TSTP Solution File: CAT010-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT010-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 05:58:49 EDT 2022
% Result : Unsatisfiable 5.06s 5.23s
% Output : Refutation 5.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT010-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 07:44:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.06/5.23 GeoParameters:
% 5.06/5.23
% 5.06/5.23 tptp_input = 1
% 5.06/5.23 tptp_output = 0
% 5.06/5.23 nonempty = 1
% 5.06/5.23 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.06/5.23 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.06/5.23
% 5.06/5.23
% 5.06/5.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.06/5.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.06/5.23
% 5.06/5.23 RuleSystem INPUT:
% 5.06/5.23
% 5.06/5.23 Initial Rules:
% 5.06/5.23 #0: input, references = 4, size of lhs = 2:
% 5.06/5.23 P_ifeq3-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #1: input, references = 4, size of lhs = 2:
% 5.06/5.23 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #2: input, references = 4, size of lhs = 2:
% 5.06/5.23 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #3: input, references = 4, size of lhs = 5:
% 5.06/5.23 P_true-{F}(V0), P_equivalent-{F}(V1,V2,V3), P_there_exists-{F}(V1,V4), P_ifeq-{F}(V3,V0,V4,V0,V5), V5 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #4: input, references = 4, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_equivalent-{F}(V1,V2,V3), P_ifeq2-{F}(V3,V0,V1,V2,V4), V4 == V2 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #5: input, references = 5, size of lhs = 5:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V2), P_equivalent-{F}(V1,V1,V3), P_ifeq-{F}(V2,V0,V3,V0,V4), V4 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #6: input, references = 4, size of lhs = 6:
% 5.06/5.23 P_true-{F}(V0), P_domain-{F}(V1,V2), P_there_exists-{F}(V2,V3), P_there_exists-{F}(V1,V4), P_ifeq-{F}(V3,V0,V4,V0,V5), V5 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #7: input, references = 5, size of lhs = 6:
% 5.06/5.23 P_true-{F}(V0), P_codomain-{F}(V1,V2), P_there_exists-{F}(V2,V3), P_there_exists-{F}(V1,V4), P_ifeq-{F}(V3,V0,V4,V0,V5), V5 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #8: input, references = 5, size of lhs = 7:
% 5.06/5.23 P_true-{F}(V0), P_compose-{F}(V1,V2,V3), P_there_exists-{F}(V3,V4), P_domain-{F}(V1,V5), P_there_exists-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), V7 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #9: input, references = 7, size of lhs = 7:
% 5.06/5.23 P_true-{F}(V0), P_compose-{F}(V1,V2,V3), P_there_exists-{F}(V3,V4), P_domain-{F}(V1,V5), P_codomain-{F}(V2,V6), P_ifeq2-{F}(V4,V0,V5,V6,V7), V7 == V6 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #10: input, references = 3, size of lhs = 9:
% 5.06/5.23 P_true-{F}(V0), P_domain-{F}(V1,V3), P_there_exists-{F}(V3,V4), P_codomain-{F}(V2,V5), P_compose-{F}(V1,V2,V6), P_there_exists-{F}(V6,V7), P_ifeq3-{F}(V3,V5,V7,V0,V8), P_ifeq-{F}(V4,V0,V8,V0,V9), V9 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #11: input, references = 5, size of lhs = 6:
% 5.06/5.23 P_true-{F}(V0), P_compose-{F}(V2,V3,V4), P_compose-{F}(V1,V4,V5), P_compose-{F}(V1,V2,V6), P_compose-{F}(V6,V3,V7), V5 == V7 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #12: input, references = 4, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_domain-{F}(V1,V2), P_compose-{F}(V1,V2,V3), V3 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #13: input, references = 4, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_codomain-{F}(V1,V2), P_compose-{F}(V2,V1,V3), V3 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #14: input, references = 4, size of lhs = 6:
% 5.06/5.23 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_there_exists-{F}(V3,V4), V4 == V0 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #15: input, references = 4, size of lhs = 7:
% 5.06/5.23 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_there_exists-{F}(V3,V4), P_codomain-{F}(V3,V6), P_codomain-{F}(V1,V6) | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #16: input, references = 4, size of lhs = 4:
% 5.06/5.23 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq3-{T}(V0,V1,V2,V3,V4)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #17: input, references = 6, size of lhs = 4:
% 5.06/5.23 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #18: input, references = 5, size of lhs = 4:
% 5.06/5.23 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #19: input, references = 4, size of lhs = 2:
% 5.06/5.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_equivalent-{T}(V0,V1,V2)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #20: input, references = 4, size of lhs = 0:
% 5.06/5.23 FALSE | EXISTS V0: P_true-{T}(V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #21: input, references = 7, size of lhs = 1:
% 5.06/5.23 #-{F} V0 | EXISTS V1: P_there_exists-{T}(V0,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #22: input, references = 5, size of lhs = 1:
% 5.06/5.23 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #23: input, references = 6, size of lhs = 1:
% 5.06/5.23 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #24: input, references = 10, size of lhs = 2:
% 5.06/5.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #25: input, references = 4, size of lhs = 0:
% 5.06/5.23 FALSE | EXISTS V0: P_a-{T}(V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #26: input, references = 4, size of lhs = 0:
% 5.06/5.23 FALSE | EXISTS V0: P_b-{T}(V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 number of initial rules = 27
% 5.06/5.23
% 5.06/5.23 Simplifiers:
% 5.06/5.23 #27: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_ifeq3-{F}(V0,V1,V2,V3,V4), P_ifeq3-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #28: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #29: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #30: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_equivalent-{F}(V0,V1,V2), P_equivalent-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #31: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #32: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_there_exists-{F}(V0,V1), P_there_exists-{F}(V0,V3), V1 == V3 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #33: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #34: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #35: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #36: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #37: unsound, references = 3, size of lhs = 3:
% 5.06/5.23 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 number of simplifiers = 11
% 5.06/5.23
% 5.06/5.23 Learnt:
% 5.06/5.23 #39: exists( #17, #1 ), references = 4, size of lhs = 3:
% 5.06/5.23 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #41: exists( #16, #0 ), references = 1, size of lhs = 3:
% 5.06/5.23 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq3-{T}(V0,V0,V1,V2,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #44: exists( #24, #12 ), references = 1, size of lhs = 2:
% 5.06/5.23 P_true-{F}(V0), P_domain-{F}(V1,V2) | P_compose-{T}(V1,V2,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #45: exists( #24, #13 ), references = 2, size of lhs = 2:
% 5.06/5.23 P_true-{F}(V0), P_codomain-{F}(V1,V2) | P_compose-{T}(V2,V1,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #48: exists( #23, #46 ), references = 2, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V0), P_compose-{F}(V2,V3,V1), P_domain-{F}(V2,V4) | P_codomain-{T}(V3,V4)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #50: exists( #18, #2 ), references = 5, size of lhs = 3:
% 5.06/5.23 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #56: exists( #17, #4 ), references = 1, size of lhs = 2:
% 5.06/5.23 P_true-{F}(V0), P_equivalent-{F}(V1,V2,V3) | P_ifeq2-{T}(V3,V0,V1,V2,V2)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #61: exists( #18, #7 ), references = 1, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_codomain-{F}(V1,V2), P_there_exists-{F}(V2,V3), P_there_exists-{F}(V1,V4) | P_ifeq-{T}(V3,V0,V4,V0,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #62: exists( #18, #3 ), references = 1, size of lhs = 3:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V2), P_equivalent-{F}(V1,V3,V4) | P_ifeq-{T}(V4,V0,V2,V0,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #63: exists( #18, #5 ), references = 1, size of lhs = 3:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V2), P_equivalent-{F}(V1,V1,V3) | P_ifeq-{T}(V2,V0,V3,V0,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #68: exists( #24, #11 ), references = 1, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_compose-{F}(V1,V2,V3), P_compose-{F}(V4,V3,V5), P_compose-{F}(V4,V1,V6) | P_compose-{T}(V6,V2,V5)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #72: exists( #24, #11 ), references = 3, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_compose-{F}(V1,V2,V3), P_compose-{F}(V4,V1,V5), P_compose-{F}(V5,V2,V6) | P_compose-{T}(V4,V3,V6)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #77: exists( #17, #9 ), references = 1, size of lhs = 5:
% 5.06/5.23 P_true-{F}(V0), P_domain-{F}(V1,V2), P_compose-{F}(V1,V3,V4), P_there_exists-{F}(V4,V5), P_codomain-{F}(V3,V6) | P_ifeq2-{T}(V5,V0,V2,V6,V6)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #80: exists( #21, #14 ), references = 4, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3) | P_there_exists-{T}(V3,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #88: mergings( V3 == V4, V4 == V5; #84 ), references = 1, size of lhs = 8:
% 5.06/5.23 P_a-{F}(V0), P_b-{F}(V1), P_true-{F}(V2), P_compose-{F}(V3,V0,V0), P_domain-{F}(V3,V4), P_there_exists-{F}(V4,V5), P_ifeq-{F}(V2,V2,V5,V2,V6), V6 == V2 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #95: mergings( V3 == V4; #93 ), references = 2, size of lhs = 7:
% 5.06/5.23 P_a-{F}(V0), P_b-{F}(V1), P_true-{F}(V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), P_ifeq2-{F}(V2,V2,V3,V4,V5), V5 == V4 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #98: exists( #21, #96 ), references = 1, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V0), P_compose-{F}(V2,V3,V1), P_domain-{F}(V2,V4) | P_there_exists-{T}(V4,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #109: mergings( V3 == V4; #105 ), references = 1, size of lhs = 8:
% 5.06/5.23 P_a-{F}(V0), P_b-{F}(V1), P_true-{F}(V2), P_domain-{F}(V0,V3), P_domain-{F}(V4,V3), P_there_exists-{F}(V4,V5), P_ifeq-{F}(V2,V2,V5,V2,V6), V6 == V2 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #112: mergings( V3 == V4; #110 ), references = 2, size of lhs = 6:
% 5.06/5.23 P_a-{F}(V0), P_b-{F}(V1), P_true-{F}(V2), P_there_exists-{F}(V0,V3), P_ifeq-{F}(V2,V2,V3,V2,V4), V4 == V2 | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #115: exists( #21, #113 ), references = 1, size of lhs = 3:
% 5.06/5.23 P_a-{F}(V0), P_b-{F}(V1), P_true-{F}(V2) | P_there_exists-{T}(V0,V2)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #118: exists( #23, #116 ), references = 1, size of lhs = 4:
% 5.06/5.23 P_a-{F}(V0), P_b-{F}(V1), P_true-{F}(V2), P_domain-{F}(V0,V3) | P_codomain-{T}(V1,V3)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #128: exists( #19, #126 ), references = 1, size of lhs = 2:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V0) | P_equivalent-{T}(V1,V1,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #137: exists( #22, #135 ), references = 2, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V0), P_compose-{F}(V2,V3,V1), P_codomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #142: exists( #21, #140 ), references = 1, size of lhs = 3:
% 5.06/5.23 P_true-{F}(V0), P_there_exists-{F}(V1,V0), P_codomain-{F}(V2,V1) | P_there_exists-{T}(V2,V0)
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #150: mergings( V3 == V4, V4 == V5; #147 ), references = 2, size of lhs = 6:
% 5.06/5.23 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_codomain-{F}(V1,V3), P_domain-{F}(V4,V3), P_compose-{F}(V4,V1,V1) | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #159: mergings( V2 == V3, V3 == V4; #156 ), references = 1, size of lhs = 4:
% 5.06/5.23 P_true-{F}(V0), P_a-{F}(V1), P_there_exists-{F}(V1,V0), P_b-{F}(V2) | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #164: mergings( V1 == V2, V2 == V3; #161 ), references = 1, size of lhs = 2:
% 5.06/5.23 P_true-{F}(V0), P_a-{F}(V1) | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #168: mergings( V1 == V2, V2 == V3; #165 ), references = 1, size of lhs = 1:
% 5.06/5.23 P_true-{F}(V0) | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 #170: exists( #20, #165 ), references = 1, size of lhs = 0:
% 5.06/5.23 FALSE | FALSE
% 5.06/5.23 (used 0 times, uses = {})
% 5.06/5.23
% 5.06/5.23 number of learnt formulas = 29
% 5.06/5.23
% 5.06/5.23
% 5.06/5.23 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.06/5.23
% 5.06/5.23 randbase = 1
%------------------------------------------------------------------------------