%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n002.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 9.96s 10.20s
% Output : Refutation 9.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 14:17:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 9.96/10.20 GeoParameters:
% 9.96/10.20
% 9.96/10.20 tptp_input = 1
% 9.96/10.20 tptp_output = 0
% 9.96/10.20 nonempty = 1
% 9.96/10.20 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.96/10.20 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.96/10.20
% 9.96/10.20
% 9.96/10.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.96/10.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.96/10.20
% 9.96/10.20 RuleSystem INPUT:
% 9.96/10.20
% 9.96/10.20 Initial Rules:
% 9.96/10.20 #0: input, references = 14, size of lhs = 1:
% 9.96/10.20 less-{F}(V0,V0) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #1: input, references = 3, size of lhs = 2:
% 9.96/10.20 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #2: input, references = 3, size of lhs = 3:
% 9.96/10.20 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #3: input, references = 3, size of lhs = 1:
% 9.96/10.20 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #4: input, references = 4, size of lhs = 1:
% 9.96/10.20 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #5: input, references = 3, size of lhs = 2:
% 9.96/10.20 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #6: input, references = 3, size of lhs = 1:
% 9.96/10.20 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #7: input, references = 4, size of lhs = 1:
% 9.96/10.20 #-{F} V1 | pppp0-{T}(V1,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #8: input, references = 4, size of lhs = 3:
% 9.96/10.20 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #9: input, references = 6, size of lhs = 1:
% 9.96/10.20 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #10: input, references = 3, size of lhs = 2:
% 9.96/10.20 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #11: input, references = 3, size of lhs = 2:
% 9.96/10.20 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #12: input, references = 3, size of lhs = 2:
% 9.96/10.20 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #13: input, references = 3, size of lhs = 1:
% 9.96/10.20 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #14: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #15: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #16: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #17: input, references = 3, size of lhs = 2:
% 9.96/10.20 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #18: input, references = 4, size of lhs = 1:
% 9.96/10.20 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #19: input, references = 6, size of lhs = 1:
% 9.96/10.20 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #20: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #21: input, references = 4, size of lhs = 1:
% 9.96/10.20 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #22: input, references = 6, size of lhs = 2:
% 9.96/10.20 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #23: input, references = 3, size of lhs = 1:
% 9.96/10.20 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #24: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #25: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #26: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #27: input, references = 3, size of lhs = 2:
% 9.96/10.20 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #28: input, references = 3, size of lhs = 1:
% 9.96/10.20 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #29: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #30: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #31: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #32: input, references = 3, size of lhs = 2:
% 9.96/10.20 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #33: input, references = 3, size of lhs = 1:
% 9.96/10.20 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #34: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #35: input, references = 3, size of lhs = 3:
% 9.96/10.20 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #36: input, references = 3, size of lhs = 4:
% 9.96/10.20 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp12-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #37: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V4,V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #38: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #39: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #40: input, references = 3, size of lhs = 1:
% 9.96/10.20 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #41: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #42: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V4,V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #43: input, references = 3, size of lhs = 2:
% 9.96/10.20 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #44: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #45: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #46: input, references = 3, size of lhs = 1:
% 9.96/10.20 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #47: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #48: input, references = 3, size of lhs = 2:
% 9.96/10.20 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #49: input, references = 3, size of lhs = 4:
% 9.96/10.20 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp13-{T}(V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #50: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #51: input, references = 3, size of lhs = 2:
% 9.96/10.20 pppp10-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #52: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #53: input, references = 3, size of lhs = 1:
% 9.96/10.20 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #54: input, references = 3, size of lhs = 2:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #55: input, references = 3, size of lhs = 3:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #56: input, references = 4, size of lhs = 3:
% 9.96/10.20 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #57: input, references = 3, size of lhs = 3:
% 9.96/10.20 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #58: input, references = 3, size of lhs = 3:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #59: input, references = 3, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #60: input, references = 3, size of lhs = 7:
% 9.96/10.20 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
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #61: input, references = 3, size of lhs = 7:
% 9.96/10.20 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
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #62: input, references = 3, size of lhs = 6:
% 9.96/10.20 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
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #63: input, references = 3, size of lhs = 9:
% 9.96/10.20 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
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #64: input, references = 3, size of lhs = 9:
% 9.96/10.20 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
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #65: input, references = 3, size of lhs = 9:
% 9.96/10.20 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
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #66: input, references = 3, size of lhs = 4:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | val-{T}(V3)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #67: input, references = 3, size of lhs = 5:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4) | val-{T}(V4)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #68: input, references = 3, size of lhs = 6:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5) | val-{T}(V5)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #69: input, references = 3, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6) | val-{T}(V6)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #70: input, references = 3, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7) | val-{T}(V7)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #71: input, references = 3, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8) | val-{T}(V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #72: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | val-{T}(V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #73: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V3,V4)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #74: input, references = 5, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V3,V5)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #75: input, references = 5, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V3,V6)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #76: input, references = 4, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V3,V7)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #77: input, references = 4, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V3,V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #78: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V3,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #79: input, references = 5, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V4,V5)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #80: input, references = 4, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V4,V6)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #81: input, references = 4, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V4,V7)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #82: input, references = 4, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V4,V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #83: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V4,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #84: input, references = 5, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V5,V6)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #85: input, references = 4, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V5,V7)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #86: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V5,V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #87: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V5,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #88: input, references = 5, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V6,V7)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #89: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V6,V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #90: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V6,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #91: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V7,V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #92: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V7,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #93: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | less-{T}(V8,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #94: input, references = 3, size of lhs = 10:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9) | pppp11-{T}(V3,V4,V5,V6,V7,V8,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #95: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V6,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #96: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V6,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #97: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V5,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #98: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V6,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #99: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V5,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #100: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V4,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #101: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V6,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #102: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V5,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #103: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V4,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #104: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V1,V3,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #105: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V6,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #106: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V5,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #107: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V4,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #108: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V3,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #109: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V0,V2,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #110: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V6,V1,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #111: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V5,V1,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #112: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V4,V1,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #113: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V3,V1,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #114: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V2,V1,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #115: input, references = 3, size of lhs = 1:
% 9.96/10.20 pppp11-{F}(V1,V1,V2,V3,V4,V5,V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #116: input, references = 3, size of lhs = 13:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9), in_lopen-{F}(V10,V3,V5), in_lopen-{F}(V11,V3,V6), in_lopen-{F}(V12,V3,V7) | in_lopen-{T}(V12,V3,V9)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #117: input, references = 3, size of lhs = 13:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9), in_lopen-{F}(V10,V3,V5), in_lopen-{F}(V11,V3,V6), in_lopen-{F}(V12,V3,V7) | in_lopen-{T}(V11,V3,V8)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #118: input, references = 4, size of lhs = 13:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7), P_v800-{F}(V8), P_v1200-{F}(V9), in_lopen-{F}(V10,V3,V5), in_lopen-{F}(V11,V3,V6), in_lopen-{F}(V12,V3,V7) | in_lopen-{T}(V10,V3,V4)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #119: input, references = 4, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #120: input, references = 4, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #121: input, references = 5, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #122: input, references = 3, size of lhs = 2:
% 9.96/10.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #123: input, references = 4, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v0-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #124: input, references = 4, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v16-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #125: input, references = 4, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v32-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #126: input, references = 6, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v400-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #127: input, references = 9, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v600-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #128: input, references = 13, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v800-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #129: input, references = 15, size of lhs = 0:
% 9.96/10.20 FALSE | EXISTS V0: P_v1200-{T}(V0)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 number of initial rules = 130
% 9.96/10.20
% 9.96/10.20 Simplifiers:
% 9.96/10.20 #130: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #131: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #132: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #133: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #134: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v0-{F}(V0), P_v0-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #135: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v16-{F}(V0), P_v16-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #136: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v32-{F}(V0), P_v32-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #137: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v400-{F}(V0), P_v400-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #138: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v600-{F}(V0), P_v600-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #139: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v800-{F}(V0), P_v800-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #140: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 P_v1200-{F}(V0), P_v1200-{F}(V1), V0 == V1 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #141: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #142: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #143: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #144: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V0 == V7 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #145: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V1 == V8 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #146: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V2 == V9 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #147: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V3 == V10 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #148: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V4 == V11 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #149: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V5 == V12 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #150: unsound, references = 3, size of lhs = 3:
% 9.96/10.20 pppp11-{F}(V0,V1,V2,V3,V4,V5,V6), pppp11-{F}(V7,V8,V9,V10,V11,V12,V13), V6 == V13 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 number of simplifiers = 21
% 9.96/10.20
% 9.96/10.20 Learnt:
% 9.96/10.20 #152: exists( #121, #56 ), references = 1, size of lhs = 2:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #155: exists( #129, #153 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v32-{F}(V3), P_v16-{F}(V4), P_v400-{F}(V5), P_v600-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #157: exists( #128, #154 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v32-{F}(V3), P_v16-{F}(V4), P_v400-{F}(V5), P_v600-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #159: exists( #127, #156 ), references = 1, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v32-{F}(V3), P_v16-{F}(V4), P_v400-{F}(V5) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #161: exists( #126, #158 ), references = 1, size of lhs = 6:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v32-{F}(V3), P_v16-{F}(V4) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #164: exists( #129, #162 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v600-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #166: exists( #128, #163 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v600-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #168: exists( #127, #165 ), references = 1, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #171: exists( #129, #169 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v600-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #173: exists( #128, #170 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v600-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #176: exists( #129, #174 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v800-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #179: exists( #129, #177 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V5), P_v600-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #181: exists( #128, #178 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V5), P_v600-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #183: exists( #127, #180 ), references = 1, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V5) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #187: exists( #129, #185 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v400-{F}(V4), P_v32-{F}(V5), P_v600-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #189: exists( #128, #186 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v400-{F}(V4), P_v32-{F}(V5), P_v600-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #191: exists( #127, #188 ), references = 1, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v400-{F}(V4), P_v32-{F}(V5) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #194: exists( #129, #192 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v600-{F}(V5), P_v400-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #196: exists( #128, #193 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v600-{F}(V5), P_v400-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #199: exists( #129, #197 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v800-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #204: exists( #129, #202 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #206: exists( #128, #203 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v600-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #210: exists( #129, #208 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v600-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #212: exists( #128, #209 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v600-{F}(V4), P_v32-{F}(V5), P_v400-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #273: mergings( V1 == V8, V8 == V15, V15 == V23, V23 == V31, V31 == V39, V2 == V9, V9 == V16, V16 == V24, V24 == V32, V32 == V40, V3 == V10, V10 == V17, V17 == V25, V25 == V33, V33 == V41, V18 == V26, V26 == V34, V34 == V42, V4 == V11, V11 == V27, V27 == V35, V35 == V45, V12 == V19, V19 == V28, V28 == V36, V5 == V20, V20 == V37, V37 == V43, V6 == V13, V13 == V21, V21 == V29, V29 == V44, V7 == V14, V14 == V22, V22 == V30, V30 == V38, V38 == V46; #235 ), references = 1, size of lhs = 11:
% 9.96/10.20 P_v32-{F}(V0), leq-{F}(V0,V0), P_conflict-{F}(V1), P_compatible-{F}(V2), P_unknown-{F}(V3), P_v0-{F}(V4), P_v400-{F}(V5), P_v600-{F}(V6), P_v16-{F}(V7), V0 == V7, P_v800-{F}(V8) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #307: mergings( V1 == V7, V7 == V13, V13 == V20, V20 == V27, V27 == V34, V2 == V8, V8 == V14, V14 == V21, V21 == V28, V28 == V35, V3 == V9, V9 == V15, V15 == V22, V22 == V29, V29 == V36, V16 == V23, V23 == V30, V30 == V37, V4 == V10, V10 == V24, V24 == V31, V31 == V40, V11 == V17, V17 == V25, V25 == V32, V5 == V18, V18 == V33, V33 == V38, V6 == V12, V12 == V19, V19 == V26, V26 == V39; #274 ), references = 1, size of lhs = 10:
% 9.96/10.20 P_v32-{F}(V0), leq-{F}(V0,V0), P_conflict-{F}(V1), P_compatible-{F}(V2), P_unknown-{F}(V3), P_v0-{F}(V4), P_v400-{F}(V5), P_v600-{F}(V6), P_v16-{F}(V7), V0 == V7 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #337: mergings( V1 == V6, V6 == V11, V11 == V17, V17 == V23, V23 == V30, V2 == V7, V7 == V12, V12 == V18, V18 == V24, V24 == V31, V3 == V8, V8 == V13, V13 == V19, V19 == V25, V25 == V32, V14 == V20, V20 == V26, V26 == V33, V4 == V9, V9 == V21, V21 == V27, V27 == V35, V10 == V15, V15 == V22, V22 == V28, V5 == V16, V16 == V29, V29 == V34; #308 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_v32-{F}(V0), leq-{F}(V0,V0), P_conflict-{F}(V1), P_compatible-{F}(V2), P_unknown-{F}(V3), P_v0-{F}(V4), P_v400-{F}(V5), P_v16-{F}(V6), V0 == V6 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #364: mergings( V1 == V5, V5 == V10, V10 == V15, V15 == V21, V21 == V27, V2 == V6, V6 == V11, V11 == V16, V16 == V22, V22 == V28, V3 == V7, V7 == V12, V12 == V17, V17 == V23, V23 == V29, V13 == V18, V18 == V24, V24 == V30, V4 == V8, V8 == V19, V19 == V25, V25 == V31, V9 == V14, V14 == V20, V20 == V26; #338 ), references = 2, size of lhs = 8:
% 9.96/10.20 P_v32-{F}(V0), leq-{F}(V0,V0), P_conflict-{F}(V1), P_compatible-{F}(V2), P_unknown-{F}(V3), P_v0-{F}(V4), P_v16-{F}(V5), V0 == V5 | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #367: exists( #129, #365 ), references = 1, size of lhs = 9:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V4), P_v400-{F}(V5), P_v600-{F}(V6), P_v800-{F}(V7) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #369: exists( #128, #366 ), references = 1, size of lhs = 8:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V4), P_v400-{F}(V5), P_v600-{F}(V6) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #371: exists( #127, #368 ), references = 1, size of lhs = 7:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V4), P_v400-{F}(V5) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #373: exists( #126, #370 ), references = 2, size of lhs = 6:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4), P_v32-{F}(V4) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #377: exists( #125, #375 ), references = 1, size of lhs = 5:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v16-{F}(V4) | P_v32-{T}(V4)
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #384: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8; #379 ), references = 1, size of lhs = 4:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #389: mergings( V1 == V4, V2 == V5, V3 == V6; #385 ), references = 1, size of lhs = 3:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #393: mergings( V1 == V3, V2 == V4; #390 ), references = 1, size of lhs = 2:
% 9.96/10.20 P_conflict-{F}(V0), P_compatible-{F}(V1) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #396: mergings( V1 == V2; #394 ), references = 1, size of lhs = 1:
% 9.96/10.20 P_conflict-{F}(V0) | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 #398: exists( #119, #394 ), references = 1, size of lhs = 0:
% 9.96/10.20 FALSE | FALSE
% 9.96/10.20 (used 0 times, uses = {})
% 9.96/10.20
% 9.96/10.20 number of learnt formulas = 38
% 9.96/10.20
% 9.96/10.20
% 9.96/10.20 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.96/10.20
% 9.96/10.20 randbase = 1
%------------------------------------------------------------------------------