%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV339-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:32:11 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV339-2 : TPTP v9.0.0. Released v3.2.0.
% 0.13/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 09:43:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(c_in_type, type, (
% 0.13/0.38 c_in: ( $i * $i * $i ) > $o)).
% 0.13/0.38 tff(tc_Message_Omsg_type, type, (
% 0.13/0.38 tc_Message_Omsg: $i)).
% 0.13/0.38 tff(c_Event_Oused_type, type, (
% 0.13/0.38 c_Event_Oused: $i > $i)).
% 0.13/0.38 tff(v_evs3_type, type, (
% 0.13/0.38 v_evs3: $i)).
% 0.13/0.38 tff(c_Message_Omsg_OKey_type, type, (
% 0.13/0.38 c_Message_Omsg_OKey: $i > $i)).
% 0.13/0.38 tff(c_Public_OshrK_type, type, (
% 0.13/0.38 c_Public_OshrK: $i > $i)).
% 0.13/0.38 tff(v_A_type, type, (
% 0.13/0.38 v_A: $i)).
% 0.13/0.38 tff(v_K_type, type, (
% 0.13/0.38 v_K: $i)).
% 0.13/0.38 tff(v_B_type, type, (
% 0.13/0.38 v_B: $i)).
% 0.13/0.38 tff(1,assumption,(v_K = c_Public_OshrK(v_B)), introduced(assumption)).
% 0.13/0.38 tff(2,plain,
% 0.13/0.38 (c_Public_OshrK(v_B) = v_K),
% 0.13/0.38 inference(symmetry,[status(thm)],[1])).
% 0.13/0.38 tff(3,plain,
% 0.13/0.38 (c_Message_Omsg_OKey(c_Public_OshrK(v_B)) = c_Message_Omsg_OKey(v_K)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[2])).
% 0.13/0.38 tff(4,plain,
% 0.13/0.38 (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Event_Oused(v_evs3), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[3])).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.38 inference(symmetry,[status(thm)],[4])).
% 0.13/0.38 tff(6,plain,
% 0.13/0.38 ((~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) <=> (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.13/0.38 inference(monotonicity,[status(thm)],[5])).
% 0.13/0.38 tff(7,plain,
% 0.13/0.38 ((~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) <=> (~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(8,axiom,(~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_6')).
% 0.13/0.38 tff(9,plain,
% 0.13/0.38 (~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.13/0.38 tff(10,plain,
% 0.13/0.38 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[9, 6])).
% 0.13/0.38 tff(11,plain,
% 0.13/0.38 (^[V_A: $i, V_evs: $i] : refl(c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(12,plain,
% 0.13/0.38 (![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg) <=> ![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)),
% 0.13/0.38 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.38 tff(13,plain,
% 0.13/0.38 (![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg) <=> ![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(14,axiom,(![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_Public_OshrK__in__used_0')).
% 0.13/0.38 tff(15,plain,
% 0.13/0.38 (![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.13/0.38 tff(16,plain,(
% 0.13/0.38 ![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)),
% 0.13/0.38 inference(skolemize,[status(sab)],[15])).
% 0.13/0.38 tff(17,plain,
% 0.13/0.38 (![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.13/0.38 tff(18,plain,
% 0.13/0.38 ((~![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(19,plain,
% 0.13/0.38 (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[18, 17])).
% 0.13/0.38 tff(20,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[19, 10])).
% 0.13/0.38 tff(21,plain,(~(v_K = c_Public_OshrK(v_B))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38 tff(22,plain,
% 0.13/0.38 (((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))) <=> ((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A)))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(23,axiom,((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_8')).
% 0.13/0.38 tff(24,plain,
% 0.13/0.38 ((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.13/0.38 tff(25,plain,
% 0.13/0.38 ((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[24, 22])).
% 0.13/0.38 tff(26,plain,
% 0.13/0.38 ((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[25, 22])).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 ((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 ((v_K = c_Public_OshrK(v_B)) | (v_K = c_Public_OshrK(v_A))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[27, 22])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (v_K = c_Public_OshrK(v_A)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[28, 21])).
% 0.13/0.39 tff(30,plain,
% 0.13/0.39 (c_Public_OshrK(v_A) = v_K),
% 0.13/0.39 inference(symmetry,[status(thm)],[29])).
% 0.13/0.39 tff(31,plain,
% 0.13/0.39 (c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OKey(v_K)),
% 0.13/0.39 inference(monotonicity,[status(thm)],[30])).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oused(v_evs3), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.39 inference(monotonicity,[status(thm)],[31])).
% 0.13/0.39 tff(33,plain,
% 0.13/0.39 (c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.39 inference(symmetry,[status(thm)],[32])).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 ((~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) <=> (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[33])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[9, 34])).
% 0.13/0.39 tff(36,plain,
% 0.13/0.39 ((~![V_A: $i, V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Event_Oused(V_evs), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(37,plain,
% 0.13/0.39 (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[36, 17])).
% 0.13/0.39 tff(38,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[37, 35])).
% 0.13/0.39 % SZS output end Proof
% 0.13/0.39 % E exiting
%------------------------------------------------------------------------------