%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL443-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:17 PM UTC 2026
% Result : Unsatisfiable 45.14s 45.49s
% Output : Refutation 45.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL443-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 17:46:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 45.14/45.49 GeoParameters:
% 45.14/45.49
% 45.14/45.49 tptp_input = 1
% 45.14/45.49 tptp_output = 0
% 45.14/45.49 nonempty = 1
% 45.14/45.49 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.14/45.49 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 45.14/45.49
% 45.14/45.49
% 45.14/45.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.14/45.49 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.14/45.49
% 45.14/45.49 RuleSystem INPUT:
% 45.14/45.49
% 45.14/45.49 Initial Rules:
% 45.14/45.49 #0: input, references = 26, size of lhs = 5:
% 45.14/45.49 P_c_PropLog_Othms-{F}(V0,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V2,V1,V6), c_in-{F}(V5,V3,V4), c_in-{F}(V6,V3,V4) | c_in-{T}(V2,V3,V4)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #1: input, references = 27, size of lhs = 6:
% 45.14/45.49 P_tc_PropLog_Opl-{F}(V2,V4), P_c_insert-{F}(V0,V1,V4,V5), P_c_PropLog_Othms-{F}(V5,V2,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V3,V2,V7), P_c_PropLog_Othms-{F}(V1,V2,V8), c_in-{F}(V3,V6,V4) | c_in-{T}(V7,V8,V4)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #2: input, references = 25, size of lhs = 3:
% 45.14/45.49 P_tc_PropLog_Opl-{F}(V2,V3), P_c_PropLog_Othms-{F}(V1,V2,V4), c_in-{F}(V0,V1,V3) | c_in-{T}(V0,V4,V3)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #3: input, references = 22, size of lhs = 5:
% 45.14/45.49 P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), c_in-{F}(V0,V3,V4), P_c_insert-{F}(V5,V2,V4,V6), P_c_PropLog_Othms-{F}(V6,V1,V7) | c_in-{T}(V0,V7,V4)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #4: input, references = 17, size of lhs = 1:
% 45.14/45.49 P_c_insert-{F}(V1,V2,V0,V3) | c_in-{T}(V1,V3,V0)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #5: input, references = 6, size of lhs = 5:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4) | c_in-{T}(V0,V3,V4)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #6: input, references = 6, size of lhs = 8:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V6,V2,V7) | c_in-{T}(V7,V3,V4)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #7: input, references = 6, size of lhs = 11:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V6,V2,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V6,V2,V9), c_in-{F}(V9,V3,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #8: input, references = 17, size of lhs = 2:
% 45.14/45.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #9: input, references = 6, size of lhs = 1:
% 45.14/45.49 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #10: input, references = 12, size of lhs = 3:
% 45.14/45.49 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #11: input, references = 10, size of lhs = 3:
% 45.14/45.49 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #12: input, references = 4, size of lhs = 0:
% 45.14/45.49 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #13: input, references = 4, size of lhs = 0:
% 45.14/45.49 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #14: input, references = 4, size of lhs = 0:
% 45.14/45.49 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #15: input, references = 4, size of lhs = 0:
% 45.14/45.49 FALSE | EXISTS V0: P_v_q-{T}(V0)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #16: input, references = 5, size of lhs = 0:
% 45.14/45.49 FALSE | EXISTS V0: P_c_PropLog_Opl_Ofalse-{T}(V0)
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 number of initial rules = 17
% 45.14/45.49
% 45.14/45.49 Simplifiers:
% 45.14/45.49 #17: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #18: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #19: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V1,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #20: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #21: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #22: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #23: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #24: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_v_q-{F}(V0), P_v_q-{F}(V1), V0 == V1 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #25: unsound, references = 3, size of lhs = 3:
% 45.14/45.49 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Opl_Ofalse-{F}(V1), V0 == V1 | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 number of simplifiers = 9
% 45.14/45.49
% 45.14/45.49 Learnt:
% 45.14/45.49 #34: exists( #8, #32 ), references = 2, size of lhs = 17:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V7,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V8,V2,V11), P_c_PropLog_Othms-{F}(V12,V5,V13), c_in-{F}(V14,V13,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V14,V5,V11), P_c_insert-{F}(V15,V6,V4,V16), P_c_insert-{F}(V17,V12,V4,V16) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #37: mergings( V7 == V14; #35 ), references = 2, size of lhs = 14:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V7,V2,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V7,V2,V10), P_c_PropLog_Othms-{F}(V11,V5,V3), c_in-{F}(V12,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V12,V5,V10) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #40: mergings( V6 == V11; #38 ), references = 1, size of lhs = 11:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), c_in-{F}(V6,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V6,V2,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V8), P_c_PropLog_Othms-{F}(V9,V2,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #43: mergings( V5 == V10; #41 ), references = 2, size of lhs = 10:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), c_in-{F}(V6,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V6,V2,V7), P_c_PropLog_Othms-{F}(V8,V2,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #46: mergings( V6 == V9; #44 ), references = 6, size of lhs = 9:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), c_in-{F}(V6,V3,V4), P_c_PropLog_Othms-{F}(V7,V2,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #58: mergings( V4 == V8, V5 == V9; #55 ), references = 5, size of lhs = 10:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_c_PropLog_Othms-{F}(V5,V2,V3), P_v_q-{F}(V6), c_in-{F}(V6,V3,V4), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Othms-{F}(V8,V2,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #63: mergings( V4 == V8, V5 == V9, V2 == V10, V0 == V12; #54 ), references = 5, size of lhs = 10:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_c_PropLog_Othms-{F}(V5,V2,V3), P_v_q-{F}(V6), c_in-{F}(V6,V3,V4), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Othms-{F}(V8,V2,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #70: mergings( V3 == V5, V5 == V6; #66 ), references = 1, size of lhs = 6:
% 45.14/45.49 P_v_q-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_PropLog_Opl_Ofalse-{F}(V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #75: mergings( V2 == V3, V3 == V4; #71 ), references = 1, size of lhs = 5:
% 45.14/45.49 P_v_q-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Opl_Ofalse-{F}(V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #80: mergings( V1 == V2, V2 == V3; #76 ), references = 1, size of lhs = 4:
% 45.14/45.49 P_v_q-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #84: mergings( V3 == V5; #82 ), references = 1, size of lhs = 6:
% 45.14/45.49 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_q-{F}(V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #87: mergings( V2 == V3; #85 ), references = 1, size of lhs = 5:
% 45.14/45.49 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_v_q-{F}(V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #90: exists( #8, #88 ), references = 4, size of lhs = 7:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_q-{F}(V4), P_c_PropLog_Opl_Ofalse-{F}(V5), c_in-{F}(V5,V1,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #112: exists( #8, #108 ), references = 1, size of lhs = 14:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V12,V5,V8), P_c_insert-{F}(V11,V6,V4,V13), c_in-{F}(V12,V13,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #113: exists( #8, #109 ), references = 1, size of lhs = 14:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V12,V5,V8), P_c_insert-{F}(V11,V6,V4,V13), c_in-{F}(V12,V13,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #118: exists( #11, #114 ), references = 1, size of lhs = 12:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V11,V5,V8) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #119: exists( #11, #115 ), references = 1, size of lhs = 12:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V11,V5,V8) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #122: exists( #8, #116 ), references = 1, size of lhs = 7:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_q-{F}(V4), P_c_PropLog_Opl_Ofalse-{F}(V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V6,V2,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #128: exists( #10, #7 ), references = 3, size of lhs = 10:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V6,V2,V8), c_in-{F}(V8,V3,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #129: exists( #10, #37 ), references = 2, size of lhs = 13:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V2,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V7,V2,V9), P_c_PropLog_Othms-{F}(V10,V5,V3), c_in-{F}(V11,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V11,V5,V9) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #130: exists( #10, #34 ), references = 1, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V7,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V8,V2,V10), P_c_PropLog_Othms-{F}(V11,V5,V12), c_in-{F}(V13,V12,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V13,V5,V10), P_c_insert-{F}(V14,V6,V4,V15), P_c_insert-{F}(V16,V11,V4,V15) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #160: exists( #8, #153 ), references = 3, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), c_in-{F}(V9,V3,V4), P_c_PropLog_Othms-{F}(V10,V2,V3), P_v_q-{F}(V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V11,V7,V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V5,V12), P_c_insert-{F}(V15,V6,V4,V17), c_in-{F}(V16,V17,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #161: exists( #8, #154 ), references = 2, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), c_in-{F}(V9,V3,V4), P_c_PropLog_Othms-{F}(V10,V2,V3), P_v_q-{F}(V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V11,V7,V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V5,V12), P_c_insert-{F}(V15,V6,V4,V17), c_in-{F}(V16,V17,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #162: exists( #8, #156 ), references = 1, size of lhs = 13:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_c_PropLog_Othms-{F}(V5,V4,V1), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V9,V4,V7), P_c_insert-{F}(V8,V5,V3,V10), c_in-{F}(V11,V10,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V9,V4,V12), c_in-{F}(V12,V10,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #195: exists( #8, #189 ), references = 1, size of lhs = 11:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_c_PropLog_Othms-{F}(V5,V4,V1), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V9,V4,V7), P_c_insert-{F}(V8,V5,V3,V10), c_in-{F}(V9,V10,V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #196: exists( #8, #190 ), references = 1, size of lhs = 13:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V11,V5,V8), P_c_insert-{F}(V10,V6,V4,V12), c_in-{F}(V11,V12,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #197: exists( #8, #191 ), references = 1, size of lhs = 22:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), P_tc_PropLog_Opl-{F}(V9,V4), P_c_PropLog_Othms-{F}(V10,V9,V3), P_c_PropLog_Othms-{F}(V11,V2,V3), P_v_q-{F}(V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_insert-{F}(V15,V6,V4,V16), c_in-{F}(V17,V16,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V5,V18), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V12,V9,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V7,V19), P_c_insert-{F}(V20,V8,V4,V22), c_in-{F}(V21,V22,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #204: exists( #11, #198 ), references = 1, size of lhs = 9:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_c_PropLog_Othms-{F}(V5,V4,V1), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V8,V4,V7) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #205: exists( #11, #199 ), references = 1, size of lhs = 11:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V10,V5,V8) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #206: exists( #11, #200 ), references = 2, size of lhs = 20:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), P_tc_PropLog_Opl-{F}(V9,V4), P_c_PropLog_Othms-{F}(V10,V9,V3), P_c_PropLog_Othms-{F}(V11,V2,V3), P_v_q-{F}(V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V15,V5,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V12,V9,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V7,V17), P_c_insert-{F}(V18,V8,V4,V20), c_in-{F}(V19,V20,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #213: exists( #11, #207 ), references = 3, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), c_in-{F}(V9,V3,V4), P_c_PropLog_Othms-{F}(V10,V2,V3), P_v_q-{F}(V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V11,V7,V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V15,V5,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #214: exists( #11, #208 ), references = 1, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), c_in-{F}(V9,V3,V4), P_c_PropLog_Othms-{F}(V10,V2,V3), P_v_q-{F}(V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V11,V7,V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V15,V5,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #215: exists( #11, #209 ), references = 1, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), P_tc_PropLog_Opl-{F}(V9,V4), P_c_PropLog_Othms-{F}(V10,V9,V3), P_c_PropLog_Othms-{F}(V11,V2,V3), P_v_q-{F}(V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V15,V5,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V12,V9,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V18,V7,V17) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #264: exists( #8, #258 ), references = 2, size of lhs = 13:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_c_PropLog_Othms-{F}(V5,V4,V1), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Othms-{F}(V8,V4,V9), c_in-{F}(V10,V9,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V10,V4,V7), P_c_insert-{F}(V11,V5,V3,V12), P_c_insert-{F}(V13,V8,V3,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #265: exists( #8, #259 ), references = 1, size of lhs = 15:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V2,V3), P_c_PropLog_Othms-{F}(V10,V5,V11), c_in-{F}(V12,V11,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V12,V5,V8), P_c_insert-{F}(V13,V6,V4,V14), P_c_insert-{F}(V15,V10,V4,V14) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #266: exists( #8, #260 ), references = 1, size of lhs = 22:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), P_tc_PropLog_Opl-{F}(V9,V4), P_c_PropLog_Othms-{F}(V10,V9,V3), P_c_PropLog_Othms-{F}(V11,V2,V3), P_v_q-{F}(V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_PropLog_Othms-{F}(V15,V5,V16), c_in-{F}(V17,V16,V4), P_c_insert-{F}(V18,V15,V4,V19), P_c_insert-{F}(V20,V6,V4,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V17,V5,V21), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V12,V9,V22), P_c_PropLog_Opl_Oop_A_N_62-{F}(V23,V23,V7,V22) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #271: mergings( V5 == V10; #267 ), references = 2, size of lhs = 10:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Othms-{F}(V7,V4,V1), c_in-{F}(V8,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V8,V4,V6) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #273: mergings( V7 == V12; #268 ), references = 2, size of lhs = 12:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Othms-{F}(V8,V2,V3), P_c_PropLog_Othms-{F}(V9,V5,V3), c_in-{F}(V10,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V10,V5,V7) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #275: mergings( V7 == V17; #269 ), references = 1, size of lhs = 19:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_tc_PropLog_Opl-{F}(V6,V4), P_c_PropLog_Othms-{F}(V7,V6,V3), P_tc_PropLog_Opl-{F}(V8,V4), P_c_PropLog_Othms-{F}(V9,V8,V3), P_c_PropLog_Othms-{F}(V10,V2,V3), P_v_q-{F}(V11), P_c_PropLog_Opl_Ofalse-{F}(V12), P_c_PropLog_Othms-{F}(V13,V2,V3), P_c_PropLog_Othms-{F}(V14,V5,V3), c_in-{F}(V15,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V15,V5,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V11,V8,V18), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V19,V6,V18) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #336: exists( #8, #330 ), references = 1, size of lhs = 19:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V7,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V8,V2,V10), P_c_insert-{F}(V11,V6,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V13,V5,V10), c_in-{F}(V14,V12,V4), P_c_PropLog_Othms-{F}(V15,V5,V16), P_c_insert-{F}(V17,V15,V4,V12), c_in-{F}(V18,V16,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V13,V5,V18) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #337: exists( #8, #331 ), references = 1, size of lhs = 20:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V7,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V8,V2,V11), P_c_insert-{F}(V12,V6,V4,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V14,V5,V11), c_in-{F}(V15,V13,V4), P_c_PropLog_Othms-{F}(V16,V5,V17), P_c_insert-{F}(V18,V16,V4,V13), c_in-{F}(V19,V17,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V20,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V14,V5,V19) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #338: exists( #8, #332 ), references = 1, size of lhs = 22:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V8,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V9,V2,V11), P_c_PropLog_Othms-{F}(V12,V7,V3), P_c_insert-{F}(V13,V6,V4,V14), c_in-{F}(V15,V14,V4), P_c_PropLog_Othms-{F}(V16,V5,V17), P_c_insert-{F}(V18,V16,V4,V14), c_in-{F}(V19,V17,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V20,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V5,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V21,V5,V22), P_c_PropLog_Opl_Oop_A_N_62-{F}(V23,V22,V7,V11) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #346: mergings( V7 == V14; #342 ), references = 1, size of lhs = 15:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V2,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V7,V2,V9), P_c_PropLog_Othms-{F}(V10,V5,V3), c_in-{F}(V11,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V13,V5,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V12,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V13,V5,V9) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #348: mergings( V7 == V15; #343 ), references = 1, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V7,V2,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V7,V2,V10), P_c_PropLog_Othms-{F}(V11,V5,V3), c_in-{F}(V12,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V5,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V13,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V14,V5,V10) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #350: mergings( V7 == V15; #344 ), references = 1, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_tc_PropLog_Opl-{F}(V6,V4), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V7,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V8,V2,V10), P_c_PropLog_Othms-{F}(V11,V6,V3), P_c_PropLog_Othms-{F}(V12,V5,V3), c_in-{F}(V13,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V16,V5,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V5,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V17,V6,V10) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #354: mergings( V6 == V10; #351 ), references = 1, size of lhs = 12:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V7), P_c_PropLog_Othms-{F}(V8,V2,V3), c_in-{F}(V9,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V6,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V10,V2,V7) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #356: mergings( V6 == V11; #352 ), references = 1, size of lhs = 13:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V6,V2,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V8), P_c_PropLog_Othms-{F}(V9,V2,V3), c_in-{F}(V10,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V6,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V11,V2,V8) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #418: exists( #8, #412 ), references = 1, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_c_PropLog_Othms-{F}(V5,V4,V1), P_tc_PropLog_Opl-{F}(V6,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V6,V1), P_c_insert-{F}(V10,V5,V3,V11), c_in-{F}(V12,V11,V3), P_c_PropLog_Othms-{F}(V13,V4,V14), c_in-{F}(V15,V14,V3), P_c_insert-{F}(V16,V13,V3,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V17,V4,V18), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V18,V6,V8) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #419: exists( #8, #413 ), references = 1, size of lhs = 20:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_PropLog_Othms-{F}(V11,V7,V3), P_c_insert-{F}(V12,V6,V4,V13), c_in-{F}(V14,V13,V4), P_c_PropLog_Othms-{F}(V15,V5,V16), c_in-{F}(V17,V16,V4), P_c_insert-{F}(V18,V15,V4,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V19,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V19,V5,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V20,V7,V9) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #420: exists( #8, #414 ), references = 1, size of lhs = 21:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_PropLog_Opl-{F}(V4,V3), P_tc_PropLog_Opl-{F}(V5,V3), P_c_PropLog_Othms-{F}(V6,V5,V1), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V4,V10), c_in-{F}(V11,V10,V3), P_c_insert-{F}(V12,V9,V3,V13), c_in-{F}(V14,V13,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V15,V4,V14), P_c_PropLog_Othms-{F}(V16,V4,V17), P_c_PropLog_Othms-{F}(V18,V5,V17), P_c_insert-{F}(V19,V16,V3,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V15,V4,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V20,V5,V8), P_c_insert-{F}(V21,V6,V3,V22), P_c_insert-{F}(V23,V18,V3,V22) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #448: exists( #8, #442 ), references = 1, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_insert-{F}(V11,V6,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V13,V5,V8), c_in-{F}(V14,V12,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V13,V5,V14), c_in-{F}(V15,V16,V4), P_c_PropLog_Othms-{F}(V17,V5,V16), P_c_insert-{F}(V18,V17,V4,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #449: exists( #8, #443 ), references = 1, size of lhs = 18:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_insert-{F}(V11,V6,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V13,V5,V8), c_in-{F}(V14,V12,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V13,V5,V14), c_in-{F}(V15,V16,V4), P_c_PropLog_Othms-{F}(V17,V5,V16), P_c_insert-{F}(V18,V17,V4,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #450: exists( #8, #444 ), references = 1, size of lhs = 24:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_tc_PropLog_Opl-{F}(V7,V4), P_c_PropLog_Othms-{F}(V8,V7,V3), P_tc_PropLog_Opl-{F}(V9,V4), P_c_PropLog_Othms-{F}(V10,V9,V3), P_c_PropLog_Othms-{F}(V11,V2,V3), P_v_q-{F}(V12), P_c_PropLog_Opl_Ofalse-{F}(V13), P_c_PropLog_Othms-{F}(V14,V2,V3), P_c_insert-{F}(V15,V6,V4,V16), c_in-{F}(V17,V16,V4), P_c_PropLog_Othms-{F}(V18,V5,V19), c_in-{F}(V20,V19,V4), P_c_insert-{F}(V21,V18,V4,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V22,V5,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V22,V5,V23), P_c_PropLog_Opl_Oop_A_N_62-{F}(V23,V12,V9,V24), P_c_PropLog_Opl_Oop_A_N_62-{F}(V25,V25,V7,V24) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #490: exists( #8, #484 ), references = 1, size of lhs = 22:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_insert-{F}(V11,V6,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V13,V5,V8), c_in-{F}(V14,V12,V4), P_c_PropLog_Othms-{F}(V15,V5,V16), c_in-{F}(V17,V16,V4), P_c_insert-{F}(V18,V15,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V19,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V13,V5,V20), c_in-{F}(V20,V21,V4), P_c_PropLog_Othms-{F}(V22,V5,V21), P_c_insert-{F}(V23,V22,V4,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #491: exists( #8, #485 ), references = 1, size of lhs = 22:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V2,V3), P_v_q-{F}(V8), P_c_PropLog_Opl_Ofalse-{F}(V9), P_c_PropLog_Othms-{F}(V10,V2,V3), P_c_insert-{F}(V11,V6,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V13,V5,V8), c_in-{F}(V14,V12,V4), P_c_PropLog_Othms-{F}(V15,V5,V16), c_in-{F}(V17,V16,V4), P_c_insert-{F}(V18,V15,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V19,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V13,V5,V20), c_in-{F}(V20,V21,V4), P_c_PropLog_Othms-{F}(V22,V5,V21), P_c_insert-{F}(V23,V22,V4,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #492: exists( #8, #486 ), references = 1, size of lhs = 22:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V7,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V8,V2,V10), P_c_insert-{F}(V11,V6,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V13,V5,V10), c_in-{F}(V14,V12,V4), P_c_PropLog_Othms-{F}(V15,V5,V16), c_in-{F}(V17,V16,V4), P_c_insert-{F}(V18,V15,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V19,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V13,V5,V20), c_in-{F}(V20,V21,V4), P_c_PropLog_Othms-{F}(V22,V5,V21), P_c_insert-{F}(V23,V22,V4,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #501: mergings( V7 == V14, V14 == V18; #496 ), references = 1, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V2,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V2,V3), c_in-{F}(V10,V3,V4), P_c_PropLog_Othms-{F}(V11,V5,V3), c_in-{F}(V12,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V13,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V5,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V15,V5,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #504: mergings( V7 == V14, V14 == V18; #497 ), references = 1, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V2,V3), P_v_q-{F}(V7), P_c_PropLog_Opl_Ofalse-{F}(V8), P_c_PropLog_Othms-{F}(V9,V2,V3), c_in-{F}(V10,V3,V4), P_c_PropLog_Othms-{F}(V11,V5,V3), c_in-{F}(V12,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V13,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V5,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V15,V5,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #507: mergings( V7 == V14, V14 == V18; #498 ), references = 1, size of lhs = 16:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_v_q-{F}(V6), P_c_PropLog_Opl_Ofalse-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V2,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V7,V2,V9), c_in-{F}(V10,V3,V4), P_c_PropLog_Othms-{F}(V11,V5,V3), c_in-{F}(V12,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V13,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V5,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V15,V5,V12) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #511: mergings( V6 == V10, V10 == V12; #508 ), references = 1, size of lhs = 13:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V7), c_in-{F}(V8,V3,V4), P_c_PropLog_Othms-{F}(V9,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V10,V2,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V6,V2,V11), c_in-{F}(V11,V3,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #519: mergings( V10 == V6, V6 == V14, V4 == V8, V5 == V9, V0 == V12; #513 ), references = 1, size of lhs = 11:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_PropLog_Othms-{F}(V1,V2,V4), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V2,V7), P_c_PropLog_Othms-{F}(V8,V2,V4), c_in-{F}(V9,V4,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V5,V2,V7) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #525: mergings( V9 == V7, V7 == V12, V4 == V0, V5 == V6; #520 ), references = 1, size of lhs = 9:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_PropLog_Othms-{F}(V1,V2,V4), c_in-{F}(V0,V4,V3), P_v_q-{F}(V5), P_c_PropLog_Opl_Ofalse-{F}(V6), P_c_PropLog_Othms-{F}(V7,V2,V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #529: mergings( V4 == V5; #527 ), references = 1, size of lhs = 6:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_q-{F}(V4), P_c_PropLog_Opl_Ofalse-{F}(V5) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #532: mergings( V2 == V3; #530 ), references = 1, size of lhs = 5:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_v_q-{F}(V3), P_c_PropLog_Opl_Ofalse-{F}(V4) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #535: mergings( V1 == V2; #533 ), references = 1, size of lhs = 4:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_v_q-{F}(V3) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #538: mergings( V1 == V2; #536 ), references = 1, size of lhs = 3:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #541: mergings( V1 == V2; #539 ), references = 1, size of lhs = 2:
% 45.14/45.49 P_v_p-{F}(V0), P_v_H-{F}(V1) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #544: mergings( V1 == V2; #542 ), references = 1, size of lhs = 1:
% 45.14/45.49 P_v_p-{F}(V0) | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 #546: exists( #12, #542 ), references = 1, size of lhs = 0:
% 45.14/45.49 FALSE | FALSE
% 45.14/45.49 (used 0 times, uses = {})
% 45.14/45.49
% 45.14/45.49 number of learnt formulas = 69
% 45.14/45.49
% 45.14/45.49
% 45.14/45.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.14/45.49
% 45.14/45.49 randbase = 1
%------------------------------------------------------------------------------