TSTP Solution File: LCL446-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:09:19 EDT 2022
% Result : Unsatisfiable 1.90s 2.10s
% Output : Refutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 22:03:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.90/2.10 GeoParameters:
% 1.90/2.10
% 1.90/2.10 tptp_input = 1
% 1.90/2.10 tptp_output = 0
% 1.90/2.10 nonempty = 1
% 1.90/2.10 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.10 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.90/2.10
% 1.90/2.10
% 1.90/2.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.10
% 1.90/2.10 RuleSystem INPUT:
% 1.90/2.10
% 1.90/2.10 Initial Rules:
% 1.90/2.10 #0: input, references = 6, size of lhs = 7:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), c_in-{F}(V2,V4,V5) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #1: input, references = 12, size of lhs = 10:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V6,V8,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V10,V8,V11), P_c_PropLog_Othms-{F}(V9,V8,V12), P_tc_PropLog_Opl-{F}(V8,V13) | c_in-{T}(V11,V12,V13)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #2: input, references = 10, size of lhs = 11:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_c_PropLog_Othms-{F}(V8,V7,V9), P_tc_PropLog_Opl-{F}(V7,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V6,V7,V12), c_in-{F}(V11,V9,V10), c_in-{F}(V12,V9,V10) | c_in-{T}(V6,V9,V10)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #3: input, references = 6, size of lhs = 14:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V10,V8,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V11,V8,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V7,V8,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V10,V8,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V8,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V15,V8,V16), P_c_PropLog_Othms-{F}(V9,V8,V17), P_tc_PropLog_Opl-{F}(V8,V18) | c_in-{T}(V16,V17,V18)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #4: input, references = 20, size of lhs = 3:
% 1.90/2.10 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #5: input, references = 4, size of lhs = 0:
% 1.90/2.10 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #6: input, references = 4, size of lhs = 0:
% 1.90/2.10 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #7: input, references = 4, size of lhs = 2:
% 1.90/2.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #8: input, references = 4, size of lhs = 0:
% 1.90/2.10 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #9: input, references = 4, size of lhs = 1:
% 1.90/2.10 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 number of initial rules = 10
% 1.90/2.10
% 1.90/2.10 Simplifiers:
% 1.90/2.10 #10: unsound, references = 3, size of lhs = 3:
% 1.90/2.10 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
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #11: unsound, references = 3, size of lhs = 3:
% 1.90/2.10 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #12: unsound, references = 3, size of lhs = 3:
% 1.90/2.10 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #13: unsound, references = 3, size of lhs = 3:
% 1.90/2.10 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #14: unsound, references = 3, size of lhs = 3:
% 1.90/2.10 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #15: unsound, references = 3, size of lhs = 3:
% 1.90/2.10 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 number of simplifiers = 6
% 1.90/2.10
% 1.90/2.10 Learnt:
% 1.90/2.10 #21: mergings( V3 == V6, V4 == V7, V5 == V8; #17 ), references = 1, size of lhs = 7:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_c_PropLog_Othms-{F}(V5,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V0,V1,V0) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #43: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V1, V7 == V13, V8 == V14, V13 == V18, V14 == V19, V9 == V15, V15 == V20; #30 ), references = 3, size of lhs = 11:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,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_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V9,V6,V2) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #61: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #48 ), references = 2, size of lhs = 15:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,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_tc_PropLog_Opl-{F}(V10,V5), P_c_PropLog_Othms-{F}(V11,V10,V4), P_c_PropLog_Othms-{F}(V12,V10,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V9,V6,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V14,V10,V2) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #89: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #75 ), references = 1, size of lhs = 19:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_tc_PropLog_Opl-{F}(V9,V5), P_c_PropLog_Othms-{F}(V10,V9,V4), P_c_PropLog_Othms-{F}(V11,V9,V4), c_in-{F}(V12,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V9,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V6,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V6,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V6,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V18,V6,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V20,V6,V14) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #102: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #76 ), references = 1, size of lhs = 23:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_tc_PropLog_Opl-{F}(V9,V5), P_c_PropLog_Othms-{F}(V10,V9,V4), P_c_PropLog_Othms-{F}(V11,V9,V4), P_tc_PropLog_Opl-{F}(V12,V5), P_c_PropLog_Othms-{F}(V13,V12,V4), P_c_PropLog_Othms-{F}(V14,V12,V4), c_in-{F}(V15,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V12,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V9,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V22,V23,V6,V21), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V22,V6,V24), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V23,V6,V25), P_c_PropLog_Opl_Oop_A_N_62-{F}(V24,V25,V6,V19) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #117: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #103 ), references = 1, size of lhs = 19:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_tc_PropLog_Opl-{F}(V9,V5), P_c_PropLog_Othms-{F}(V10,V9,V4), P_c_PropLog_Othms-{F}(V11,V9,V4), c_in-{F}(V12,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V9,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V6,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V6,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V6,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V18,V6,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V20,V6,V14) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #130: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #104 ), references = 1, size of lhs = 23:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_tc_PropLog_Opl-{F}(V9,V5), P_c_PropLog_Othms-{F}(V10,V9,V4), P_c_PropLog_Othms-{F}(V11,V9,V4), P_tc_PropLog_Opl-{F}(V12,V5), P_c_PropLog_Othms-{F}(V13,V12,V4), P_c_PropLog_Othms-{F}(V14,V12,V4), c_in-{F}(V15,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V12,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V9,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V22,V23,V6,V21), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V22,V6,V24), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V23,V6,V25), P_c_PropLog_Opl_Oop_A_N_62-{F}(V24,V25,V6,V19) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #153: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V17 == V23, V18 == V24, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V19 == V25, V20 == V26, V9 == V15, V15 == V21, V21 == V27; #133 ), references = 1, size of lhs = 19:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_c_PropLog_Othms-{F}(V9,V6,V4), P_tc_PropLog_Opl-{F}(V10,V5), P_c_PropLog_Othms-{F}(V11,V10,V4), P_c_PropLog_Othms-{F}(V12,V10,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V10,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V6,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V19,V6,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V6,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V17,V6,V20) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #172: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V17 == V23, V18 == V24, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V19 == V25, V20 == V26, V9 == V15, V15 == V21, V21 == V27; #134 ), references = 1, size of lhs = 23:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_c_PropLog_Othms-{F}(V9,V6,V4), P_tc_PropLog_Opl-{F}(V10,V5), P_c_PropLog_Othms-{F}(V11,V10,V4), P_c_PropLog_Othms-{F}(V12,V10,V4), P_tc_PropLog_Opl-{F}(V13,V5), P_c_PropLog_Othms-{F}(V14,V13,V4), P_c_PropLog_Othms-{F}(V15,V13,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V13,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V10,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V6,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V22,V23,V6,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V22,V24,V6,V21), P_c_PropLog_Opl_Oop_A_N_62-{F}(V23,V24,V6,V25), P_c_PropLog_Opl_Oop_A_N_62-{F}(V26,V22,V6,V25) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #201: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V17 == V23, V18 == V24, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V19 == V25, V20 == V26, V9 == V15, V15 == V21, V21 == V27; #182 ), references = 2, size of lhs = 19:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_tc_PropLog_Opl-{F}(V9,V5), P_c_PropLog_Othms-{F}(V10,V9,V4), c_in-{F}(V11,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V2,V9,V12), c_in-{F}(V13,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V6,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V16,V6,V18), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V17,V6,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V6,V12) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #210: mergings( V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14, V9 == V15; #203 ), references = 1, size of lhs = 19:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_c_PropLog_Othms-{F}(V9,V6,V4), P_tc_PropLog_Opl-{F}(V10,V5), P_c_PropLog_Othms-{F}(V11,V10,V4), c_in-{F}(V12,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V2,V10,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V6,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V6,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V18,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V6,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V16,V6,V19) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #218: mergings( V4 == V10, V5 == V11, V6 == V1, V7 == V12, V8 == V13, V9 == V14; #211 ), references = 2, size of lhs = 16:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_tc_PropLog_Opl-{F}(V6,V5), P_c_PropLog_Othms-{F}(V7,V6,V4), P_c_PropLog_Othms-{F}(V8,V6,V4), P_c_PropLog_Othms-{F}(V9,V6,V4), P_c_PropLog_Othms-{F}(V10,V6,V4), c_in-{F}(V11,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V13,V6,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V14,V6,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V6,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V12,V6,V15) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #227: mergings( V3 == V6, V4 == V7, V6 == V9, V7 == V10, V5 == V8, V8 == V11; #220 ), references = 1, size of lhs = 16:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V1,V3), P_c_PropLog_Othms-{F}(V8,V1,V3), P_c_PropLog_Othms-{F}(V9,V1,V3), P_c_PropLog_Othms-{F}(V10,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V11,V1,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V0,V1,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V0,V1,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V5,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V15,V5,V16) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #243: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #230 ), references = 1, size of lhs = 20:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,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_tc_PropLog_Opl-{F}(V10,V5), P_c_PropLog_Othms-{F}(V11,V10,V4), P_c_PropLog_Othms-{F}(V12,V10,V4), P_c_PropLog_Othms-{F}(V13,V10,V4), P_c_PropLog_Othms-{F}(V14,V10,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V10,V2), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V10,V18), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V16,V10,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V15,V10,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V9,V6,V18) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #255: mergings( V3 == V6, V4 == V7, V6 == V9, V7 == V10, V9 == V12, V10 == V13, V5 == V8, V8 == V11, V11 == V14; #245 ), references = 1, size of lhs = 20:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,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_c_PropLog_Othms-{F}(V9,V7,V3), P_c_PropLog_Othms-{F}(V10,V1,V3), P_c_PropLog_Othms-{F}(V11,V1,V3), P_c_PropLog_Othms-{F}(V12,V1,V3), P_c_PropLog_Othms-{F}(V13,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V14,V1,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V0,V1,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V0,V1,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V19,V7,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V21,V5,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V22,V20,V5,V21) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #266: mergings( V4 == V5, V7 == V9, V5 == V6, V9 == V11, V6 == V13, V11 == V14, V8 == V10, V10 == V12, V12 == V15; #256 ), references = 1, size of lhs = 17:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V1,V3), P_c_PropLog_Othms-{F}(V8,V1,V3), P_c_PropLog_Othms-{F}(V9,V1,V3), P_c_PropLog_Othms-{F}(V10,V1,V3), P_c_PropLog_Othms-{F}(V11,V1,V3), P_c_PropLog_Othms-{F}(V12,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V0,V1,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V0,V1,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V18,V16,V5,V17) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #277: mergings( V4 == V5, V7 == V9, V5 == V6, V9 == V11, V6 == V13, V11 == V14, V8 == V10, V10 == V12, V12 == V15; #267 ), references = 2, size of lhs = 15:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V1,V3), P_c_PropLog_Othms-{F}(V8,V1,V3), P_c_PropLog_Othms-{F}(V9,V1,V3), P_c_PropLog_Othms-{F}(V10,V1,V3), P_c_PropLog_Othms-{F}(V11,V1,V3), P_c_PropLog_Othms-{F}(V12,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V5,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V5,V16) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #282: mergings( V4 == V5, V5 == V6, V6 == V7; #278 ), references = 2, size of lhs = 6:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_tc_PropLog_Opl-{F}(V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V4,V5,V1,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V6,V1,V7) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #286: exists( #4, #282 ), references = 1, size of lhs = 5:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_tc_PropLog_Opl-{F}(V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V4,V5,V1,V6) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #287: exists( #4, #277 ), references = 1, size of lhs = 14:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V1,V3), P_c_PropLog_Othms-{F}(V8,V1,V3), P_c_PropLog_Othms-{F}(V9,V1,V3), P_c_PropLog_Othms-{F}(V10,V1,V3), P_c_PropLog_Othms-{F}(V11,V1,V3), P_c_PropLog_Othms-{F}(V12,V1,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V5,V15) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #291: exists( #4, #288 ), references = 1, size of lhs = 4:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2), P_tc_PropLog_Opl-{F}(V1,V3) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #293: exists( #9, #290 ), references = 1, size of lhs = 3:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1), P_v_H-{F}(V2) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #295: exists( #8, #292 ), references = 1, size of lhs = 2:
% 1.90/2.10 P_v_p-{F}(V0), P_t_a-{F}(V1) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #297: exists( #6, #294 ), references = 1, size of lhs = 1:
% 1.90/2.10 P_v_p-{F}(V0) | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 #299: exists( #5, #296 ), references = 1, size of lhs = 0:
% 1.90/2.10 FALSE | FALSE
% 1.90/2.10 (used 0 times, uses = {})
% 1.90/2.10
% 1.90/2.10 number of learnt formulas = 25
% 1.90/2.10
% 1.90/2.10
% 1.90/2.10 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.10
% 1.90/2.10 randbase = 1
%------------------------------------------------------------------------------