TSTP Solution File: SWV321-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV321-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 15:11:09 EDT 2022
% Result : Unsatisfiable 8.95s 6.11s
% Output : Proof 9.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV321-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 02:10:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 8.95/6.11 % SZS status Unsatisfiable
% 8.95/6.11 % SZS output start Proof
% 8.95/6.11 tff(c_in_type, type, (
% 8.95/6.11 c_in: ( $i * $i * $i ) > $o)).
% 8.95/6.11 tff(tc_Message_Omsg_type, type, (
% 8.95/6.11 tc_Message_Omsg: $i)).
% 8.95/6.11 tff(c_Message_Osynth_type, type, (
% 8.95/6.11 c_Message_Osynth: $i > $i)).
% 8.95/6.11 tff(c_Message_Oanalz_type, type, (
% 8.95/6.11 c_Message_Oanalz: $i > $i)).
% 8.95/6.11 tff(c_Event_Oknows_type, type, (
% 8.95/6.11 c_Event_Oknows: ( $i * $i ) > $i)).
% 8.95/6.11 tff(v_evsf_type, type, (
% 8.95/6.11 v_evsf: $i)).
% 8.95/6.11 tff(c_Message_Oagent_OSpy_type, type, (
% 8.95/6.11 c_Message_Oagent_OSpy: $i)).
% 8.95/6.11 tff(c_Message_Omsg_OKey_type, type, (
% 8.95/6.11 c_Message_Omsg_OKey: $i > $i)).
% 8.95/6.11 tff(c_Public_OshrK_type, type, (
% 8.95/6.11 c_Public_OshrK: $i > $i)).
% 8.95/6.11 tff(v_A_type, type, (
% 8.95/6.11 v_A: $i)).
% 8.95/6.11 tff(c_union_type, type, (
% 8.95/6.11 c_union: ( $i * $i * $i ) > $i)).
% 8.95/6.11 tff(c_Message_Oparts_type, type, (
% 8.95/6.11 c_Message_Oparts: $i > $i)).
% 8.95/6.11 tff(c_insert_type, type, (
% 8.95/6.11 c_insert: ( $i * $i * $i ) > $i)).
% 8.95/6.11 tff(v_X_type, type, (
% 8.95/6.11 v_X: $i)).
% 8.95/6.11 tff(tc_Message_Oagent_type, type, (
% 8.95/6.11 tc_Message_Oagent: $i)).
% 8.95/6.11 tff(c_Event_Obad_type, type, (
% 8.95/6.11 c_Event_Obad: $i)).
% 8.95/6.11 tff(1,assumption,(~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)), introduced(assumption)).
% 8.95/6.11 tff(2,plain,
% 8.95/6.11 (^[V_H: $i, V_X: $i] : refl(((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 8.95/6.11 inference(bind,[status(th)],[])).
% 8.95/6.11 tff(3,plain,
% 8.95/6.11 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.11 inference(quant_intro,[status(thm)],[2])).
% 8.95/6.11 tff(4,plain,
% 8.95/6.11 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(5,axiom,(![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_Oparts_OInj_0')).
% 8.95/6.11 tff(6,plain,
% 8.95/6.11 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[5, 4])).
% 8.95/6.11 tff(7,plain,(
% 8.95/6.11 ![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.11 inference(skolemize,[status(sab)],[6])).
% 8.95/6.11 tff(8,plain,
% 8.95/6.11 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[7, 3])).
% 8.95/6.11 tff(9,plain,
% 8.95/6.11 (((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(10,plain,
% 8.95/6.11 ((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 8.95/6.11 inference(quant_inst,[status(thm)],[])).
% 8.95/6.11 tff(11,plain,
% 8.95/6.11 ((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[10, 9])).
% 8.95/6.11 tff(12,plain,
% 8.95/6.11 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg)),
% 8.95/6.11 inference(unit_resolution,[status(thm)],[11, 8, 1])).
% 8.95/6.11 tff(13,plain,
% 8.95/6.11 (^[V_b: $i, V_a: $i, T_a: $i, V_B: $i] : refl(((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a)) <=> ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a)))),
% 8.95/6.11 inference(bind,[status(th)],[])).
% 8.95/6.11 tff(14,plain,
% 8.95/6.11 (![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a)) <=> ![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))),
% 8.95/6.11 inference(quant_intro,[status(thm)],[13])).
% 8.95/6.11 tff(15,plain,
% 8.95/6.11 (![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a)) <=> ![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(16,axiom,(![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))), file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax','cls_Set_OinsertCI_0')).
% 8.95/6.11 tff(17,plain,
% 8.95/6.11 (![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[16, 15])).
% 8.95/6.11 tff(18,plain,(
% 8.95/6.11 ![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))),
% 8.95/6.11 inference(skolemize,[status(sab)],[17])).
% 8.95/6.11 tff(19,plain,
% 8.95/6.11 (![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[18, 14])).
% 8.95/6.11 tff(20,plain,
% 8.95/6.11 (((~![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg))) <=> ((~![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(21,plain,
% 8.95/6.11 ((~![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg))),
% 8.95/6.11 inference(quant_inst,[status(thm)],[])).
% 8.95/6.11 tff(22,plain,
% 8.95/6.11 ((~![V_b: $i, V_a: $i, T_a: $i, V_B: $i] : ((~c_in(V_a, V_B, T_a)) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg), tc_Message_Omsg)),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[21, 20])).
% 8.95/6.11 tff(23,plain,
% 8.95/6.11 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)),
% 8.95/6.11 inference(unit_resolution,[status(thm)],[22, 19, 12])).
% 8.95/6.11 tff(24,plain,
% 8.95/6.11 ((c_in(v_A, c_Event_Obad, tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) <=> (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(25,plain,
% 8.95/6.11 ((c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg) | c_in(v_A, c_Event_Obad, tc_Message_Oagent)) <=> (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(26,axiom,(c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg) | c_in(v_A, c_Event_Obad, tc_Message_Oagent)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_5')).
% 8.95/6.11 tff(27,plain,
% 8.95/6.11 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[26, 25])).
% 8.95/6.11 tff(28,plain,
% 8.95/6.11 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[27, 24])).
% 8.95/6.11 tff(29,plain,
% 8.95/6.11 (c_in(v_A, c_Event_Obad, tc_Message_Oagent)),
% 8.95/6.11 inference(unit_resolution,[status(thm)],[28, 1])).
% 8.95/6.11 tff(30,plain,
% 8.95/6.11 (^[V_A: $i, V_evs: $i] : refl(((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg)) <=> ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg)))),
% 8.95/6.11 inference(bind,[status(th)],[])).
% 8.95/6.11 tff(31,plain,
% 8.95/6.11 (![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg)) <=> ![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))),
% 8.95/6.11 inference(quant_intro,[status(thm)],[30])).
% 8.95/6.11 tff(32,plain,
% 8.95/6.11 (![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg)) <=> ![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(33,axiom,(![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax','cls_Public_OSpy__spies__bad__shrK_0')).
% 8.95/6.11 tff(34,plain,
% 8.95/6.11 (![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[33, 32])).
% 8.95/6.11 tff(35,plain,(
% 8.95/6.11 ![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))),
% 8.95/6.11 inference(skolemize,[status(sab)],[34])).
% 8.95/6.11 tff(36,plain,
% 8.95/6.11 (![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[35, 31])).
% 8.95/6.11 tff(37,plain,
% 8.95/6.11 (((~![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))) | ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg))) <=> ((~![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))) | (~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(38,plain,
% 8.95/6.11 ((~![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))) | ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg))),
% 8.95/6.11 inference(quant_inst,[status(thm)],[])).
% 8.95/6.11 tff(39,plain,
% 8.95/6.11 ((~![V_A: $i, V_evs: $i] : ((~c_in(V_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg))) | (~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[38, 37])).
% 8.95/6.11 tff(40,plain,
% 8.95/6.11 ($false),
% 8.95/6.11 inference(unit_resolution,[status(thm)],[39, 36, 29, 23])).
% 8.95/6.11 tff(41,plain,(c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 8.95/6.11 tff(42,plain,
% 8.95/6.11 (c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) <=> c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(43,axiom,(c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_1')).
% 8.95/6.11 tff(44,plain,
% 8.95/6.11 (c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[43, 42])).
% 8.95/6.11 tff(45,plain,
% 8.95/6.11 (^[V_Z: $i, V_H: $i, V_X: $i] : refl(((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))))),
% 8.95/6.11 inference(bind,[status(th)],[])).
% 8.95/6.11 tff(46,plain,
% 8.95/6.11 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) <=> ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(quant_intro,[status(thm)],[45])).
% 8.95/6.11 tff(47,plain,
% 8.95/6.11 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) <=> ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(48,plain,
% 8.95/6.11 (^[V_Z: $i, V_H: $i, V_X: $i] : trans(monotonicity(rewrite(((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))), ((((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> (((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)))), rewrite((((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))), ((((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))))),
% 8.95/6.11 inference(bind,[status(th)],[])).
% 8.95/6.11 tff(49,plain,
% 8.95/6.11 (![V_Z: $i, V_H: $i, V_X: $i] : (((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(quant_intro,[status(thm)],[48])).
% 8.95/6.11 tff(50,axiom,(![V_Z: $i, V_H: $i, V_X: $i] : (((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax','cls_Message_OFake__parts__insert__in__Un__dest_0')).
% 8.95/6.11 tff(51,plain,
% 8.95/6.11 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[50, 49])).
% 8.95/6.11 tff(52,plain,
% 8.95/6.11 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[51, 47])).
% 8.95/6.11 tff(53,plain,(
% 8.95/6.11 ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(skolemize,[status(sab)],[52])).
% 8.95/6.11 tff(54,plain,
% 8.95/6.11 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.11 inference(modus_ponens,[status(thm)],[53, 46])).
% 8.95/6.11 tff(55,plain,
% 8.95/6.11 (((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(56,plain,
% 8.95/6.11 (((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 8.95/6.11 inference(rewrite,[status(thm)],[])).
% 8.95/6.11 tff(57,plain,
% 8.95/6.11 (((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))))),
% 8.95/6.11 inference(monotonicity,[status(thm)],[56])).
% 8.95/6.11 tff(58,plain,
% 8.95/6.11 (((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 8.95/6.11 inference(transitivity,[status(thm)],[57, 55])).
% 8.95/6.11 tff(59,plain,
% 8.95/6.11 ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.12 inference(quant_inst,[status(thm)],[])).
% 8.95/6.12 tff(60,plain,
% 8.95/6.12 ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[59, 58])).
% 8.95/6.12 tff(61,plain,
% 8.95/6.12 (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)),
% 8.95/6.12 inference(unit_resolution,[status(thm)],[60, 54, 44, 41])).
% 8.95/6.12 tff(62,plain,
% 8.95/6.12 (((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(63,axiom,((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_4')).
% 8.95/6.12 tff(64,plain,
% 8.95/6.12 ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[63, 62])).
% 8.95/6.12 tff(65,plain,
% 8.95/6.12 (~c_in(v_A, c_Event_Obad, tc_Message_Oagent)),
% 8.95/6.12 inference(unit_resolution,[status(thm)],[64, 41])).
% 8.95/6.12 tff(66,plain,
% 8.95/6.12 ((c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))) <=> (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(67,axiom,(c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_2')).
% 8.95/6.12 tff(68,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[67, 66])).
% 8.95/6.12 tff(69,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[68, 66])).
% 8.95/6.12 tff(70,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[69, 66])).
% 8.95/6.12 tff(71,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[70, 66])).
% 8.95/6.12 tff(72,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[71, 66])).
% 8.95/6.12 tff(73,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[72, 66])).
% 8.95/6.12 tff(74,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[73, 66])).
% 8.95/6.12 tff(75,plain,
% 8.95/6.12 (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[74, 66])).
% 8.95/6.12 tff(76,plain,
% 8.95/6.12 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 8.95/6.12 inference(unit_resolution,[status(thm)],[75, 65])).
% 8.95/6.12 tff(77,plain,
% 8.95/6.12 (^[V_c: $i, T_a: $i, V_B: $i, V_A: $i] : refl((c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))))),
% 8.95/6.12 inference(bind,[status(th)],[])).
% 8.95/6.12 tff(78,plain,
% 8.95/6.12 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(quant_intro,[status(thm)],[77])).
% 8.95/6.12 tff(79,plain,
% 8.95/6.12 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(80,plain,
% 8.95/6.12 (^[V_c: $i, T_a: $i, V_B: $i, V_A: $i] : rewrite((((~c_in(V_c, c_union(V_A, V_B, T_a), T_a)) | c_in(V_c, V_B, T_a)) | c_in(V_c, V_A, T_a)) <=> (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))))),
% 8.95/6.12 inference(bind,[status(th)],[])).
% 8.95/6.12 tff(81,plain,
% 8.95/6.12 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (((~c_in(V_c, c_union(V_A, V_B, T_a), T_a)) | c_in(V_c, V_B, T_a)) | c_in(V_c, V_A, T_a)) <=> ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(quant_intro,[status(thm)],[80])).
% 8.95/6.12 tff(82,axiom,(![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (((~c_in(V_c, c_union(V_A, V_B, T_a), T_a)) | c_in(V_c, V_B, T_a)) | c_in(V_c, V_A, T_a))), file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax','cls_Set_OUnE_0')).
% 8.95/6.12 tff(83,plain,
% 8.95/6.12 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[82, 81])).
% 8.95/6.12 tff(84,plain,
% 8.95/6.12 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[83, 79])).
% 8.95/6.12 tff(85,plain,(
% 8.95/6.12 ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(skolemize,[status(sab)],[84])).
% 8.95/6.12 tff(86,plain,
% 8.95/6.12 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[85, 78])).
% 8.95/6.12 tff(87,plain,
% 8.95/6.12 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(88,plain,
% 8.95/6.12 ((c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))) <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(89,plain,
% 8.95/6.12 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 8.95/6.12 inference(monotonicity,[status(thm)],[88])).
% 8.95/6.12 tff(90,plain,
% 8.95/6.12 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))),
% 8.95/6.12 inference(transitivity,[status(thm)],[89, 87])).
% 8.95/6.12 tff(91,plain,
% 8.95/6.12 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 8.95/6.12 inference(quant_inst,[status(thm)],[])).
% 8.95/6.12 tff(92,plain,
% 8.95/6.12 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[91, 90])).
% 8.95/6.12 tff(93,plain,
% 8.95/6.12 (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 8.95/6.12 inference(unit_resolution,[status(thm)],[92, 86, 76, 61])).
% 8.95/6.12 tff(94,plain,
% 8.95/6.12 (^[V_c: $i, V_H: $i] : refl(((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 8.95/6.12 inference(bind,[status(th)],[])).
% 8.95/6.12 tff(95,plain,
% 8.95/6.12 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.12 inference(quant_intro,[status(thm)],[94])).
% 8.95/6.12 tff(96,plain,
% 8.95/6.12 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(97,axiom,(![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax','cls_Message_Oanalz__into__parts__dest_0')).
% 8.95/6.12 tff(98,plain,
% 8.95/6.12 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[97, 96])).
% 8.95/6.12 tff(99,plain,(
% 8.95/6.12 ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.12 inference(skolemize,[status(sab)],[98])).
% 8.95/6.12 tff(100,plain,
% 8.95/6.12 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[99, 95])).
% 8.95/6.12 tff(101,plain,
% 8.95/6.12 (((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))) <=> ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(rewrite,[status(thm)],[])).
% 8.95/6.12 tff(102,plain,
% 8.95/6.12 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 8.95/6.12 inference(quant_inst,[status(thm)],[])).
% 8.95/6.12 tff(103,plain,
% 8.95/6.12 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 8.95/6.12 inference(modus_ponens,[status(thm)],[102, 101])).
% 8.95/6.12 tff(104,plain,
% 8.95/6.12 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 8.95/6.12 inference(unit_resolution,[status(thm)],[103, 100, 76])).
% 8.95/6.12 tff(105,plain,
% 8.95/6.12 (^[V_H: $i, V_K: $i] : refl(((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg)))),
% 8.95/6.12 inference(bind,[status(th)],[])).
% 8.95/6.12 tff(106,plain,
% 8.95/6.12 (![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg)) <=> ![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))),
% 8.95/6.12 inference(quant_intro,[status(thm)],[105])).
% 8.95/6.12 tff(107,plain,
% 8.95/6.12 (![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg)) <=> ![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))),
% 9.07/6.15 inference(rewrite,[status(thm)],[])).
% 9.07/6.15 tff(108,axiom,(![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_OKey__synth_0')).
% 9.07/6.15 tff(109,plain,
% 9.07/6.15 (![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))),
% 9.07/6.15 inference(modus_ponens,[status(thm)],[108, 107])).
% 9.07/6.15 tff(110,plain,(
% 9.07/6.15 ![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))),
% 9.07/6.15 inference(skolemize,[status(sab)],[109])).
% 9.07/6.15 tff(111,plain,
% 9.07/6.15 (![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))),
% 9.07/6.15 inference(modus_ponens,[status(thm)],[110, 106])).
% 9.07/6.15 tff(112,plain,
% 9.07/6.15 (((~![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 9.07/6.15 inference(rewrite,[status(thm)],[])).
% 9.07/6.15 tff(113,plain,
% 9.07/6.15 ((~![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 9.07/6.15 inference(quant_inst,[status(thm)],[])).
% 9.07/6.15 tff(114,plain,
% 9.07/6.15 ((~![V_H: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OKey(V_K), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 9.07/6.15 inference(modus_ponens,[status(thm)],[113, 112])).
% 9.07/6.15 tff(115,plain,
% 9.07/6.15 ($false),
% 9.07/6.15 inference(unit_resolution,[status(thm)],[114, 111, 104, 93])).
% 9.07/6.15 % SZS output end Proof
%------------------------------------------------------------------------------