TSTP Solution File: SWV244-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV244-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n016.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 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SWV244-2 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.16 % Command : do_cvc5 %s %d
% 0.14/0.38 % Computer : n016.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun May 26 23:58:09 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.upSuiGEyDN/cvc5---1.0.5_20052.smt2
% 0.22/0.55 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.upSuiGEyDN/cvc5---1.0.5_20052.smt2
% 0.22/0.55 (assume a0 (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))
% 0.22/0.55 (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)))
% 0.22/0.55 (assume a2 (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))))
% 0.22/0.55 (assume a3 (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))))
% 0.22/0.55 (assume a4 (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))))
% 0.22/0.55 (assume a5 (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))))
% 0.22/0.55 (step t1 (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H 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)
% 0.22/0.55 (anchor :step t2)
% 0.22/0.55 (assume t2.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))))
% 0.22/0.55 (step t2.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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c tptp.v_X) (:= V_B tptp.v_H) (:= T_a tptp.tc_Message_Omsg) (:= V_A tptp.v_G)))
% 0.22/0.55 (step t2.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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule or :premises (t2.t1))
% 0.22/0.55 (step t2.t3 (cl (or (not (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t2.t2 t2.a0))
% 0.22/0.55 (step 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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule subproof :discharge (t2.a0))
% 0.22/0.55 (step t3 (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t1 t2))
% 0.22/0.55 (step t4 (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.22/0.55 (step t5 (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H 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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t3 t4))
% 0.22/0.55 (step t6 (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule contraction :premises (t5))
% 0.22/0.55 (step t7 (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule implies :premises (t6))
% 0.22/0.55 (step t8 (cl (not (or (not (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.22/0.55 (step t9 (cl (not (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (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.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule reordering :premises (t8))
% 0.22/0.55 (step t10 (cl (not (or (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.22/0.55 (step t11 (cl (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) 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.v_X tptp.v_H tptp.tc_Message_Omsg) (not (or (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)))) :rule reordering :premises (t10))
% 0.22/0.55 (step t12 (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)
% 0.22/0.55 (step t13 (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 (t12))
% 0.22/0.55 (step t14 (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)
% 0.22/0.55 (anchor :step t15)
% 0.22/0.55 (assume t15.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))))
% 0.22/0.55 (step t15.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)))))
% 0.22/0.55 (step t15.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 (t15.t1))
% 0.22/0.55 (step t15.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 (t15.t2 t15.a0))
% 0.22/0.55 (step t15 (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 (t15.a0))
% 0.22/0.55 (step t16 (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 (t14 t15))
% 0.22/0.55 (step t17 (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)
% 0.22/0.55 (step t18 (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 (t16 t17))
% 0.22/0.55 (step t19 (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 (t18))
% 0.22/0.55 (step t20 (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 (t19))
% 0.22/0.55 (step t21 (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 (t20 a3))
% 0.22/0.55 (step t22 (cl (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule resolution :premises (t13 a1 t21))
% 0.22/0.55 (step t23 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) 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)
% 0.22/0.55 (anchor :step t24)
% 0.22/0.55 (assume t24.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))))
% 0.22/0.55 (step t24.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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c tptp.v_X) (:= V_A (tptp.c_Message_Osynth tptp.v_G)) (:= V_B tptp.v_H) (:= T_a tptp.tc_Message_Omsg)))
% 0.22/0.55 (step t24.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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule or :premises (t24.t1))
% 0.22/0.55 (step t24.t3 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule resolution :premises (t24.t2 t24.a0))
% 0.22/0.55 (step t24 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule subproof :discharge (t24.a0))
% 0.22/0.55 (step t25 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule resolution :premises (t23 t24))
% 0.22/0.55 (step t26 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (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_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.22/0.55 (step t27 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) 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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)))) :rule resolution :premises (t25 t26))
% 0.22/0.55 (step t28 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg)))) :rule contraction :premises (t27))
% 0.22/0.55 (step t29 (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.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule implies :premises (t28))
% 0.22/0.55 (step t30 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_union (tptp.c_Message_Osynth tptp.v_G) tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth tptp.v_G) tptp.tc_Message_Omsg))) :rule resolution :premises (t29 a5))
% 0.22/0.55 (step t31 (cl (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) :rule resolution :premises (t11 a0 t22 t30))
% 0.22/0.55 (step t32 (cl (not (or (not (tptp.c_in tptp.v_X (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.v_X (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)
% 0.22/0.55 (step t33 (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.v_X (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_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 (t32))
% 0.22/0.55 (step t34 (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)
% 0.22/0.55 (step t35 (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 (t34))
% 0.22/0.55 (step t36 (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)
% 0.22/0.55 (anchor :step t37)
% 0.22/0.55 (assume t37.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))))
% 0.22/0.55 (step t37.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))))
% 0.22/0.55 (step t37.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 (t37.t1))
% 0.22/0.55 (step t37.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 (t37.t2 t37.a0))
% 0.22/0.55 (step t37 (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 (t37.a0))
% 0.22/0.55 (step t38 (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 (t36 t37))
% 0.22/0.55 (step t39 (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)
% 0.22/0.55 (step t40 (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 (t38 t39))
% 0.22/0.55 (step t41 (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 (t40))
% 0.22/0.55 (step t42 (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 (t41))
% 0.22/0.55 (step t43 (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 (t42 a4))
% 0.22/0.55 (step t44 (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 (t35 a1 t43))
% 0.22/0.55 (step t45 (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.v_X (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 $$unsorted) (V_H $$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)
% 0.22/0.55 (anchor :step t46)
% 0.22/0.55 (assume t46.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))))
% 0.22/0.55 (step t46.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.v_X (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_H (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))))
% 0.22/0.55 (step t46.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.v_X (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 (t46.t1))
% 0.22/0.55 (step t46.t3 (cl (or (not (tptp.c_in tptp.v_X (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 (t46.t2 t46.a0))
% 0.22/0.55 (step t46 (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.v_X (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 (t46.a0))
% 0.22/0.55 (step t47 (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.v_X (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.v_X (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 (t45 t46))
% 0.22/0.55 (step t48 (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.v_X (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.v_X (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)
% 0.22/0.55 (step t49 (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.v_X (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 $$unsorted) (V_H $$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.v_X (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 (t47 t48))
% 0.22/0.55 (step t50 (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.v_X (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 (t49))
% 0.22/0.55 (step t51 (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.v_X (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 (t50))
% 0.22/0.55 (step t52 (cl (or (not (tptp.c_in tptp.v_X (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 (t51 a2))
% 0.22/0.55 (step t53 (cl (not (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t33 t44 t52))
% 0.22/0.55 (step t54 (cl (not (or (not (tptp.c_in tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t9 t31 t53))
% 0.22/0.55 (step t55 (cl) :rule resolution :premises (t7 t54 a3))
% 0.22/0.55
% 0.22/0.55 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.upSuiGEyDN/cvc5---1.0.5_20052.smt2
% 0.22/0.56 % cvc5---1.0.5 exiting
% 0.22/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------