TSTP Solution File: ALG029+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 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 05:57:08 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n017.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 10:31:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42 GeoParameters:
% 0.19/0.42
% 0.19/0.42 tptp_input = 1
% 0.19/0.42 tptp_output = 0
% 0.19/0.42 nonempty = 1
% 0.19/0.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 RuleSystem INPUT:
% 0.19/0.42
% 0.19/0.42 Initial Rules:
% 0.19/0.42 #0: input, references = 3, size of lhs = 3:
% 0.19/0.42 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), sorti1-{F}(V1) | sorti1-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #1: input, references = 5, size of lhs = 3:
% 0.19/0.42 sorti2-{F}(V0), P_op2-{F}(V0,V1,V2), sorti2-{F}(V1) | sorti2-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #2: input, references = 4, size of lhs = 5:
% 0.19/0.42 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), P_op1-{F}(V1,V0,V3), sorti1-{F}(V1), V2 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #3: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #4: input, references = 4, size of lhs = 1:
% 0.19/0.42 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #5: input, references = 4, size of lhs = 1:
% 0.19/0.42 pppp1-{F}(V0) | sorti2-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #6: input, references = 4, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V3), P_op2-{F}(V1,V0,V3) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #7: input, references = 9, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V0,V3) | sorti2-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #8: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | pppp2-{T}()
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #9: input, references = 3, size of lhs = 5:
% 0.19/0.42 pppp2-{F}(), P_h-{F}(V0,V1), P_j-{F}(V1,V2), sorti1-{F}(V0), V2 == V0 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #10: input, references = 6, size of lhs = 5:
% 0.19/0.42 pppp2-{F}(), P_j-{F}(V0,V1), P_h-{F}(V1,V2), sorti2-{F}(V0), V2 == V0 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #11: input, references = 5, size of lhs = 9:
% 0.19/0.42 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0), P_op2-{F}(V0,V2,V3), P_j-{F}(V3,V4), P_j-{F}(V2,V5), P_op1-{F}(V1,V5,V6), sorti2-{F}(V2), V4 == V6 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #12: input, references = 6, size of lhs = 9:
% 0.19/0.42 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5), P_op2-{F}(V1,V5,V6), sorti1-{F}(V2), V4 == V6 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #13: input, references = 6, size of lhs = 3:
% 0.19/0.42 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0) | sorti1-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #14: input, references = 3, size of lhs = 3:
% 0.19/0.42 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0) | sorti2-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #15: input, references = 6, size of lhs = 2:
% 0.19/0.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #16: input, references = 11, size of lhs = 2:
% 0.19/0.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #17: input, references = 6, size of lhs = 1:
% 0.19/0.42 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #18: input, references = 5, size of lhs = 1:
% 0.19/0.42 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of initial rules = 19
% 0.19/0.42
% 0.19/0.42 Simplifiers:
% 0.19/0.42 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of simplifiers = 7
% 0.19/0.43
% 0.19/0.43 Learnt:
% 0.19/0.43 #27: exists( #17, #10 ), references = 2, size of lhs = 3:
% 0.19/0.43 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1) | P_h-{T}(V1,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #30: exists( #16, #28 ), references = 1, size of lhs = 6:
% 0.19/0.43 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V1,V0,V2), P_j-{F}(V1,V3), P_h-{F}(V3,V4), V4 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #32: exists( #16, #29 ), references = 2, size of lhs = 5:
% 0.19/0.43 pppp2-{F}(), pppp0-{F}(V0,V1), P_j-{F}(V1,V2), P_h-{F}(V2,V3), V3 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #34: exists( #16, #12 ), references = 1, size of lhs = 7:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti1-{F}(V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5) | P_op2-{T}(V1,V5,V4)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #38: mergings( V4 == V7; #36 ), references = 1, size of lhs = 8:
% 0.19/0.43 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V1,V3), P_j-{F}(V3,V4), P_j-{F}(V1,V5), P_op1-{F}(V5,V5,V6), V4 == V6 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #41: mergings( V0 == V1; #39 ), references = 1, size of lhs = 6:
% 0.19/0.43 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V1,V3), P_j-{F}(V3,V4), P_j-{F}(V1,V5) | P_op1-{T}(V5,V5,V4)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #51: exists( #16, #45 ), references = 1, size of lhs = 8:
% 0.19/0.43 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_op2-{F}(V0,V2,V4), P_j-{F}(V4,V5), P_h-{F}(V5,V6), V6 == V4 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #52: exists( #16, #46 ), references = 1, size of lhs = 12:
% 0.19/0.43 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op2-{F}(V3,V4,V5), P_op2-{F}(V0,V4,V6), P_j-{F}(V6,V7), P_op2-{F}(V6,V1,V8), P_j-{F}(V8,V9), P_op1-{F}(V7,V2,V10), V9 == V10 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #54: mergings( V9 == V0; #50 ), references = 2, size of lhs = 11:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_h-{F}(V5,V3), P_op1-{F}(V0,V5,V6), P_h-{F}(V6,V7), P_op2-{F}(V1,V3,V8), V7 == V8 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #56: exists( #16, #50 ), references = 1, size of lhs = 8:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V1,V2), P_j-{F}(V2,V3), P_h-{F}(V3,V2), P_op1-{F}(V0,V3,V4), P_h-{F}(V4,V5) | P_op2-{T}(V1,V2,V5)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #64: exists( #15, #2 ), references = 1, size of lhs = 3:
% 0.19/0.43 sorti1-{F}(V0), sorti1-{F}(V1), P_op1-{F}(V0,V1,V2) | P_op1-{T}(V1,V0,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #69: exists( #16, #67 ), references = 2, size of lhs = 9:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_j-{F}(V2,V4), P_h-{F}(V4,V2), P_op1-{F}(V0,V4,V5), P_h-{F}(V5,V6) | P_op2-{T}(V2,V1,V6)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #73: exists( #17, #54 ), references = 1, size of lhs = 9:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_h-{F}(V5,V3), P_op1-{F}(V0,V5,V6), P_op2-{F}(V1,V3,V7) | P_h-{T}(V6,V7)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #78: mergings( V5 == V7; #76 ), references = 1, size of lhs = 10:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti1-{F}(V2), P_h-{F}(V2,V1), pppp0-{F}(V1,V3), P_j-{F}(V3,V4), P_h-{F}(V4,V3), P_op1-{F}(V2,V4,V5), P_op1-{F}(V0,V4,V5) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #80: exists( #15, #76 ), references = 2, size of lhs = 6:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V1,V2), P_j-{F}(V2,V3), P_h-{F}(V3,V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #82: exists( #17, #32 ), references = 1, size of lhs = 3:
% 0.19/0.43 pppp2-{F}(), pppp0-{F}(V0,V1), P_j-{F}(V1,V2) | P_h-{T}(V2,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #86: mergings( V3 == V4; #84 ), references = 2, size of lhs = 4:
% 0.19/0.43 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V1,V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #91: exists( #18, #89 ), references = 1, size of lhs = 3:
% 0.19/0.43 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V0,V1) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #93: exists( #4, #90 ), references = 1, size of lhs = 3:
% 0.19/0.43 pppp2-{F}(), pppp1-{F}(V0), sorti2-{F}(V0) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #96: exists( #3, #94 ), references = 1, size of lhs = 1:
% 0.19/0.43 pppp2-{F}() | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #98: #8+#95, references = 1, size of lhs = 0:
% 0.19/0.43 FALSE | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of learnt formulas = 21
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 randbase = 1
%------------------------------------------------------------------------------