TSTP Solution File: NUM843+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM843+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:13:22 EDT 2022
% Result : Theorem 1.30s 1.51s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM843+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:25:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.30/1.51 GeoParameters:
% 1.30/1.51
% 1.30/1.51 tptp_input = 1
% 1.30/1.51 tptp_output = 0
% 1.30/1.51 nonempty = 1
% 1.30/1.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.30/1.51
% 1.30/1.51
% 1.30/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.51
% 1.30/1.51 RuleSystem INPUT:
% 1.30/1.51
% 1.30/1.51 Initial Rules:
% 1.30/1.51 #0: input, references = 3, size of lhs = 3:
% 1.30/1.51 P_vd390-{F}(V0), P_vd391-{F}(V1), greater-{F}(V0,V1) | FALSE
% 1.30/1.51 (used 0 times, uses = {})
% 1.30/1.51
% 1.30/1.51 #1: input, references = 9, size of lhs = 3:
% 1.30/1.51 P_vd390-{F}(V0), P_vd391-{F}(V1), leq-{F}(V0,V1) | FALSE
% 1.30/1.51 (used 0 times, uses = {})
% 1.30/1.51
% 1.30/1.51 #2: input, references = 4, size of lhs = 4:
% 1.30/1.51 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3) | less-{T}(V0,V3)
% 1.30/1.51 (used 0 times, uses = {})
% 1.30/1.51
% 1.30/1.51 #3: input, references = 7, size of lhs = 6:
% 1.30/1.51 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V5,V2,V6), greater-{F}(V4,V5) | geq-{T}(V4,V6)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #4: input, references = 7, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), #-{F} V4 | geq-{T}(V4,V2)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #5: input, references = 3, size of lhs = 8:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), geq-{F}(V4,V5), P_vplus-{F}(V7,V4,V8), P_vplus-{F}(V6,V5,V9), geq-{F}(V7,V6) | geq-{T}(V8,V9)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #6: input, references = 3, size of lhs = 8:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V8), P_vplus-{F}(V5,V7,V9), greater-{F}(V6,V7), geq-{F}(V4,V5) | greater-{T}(V8,V9)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #7: input, references = 3, size of lhs = 8:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V8), P_vplus-{F}(V5,V7,V9), geq-{F}(V6,V7), greater-{F}(V4,V5) | greater-{T}(V8,V9)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #8: input, references = 3, size of lhs = 8:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V4,V5), P_vplus-{F}(V7,V4,V8), P_vplus-{F}(V6,V5,V9), greater-{F}(V7,V6) | greater-{T}(V8,V9)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #9: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V7), P_vplus-{F}(V5,V6,V8), less-{F}(V7,V8) | less-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #10: input, references = 4, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V8), P_vplus-{F}(V5,V6,V8), V4 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #11: input, references = 4, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V7), P_vplus-{F}(V5,V6,V8), greater-{F}(V7,V8) | greater-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #12: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V4,V5), P_vplus-{F}(V4,V6,V7), P_vplus-{F}(V5,V6,V8) | less-{T}(V7,V8)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #13: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V5,V6,V7), P_vplus-{F}(V5,V6,V8), V7 == V8 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #14: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V4,V5), P_vplus-{F}(V4,V6,V7), P_vplus-{F}(V5,V6,V8) | greater-{T}(V7,V8)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #15: input, references = 5, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V5,V6) | greater-{T}(V6,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #16: input, references = 3, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), leq-{F}(V4,V5), leq-{F}(V6,V4) | leq-{T}(V6,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #17: input, references = 3, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V6,V5), leq-{F}(V4,V6) | less-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #18: input, references = 3, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), leq-{F}(V6,V5), less-{F}(V4,V6) | less-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #19: input, references = 3, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V4,V5), less-{F}(V6,V4) | less-{T}(V6,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #20: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), leq-{F}(V4,V5) | geq-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #21: input, references = 11, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), geq-{F}(V4,V5) | leq-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #22: input, references = 6, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), leq-{F}(V5,V4) | pppp0-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #23: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp0-{F}(V5,V4) | leq-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #24: input, references = 6, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp0-{F}(V4,V5), V4 == V5 | less-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #25: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V4,V5) | pppp0-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #26: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), #-{F} V5 | pppp0-{T}(V5,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #27: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), geq-{F}(V5,V4) | pppp1-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #28: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp1-{F}(V5,V4) | geq-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #29: input, references = 4, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp1-{F}(V4,V5), V4 == V5 | greater-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #30: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V4,V5) | pppp1-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #31: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), #-{F} V5 | pppp1-{T}(V5,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #32: input, references = 6, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V4,V5) | greater-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #33: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V4,V5) | less-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #34: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), #-{F} V4, #-{F} V5, V4 == V5 | greater-{T}(V4,V5), less-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #35: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V5,V5) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #36: input, references = 4, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V4,V5), less-{F}(V4,V5) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #37: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V5,V5) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #38: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), less-{F}(V5,V4) | pppp2-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #39: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp2-{F}(V5,V4) | less-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #40: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp2-{F}(V4,V5) | EXISTS V6: pppp4-{T}(V4,V5,V6)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #41: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V7) | pppp2-{T}(V4,V7)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #42: input, references = 3, size of lhs = 3:
% 1.30/1.52 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #43: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), greater-{F}(V5,V4) | pppp3-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #44: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp3-{F}(V5,V4) | greater-{T}(V5,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #45: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), pppp3-{F}(V4,V5) | EXISTS V6: pppp5-{T}(V4,V5,V6)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #46: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V5,V6,V7) | pppp3-{T}(V7,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #47: input, references = 3, size of lhs = 3:
% 1.30/1.52 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #48: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), #-{F} V4, #-{F} V5, V4 == V5 | pppp8-{T}(V4,V5), pppp9-{T}(V4,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #49: input, references = 3, size of lhs = 1:
% 1.30/1.52 pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #50: input, references = 3, size of lhs = 1:
% 1.30/1.52 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #51: input, references = 3, size of lhs = 3:
% 1.30/1.52 pppp7-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #52: input, references = 3, size of lhs = 3:
% 1.30/1.52 pppp6-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #53: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V7,V6,V7) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #54: input, references = 4, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V9,V6,V7), P_vplus-{F}(V7,V8,V9) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #55: input, references = 3, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V7,V6,V7) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #56: input, references = 4, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V6,V4,V8), P_vplus-{F}(V6,V5,V8), V4 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #57: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V6,V6) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #58: input, references = 4, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V5,V4,V6), P_vplus-{F}(V4,V5,V7), V6 == V7 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #59: input, references = 3, size of lhs = 9:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vsucc-{F}(V4,V6), P_vplus-{F}(V6,V5,V7), P_vplus-{F}(V4,V5,V8), P_vsucc-{F}(V8,V9), V7 == V9 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #60: input, references = 4, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V2,V4,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #61: input, references = 3, size of lhs = 9:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V5,V7), P_vplus-{F}(V7,V6,V8), P_vplus-{F}(V5,V6,V9), P_vplus-{F}(V4,V9,V10), V8 == V10 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #62: input, references = 4, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #63: input, references = 3, size of lhs = 11:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V4,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V4,V8,V9), P_vplus-{F}(V4,V7,V10), P_vsucc-{F}(V10,V11), V9 == V11 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #64: input, references = 4, size of lhs = 8:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vskolem2-{F}(V4,V5), P_vsucc-{F}(V5,V6), V4 == V2, V4 == V6 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #65: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vsucc-{F}(V4,V4) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #66: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vsucc-{F}(V4,V7), P_vsucc-{F}(V5,V7), V4 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #67: input, references = 3, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vsucc-{F}(V4,V7), P_vsucc-{F}(V5,V7), V4 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #68: input, references = 4, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vsucc-{F}(V4,V2) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #69: input, references = 4, size of lhs = 0:
% 1.30/1.52 FALSE | EXISTS V0: P_vd390-{T}(V0)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #70: input, references = 4, size of lhs = 0:
% 1.30/1.52 FALSE | EXISTS V0: P_vd391-{T}(V0)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #71: input, references = 8, size of lhs = 2:
% 1.30/1.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #72: input, references = 5, size of lhs = 0:
% 1.30/1.52 FALSE | EXISTS V0: P_v1-{T}(V0)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #73: input, references = 15, size of lhs = 1:
% 1.30/1.52 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #74: input, references = 4, size of lhs = 1:
% 1.30/1.52 #-{F} V0 | EXISTS V1: P_vskolem2-{T}(V0,V1)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 number of initial rules = 75
% 1.30/1.52
% 1.30/1.52 Simplifiers:
% 1.30/1.52 #75: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 P_vd390-{F}(V0), P_vd390-{F}(V1), V0 == V1 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #76: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 P_vd391-{F}(V0), P_vd391-{F}(V1), V0 == V1 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #77: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #78: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #79: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #80: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 P_vskolem2-{F}(V0,V1), P_vskolem2-{F}(V0,V3), V1 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #81: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #82: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #83: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #84: unsound, references = 3, size of lhs = 3:
% 1.30/1.52 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 number of simplifiers = 10
% 1.30/1.52
% 1.30/1.52 Learnt:
% 1.30/1.52 #88: exists( #71, #53 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V3) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #89: exists( #71, #57 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V4) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #93: exists( #71, #68 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V2) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #94: exists( #71, #64 ), references = 2, size of lhs = 7:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vskolem2-{F}(V3,V4), V3 == V2, P_vsucc-{F}(V4,V5), V3 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #95: exists( #71, #65 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V3) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #97: exists( #71, #62 ), references = 13, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V1,V3) | P_vplus-{T}(V1,V2,V3)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #107: mergings( V2 == V3, V3 == V4, V4 == V5, V0 == V6; #102 ), references = 2, size of lhs = 3:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V0), P_vd391-{F}(V1) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #116: mergings( V2 == V3, V3 == V4, V4 == V6, V0 == V6; #111 ), references = 1, size of lhs = 3:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V1), P_vd391-{F}(V1) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #122: mergings( V1 == V2, V2 == V3, V3 == V5, V4 == V5; #117 ), references = 1, size of lhs = 2:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V0) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #128: mergings( V2 == V3; #126 ), references = 1, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V2,V3,V4), P_vsucc-{F}(V3,V5), V4 == V5 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #131: mergings( V3 == V4; #129 ), references = 2, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V4) | P_vplus-{T}(V2,V3,V4)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #139: mergings( V2 == V3; #137 ), references = 1, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V5,V6,V3) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #149: mergings( V2 == V3; #146 ), references = 1, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V6,V4,V5), V3 == V6 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #151: mergings( V2 == V3; #147 ), references = 1, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V3,V6,V5), V4 == V6 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #173: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V0 == V12; #163 ), references = 1, size of lhs = 5:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V1), P_vplus-{F}(V0,V0,V1), P_vd391-{F}(V2), V0 == V2 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #195: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #188 ), references = 1, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V2), V2 == V3 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #202: mergings( V2 == V3; #200 ), references = 1, size of lhs = 6:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V3,V6), V5 == V6 | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #205: mergings( V3 == V4; #203 ), references = 2, size of lhs = 4:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V4,V5) | P_vplus-{T}(V4,V3,V5)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #221: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V0 == V9; #214 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V1), P_vd391-{F}(V2), P_vplus-{F}(V1,V3,V2) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #229: exists( #73, #94 ), references = 2, size of lhs = 5:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1), P_v1-{F}(V2), P_vskolem2-{F}(V3,V4), V3 == V2 | P_vsucc-{T}(V4,V3)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #263: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V0 == V15; #250 ), references = 1, size of lhs = 7:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V1), P_vd391-{F}(V2), V2 == V0, P_vplus-{F}(V0,V0,V3), V3 == V2, P_vplus-{F}(V3,V0,V1) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #284: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #277 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V1), P_vd391-{F}(V2), P_vplus-{F}(V3,V0,V1) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #302: mergings( V2 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V0, V3 == V6, V6 == V8, V8 == V16, V4 == V9, V9 == V15; #288 ), references = 1, size of lhs = 4:
% 1.30/1.52 P_v1-{F}(V0), P_vd390-{F}(V1), V1 == V0, P_vd391-{F}(V2) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #315: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V2 == V4, V4 == V6, V6 == V13; #303 ), references = 1, size of lhs = 2:
% 1.30/1.52 P_vd390-{F}(V0), P_vd391-{F}(V1) | P_v1-{T}(V0)
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #326: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #317 ), references = 1, size of lhs = 1:
% 1.30/1.52 P_vd390-{F}(V0) | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 #328: exists( #69, #317 ), references = 1, size of lhs = 0:
% 1.30/1.52 FALSE | FALSE
% 1.30/1.52 (used 0 times, uses = {})
% 1.30/1.52
% 1.30/1.52 number of learnt formulas = 26
% 1.30/1.52
% 1.30/1.52
% 1.30/1.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.52
% 1.30/1.52 randbase = 1
%------------------------------------------------------------------------------