TSTP Solution File: HEN005-3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN005-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:04:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 21:03:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.52 GeoParameters:
% 0.19/0.52
% 0.19/0.52 tptp_input = 1
% 0.19/0.52 tptp_output = 0
% 0.19/0.52 nonempty = 1
% 0.19/0.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 RuleSystem INPUT:
% 0.19/0.52
% 0.19/0.52 Initial Rules:
% 0.19/0.52 #0: input, references = 4, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #1: input, references = 7, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #2: input, references = 4, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #3: input, references = 4, size of lhs = 6:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8) | less_equal-{T}(V6,V8)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #4: input, references = 7, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #5: input, references = 8, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #6: input, references = 5, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #7: input, references = 5, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | less_equal-{T}(V2,V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #8: input, references = 6, size of lhs = 5:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | less_equal-{T}(V3,V4)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #9: input, references = 6, size of lhs = 6:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), less_equal-{F}(V2,V4) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #10: input, references = 7, size of lhs = 2:
% 0.19/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #11: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #12: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #13: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #14: input, references = 6, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #15: input, references = 7, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of initial rules = 16
% 0.19/0.52
% 0.19/0.52 Simplifiers:
% 0.19/0.52 #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of simplifiers = 6
% 0.19/0.52
% 0.19/0.52 Learnt:
% 0.19/0.52 #31: mergings( V1 == V5, V2 == V6, V3 == V4, V4 == V7; #26 ), references = 1, size of lhs = 4:
% 0.19/0.52 P_a-{F}(V0), P_b-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #38: mergings( V1 == V3, V3 == V5, V2 == V4; #34 ), references = 1, size of lhs = 3:
% 0.19/0.52 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_b-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #43: mergings( V1 == V2; #41 ), references = 1, size of lhs = 4:
% 0.19/0.52 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #46: mergings( V1 == V2; #44 ), references = 1, size of lhs = 3:
% 0.19/0.52 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #54: mergings( V1 == V3, V3 == V6, V2 == V4; #50 ), references = 1, size of lhs = 4:
% 0.19/0.52 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2) | P_c-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #63: exists( #10, #0 ), references = 5, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #82: mergings( V3 == V4, V4 == V5; #79 ), references = 4, size of lhs = 5:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #93: mergings( V3 == V4, V4 == V5; #90 ), references = 2, size of lhs = 5:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), less_equal-{F}(V3,V2), V3 == V2, P_divide-{F}(V4,V1,V3) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #110: mergings( V3 == V4, V4 == V5; #106 ), references = 2, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V1,V3) | P_divide-{T}(V4,V2,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #112: mergings( V3 == V4; #107 ), references = 1, size of lhs = 5:
% 0.19/0.52 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V1,V2), P_divide-{F}(V4,V1,V0), P_divide-{F}(V5,V3,V4) | P_divide-{T}(V5,V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #126: mergings( V1 == V2, V2 == V6, V6 == V7, V3 == V8, V4 == V9, V5 == V10; #119 ), references = 1, size of lhs = 5:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #137: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V8, V2 == V5, V5 == V9, V6 == V10; #129 ), references = 1, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #145: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V2 == V5, V5 == V8; #138 ), references = 1, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #151: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #146 ), references = 1, size of lhs = 1:
% 0.19/0.52 P_zero-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #153: exists( #11, #146 ), references = 1, size of lhs = 0:
% 0.19/0.52 FALSE | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of learnt formulas = 15
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 randbase = 1
%------------------------------------------------------------------------------