%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:10:31 AM UTC 2026
% Result : Theorem 1.95s 2.21s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.02/0.36 % Computer : n019.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Mon Sep 7 13:54:07 UTC 2026
% 0.02/0.37 % CPUTime :
% 1.95/2.21 GeoParameters:
% 1.95/2.21
% 1.95/2.21 tptp_input = 1
% 1.95/2.21 tptp_output = 0
% 1.95/2.21 nonempty = 1
% 1.95/2.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.95/2.21
% 1.95/2.21
% 1.95/2.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.21
% 1.95/2.21 RuleSystem INPUT:
% 1.95/2.21
% 1.95/2.21 Initial Rules:
% 1.95/2.21 #0: input, references = 3, size of lhs = 1:
% 1.95/2.21 less-{F}(V0,V0) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #1: input, references = 3, size of lhs = 2:
% 1.95/2.21 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #2: input, references = 3, size of lhs = 3:
% 1.95/2.21 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #3: input, references = 3, size of lhs = 1:
% 1.95/2.21 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #4: input, references = 5, size of lhs = 1:
% 1.95/2.21 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #5: input, references = 3, size of lhs = 2:
% 1.95/2.21 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #6: input, references = 4, size of lhs = 1:
% 1.95/2.21 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #7: input, references = 4, size of lhs = 1:
% 1.95/2.21 #-{F} V1 | pppp0-{T}(V1,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #8: input, references = 4, size of lhs = 3:
% 1.95/2.21 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #9: input, references = 4, size of lhs = 1:
% 1.95/2.21 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #10: input, references = 3, size of lhs = 2:
% 1.95/2.21 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #11: input, references = 3, size of lhs = 2:
% 1.95/2.21 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #12: input, references = 3, size of lhs = 2:
% 1.95/2.21 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #13: input, references = 3, size of lhs = 1:
% 1.95/2.21 less-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #14: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp8-{F}(V0,V1,V2) | less-{T}(V2,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #15: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp8-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #16: input, references = 4, size of lhs = 1:
% 1.95/2.21 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #17: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #18: input, references = 4, size of lhs = 1:
% 1.95/2.21 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #19: input, references = 4, size of lhs = 1:
% 1.95/2.21 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #20: input, references = 3, size of lhs = 2:
% 1.95/2.21 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #21: input, references = 3, size of lhs = 1:
% 1.95/2.21 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #22: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #23: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #24: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #25: input, references = 3, size of lhs = 2:
% 1.95/2.21 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #26: input, references = 3, size of lhs = 1:
% 1.95/2.21 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #27: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #28: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #29: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #30: input, references = 3, size of lhs = 2:
% 1.95/2.21 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #31: input, references = 3, size of lhs = 1:
% 1.95/2.21 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #32: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #33: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #34: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #35: input, references = 3, size of lhs = 2:
% 1.95/2.21 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #36: input, references = 3, size of lhs = 1:
% 1.95/2.21 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #37: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #38: input, references = 3, size of lhs = 3:
% 1.95/2.21 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #39: input, references = 4, size of lhs = 4:
% 1.95/2.21 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp12-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #40: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V4,V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #41: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #42: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #43: input, references = 3, size of lhs = 1:
% 1.95/2.21 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #44: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #45: input, references = 4, size of lhs = 1:
% 1.95/2.21 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #46: input, references = 3, size of lhs = 2:
% 1.95/2.21 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #47: input, references = 4, size of lhs = 1:
% 1.95/2.21 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #48: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #49: input, references = 3, size of lhs = 1:
% 1.95/2.21 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #50: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #51: input, references = 3, size of lhs = 2:
% 1.95/2.21 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #52: input, references = 3, size of lhs = 4:
% 1.95/2.21 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp13-{T}(V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #53: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp11-{T}(V4,V0,V1,V2,V3)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #54: input, references = 3, size of lhs = 2:
% 1.95/2.21 pppp11-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #55: input, references = 3, size of lhs = 1:
% 1.95/2.21 pppp11-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #56: input, references = 3, size of lhs = 1:
% 1.95/2.21 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #57: input, references = 3, size of lhs = 2:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #58: input, references = 4, size of lhs = 3:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #59: input, references = 4, size of lhs = 3:
% 1.95/2.21 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #60: input, references = 4, size of lhs = 3:
% 1.95/2.21 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #61: input, references = 3, size of lhs = 3:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #62: input, references = 3, size of lhs = 7:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #63: input, references = 4, size of lhs = 7:
% 1.95/2.21 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
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #64: input, references = 4, size of lhs = 7:
% 1.95/2.21 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
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #65: input, references = 4, size of lhs = 6:
% 1.95/2.21 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
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #66: input, references = 3, size of lhs = 9:
% 1.95/2.21 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
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #67: input, references = 4, size of lhs = 9:
% 1.95/2.21 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
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #68: input, references = 3, size of lhs = 9:
% 1.95/2.21 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
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #69: input, references = 3, size of lhs = 5:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), leq-{F}(V3,V4), leq-{F}(V5,V3) | completion_compatible-{T}(V3,V5,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #70: input, references = 3, size of lhs = 8:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), leq-{F}(V3,V4), leq-{F}(V5,V4), less-{F}(V5,V3), leq-{F}(V6,V5), leq-{F}(V6,V3) | completion_conflict-{T}(V5,V3,V6,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #71: input, references = 4, size of lhs = 7:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), leq-{F}(V3,V4), less-{F}(V3,V5), leq-{F}(V5,V4), leq-{F}(V6,V3) | completion_compatible-{T}(V3,V6,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #72: input, references = 3, size of lhs = 7:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), leq-{F}(V3,V4), leq-{F}(V5,V4), less-{F}(V5,V3), leq-{F}(V6,V5) | completion_conflict-{T}(V5,V3,V6,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #73: input, references = 3, size of lhs = 5:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), axis_conflict-{F}(V3,V4,V5,V6), axis_subsumes-{F}(V8,V7,V3,V4) | axis_conflict-{T}(V8,V7,V5,V6)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #74: input, references = 3, size of lhs = 5:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), axis_subsumes-{F}(V3,V4,V5,V6), in_closed-{F}(V7,V3,V4) | in_closed-{T}(V7,V5,V6)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #75: input, references = 4, size of lhs = 5:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_n0-{F}(V4) | less-{T}(V3,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #76: input, references = 4, size of lhs = 6:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_n0-{F}(V4), P_nsup-{F}(V5) | less-{T}(V4,V5)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #77: input, references = 3, size of lhs = 7:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_n0-{F}(V4), P_nsup-{F}(V5), #-{F} V6 | leq-{T}(V3,V6)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #78: input, references = 3, size of lhs = 7:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_n0-{F}(V4), P_nsup-{F}(V5), #-{F} V6 | leq-{T}(V6,V5)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #79: input, references = 3, size of lhs = 8:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_n0-{F}(V4), P_nsup-{F}(V5), P_box_verdict-{F}(V2,V2,V6), V6 == V2 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #80: input, references = 4, size of lhs = 10:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_n0-{F}(V4), P_nsup-{F}(V5), P_box_verdict-{F}(V2,V2,V6), leq-{F}(V3,V7), leq-{F}(V7,V5), completion_compatible-{F}(V7,V3,V5) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #81: input, references = 4, size of lhs = 0:
% 1.95/2.21 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #82: input, references = 4, size of lhs = 0:
% 1.95/2.21 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #83: input, references = 5, size of lhs = 0:
% 1.95/2.21 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #84: input, references = 6, size of lhs = 2:
% 1.95/2.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #85: input, references = 4, size of lhs = 0:
% 1.95/2.21 FALSE | EXISTS V0: P_ninf-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #86: input, references = 4, size of lhs = 0:
% 1.95/2.21 FALSE | EXISTS V0: P_n0-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #87: input, references = 4, size of lhs = 0:
% 1.95/2.21 FALSE | EXISTS V0: P_nsup-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 number of initial rules = 88
% 1.95/2.21
% 1.95/2.21 Simplifiers:
% 1.95/2.21 #88: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #89: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #90: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #91: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #92: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_ninf-{F}(V0), P_ninf-{F}(V1), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #93: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #94: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 P_nsup-{F}(V0), P_nsup-{F}(V1), V0 == V1 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #95: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #96: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #97: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #98: unsound, references = 3, size of lhs = 3:
% 1.95/2.21 pppp11-{F}(V0,V1,V2,V3,V4), pppp11-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 number of simplifiers = 11
% 1.95/2.21
% 1.95/2.21 Learnt:
% 1.95/2.21 #100: exists( #83, #59 ), references = 1, size of lhs = 2:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #110: exists( #45, #108 ), references = 1, size of lhs = 1:
% 1.95/2.21 pppp6-{F}(V0,V1,V2,V2) | pppp10-{T}(V2,V0,V1,V2,V2)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #113: exists( #84, #65 ), references = 1, size of lhs = 4:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), is_verdict-{F}(V1), P_unknown-{F}(V2) | P_box_verdict-{T}(V1,V1,V1)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #121: exists( #84, #63 ), references = 1, size of lhs = 5:
% 1.95/2.21 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)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #122: exists( #84, #64 ), references = 1, size of lhs = 5:
% 1.95/2.21 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)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #125: disj( #39, input ), references = 1, size of lhs = 2:
% 1.95/2.21 in_closed-{F}(V0,V1,V2), in_closed-{F}(V0,V3,V4) | pppp12-{T}(V1,V2,V3,V4)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #134: exists( #84, #67 ), references = 2, size of lhs = 7:
% 1.95/2.21 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)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #151: mergings( V1 == V6, V6 == V9, V2 == V7, V7 == V10, V3 == V8, V8 == V11, V4 == V12, V5 == V13; #142 ), references = 1, size of lhs = 7:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), leq-{F}(V3,V4), P_n0-{F}(V4), P_box_verdict-{F}(V2,V2,V5) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #165: mergings( V1 == V4, V4 == V8, V8 == V11, V2 == V5, V5 == V9, V9 == V12, V3 == V6, V6 == V10, V10 == V13, V7 == V14; #154 ), references = 1, size of lhs = 5:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_ninf-{F}(V3), P_box_verdict-{F}(V2,V2,V4) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #176: mergings( V1 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V9 == V12; #166 ), references = 1, size of lhs = 4:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_box_verdict-{F}(V2,V2,V3) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #190: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #179 ), references = 1, size of lhs = 2:
% 1.95/2.21 P_conflict-{F}(V0), P_compatible-{F}(V1) | P_unknown-{T}(V0)
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #198: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #192 ), references = 1, size of lhs = 1:
% 1.95/2.21 P_conflict-{F}(V0) | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 #200: exists( #81, #192 ), references = 1, size of lhs = 0:
% 1.95/2.21 FALSE | FALSE
% 1.95/2.21 (used 0 times, uses = {})
% 1.95/2.21
% 1.95/2.21 number of learnt formulas = 13
% 1.95/2.21
% 1.95/2.21
% 1.95/2.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.21
% 1.95/2.21 randbase = 1
%------------------------------------------------------------------------------