%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG210+2 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 05:57:22 EDT 2022
% Result : Theorem 6.69s 6.88s
% Output : Refutation 6.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG210+2 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 11:01:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.69/6.88 GeoParameters:
% 6.69/6.88
% 6.69/6.88 tptp_input = 1
% 6.69/6.88 tptp_output = 0
% 6.69/6.88 nonempty = 1
% 6.69/6.88 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.88 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.69/6.88
% 6.69/6.88
% 6.69/6.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.88
% 6.69/6.88 RuleSystem INPUT:
% 6.69/6.88
% 6.69/6.88 Initial Rules:
% 6.69/6.88 #0: input, references = 16, size of lhs = 5:
% 6.69/6.88 P_times-{F}(V0,V1,V3), P_times-{F}(V3,V2,V4), P_times-{F}(V2,V0,V5), P_times-{F}(V1,V5,V6), V4 == V6 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #1: input, references = 13, size of lhs = 1:
% 6.69/6.88 element-{F}(V0) | pppp0-{T}(V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #2: input, references = 5, size of lhs = 1:
% 6.69/6.88 pppp0-{F}(V0) | element-{T}(V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #3: input, references = 5, size of lhs = 2:
% 6.69/6.88 P_times-{F}(V0,V0,V1), pppp0-{F}(V0) | EXISTS V2: pppp1-{T}(V0,V2,V1)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #4: input, references = 12, size of lhs = 2:
% 6.69/6.88 P_times-{F}(V0,V0,V2), P_times-{F}(V0,V2,V0) | pppp0-{T}(V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #5: input, references = 4, size of lhs = 3:
% 6.69/6.88 pppp1-{F}(V0,V1,V2), P_times-{F}(V0,V1,V3), V2 == V1 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #6: input, references = 6, size of lhs = 3:
% 6.69/6.88 pppp1-{F}(V0,V1,V2), P_times-{F}(V0,V1,V3), V3 == V0 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #7: input, references = 4, size of lhs = 0:
% 6.69/6.88 FALSE | EXISTS V0: pppp4-{T}(V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #8: input, references = 4, size of lhs = 1:
% 6.69/6.88 pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #9: input, references = 5, size of lhs = 2:
% 6.69/6.88 pppp4-{F}(V0), element-{F}(V0) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #10: input, references = 9, size of lhs = 1:
% 6.69/6.88 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #11: input, references = 4, size of lhs = 1:
% 6.69/6.88 pppp3-{F}(V0,V1) | element-{T}(V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #12: input, references = 5, size of lhs = 3:
% 6.69/6.88 pppp2-{F}(V0,V1,V2), P_times-{F}(V0,V1,V3), V2 == V3 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #13: input, references = 12, size of lhs = 2:
% 6.69/6.88 pppp2-{F}(V0,V1,V2), P_times-{F}(V0,V1,V3) | element-{T}(V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #14: input, references = 46, size of lhs = 2:
% 6.69/6.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_times-{T}(V0,V1,V2)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 number of initial rules = 15
% 6.69/6.88
% 6.69/6.88 Simplifiers:
% 6.69/6.88 #15: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #16: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #17: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V2 == V5 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #18: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #19: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V2), V1 == V4 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #20: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #21: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #22: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #23: unsound, references = 3, size of lhs = 3:
% 6.69/6.88 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 number of simplifiers = 9
% 6.69/6.88
% 6.69/6.88 Learnt:
% 6.69/6.88 #26: exists( #14, #0 ), references = 73, size of lhs = 3:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V3,V0,V4), P_times-{F}(V1,V4,V5) | P_times-{T}(V2,V3,V5)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #28: exists( #14, #0 ), references = 56, size of lhs = 3:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V2,V3,V4), P_times-{F}(V3,V0,V5) | P_times-{T}(V1,V5,V4)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #34: exists( #14, #32 ), references = 10, size of lhs = 3:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V3,V0,V4), pppp2-{F}(V1,V4,V5) | P_times-{T}(V2,V3,V5)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #45: mergings( V5 == V3, V4 == V6; #42 ), references = 1, size of lhs = 6:
% 6.69/6.88 P_times-{F}(V0,V1,V2), pppp2-{F}(V3,V2,V0), P_times-{F}(V4,V1,V2), V4 == V0, P_times-{F}(V0,V5,V4), P_times-{F}(V5,V0,V4) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #47: exists( #10, #42 ), references = 1, size of lhs = 6:
% 6.69/6.88 pppp3-{F}(V0,V1), P_times-{F}(V1,V2,V0), P_times-{F}(V3,V2,V0), V3 == V1, P_times-{F}(V1,V4,V3), P_times-{F}(V4,V1,V3) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #69: exists( #14, #5 ), references = 1, size of lhs = 2:
% 6.69/6.88 pppp1-{F}(V0,V1,V2), V2 == V1 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #72: exists( #3, #70 ), references = 12, size of lhs = 4:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V0,V1), pppp0-{F}(V2), P_times-{F}(V2,V2,V3) | pppp1-{T}(V0,V1,V1)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #89: mergings( V10 == V14, V12 == V15; #86 ), references = 1, size of lhs = 14:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V3,V2,V4), P_times-{F}(V2,V3,V5), P_times-{F}(V5,V0,V6), P_times-{F}(V7,V4,V6), P_times-{F}(V8,V1,V9), P_times-{F}(V9,V10,V6), P_times-{F}(V9,V7,V11), pppp2-{F}(V6,V9,V12), V12 == V6, P_times-{F}(V10,V12,V9), P_times-{F}(V13,V12,V5), P_times-{F}(V14,V2,V11), P_times-{F}(V13,V14,V5) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #119: mergings( V0 == V9, V10 == V11; #116 ), references = 1, size of lhs = 15:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V1,V0), P_times-{F}(V0,V4,V2), P_times-{F}(V4,V5,V0), P_times-{F}(V6,V5,V0), pppp2-{F}(V2,V0,V7), P_times-{F}(V0,V8,V2), P_times-{F}(V3,V8,V9), P_times-{F}(V3,V10,V2), P_times-{F}(V6,V11,V10), P_times-{F}(V11,V7,V12), P_times-{F}(V13,V9,V12), P_times-{F}(V7,V13,V14), V14 == V2 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #128: mergings( V3 == V1; #126 ), references = 10, size of lhs = 1:
% 6.69/6.88 pppp1-{F}(V0,V1,V1) | P_times-{T}(V0,V1,V0)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #133: exists( #14, #131 ), references = 3, size of lhs = 8:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V1,V2), P_times-{F}(V0,V3,V4), P_times-{F}(V3,V0,V5), P_times-{F}(V5,V0,V6), pppp2-{F}(V0,V6,V7), V4 == V7 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #156: mergings( V5 == V7, V6 == V13, V13 == V14, V7 == V12; #151 ), references = 1, size of lhs = 11:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V0,V1), P_times-{F}(V2,V3,V4), P_times-{F}(V2,V5,V4), P_times-{F}(V5,V2,V4), P_times-{F}(V6,V4,V2), P_times-{F}(V2,V6,V7), V7 == V2, P_times-{F}(V4,V8,V7), P_times-{F}(V8,V2,V4), pppp2-{F}(V9,V4,V2) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #206: mergings( V4 == V6; #204 ), references = 5, size of lhs = 4:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V2,V3,V1), pppp2-{F}(V4,V2,V5), P_times-{F}(V3,V5,V6) | P_times-{T}(V1,V4,V6)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #228: mergings( V5 == V7, V7 == V9, V0 == V8, V9 == V10, V10 == V12; #222 ), references = 1, size of lhs = 14:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V0,V3,V2), P_times-{F}(V4,V1,V0), P_times-{F}(V0,V4,V5), P_times-{F}(V6,V1,V0), P_times-{F}(V3,V6,V0), P_times-{F}(V0,V6,V5), pppp2-{F}(V7,V0,V6), P_times-{F}(V8,V6,V2), P_times-{F}(V0,V8,V9), P_times-{F}(V10,V0,V9), P_times-{F}(V6,V10,V11), V11 == V6 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #236: mergings( V7 == V9, V9 == V10, V10 == V12, V1 == V11, V12 == V13; #230 ), references = 1, size of lhs = 11:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V2,V0), P_times-{F}(V3,V1,V0), P_times-{F}(V3,V4,V0), P_times-{F}(V0,V4,V5), P_times-{F}(V3,V3,V5), P_times-{F}(V0,V6,V5), P_times-{F}(V6,V3,V0), pppp2-{F}(V7,V0,V3), P_times-{F}(V3,V2,V8), V8 == V3 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #238: exists( #10, #230 ), references = 1, size of lhs = 11:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), P_times-{F}(V1,V2,V0), P_times-{F}(V2,V3,V0), P_times-{F}(V1,V4,V0), P_times-{F}(V0,V4,V5), P_times-{F}(V1,V1,V5), P_times-{F}(V0,V6,V5), P_times-{F}(V6,V1,V0), P_times-{F}(V1,V3,V7), V7 == V1 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #241: exists( #14, #239 ), references = 1, size of lhs = 8:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), P_times-{F}(V1,V2,V0), P_times-{F}(V2,V1,V0), P_times-{F}(V1,V3,V0), P_times-{F}(V3,V1,V0), P_times-{F}(V4,V1,V0), P_times-{F}(V3,V4,V1) | P_times-{T}(V1,V1,V1)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #254: exists( #14, #12 ), references = 6, size of lhs = 1:
% 6.69/6.88 pppp2-{F}(V0,V1,V2) | P_times-{T}(V0,V1,V2)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #267: exists( #14, #265 ), references = 4, size of lhs = 8:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V2,V0,V3), P_times-{F}(V3,V4,V5), P_times-{F}(V4,V1,V6), P_times-{F}(V7,V0,V6), P_times-{F}(V0,V7,V8), V8 == V5 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #284: exists( #14, #282 ), references = 1, size of lhs = 6:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V0), P_times-{F}(V1,V2,V3), P_times-{F}(V3,V0,V4), P_times-{F}(V2,V0,V5), V4 == V5 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #286: exists( #14, #283 ), references = 3, size of lhs = 4:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V0), P_times-{F}(V1,V2,V3), P_times-{F}(V2,V0,V4) | P_times-{T}(V3,V0,V4)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #294: exists( #14, #292 ), references = 4, size of lhs = 7:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V2,V3,V4), P_times-{F}(V4,V5,V6), P_times-{F}(V5,V1,V7), P_times-{F}(V7,V3,V8), P_times-{F}(V0,V8,V9), V6 == V9 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #309: mergings( V3 == V6; #307 ), references = 5, size of lhs = 5:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V2,V0,V3), P_times-{F}(V3,V0,V4), V4 == V2 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #312: mergings( V4 == V5; #310 ), references = 9, size of lhs = 3:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V2,V0,V3) | P_times-{T}(V3,V0,V2)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #351: exists( #14, #349 ), references = 3, size of lhs = 7:
% 6.69/6.88 P_times-{F}(V0,V1,V1), P_times-{F}(V0,V2,V3), P_times-{F}(V3,V1,V4), P_times-{F}(V3,V5,V0), P_times-{F}(V4,V6,V7), P_times-{F}(V2,V6,V7), P_times-{F}(V8,V6,V5) | P_times-{T}(V6,V3,V7)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #379: mergings( V9 == V10; #376 ), references = 1, size of lhs = 21:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V2,V0,V3), P_times-{F}(V4,V1,V5), P_times-{F}(V6,V3,V5), P_times-{F}(V0,V6,V7), P_times-{F}(V1,V7,V8), P_times-{F}(V0,V9,V7), P_times-{F}(V8,V3,V10), P_times-{F}(V11,V0,V7), P_times-{F}(V12,V11,V10), P_times-{F}(V12,V8,V13), V13 == V5, P_times-{F}(V9,V14,V3), P_times-{F}(V12,V15,V14), P_times-{F}(V16,V15,V15), P_times-{F}(V16,V14,V12), P_times-{F}(V12,V17,V16), P_times-{F}(V18,V5,V17), P_times-{F}(V18,V3,V19), P_times-{F}(V0,V19,V20) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #380: exists( #14, #375 ), references = 3, size of lhs = 29:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V2,V0,V3), P_times-{F}(V3,V3,V4), P_times-{F}(V5,V1,V6), P_times-{F}(V1,V5,V7), P_times-{F}(V0,V8,V9), P_times-{F}(V1,V9,V10), P_times-{F}(V8,V3,V11), P_times-{F}(V0,V12,V9), P_times-{F}(V12,V13,V3), P_times-{F}(V11,V13,V14), P_times-{F}(V0,V14,V15), P_times-{F}(V15,V16,V9), P_times-{F}(V16,V4,V17), P_times-{F}(V17,V13,V18), P_times-{F}(V19,V18,V6), P_times-{F}(V20,V11,V21), P_times-{F}(V20,V3,V22), P_times-{F}(V0,V22,V23), P_times-{F}(V24,V25,V25), P_times-{F}(V24,V13,V26), P_times-{F}(V26,V25,V13), P_times-{F}(V26,V21,V24), P_times-{F}(V26,V10,V27), P_times-{F}(V27,V0,V28), P_times-{F}(V28,V1,V29), P_times-{F}(V29,V19,V30), V7 == V30 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #392: exists( #14, #388 ), references = 1, size of lhs = 24:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V4), P_times-{F}(V5,V0,V6), P_times-{F}(V7,V6,V8), P_times-{F}(V8,V4,V9), P_times-{F}(V9,V10,V10), P_times-{F}(V8,V10,V11), P_times-{F}(V9,V11,V8), P_times-{F}(V8,V2,V12), P_times-{F}(V8,V6,V12), P_times-{F}(V8,V13,V11), P_times-{F}(V12,V13,V14), P_times-{F}(V14,V6,V15), P_times-{F}(V7,V12,V16), P_times-{F}(V17,V11,V15), P_times-{F}(V17,V14,V18), V18 == V12, P_times-{F}(V17,V16,V19), P_times-{F}(V19,V20,V20), P_times-{F}(V17,V20,V21), P_times-{F}(V8,V21,V6), P_times-{F}(V19,V21,V17) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #393: exists( #14, #389 ), references = 1, size of lhs = 29:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V4), P_times-{F}(V5,V0,V6), P_times-{F}(V6,V6,V7), P_times-{F}(V8,V6,V9), P_times-{F}(V9,V4,V10), P_times-{F}(V10,V11,V11), P_times-{F}(V9,V11,V12), P_times-{F}(V10,V12,V9), P_times-{F}(V9,V2,V13), P_times-{F}(V9,V14,V12), P_times-{F}(V13,V14,V15), P_times-{F}(V9,V6,V16), P_times-{F}(V8,V16,V17), P_times-{F}(V18,V12,V9), P_times-{F}(V18,V7,V19), P_times-{F}(V20,V15,V12), P_times-{F}(V20,V17,V21), P_times-{F}(V21,V22,V22), P_times-{F}(V20,V22,V23), P_times-{F}(V9,V23,V6), P_times-{F}(V16,V23,V9), P_times-{F}(V21,V23,V20), P_times-{F}(V19,V23,V24), P_times-{F}(V25,V24,V13), P_times-{F}(V13,V25,V26), V15 == V26 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #403: mergings( V5 == V8; #400 ), references = 1, size of lhs = 19:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), P_times-{F}(V2,V1,V3), P_times-{F}(V3,V1,V4), P_times-{F}(V4,V5,V5), P_times-{F}(V3,V5,V6), P_times-{F}(V4,V6,V3), P_times-{F}(V3,V7,V6), P_times-{F}(V4,V7,V8), P_times-{F}(V8,V1,V9), P_times-{F}(V2,V4,V10), P_times-{F}(V11,V6,V9), P_times-{F}(V11,V8,V12), V12 == V4, P_times-{F}(V11,V10,V13), P_times-{F}(V13,V14,V14), P_times-{F}(V11,V14,V15), P_times-{F}(V3,V15,V1), P_times-{F}(V13,V15,V11) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #406: mergings( V6 == V9, V9 == V12; #401 ), references = 1, size of lhs = 24:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), P_times-{F}(V1,V1,V2), P_times-{F}(V3,V1,V4), P_times-{F}(V4,V1,V5), P_times-{F}(V5,V6,V6), P_times-{F}(V4,V6,V7), P_times-{F}(V5,V7,V4), P_times-{F}(V4,V8,V7), P_times-{F}(V5,V8,V9), P_times-{F}(V3,V5,V10), P_times-{F}(V11,V7,V4), P_times-{F}(V11,V2,V12), P_times-{F}(V13,V9,V7), P_times-{F}(V13,V10,V14), P_times-{F}(V14,V15,V15), P_times-{F}(V13,V15,V16), P_times-{F}(V4,V16,V1), P_times-{F}(V5,V16,V4), P_times-{F}(V14,V16,V13), P_times-{F}(V12,V16,V17), P_times-{F}(V18,V17,V5), P_times-{F}(V5,V18,V19), V9 == V19 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #429: exists( #14, #427 ), references = 3, size of lhs = 5:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V0,V2,V3), P_times-{F}(V0,V3,V4), V2 == V4 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #439: exists( #14, #434 ), references = 2, size of lhs = 6:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V3,V2,V4), P_times-{F}(V4,V0,V5), P_times-{F}(V5,V0,V6), V6 == V4 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #440: exists( #14, #435 ), references = 1, size of lhs = 6:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V3,V2,V4), P_times-{F}(V0,V4,V5), P_times-{F}(V0,V5,V6), V4 == V6 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #482: exists( #14, #476 ), references = 3, size of lhs = 6:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V0), P_times-{F}(V2,V0,V0), P_times-{F}(V3,V1,V2), P_times-{F}(V4,V0,V5), P_times-{F}(V4,V3,V5) | P_times-{T}(V2,V4,V5)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #483: exists( #14, #477 ), references = 1, size of lhs = 7:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V0,V1,V1), P_times-{F}(V2,V0,V0), P_times-{F}(V3,V1,V2), P_times-{F}(V4,V0,V5), P_times-{F}(V4,V3,V5) | P_times-{T}(V2,V4,V5)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #500: exists( #14, #496 ), references = 2, size of lhs = 5:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V0,V3,V4), P_times-{F}(V4,V2,V5), P_times-{F}(V5,V0,V6) | P_times-{T}(V1,V4,V6)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #501: exists( #14, #497 ), references = 1, size of lhs = 7:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V3,V2,V4), P_times-{F}(V4,V0,V5), pppp2-{F}(V0,V6,V3), P_times-{F}(V6,V1,V7), P_times-{F}(V8,V7,V6) | P_times-{T}(V1,V3,V5)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #527: mergings( V3 == V5, V7 == V6; #523 ), references = 5, size of lhs = 9:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V0,V0), pppp0-{F}(V1), P_times-{F}(V0,V2,V0), P_times-{F}(V1,V0,V3), P_times-{F}(V3,V1,V0), P_times-{F}(V0,V1,V3), P_times-{F}(V4,V3,V5), P_times-{F}(V4,V1,V5) | P_times-{T}(V1,V4,V5)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #529: mergings( V3 == V6; #524 ), references = 1, size of lhs = 30:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V0,V0,V0), pppp0-{F}(V1), pppp0-{F}(V2), P_times-{F}(V0,V3,V0), P_times-{F}(V0,V2,V4), P_times-{F}(V5,V2,V0), P_times-{F}(V6,V1,V5), P_times-{F}(V7,V4,V8), P_times-{F}(V7,V2,V8), P_times-{F}(V9,V1,V10), P_times-{F}(V10,V10,V11), P_times-{F}(V1,V12,V13), P_times-{F}(V2,V13,V14), P_times-{F}(V12,V10,V15), P_times-{F}(V1,V16,V13), P_times-{F}(V16,V17,V10), P_times-{F}(V15,V17,V18), P_times-{F}(V1,V18,V19), P_times-{F}(V19,V20,V13), P_times-{F}(V20,V11,V21), P_times-{F}(V21,V17,V0), P_times-{F}(V22,V14,V6), P_times-{F}(V23,V17,V22), P_times-{F}(V23,V24,V24), P_times-{F}(V22,V24,V17), P_times-{F}(V22,V25,V23), P_times-{F}(V26,V15,V25), P_times-{F}(V26,V10,V27), P_times-{F}(V1,V27,V28) | P_times-{T}(V2,V7,V8)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #537: exists( #14, #535 ), references = 2, size of lhs = 8:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V1,V4), P_times-{F}(V4,V5,V6), P_times-{F}(V6,V0,V7), P_times-{F}(V2,V5,V8), P_times-{F}(V3,V8,V9), V7 == V9 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #575: mergings( V3 == V4, V4 == V5; #571 ), references = 1, size of lhs = 7:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V1), P_times-{F}(V3,V2,V4), P_times-{F}(V4,V2,V5), V2 == V5 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #589: mergings( V3 == V4, V4 == V5; #586 ), references = 2, size of lhs = 11:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V0,V2), P_times-{F}(V2,V0,V3), P_times-{F}(V0,V3,V4), P_times-{F}(V4,V0,V5), P_times-{F}(V5,V1,V6), P_times-{F}(V7,V0,V2), P_times-{F}(V0,V8,V7), P_times-{F}(V6,V8,V9), V2 == V9 | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #597: exists( #14, #294 ), references = 3, size of lhs = 5:
% 6.69/6.88 P_times-{F}(V0,V1,V2), P_times-{F}(V2,V3,V4), P_times-{F}(V4,V5,V6), P_times-{F}(V5,V1,V7), P_times-{F}(V7,V3,V8) | P_times-{T}(V0,V8,V6)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #609: mergings( V4 == V6, V8 == V5, V6 == V7, V7 == V9, V5 == V13; #603 ), references = 1, size of lhs = 10:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V0,V2), P_times-{F}(V2,V0,V3), P_times-{F}(V3,V0,V2), P_times-{F}(V2,V2,V4), P_times-{F}(V4,V2,V5), V2 == V5, P_times-{F}(V6,V0,V3), P_times-{F}(V7,V7,V6) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #613: mergings( V0 == V5; #611 ), references = 1, size of lhs = 8:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V2), P_times-{F}(V2,V2,V4), P_times-{F}(V4,V2,V5), V2 == V5, P_times-{F}(V6,V6,V2) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #618: exists( #10, #616 ), references = 1, size of lhs = 6:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), P_times-{F}(V1,V1,V2), P_times-{F}(V2,V1,V3), V1 == V3, P_times-{F}(V4,V4,V1) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #659: exists( #14, #657 ), references = 1, size of lhs = 16:
% 6.69/6.88 pppp0-{F}(V0), pppp4-{F}(V1), P_times-{F}(V1,V1,V2), pppp2-{F}(V0,V3,V1), P_times-{F}(V0,V4,V5), P_times-{F}(V0,V6,V5), P_times-{F}(V7,V8,V5), P_times-{F}(V9,V1,V10), P_times-{F}(V11,V9,V2), P_times-{F}(V12,V8,V11), P_times-{F}(V13,V7,V10), P_times-{F}(V12,V13,V3), P_times-{F}(V14,V5,V15), P_times-{F}(V16,V14,V13), P_times-{F}(V0,V15,V17), P_times-{F}(V16,V17,V13) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #664: exists( #10, #662 ), references = 1, size of lhs = 12:
% 6.69/6.88 pppp4-{F}(V0), P_times-{F}(V0,V0,V1), pppp3-{F}(V2,V0), P_times-{F}(V3,V0,V2), P_times-{F}(V4,V0,V5), P_times-{F}(V6,V4,V1), P_times-{F}(V7,V8,V6), P_times-{F}(V9,V8,V0), P_times-{F}(V10,V9,V5), P_times-{F}(V7,V10,V2), P_times-{F}(V11,V0,V10), P_times-{F}(V11,V3,V10) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #698: mergings( V5 == V6; #696 ), references = 1, size of lhs = 4:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V2), P_times-{F}(V4,V2,V3) | P_times-{T}(V2,V0,V3)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #736: mergings( V4 == V5; #733 ), references = 3, size of lhs = 3:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V0,V2,V3) | P_times-{T}(V2,V0,V3)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #762: exists( #14, #755 ), references = 4, size of lhs = 4:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V2), P_times-{F}(V4,V0,V3) | P_times-{T}(V0,V2,V3)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #764: mergings( V1 == V5; #760 ), references = 1, size of lhs = 4:
% 6.69/6.88 pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V2,V3,V2), P_times-{F}(V2,V0,V4) | P_times-{T}(V0,V2,V4)
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #787: mergings( V3 == V7; #785 ), references = 2, size of lhs = 14:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), pppp4-{F}(V2), P_times-{F}(V1,V0,V2), P_times-{F}(V0,V2,V2), P_times-{F}(V2,V1,V3), P_times-{F}(V4,V1,V3), P_times-{F}(V2,V2,V5), P_times-{F}(V0,V6,V7), P_times-{F}(V7,V0,V8), P_times-{F}(V8,V9,V10), P_times-{F}(V9,V6,V11), P_times-{F}(V11,V12,V5), P_times-{F}(V12,V10,V3) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #864: mergings( V6 == V10, V15 == V21; #861 ), references = 1, size of lhs = 27:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), pppp4-{F}(V2), pppp2-{F}(V1,V0,V2), P_times-{F}(V2,V2,V3), P_times-{F}(V1,V0,V4), P_times-{F}(V0,V4,V5), P_times-{F}(V5,V1,V6), P_times-{F}(V7,V1,V6), P_times-{F}(V2,V8,V6), P_times-{F}(V5,V0,V9), P_times-{F}(V8,V9,V3), P_times-{F}(V2,V10,V3), P_times-{F}(V10,V10,V6), P_times-{F}(V11,V10,V3), P_times-{F}(V1,V12,V10), P_times-{F}(V12,V5,V10), P_times-{F}(V13,V0,V14), P_times-{F}(V0,V14,V15), P_times-{F}(V0,V15,V14), P_times-{F}(V13,V16,V10), P_times-{F}(V16,V15,V2), P_times-{F}(V17,V15,V2), P_times-{F}(V18,V13,V6), P_times-{F}(V14,V0,V19), P_times-{F}(V19,V17,V2), P_times-{F}(V19,V18,V6) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #873: mergings( V0 == V6, V7 == V9; #870 ), references = 1, size of lhs = 11:
% 6.69/6.88 pppp0-{F}(V0), pppp0-{F}(V1), pppp4-{F}(V2), pppp2-{F}(V1,V0,V2), P_times-{F}(V1,V0,V2), P_times-{F}(V3,V0,V2), P_times-{F}(V4,V0,V2), P_times-{F}(V2,V2,V5), P_times-{F}(V2,V6,V5), P_times-{F}(V6,V2,V5), P_times-{F}(V7,V2,V5) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #879: mergings( V3 == V5; #877 ), references = 1, size of lhs = 7:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), pppp4-{F}(V1), P_times-{F}(V1,V1,V2), P_times-{F}(V1,V3,V2), P_times-{F}(V3,V1,V2), P_times-{F}(V4,V1,V2) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #881: exists( #14, #877 ), references = 1, size of lhs = 3:
% 6.69/6.88 pppp0-{F}(V0), pppp3-{F}(V0,V1), pppp4-{F}(V1) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #885: exists( #8, #883 ), references = 1, size of lhs = 1:
% 6.69/6.88 pppp4-{F}(V0) | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 #887: exists( #7, #884 ), references = 1, size of lhs = 0:
% 6.69/6.88 FALSE | FALSE
% 6.69/6.88 (used 0 times, uses = {})
% 6.69/6.88
% 6.69/6.88 number of learnt formulas = 60
% 6.69/6.88
% 6.69/6.88
% 6.69/6.88 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.88
% 6.69/6.88 randbase = 1
%------------------------------------------------------------------------------