%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:33 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 7 14:23:56 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.17/0.47 GeoParameters:
% 0.17/0.47
% 0.17/0.47 tptp_input = 1
% 0.17/0.47 tptp_output = 0
% 0.17/0.47 nonempty = 1
% 0.17/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.17/0.47
% 0.17/0.47
% 0.17/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47
% 0.17/0.47 RuleSystem INPUT:
% 0.17/0.47
% 0.17/0.47 Initial Rules:
% 0.17/0.47 #0: input, references = 4, size of lhs = 1:
% 0.17/0.47 less-{F}(V0,V0) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #1: input, references = 4, size of lhs = 2:
% 0.17/0.47 less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #2: input, references = 3, size of lhs = 3:
% 0.17/0.47 #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #3: input, references = 3, size of lhs = 1:
% 0.17/0.47 leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #4: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp0-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #5: input, references = 3, size of lhs = 2:
% 0.17/0.47 pppp0-{F}(V0,V1), V0 == V1 | less-{T}(V0,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #6: input, references = 3, size of lhs = 1:
% 0.17/0.47 less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #7: input, references = 3, size of lhs = 1:
% 0.17/0.47 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #8: input, references = 3, size of lhs = 3:
% 0.17/0.47 leq-{F}(V0,V1), leq-{F}(V1,V0), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #9: input, references = 7, size of lhs = 1:
% 0.17/0.47 less-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #10: input, references = 4, size of lhs = 2:
% 0.17/0.47 less-{F}(V0,V1), leq-{F}(V2,V0) | less-{T}(V2,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #11: input, references = 3, size of lhs = 2:
% 0.17/0.47 leq-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #12: input, references = 3, size of lhs = 2:
% 0.17/0.47 leq-{F}(V0,V1), leq-{F}(V2,V0) | leq-{T}(V2,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #13: input, references = 3, size of lhs = 2:
% 0.17/0.47 leq-{F}(V0,V1), leq-{F}(V2,V0) | completion_compatible-{T}(V0,V2,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #14: input, references = 3, size of lhs = 5:
% 0.17/0.47 leq-{F}(V0,V1), leq-{F}(V2,V1), less-{F}(V2,V0), leq-{F}(V3,V2), leq-{F}(V3,V0) | completion_conflict-{T}(V2,V0,V3,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #15: input, references = 3, size of lhs = 4:
% 0.17/0.47 leq-{F}(V0,V1), less-{F}(V0,V2), leq-{F}(V2,V1), leq-{F}(V3,V0) | completion_compatible-{T}(V0,V3,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #16: input, references = 4, size of lhs = 4:
% 0.17/0.47 leq-{F}(V0,V1), leq-{F}(V2,V1), less-{F}(V2,V0), leq-{F}(V3,V2) | completion_conflict-{T}(V2,V0,V3,V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #17: input, references = 3, size of lhs = 2:
% 0.17/0.47 axis_conflict-{F}(V0,V1,V2,V3), axis_subsumes-{F}(V5,V4,V0,V1) | axis_conflict-{T}(V5,V4,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #18: input, references = 3, size of lhs = 2:
% 0.17/0.47 axis_subsumes-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #19: input, references = 3, size of lhs = 1:
% 0.17/0.47 in_closed-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #20: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp1-{F}(V0,V1,V2) | in_closed-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #21: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp1-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #22: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp1-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #23: input, references = 3, size of lhs = 2:
% 0.17/0.47 leq-{F}(V1,V0), leq-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #24: input, references = 3, size of lhs = 1:
% 0.17/0.47 in_lopen-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #25: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp2-{F}(V0,V1,V2) | in_lopen-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #26: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp2-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #27: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp2-{F}(V0,V1,V2) | leq-{T}(V0,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #28: input, references = 3, size of lhs = 2:
% 0.17/0.47 less-{F}(V1,V0), leq-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #29: input, references = 3, size of lhs = 1:
% 0.17/0.47 in_ropen-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #30: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp3-{F}(V0,V1,V2) | in_ropen-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #31: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp3-{F}(V0,V1,V2) | leq-{T}(V1,V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #32: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp3-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #33: input, references = 3, size of lhs = 2:
% 0.17/0.47 leq-{F}(V1,V0), less-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #34: input, references = 3, size of lhs = 1:
% 0.17/0.47 in_open-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #35: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp4-{F}(V0,V1,V2) | in_open-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #36: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp4-{F}(V0,V1,V2) | less-{T}(V1,V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #37: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp4-{F}(V0,V1,V2) | less-{T}(V0,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #38: input, references = 3, size of lhs = 2:
% 0.17/0.47 less-{F}(V1,V0), less-{F}(V0,V2) | pppp4-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #39: input, references = 3, size of lhs = 1:
% 0.17/0.47 axis_conflict-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #40: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp5-{F}(V0,V1,V2,V3) | axis_conflict-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #41: input, references = 3, size of lhs = 3:
% 0.17/0.47 pppp5-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #42: input, references = 3, size of lhs = 4:
% 0.17/0.47 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp5-{T}(V0,V1,V2,V3), pppp12-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #43: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V4,V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #44: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #45: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp8-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #46: input, references = 3, size of lhs = 1:
% 0.17/0.47 axis_compatible-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #47: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp6-{F}(V0,V1,V2,V3) | axis_compatible-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #48: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp6-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V4,V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #49: input, references = 3, size of lhs = 2:
% 0.17/0.47 in_closed-{F}(V4,V0,V1), in_closed-{F}(V4,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #50: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V3,V4)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #51: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp9-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #52: input, references = 3, size of lhs = 1:
% 0.17/0.47 axis_subsumes-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #53: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp7-{F}(V0,V1,V2,V3) | axis_subsumes-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #54: input, references = 3, size of lhs = 2:
% 0.17/0.47 pppp7-{F}(V0,V1,V2,V3), in_closed-{F}(V4,V0,V1) | in_closed-{T}(V4,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #55: input, references = 3, size of lhs = 4:
% 0.17/0.47 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), pppp13-{T}(V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #56: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp10-{T}(V4,V0,V1,V2,V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #57: input, references = 3, size of lhs = 2:
% 0.17/0.47 pppp10-{F}(V0,V1,V2,V3,V4), in_closed-{F}(V0,V3,V4) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #58: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp10-{F}(V0,V1,V2,V3,V4) | in_closed-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #59: input, references = 3, size of lhs = 1:
% 0.17/0.47 P_conflict-{F}(V0) | is_verdict-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #60: input, references = 3, size of lhs = 2:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1) | is_verdict-{T}(V1)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #61: input, references = 3, size of lhs = 3:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | is_verdict-{T}(V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #62: input, references = 4, size of lhs = 3:
% 0.17/0.47 P_conflict-{F}(V1), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #63: input, references = 3, size of lhs = 3:
% 0.17/0.47 P_conflict-{F}(V2), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #64: input, references = 3, size of lhs = 3:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V2), P_unknown-{F}(V2) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #65: input, references = 3, size of lhs = 7:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), is_verdict-{F}(V3), V3 == V0, V3 == V1, V3 == V2 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #66: input, references = 3, size of lhs = 7:
% 0.17/0.47 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
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #67: input, references = 3, size of lhs = 7:
% 0.17/0.47 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
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #68: input, references = 3, size of lhs = 6:
% 0.17/0.47 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
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #69: input, references = 3, size of lhs = 9:
% 0.17/0.47 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
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #70: input, references = 3, size of lhs = 9:
% 0.17/0.47 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
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #71: input, references = 3, size of lhs = 9:
% 0.17/0.47 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
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #72: input, references = 3, size of lhs = 4:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | val-{T}(V3)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #73: input, references = 3, size of lhs = 5:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4) | val-{T}(V4)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #74: input, references = 3, size of lhs = 6:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5) | val-{T}(V5)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #75: input, references = 3, size of lhs = 7:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5), P_v1200-{F}(V6) | val-{T}(V6)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #76: input, references = 5, size of lhs = 7:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5), P_v1200-{F}(V6) | less-{T}(V3,V4)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #77: input, references = 5, size of lhs = 7:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5), P_v1200-{F}(V6) | less-{T}(V4,V5)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #78: input, references = 4, size of lhs = 7:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5), P_v1200-{F}(V6) | less-{T}(V5,V6)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #79: input, references = 3, size of lhs = 7:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5), P_v1200-{F}(V6) | pppp11-{T}(V3,V4,V5,V6)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #80: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp11-{F}(V0,V1,V3,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #81: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp11-{F}(V0,V3,V2,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #82: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp11-{F}(V0,V2,V2,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #83: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp11-{F}(V3,V1,V2,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #84: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp11-{F}(V2,V1,V2,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #85: input, references = 3, size of lhs = 1:
% 0.17/0.47 pppp11-{F}(V1,V1,V2,V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #86: input, references = 4, size of lhs = 8:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5), P_v1200-{F}(V6), completion_conflict-{F}(V4,V5,V3,V6) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #87: input, references = 4, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_conflict-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #88: input, references = 4, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_compatible-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #89: input, references = 5, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_unknown-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #90: input, references = 3, size of lhs = 2:
% 0.17/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_box_verdict-{T}(V0,V1,V2)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #91: input, references = 4, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_v0-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #92: input, references = 4, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_v400-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #93: input, references = 4, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_v800-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #94: input, references = 5, size of lhs = 0:
% 0.17/0.47 FALSE | EXISTS V0: P_v1200-{T}(V0)
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 number of initial rules = 95
% 0.17/0.47
% 0.17/0.47 Simplifiers:
% 0.17/0.47 #95: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_conflict-{F}(V0), P_conflict-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #96: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_compatible-{F}(V0), P_compatible-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #97: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_unknown-{F}(V0), P_unknown-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #98: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_box_verdict-{F}(V0,V1,V2), P_box_verdict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #99: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_v0-{F}(V0), P_v0-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #100: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_v400-{F}(V0), P_v400-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #101: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_v800-{F}(V0), P_v800-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #102: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 P_v1200-{F}(V0), P_v1200-{F}(V1), V0 == V1 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #103: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #104: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #105: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #106: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #107: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #108: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #109: unsound, references = 3, size of lhs = 3:
% 0.17/0.47 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 number of simplifiers = 15
% 0.17/0.47
% 0.17/0.47 Learnt:
% 0.17/0.47 #111: exists( #89, #62 ), references = 1, size of lhs = 2:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V0) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #122: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V9 == V5; #116 ), references = 1, size of lhs = 6:
% 0.17/0.47 P_v800-{F}(V0), P_v0-{F}(V0), P_conflict-{F}(V1), P_compatible-{F}(V2), P_unknown-{F}(V3), P_v400-{F}(V4) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #149: mergings( V1 == V5, V5 == V9, V9 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V8 == V12, V12 == V17, V13 == V18, V4 == V19; #135 ), references = 1, size of lhs = 6:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4), P_v800-{F}(V5) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #163: mergings( V1 == V4, V4 == V8, V8 == V13, V2 == V5, V5 == V9, V9 == V14, V3 == V6, V6 == V10, V10 == V15, V7 == V11, V11 == V16, V12 == V17; #150 ), references = 1, size of lhs = 5:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3), P_v400-{F}(V4) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #176: mergings( V1 == V4, V4 == V8, V8 == V12, V2 == V5, V5 == V9, V9 == V13, V3 == V6, V6 == V10, V10 == V14, V7 == V11, V11 == V15; #164 ), references = 1, size of lhs = 4:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2), P_v0-{F}(V3) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #187: mergings( V1 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V9 == V12; #177 ), references = 1, size of lhs = 3:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1), P_unknown-{F}(V2) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #195: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #188 ), references = 1, size of lhs = 2:
% 0.17/0.47 P_conflict-{F}(V0), P_compatible-{F}(V1) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #200: mergings( V1 == V2, V2 == V3, V3 == V4; #196 ), references = 1, size of lhs = 1:
% 0.17/0.47 P_conflict-{F}(V0) | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 #202: exists( #87, #196 ), references = 1, size of lhs = 0:
% 0.17/0.47 FALSE | FALSE
% 0.17/0.47 (used 0 times, uses = {})
% 0.17/0.47
% 0.17/0.47 number of learnt formulas = 9
% 0.17/0.47
% 0.17/0.47
% 0.17/0.47 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47
% 0.17/0.47 randbase = 1
%------------------------------------------------------------------------------