TSTP Solution File: SYN036+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:23:30 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 : Sat Jul 23 03:15:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 GeoParameters:
% 0.19/0.52
% 0.19/0.52 tptp_input = 1
% 0.19/0.52 tptp_output = 0
% 0.19/0.52 nonempty = 1
% 0.19/0.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 RuleSystem INPUT:
% 0.19/0.52
% 0.19/0.52 Initial Rules:
% 0.19/0.52 #0: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | pppp8-{T}(), pppp9-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #1: input, references = 9, size of lhs = 2:
% 0.19/0.52 pppp9-{F}(), pppp8-{F}() | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #2: input, references = 5, size of lhs = 2:
% 0.19/0.52 pppp9-{F}(), #-{F} V0 | big_q-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #3: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | pppp9-{T}(), pppp22-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #4: input, references = 5, size of lhs = 1:
% 0.19/0.52 pppp22-{F}() | EXISTS V0: pppp10-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #5: input, references = 5, size of lhs = 2:
% 0.19/0.52 pppp10-{F}(V0), big_q-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #6: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | pppp11-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #7: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp11-{F}(), pppp7-{F}(), pppp6-{F}() | pppp8-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #8: input, references = 5, size of lhs = 1:
% 0.19/0.52 pppp11-{F}() | pppp8-{T}(), pppp6-{T}(), pppp7-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #9: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp7-{F}() | pppp6-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #10: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp6-{F}() | pppp7-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #11: input, references = 4, size of lhs = 1:
% 0.19/0.52 pppp7-{F}() | EXISTS V0: pppp12-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #12: input, references = 11, size of lhs = 1:
% 0.19/0.52 big_p-{F}(V0) | pppp7-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #13: input, references = 4, size of lhs = 1:
% 0.19/0.52 pppp12-{F}(V0) | big_p-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #14: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | pppp13-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #15: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp13-{F}(), pppp5-{F}(), pppp4-{F}() | pppp6-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #16: input, references = 5, size of lhs = 1:
% 0.19/0.52 pppp13-{F}() | pppp6-{T}(), pppp4-{T}(), pppp5-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #17: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp13-{F}(), pppp6-{F}(), pppp5-{F}() | pppp4-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #18: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp13-{F}(), pppp6-{F}(), pppp4-{F}() | pppp5-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #19: input, references = 4, size of lhs = 1:
% 0.19/0.52 pppp5-{F}() | EXISTS V0: pppp14-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #20: input, references = 10, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | pppp5-{T}(), pppp23-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #21: input, references = 9, size of lhs = 1:
% 0.19/0.52 pppp23-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #22: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp15-{F}(V0,V1), big_q-{F}(V1), big_q-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #23: input, references = 11, size of lhs = 1:
% 0.19/0.52 pppp15-{F}(V0,V1) | big_q-{T}(V0), big_q-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #24: input, references = 8, size of lhs = 2:
% 0.19/0.52 pppp14-{F}(V0), big_q-{F}(V1) | big_q-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #25: input, references = 4, size of lhs = 3:
% 0.19/0.52 pppp14-{F}(V0), #-{F} V1, big_q-{F}(V0) | big_q-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #26: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | pppp16-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #27: input, references = 6, size of lhs = 3:
% 0.19/0.52 pppp16-{F}(), pppp3-{F}(), pppp2-{F}() | pppp4-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #28: input, references = 8, size of lhs = 1:
% 0.19/0.52 pppp16-{F}() | pppp4-{T}(), pppp2-{T}(), pppp3-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #29: input, references = 4, size of lhs = 3:
% 0.19/0.52 pppp16-{F}(), pppp4-{F}(), pppp3-{F}() | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #30: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp16-{F}(), pppp4-{F}(), pppp2-{F}() | pppp3-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #31: input, references = 8, size of lhs = 2:
% 0.19/0.52 pppp3-{F}(), #-{F} V0 | big_p-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #32: input, references = 5, size of lhs = 0:
% 0.19/0.52 FALSE | pppp3-{T}(), pppp24-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #33: input, references = 6, size of lhs = 1:
% 0.19/0.52 pppp24-{F}() | EXISTS V0: pppp17-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #34: input, references = 5, size of lhs = 2:
% 0.19/0.52 pppp17-{F}(V0), big_p-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #35: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | pppp18-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #36: input, references = 9, size of lhs = 3:
% 0.19/0.52 pppp18-{F}(), pppp1-{F}(), pppp0-{F}() | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #37: input, references = 4, size of lhs = 1:
% 0.19/0.52 pppp18-{F}() | pppp2-{T}(), pppp0-{T}(), pppp1-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #38: input, references = 7, size of lhs = 3:
% 0.19/0.52 pppp18-{F}(), pppp2-{F}(), pppp1-{F}() | pppp0-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #39: input, references = 5, size of lhs = 3:
% 0.19/0.52 pppp18-{F}(), pppp2-{F}(), pppp0-{F}() | pppp1-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #40: input, references = 6, size of lhs = 1:
% 0.19/0.52 pppp1-{F}() | EXISTS V0: pppp19-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #41: input, references = 16, size of lhs = 1:
% 0.19/0.52 big_q-{F}(V0) | pppp1-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #42: input, references = 6, size of lhs = 1:
% 0.19/0.52 pppp19-{F}(V0) | big_q-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #43: input, references = 4, size of lhs = 1:
% 0.19/0.52 pppp0-{F}() | EXISTS V0: pppp20-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #44: input, references = 8, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | pppp0-{T}(), pppp25-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #45: input, references = 7, size of lhs = 1:
% 0.19/0.52 pppp25-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #46: input, references = 4, size of lhs = 3:
% 0.19/0.52 pppp21-{F}(V0,V1), big_p-{F}(V1), big_p-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #47: input, references = 7, size of lhs = 1:
% 0.19/0.52 pppp21-{F}(V0,V1) | big_p-{T}(V0), big_p-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #48: input, references = 4, size of lhs = 2:
% 0.19/0.52 pppp20-{F}(V0), big_p-{F}(V1) | big_p-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #49: input, references = 4, size of lhs = 3:
% 0.19/0.52 pppp20-{F}(V0), #-{F} V1, big_p-{F}(V0) | big_p-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of initial rules = 50
% 0.19/0.52
% 0.19/0.52 Simplifiers:
% 0.19/0.52 #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #52: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #53: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #54: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #55: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #56: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #57: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of simplifiers = 8
% 0.19/0.52
% 0.19/0.52 Learnt:
% 0.19/0.52 #63: exists( #11, #61 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp7-{F}(), pppp20-{F}(V0), pppp17-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #65: exists( #43, #62 ), references = 2, size of lhs = 3:
% 0.19/0.52 pppp0-{F}(), pppp7-{F}(), pppp17-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #67: exists( #33, #64 ), references = 7, size of lhs = 3:
% 0.19/0.52 pppp24-{F}(), pppp0-{F}(), pppp7-{F}() | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #73: disj( #8, #17+#30+#31+#12+#67, exists( #33, #64 ) ), references = 1, size of lhs = 8:
% 0.19/0.52 pppp11-{F}(), pppp13-{F}(), pppp5-{F}(), pppp16-{F}(), pppp2-{F}(), pppp24-{F}(), pppp0-{F}(), #-{F} V0 | pppp8-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #77: disj( #44, #36+#72+#1 ), references = 1, size of lhs = 9:
% 0.19/0.52 pppp18-{F}(), pppp1-{F}(), pppp11-{F}(), pppp13-{F}(), pppp5-{F}(), pppp16-{F}(), pppp24-{F}(), pppp9-{F}(), #-{F} V0 | pppp25-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #82: exists( #33, #80 ), references = 5, size of lhs = 2:
% 0.19/0.52 pppp24-{F}(), pppp3-{F}() | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #84: disj( #28, #15+#7+#1, exists( #33, #80 ) ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp16-{F}(), pppp13-{F}(), pppp5-{F}(), pppp11-{F}(), pppp7-{F}(), pppp9-{F}(), pppp24-{F}() | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #90: disj( #47, #12+#7+#1 ), references = 2, size of lhs = 4:
% 0.19/0.52 pppp11-{F}(), pppp6-{F}(), pppp9-{F}(), pppp21-{F}(V0,V1) | big_p-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #96: exists( #45, #94 ), references = 1, size of lhs = 4:
% 0.19/0.52 pppp11-{F}(), pppp6-{F}(), pppp9-{F}(), pppp25-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #98: disj( #8, exists( #45, #94 ), #83+#38+#67 ), references = 1, size of lhs = 9:
% 0.19/0.52 pppp16-{F}(), pppp13-{F}(), pppp5-{F}(), pppp11-{F}(), pppp9-{F}(), pppp18-{F}(), pppp1-{F}(), pppp24-{F}(), pppp25-{F}(V0) | pppp8-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #102: disj( #20, #76+#97+#1 ), references = 1, size of lhs = 8:
% 0.19/0.52 pppp16-{F}(), pppp13-{F}(), pppp11-{F}(), pppp18-{F}(), pppp1-{F}(), pppp24-{F}(), pppp9-{F}(), #-{F} V0 | pppp23-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #106: exists( #21, #104 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp9-{F}(), pppp23-{F}(V0), big_q-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #109: disj( #32, #101+#105 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp16-{F}(), pppp13-{F}(), pppp11-{F}(), pppp18-{F}(), pppp1-{F}(), pppp9-{F}(), big_q-{F}(V0) | pppp3-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #111: disj( #20, exists( #21, #104 ) ), references = 1, size of lhs = 2:
% 0.19/0.52 pppp9-{F}(), big_q-{F}(V0) | pppp5-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #114: exists( #45, #112 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp3-{F}(), pppp25-{F}(V0), big_p-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #116: disj( #44, exists( #45, #112 ) ), references = 2, size of lhs = 2:
% 0.19/0.52 pppp3-{F}(), big_p-{F}(V0) | pppp0-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #129: disj( #0, #2+#41+#108+#31+#12+#110+#115+#36+#27+#15+#7+#1 ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp18-{F}(), pppp16-{F}(), pppp13-{F}(), pppp11-{F}(), #-{F} V0 | pppp8-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #131: disj( #3, input ), references = 1, size of lhs = 1:
% 0.19/0.52 pppp8-{F}() | pppp22-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #136: exists( #40, #134 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp1-{F}(), pppp14-{F}(V0), pppp15-{F}(V0,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #139: mergings( V0 == V1; #137 ), references = 1, size of lhs = 1:
% 0.19/0.52 pppp15-{F}(V0,V0) | big_q-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #145: exists( #40, #143 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp1-{F}(), pppp14-{F}(V0), pppp10-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #148: disj( #23, #24+#22 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp14-{F}(V0), pppp15-{F}(V0,V1), pppp15-{F}(V2,V1) | big_q-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #156: exists( #40, #154 ), references = 2, size of lhs = 3:
% 0.19/0.52 pppp1-{F}(), pppp14-{F}(V0), pppp10-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #158: exists( #19, #155 ), references = 8, size of lhs = 3:
% 0.19/0.52 pppp5-{F}(), pppp1-{F}(), pppp10-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #163: disj( #20, #17+#29+#39+#157 ), references = 1, size of lhs = 8:
% 0.19/0.52 pppp13-{F}(), pppp6-{F}(), pppp16-{F}(), pppp3-{F}(), pppp18-{F}(), pppp0-{F}(), pppp10-{F}(V0), #-{F} V1 | pppp23-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #171: disj( #23, #41+#36+#27+#18+#158 ), references = 1, size of lhs = 8:
% 0.19/0.52 pppp18-{F}(), pppp0-{F}(), pppp16-{F}(), pppp3-{F}(), pppp13-{F}(), pppp6-{F}(), pppp10-{F}(V0), pppp15-{F}(V1,V2) | big_q-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #179: mergings( V2 == V3; #177 ), references = 1, size of lhs = 8:
% 0.19/0.52 pppp18-{F}(), pppp0-{F}(), pppp16-{F}(), pppp3-{F}(), pppp13-{F}(), pppp6-{F}(), pppp23-{F}(V0), pppp10-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #182: exists( #4, #180 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp22-{F}(), pppp18-{F}(), pppp0-{F}(), pppp16-{F}(), pppp3-{F}(), pppp13-{F}(), pppp6-{F}() | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #188: disj( #32, #31+#12+#116+#9+#181 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp22-{F}(), pppp18-{F}(), pppp16-{F}(), pppp13-{F}(), #-{F} V0 | pppp24-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #190: disj( #20, exists( #19, #155 ) ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp1-{F}(), pppp10-{F}(V0), #-{F} V1 | pppp23-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #194: mergings( V0 == V1; #192 ), references = 1, size of lhs = 1:
% 0.19/0.52 pppp21-{F}(V0,V0) | big_p-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #200: disj( #47, #12+#9+#18+#158 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp4-{F}(), pppp1-{F}(), pppp10-{F}(V0), pppp21-{F}(V1,V2) | big_p-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #207: mergings( V2 == V3; #205 ), references = 3, size of lhs = 7:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp4-{F}(), pppp1-{F}(), pppp25-{F}(V0), pppp10-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #211: disj( #23, input ), references = 1, size of lhs = 2:
% 0.19/0.52 pppp10-{F}(V0), pppp15-{F}(V1,V0) | big_q-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #217: disj( #23, #41+#207 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp4-{F}(), pppp25-{F}(V0), pppp10-{F}(V1), pppp15-{F}(V2,V3) | big_q-{T}(V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #222: mergings( V3 == V5; #220 ), references = 3, size of lhs = 8:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp4-{F}(), pppp23-{F}(V0), pppp25-{F}(V1), pppp25-{F}(V2), pppp10-{F}(V3) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #225: disj( #44, exists( #33, #64 ) ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp24-{F}(), pppp7-{F}(), #-{F} V0 | pppp25-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #226: disj( #44, exists( #43, #62 ) ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp7-{F}(), pppp17-{F}(V0), #-{F} V1 | pppp25-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #229: disj( #20, #17+#222 ), references = 1, size of lhs = 9:
% 0.19/0.52 pppp6-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp23-{F}(V0), pppp25-{F}(V1), pppp25-{F}(V2), pppp10-{F}(V3), #-{F} V4 | pppp23-{T}(V4)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #238: disj( #23, #41+#38+#67 ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp18-{F}(), pppp2-{F}(), pppp24-{F}(), pppp7-{F}(), pppp15-{F}(V0,V1) | big_q-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #239: disj( #23, #41+#38+#65 ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp18-{F}(), pppp2-{F}(), pppp7-{F}(), pppp17-{F}(V0), pppp15-{F}(V1,V2) | big_q-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #248: exists( #21, #244 ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp18-{F}(), pppp2-{F}(), pppp24-{F}(), pppp7-{F}(), pppp23-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #251: disj( #28, exists( #21, #244 ), exists( #33, #80 ) ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp16-{F}(), pppp18-{F}(), pppp7-{F}(), pppp24-{F}(), pppp23-{F}(V0) | pppp4-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #258: mergings( V2 == V5, V5 == V7; #255 ), references = 1, size of lhs = 12:
% 0.19/0.52 pppp16-{F}(), pppp18-{F}(), pppp24-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp23-{F}(V0), pppp23-{F}(V1), pppp23-{F}(V2), pppp25-{F}(V3), pppp25-{F}(V4), pppp10-{F}(V5) | pppp5-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #260: disj( #28, mergings( V3 == V5; #220 ), exists( #33, #80 ) ), references = 1, size of lhs = 9:
% 0.19/0.52 pppp16-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp24-{F}(), pppp23-{F}(V0), pppp25-{F}(V1), pppp25-{F}(V2), pppp10-{F}(V3) | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #268: disj( #23, #41+#158 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp5-{F}(), pppp10-{F}(V0), pppp15-{F}(V1,V2) | big_q-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #269: disj( #23, #41+#156 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp14-{F}(V0), pppp10-{F}(V1), pppp15-{F}(V2,V3) | big_q-{T}(V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #271: mergings( V2 == V1; #267 ), references = 1, size of lhs = 2:
% 0.19/0.52 pppp14-{F}(V0), pppp15-{F}(V1,V0) | big_q-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #276: mergings( V2 == V3; #274 ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp5-{F}(), pppp23-{F}(V0), pppp10-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #283: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V9; #278 ), references = 1, size of lhs = 11:
% 0.19/0.52 pppp16-{F}(), pppp18-{F}(), pppp24-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp23-{F}(V0), pppp23-{F}(V1), pppp23-{F}(V2), pppp23-{F}(V3), pppp10-{F}(V4) | pppp0-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #285: disj( #20, mergings( V2 == V3; #274 ) ), references = 1, size of lhs = 3:
% 0.19/0.52 pppp23-{F}(V0), pppp10-{F}(V1), #-{F} V2 | pppp23-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #288: disj( #16, #10+#67, mergings( V2 == V3; #274 ) ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp13-{F}(), pppp11-{F}(), pppp8-{F}(), pppp24-{F}(), pppp0-{F}(), pppp23-{F}(V0), pppp10-{F}(V1) | pppp4-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #299: disj( #23, #41+#36+#30+#82 ), references = 1, size of lhs = 6:
% 0.19/0.52 pppp18-{F}(), pppp0-{F}(), pppp16-{F}(), pppp4-{F}(), pppp24-{F}(), pppp15-{F}(V0,V1) | big_q-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #305: exists( #21, #303 ), references = 1, size of lhs = 6:
% 0.19/0.52 pppp18-{F}(), pppp0-{F}(), pppp16-{F}(), pppp4-{F}(), pppp24-{F}(), pppp23-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #314: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #308 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp13-{F}(), pppp11-{F}(), pppp8-{F}(), pppp18-{F}(), pppp16-{F}(), pppp24-{F}(), pppp10-{F}(V0) | pppp5-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #319: disj( #28, #15+#10+#67, #39+#158 ), references = 1, size of lhs = 9:
% 0.19/0.52 pppp16-{F}(), pppp13-{F}(), pppp11-{F}(), pppp8-{F}(), pppp24-{F}(), pppp18-{F}(), pppp0-{F}(), pppp5-{F}(), pppp10-{F}(V0) | pppp3-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #322: disj( #44, #318+#82 ), references = 2, size of lhs = 9:
% 0.19/0.52 pppp16-{F}(), pppp13-{F}(), pppp11-{F}(), pppp8-{F}(), pppp18-{F}(), pppp5-{F}(), pppp24-{F}(), pppp10-{F}(V0), #-{F} V1 | pppp25-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #324: disj( #47, input ), references = 1, size of lhs = 2:
% 0.19/0.52 pppp17-{F}(V0), pppp21-{F}(V0,V1) | big_p-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #336: exists( #45, #333 ), references = 2, size of lhs = 9:
% 0.19/0.52 pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp5-{F}(), pppp16-{F}(), pppp2-{F}(), pppp24-{F}(), pppp25-{F}(V0), pppp17-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #339: exists( #33, #337 ), references = 2, size of lhs = 9:
% 0.19/0.52 pppp18-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp5-{F}(), pppp16-{F}(), pppp2-{F}(), pppp24-{F}(), pppp10-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #341: disj( #28, exists( #33, #337 ), exists( #33, #80 ) ), references = 1, size of lhs = 8:
% 0.19/0.52 pppp18-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp5-{F}(), pppp16-{F}(), pppp24-{F}(), pppp10-{F}(V0) | pppp4-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #346: disj( #37, exists( #33, #64 ), exists( #19, #155 ) ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp18-{F}(), pppp24-{F}(), pppp7-{F}(), pppp5-{F}(), pppp10-{F}(V0) | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #347: disj( #37, exists( #33, #64 ), mergings( V2 == V3; #205 ) ), references = 1, size of lhs = 9:
% 0.19/0.52 pppp18-{F}(), pppp24-{F}(), pppp7-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp4-{F}(), pppp25-{F}(V0), pppp10-{F}(V1) | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #348: disj( #37, exists( #43, #62 ), exists( #19, #155 ) ), references = 1, size of lhs = 5:
% 0.19/0.52 pppp18-{F}(), pppp7-{F}(), pppp5-{F}(), pppp17-{F}(V0), pppp10-{F}(V1) | pppp2-{T}()
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #355: exists( #4, #353 ), references = 1, size of lhs = 7:
% 0.19/0.52 pppp22-{F}(), pppp18-{F}(), pppp11-{F}(), pppp8-{F}(), pppp13-{F}(), pppp16-{F}(), pppp24-{F}() | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #363: #6+#14+#26+#35+#128+#130+#187+#354, references = 1, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of learnt formulas = 66
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 randbase = 1
%------------------------------------------------------------------------------