TSTP Solution File: SWV245-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV245-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n006.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 18:04:49 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV245-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 27 00:40:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.0QS4pZlbDL/cvc5---1.0.5_26564.smt2
% 0.20/0.52 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.0QS4pZlbDL/cvc5---1.0.5_26564.smt2
% 0.20/0.52 (assume a0 (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))
% 0.20/0.52 (assume a1 (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))
% 0.20/0.52 (assume a2 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.20/0.52 (assume a3 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))))
% 0.20/0.52 (assume a4 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.20/0.52 (assume a5 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 0.20/0.52 (assume a6 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 0.20/0.52 (assume a7 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))
% 0.20/0.52 (step t1 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t2)
% 0.20/0.52 (assume t2.a0 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 0.20/0.52 (step t2.t1 (cl (or (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y)) (:= V_A tptp.v_G) (:= T_a tptp.tc_Message_Omsg) (:= V_B tptp.v_H)))
% 0.20/0.52 (step t2.t2 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule or :premises (t2.t1))
% 0.20/0.52 (step t2.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t2.t2 t2.a0))
% 0.20/0.52 (step t2 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule subproof :discharge (t2.a0))
% 0.20/0.52 (step t3 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t1 t2))
% 0.20/0.52 (step t4 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t5 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t3 t4))
% 0.20/0.52 (step t6 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule contraction :premises (t5))
% 0.20/0.52 (step t7 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule implies :premises (t6))
% 0.20/0.52 (step t8 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t9 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule reordering :premises (t8))
% 0.20/0.52 (step t10 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t11 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t10))
% 0.20/0.52 (step t12 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t13 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t12))
% 0.20/0.52 (step t14 (cl (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t15 (cl (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule reordering :premises (t14))
% 0.20/0.52 (step t16 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t17)
% 0.20/0.52 (assume t17.a0 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 0.20/0.52 (step t17.t1 (cl (or (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c tptp.v_X) (:= V_A (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))) (:= T_a tptp.tc_Message_Omsg) (:= V_B (tptp.c_Message_Osynth tptp.v_G))))
% 0.20/0.52 (step t17.t2 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule or :premises (t17.t1))
% 0.20/0.52 (step t17.t3 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t17.t2 t17.a0))
% 0.20/0.52 (step t17 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule subproof :discharge (t17.a0))
% 0.20/0.52 (step t18 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t16 t17))
% 0.20/0.52 (step t19 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t20 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t18 t19))
% 0.20/0.52 (step t21 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule contraction :premises (t20))
% 0.20/0.52 (step t22 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule implies :premises (t21))
% 0.20/0.52 (step t23 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t22 a6))
% 0.20/0.52 (step t24 (cl (not (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t15 a1 t23))
% 0.20/0.52 (step t25 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t26)
% 0.20/0.52 (assume t26.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.20/0.52 (step t26.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X tptp.v_X) (:= V_Y tptp.v_Y) (:= V_H (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))))
% 0.20/0.52 (step t26.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule or :premises (t26.t1))
% 0.20/0.52 (step t26.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t26.t2 t26.a0))
% 0.20/0.52 (step t26 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t26.a0))
% 0.20/0.52 (step t27 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t25 t26))
% 0.20/0.52 (step t28 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t29 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t27 t28))
% 0.20/0.52 (step t30 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t29))
% 0.20/0.52 (step t31 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule implies :premises (t30))
% 0.20/0.52 (step t32 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t31 a2))
% 0.20/0.52 (step t33 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t13 t24 t32))
% 0.20/0.52 (step t34 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t35)
% 0.20/0.52 (assume t35.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.20/0.52 (step t35.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y)) (:= V_H (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))))
% 0.20/0.52 (step t35.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule or :premises (t35.t1))
% 0.20/0.52 (step t35.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t35.t2 t35.a0))
% 0.20/0.52 (step t35 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t35.a0))
% 0.20/0.52 (step t36 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t34 t35))
% 0.20/0.52 (step t37 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t38 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t36 t37))
% 0.20/0.52 (step t39 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t38))
% 0.20/0.52 (step t40 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule implies :premises (t39))
% 0.20/0.52 (step t41 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t40 a4))
% 0.20/0.52 (step t42 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t11 t33 t41))
% 0.20/0.52 (step t43 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t44 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)))) :rule reordering :premises (t43))
% 0.20/0.52 (step t45 (cl (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t46 (cl (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule reordering :premises (t45))
% 0.20/0.52 (step t47 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t48)
% 0.20/0.52 (assume t48.a0 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 0.20/0.52 (step t48.t1 (cl (or (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c tptp.v_X) (:= V_B (tptp.c_Message_Osynth tptp.v_G)) (:= T_a tptp.tc_Message_Omsg) (:= V_A (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)))))
% 0.20/0.52 (step t48.t2 (cl (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule or :premises (t48.t1))
% 0.20/0.52 (step t48.t3 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t48.t2 t48.a0))
% 0.20/0.52 (step t48 (cl (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule subproof :discharge (t48.a0))
% 0.20/0.52 (step t49 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t47 t48))
% 0.20/0.52 (step t50 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t51 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t49 t50))
% 0.20/0.52 (step t52 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule contraction :premises (t51))
% 0.20/0.52 (step t53 (cl (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule implies :premises (t52))
% 0.20/0.52 (step t54 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t53 a5))
% 0.20/0.52 (step t55 (cl (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule resolution :premises (t46 a1 t54))
% 0.20/0.52 (step t56 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.52 (step t57 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t56))
% 0.20/0.52 (step t58 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t59)
% 0.20/0.52 (assume t59.a0 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))
% 0.20/0.52 (step t59.t1 (cl (or (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y)) (:= V_A (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))) (:= V_B (tptp.c_Message_Osynth tptp.v_G)) (:= T_a tptp.tc_Message_Omsg)))
% 0.20/0.52 (step t59.t2 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule or :premises (t59.t1))
% 0.20/0.52 (step t59.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t59.t2 t59.a0))
% 0.20/0.52 (step t59 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t59.a0))
% 0.20/0.52 (step t60 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t58 t59))
% 0.20/0.52 (step t61 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t62 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t60 t61))
% 0.20/0.52 (step t63 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t62))
% 0.20/0.52 (step t64 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule implies :premises (t63))
% 0.20/0.52 (step t65 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Oanalz (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t64 a7))
% 0.20/0.52 (step t66 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) :rule resolution :premises (t57 a0 t33 t65))
% 0.20/0.52 (step t67 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.52 (anchor :step t68)
% 0.20/0.52 (assume t68.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))))
% 0.20/0.52 (step t68.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X tptp.v_X) (:= V_Y tptp.v_Y) (:= V_H tptp.v_G)))
% 0.20/0.52 (step t68.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) :rule or :premises (t68.t1))
% 0.20/0.52 (step t68.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) :rule resolution :premises (t68.t2 t68.a0))
% 0.20/0.52 (step t68 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) :rule subproof :discharge (t68.a0))
% 0.20/0.52 (step t69 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) :rule resolution :premises (t67 t68))
% 0.20/0.52 (step t70 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.52 (step t71 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)))) :rule resolution :premises (t69 t70))
% 0.20/0.52 (step t72 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)))) :rule contraction :premises (t71))
% 0.20/0.52 (step t73 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) :rule implies :premises (t72))
% 0.20/0.52 (step t74 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg))) :rule resolution :premises (t73 a3))
% 0.20/0.52 (step t75 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) :rule resolution :premises (t44 t55 t66 t74))
% 0.20/0.52 (step t76 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) tptp.v_G tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X tptp.v_Y) (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t9 t42 t75))
% 0.20/0.52 (step t77 (cl) :rule resolution :premises (t7 t76 a6))
% 0.20/0.52
% 0.20/0.52 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.0QS4pZlbDL/cvc5---1.0.5_26564.smt2
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------