TSTP Solution File: CAT003-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 05:58:47 EDT 2022
% Result : Unsatisfiable 1.07s 1.30s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n010.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 07:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.07/1.30 GeoParameters:
% 1.07/1.30
% 1.07/1.30 tptp_input = 1
% 1.07/1.30 tptp_output = 0
% 1.07/1.30 nonempty = 1
% 1.07/1.30 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.07/1.30
% 1.07/1.30
% 1.07/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 RuleSystem INPUT:
% 1.07/1.30
% 1.07/1.30 Initial Rules:
% 1.07/1.30 #0: input, references = 4, size of lhs = 3:
% 1.07/1.30 P_domain-{F}(V0,V1), P_codomain-{F}(V1,V2), V2 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #1: input, references = 4, size of lhs = 3:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_domain-{F}(V1,V2), V2 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #2: input, references = 4, size of lhs = 3:
% 1.07/1.30 P_domain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #3: input, references = 4, size of lhs = 3:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #4: input, references = 4, size of lhs = 6:
% 1.07/1.30 P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_compose-{F}(V0,V1,V4), P_domain-{F}(V4,V5), P_domain-{F}(V0,V6), V5 == V6 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #5: input, references = 5, size of lhs = 6:
% 1.07/1.30 P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_compose-{F}(V0,V1,V4), P_codomain-{F}(V4,V5), P_codomain-{F}(V1,V6), V5 == V6 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #6: input, references = 5, size of lhs = 9:
% 1.07/1.30 P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_domain-{F}(V0,V4), P_compose-{F}(V0,V1,V5), P_codomain-{F}(V6,V4), P_compose-{F}(V6,V5,V8), P_compose-{F}(V6,V0,V9), P_compose-{F}(V9,V1,V10), V8 == V10 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #7: input, references = 4, size of lhs = 9:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V8), P_domain-{F}(V4,V8), P_compose-{F}(V2,V4,V10), P_domain-{F}(V7,V8), P_compose-{F}(V2,V7,V10), V7 == V4 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #8: input, references = 4, size of lhs = 7:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V5), V4 == V5 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #9: input, references = 4, size of lhs = 10:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V5), P_codomain-{F}(V1,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), V6 == V8 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #10: input, references = 5, size of lhs = 12:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V5), P_codomain-{F}(V1,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9), P_domain-{F}(V9,V10), V6 == V10 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #11: input, references = 6, size of lhs = 14:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V5), P_codomain-{F}(V1,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9), P_domain-{F}(V9,V10), P_compose-{F}(V1,V7,V11), P_compose-{F}(V1,V9,V12), V11 == V12 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #12: input, references = 4, size of lhs = 13:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V5), P_codomain-{F}(V1,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V7), P_domain-{F}(V7,V10), P_compose-{F}(V1,V7,V11), P_compose-{F}(V1,V7,V12) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #13: input, references = 19, size of lhs = 1:
% 1.07/1.30 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #14: input, references = 13, size of lhs = 1:
% 1.07/1.30 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #15: input, references = 19, size of lhs = 2:
% 1.07/1.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #16: input, references = 4, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #17: input, references = 4, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #18: input, references = 5, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_h-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #19: input, references = 7, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_g-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of initial rules = 20
% 1.07/1.30
% 1.07/1.30 Simplifiers:
% 1.07/1.30 #20: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #21: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #22: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #23: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #24: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #25: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #26: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of simplifiers = 7
% 1.07/1.30
% 1.07/1.30 Learnt:
% 1.07/1.30 #28: exists( #15, #3 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_codomain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #33: mergings( V8 == V9, V10 == V11; #30 ), references = 2, size of lhs = 10:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V0,V3), P_domain-{F}(V1,V4), P_codomain-{F}(V1,V5), P_h-{F}(V6), P_g-{F}(V6), P_domain-{F}(V6,V7), P_compose-{F}(V1,V6,V8) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #34: exists( #13, #5 ), references = 5, size of lhs = 4:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V2,V4) | P_codomain-{T}(V3,V4)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #39: mergings( V2 == V4, V3 == V5, V5 == V6; #35 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0), P_codomain-{F}(V0,V1), P_domain-{F}(V0,V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #42: mergings( V2 == V3; #40 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0), P_codomain-{F}(V0,V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #44: exists( #13, #40 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #46: exists( #14, #1 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_codomain-{F}(V0,V1) | P_domain-{T}(V1,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #48: exists( #13, #0 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_domain-{F}(V0,V1) | P_codomain-{T}(V1,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #51: exists( #15, #2 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_domain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #55: exists( #14, #10 ), references = 2, size of lhs = 10:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V5), P_codomain-{F}(V1,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9) | P_domain-{T}(V9,V6)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #70: exists( #13, #8 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V0,V3), P_domain-{F}(V1,V4), V3 == V4 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #72: mergings( V4 == V5; #68 ), references = 1, size of lhs = 9:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_codomain-{F}(V1,V4), P_h-{F}(V5), P_domain-{F}(V5,V6), V4 == V6 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #74: mergings( V4 == V5; #69 ), references = 1, size of lhs = 11:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_codomain-{F}(V1,V4), P_h-{F}(V5), P_domain-{F}(V5,V6), P_g-{F}(V7), P_domain-{F}(V7,V8), V4 == V8 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #78: exists( #15, #67 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V3), V2 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #80: mergings( V3 == V4; #76 ), references = 4, size of lhs = 8:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_codomain-{F}(V1,V3), P_h-{F}(V4), P_domain-{F}(V4,V5), V3 == V5 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #82: mergings( V3 == V4; #77 ), references = 3, size of lhs = 10:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_codomain-{F}(V1,V3), P_h-{F}(V4), P_domain-{F}(V4,V5), P_g-{F}(V6), P_domain-{F}(V6,V7), V3 == V7 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #87: exists( #14, #75 ), references = 9, size of lhs = 3:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2) | P_domain-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #88: exists( #14, #76 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V1), P_codomain-{F}(V0,V2), P_codomain-{F}(V1,V3) | P_domain-{T}(V1,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #91: mergings( V6 == V7; #89 ), references = 3, size of lhs = 12:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V4), P_codomain-{F}(V1,V5), P_h-{F}(V6), P_domain-{F}(V6,V7), P_g-{F}(V8), P_domain-{F}(V8,V9), P_compose-{F}(V1,V6,V10) | P_compose-{T}(V1,V8,V10)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #96: exists( #15, #6 ), references = 3, size of lhs = 7:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_domain-{F}(V0,V3), P_compose-{F}(V0,V2,V4), P_codomain-{F}(V5,V3), P_compose-{F}(V5,V4,V6), P_compose-{F}(V5,V0,V7) | P_compose-{T}(V7,V2,V6)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #103: exists( #13, #5 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #105: exists( #14, #4 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_domain-{F}(V0,V4) | P_domain-{T}(V3,V4)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #109: exists( #15, #6 ), references = 1, size of lhs = 7:
% 1.07/1.30 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_domain-{F}(V0,V3), P_compose-{F}(V0,V2,V4), P_codomain-{F}(V5,V3), P_compose-{F}(V5,V0,V6), P_compose-{F}(V6,V2,V7) | P_compose-{T}(V5,V4,V7)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #121: mergings( V10 == V14, V6 == V8, V8 == V12; #117 ), references = 3, size of lhs = 16:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_domain-{F}(V4,V3), P_codomain-{F}(V5,V3), P_domain-{F}(V5,V6), P_compose-{F}(V5,V4,V7), P_compose-{F}(V8,V5,V2), P_codomain-{F}(V8,V6), P_domain-{F}(V9,V3), V9 == V4, P_codomain-{F}(V10,V3), P_compose-{F}(V10,V9,V7), P_compose-{F}(V8,V10,V2), P_domain-{F}(V10,V6) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #137: mergings( V2 == V5, V5 == V4, V4 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V14, V3 == V10, V10 == V14, V6 == V0, V7 == V14; #125 ), references = 1, size of lhs = 7:
% 1.07/1.30 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V0 == V1, P_domain-{F}(V0,V2), P_codomain-{F}(V0,V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #140: exists( #13, #138 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #142: exists( #19, #139 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0) | P_g-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #148: mergings( V3 == V4; #146 ), references = 2, size of lhs = 9:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_codomain-{F}(V1,V3), P_h-{F}(V4), P_g-{F}(V4), P_domain-{F}(V4,V5), P_compose-{F}(V1,V4,V6) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #155: exists( #14, #80 ), references = 4, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_codomain-{F}(V1,V3), P_h-{F}(V4) | P_domain-{T}(V4,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #169: exists( #15, #148 ), references = 3, size of lhs = 8:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_codomain-{F}(V1,V3), P_h-{F}(V4), P_g-{F}(V4), P_domain-{F}(V4,V5) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #173: exists( #13, #171 ), references = 2, size of lhs = 4:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_g-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #181: mergings( V2 == V4, V4 == V9, V9 == V10, V3 == V7, V7 == V10; #175 ), references = 1, size of lhs = 8:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V0), P_h-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_domain-{F}(V0,V4), P_codomain-{F}(V0,V4) | P_compose-{T}(V0,V0,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #195: exists( #13, #193 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_domain-{F}(V1,V2) | P_codomain-{T}(V0,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #226: mergings( V6 == V7; #224 ), references = 2, size of lhs = 12:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V4), P_codomain-{F}(V1,V5), P_h-{F}(V6), P_domain-{F}(V6,V7), P_g-{F}(V8), P_domain-{F}(V8,V9), P_compose-{F}(V1,V8,V10) | P_compose-{T}(V1,V6,V10)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #237: mergings( V2 == V3, V3 == V7, V7 == V8, V8 == V9, V5 == V9, V6 == V9; #230 ), references = 1, size of lhs = 8:
% 1.07/1.30 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V1), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V2), P_domain-{F}(V1,V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #241: exists( #13, #239 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #251: exists( #14, #82 ), references = 3, size of lhs = 8:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_codomain-{F}(V1,V3), P_h-{F}(V4), P_domain-{F}(V4,V5), P_g-{F}(V6) | P_domain-{T}(V6,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #265: mergings( V3 == V11, V4 == V10, V11 == V12, V8 == V10; #259 ), references = 2, size of lhs = 13:
% 1.07/1.30 P_h-{F}(V0), P_domain-{F}(V0,V1), P_g-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_compose-{F}(V4,V0,V5), P_domain-{F}(V2,V6), P_codomain-{F}(V4,V6), P_codomain-{F}(V3,V7), P_domain-{F}(V4,V7), P_domain-{F}(V8,V6), V8 == V2, P_compose-{F}(V4,V8,V5) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #276: mergings( V3 == V6; #274 ), references = 3, size of lhs = 10:
% 1.07/1.30 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2), P_b-{F}(V3), P_domain-{F}(V1,V4), P_codomain-{F}(V3,V4), P_domain-{F}(V0,V4), P_codomain-{F}(V2,V5), P_domain-{F}(V3,V5) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #281: exists( #13, #279 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #283: exists( #19, #280 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | P_g-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #287: mergings( V1 == V2; #285 ), references = 1, size of lhs = 2:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #299: exists( #13, #80 ), references = 4, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_h-{F}(V3), P_domain-{F}(V3,V4) | P_codomain-{T}(V1,V4)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #303: exists( #13, #301 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V1), P_g-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #322: exists( #13, #320 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_h-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #324: exists( #19, #321 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_h-{F}(V0), P_b-{F}(V0), P_a-{F}(V1) | P_g-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #349: mergings( V3 == V6, V2 == V4; #346 ), references = 1, size of lhs = 7:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_h-{F}(V3), P_g-{F}(V4), P_domain-{F}(V4,V5) | P_domain-{T}(V3,V5)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #355: mergings( V2 == V5; #353 ), references = 2, size of lhs = 6:
% 1.07/1.30 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_domain-{F}(V1,V2), P_a-{F}(V3), P_b-{F}(V4) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #358: exists( #14, #355 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #360: exists( #19, #357 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_g-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #369: exists( #13, #169 ), references = 1, size of lhs = 7:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_h-{F}(V3), P_g-{F}(V3), P_domain-{F}(V3,V4) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #371: exists( #14, #368 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_h-{F}(V3), P_g-{F}(V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #374: exists( #13, #372 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #379: mergings( V1 == V3, V2 == V4; #376 ), references = 1, size of lhs = 2:
% 1.07/1.30 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #382: mergings( V1 == V2; #380 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_a-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #384: exists( #16, #380 ), references = 1, size of lhs = 0:
% 1.07/1.30 FALSE | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of learnt formulas = 56
% 1.07/1.30
% 1.07/1.30
% 1.07/1.30 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 randbase = 1
%------------------------------------------------------------------------------