%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP123-8.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:03:12 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP123-8.003 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 13:36:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 GeoParameters:
% 0.18/0.50
% 0.18/0.50 tptp_input = 1
% 0.18/0.50 tptp_output = 0
% 0.18/0.50 nonempty = 1
% 0.18/0.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50
% 0.18/0.50 RuleSystem INPUT:
% 0.18/0.50
% 0.18/0.50 Initial Rules:
% 0.18/0.50 #0: input, references = 3, size of lhs = 2:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1) | next-{T}(V0,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #1: input, references = 3, size of lhs = 3:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2) | next-{T}(V1,V2)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #2: input, references = 5, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | next-{T}(V2,V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #3: input, references = 5, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V1,V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #4: input, references = 5, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V2,V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #5: input, references = 3, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #6: input, references = 3, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V2,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #7: input, references = 3, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #8: input, references = 3, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V2)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #9: input, references = 4, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V6,V4), cycle-{F}(V6,V5) | equalish-{T}(V4,V5)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #10: input, references = 5, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4) | cycle-{T}(V4,V0), cycle-{T}(V4,V1), cycle-{T}(V4,V2)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #11: input, references = 5, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | cycle-{T}(V3,V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #12: input, references = 5, size of lhs = 9:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), greater-{F}(V4,V0), cycle-{F}(V7,V4), next-{F}(V7,V6), cycle-{F}(V6,V8), next-{F}(V8,V5) | equalish-{T}(V4,V5)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #13: input, references = 3, size of lhs = 10:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V0), cycle-{F}(V6,V5), next-{F}(V4,V6), greater-{F}(V7,V5), cycle-{F}(V8,V7), greater-{F}(V4,V8) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #14: input, references = 3, size of lhs = 7:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V0), product-{F}(V4,V1,V5), greater-{F}(V5,V4) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #15: input, references = 3, size of lhs = 8:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V5), greater-{F}(V5,V0), next-{F}(V4,V6), product-{F}(V4,V1,V7) | equalish-{T}(V7,V6)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #16: input, references = 5, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #17: input, references = 5, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V2)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #18: input, references = 4, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #19: input, references = 6, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V1,V2) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #20: input, references = 5, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #21: input, references = 4, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V2,V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #22: input, references = 4, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #23: input, references = 4, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #24: input, references = 3, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #25: input, references = 5, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product1-{T}(V5,V4,V1), product1-{T}(V5,V4,V2), product1-{T}(V5,V4,V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #26: input, references = 4, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product1-{F}(V7,V6,V5), product1-{F}(V7,V6,V4) | equalish-{T}(V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #27: input, references = 4, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product1-{F}(V7,V5,V6), product1-{F}(V7,V4,V6) | equalish-{T}(V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #28: input, references = 5, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product1-{F}(V5,V6,V7), product1-{F}(V4,V6,V7) | equalish-{T}(V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #29: input, references = 6, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), #-{F} V4 | product1-{T}(V4,V4,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #30: input, references = 3, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product2-{T}(V5,V4,V1), product2-{T}(V5,V4,V2), product2-{T}(V5,V4,V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #31: input, references = 4, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product2-{F}(V7,V6,V5), product2-{F}(V7,V6,V4) | equalish-{T}(V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #32: input, references = 3, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product2-{F}(V7,V5,V6), product2-{F}(V7,V4,V6) | equalish-{T}(V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #33: input, references = 3, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product2-{F}(V5,V6,V7), product2-{F}(V4,V6,V7) | equalish-{T}(V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #34: input, references = 4, size of lhs = 5:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), #-{F} V4 | product2-{T}(V4,V4,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #35: input, references = 4, size of lhs = 6:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product1-{F}(V5,V4,V6), product1-{F}(V7,V4,V5) | product2-{T}(V6,V7,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #36: input, references = 4, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_e_0-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #37: input, references = 4, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #38: input, references = 5, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #39: input, references = 8, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 number of initial rules = 40
% 0.18/0.50
% 0.18/0.50 Simplifiers:
% 0.18/0.50 #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_e_0-{F}(V0), P_e_0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 number of simplifiers = 4
% 0.18/0.50
% 0.18/0.50 Learnt:
% 0.18/0.50 #56: mergings( V1 == V4, V4 == V7, V7 == V2, V2 == V5, V5 == V3, V3 == V6; #48 ), references = 1, size of lhs = 3:
% 0.18/0.50 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #68: mergings( V1 == V0, V0 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10; #60 ), references = 1, size of lhs = 8:
% 0.18/0.50 group_element-{F}(V0), next-{F}(V0,V0), greater-{F}(V0,V0), P_e_0-{F}(V1), greater-{F}(V1,V1), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | cycle-{T}(V0,V2)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #91: mergings( V1 == V5, V5 == V7, V7 == V12, V12 == V15, V2 == V4, V4 == V15, V15 == V8, V8 == V10, V10 == V13, V13 == V16, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17; #75 ), references = 1, size of lhs = 4:
% 0.18/0.50 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #103: mergings( V1 == V4, V4 == V5, V5 == V8, V8 == V10, V2 == V3, V3 == V10, V10 == V6, V6 == V7, V7 == V9, V9 == V11; #92 ), references = 1, size of lhs = 3:
% 0.18/0.50 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #117: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V8; #109 ), references = 1, size of lhs = 3:
% 0.18/0.50 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #134: mergings( V2 == V0, V1 == V5, V5 == V10, V0 == V6, V6 == V11, V3 == V7, V7 == V12; #126 ), references = 1, size of lhs = 12:
% 0.18/0.50 group_element-{F}(V0), greater-{F}(V0,V0), P_e_0-{F}(V1), P_e_2-{F}(V1), next-{F}(V0,V2), cycle-{F}(V2,V3), greater-{F}(V1,V3), P_e_1-{F}(V4), P_e_3-{F}(V5), next-{F}(V0,V6), cycle-{F}(V6,V7), greater-{F}(V1,V7) | cycle-{T}(V0,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #160: mergings( V1 == V7, V7 == V9, V9 == V14, V14 == V17, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18, V3 == V6, V6 == V17, V17 == V11, V11 == V13, V13 == V16, V16 == V19; #142 ), references = 1, size of lhs = 3:
% 0.18/0.50 P_e_0-{F}(V0), P_e_2-{F}(V0), P_e_1-{F}(V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #180: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V3 == V5, V5 == V9, V9 == V16, V16 == V19; #163 ), references = 1, size of lhs = 8:
% 0.18/0.50 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3) | product1-{T}(V1,V0,V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #207: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V24, V1 == V4, V4 == V6, V6 == V10, V10 == V17, V17 == V21, V2 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V3 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V26; #183 ), references = 1, size of lhs = 9:
% 0.18/0.50 group_element-{F}(V0), product2-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), product1-{F}(V3,V1,V4), product2-{F}(V4,V0,V0) | product1-{T}(V0,V1,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #263: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V38, V38 == V41, V41 == V44, V44 == V45, V45 == V48, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V19, V19 == V24, V24 == V30, V30 == V32, V32 == V35, V35 == V39, V39 == V42, V42 == V46, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43, V43 == V47; #217 ), references = 1, size of lhs = 3:
% 0.18/0.50 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_0-{F}(V2) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #296: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V32; #264 ), references = 1, size of lhs = 2:
% 0.18/0.50 P_e_1-{F}(V0), P_e_0-{F}(V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #317: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20; #297 ), references = 1, size of lhs = 1:
% 0.18/0.50 P_e_0-{F}(V0) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #319: exists( #36, #297 ), references = 1, size of lhs = 0:
% 0.18/0.50 FALSE | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 number of learnt formulas = 13
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50
% 0.18/0.50 randbase = 1
%------------------------------------------------------------------------------