%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:32 AM UTC 2026
% Result : Theorem 4.18s 4.46s
% Output : Refutation 4.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.35 % Computer : n028.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 14:20:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 4.18/4.46 GeoParameters:
% 4.18/4.46
% 4.18/4.46 tptp_input = 1
% 4.18/4.46 tptp_output = 0
% 4.18/4.46 nonempty = 1
% 4.18/4.46 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/4.46 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.18/4.46
% 4.18/4.46
% 4.18/4.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/4.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/4.46
% 4.18/4.46 RuleSystem INPUT:
% 4.18/4.46
% 4.18/4.46 Initial Rules:
% 4.18/4.46 #0: input, references = 4, size of lhs = 1:
% 4.18/4.46 less-{F}(V0,V0) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #1: input, references = 4, size of lhs = 2:
% 4.18/4.46 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #2: input, references = 3, size of lhs = 3:
% 4.18/4.46 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #3: input, references = 3, size of lhs = 1:
% 4.18/4.46 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #4: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #5: input, references = 3, size of lhs = 2:
% 4.18/4.46 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #6: input, references = 3, size of lhs = 1:
% 4.18/4.46 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #7: input, references = 3, size of lhs = 1:
% 4.18/4.46 #-{F} V1 | pppp0-{T}(V1,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #8: input, references = 11, size of lhs = 3:
% 4.18/4.46 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #9: input, references = 3, size of lhs = 1:
% 4.18/4.46 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #10: input, references = 3, size of lhs = 2:
% 4.18/4.46 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #11: input, references = 3, size of lhs = 2:
% 4.18/4.46 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #12: input, references = 3, size of lhs = 2:
% 4.18/4.46 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #13: input, references = 11, size of lhs = 1:
% 4.18/4.46 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #14: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #15: input, references = 9, size of lhs = 1:
% 4.18/4.46 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #16: input, references = 10, size of lhs = 1:
% 4.18/4.46 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #17: input, references = 3, size of lhs = 2:
% 4.18/4.46 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #18: input, references = 3, size of lhs = 1:
% 4.18/4.46 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #19: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #20: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #21: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #22: input, references = 3, size of lhs = 2:
% 4.18/4.46 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #23: input, references = 3, size of lhs = 1:
% 4.18/4.46 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #24: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #25: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #26: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #27: input, references = 3, size of lhs = 2:
% 4.18/4.46 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #28: input, references = 4, size of lhs = 1:
% 4.18/4.46 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #29: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #30: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #31: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #32: input, references = 3, size of lhs = 2:
% 4.18/4.46 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #33: input, references = 3, size of lhs = 1:
% 4.18/4.46 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #34: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #35: input, references = 7, size of lhs = 3:
% 4.18/4.46 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #36: input, references = 9, size of lhs = 4:
% 4.18/4.46 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp12-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #37: input, references = 5, size of lhs = 1:
% 4.18/4.46 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V4,V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #38: input, references = 5, size of lhs = 1:
% 4.18/4.46 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #39: input, references = 8, size of lhs = 1:
% 4.18/4.46 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #40: input, references = 3, size of lhs = 1:
% 4.18/4.46 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #41: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #42: input, references = 5, size of lhs = 1:
% 4.18/4.46 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V4,V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #43: input, references = 3, size of lhs = 2:
% 4.18/4.46 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #44: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #45: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #46: input, references = 3, size of lhs = 1:
% 4.18/4.46 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #47: input, references = 3, size of lhs = 1:
% 4.18/4.46 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #48: input, references = 5, size of lhs = 2:
% 4.18/4.46 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #49: input, references = 6, size of lhs = 4:
% 4.18/4.46 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp13-{T}(V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #50: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #51: input, references = 4, size of lhs = 2:
% 4.18/4.46 pppp10-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #52: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #53: input, references = 3, size of lhs = 1:
% 4.18/4.46 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #54: input, references = 3, size of lhs = 2:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #55: input, references = 3, size of lhs = 3:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #56: input, references = 4, size of lhs = 3:
% 4.18/4.46 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #57: input, references = 3, size of lhs = 3:
% 4.18/4.46 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #58: input, references = 3, size of lhs = 3:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #59: input, references = 3, size of lhs = 7:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #60: input, references = 4, size of lhs = 7:
% 4.18/4.46 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
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #61: input, references = 4, size of lhs = 7:
% 4.18/4.46 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
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #62: input, references = 4, size of lhs = 6:
% 4.18/4.46 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
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #63: input, references = 4, size of lhs = 9:
% 4.18/4.46 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
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #64: input, references = 4, size of lhs = 9:
% 4.18/4.46 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
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #65: input, references = 3, size of lhs = 9:
% 4.18/4.46 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
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #66: input, references = 3, size of lhs = 4:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | val-{T}(V3)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #67: input, references = 3, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v600-{F}(V4) | val-{T}(V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #68: input, references = 3, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v600-{F}(V4) | less-{T}(V3,V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #69: input, references = 3, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V4), P_v600-{F}(V4) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #70: input, references = 4, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v600-{F}(V4) | EXISTS V5: pppp11-{T}(V5,V3,V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #71: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp11-{F}(V0,V1,V2) | less-{T}(V2,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #72: input, references = 4, size of lhs = 1:
% 4.18/4.46 pppp11-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #73: input, references = 4, size of lhs = 0:
% 4.18/4.46 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #74: input, references = 4, size of lhs = 0:
% 4.18/4.46 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #75: input, references = 5, size of lhs = 0:
% 4.18/4.46 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #76: input, references = 7, size of lhs = 2:
% 4.18/4.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #77: input, references = 4, size of lhs = 0:
% 4.18/4.46 FALSE | EXISTS V0: P_v0-{T}(V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #78: input, references = 4, size of lhs = 0:
% 4.18/4.46 FALSE | EXISTS V0: P_v600-{T}(V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 number of initial rules = 79
% 4.18/4.46
% 4.18/4.46 Simplifiers:
% 4.18/4.46 #79: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #80: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #81: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #82: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #83: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 P_v0-{F}(V0), P_v0-{F}(V1), V0 == V1 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #84: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 P_v600-{F}(V0), P_v600-{F}(V1), V0 == V1 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #85: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #86: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #87: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #88: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #89: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V1 == V4 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #90: unsound, references = 3, size of lhs = 3:
% 4.18/4.46 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 number of simplifiers = 12
% 4.18/4.46
% 4.18/4.46 Learnt:
% 4.18/4.46 #92: exists( #75, #56 ), references = 1, size of lhs = 2:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #98: exists( #42, #96 ), references = 1, size of lhs = 1:
% 4.18/4.46 pppp6-{F}(V0,V1,V2,V2) | pppp9-{T}(V2,V0,V1,V2,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #100: exists( #76, #62 ), references = 1, size of lhs = 4:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), is_verdict-{F}(V1), P_unknown-{F}(V2) | P_box_verdict-{T}(V1,V1,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #102: exists( #76, #61 ), references = 1, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), is_verdict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3) | P_box_verdict-{T}(V3,V0,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #104: disj( #36, input ), references = 1, size of lhs = 2:
% 4.18/4.46 in_closed-{F}(V0,V1,V2), in_closed-{F}(V0,V3,V4) | pppp12-{T}(V1,V2,V3,V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #107: exists( #76, #63 ), references = 1, size of lhs = 7:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), V2 == V0, is_verdict-{F}(V2), is_verdict-{F}(V3), V3 == V0 | P_box_verdict-{T}(V2,V3,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #108: exists( #76, #64 ), references = 1, size of lhs = 7:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), V2 == V0, is_verdict-{F}(V2), is_verdict-{F}(V3), V3 == V0 | P_box_verdict-{T}(V3,V2,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #110: exists( #76, #60 ), references = 1, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), is_verdict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3) | P_box_verdict-{T}(V0,V3,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #116: exists( #37, #114 ), references = 5, size of lhs = 1:
% 4.18/4.46 pppp12-{F}(V0,V1,V2,V2) | pppp8-{T}(V2,V0,V1,V2,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #121: disj( #49, #48+#13+#16+#8 ), references = 1, size of lhs = 4:
% 4.18/4.46 leq-{F}(V0,V1), V1 == V0, in_closed-{F}(V1,V2,V3), #-{F} V4 | pppp13-{T}(V2,V3,V4,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #127: disj( #36, #116+#39+#13+#16+#8 ), references = 1, size of lhs = 3:
% 4.18/4.46 leq-{F}(V0,V1), V1 == V0, #-{F} V2 | pppp5-{T}(V2,V0,V1,V1)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #131: disj( #49, #48+#35 ), references = 1, size of lhs = 3:
% 4.18/4.46 in_closed-{F}(V0,V1,V2), in_closed-{F}(V0,V3,V4), pppp5-{F}(V3,V4,V5,V6) | pppp13-{T}(V1,V2,V5,V6)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #135: disj( #36, #116+#39+#35 ), references = 1, size of lhs = 2:
% 4.18/4.46 in_closed-{F}(V0,V1,V2), pppp5-{F}(V1,V2,V3,V4) | pppp5-{T}(V3,V4,V0,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #139: disj( #36, #116+#39+#35 ), references = 1, size of lhs = 2:
% 4.18/4.46 pppp5-{F}(V0,V1,V0,V1), #-{F} V2 | pppp5-{T}(V0,V1,V2,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #146: exists( #37, #144 ), references = 2, size of lhs = 1:
% 4.18/4.46 pppp12-{F}(V0,V0,V1,V2) | pppp8-{T}(V0,V0,V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #150: disj( #36, #146+#38+#35 ), references = 1, size of lhs = 2:
% 4.18/4.46 in_closed-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V1,V2) | pppp5-{T}(V0,V0,V3,V4)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #158: disj( #36, #116+#39+#13+#15+#8 ), references = 1, size of lhs = 3:
% 4.18/4.46 leq-{F}(V0,V1), V1 == V0, #-{F} V2 | pppp5-{T}(V1,V2,V0,V0)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #171: exists( #50, #169 ), references = 2, size of lhs = 1:
% 4.18/4.46 pppp13-{F}(V0,V0,V1,V2) | pppp10-{T}(V0,V0,V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #174: disj( #49, #171+#51 ), references = 1, size of lhs = 1:
% 4.18/4.46 in_closed-{F}(V0,V1,V2) | pppp7-{T}(V0,V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #184: exists( #42, #182 ), references = 1, size of lhs = 1:
% 4.18/4.46 pppp6-{F}(V0,V0,V1,V2) | pppp9-{T}(V0,V0,V0,V1,V2)
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #200: exists( #70, #196 ), references = 1, size of lhs = 5:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v600-{F}(V4) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #202: exists( #78, #198 ), references = 1, size of lhs = 4:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #204: exists( #77, #201 ), references = 1, size of lhs = 3:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #206: exists( #75, #203 ), references = 1, size of lhs = 2:
% 4.18/4.46 P_conflict-{F}(V0), P_compatible-{F}(V1) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #208: exists( #74, #205 ), references = 1, size of lhs = 1:
% 4.18/4.46 P_conflict-{F}(V0) | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 #210: exists( #73, #207 ), references = 1, size of lhs = 0:
% 4.18/4.46 FALSE | FALSE
% 4.18/4.46 (used 0 times, uses = {})
% 4.18/4.46
% 4.18/4.46 number of learnt formulas = 26
% 4.18/4.46
% 4.18/4.46
% 4.18/4.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/4.46
% 4.18/4.46 randbase = 1
%------------------------------------------------------------------------------