%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW967+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:30:36 PM UTC 2026
% Result : Theorem 0.17s 0.97s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 21 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 183 ( 90 ~; 80 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f91,axiom,
pred_attacker(tuple_true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f110,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_9(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
fof(f121,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_8(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
fof(f123,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_6(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
fof(f125,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
fof(f127,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
fof(f143,axiom,
pred_attacker(constr_CONST_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax142) ).
fof(f172,axiom,
! [X0,X1,X2,X3,X4] :
( ( pred_attacker(tuple_client_A_in_2(X2))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
& pred_attacker(tuple_client_A_in_4(X3))
& pred_attacker(tuple_client_A_in_6(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
& pred_attacker(tuple_client_A_in_8(X4))
& pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) )
=> pred_attacker(tuple_client_A_out_9(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax171) ).
fof(f175,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f176,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f175]) ).
fof(f177,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f176]) ).
fof(f205,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_9(X0))
| pred_attacker(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f217,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_8(X0)) ),
inference(ennf_transformation,[],[f121]) ).
fof(f219,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_6(X0)) ),
inference(ennf_transformation,[],[f123]) ).
fof(f221,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_4(X0)) ),
inference(ennf_transformation,[],[f125]) ).
fof(f223,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_2(X0)) ),
inference(ennf_transformation,[],[f127]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(ennf_transformation,[],[f172]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(flattening,[],[f272]) ).
fof(f360,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f84]) ).
fof(f367,plain,
pred_attacker(tuple_true),
inference(cnf_transformation,[],[f91]) ).
fof(f386,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_9(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f397,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_8(X0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f399,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_6(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f401,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_4(X0)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f403,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_2(X0)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f419,plain,
pred_attacker(constr_CONST_4),
inference(cnf_transformation,[],[f143]) ).
fof(f447,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(cnf_transformation,[],[f273]) ).
fof(f450,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f177]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f360]) ).
tcf(c_139,plain,
pred_attacker(tuple_true),
inference(cnf_transformation,[],[f367]) ).
tcf(c_158,plain,
! [X0: $i] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_9(X0)) ),
inference(cnf_transformation,[],[f386]) ).
tcf(c_169,plain,
! [X0: $i] :
( pred_attacker(tuple_client_A_in_8(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_171,plain,
! [X0: $i] :
( pred_attacker(tuple_client_A_in_6(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_173,plain,
! [X0: $i] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_175,plain,
! [X0: $i] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_191,plain,
pred_attacker(constr_CONST_4),
inference(cnf_transformation,[],[f419]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X0,X1,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_222,negated_conjecture,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f450]) ).
tcf(c_354,plain,
! [X0: $i] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(prop_impl_just,[status(thm)],[c_173]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X0,X1,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))) ),
inference(bin_hyper_res,[status(thm)],[c_219,c_354]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(X4)
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_6(X2))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_684,c_132]) ).
tcf(c_1292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(X3)
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_8(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_714,c_132,c_132,c_132]) ).
tcf(c_1751,plain,
! [X0: $i] :
( pred_attacker(tuple_client_A_in_8(X0))
| ~ pred_attacker(X0) ),
inference(prop_impl_just,[status(thm)],[c_169]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(X3)
| ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_6(X0)) ),
inference(bin_hyper_res,[status(thm)],[c_1292,c_1751]) ).
tcf(c_3036,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ pred_attacker(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_2087]) ).
tcf(c_3037,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_2087]) ).
tcf(c_3038,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ pred_attacker(tuple_client_A_in_6(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_2087]) ).
tcf(c_3039,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2087]) ).
tcf(c_3040,negated_conjecture,
~ pred_attacker(name_objective),
inference(demodulation,[status(thm)],[c_222]) ).
tcf(c_5566,plain,
~ iPr_def_10,
inference(superposition,[status(thm)],[c_139,c_3036]) ).
tcf(c_5785,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ pred_attacker(X0) ),
inference(superposition,[status(thm)],[c_175,c_3037]) ).
tcf(c_5842,plain,
~ iPr_def_11,
inference(superposition,[status(thm)],[c_191,c_5785]) ).
tcf(c_5861,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ pred_attacker(X0) ),
inference(superposition,[status(thm)],[c_171,c_3038]) ).
tcf(c_5897,plain,
~ iPr_def_12,
inference(superposition,[status(thm)],[c_191,c_5861]) ).
tcf(c_5912,plain,
pred_attacker(tuple_client_A_out_9(name_objective)),
inference(global_subsumption_just,[status(thm)],[c_3039,c_3039,c_5566,c_5842,c_5897]) ).
tcf(c_5914,plain,
pred_attacker(name_objective),
inference(superposition,[status(thm)],[c_5912,c_158]) ).
tcf(c_5915,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5914,c_3040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW967+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Thu Sep 24 23:17:20 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.33 Running first-order theorem proving
% 0.03/0.33 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.34
% 0.03/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.34
% 0.03/0.34 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.17/0.97 % SZS status Started for theBenchmark.p
% 0.17/0.97 % SZS status Theorem for theBenchmark.p
% 0.17/0.97
% 0.17/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.17/0.97
% 0.17/0.97 % ------ iProver source info
% 0.17/0.97
% 0.17/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 0.17/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.17/0.97 % git: non_committed_changes: false
% 0.17/0.97
% 0.17/0.97 % ------ Parsing...
% 0.17/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.17/0.97
% 0.17/0.97 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.17/0.97
% 0.17/0.97 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.17/0.97
% 0.17/0.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.17/0.97 % ------ Proving...
% 0.17/0.97 % ------ Problem Properties
% 0.17/0.97
% 0.17/0.97 %
% 0.17/0.97 % clauses 174
% 0.17/0.97 % conjectures 1
% 0.17/0.97 % EPR 79
% 0.17/0.97 % Horn 173
% 0.17/0.97 % unary 97
% 0.17/0.97 % binary 59
% 0.17/0.97 % lits 282
% 0.17/0.97 % lits eq 83
% 0.17/0.97 % fd_pure 0
% 0.17/0.97 % fd_pseudo 0
% 0.17/0.97 % fd_cond 0
% 0.17/0.97 % fd_pseudo_cond 0
% 0.17/0.97 % AC symbols 0
% 0.17/0.97
% 0.17/0.97 % ------ Schedule dynamic 5 is on
% 0.17/0.97
% 0.17/0.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.17/0.97
% 0.17/0.97
% 0.17/0.97 % ------
% 0.17/0.97 % Current options:
% 0.17/0.97 % ------
% 0.17/0.97
% 0.17/0.97
% 0.17/0.97 %
% 0.17/0.97
% 0.17/0.97 % ------ Proving...
% 0.17/0.97 %
% 0.17/0.97
% 0.17/0.97 % SZS status Theorem for theBenchmark.p
% 0.17/0.97
% 0.17/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.17/0.97
%------------------------------------------------------------------------------