TSTP Solution File: ANA021-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA021-2 : 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 05:57:46 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA021-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % 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 23:50:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.39 GeoParameters:
% 0.12/0.39
% 0.12/0.39 tptp_input = 1
% 0.12/0.39 tptp_output = 0
% 0.12/0.39 nonempty = 1
% 0.12/0.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 RuleSystem INPUT:
% 0.12/0.39
% 0.12/0.39 Initial Rules:
% 0.12/0.39 #0: input, references = 4, size of lhs = 7:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_c_minus-{F}(V3,V2,V1,V4), P_c_Suc-{F}(V4,V5), c_less-{F}(V0,V3,V1), V3 == V5 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #1: input, references = 4, size of lhs = 5:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), #-{F} V3, V3 == V0 | c_less-{T}(V0,V3,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #2: input, references = 4, size of lhs = 11:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_c_Suc-{F}(V5,V6), P_v_f-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_v_h-{F}(V6,V9), P_c_HOL_Oabs-{F}(V9,V3,V10), P_c_times-{F}(V4,V10,V3,V11) | c_lessequals-{T}(V8,V11,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #3: input, references = 4, size of lhs = 6:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #4: input, references = 4, size of lhs = 12:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_v_f-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V3,V7), P_v_h-{F}(V5,V8), P_c_HOL_Oabs-{F}(V8,V3,V9), P_c_times-{F}(V4,V9,V3,V10), c_lessequals-{F}(V7,V10,V3) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #5: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #6: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #7: input, references = 4, size of lhs = 1:
% 0.12/0.39 #-{F} V0 | EXISTS V1: P_c_Suc-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #8: input, references = 4, size of lhs = 3:
% 0.12/0.39 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #9: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_c_1-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #10: input, references = 6, size of lhs = 2:
% 0.12/0.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #11: input, references = 4, size of lhs = 1:
% 0.12/0.39 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #12: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #13: input, references = 4, size of lhs = 3:
% 0.12/0.39 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #14: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #15: input, references = 4, size of lhs = 1:
% 0.12/0.39 #-{F} V0 | EXISTS V1: P_v_h-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #16: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of initial rules = 17
% 0.12/0.39
% 0.12/0.39 Simplifiers:
% 0.12/0.39 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_c_Suc-{F}(V0,V1), P_c_Suc-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_c_1-{F}(V0), P_c_1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_v_h-{F}(V0,V1), P_v_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of simplifiers = 15
% 0.12/0.39
% 0.12/0.39 Learnt:
% 0.12/0.39 #37: mergings( V4 == V7, V5 == V8, V6 == V9; #33 ), references = 2, size of lhs = 15:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_v_f-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V3,V7), P_v_h-{F}(V5,V8), P_c_HOL_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs-{F}(V10,V3,V7), P_v_f-{F}(V11,V10), P_c_Suc-{F}(V12,V11), P_v_h-{F}(V11,V13), P_c_HOL_Oabs-{F}(V13,V3,V9) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #42: mergings( V3 == V6, V4 == V7, V5 == V8; #38 ), references = 1, size of lhs = 11:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_v_f-{F}(V5,V6), P_v_h-{F}(V5,V6), P_v_f-{F}(V7,V6), P_v_h-{F}(V7,V6), P_c_Suc-{F}(V8,V7) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #44: exists( #10, #37 ), references = 1, size of lhs = 13:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_v_f-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V3,V7), P_v_h-{F}(V5,V8), P_c_HOL_Oabs-{F}(V9,V3,V7), P_v_f-{F}(V10,V9), P_v_h-{F}(V10,V8), P_c_Suc-{F}(V11,V10) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #46: exists( #10, #43 ), references = 1, size of lhs = 11:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_v_f-{F}(V5,V6), P_v_h-{F}(V5,V7), P_v_f-{F}(V8,V6), P_v_h-{F}(V8,V7), P_c_Suc-{F}(V9,V8) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #48: exists( #15, #45 ), references = 1, size of lhs = 8:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_v_f-{F}(V5,V6), P_c_Suc-{F}(V7,V5) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #50: exists( #11, #47 ), references = 2, size of lhs = 7:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), P_c_Suc-{F}(V6,V5) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #52: exists( #7, #0 ), references = 1, size of lhs = 5:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), c_less-{F}(V0,V3,V1), P_c_minus-{F}(V3,V2,V1,V4) | P_c_Suc-{T}(V4,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #62: mergings( V4 == V5, V2 == V6, V1 == V7; #56 ), references = 2, size of lhs = 7:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4), P_v_x-{F}(V5), c_less-{F}(V0,V5,V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #66: mergings( V1 == V4; #64 ), references = 1, size of lhs = 5:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3), P_v_c-{F}(V4) | P_v_x-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #73: mergings( V2 == V6, V1 == V3, V3 == V7, V4 == V8; #68 ), references = 1, size of lhs = 4:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2), P_t_a-{F}(V3) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #78: mergings( V2 == V5, V1 == V3, V3 == V6; #74 ), references = 1, size of lhs = 3:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1), P_c_1-{F}(V2) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #81: mergings( V1 == V3; #79 ), references = 1, size of lhs = 2:
% 0.12/0.39 P_c_0-{F}(V0), P_tc_nat-{F}(V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #83: exists( #6, #79 ), references = 1, size of lhs = 1:
% 0.12/0.39 P_c_0-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #85: exists( #5, #82 ), references = 1, size of lhs = 0:
% 0.12/0.39 FALSE | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of learnt formulas = 14
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 randbase = 1
%------------------------------------------------------------------------------