TSTP Solution File: SWW951+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW951+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n013.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 : Wed May 29 18:20:50 EDT 2024

% Result   : Theorem 0.22s 0.57s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWW951+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 26 06:03:24 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.Q7qxLVyMqd/cvc5---1.0.5_31102.smt2
% 0.22/0.57  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.Q7qxLVyMqd/cvc5---1.0.5_31102.smt2
% 0.22/0.57  (assume a0 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1)))
% 0.22/0.57  (assume a1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2)))
% 0.22/0.57  (assume a2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3)))
% 0.22/0.57  (assume a3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4)))
% 0.22/0.57  (assume a4 (not (= tptp.constr_CONST_0x30 tptp.constr_ZERO)))
% 0.22/0.57  (assume a5 (not (= tptp.constr_CONST_0x30 tptp.name_c)))
% 0.22/0.57  (assume a6 (not (= tptp.constr_CONST_0x30 tptp.name_k)))
% 0.22/0.57  (assume a7 (not (= tptp.constr_CONST_0x30 tptp.name_objective)))
% 0.22/0.57  (assume a8 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2)))
% 0.22/0.57  (assume a9 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3)))
% 0.22/0.57  (assume a10 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4)))
% 0.22/0.57  (assume a11 (not (= tptp.constr_CONST_1 tptp.constr_ZERO)))
% 0.22/0.57  (assume a12 (not (= tptp.constr_CONST_1 tptp.name_c)))
% 0.22/0.57  (assume a13 (not (= tptp.constr_CONST_1 tptp.name_k)))
% 0.22/0.57  (assume a14 (not (= tptp.constr_CONST_1 tptp.name_objective)))
% 0.22/0.57  (assume a15 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3)))
% 0.22/0.57  (assume a16 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4)))
% 0.22/0.57  (assume a17 (not (= tptp.constr_CONST_2 tptp.constr_ZERO)))
% 0.22/0.57  (assume a18 (not (= tptp.constr_CONST_2 tptp.name_c)))
% 0.22/0.57  (assume a19 (not (= tptp.constr_CONST_2 tptp.name_k)))
% 0.22/0.57  (assume a20 (not (= tptp.constr_CONST_2 tptp.name_objective)))
% 0.22/0.57  (assume a21 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4)))
% 0.22/0.57  (assume a22 (not (= tptp.constr_CONST_3 tptp.constr_ZERO)))
% 0.22/0.57  (assume a23 (not (= tptp.constr_CONST_3 tptp.name_c)))
% 0.22/0.57  (assume a24 (not (= tptp.constr_CONST_3 tptp.name_k)))
% 0.22/0.57  (assume a25 (not (= tptp.constr_CONST_3 tptp.name_objective)))
% 0.22/0.57  (assume a26 (not (= tptp.constr_CONST_4 tptp.constr_ZERO)))
% 0.22/0.57  (assume a27 (not (= tptp.constr_CONST_4 tptp.name_c)))
% 0.22/0.57  (assume a28 (not (= tptp.constr_CONST_4 tptp.name_k)))
% 0.22/0.57  (assume a29 (not (= tptp.constr_CONST_4 tptp.name_objective)))
% 0.22/0.57  (assume a30 (not (= tptp.constr_ZERO tptp.name_c)))
% 0.22/0.57  (assume a31 (not (= tptp.constr_ZERO tptp.name_k)))
% 0.22/0.57  (assume a32 (not (= tptp.constr_ZERO tptp.name_objective)))
% 0.22/0.57  (assume a33 (not (= tptp.name_c tptp.name_k)))
% 0.22/0.57  (assume a34 (not (= tptp.name_c tptp.name_objective)))
% 0.22/0.57  (assume a35 (not (= tptp.name_k tptp.name_objective)))
% 0.22/0.57  (assume a36 (forall ((VAR_X_10X30 $$unsorted)) (= (tptp.constr_xor VAR_X_10X30 VAR_X_10X30) tptp.constr_ZERO)))
% 0.22/0.57  (assume a37 (forall ((VAR_X_9 $$unsorted)) (= (tptp.constr_xor VAR_X_9 tptp.constr_ZERO) VAR_X_9)))
% 0.22/0.57  (assume a38 (forall ((VAR_X_7 $$unsorted) (VAR_Y_8 $$unsorted)) (= (tptp.constr_xor VAR_X_7 VAR_Y_8) (tptp.constr_xor VAR_Y_8 VAR_X_7))))
% 0.22/0.57  (assume a39 (forall ((VAR_X_0X30 $$unsorted) (VAR_Y_0X30 $$unsorted) (VAR_Z_0X30 $$unsorted)) (= (tptp.constr_xor VAR_X_0X30 (tptp.constr_xor VAR_Y_0X30 VAR_Z_0X30)) (tptp.constr_xor (tptp.constr_xor VAR_X_0X30 VAR_Y_0X30) VAR_Z_0X30))))
% 0.22/0.57  (assume a40 (forall ((VAR_V_26 $$unsorted) (VAR_V_27 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_26) (tptp.pred_attacker VAR_V_27)) (tptp.pred_attacker (tptp.constr_xor VAR_V_26 VAR_V_27)))))
% 0.22/0.57  (assume a41 (tptp.pred_attacker tptp.tuple_true))
% 0.22/0.57  (assume a42 (forall ((VAR_V_30X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_30X30) (tptp.pred_attacker (tptp.constr_h VAR_V_30X30)))))
% 0.22/0.57  (assume a43 (tptp.pred_attacker tptp.tuple_false))
% 0.22/0.57  (assume a44 (tptp.pred_attacker tptp.constr_ZERO))
% 0.22/0.57  (assume a45 (forall ((VAR_V_32 $$unsorted)) (=> (tptp.pred_attacker VAR_V_32) (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_32)))))
% 0.22/0.57  (assume a46 (forall ((VAR_V_35 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35)) (tptp.pred_attacker VAR_V_35))))
% 0.22/0.57  (assume a47 (forall ((VAR_V_38 $$unsorted)) (=> (tptp.pred_attacker VAR_V_38) (tptp.pred_attacker (tptp.tuple_T_out_2 VAR_V_38)))))
% 0.22/0.57  (assume a48 (forall ((VAR_V_41 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_out_2 VAR_V_41)) (tptp.pred_attacker VAR_V_41))))
% 0.22/0.57  (assume a49 (forall ((VAR_V_44 $$unsorted)) (=> (tptp.pred_attacker VAR_V_44) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))))
% 0.22/0.57  (assume a50 (forall ((VAR_V_47 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_47)) (tptp.pred_attacker VAR_V_47))))
% 0.22/0.57  (assume a51 (forall ((VAR_V_50X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_50X30) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))))
% 0.22/0.57  (assume a52 (forall ((VAR_V_53 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_53)) (tptp.pred_attacker VAR_V_53))))
% 0.22/0.57  (assume a53 (tptp.pred_attacker tptp.constr_CONST_4))
% 0.22/0.57  (assume a54 (tptp.pred_attacker tptp.constr_CONST_3))
% 0.22/0.57  (assume a55 (tptp.pred_attacker tptp.constr_CONST_2))
% 0.22/0.57  (assume a56 (tptp.pred_attacker tptp.constr_CONST_1))
% 0.22/0.57  (assume a57 (tptp.pred_attacker tptp.constr_CONST_0x30))
% 0.22/0.57  (assume a58 (forall ((VAR_V_59 $$unsorted) (VAR_V_60X30 $$unsorted)) (=> (and (tptp.pred_mess VAR_V_60X30 VAR_V_59) (tptp.pred_attacker VAR_V_60X30)) (tptp.pred_attacker VAR_V_59))))
% 0.22/0.57  (assume a59 (forall ((VAR_V_61 $$unsorted) (VAR_V_62 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_62) (tptp.pred_attacker VAR_V_61)) (tptp.pred_mess VAR_V_62 VAR_V_61))))
% 0.22/0.57  (assume a60 (tptp.pred_attacker tptp.name_c))
% 0.22/0.57  (assume a61 (forall ((VAR_V_64 $$unsorted)) (tptp.pred_equal VAR_V_64 VAR_V_64)))
% 0.22/0.57  (assume a62 (forall ((VAR_V_65 $$unsorted)) (tptp.pred_attacker (tptp.name_new0x2Dname VAR_V_65))))
% 0.22/0.57  (assume a63 (forall ((VAR_R1_85 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_85)) (tptp.pred_attacker (tptp.tuple_T_out_2 (tptp.constr_h (tptp.constr_xor tptp.name_k VAR_R1_85)))))))
% 0.22/0.57  (assume a64 (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (=> (and (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)))))
% 0.22/0.57  (assume a65 (not (tptp.pred_attacker tptp.name_objective)))
% 0.22/0.57  (assume a66 true)
% 0.22/0.57  (step t1 (cl (=> (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) :rule implies_neg1)
% 0.22/0.57  (anchor :step t2)
% 0.22/0.57  (assume t2.a0 (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))))
% 0.22/0.57  (step t2.t1 (cl (or (not (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule forall_inst :args ((:= VAR_V_35 tptp.name_objective)))
% 0.22/0.57  (step t2.t2 (cl (not (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule or :premises (t2.t1))
% 0.22/0.57  (step t2.t3 (cl (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t2.t2 t2.a0))
% 0.22/0.57  (step t2 (cl (not (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule subproof :discharge (t2.a0))
% 0.22/0.57  (step t3 (cl (=> (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t1 t2))
% 0.22/0.57  (step t4 (cl (=> (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule implies_neg2)
% 0.22/0.57  (step t5 (cl (=> (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (=> (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t3 t4))
% 0.22/0.57  (step t6 (cl (=> (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule contraction :premises (t5))
% 0.22/0.57  (step t7 (cl (not (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule implies :premises (t6))
% 0.22/0.57  (step t8 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)) :rule or_pos)
% 0.22/0.57  (step t9 (cl (tptp.pred_attacker tptp.name_objective) (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule reordering :premises (t8))
% 0.22/0.57  (step t10 (cl (not (= (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (=> (and (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))))) (not (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (=> (and (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))))) (or (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))))) :rule equiv_pos2)
% 0.22/0.57  (step t11 (cl (= (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (=> (and (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)))) (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)))))) :rule all_simplify)
% 0.22/0.57  (step t12 (cl (= (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))))) :rule all_simplify)
% 0.22/0.57  (step t13 (cl (= (forall ((VAR_K_XOR_K1_10X305 $$unsorted) (VAR_R1_10X306 $$unsorted)) (=> (and (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))) (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))))) :rule trans :premises (t11 t12))
% 0.22/0.57  (step t14 (cl (or (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))))) :rule resolution :premises (t10 t13 a64))
% 0.22/0.57  (step t15 (cl (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective)) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))) :rule or :premises (t14))
% 0.22/0.57  (step t16 (cl (=> (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))))) :rule implies_neg1)
% 0.22/0.57  (anchor :step t17)
% 0.22/0.57  (assume t17.a0 (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))))
% 0.22/0.57  (step t17.t1 (cl (or (not (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_K_XOR_K1_10X305 tptp.constr_CONST_1)))
% 0.22/0.57  (step t17.t2 (cl (not (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule or :premises (t17.t1))
% 0.22/0.57  (step t17.t3 (cl (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t17.t2 t17.a0))
% 0.22/0.57  (step t17 (cl (not (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule subproof :discharge (t17.a0))
% 0.22/0.57  (step t18 (cl (=> (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t16 t17))
% 0.22/0.57  (step t19 (cl (=> (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (not (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.22/0.57  (step t20 (cl (=> (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (=> (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t18 t19))
% 0.22/0.57  (step t21 (cl (=> (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule contraction :premises (t20))
% 0.22/0.57  (step t22 (cl (not (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305))))) (not (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule implies :premises (t21))
% 0.22/0.57  (step t23 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))) :rule or_pos)
% 0.22/0.57  (step t24 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule reordering :premises (t23))
% 0.22/0.57  (step t25 (cl (=> (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) :rule implies_neg1)
% 0.22/0.57  (anchor :step t26)
% 0.22/0.57  (assume t26.a0 (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))))
% 0.22/0.57  (step t26.t1 (cl (or (not (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_44 tptp.constr_CONST_1)))
% 0.22/0.57  (step t26.t2 (cl (not (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule or :premises (t26.t1))
% 0.22/0.57  (step t26.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t26.t2 t26.a0))
% 0.22/0.57  (step t26 (cl (not (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule subproof :discharge (t26.a0))
% 0.22/0.57  (step t27 (cl (=> (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t25 t26))
% 0.22/0.57  (step t28 (cl (=> (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.22/0.57  (step t29 (cl (=> (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t27 t28))
% 0.22/0.57  (step t30 (cl (=> (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))))) :rule contraction :premises (t29))
% 0.22/0.57  (step t31 (cl (not (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule implies :premises (t30))
% 0.22/0.57  (step t32 (cl (not (= (forall ((VAR_V_44 $$unsorted)) (=> (tptp.pred_attacker VAR_V_44) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))))) (not (forall ((VAR_V_44 $$unsorted)) (=> (tptp.pred_attacker VAR_V_44) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) :rule equiv_pos2)
% 0.22/0.57  (step t33 (cl (= (forall ((VAR_V_44 $$unsorted)) (=> (tptp.pred_attacker VAR_V_44) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))) (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44)))))) :rule all_simplify)
% 0.22/0.57  (step t34 (cl (forall ((VAR_V_44 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_44)) (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_V_44))))) :rule resolution :premises (t32 t33 a49))
% 0.22/0.57  (step t35 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t31 t34))
% 0.22/0.57  (step t36 (cl (tptp.pred_attacker (tptp.tuple_T_in_3 tptp.constr_CONST_1))) :rule resolution :premises (t24 a56 t35))
% 0.22/0.57  (step t37 (cl (not (forall ((VAR_K_XOR_K1_10X305 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_3 VAR_K_XOR_K1_10X305)))))) :rule resolution :premises (t22 t36))
% 0.22/0.57  (step t38 (cl (=> (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))) :rule implies_neg1)
% 0.22/0.57  (anchor :step t39)
% 0.22/0.57  (assume t39.a0 (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))))
% 0.22/0.57  (step t39.t1 (cl (or (not (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_R1_10X306 tptp.constr_CONST_1)))
% 0.22/0.57  (step t39.t2 (cl (not (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule or :premises (t39.t1))
% 0.22/0.57  (step t39.t3 (cl (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule resolution :premises (t39.t2 t39.a0))
% 0.22/0.57  (step t39 (cl (not (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule subproof :discharge (t39.a0))
% 0.22/0.57  (step t40 (cl (=> (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule resolution :premises (t38 t39))
% 0.22/0.57  (step t41 (cl (=> (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (not (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.22/0.57  (step t42 (cl (=> (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (=> (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule resolution :premises (t40 t41))
% 0.22/0.57  (step t43 (cl (=> (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule contraction :premises (t42))
% 0.22/0.57  (step t44 (cl (not (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306))))) (not (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule implies :premises (t43))
% 0.22/0.57  (step t45 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))) :rule or_pos)
% 0.22/0.57  (step t46 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule reordering :premises (t45))
% 0.22/0.57  (step t47 (cl (=> (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) :rule implies_neg1)
% 0.22/0.57  (anchor :step t48)
% 0.22/0.57  (assume t48.a0 (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))))
% 0.22/0.57  (step t48.t1 (cl (or (not (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_50X30 tptp.constr_CONST_1)))
% 0.22/0.57  (step t48.t2 (cl (not (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule or :premises (t48.t1))
% 0.22/0.57  (step t48.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule resolution :premises (t48.t2 t48.a0))
% 0.22/0.57  (step t48 (cl (not (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule subproof :discharge (t48.a0))
% 0.22/0.57  (step t49 (cl (=> (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule resolution :premises (t47 t48))
% 0.22/0.57  (step t50 (cl (=> (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.22/0.57  (step t51 (cl (=> (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule resolution :premises (t49 t50))
% 0.22/0.57  (step t52 (cl (=> (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))))) :rule contraction :premises (t51))
% 0.22/0.57  (step t53 (cl (not (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule implies :premises (t52))
% 0.22/0.57  (step t54 (cl (not (= (forall ((VAR_V_50X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_50X30) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))))) (not (forall ((VAR_V_50X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_50X30) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) :rule equiv_pos2)
% 0.22/0.57  (step t55 (cl (= (forall ((VAR_V_50X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_50X30) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))) (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30)))))) :rule all_simplify)
% 0.22/0.57  (step t56 (cl (forall ((VAR_V_50X30 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_V_50X30))))) :rule resolution :premises (t54 t55 a51))
% 0.22/0.57  (step t57 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1)))) :rule resolution :premises (t53 t56))
% 0.22/0.57  (step t58 (cl (tptp.pred_attacker (tptp.tuple_T_in_1 tptp.constr_CONST_1))) :rule resolution :premises (t46 a56 t57))
% 0.22/0.57  (step t59 (cl (not (forall ((VAR_R1_10X306 $$unsorted)) (not (tptp.pred_attacker (tptp.tuple_T_in_1 VAR_R1_10X306)))))) :rule resolution :premises (t44 t58))
% 0.22/0.57  (step t60 (cl (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) :rule resolution :premises (t15 t37 t59))
% 0.22/0.57  (step t61 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t9 a65 t60))
% 0.22/0.57  (step t62 (cl (not (= (forall ((VAR_V_35 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35)) (tptp.pred_attacker VAR_V_35))) (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))))) (not (forall ((VAR_V_35 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35)) (tptp.pred_attacker VAR_V_35)))) (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) :rule equiv_pos2)
% 0.22/0.57  (step t63 (cl (= (forall ((VAR_V_35 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35)) (tptp.pred_attacker VAR_V_35))) (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35))))) :rule all_simplify)
% 0.22/0.57  (step t64 (cl (forall ((VAR_V_35 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_T_out_4 VAR_V_35))) (tptp.pred_attacker VAR_V_35)))) :rule resolution :premises (t62 t63 a46))
% 0.22/0.57  (step t65 (cl) :rule resolution :premises (t7 t61 t64))
% 0.22/0.57  
% 0.22/0.57  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.Q7qxLVyMqd/cvc5---1.0.5_31102.smt2
% 0.22/0.58  % cvc5---1.0.5 exiting
% 0.22/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------