%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:33 AM UTC 2026
% Result : Theorem 0.13s 0.48s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 14:22:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.48 GeoParameters:
% 0.13/0.48
% 0.13/0.48 tptp_input = 1
% 0.13/0.48 tptp_output = 0
% 0.13/0.48 nonempty = 1
% 0.13/0.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.48
% 0.13/0.48
% 0.13/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48
% 0.13/0.48 RuleSystem INPUT:
% 0.13/0.48
% 0.13/0.48 Initial Rules:
% 0.13/0.48 #0: input, references = 3, size of lhs = 1:
% 0.13/0.48 less-{F}(V0,V0) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #1: input, references = 3, size of lhs = 2:
% 0.13/0.48 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #2: input, references = 3, size of lhs = 3:
% 0.13/0.48 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #3: input, references = 3, size of lhs = 1:
% 0.13/0.48 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #4: input, references = 4, size of lhs = 1:
% 0.13/0.48 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #5: input, references = 3, size of lhs = 2:
% 0.13/0.48 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #6: input, references = 3, size of lhs = 1:
% 0.13/0.48 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #7: input, references = 4, size of lhs = 1:
% 0.13/0.48 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #8: input, references = 3, size of lhs = 3:
% 0.13/0.48 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #9: input, references = 3, size of lhs = 1:
% 0.13/0.48 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #10: input, references = 3, size of lhs = 2:
% 0.13/0.48 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #11: input, references = 3, size of lhs = 2:
% 0.13/0.48 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #12: input, references = 3, size of lhs = 2:
% 0.13/0.48 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #13: input, references = 3, size of lhs = 1:
% 0.13/0.48 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #14: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #15: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #16: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #17: input, references = 3, size of lhs = 2:
% 0.13/0.48 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #18: input, references = 3, size of lhs = 1:
% 0.13/0.48 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #19: input, references = 4, size of lhs = 1:
% 0.13/0.48 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #20: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #21: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #22: input, references = 4, size of lhs = 2:
% 0.13/0.48 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #23: input, references = 3, size of lhs = 1:
% 0.13/0.48 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #24: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #25: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #26: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #27: input, references = 3, size of lhs = 2:
% 0.13/0.48 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #28: input, references = 3, size of lhs = 1:
% 0.13/0.48 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #29: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #30: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #31: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #32: input, references = 3, size of lhs = 2:
% 0.13/0.48 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #33: input, references = 3, size of lhs = 1:
% 0.13/0.48 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #34: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #35: input, references = 3, size of lhs = 3:
% 0.13/0.48 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #36: input, references = 3, size of lhs = 4:
% 0.13/0.48 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp11-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #37: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp11-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V4,V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #38: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #39: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #40: input, references = 3, size of lhs = 1:
% 0.13/0.48 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #41: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #42: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V4,V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #43: input, references = 3, size of lhs = 2:
% 0.13/0.48 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #44: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #45: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #46: input, references = 3, size of lhs = 1:
% 0.13/0.48 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #47: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #48: input, references = 3, size of lhs = 2:
% 0.13/0.48 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #49: input, references = 3, size of lhs = 4:
% 0.13/0.48 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp12-{T}(V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #50: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #51: input, references = 3, size of lhs = 2:
% 0.13/0.48 pppp10-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #52: input, references = 3, size of lhs = 1:
% 0.13/0.48 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #53: input, references = 3, size of lhs = 1:
% 0.13/0.48 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #54: input, references = 3, size of lhs = 2:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #55: input, references = 3, size of lhs = 3:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #56: input, references = 4, size of lhs = 3:
% 0.13/0.48 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #57: input, references = 3, size of lhs = 3:
% 0.13/0.48 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #58: input, references = 3, size of lhs = 3:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #59: input, references = 3, size of lhs = 7:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #60: input, references = 3, size of lhs = 7:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V0,V3,V5), is_verdict-{F}(V0), V5 == V0 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #61: input, references = 3, size of lhs = 7:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V0), P_box_verdict-{F}(V4,V0,V5), is_verdict-{F}(V4), V5 == V0 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #62: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V1), P_box_verdict-{F}(V1,V1,V5), V5 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #63: input, references = 3, size of lhs = 9:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V2,V3,V5), is_verdict-{F}(V2), V3 == V0, V2 == V0, V5 == V2 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #64: input, references = 3, size of lhs = 9:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V2), P_box_verdict-{F}(V4,V2,V5), is_verdict-{F}(V4), V2 == V0, V4 == V0, V5 == V2 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #65: input, references = 3, size of lhs = 9:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V5 == V0, V5 == V1, V5 == V2 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #66: input, references = 3, size of lhs = 4:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | val-{T}(V3)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #67: input, references = 3, size of lhs = 5:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4) | val-{T}(V4)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #68: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4), P_v600-{F}(V5) | val-{T}(V5)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #69: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4), P_v600-{F}(V5) | less-{T}(V3,V4)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #70: input, references = 4, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4), P_v600-{F}(V5) | less-{T}(V3,V5)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #71: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4), P_v600-{F}(V5) | less-{T}(V4,V5)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #72: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V4), P_v200-{F}(V4), P_v600-{F}(V5) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #73: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V5), P_v200-{F}(V4), P_v600-{F}(V5) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #74: input, references = 3, size of lhs = 6:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V5), P_v600-{F}(V5) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #75: input, references = 4, size of lhs = 7:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4), P_v600-{F}(V5), in_lopen-{F}(V6,V3,V5) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #76: input, references = 4, size of lhs = 0:
% 0.13/0.48 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #77: input, references = 4, size of lhs = 0:
% 0.13/0.48 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #78: input, references = 5, size of lhs = 0:
% 0.13/0.48 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #79: input, references = 3, size of lhs = 2:
% 0.13/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #80: input, references = 4, size of lhs = 0:
% 0.13/0.48 FALSE | EXISTS V0: P_v0-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #81: input, references = 4, size of lhs = 0:
% 0.13/0.48 FALSE | EXISTS V0: P_v200-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #82: input, references = 4, size of lhs = 0:
% 0.13/0.48 FALSE | EXISTS V0: P_v600-{T}(V0)
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 number of initial rules = 83
% 0.13/0.48
% 0.13/0.48 Simplifiers:
% 0.13/0.48 #83: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #84: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #85: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #86: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #87: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_v0-{F}(V0), P_v0-{F}(V1), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #88: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_v200-{F}(V0), P_v200-{F}(V1), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #89: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 P_v600-{F}(V0), P_v600-{F}(V1), V0 == V1 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #90: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #91: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #92: unsound, references = 3, size of lhs = 3:
% 0.13/0.48 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 number of simplifiers = 10
% 0.13/0.48
% 0.13/0.48 Learnt:
% 0.13/0.48 #94: exists( #78, #56 ), references = 1, size of lhs = 2:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #108: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V9; #103 ), references = 1, size of lhs = 5:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #113: mergings( V1 == V4, V2 == V5, V3 == V6; #109 ), references = 1, size of lhs = 4:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #118: mergings( V1 == V4, V2 == V5, V3 == V6; #114 ), references = 1, size of lhs = 3:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #122: mergings( V1 == V3, V2 == V4; #119 ), references = 1, size of lhs = 2:
% 0.13/0.48 P_conflict-{F}(V0), P_compatible-{F}(V1) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #125: mergings( V1 == V2; #123 ), references = 1, size of lhs = 1:
% 0.13/0.48 P_conflict-{F}(V0) | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 #127: exists( #76, #123 ), references = 1, size of lhs = 0:
% 0.13/0.48 FALSE | FALSE
% 0.13/0.48 (used 0 times, uses = {})
% 0.13/0.48
% 0.13/0.48 number of learnt formulas = 7
% 0.13/0.48
% 0.13/0.48
% 0.13/0.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48
% 0.13/0.48 randbase = 1
%------------------------------------------------------------------------------