TSTP Solution File: NUM838+2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:13:21 EDT 2022
% Result : Theorem 0.77s 0.97s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 23:44:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/0.97 GeoParameters:
% 0.77/0.97
% 0.77/0.97 tptp_input = 1
% 0.77/0.97 tptp_output = 0
% 0.77/0.97 nonempty = 1
% 0.77/0.97 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.97 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.77/0.97
% 0.77/0.97
% 0.77/0.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.97
% 0.77/0.97 RuleSystem INPUT:
% 0.77/0.97
% 0.77/0.97 Initial Rules:
% 0.77/0.97 #0: input, references = 4, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V2,V4) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #1: input, references = 8, size of lhs = 5:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4) | greater-{T}(V0,V3)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #2: input, references = 5, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6), P_vplus-{F}(V5,V7,V8), P_vplus-{F}(V6,V7,V9) | less-{T}(V8,V9)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #3: input, references = 3, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V5,V7,V9) | greater-{T}(V8,V9)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #4: input, references = 4, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6) | greater-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #5: input, references = 3, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V6,V7,V9), V8 == V9 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #6: input, references = 3, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6), P_vplus-{F}(V5,V7,V8), P_vplus-{F}(V6,V7,V9) | greater-{T}(V8,V9)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #7: input, references = 3, size of lhs = 11:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), greater-{F}(V5,V6), P_vplus-{F}(V6,V8,V9), P_vplus-{F}(V7,V9,V10), P_vplus-{F}(V9,V7,V11), V10 == V11 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #8: input, references = 3, size of lhs = 12:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V7,V6,V8), greater-{F}(V5,V6), P_vplus-{F}(V8,V9,V10), P_vplus-{F}(V6,V9,V11), P_vplus-{F}(V7,V11,V12), V10 == V12 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #9: input, references = 3, size of lhs = 12:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V7,V6,V9), greater-{F}(V5,V6), P_vplus-{F}(V8,V10,V11), P_vplus-{F}(V9,V10,V12), V11 == V12 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #10: input, references = 3, size of lhs = 11:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V6,V7,V8), greater-{F}(V5,V6), P_vplus-{F}(V5,V9,V10), P_vplus-{F}(V8,V9,V11), V10 == V11 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #11: input, references = 3, size of lhs = 9:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V6,V7,V8), greater-{F}(V5,V6), V5 == V8 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #12: input, references = 5, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V5,V6,V7) | greater-{T}(V7,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #13: input, references = 3, size of lhs = 7:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), leq-{F}(V5,V6), leq-{F}(V7,V5) | leq-{T}(V7,V6)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #14: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6) | greater-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #15: input, references = 6, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6) | less-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #16: input, references = 3, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), #-{F} V5, #-{F} V6, V5 == V6 | greater-{T}(V5,V6), less-{T}(V5,V6)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #17: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V6,V6) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #18: input, references = 5, size of lhs = 7:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6), less-{F}(V5,V6) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #19: input, references = 5, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V6,V6) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #20: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V6,V5) | pppp0-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #21: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp0-{F}(V6,V5) | less-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #22: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp0-{F}(V5,V6) | EXISTS V7: pppp2-{T}(V5,V6,V7)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #23: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V5,V7,V8) | pppp0-{T}(V5,V8)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #24: input, references = 3, size of lhs = 3:
% 0.77/0.97 pppp2-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #25: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V6,V5) | pppp1-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #26: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp1-{F}(V6,V5) | greater-{T}(V6,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #27: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp1-{F}(V5,V6) | EXISTS V7: pppp3-{T}(V5,V6,V7)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #28: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V6,V7,V8) | pppp1-{T}(V8,V6)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #29: input, references = 3, size of lhs = 3:
% 0.77/0.97 pppp3-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #30: input, references = 3, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), #-{F} V5, #-{F} V6, V5 == V6 | pppp6-{T}(V5,V6), pppp7-{T}(V5,V6)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #31: input, references = 3, size of lhs = 1:
% 0.77/0.97 pppp6-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #32: input, references = 3, size of lhs = 1:
% 0.77/0.97 pppp7-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #33: input, references = 3, size of lhs = 3:
% 0.77/0.97 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #34: input, references = 3, size of lhs = 3:
% 0.77/0.97 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #35: input, references = 5, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V8,V7,V8) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #36: input, references = 5, size of lhs = 7:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V10,V7,V8), P_vplus-{F}(V8,V9,V10) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #37: input, references = 3, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V8,V7,V8) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #38: input, references = 4, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V6,V5,V7), P_vplus-{F}(V5,V6,V8), V7 == V8 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #39: input, references = 5, size of lhs = 10:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vsucc-{F}(V5,V7), P_vplus-{F}(V7,V6,V8), P_vplus-{F}(V5,V6,V9), P_vsucc-{F}(V9,V10), V8 == V10 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #40: input, references = 6, size of lhs = 10:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V5,V6,V8), P_vplus-{F}(V8,V7,V9), P_vplus-{F}(V6,V7,V10), P_vplus-{F}(V5,V10,V11), V9 == V11 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #41: input, references = 5, size of lhs = 9:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), V7 == V8 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #42: input, references = 4, size of lhs = 13:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), P_vsucc-{F}(V9,V10), P_vplus-{F}(V6,V10,V11), P_vplus-{F}(V6,V9,V12), P_vsucc-{F}(V12,V13), V11 == V13 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #43: input, references = 18, size of lhs = 2:
% 0.77/0.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #44: input, references = 4, size of lhs = 0:
% 0.77/0.97 FALSE | EXISTS V0: P_vd301-{T}(V0)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #45: input, references = 4, size of lhs = 0:
% 0.77/0.97 FALSE | EXISTS V0: P_vd303-{T}(V0)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #46: input, references = 4, size of lhs = 0:
% 0.77/0.97 FALSE | EXISTS V0: P_vd302-{T}(V0)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #47: input, references = 3, size of lhs = 2:
% 0.77/0.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_vskolem7-{T}(V0,V1,V2)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #48: input, references = 8, size of lhs = 1:
% 0.77/0.97 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #49: input, references = 3, size of lhs = 0:
% 0.77/0.97 FALSE | EXISTS V0: P_v1-{T}(V0)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 number of initial rules = 50
% 0.77/0.97
% 0.77/0.97 Simplifiers:
% 0.77/0.97 #50: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #51: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_vd301-{F}(V0), P_vd301-{F}(V1), V0 == V1 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #52: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_vd303-{F}(V0), P_vd303-{F}(V1), V0 == V1 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #53: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_vd302-{F}(V0), P_vd302-{F}(V1), V0 == V1 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #54: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_vskolem7-{F}(V0,V1,V2), P_vskolem7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #55: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #56: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #57: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #58: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #59: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #60: unsound, references = 3, size of lhs = 3:
% 0.77/0.97 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 number of simplifiers = 11
% 0.77/0.97
% 0.77/0.97 Learnt:
% 0.77/0.97 #64: exists( #43, #35 ), references = 1, size of lhs = 4:
% 0.77/0.97 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V2,V3,V2) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #65: exists( #43, #36 ), references = 1, size of lhs = 5:
% 0.77/0.97 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V2,V3,V4), P_vplus-{F}(V4,V5,V2) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #67: exists( #43, #41 ), references = 1, size of lhs = 5:
% 0.77/0.97 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2) | P_vplus-{T}(V0,V1,V2)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #71: exists( #48, #69 ), references = 1, size of lhs = 4:
% 0.77/0.97 P_v1-{F}(V0), P_vd303-{F}(V0), P_vd301-{F}(V1), P_vd302-{F}(V1) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #74: exists( #43, #72 ), references = 1, size of lhs = 3:
% 0.77/0.97 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #78: exists( #43, #35 ), references = 1, size of lhs = 5:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V4) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #79: exists( #43, #36 ), references = 1, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V6,V7,V4) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #83: exists( #43, #75 ), references = 1, size of lhs = 4:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vplus-{F}(V3,V4,V3) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #84: exists( #43, #77 ), references = 1, size of lhs = 5:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V5,V6,V3) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #88: exists( #43, #41 ), references = 1, size of lhs = 8:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V5,V4,V6), P_vsucc-{F}(V5,V7), V6 == V7 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #89: exists( #43, #38 ), references = 2, size of lhs = 7:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V5,V4,V7), V6 == V7 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #90: exists( #43, #40 ), references = 8, size of lhs = 7:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V3), P_vplus-{F}(V5,V1,V6), P_vplus-{F}(V4,V6,V7) | P_vplus-{T}(V3,V1,V7)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #92: exists( #43, #85 ), references = 1, size of lhs = 7:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #94: exists( #43, #91 ), references = 9, size of lhs = 5:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5) | P_vplus-{T}(V4,V3,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #98: exists( #43, #89 ), references = 1, size of lhs = 6:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V3,V6), V5 == V6 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #100: exists( #43, #97 ), references = 10, size of lhs = 4:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vplus-{F}(V3,V4,V5) | P_vplus-{T}(V4,V3,V5)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #131: mergings( V2 == V6, V6 == V9, V9 == V10, V15 == V16, V10 == V11, V16 == V17, V11 == V12, V17 == V18, V12 == V13, V18 == V19, V3 == V7, V7 == V14, V4 == V8, V8 == V20; #116 ), references = 1, size of lhs = 8:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V1,V5,V4), P_vplus-{F}(V0,V6,V4), P_vplus-{F}(V6,V2,V7) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #139: mergings( V3 == V7, V7 == V0, V4 == V8, V8 == V1, V5 == V9, V9 == V10; #132 ), references = 1, size of lhs = 6:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vd302-{F}(V3), P_vplus-{F}(V0,V1,V3), P_vplus-{F}(V1,V4,V3) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #173: mergings( V2 == V6, V6 == V9, V9 == V10, V12 == V13, V3 == V7, V7 == V11, V4 == V8, V8 == V14; #162 ), references = 2, size of lhs = 10:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V0,V5,V4), P_vplus-{F}(V5,V2,V6), P_vplus-{F}(V0,V7,V8), P_vplus-{F}(V7,V9,V6), P_vplus-{F}(V8,V9,V10) | P_vsucc-{T}(V6,V10)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #182: mergings( V2 == V6, V6 == V9, V9 == V10, V12 == V13, V3 == V7, V7 == V11, V4 == V8, V8 == V14; #163 ), references = 1, size of lhs = 10:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V0,V5,V4), P_vplus-{F}(V5,V2,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V7,V9,V6), P_vplus-{F}(V8,V9,V10) | P_vsucc-{T}(V6,V10)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #193: mergings( V2 == V6, V6 == V9, V9 == V10, V12 == V13, V3 == V7, V7 == V11, V4 == V8, V8 == V14, V5 == V15, V18 == V19; #164 ), references = 1, size of lhs = 12:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V4,V5,V3), P_vplus-{F}(V5,V1,V6), P_vplus-{F}(V7,V4,V8), P_vsucc-{F}(V7,V8), P_vplus-{F}(V7,V9,V6), P_vsucc-{F}(V9,V10), P_vplus-{F}(V7,V10,V11) | P_vsucc-{T}(V6,V11)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #235: mergings( V13 == V25, V4 == V10, V10 == V14, V14 == V17, V17 == V18, V24 == V25, V18 == V19, V25 == V26, V19 == V20, V26 == V27, V20 == V21, V27 == V28, V21 == V22, V28 == V29, V5 == V11, V11 == V15, V15 == V23, V6 == V29, V7 == V12, V12 == V16, V16 == V30, V3 == V29; #212 ), references = 1, size of lhs = 11:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V0), P_vd302-{F}(V3), P_vplus-{F}(V0,V4,V3), P_vplus-{F}(V4,V2,V5), P_vplus-{F}(V0,V6,V3), P_vplus-{F}(V6,V2,V5), P_vplus-{F}(V0,V7,V8), P_vplus-{F}(V7,V9,V5) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #268: mergings( V20 == V32, V2 == V6, V6 == V10, V10 == V17, V17 == V21, V21 == V24, V24 == V25, V31 == V32, V25 == V26, V32 == V33, V26 == V27, V33 == V34, V27 == V28, V34 == V35, V28 == V29, V35 == V36, V3 == V7, V7 == V11, V11 == V18, V18 == V22, V22 == V30, V12 == V36, V4 == V8, V8 == V13, V13 == V19, V19 == V23, V23 == V37, V5 == V9, V9 == V36; #238 ), references = 1, size of lhs = 11:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V0), P_vd302-{F}(V3), P_vplus-{F}(V0,V4,V3), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V6,V5), P_vplus-{F}(V0,V7,V3), P_vplus-{F}(V7,V2,V5), P_vplus-{F}(V0,V0,V8) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #303: mergings( V2 == V6, V6 == V9, V9 == V10, V12 == V13, V3 == V7, V7 == V11, V4 == V8, V8 == V14; #292 ), references = 1, size of lhs = 12:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V0,V5,V4), P_vplus-{F}(V5,V2,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V8,V9,V10), P_vplus-{F}(V7,V9,V11), P_vsucc-{F}(V11,V12), V10 == V12 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #312: mergings( V2 == V6, V6 == V9, V9 == V10, V12 == V13, V3 == V7, V7 == V11, V4 == V8, V8 == V14; #293 ), references = 1, size of lhs = 12:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V0,V5,V4), P_vplus-{F}(V5,V2,V6), P_vplus-{F}(V7,V8,V9), P_vplus-{F}(V9,V10,V11), P_vplus-{F}(V8,V10,V12), P_vplus-{F}(V7,V12,V13), V11 == V13 | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #323: mergings( V3 == V7, V7 == V10, V10 == V11, V13 == V14, V4 == V8, V8 == V12, V5 == V9, V9 == V15; #313 ), references = 1, size of lhs = 10:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V0,V5,V4), P_vplus-{F}(V5,V2,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V7,V9,V10), P_vsucc-{F}(V10,V11) | P_vplus-{T}(V8,V9,V11)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #332: mergings( V3 == V7, V7 == V10, V10 == V11, V13 == V14, V4 == V8, V8 == V12, V5 == V9, V9 == V15; #314 ), references = 1, size of lhs = 10:
% 0.77/0.97 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V0,V5,V4), P_vplus-{F}(V5,V2,V6), P_vplus-{F}(V7,V8,V9), P_vplus-{F}(V8,V10,V11), P_vplus-{F}(V7,V11,V12) | P_vplus-{T}(V9,V10,V12)
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #371: mergings( V11 == V15, V3 == V6, V6 == V7, V12 == V15, V7 == V8, V13 == V15, V8 == V9, V14 == V15, V9 == V10, V4 == V0, V5 == V1; #359 ), references = 1, size of lhs = 4:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #376: mergings( V3 == V0, V4 == V1, V5 == V6; #372 ), references = 1, size of lhs = 3:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #380: mergings( V1 == V3, V2 == V4; #377 ), references = 1, size of lhs = 2:
% 0.77/0.97 P_vd301-{F}(V0), P_vd303-{F}(V1) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #383: mergings( V1 == V2; #381 ), references = 1, size of lhs = 1:
% 0.77/0.97 P_vd301-{F}(V0) | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 #385: exists( #44, #381 ), references = 1, size of lhs = 0:
% 0.77/0.97 FALSE | FALSE
% 0.77/0.97 (used 0 times, uses = {})
% 0.77/0.97
% 0.77/0.97 number of learnt formulas = 32
% 0.77/0.97
% 0.77/0.97
% 0.77/0.97 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.97
% 0.77/0.97 randbase = 1
%------------------------------------------------------------------------------