TSTP Solution File: LCL439-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:09:18 EDT 2022
% Result : Unsatisfiable 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 21:38:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.18 GeoParameters:
% 1.01/1.18
% 1.01/1.18 tptp_input = 1
% 1.01/1.18 tptp_output = 0
% 1.01/1.18 nonempty = 1
% 1.01/1.18 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18
% 1.01/1.18 RuleSystem INPUT:
% 1.01/1.18
% 1.01/1.18 Initial Rules:
% 1.01/1.18 #0: input, references = 12, size of lhs = 6:
% 1.01/1.18 P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Othms-{F}(V5,V3,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V7), P_c_PropLog_Othms-{F}(V2,V3,V8), c_in-{F}(V0,V6,V4) | c_in-{T}(V7,V8,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #1: input, references = 9, size of lhs = 3:
% 1.01/1.18 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)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #2: input, references = 7, size of lhs = 7:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), #-{F} V5, P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V0,V2,V7), c_in-{F}(V6,V3,V4), c_in-{F}(V7,V3,V4) | c_in-{T}(V5,V3,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #3: input, references = 11, size of lhs = 6:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), c_in-{F}(V1,V4,V5), P_c_insert-{F}(V6,V3,V5,V7), P_c_PropLog_Othms-{F}(V7,V2,V8) | c_in-{T}(V1,V8,V5)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #4: input, references = 5, size of lhs = 2:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_insert-{F}(V2,V3,V1,V4) | c_in-{T}(V2,V4,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #5: input, references = 6, size of lhs = 7:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_tc_PropLog_Opl-{F}(V2,V6) | c_in-{T}(V3,V5,V6)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #6: input, references = 6, size of lhs = 10:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_tc_PropLog_Opl-{F}(V2,V6), P_v_q-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V7,V2,V8), c_in-{F}(V8,V5,V6) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #7: input, references = 9, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #8: input, references = 5, size of lhs = 3:
% 1.01/1.18 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #9: input, references = 4, size of lhs = 1:
% 1.01/1.18 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #10: input, references = 10, size of lhs = 3:
% 1.01/1.18 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #11: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_c_PropLog_Opl_Ofalse-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #12: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #13: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #14: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #15: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_v_q-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of initial rules = 16
% 1.01/1.18
% 1.01/1.18 Simplifiers:
% 1.01/1.18 #16: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #17: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #18: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #19: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 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
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #20: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Opl_Ofalse-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #21: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #22: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #23: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #24: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_v_q-{F}(V0), P_v_q-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of simplifiers = 9
% 1.01/1.18
% 1.01/1.18 Learnt:
% 1.01/1.18 #26: exists( #10, #6 ), references = 6, size of lhs = 9:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_v_q-{F}(V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V6,V2,V7), c_in-{F}(V7,V4,V5) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #31: mergings( V4 == V5; #29 ), references = 2, size of lhs = 15:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_v_q-{F}(V7), P_c_PropLog_Othms-{F}(V8,V6,V4), c_in-{F}(V7,V9,V5), P_c_PropLog_Othms-{F}(V10,V2,V9), P_c_insert-{F}(V1,V11,V5,V10), P_c_PropLog_Othms-{F}(V11,V2,V12), P_c_PropLog_Othms-{F}(V13,V6,V12), P_c_insert-{F}(V14,V13,V5,V8) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #35: mergings( V4 == V5; #33 ), references = 2, size of lhs = 12:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), c_in-{F}(V8,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V0,V6,V9), c_in-{F}(V9,V4,V5), P_v_q-{F}(V10) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #38: exists( #10, #36 ), references = 3, size of lhs = 14:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), c_in-{F}(V9,V4,V5), P_v_q-{F}(V10), P_c_insert-{F}(V9,V7,V5,V11), P_c_PropLog_Othms-{F}(V11,V6,V12), c_in-{F}(V0,V12,V5) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #47: mergings( V3 == V4; #45 ), references = 1, size of lhs = 16:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_v_q-{F}(V7), c_in-{F}(V7,V8,V5), P_c_PropLog_Othms-{F}(V9,V2,V8), P_c_PropLog_Othms-{F}(V10,V6,V4), P_c_insert-{F}(V11,V9,V5,V12), P_c_insert-{F}(V1,V13,V5,V12), P_c_PropLog_Othms-{F}(V13,V2,V14), P_c_PropLog_Othms-{F}(V15,V6,V14), P_c_insert-{F}(V16,V15,V5,V10) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #51: mergings( V11 == V13, V4 == V5; #48 ), references = 1, size of lhs = 13:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_v_q-{F}(V7), P_c_PropLog_Othms-{F}(V8,V6,V4), c_in-{F}(V7,V9,V5), P_c_PropLog_Othms-{F}(V10,V2,V9), P_c_PropLog_Othms-{F}(V11,V6,V9), P_c_insert-{F}(V12,V11,V5,V8) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #61: exists( #7, #56 ), references = 1, size of lhs = 13:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_v_q-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V8,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V11,V6,V9), P_c_insert-{F}(V10,V7,V5,V12), c_in-{F}(V11,V12,V5) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #63: exists( #10, #58 ), references = 1, size of lhs = 10:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V4), P_v_q-{F}(V7), P_c_insert-{F}(V1,V6,V5,V8), c_in-{F}(V7,V8,V5) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #85: mergings( V3 == V4; #81 ), references = 2, size of lhs = 15:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_v_q-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V8,V2,V9), P_c_PropLog_Othms-{F}(V10,V6,V11), c_in-{F}(V12,V11,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V12,V6,V9), P_c_insert-{F}(V13,V7,V5,V14), P_c_insert-{F}(V15,V10,V5,V14) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #87: mergings( V3 == V4; #82 ), references = 2, size of lhs = 20:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_tc_PropLog_Opl-{F}(V8,V5), P_c_PropLog_Othms-{F}(V9,V8,V4), P_c_PropLog_Othms-{F}(V10,V8,V4), P_v_q-{F}(V11), c_in-{F}(V0,V12,V5), P_c_PropLog_Othms-{F}(V13,V8,V12), P_c_insert-{F}(V14,V9,V5,V13), P_c_PropLog_Othms-{F}(V15,V6,V16), c_in-{F}(V17,V16,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V17,V6,V14), P_c_insert-{F}(V18,V7,V5,V19), P_c_insert-{F}(V20,V15,V5,V19) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #89: mergings( V3 == V4; #83 ), references = 1, size of lhs = 16:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_tc_PropLog_Opl-{F}(V2,V6), P_tc_PropLog_Opl-{F}(V7,V6), P_c_PropLog_Othms-{F}(V8,V7,V5), P_v_q-{F}(V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V9,V2,V10), P_c_PropLog_Othms-{F}(V11,V7,V12), c_in-{F}(V13,V12,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V13,V7,V10), P_c_insert-{F}(V14,V8,V6,V15), P_c_insert-{F}(V16,V11,V6,V15) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #94: exists( #7, #90 ), references = 1, size of lhs = 13:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), c_in-{F}(V9,V4,V5), P_v_q-{F}(V10), P_c_insert-{F}(V9,V7,V5,V11), c_in-{F}(V0,V11,V5) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #95: exists( #7, #91 ), references = 1, size of lhs = 19:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_tc_PropLog_Opl-{F}(V8,V5), P_c_PropLog_Othms-{F}(V9,V8,V4), P_c_PropLog_Othms-{F}(V10,V8,V4), P_v_q-{F}(V11), c_in-{F}(V0,V12,V5), P_c_insert-{F}(V13,V9,V5,V12), P_c_PropLog_Othms-{F}(V14,V6,V15), c_in-{F}(V16,V15,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V16,V6,V13), P_c_insert-{F}(V17,V7,V5,V18), P_c_insert-{F}(V19,V14,V5,V18) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #122: mergings( V3 == V4, V4 == V5; #117 ), references = 1, size of lhs = 17:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_v_q-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V8,V2,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V0,V6,V11), c_in-{F}(V11,V12,V5), P_c_PropLog_Othms-{F}(V13,V6,V12), c_in-{F}(V10,V14,V5), P_c_insert-{F}(V15,V13,V5,V14), P_c_insert-{F}(V16,V7,V5,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V6,V9) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #125: mergings( V3 == V4, V4 == V5; #118 ), references = 1, size of lhs = 18:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_tc_PropLog_Opl-{F}(V2,V6), P_tc_PropLog_Opl-{F}(V7,V6), P_c_PropLog_Othms-{F}(V8,V7,V5), P_v_q-{F}(V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V9,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V0,V7,V12), c_in-{F}(V12,V13,V6), P_c_PropLog_Othms-{F}(V14,V7,V13), c_in-{F}(V11,V15,V6), P_c_insert-{F}(V16,V14,V6,V15), P_c_insert-{F}(V17,V8,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V7,V10) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #128: mergings( V3 == V4, V4 == V5; #119 ), references = 1, size of lhs = 23:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_tc_PropLog_Opl-{F}(V7,V5), P_c_PropLog_Othms-{F}(V8,V7,V4), P_v_q-{F}(V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V9,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V0,V6,V12), c_in-{F}(V12,V13,V5), P_c_PropLog_Othms-{F}(V14,V6,V13), c_in-{F}(V11,V15,V5), P_c_insert-{F}(V16,V14,V5,V15), P_c_PropLog_Othms-{F}(V17,V6,V18), P_c_PropLog_Othms-{F}(V19,V7,V18), P_c_insert-{F}(V20,V17,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V6,V22), P_c_PropLog_Opl_Oop_A_N_62-{F}(V23,V22,V7,V10), P_c_insert-{F}(V23,V8,V5,V24), P_c_insert-{F}(V25,V19,V5,V24) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #138: mergings( V7 == V1, V4 == V8, V5 == V9; #133 ), references = 1, size of lhs = 14:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V4), P_v_q-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V7,V2,V8), P_c_PropLog_Othms-{F}(V9,V2,V4), c_in-{F}(V1,V10,V5), P_c_insert-{F}(V11,V9,V5,V10), P_c_insert-{F}(V12,V6,V5,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V13,V2,V8) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #145: mergings( V7 == V1, V1 == V8, V0 == V9, V2 == V10, V4 == V11, V5 == V12; #132 ), references = 1, size of lhs = 14:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V5), P_v_q-{F}(V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V7,V2,V8), P_c_PropLog_Othms-{F}(V9,V2,V5), c_in-{F}(V1,V10,V3), P_c_insert-{F}(V11,V9,V3,V10), P_c_insert-{F}(V12,V6,V3,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V13,V2,V8) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #152: mergings( V7 == V1, V1 == V8, V0 == V9, V2 == V10, V4 == V11, V5 == V12; #134 ), references = 1, size of lhs = 20:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_tc_PropLog_Opl-{F}(V6,V3), P_c_PropLog_Othms-{F}(V7,V6,V5), P_v_q-{F}(V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V8,V2,V9), P_c_PropLog_Othms-{F}(V10,V2,V5), c_in-{F}(V1,V11,V3), P_c_insert-{F}(V12,V10,V3,V11), P_c_PropLog_Othms-{F}(V13,V2,V14), P_c_PropLog_Othms-{F}(V15,V6,V14), P_c_insert-{F}(V16,V13,V3,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V2,V18), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V18,V6,V9), P_c_insert-{F}(V19,V7,V3,V20), P_c_insert-{F}(V21,V15,V3,V20) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #158: mergings( V5 == V6, V4 == V8, V7 == V9; #153 ), references = 1, size of lhs = 12:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V4), P_v_q-{F}(V7), P_c_PropLog_Othms-{F}(V8,V2,V4), P_c_insert-{F}(V1,V6,V5,V9), c_in-{F}(V1,V9,V5), P_c_insert-{F}(V10,V8,V5,V9) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #164: mergings( V7 == V8, V8 == V9, V4 == V0, V5 == V11, V6 == V12; #154 ), references = 1, size of lhs = 12:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V5), P_v_q-{F}(V7), P_c_PropLog_Othms-{F}(V8,V2,V5), P_c_insert-{F}(V1,V6,V3,V9), c_in-{F}(V1,V9,V3), P_c_insert-{F}(V10,V8,V3,V9) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #173: mergings( V11 == V9, V4 == V6, V6 == V7, V5 == V10; #167 ), references = 1, size of lhs = 8:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V4), P_v_q-{F}(V7) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #179: mergings( V12 == V10, V4 == V6, V6 == V7, V7 == V8, V5 == V11; #168 ), references = 1, size of lhs = 8:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V5), P_v_q-{F}(V7) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #184: mergings( V3 == V4, V4 == V5; #180 ), references = 1, size of lhs = 6:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_q-{F}(V5) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #189: mergings( V2 == V3, V3 == V4; #185 ), references = 1, size of lhs = 5:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_v_q-{F}(V4) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #194: mergings( V1 == V2, V2 == V3; #190 ), references = 1, size of lhs = 4:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #199: mergings( V1 == V2, V2 == V3; #195 ), references = 1, size of lhs = 3:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #204: mergings( V1 == V2, V2 == V3; #200 ), references = 1, size of lhs = 2:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0), P_v_p-{F}(V1) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #209: mergings( V1 == V2, V2 == V3; #205 ), references = 1, size of lhs = 1:
% 1.01/1.18 P_c_PropLog_Opl_Ofalse-{F}(V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #212: exists( #11, #205 ), references = 1, size of lhs = 0:
% 1.01/1.18 FALSE | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of learnt formulas = 30
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18
% 1.01/1.18 randbase = 1
%------------------------------------------------------------------------------