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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 : Tue Sep 29 01:27:53 PM UTC 2026

% Result   : Theorem 0.21s 0.40s
% Output   : Proof 1.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18  % Computer : n011.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 14:49:30 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.21/0.40  
% 0.21/0.40  % SZS status Theorem
% 0.21/0.40  
% 1.35/0.41  % SZS output start Proof
% 1.35/0.41  Axiom 1 (ax132): pred_attacker(name_A) = true.
% 1.35/0.41  Axiom 2 (ax79): pred_eq_bitstring_bitstring(X, Y) = true.
% 1.35/0.41  Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.35/0.41  Axiom 4 (ax94): ifeq(pred_attacker(X), true, pred_attacker(tuple_client_B_in_1(X)), true) = true.
% 1.35/0.41  Axiom 5 (ax93): ifeq(pred_attacker(tuple_client_B_out_2(X)), true, pred_attacker(X), true) = true.
% 1.35/0.41  Axiom 6 (ax135): ifeq(pred_attacker(tuple_client_B_in_1(X)), true, ifeq(pred_eq_bitstring_bitstring(name_A, constr_tuple_3_get_0x30(constr_cbc_dec_3(X, name_Kbs))), true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true) = true.
% 1.35/0.41  
% 1.35/0.41  Goal 1 (co0): pred_attacker(name_objective) = true.
% 1.35/0.41  Proof:
% 1.35/0.41    pred_attacker(name_objective)
% 1.35/0.41  = { by axiom 3 (ifeq_axiom) R->L }
% 1.35/0.41    ifeq(true, true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 6 (ax135) R->L }
% 1.35/0.41    ifeq(ifeq(pred_attacker(tuple_client_B_in_1(name_A)), true, ifeq(pred_eq_bitstring_bitstring(name_A, constr_tuple_3_get_0x30(constr_cbc_dec_3(name_A, name_Kbs))), true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 2 (ax79) }
% 1.35/0.41    ifeq(ifeq(pred_attacker(tuple_client_B_in_1(name_A)), true, ifeq(true, true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 3 (ifeq_axiom) }
% 1.35/0.41    ifeq(ifeq(pred_attacker(tuple_client_B_in_1(name_A)), true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 3 (ifeq_axiom) R->L }
% 1.35/0.41    ifeq(ifeq(ifeq(true, true, pred_attacker(tuple_client_B_in_1(name_A)), true), true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 1 (ax132) R->L }
% 1.35/0.41    ifeq(ifeq(ifeq(pred_attacker(name_A), true, pred_attacker(tuple_client_B_in_1(name_A)), true), true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 4 (ax94) }
% 1.35/0.41    ifeq(ifeq(true, true, pred_attacker(tuple_client_B_out_2(name_objective)), true), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 3 (ifeq_axiom) }
% 1.35/0.41    ifeq(pred_attacker(tuple_client_B_out_2(name_objective)), true, pred_attacker(name_objective), true)
% 1.35/0.41  = { by axiom 5 (ax93) }
% 1.35/0.41    true
% 1.35/0.41  % SZS output end Proof
% 1.35/0.41  
% 1.35/0.41  RESULT: Theorem (the conjecture is true).
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