TSTP Solution File: ALG073+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG073+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 05:57:12 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG073+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 10:45:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.41 GeoParameters:
% 0.18/0.41
% 0.18/0.41 tptp_input = 1
% 0.18/0.41 tptp_output = 0
% 0.18/0.41 nonempty = 1
% 0.18/0.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 RuleSystem INPUT:
% 0.18/0.41
% 0.18/0.41 Initial Rules:
% 0.18/0.41 #0: input, references = 5, size of lhs = 3:
% 0.18/0.41 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), sorti1-{F}(V1) | sorti1-{T}(V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #1: input, references = 3, size of lhs = 3:
% 0.18/0.41 sorti2-{F}(V0), P_op2-{F}(V0,V1,V2), sorti2-{F}(V1) | sorti2-{T}(V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #2: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #3: input, references = 4, size of lhs = 2:
% 0.18/0.41 pppp1-{F}(V0), P_op1-{F}(V0,V0,V1) | EXISTS V2: pppp0-{T}(V0,V2,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #4: input, references = 5, size of lhs = 2:
% 0.18/0.41 pppp1-{F}(V0), P_op1-{F}(V0,V0,V1) | sorti1-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #5: input, references = 4, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), P_op1-{F}(V1,V1,V3), P_op1-{F}(V0,V1,V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #6: input, references = 4, size of lhs = 4:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), P_op1-{F}(V1,V1,V3), P_op1-{F}(V0,V1,V4), V3 == V0 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #7: input, references = 4, size of lhs = 4:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), P_op1-{F}(V1,V1,V3), P_op1-{F}(V0,V1,V4), V2 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #8: input, references = 3, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), P_op1-{F}(V1,V1,V3), P_op1-{F}(V0,V1,V4) | sorti1-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #9: input, references = 4, size of lhs = 6:
% 0.18/0.41 P_op2-{F}(V0,V0,V2), sorti2-{F}(V0), P_op2-{F}(V2,V2,V0), P_op2-{F}(V0,V2,V4), sorti2-{F}(V2), V4 == V0 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #10: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | pppp2-{T}()
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #11: input, references = 5, size of lhs = 5:
% 0.18/0.41 pppp2-{F}(), P_h-{F}(V0,V1), P_j-{F}(V1,V2), sorti1-{F}(V0), V2 == V0 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #12: input, references = 3, size of lhs = 5:
% 0.18/0.41 pppp2-{F}(), P_j-{F}(V0,V1), P_h-{F}(V1,V2), sorti2-{F}(V0), V2 == V0 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #13: input, references = 4, size of lhs = 9:
% 0.18/0.41 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
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #14: input, references = 4, size of lhs = 9:
% 0.18/0.41 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
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #15: input, references = 3, size of lhs = 3:
% 0.18/0.41 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0) | sorti1-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #16: input, references = 6, size of lhs = 3:
% 0.18/0.41 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0) | sorti2-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #17: input, references = 8, size of lhs = 2:
% 0.18/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #18: input, references = 4, size of lhs = 2:
% 0.18/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #19: input, references = 6, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #20: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of initial rules = 21
% 0.18/0.41
% 0.18/0.41 Simplifiers:
% 0.18/0.41 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of simplifiers = 8
% 0.18/0.41
% 0.18/0.41 Learnt:
% 0.18/0.41 #32: exists( #17, #5 ), references = 2, size of lhs = 2:
% 0.18/0.41 P_op1-{F}(V0,V1,V0), pppp0-{F}(V0,V1,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #33: exists( #17, #7 ), references = 1, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), V2 == V1, P_op1-{F}(V0,V1,V3) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #35: mergings( V3 == V0; #30 ), references = 2, size of lhs = 2:
% 0.18/0.41 pppp0-{F}(V0,V1,V1), P_op1-{F}(V0,V1,V2) | P_op1-{T}(V1,V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #37: exists( #17, #31 ), references = 1, size of lhs = 2:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #39: exists( #3, #36 ), references = 2, size of lhs = 2:
% 0.18/0.41 pppp1-{F}(V0), P_op1-{F}(V0,V0,V1) | pppp0-{T}(V0,V1,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #45: exists( #17, #43 ), references = 1, size of lhs = 6:
% 0.18/0.41 pppp2-{F}(), pppp1-{F}(V0), P_h-{F}(V0,V1), P_j-{F}(V1,V0), P_op2-{F}(V1,V1,V2), P_j-{F}(V2,V3) | P_op1-{T}(V0,V0,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #51: exists( #18, #14 ), references = 4, size of lhs = 7:
% 0.18/0.41 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)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #54: exists( #19, #52 ), references = 2, size of lhs = 10:
% 0.18/0.41 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti2-{F}(V1), sorti1-{F}(V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V2,V4), P_op2-{F}(V1,V1,V4), P_op2-{F}(V4,V4,V1), sorti2-{F}(V4) | P_h-{T}(V3,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #64: exists( #20, #11 ), references = 1, size of lhs = 3:
% 0.18/0.41 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1) | P_j-{T}(V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #73: exists( #17, #71 ), references = 1, size of lhs = 10:
% 0.18/0.41 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_op2-{F}(V1,V1,V0), sorti1-{F}(V2), P_h-{F}(V2,V1), sorti1-{F}(V3), pppp0-{F}(V2,V3,V3), P_h-{F}(V3,V0), P_j-{F}(V1,V4) | P_op1-{T}(V2,V3,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #79: mergings( V0 == V6; #77 ), references = 1, size of lhs = 12:
% 0.18/0.41 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti2-{F}(V1), sorti1-{F}(V2), P_h-{F}(V2,V1), P_op1-{F}(V0,V2,V3), sorti1-{F}(V3), sorti1-{F}(V4), P_h-{F}(V4,V1), P_j-{F}(V1,V4), pppp0-{F}(V4,V3,V3) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #86: exists( #17, #84 ), references = 1, size of lhs = 3:
% 0.18/0.41 pppp2-{F}(), pppp1-{F}(V0), P_h-{F}(V0,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #88: exists( #19, #85 ), references = 1, size of lhs = 2:
% 0.18/0.41 pppp2-{F}(), pppp1-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #90: exists( #2, #87 ), references = 1, size of lhs = 1:
% 0.18/0.41 pppp2-{F}() | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #92: #10+#89, references = 1, size of lhs = 0:
% 0.18/0.41 FALSE | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of learnt formulas = 15
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 randbase = 1
%------------------------------------------------------------------------------