%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT093+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 0.24s 0.54s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT093+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 7 14:01:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.24/0.54 GeoParameters:
% 0.24/0.54
% 0.24/0.54 tptp_input = 1
% 0.24/0.54 tptp_output = 0
% 0.24/0.54 nonempty = 1
% 0.24/0.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.24/0.54
% 0.24/0.54
% 0.24/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.54
% 0.24/0.54 RuleSystem INPUT:
% 0.24/0.54
% 0.24/0.54 Initial Rules:
% 0.24/0.54 #0: input, references = 3, size of lhs = 1:
% 0.24/0.54 less-{F}(V0,V0) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #1: input, references = 3, size of lhs = 2:
% 0.24/0.54 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #2: input, references = 3, size of lhs = 3:
% 0.24/0.54 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #3: input, references = 3, size of lhs = 1:
% 0.24/0.54 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #4: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #5: input, references = 3, size of lhs = 2:
% 0.24/0.54 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #6: input, references = 3, size of lhs = 1:
% 0.24/0.54 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #7: input, references = 3, size of lhs = 1:
% 0.24/0.54 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #8: input, references = 3, size of lhs = 3:
% 0.24/0.54 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #9: input, references = 3, size of lhs = 1:
% 0.24/0.54 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #10: input, references = 3, size of lhs = 2:
% 0.24/0.54 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #11: input, references = 3, size of lhs = 2:
% 0.24/0.54 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #12: input, references = 3, size of lhs = 2:
% 0.24/0.54 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #13: input, references = 4, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), is_verdict-{F}(V1), P_or_verdict-{F}(V0,V1,V3), is_verdict-{F}(V0), V3 == V0 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #14: input, references = 4, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), is_verdict-{F}(V0), P_or_verdict-{F}(V2,V0,V3), is_verdict-{F}(V2), V3 == V0 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #15: input, references = 4, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), is_verdict-{F}(V1), P_or_verdict-{F}(V1,V1,V4), V4 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #16: input, references = 3, size of lhs = 10:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_or_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V3 == V0, V4 == V0, V4 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #17: input, references = 3, size of lhs = 10:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_or_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V3 == V0, V4 == V0, V3 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #18: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_or_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V5 == V0, V5 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #19: input, references = 4, size of lhs = 7:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V1), P_xone_verdict-{F}(V0,V1,V5), is_verdict-{F}(V0), V5 == V0 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #20: input, references = 4, size of lhs = 6:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V1), P_xone_verdict-{F}(V1,V1,V5), V5 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #21: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_xone_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V4 == V0, V4 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #22: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_xone_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V4 == V0, V3 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #23: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_xone_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V3 == V1, V4 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #24: input, references = 4, size of lhs = 8:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_xone_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V3 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #25: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_xone_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V5 == V0, V5 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #26: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_conflict-{F}(V3,V4,V5,V6), axis_conflict-{F}(V3,V4,V8,V7), axis_conflict-{F}(V10,V9,V8,V7), axis_conflict-{F}(V10,V9,V5,V6), in_closed-{F}(V11,V10,V9), in_closed-{F}(V11,V8,V7) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #27: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_conflict-{F}(V3,V4,V5,V6), axis_conflict-{F}(V3,V4,V8,V7), axis_conflict-{F}(V10,V9,V8,V7), axis_conflict-{F}(V10,V9,V5,V6), in_closed-{F}(V11,V10,V9), in_closed-{F}(V11,V5,V6) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #28: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_conflict-{F}(V3,V4,V5,V6), axis_conflict-{F}(V3,V4,V8,V7), axis_conflict-{F}(V10,V9,V8,V7), axis_conflict-{F}(V10,V9,V5,V6), in_closed-{F}(V11,V3,V4), in_closed-{F}(V11,V8,V7) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #29: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_conflict-{F}(V3,V4,V5,V6), axis_conflict-{F}(V3,V4,V8,V7), axis_conflict-{F}(V10,V9,V8,V7), axis_conflict-{F}(V10,V9,V5,V6), in_closed-{F}(V11,V3,V4), in_closed-{F}(V11,V5,V6) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #30: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), in_closed-{F}(V3,V4,V5) | pppp1-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #31: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp1-{F}(V3,V4,V5) | in_closed-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #32: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp1-{F}(V3,V4,V5) | leq-{T}(V4,V3)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #33: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp1-{F}(V3,V4,V5) | leq-{T}(V3,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #34: input, references = 3, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), leq-{F}(V4,V3), leq-{F}(V3,V5) | pppp1-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #35: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), in_lopen-{F}(V3,V4,V5) | pppp2-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #36: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp2-{F}(V3,V4,V5) | in_lopen-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #37: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp2-{F}(V3,V4,V5) | less-{T}(V4,V3)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #38: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp2-{F}(V3,V4,V5) | leq-{T}(V3,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #39: input, references = 3, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), less-{F}(V4,V3), leq-{F}(V3,V5) | pppp2-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #40: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), in_ropen-{F}(V3,V4,V5) | pppp3-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #41: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp3-{F}(V3,V4,V5) | in_ropen-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #42: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp3-{F}(V3,V4,V5) | leq-{T}(V4,V3)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #43: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp3-{F}(V3,V4,V5) | less-{T}(V3,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #44: input, references = 3, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), leq-{F}(V4,V3), less-{F}(V3,V5) | pppp3-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #45: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), in_open-{F}(V3,V4,V5) | pppp4-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #46: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp4-{F}(V3,V4,V5) | in_open-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #47: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp4-{F}(V3,V4,V5) | less-{T}(V4,V3)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #48: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp4-{F}(V3,V4,V5) | less-{T}(V3,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #49: input, references = 3, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), less-{F}(V4,V3), less-{F}(V3,V5) | pppp4-{T}(V3,V4,V5)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #50: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_conflict-{F}(V3,V4,V5,V6) | pppp5-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #51: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp5-{F}(V3,V4,V5,V6) | axis_conflict-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #52: input, references = 3, size of lhs = 6:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp5-{F}(V3,V4,V5,V6), in_closed-{F}(V7,V3,V4), in_closed-{F}(V7,V5,V6) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #53: input, references = 3, size of lhs = 7:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), #-{F} V3, #-{F} V4, #-{F} V5, #-{F} V6 | pppp5-{T}(V3,V4,V5,V6), pppp11-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #54: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp11-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V4,V0,V1,V2,V3)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #55: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #56: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #57: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_compatible-{F}(V3,V4,V5,V6) | pppp6-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #58: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp6-{F}(V3,V4,V5,V6) | axis_compatible-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #59: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp6-{F}(V3,V4,V5,V6) | EXISTS V7: pppp9-{T}(V7,V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #60: input, references = 3, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), in_closed-{F}(V7,V3,V4), in_closed-{F}(V7,V5,V6) | pppp6-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #61: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #62: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #63: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), axis_subsumes-{F}(V3,V4,V5,V6) | pppp7-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #64: input, references = 3, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp7-{F}(V3,V4,V5,V6) | axis_subsumes-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #65: input, references = 3, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), pppp7-{F}(V3,V4,V5,V6), in_closed-{F}(V7,V3,V4) | in_closed-{T}(V7,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #66: input, references = 3, size of lhs = 7:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), #-{F} V3, #-{F} V4, #-{F} V5, #-{F} V6 | pppp7-{T}(V3,V4,V5,V6), pppp12-{T}(V3,V4,V5,V6)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #67: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #68: input, references = 3, size of lhs = 2:
% 0.24/0.54 pppp10-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #69: input, references = 3, size of lhs = 1:
% 0.24/0.54 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #70: input, references = 4, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #71: input, references = 4, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #72: input, references = 3, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #73: input, references = 4, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V0), P_unknown-{F}(V2) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #74: input, references = 3, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V2), P_unknown-{F}(V2) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #75: input, references = 3, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V2), P_conflict-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #76: input, references = 3, size of lhs = 7:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V1, V3 == V0, V3 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #77: input, references = 4, size of lhs = 7:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V1,V3,V5), is_verdict-{F}(V1), V5 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #78: input, references = 4, size of lhs = 7:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V1), P_box_verdict-{F}(V4,V1,V5), is_verdict-{F}(V4), V5 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #79: input, references = 4, size of lhs = 6:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V0), P_box_verdict-{F}(V0,V0,V5), V5 == V0 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #80: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V2,V3,V5), is_verdict-{F}(V2), V3 == V1, V2 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #81: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V2), P_box_verdict-{F}(V4,V2,V5), is_verdict-{F}(V4), V2 == V1, V4 == V1, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #82: input, references = 3, size of lhs = 9:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V5 == V1, V5 == V0, V5 == V2 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #83: input, references = 4, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), P_xone_verdict-{F}(V0,V1,V0) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #84: input, references = 4, size of lhs = 0:
% 0.24/0.54 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #85: input, references = 5, size of lhs = 2:
% 0.24/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_or_verdict-{T}(V0,V1,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #86: input, references = 4, size of lhs = 0:
% 0.24/0.54 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #87: input, references = 5, size of lhs = 0:
% 0.24/0.54 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #88: input, references = 6, size of lhs = 2:
% 0.24/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_xone_verdict-{T}(V0,V1,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #89: input, references = 5, size of lhs = 2:
% 0.24/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 number of initial rules = 90
% 0.24/0.54
% 0.24/0.54 Simplifiers:
% 0.24/0.54 #90: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #91: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 P_or_verdict-{F}(V0,V1,V2), P_or_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #92: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #93: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #94: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 P_xone_verdict-{F}(V0,V1,V2), P_xone_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #95: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #96: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #97: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #98: unsound, references = 3, size of lhs = 3:
% 0.24/0.54 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 number of simplifiers = 9
% 0.24/0.54
% 0.24/0.54 Learnt:
% 0.24/0.54 #100: exists( #87, #73 ), references = 1, size of lhs = 2:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V0) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #103: exists( #85, #13 ), references = 1, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), is_verdict-{F}(V0), is_verdict-{F}(V1) | P_or_verdict-{T}(V0,V1,V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #104: exists( #85, #14 ), references = 1, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), is_verdict-{F}(V0), is_verdict-{F}(V1) | P_or_verdict-{T}(V1,V0,V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #108: exists( #88, #24 ), references = 1, size of lhs = 6:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V1, is_verdict-{F}(V4) | P_xone_verdict-{T}(V4,V3,V2)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #110: exists( #89, #79 ), references = 1, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), is_verdict-{F}(V0), P_conflict-{F}(V1), P_unknown-{F}(V2) | P_box_verdict-{T}(V0,V0,V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #112: exists( #85, #15 ), references = 1, size of lhs = 3:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), is_verdict-{F}(V1) | P_or_verdict-{T}(V1,V1,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #114: exists( #88, #20 ), references = 1, size of lhs = 4:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), is_verdict-{F}(V1), P_unknown-{F}(V2) | P_xone_verdict-{T}(V1,V1,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #117: exists( #89, #77 ), references = 1, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), is_verdict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3) | P_box_verdict-{T}(V1,V3,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #118: exists( #89, #78 ), references = 1, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1), is_verdict-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3) | P_box_verdict-{T}(V3,V1,V1)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #120: exists( #88, #19 ), references = 1, size of lhs = 5:
% 0.24/0.54 P_compatible-{F}(V0), is_verdict-{F}(V0), P_conflict-{F}(V1), is_verdict-{F}(V1), P_unknown-{F}(V2) | P_xone_verdict-{T}(V0,V1,V0)
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #127: mergings( V1 == V3, V2 == V4; #124 ), references = 1, size of lhs = 2:
% 0.24/0.54 P_compatible-{F}(V0), P_conflict-{F}(V1) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #130: mergings( V1 == V2; #128 ), references = 1, size of lhs = 1:
% 0.24/0.54 P_compatible-{F}(V0) | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 #132: exists( #84, #128 ), references = 1, size of lhs = 0:
% 0.24/0.54 FALSE | FALSE
% 0.24/0.54 (used 0 times, uses = {})
% 0.24/0.54
% 0.24/0.54 number of learnt formulas = 13
% 0.24/0.54
% 0.24/0.54
% 0.24/0.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.54
% 0.24/0.54 randbase = 1
%------------------------------------------------------------------------------