%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n001.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 1.06s 1.37s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT077+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 : n001.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 14:17:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 1.06/1.37 GeoParameters:
% 1.06/1.37
% 1.06/1.37 tptp_input = 1
% 1.06/1.37 tptp_output = 0
% 1.06/1.37 nonempty = 1
% 1.06/1.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.06/1.37
% 1.06/1.37
% 1.06/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.37
% 1.06/1.37 RuleSystem INPUT:
% 1.06/1.37
% 1.06/1.37 Initial Rules:
% 1.06/1.37 #0: input, references = 5, size of lhs = 1:
% 1.06/1.37 less-{F}(V0,V0) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #1: input, references = 3, size of lhs = 2:
% 1.06/1.37 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #2: input, references = 3, size of lhs = 3:
% 1.06/1.37 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #3: input, references = 3, size of lhs = 1:
% 1.06/1.37 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #4: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #5: input, references = 3, size of lhs = 2:
% 1.06/1.37 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #6: input, references = 3, size of lhs = 1:
% 1.06/1.37 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #7: input, references = 3, size of lhs = 1:
% 1.06/1.37 #-{F} V1 | pppp0-{T}(V1,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #8: input, references = 3, size of lhs = 3:
% 1.06/1.37 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #9: input, references = 3, size of lhs = 1:
% 1.06/1.37 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #10: input, references = 3, size of lhs = 2:
% 1.06/1.37 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #11: input, references = 3, size of lhs = 2:
% 1.06/1.37 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #12: input, references = 3, size of lhs = 2:
% 1.06/1.37 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #13: input, references = 3, size of lhs = 1:
% 1.06/1.37 less-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #14: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp8-{F}(V0,V1,V2) | less-{T}(V2,V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #15: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp8-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #16: input, references = 3, size of lhs = 1:
% 1.06/1.37 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #17: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #18: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #19: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #20: input, references = 3, size of lhs = 2:
% 1.06/1.37 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #21: input, references = 3, size of lhs = 1:
% 1.06/1.37 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #22: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #23: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #24: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #25: input, references = 3, size of lhs = 2:
% 1.06/1.37 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #26: input, references = 3, size of lhs = 1:
% 1.06/1.37 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #27: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #28: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #29: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #30: input, references = 3, size of lhs = 2:
% 1.06/1.37 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #31: input, references = 3, size of lhs = 1:
% 1.06/1.37 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #32: input, references = 5, size of lhs = 1:
% 1.06/1.37 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #33: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #34: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #35: input, references = 5, size of lhs = 2:
% 1.06/1.37 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #36: input, references = 3, size of lhs = 1:
% 1.06/1.37 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #37: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #38: input, references = 3, size of lhs = 3:
% 1.06/1.37 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #39: input, references = 3, size of lhs = 4:
% 1.06/1.37 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp13-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #40: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V4,V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #41: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #42: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #43: input, references = 3, size of lhs = 1:
% 1.06/1.37 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #44: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #45: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #46: input, references = 3, size of lhs = 2:
% 1.06/1.37 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #47: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #48: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #49: input, references = 3, size of lhs = 1:
% 1.06/1.37 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #50: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #51: input, references = 3, size of lhs = 2:
% 1.06/1.37 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #52: input, references = 3, size of lhs = 4:
% 1.06/1.37 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp14-{T}(V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #53: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp14-{F}(V0,V1,V2,V3) | EXISTS V4: pppp11-{T}(V4,V0,V1,V2,V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #54: input, references = 3, size of lhs = 2:
% 1.06/1.37 pppp11-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #55: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp11-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #56: input, references = 3, size of lhs = 1:
% 1.06/1.37 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #57: input, references = 3, size of lhs = 2:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #58: input, references = 3, size of lhs = 3:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #59: input, references = 4, size of lhs = 3:
% 1.06/1.37 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #60: input, references = 3, size of lhs = 3:
% 1.06/1.37 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #61: input, references = 3, size of lhs = 3:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #62: input, references = 3, size of lhs = 7:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #63: input, references = 3, size of lhs = 7:
% 1.06/1.37 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
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #64: input, references = 3, size of lhs = 7:
% 1.06/1.37 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
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #65: input, references = 3, size of lhs = 6:
% 1.06/1.37 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
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #66: input, references = 3, size of lhs = 9:
% 1.06/1.37 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
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #67: input, references = 3, size of lhs = 9:
% 1.06/1.37 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
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #68: input, references = 3, size of lhs = 9:
% 1.06/1.37 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
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #69: input, references = 3, size of lhs = 4:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | val-{T}(V3)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #70: input, references = 3, size of lhs = 5:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4) | val-{T}(V4)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #71: input, references = 3, size of lhs = 6:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5) | val-{T}(V5)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #72: input, references = 3, size of lhs = 7:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6) | val-{T}(V6)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #73: input, references = 3, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | val-{T}(V7)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #74: input, references = 3, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V3,V4)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #75: input, references = 5, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V3,V5)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #76: input, references = 4, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V3,V6)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #77: input, references = 3, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V3,V7)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #78: input, references = 4, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V4,V5)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #79: input, references = 4, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V4,V6)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #80: input, references = 3, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V4,V7)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #81: input, references = 4, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V5,V6)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #82: input, references = 3, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V5,V7)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #83: input, references = 4, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | less-{T}(V6,V7)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #84: input, references = 3, size of lhs = 8:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7) | pppp12-{T}(V3,V4,V5,V6,V7)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #85: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V0,V1,V2,V4,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #86: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V0,V1,V4,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #87: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V0,V1,V3,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #88: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V0,V4,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #89: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V0,V3,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #90: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V0,V2,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #91: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V4,V1,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #92: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V3,V1,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #93: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V2,V1,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #94: input, references = 3, size of lhs = 1:
% 1.06/1.37 pppp12-{F}(V1,V1,V2,V3,V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #95: input, references = 4, size of lhs = 12:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v200-{F}(V5), P_v500-{F}(V6), P_v800-{F}(V7), less-{F}(V5,V8), in_open-{F}(V8,V3,V7), less-{F}(V4,V9), in_open-{F}(V9,V3,V6) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #96: input, references = 4, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #97: input, references = 4, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #98: input, references = 5, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #99: input, references = 3, size of lhs = 2:
% 1.06/1.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #100: input, references = 4, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_v0-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #101: input, references = 4, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_v100-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #102: input, references = 4, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_v200-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #103: input, references = 5, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_v500-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #104: input, references = 6, size of lhs = 0:
% 1.06/1.37 FALSE | EXISTS V0: P_v800-{T}(V0)
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 number of initial rules = 105
% 1.06/1.37
% 1.06/1.37 Simplifiers:
% 1.06/1.37 #105: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #106: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #107: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #108: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #109: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_v0-{F}(V0), P_v0-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #110: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_v100-{F}(V0), P_v100-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #111: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_v200-{F}(V0), P_v200-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #112: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_v500-{F}(V0), P_v500-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #113: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 P_v800-{F}(V0), P_v800-{F}(V1), V0 == V1 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #114: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #115: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #116: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #117: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp11-{F}(V0,V1,V2,V3,V4), pppp11-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #118: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #119: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #120: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #121: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #122: unsound, references = 3, size of lhs = 3:
% 1.06/1.37 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 number of simplifiers = 18
% 1.06/1.37
% 1.06/1.37 Learnt:
% 1.06/1.37 #124: exists( #98, #59 ), references = 1, size of lhs = 2:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #127: exists( #104, #125 ), references = 1, size of lhs = 7:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V3), P_v100-{F}(V4), P_v500-{F}(V5) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #129: exists( #103, #126 ), references = 1, size of lhs = 6:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V3), P_v100-{F}(V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #132: exists( #104, #130 ), references = 1, size of lhs = 7:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4), P_v500-{F}(V4), P_v200-{F}(V5) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #172: mergings( V1 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V27, V2 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V28, V3 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V29, V14 == V19, V19 == V24, V24 == V30, V4 == V9, V9 == V20, V20 == V25, V25 == V33, V10 == V26, V26 == V32, V5 == V15, V15 == V31; #145 ), references = 1, size of lhs = 7:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v500-{F}(V4), P_v200-{F}(V5), P_v100-{F}(V6) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #198: mergings( V1 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V25, V2 == V6, V6 == V11, V11 == V15, V15 == V20, V20 == V26, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V27, V13 == V17, V17 == V22, V22 == V28, V4 == V8, V8 == V18, V18 == V23, V23 == V30, V9 == V24, V24 == V29; #173 ), references = 1, size of lhs = 6:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v200-{F}(V4), P_v100-{F}(V5) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #222: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V23, V2 == V6, V6 == V10, V10 == V14, V14 == V19, V19 == V24, V3 == V7, V7 == V11, V11 == V15, V15 == V20, V20 == V25, V12 == V16, V16 == V21, V21 == V26, V4 == V8, V8 == V17, V17 == V22, V22 == V27; #199 ), references = 1, size of lhs = 5:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v100-{F}(V4) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #242: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V15, V15 == V19, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V20, V3 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V21, V10 == V14, V14 == V18, V18 == V22; #223 ), references = 1, size of lhs = 4:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #259: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18; #243 ), references = 1, size of lhs = 3:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #271: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #260 ), references = 1, size of lhs = 2:
% 1.06/1.37 P_conflict-{F}(V0), P_compatible-{F}(V1) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #278: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #272 ), references = 1, size of lhs = 1:
% 1.06/1.37 P_conflict-{F}(V0) | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 #280: exists( #96, #272 ), references = 1, size of lhs = 0:
% 1.06/1.37 FALSE | FALSE
% 1.06/1.37 (used 0 times, uses = {})
% 1.06/1.37
% 1.06/1.37 number of learnt formulas = 12
% 1.06/1.37
% 1.06/1.37
% 1.06/1.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.37
% 1.06/1.37 randbase = 1
%------------------------------------------------------------------------------