%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:33 AM UTC 2026
% Result : Theorem 1.16s 1.45s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 14:23:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 1.16/1.45 GeoParameters:
% 1.16/1.45
% 1.16/1.45 tptp_input = 1
% 1.16/1.45 tptp_output = 0
% 1.16/1.45 nonempty = 1
% 1.16/1.45 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.45 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.16/1.45
% 1.16/1.45
% 1.16/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.45
% 1.16/1.45 RuleSystem INPUT:
% 1.16/1.45
% 1.16/1.45 Initial Rules:
% 1.16/1.45 #0: input, references = 3, size of lhs = 1:
% 1.16/1.45 less-{F}(V0,V0) | FALSE
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #1: input, references = 3, size of lhs = 2:
% 1.16/1.45 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #2: input, references = 3, size of lhs = 3:
% 1.16/1.45 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #3: input, references = 3, size of lhs = 1:
% 1.16/1.45 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #4: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #5: input, references = 3, size of lhs = 2:
% 1.16/1.45 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #6: input, references = 3, size of lhs = 1:
% 1.16/1.45 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #7: input, references = 3, size of lhs = 1:
% 1.16/1.45 #-{F} V1 | pppp0-{T}(V1,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #8: input, references = 3, size of lhs = 3:
% 1.16/1.45 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #9: input, references = 5, size of lhs = 1:
% 1.16/1.45 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #10: input, references = 3, size of lhs = 2:
% 1.16/1.45 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #11: input, references = 3, size of lhs = 2:
% 1.16/1.45 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #12: input, references = 3, size of lhs = 2:
% 1.16/1.45 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #13: input, references = 3, size of lhs = 1:
% 1.16/1.45 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #14: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #15: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #16: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #17: input, references = 3, size of lhs = 2:
% 1.16/1.45 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #18: input, references = 3, size of lhs = 1:
% 1.16/1.45 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #19: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #20: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #21: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #22: input, references = 3, size of lhs = 2:
% 1.16/1.45 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #23: input, references = 3, size of lhs = 1:
% 1.16/1.45 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #24: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #25: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #26: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #27: input, references = 3, size of lhs = 2:
% 1.16/1.45 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #28: input, references = 3, size of lhs = 1:
% 1.16/1.45 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #29: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #30: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #31: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #32: input, references = 3, size of lhs = 2:
% 1.16/1.45 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #33: input, references = 3, size of lhs = 1:
% 1.16/1.45 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #34: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #35: input, references = 3, size of lhs = 3:
% 1.16/1.45 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #36: input, references = 3, size of lhs = 4:
% 1.16/1.45 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp16-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #37: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp16-{F}(V0,V1,V2,V3) | EXISTS V4: pppp13-{T}(V4,V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #38: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp13-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #39: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp13-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #40: input, references = 3, size of lhs = 1:
% 1.16/1.45 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #41: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #42: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp14-{T}(V4,V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #43: input, references = 3, size of lhs = 2:
% 1.16/1.45 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #44: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp14-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #45: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp14-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #46: input, references = 3, size of lhs = 1:
% 1.16/1.45 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #47: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #48: input, references = 3, size of lhs = 2:
% 1.16/1.45 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #49: input, references = 3, size of lhs = 4:
% 1.16/1.45 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp17-{T}(V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #50: input, references = 3, size of lhs = 1:
% 1.16/1.45 pppp17-{F}(V0,V1,V2,V3) | EXISTS V4: pppp15-{T}(V4,V0,V1,V2,V3)
% 1.16/1.45 (used 0 times, uses = {})
% 1.16/1.45
% 1.16/1.45 #51: input, references = 3, size of lhs = 2:
% 1.16/1.45 pppp15-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #52: input, references = 3, size of lhs = 1:
% 1.16/1.46 pppp15-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #53: input, references = 3, size of lhs = 1:
% 1.16/1.46 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #54: input, references = 3, size of lhs = 2:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #55: input, references = 3, size of lhs = 3:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #56: input, references = 4, size of lhs = 3:
% 1.16/1.46 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #57: input, references = 3, size of lhs = 3:
% 1.16/1.46 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #58: input, references = 3, size of lhs = 3:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #59: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #60: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V0,V3,V5), is_verdict-{F}(V0), V5 == V0 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #61: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V0), P_box_verdict-{F}(V4,V0,V5), is_verdict-{F}(V4), V5 == V0 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #62: input, references = 3, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V1), P_box_verdict-{F}(V1,V1,V5), V5 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #63: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V2,V3,V5), is_verdict-{F}(V2), V3 == V0, V2 == V0, V5 == V2 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #64: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V2), P_box_verdict-{F}(V4,V2,V5), is_verdict-{F}(V4), V2 == V0, V4 == V0, V5 == V2 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #65: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), P_box_verdict-{F}(V4,V3,V5), is_verdict-{F}(V4), V5 == V0, V5 == V1, V5 == V2 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #66: input, references = 3, size of lhs = 5:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), wf-{F}(V3,V4,V5,V6) | pppp8-{T}(V4,V5,V6)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #67: input, references = 3, size of lhs = 5:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), pppp8-{F}(V4,V5,V6) | wf-{T}(V3,V4,V5,V6)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #68: input, references = 3, size of lhs = 5:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), pppp8-{F}(V4,V5,V6) | leq-{T}(V5,V4)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #69: input, references = 3, size of lhs = 5:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), pppp8-{F}(V4,V5,V6) | leq-{T}(V4,V6)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #70: input, references = 3, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), leq-{F}(V5,V4), leq-{F}(V4,V6) | pppp8-{T}(V4,V5,V6)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #71: input, references = 3, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), wf-{F}(V4,V5,V6,V7) | pppp9-{T}(V5,V6,V7)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #72: input, references = 3, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), pppp9-{F}(V5,V6,V7) | wf-{T}(V4,V5,V6,V7)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #73: input, references = 3, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), pppp9-{F}(V5,V6,V7) | leq-{T}(V6,V5)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #74: input, references = 3, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), pppp9-{F}(V5,V6,V7) | leq-{T}(V5,V7)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #75: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), leq-{F}(V6,V5), leq-{F}(V5,V7) | pppp9-{T}(V5,V6,V7)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #76: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), wf-{F}(V5,V6,V7,V8) | pppp10-{T}(V6,V7,V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #77: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), pppp10-{F}(V6,V7,V8) | wf-{T}(V5,V6,V7,V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #78: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), pppp10-{F}(V6,V7,V8) | leq-{T}(V7,V6)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #79: input, references = 3, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), pppp10-{F}(V6,V7,V8) | leq-{T}(V6,V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #80: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), leq-{F}(V7,V6), leq-{F}(V6,V8) | pppp10-{T}(V6,V7,V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #81: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), wf-{F}(V6,V7,V8,V9) | pppp11-{T}(V7,V8,V9)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #82: input, references = 4, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), pppp11-{F}(V7,V8,V9) | wf-{T}(V6,V7,V8,V9)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #83: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), pppp11-{F}(V7,V8,V9) | leq-{T}(V8,V7)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #84: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), pppp11-{F}(V7,V8,V9) | leq-{T}(V7,V9)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #85: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), pppp11-{F}(V8,V8,V9) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #86: input, references = 4, size of lhs = 10:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), leq-{F}(V8,V7), leq-{F}(V7,V9), V7 == V8 | pppp11-{T}(V7,V8,V9)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #87: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), wf-{F}(V7,V8,V9,V10) | pppp12-{T}(V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #88: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), pppp12-{F}(V8,V9,V10) | wf-{T}(V7,V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #89: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), pppp12-{F}(V8,V9,V10) | leq-{T}(V9,V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #90: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), pppp12-{F}(V8,V9,V10) | leq-{T}(V8,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #91: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), pppp12-{F}(V10,V9,V10) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #92: input, references = 3, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), leq-{F}(V9,V8), leq-{F}(V8,V10), V8 == V10 | pppp12-{T}(V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #93: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), wf-{F}(V3,V8,V9,V10) | sem_nonempty-{T}(V3,V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #94: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), wf-{F}(V4,V8,V9,V10) | sem_nonempty-{T}(V4,V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #95: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), wf-{F}(V5,V8,V9,V10) | sem_nonempty-{T}(V5,V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #96: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), wf-{F}(V6,V8,V9,V10) | sem_nonempty-{T}(V6,V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #97: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), wf-{F}(V7,V8,V9,V10) | sem_nonempty-{T}(V7,V8,V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #98: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | is_op-{T}(V3)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #99: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | is_op-{T}(V6)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #100: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | is_op-{T}(V4)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #101: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | is_op-{T}(V7)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #102: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | is_op-{T}(V5)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #103: input, references = 4, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V6), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #104: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V4), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #105: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V7), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #106: input, references = 4, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V5), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #107: input, references = 4, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V4), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #108: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V7), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #109: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V5), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #110: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V7), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #111: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V5), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #112: input, references = 3, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V5) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #113: input, references = 3, size of lhs = 14:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), is_op-{F}(V8), V8 == V3, V8 == V6, V8 == V4, V8 == V7, V8 == V5 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #114: input, references = 3, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8) | val-{T}(V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #115: input, references = 3, size of lhs = 10:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V9) | val-{T}(V9)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #116: input, references = 3, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V9), P_v1200-{F}(V10) | val-{T}(V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #117: input, references = 4, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V9), P_v1200-{F}(V10) | less-{T}(V8,V9)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #118: input, references = 4, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V9), P_v1200-{F}(V10) | less-{T}(V9,V10)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #119: input, references = 4, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V9), P_v600-{F}(V9), P_v1200-{F}(V10) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #120: input, references = 3, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V10), P_v600-{F}(V9), P_v1200-{F}(V10) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #121: input, references = 3, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V10), P_v1200-{F}(V10) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #122: input, references = 4, size of lhs = 12:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V9), P_v1200-{F}(V10), wf-{F}(V6,V9,V8,V10) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #123: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #124: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #125: input, references = 5, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #126: input, references = 3, size of lhs = 2:
% 1.16/1.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #127: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_eq-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #128: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_lteq-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #129: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_gteq-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #130: input, references = 5, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_lt-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #131: input, references = 6, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_gt-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #132: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_v0-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #133: input, references = 4, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_v600-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #134: input, references = 5, size of lhs = 0:
% 1.16/1.46 FALSE | EXISTS V0: P_v1200-{T}(V0)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 number of initial rules = 135
% 1.16/1.46
% 1.16/1.46 Simplifiers:
% 1.16/1.46 #135: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #136: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #137: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #138: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #139: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_eq-{F}(V0), P_eq-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #140: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_lteq-{F}(V0), P_lteq-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #141: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_gteq-{F}(V0), P_gteq-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #142: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_lt-{F}(V0), P_lt-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #143: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_gt-{F}(V0), P_gt-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #144: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_v0-{F}(V0), P_v0-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #145: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_v600-{F}(V0), P_v600-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #146: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 P_v1200-{F}(V0), P_v1200-{F}(V1), V0 == V1 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #147: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #148: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #149: unsound, references = 3, size of lhs = 3:
% 1.16/1.46 pppp15-{F}(V0,V1,V2,V3,V4), pppp15-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 number of simplifiers = 15
% 1.16/1.46
% 1.16/1.46 Learnt:
% 1.16/1.46 #151: exists( #125, #56 ), references = 1, size of lhs = 2:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #154: exists( #131, #103 ), references = 1, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lt-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #155: exists( #131, #106 ), references = 1, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_gteq-{F}(V3), P_lteq-{F}(V4), P_lt-{F}(V5) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #157: exists( #130, #153 ), references = 1, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_gteq-{F}(V3), P_lteq-{F}(V4) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #159: exists( #131, #107 ), references = 1, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_lt-{F}(V4), P_gteq-{F}(V5) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #197: mergings( V1 == V9, V9 == V18, V18 == V25, V25 == V31, V2 == V10, V10 == V19, V19 == V26, V26 == V32, V3 == V11, V11 == V20, V20 == V27, V27 == V33, V4 == V12, V12 == V21, V21 == V28, V28 == V34, V5 == V13, V13 == V22, V22 == V29, V29 == V35, V6 == V14, V14 == V23, V23 == V30, V30 == V36, V7 == V15, V15 == V24, V24 == V37, V8 == V16, V16 == V38, V17 == V39; #166 ), references = 1, size of lhs = 11:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V9), V9 == V8 | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #229: mergings( V1 == V9, V9 == V18, V18 == V25, V25 == V31, V2 == V10, V10 == V19, V19 == V26, V26 == V32, V3 == V11, V11 == V20, V20 == V27, V27 == V33, V4 == V12, V12 == V21, V21 == V28, V28 == V34, V5 == V13, V13 == V22, V22 == V29, V29 == V35, V6 == V14, V14 == V23, V23 == V30, V30 == V36, V7 == V15, V15 == V24, V24 == V37, V8 == V16, V16 == V38, V17 == V39; #198 ), references = 1, size of lhs = 9:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8) | P_v600-{T}(V8)
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #231: exists( #134, #119 ), references = 1, size of lhs = 10:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7), P_v0-{F}(V8), P_v600-{F}(V8) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #271: mergings( V1 == V9, V9 == V17, V17 == V24, V24 == V30, V30 == V38, V2 == V10, V10 == V18, V18 == V25, V25 == V31, V31 == V39, V3 == V11, V11 == V19, V19 == V26, V26 == V32, V32 == V40, V4 == V12, V12 == V20, V20 == V27, V27 == V33, V33 == V41, V5 == V13, V13 == V21, V21 == V28, V28 == V34, V34 == V42, V6 == V14, V14 == V22, V22 == V29, V29 == V35, V35 == V43, V7 == V15, V15 == V23, V23 == V36, V36 == V44, V8 == V16, V16 == V37, V37 == V45; #233 ), references = 1, size of lhs = 8:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6), P_gt-{F}(V7) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #307: mergings( V1 == V8, V8 == V15, V15 == V22, V22 == V28, V28 == V35, V2 == V9, V9 == V16, V16 == V23, V23 == V29, V29 == V36, V3 == V10, V10 == V17, V17 == V24, V24 == V30, V30 == V37, V4 == V11, V11 == V18, V18 == V25, V25 == V31, V31 == V38, V5 == V12, V12 == V19, V19 == V26, V26 == V32, V32 == V39, V6 == V13, V13 == V20, V20 == V27, V27 == V33, V33 == V40, V7 == V14, V14 == V21, V21 == V34, V34 == V41; #272 ), references = 1, size of lhs = 7:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5), P_lt-{F}(V6) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #339: mergings( V1 == V7, V7 == V13, V13 == V19, V19 == V25, V25 == V31, V2 == V8, V8 == V14, V14 == V20, V20 == V26, V26 == V32, V3 == V9, V9 == V15, V15 == V21, V21 == V27, V27 == V33, V4 == V10, V10 == V16, V16 == V22, V22 == V28, V28 == V34, V5 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V35, V6 == V12, V12 == V18, V18 == V24, V24 == V30, V30 == V36; #308 ), references = 1, size of lhs = 6:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4), P_gteq-{F}(V5) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #366: mergings( V1 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V26, V2 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V3 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V5 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30; #340 ), references = 1, size of lhs = 5:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3), P_lteq-{F}(V4) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #388: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V21, V2 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V3 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24; #367 ), references = 1, size of lhs = 4:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_eq-{F}(V3) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #405: 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; #389 ), references = 1, size of lhs = 3:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #417: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #406 ), references = 1, size of lhs = 2:
% 1.16/1.46 P_conflict-{F}(V0), P_compatible-{F}(V1) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #424: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #418 ), references = 1, size of lhs = 1:
% 1.16/1.46 P_conflict-{F}(V0) | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 #426: exists( #123, #418 ), references = 1, size of lhs = 0:
% 1.16/1.46 FALSE | FALSE
% 1.16/1.46 (used 0 times, uses = {})
% 1.16/1.46
% 1.16/1.46 number of learnt formulas = 17
% 1.16/1.46
% 1.16/1.46
% 1.16/1.46 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.46
% 1.16/1.46 randbase = 1
%------------------------------------------------------------------------------