ofinite_type,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(hBOOL_type,type,
hBOOL: $i > $o ).
tff(v_P_type,type,
v_P: $i ).
tff(c_in_type,type,
c_in: ( $i * $i * $i ) > $o ).
tff(class_Orderings_Obot_type,type,
class_Orderings_Obot: $i > $o ).
tff(1,plain,
( c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
<=> c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(3,plain,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
<=> c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(6,plain,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
refl(
( ( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
<=> ( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
<=> ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
<=> ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
trans(
monotonicity(
rewrite(
( ( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
<=> ( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) )),
( ( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
| ~ c_Finite__Set_Ofinite(V_A,T_a) )
<=> ( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
| ~ c_Finite__Set_Ofinite(V_A,T_a) ) )),
rewrite(
( ( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
| ~ c_Finite__Set_Ofinite(V_A,T_a) )
<=> ( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) )),
( ( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
| ~ c_Finite__Set_Ofinite(V_A,T_a) )
<=> ( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
| ~ c_Finite__Set_Ofinite(V_A,T_a) )
<=> ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
| ~ c_Finite__Set_Ofinite(V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj_0) ).
tff(13,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) )
<=> ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ( ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) )
<=> ( ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) )
<=> ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ) ),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
( ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) )
<=> ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ) ),
inference(transitivity,[status(thm)],[19,17]) ).
tff(21,plain,
( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(quant_inst,[status(thm)],]) ).
tff(22,plain,
( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_A,T_a)
| c_Finite__Set_Ofinite(V_B,T_b)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) )
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
c_Finite__Set_Ofinite(v_G,t_a),
inference(unit_resolution,[status(thm)],[22,16,6,3]) ).
tff(24,plain,
^ [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
refl(
( ( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
<=> ( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
<=> ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
<=> ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
^ [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
trans(
monotonicity(
rewrite(
( ( ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) )
<=> ( ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) )),
( ( ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ~ c_Finite__Set_Ofinite(V_B,T_a) )
<=> ( ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_Finite__Set_Ofinite(V_B,T_a) ) )),
rewrite(
( ( ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_Finite__Set_Ofinite(V_B,T_a) )
<=> ( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) )),
( ( ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ~ c_Finite__Set_Ofinite(V_B,T_a) )
<=> ( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ~ c_Finite__Set_Ofinite(V_B,T_a) )
<=> ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) )
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ~ c_Finite__Set_Ofinite(V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_2) ).
tff(30,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
( ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
| ~ c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ( v_G = c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a) ) )
<=> ( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
| ~ c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ( v_G = c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
| ~ c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ( v_G = c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
( ~ ! [T_b: $i,V_f: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_Finite__Set_Ofinite(V_B,T_a)
| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) ) )
| ~ c_Finite__Set_Ofinite(v_G,t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ( v_G = c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a) ) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
v_G = c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),
inference(unit_resolution,[status(thm)],[36,33,3,23]) ).
tff(38,plain,
c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a) = v_G,
inference(symmetry,[status(thm)],[37]) ).
tff(39,plain,
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
<=> c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ),
inference(monotonicity,[status(thm)],[38]) ).
tff(40,plain,
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool))
<=> c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
( ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool))
<=> ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
<=> ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
inference(rewrite,[status(thm)],]) ).
tff(43,axiom,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
tff(44,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
^ [V_ts: $i,V_G: $i] :
refl(
( ( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
<=> ( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ) )),
inference(bind,[status(th)],]) ).
tff(46,plain,
( ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
<=> ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
<=> ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,axiom,
! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
tff(49,plain,
! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
inference(skolemize,[status(sab)],[49]) ).
tff(51,plain,
! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[50,46]) ).
tff(52,plain,
( ( ~ ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
| hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) )
<=> ( ~ ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
| hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
( ~ ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
| hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
( ~ ! [V_ts: $i,V_G: $i] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) )
| hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(unit_resolution,[status(thm)],[54,51,44]) ).
tff(56,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(modus_ponens,[status(thm)],[55,41]) ).
tff(57,plain,
( c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a)
<=> c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(monotonicity,[status(thm)],[38]) ).
tff(58,plain,
( c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
<=> c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a) ),
inference(symmetry,[status(thm)],[57]) ).
tff(59,plain,
( c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
<=> c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(rewrite,[status(thm)],]) ).
tff(60,axiom,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tff(61,plain,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a),
inference(modus_ponens,[status(thm)],[61,58]) ).
tff(63,plain,
^ [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
refl(
( ( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
<=> ( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) )),
inference(bind,[status(th)],]) ).
tff(64,plain,
( ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
<=> ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,plain,
( ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
<=> ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
^ [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
trans(
monotonicity(
rewrite(
( ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) )
<=> ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) )),
( ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) )
<=> ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) ) )),
rewrite(
( ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) )
<=> ( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) )),
( ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) )
<=> ( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) )),
inference(bind,[status(th)],]) ).
tff(67,plain,
( ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) )
<=> ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,axiom,
! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
tff(69,plain,
! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[69,65]) ).
tff(71,plain,
! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
inference(skolemize,[status(sab)],[70]) ).
tff(72,plain,
! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[71,64]) ).
tff(73,plain,
( ( ~ ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
| ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) )
<=> ( ~ ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
| ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
( ~ ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
| ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(quant_inst,[status(thm)],]) ).
tff(75,plain,
( ~ ! [V_x: $i,T_a: $i,V_B: $i,V_A: $i] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) )
| ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
( ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(unit_resolution,[status(thm)],[75,72]) ).
tff(77,plain,
~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(unit_resolution,[status(thm)],[76,62,56]) ).
tff(78,plain,
( class_Orderings_Obot(tc_bool)
<=> class_Orderings_Obot(tc_bool) ),
inference(rewrite,[status(thm)],]) ).
tff(79,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
tff(80,plain,
class_Orderings_Obot(tc_bool),
inference(modus_ponens,[status(thm)],[79,78]) ).
tff(81,plain,
^ [T_1: $i,T_2: $i] :
refl(
( ( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
<=> ( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ) )),
inference(bind,[status(th)],]) ).
tff(82,plain,
( ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
<=> ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ) ),
inference(quant_intro,[status(thm)],[81]) ).
tff(83,plain,
( ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
<=> ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(84,axiom,
! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
tff(85,plain,
! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ),
inference(skolemize,[status(sab)],[85]) ).
tff(87,plain,
! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ),
inference(modus_ponens,[status(thm)],[86,82]) ).
tff(88,plain,
( ( ~ ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
| class_Orderings_Obot(tc_fun(t_a,tc_bool))
| ~ class_Orderings_Obot(tc_bool) )
<=> ( ~ ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
| class_Orderings_Obot(tc_fun(t_a,tc_bool))
| ~ class_Orderings_Obot(tc_bool) ) ),
inference(rewrite,[status(thm)],]) ).
tff(89,plain,
( ~ ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
| class_Orderings_Obot(tc_fun(t_a,tc_bool))
| ~ class_Orderings_Obot(tc_bool) ),
inference(quant_inst,[status(thm)],]) ).
tff(90,plain,
( ~ ! [T_1: $i,T_2: $i] :
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) )
| class_Orderings_Obot(tc_fun(t_a,tc_bool))
| ~ class_Orderings_Obot(tc_bool) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
class_Orderings_Obot(tc_fun(t_a,tc_bool)),
inference(unit_resolution,[status(thm)],[90,87,80]) ).
tff(92,plain,
^ [V_x: $i,T_a: $i] :
refl(
( ( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
<=> ( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) )),
inference(bind,[status(th)],]) ).
tff(93,plain,
( ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
<=> ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ),
inference(quant_intro,[status(thm)],[92]) ).
tff(94,plain,
( ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
<=> ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ),
inference(rewrite,[status(thm)],]) ).
tff(95,axiom,
! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
tff(96,plain,
! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ),
inference(modus_ponens,[status(thm)],[95,94]) ).
tff(97,plain,
! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ),
inference(skolemize,[status(sab)],[96]) ).
tff(98,plain,
! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ),
inference(modus_ponens,[status(thm)],[97,93]) ).
tff(99,plain,
( ( ~ ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
| ~ class_Orderings_Obot(tc_fun(t_a,tc_bool))
| c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) )
<=> ( ~ ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
| ~ class_Orderings_Obot(tc_fun(t_a,tc_bool))
| c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(100,plain,
( ~ ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
| ~ class_Orderings_Obot(tc_fun(t_a,tc_bool))
| c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(quant_inst,[status(thm)],]) ).
tff(101,plain,
( ~ ! [V_x: $i,T_a: $i] :
( ~ class_Orderings_Obot(T_a)
| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) )
| ~ class_Orderings_Obot(tc_fun(t_a,tc_bool))
| c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
$false,
inference(unit_resolution,[status(thm)],[101,98,91,77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV882-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 09:08:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 17.08/11.34 % SZS status Unsatisfiable
% 17.08/11.34 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------