TSTP Solution File: SYO607+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:26:30 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 01:04:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.53 GeoParameters:
% 0.19/0.53
% 0.19/0.53 tptp_input = 1
% 0.19/0.53 tptp_output = 0
% 0.19/0.53 nonempty = 1
% 0.19/0.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 RuleSystem INPUT:
% 0.19/0.53
% 0.19/0.53 Initial Rules:
% 0.19/0.53 #0: input, references = 7, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V0,V1), g_false_only-{F}(V1,V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #1: input, references = 8, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), #-{F} V1 | EXISTS V2: pppp3-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #2: input, references = 6, size of lhs = 4:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V0,V1), #-{F} V2, g_both-{F}(V3,V4) | g_true_only-{T}(V0,V1), g_true_only-{T}(V1,V2), pppp9-{T}(V0), pppp10-{T}(V3), pppp11-{T}()
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #3: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp9-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #4: input, references = 5, size of lhs = 1:
% 0.19/0.53 pppp10-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #5: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp11-{F}() | EXISTS V0: pppp8-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #6: input, references = 6, size of lhs = 4:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V1,V2), #-{F} V3, g_both-{F}(V4,V5) | pppp12-{T}(V1), g_true_only-{T}(V0,V1), g_true_only-{T}(V1,V3), pppp13-{T}(V0), pppp14-{T}(V4), pppp15-{T}()
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #7: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp12-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #8: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp13-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #9: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp14-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #10: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp15-{F}() | EXISTS V0: pppp8-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #11: input, references = 4, size of lhs = 2:
% 0.19/0.53 pppp8-{F}(V0), #-{F} V1 | g_true_only-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #12: input, references = 6, size of lhs = 1:
% 0.19/0.53 pppp7-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #13: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #14: input, references = 5, size of lhs = 1:
% 0.19/0.53 pppp6-{F}(V0,V1) | g_false_only-{T}(V1,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #15: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp5-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #16: input, references = 4, size of lhs = 1:
% 0.19/0.53 pppp4-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #17: input, references = 4, size of lhs = 2:
% 0.19/0.53 pppp3-{F}(V0,V1), g_true_only-{F}(V0,V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #18: input, references = 5, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), g_true_only-{F}(V1,V2) | pppp0-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #19: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp0-{F}(V1,V2) | g_true_only-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #20: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp0-{F}(V1,V2) | g_true-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #21: input, references = 5, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), pppp0-{F}(V1,V2), g_false-{F}(V1,V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #22: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), g_true-{F}(V1,V2) | pppp0-{T}(V1,V2), g_false-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #23: input, references = 4, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #24: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp1-{F}(V1,V2) | g_both-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #25: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp1-{F}(V1,V2) | g_true-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #26: input, references = 4, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp1-{F}(V1,V2) | g_false-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #27: input, references = 3, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), g_true-{F}(V1,V2), g_false-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #28: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #29: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp2-{F}(V1,V2) | g_false_only-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #30: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp2-{F}(V1,V2) | g_false-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #31: input, references = 3, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), pppp2-{F}(V1,V2), g_true-{F}(V1,V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #32: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), g_false-{F}(V1,V2) | pppp2-{T}(V1,V2), g_true-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #33: input, references = 8, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), #-{F} V1, #-{F} V2 | g_true_only-{T}(V1,V2), g_both-{T}(V1,V2), g_false_only-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #34: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of initial rules = 35
% 0.19/0.53
% 0.19/0.53 Simplifiers:
% 0.19/0.53 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of simplifiers = 10
% 0.19/0.53
% 0.19/0.53 Learnt:
% 0.19/0.53 #51: mergings( V0 == V3; #49 ), references = 4, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V0,V1), pppp3-{F}(V1,V2) | g_both-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #54: exists( #13, #52 ), references = 2, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V0,V1), pppp6-{F}(V1,V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #57: exists( #3, #55 ), references = 1, size of lhs = 2:
% 0.19/0.53 pppp9-{F}(V0), P_a-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #64: exists( #1, #62 ), references = 2, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp8-{F}(V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #66: exists( #5, #63 ), references = 1, size of lhs = 2:
% 0.19/0.53 pppp11-{F}(), P_a-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #69: mergings( V0 == V5; #67 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V2,V3), #-{F} V4 | g_true_only-{T}(V1,V4), pppp10-{T}(V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #71: disj( #2, input, input, exists( #3, #55 ) ), references = 1, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V0,V1), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), g_both-{F}(V3,V4) | pppp10-{T}(V3), pppp11-{T}()
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #74: mergings( V0 == V5; #72 ), references = 3, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V0,V1), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), g_both-{F}(V3,V4) | pppp10-{T}(V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #78: exists( #10, #64 ), references = 1, size of lhs = 2:
% 0.19/0.53 pppp15-{F}(), P_a-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #86: exists( #4, #84 ), references = 2, size of lhs = 3:
% 0.19/0.53 pppp10-{F}(V0), P_a-{F}(V1), g_false_only-{F}(V1,V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #93: mergings( V0 == V3, V3 == V4, V4 == V7; #89 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V0,V1), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), g_false_only-{F}(V0,V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #98: mergings( V0 == V2, V2 == V3; #95 ), references = 2, size of lhs = 5:
% 0.19/0.53 pppp10-{F}(V0), P_a-{F}(V0), g_both-{F}(V0,V1), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #106: mergings( V0 == V3, V3 == V4, V4 == V1, V1 == V2, V2 == V5; #100 ), references = 1, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp3-{F}(V0,V0) | g_true_only-{T}(V0,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #114: exists( #8, #111 ), references = 1, size of lhs = 2:
% 0.19/0.53 pppp13-{F}(V0), P_a-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #121: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V0; #116 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), g_false-{F}(V0,V1), g_both-{F}(V1,V2), g_false-{F}(V1,V3), g_both-{F}(V4,V5) | pppp12-{T}(V1), pppp14-{T}(V4), pppp15-{T}()
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #129: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V0, V0 == V9; #123 ), references = 2, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), g_both-{F}(V0,V1), g_false-{F}(V0,V1), g_false-{F}(V1,V2), g_both-{F}(V3,V4) | pppp10-{T}(V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #133: mergings( V0 == V1; #131 ), references = 1, size of lhs = 4:
% 0.19/0.53 pppp10-{F}(V0), P_a-{F}(V0), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2) | g_false_only-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #141: mergings( V0 == V3, V3 == V4, V4 == V5; #137 ), references = 1, size of lhs = 6:
% 0.19/0.53 pppp10-{F}(V0), P_a-{F}(V0), pppp3-{F}(V0,V1), g_both-{F}(V0,V2), g_false-{F}(V0,V2), g_false-{F}(V2,V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #156: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V1; #145 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_a-{F}(V0), pppp3-{F}(V0,V1), g_false-{F}(V2,V3), g_false-{F}(V2,V4), g_false_only-{F}(V2,V5) | g_true_only-{T}(V0,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #164: mergings( V0 == V1, V3 == V4; #161 ), references = 1, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2) | g_false_only-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #167: exists( #7, #165 ), references = 1, size of lhs = 3:
% 0.19/0.53 pppp12-{F}(V0), P_a-{F}(V1), g_false_only-{F}(V1,V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #170: mergings( V0 == V6; #168 ), references = 1, size of lhs = 6:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V1,V2), pppp3-{F}(V1,V3), g_both-{F}(V4,V5) | pppp13-{T}(V0), pppp14-{T}(V4), pppp15-{T}()
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #173: mergings( V0 == V6; #171 ), references = 1, size of lhs = 6:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V1,V2), pppp3-{F}(V1,V3), g_both-{F}(V4,V5) | pppp13-{T}(V0), pppp14-{T}(V4), pppp15-{T}()
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #177: mergings( V1 == V0, V0 == V7; #174 ), references = 2, size of lhs = 6:
% 0.19/0.53 P_a-{F}(V0), g_false_only-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V1,V2), pppp3-{F}(V1,V3), g_both-{F}(V4,V5) | pppp14-{T}(V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #180: exists( #9, #178 ), references = 1, size of lhs = 3:
% 0.19/0.53 pppp14-{F}(V0), P_a-{F}(V1), g_false_only-{F}(V1,V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #187: mergings( V0 == V3, V3 == V4; #184 ), references = 1, size of lhs = 2:
% 0.19/0.53 P_a-{F}(V0), pppp3-{F}(V0,V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #192: mergings( V0 == V3, V3 == V4, V4 == V1; #188 ), references = 1, size of lhs = 1:
% 0.19/0.53 P_a-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #194: exists( #34, #188 ), references = 1, size of lhs = 0:
% 0.19/0.53 FALSE | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of learnt formulas = 28
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 randbase = 1
%------------------------------------------------------------------------------