%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW970+1 : TPTP v9.0.0. Released v7.4.0.
% 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 05:37:44 AM UTC 2025
% Result : Theorem 0.70s 0.90s
% Output : Proof 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 35
% Syntax : Number of formulae : 80 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 457 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 576 ( 240 ~; 210 |; 60 &)
% ( 51 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 41 ( 41 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 150 ( 132 !; 0 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_eq_bitstring_bitstring_type,type,
pred_eq_bitstring_bitstring: ( $i * $i ) > $o ).
tff(constr_tuple_3_get_0x30_type,type,
constr_tuple_3_get_0x30: $i > $i ).
tff(constr_cbc_dec_3_type,type,
constr_cbc_dec_3: ( $i * $i ) > $i ).
tff(name_Kbs_type,type,
name_Kbs: $i ).
tff(tuple_3_type,type,
tuple_3: ( $i * $i * $i ) > $i ).
tff(constr_CONST_1_type,type,
constr_CONST_1: $i ).
tff(name_A_type,type,
name_A: $i ).
tff(pred_attacker_type,type,
pred_attacker: $i > $o ).
tff(tuple_client_B_in_1_type,type,
tuple_client_B_in_1: $i > $i ).
tff(tuple_client_B_out_2_type,type,
tuple_client_B_out_2: $i > $i ).
tff(name_objective_type,type,
name_objective: $i ).
tff(1,plain,
^ [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
refl(( ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
<=> ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
<=> ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
<=> ~ ( ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
( ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
<=> ~ ~ ( ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
rewrite(( ~ ~ ( ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
<=> ( ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
( ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
<=> ( ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
( ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) )
<=> ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
rewrite(( ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
<=> ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
( ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) )
<=> ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) )),
inference(bind,[status(th)],[]) ).
tff(4,plain,
( ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) )
<=> ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) )
<=> ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
^ [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
trans(monotonicity(rewrite(( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
<=> ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) )),
( ( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
=> pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) )
<=> ( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
=> pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) ) )),
rewrite(( ( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
=> pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) )
<=> ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ) )),
( ( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
=> pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) )
<=> ( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ) )),
inference(bind,[status(th)],[]) ).
tff(7,plain,
( ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
=> pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) )
<=> ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,axiom,
! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) )
=> pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
tff(9,plain,
! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ ( pred_attacker(VAR_V_231)
& pred_attacker(VAR_V_232)
& pred_attacker(VAR_V_233) ) ),
inference(skolemize,[status(sab)],[10]) ).
tff(12,plain,
! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ),
inference(modus_ponens,[status(thm)],[11,4]) ).
tff(13,plain,
! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) ),
inference(modus_ponens,[status(thm)],[12,2]) ).
tff(14,plain,
( pred_attacker(constr_CONST_1)
<=> pred_attacker(constr_CONST_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,axiom,
pred_attacker(constr_CONST_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
tff(16,plain,
pred_attacker(constr_CONST_1),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
( ( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)) )
<=> ( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
( ( pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1) )
<=> ( ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,plain,
( ( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1) )
<=> ( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)) ) ),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
( ( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1) )
<=> ( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)) ) ),
inference(transitivity,[status(thm)],[19,17]) ).
tff(21,plain,
( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1)
| ~ pred_attacker(constr_CONST_1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(22,plain,
( ~ ! [VAR_V_231: $i,VAR_V_232: $i,VAR_V_233: $i] :
( pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233))
| ~ pred_attacker(VAR_V_233)
| ~ pred_attacker(VAR_V_232)
| ~ pred_attacker(VAR_V_231) )
| ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)),
inference(unit_resolution,[status(thm)],[22,16,13]) ).
tff(24,plain,
^ [VAR_V_115: $i] :
refl(( ( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
<=> ( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ) )),
inference(bind,[status(th)],[]) ).
tff(25,plain,
( ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
<=> ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
<=> ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
^ [VAR_V_115: $i] :
rewrite(( ( pred_attacker(VAR_V_115)
=> pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
<=> ( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ) )),
inference(bind,[status(th)],[]) ).
tff(28,plain,
( ! [VAR_V_115: $i] :
( pred_attacker(VAR_V_115)
=> pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
<=> ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [VAR_V_115: $i] :
( pred_attacker(VAR_V_115)
=> pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
tff(30,plain,
! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
( ( ~ ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
| ~ pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))) )
<=> ( ~ ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
| ~ pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
( ~ ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
| ~ pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(36,plain,
( ~ ! [VAR_V_115: $i] :
( ~ pred_attacker(VAR_V_115)
| pred_attacker(tuple_client_B_in_1(VAR_V_115)) )
| ~ pred_attacker(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))
| pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1))),
inference(unit_resolution,[status(thm)],[36,33,23]) ).
tff(38,plain,
( ~ pred_attacker(name_objective)
<=> ~ pred_attacker(name_objective) ),
inference(rewrite,[status(thm)],[]) ).
tff(39,axiom,
~ pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
tff(40,plain,
~ pred_attacker(name_objective),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
^ [VAR_V_112: $i] :
refl(( ( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
<=> ( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ) )),
inference(bind,[status(th)],[]) ).
tff(42,plain,
( ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
<=> ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
( ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
<=> ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
^ [VAR_V_112: $i] :
rewrite(( ( pred_attacker(tuple_client_B_out_2(VAR_V_112))
=> pred_attacker(VAR_V_112) )
<=> ( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ) )),
inference(bind,[status(th)],[]) ).
tff(45,plain,
( ! [VAR_V_112: $i] :
( pred_attacker(tuple_client_B_out_2(VAR_V_112))
=> pred_attacker(VAR_V_112) )
<=> ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ) ),
inference(quant_intro,[status(thm)],[44]) ).
tff(46,axiom,
! [VAR_V_112: $i] :
( pred_attacker(tuple_client_B_out_2(VAR_V_112))
=> pred_attacker(VAR_V_112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
tff(47,plain,
! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
( ( ~ ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
| pred_attacker(name_objective)
| ~ pred_attacker(tuple_client_B_out_2(name_objective)) )
<=> ( ~ ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
| pred_attacker(name_objective)
| ~ pred_attacker(tuple_client_B_out_2(name_objective)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,plain,
( ~ ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
| pred_attacker(name_objective)
| ~ pred_attacker(tuple_client_B_out_2(name_objective)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(53,plain,
( ~ ! [VAR_V_112: $i] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) )
| pred_attacker(name_objective)
| ~ pred_attacker(tuple_client_B_out_2(name_objective)) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
~ pred_attacker(tuple_client_B_out_2(name_objective)),
inference(unit_resolution,[status(thm)],[53,50,40]) ).
tff(55,plain,
^ [VAR_ENC_A_KAB_T_330X30: $i] :
refl(( ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
<=> ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
inference(bind,[status(th)],[]) ).
tff(56,plain,
( ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
<=> ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
^ [VAR_ENC_A_KAB_T_330X30: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) )
<=> ~ ( ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
( ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) )
<=> ~ ~ ( ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
rewrite(( ~ ~ ( ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
<=> ( ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
( ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) )
<=> ( ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
( ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) )
<=> ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
rewrite(( ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
<=> ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
( ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) )
<=> ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) )),
inference(bind,[status(th)],[]) ).
tff(58,plain,
( ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) )
<=> ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) ),
inference(quant_intro,[status(thm)],[57]) ).
tff(59,plain,
( ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) )
<=> ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,plain,
^ [VAR_ENC_A_KAB_T_330X30: $i] :
rewrite(( ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) )
=> pred_attacker(tuple_client_B_out_2(name_objective)) )
<=> ( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) ) )),
inference(bind,[status(th)],[]) ).
tff(61,plain,
( ! [VAR_ENC_A_KAB_T_330X30: $i] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) )
=> pred_attacker(tuple_client_B_out_2(name_objective)) )
<=> ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) ) ),
inference(quant_intro,[status(thm)],[60]) ).
tff(62,axiom,
! [VAR_ENC_A_KAB_T_330X30: $i] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) )
=> pred_attacker(tuple_client_B_out_2(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
tff(63,plain,
! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) ),
inference(modus_ponens,[status(thm)],[63,59]) ).
tff(65,plain,
! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) ),
inference(skolemize,[status(sab)],[64]) ).
tff(66,plain,
! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ),
inference(modus_ponens,[status(thm)],[65,58]) ).
tff(67,plain,
! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ),
inference(modus_ponens,[status(thm)],[66,56]) ).
tff(68,plain,
( ( ~ ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
| pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1),name_Kbs))) )
<=> ( ~ ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
| pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1),name_Kbs))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
( ~ ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
| pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1),name_Kbs))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(70,plain,
( ~ ! [VAR_ENC_A_KAB_T_330X30: $i] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
| pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1),name_Kbs))) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1),name_Kbs))),
inference(unit_resolution,[status(thm)],[70,67,54,37]) ).
tff(72,plain,
^ [VAR_X_67: $i,VAR_Y_68: $i] :
refl(( pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68)
<=> pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68) )),
inference(bind,[status(th)],[]) ).
tff(73,plain,
( ! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68)
<=> ! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68)
<=> ! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,axiom,
! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
tff(76,plain,
! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68),
inference(skolemize,[status(sab)],[76]) ).
tff(78,plain,
! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68),
inference(modus_ponens,[status(thm)],[77,73]) ).
tff(79,plain,
( ~ ! [VAR_X_67: $i,VAR_Y_68: $i] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68)
| pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(tuple_3(constr_CONST_1,constr_CONST_1,constr_CONST_1),name_Kbs))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(80,plain,
$false,
inference(unit_resolution,[status(thm)],[79,78,71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW970+1 : TPTP v9.0.0. Released v7.4.0.
% 0.03/0.12 % 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 12:17:39 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.70/0.90 % SZS status Theorem
% 0.70/0.90 % SZS output start Proof
% See solution above
% 0.70/0.91 % E exiting
%------------------------------------------------------------------------------