TSTP Solution File: SEU239+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:17:35 EDT 2022
% Result : Theorem 1.52s 1.68s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 19:15:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.52/1.68 GeoParameters:
% 1.52/1.68
% 1.52/1.68 tptp_input = 1
% 1.52/1.68 tptp_output = 0
% 1.52/1.68 nonempty = 1
% 1.52/1.68 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.68 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.52/1.68
% 1.52/1.68
% 1.52/1.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.68
% 1.52/1.68 RuleSystem INPUT:
% 1.52/1.68
% 1.52/1.68 Initial Rules:
% 1.52/1.68 #0: input, references = 7, size of lhs = 2:
% 1.52/1.68 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #1: input, references = 3, size of lhs = 1:
% 1.52/1.68 empty-{F}(V0) | function-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #2: input, references = 3, size of lhs = 3:
% 1.52/1.68 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #3: input, references = 4, size of lhs = 3:
% 1.52/1.68 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #4: input, references = 5, size of lhs = 3:
% 1.52/1.68 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #5: input, references = 5, size of lhs = 2:
% 1.52/1.68 relation-{F}(V0), is_reflexive_in-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #6: input, references = 4, size of lhs = 2:
% 1.52/1.68 relation-{F}(V0), pppp0-{F}(V0,V1) | is_reflexive_in-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #7: input, references = 12, size of lhs = 3:
% 1.52/1.68 pppp0-{F}(V0,V1), P_ordered_pair-{F}(V2,V2,V3), in-{F}(V2,V1) | in-{T}(V3,V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #8: input, references = 10, size of lhs = 2:
% 1.52/1.68 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp12-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #9: input, references = 4, size of lhs = 1:
% 1.52/1.68 pppp12-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #10: input, references = 6, size of lhs = 3:
% 1.52/1.68 pppp2-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V2,V3), in-{F}(V3,V0) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #11: input, references = 6, size of lhs = 2:
% 1.52/1.68 pppp2-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V2,V3) | in-{T}(V2,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #12: input, references = 5, size of lhs = 5:
% 1.52/1.68 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #13: input, references = 5, size of lhs = 6:
% 1.52/1.68 P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), P_set_union2-{F}(V2,V3,V4), relation-{F}(V0), V1 == V4 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #14: input, references = 5, size of lhs = 3:
% 1.52/1.68 P_relation_field-{F}(V0,V1), relation-{F}(V0), reflexive-{F}(V0) | is_reflexive_in-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #15: input, references = 4, size of lhs = 3:
% 1.52/1.68 P_relation_field-{F}(V0,V1), relation-{F}(V0), is_reflexive_in-{F}(V0,V1) | reflexive-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #16: input, references = 5, size of lhs = 1:
% 1.52/1.68 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #17: input, references = 5, size of lhs = 1:
% 1.52/1.68 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #18: input, references = 3, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #19: input, references = 3, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #20: input, references = 3, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #21: input, references = 5, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #22: input, references = 4, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #23: input, references = 4, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #24: input, references = 4, size of lhs = 1:
% 1.52/1.68 pppp5-{F}(V0) | pppp4-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #25: input, references = 5, size of lhs = 3:
% 1.52/1.68 pppp4-{F}(V0), pppp1-{F}(V0), reflexive-{F}(V0) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #26: input, references = 7, size of lhs = 1:
% 1.52/1.68 pppp4-{F}(V0) | reflexive-{T}(V0), pppp1-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #27: input, references = 4, size of lhs = 1:
% 1.52/1.68 pppp4-{F}(V0) | relation-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #28: input, references = 8, size of lhs = 5:
% 1.52/1.68 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), pppp1-{F}(V1), P_ordered_pair-{F}(V3,V3,V4), in-{F}(V3,V2) | in-{T}(V4,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #29: input, references = 7, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2) | pppp1-{T}(V1), pppp13-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #30: input, references = 4, size of lhs = 1:
% 1.52/1.68 pppp13-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V2,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #31: input, references = 4, size of lhs = 3:
% 1.52/1.68 pppp6-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V1,V3), in-{F}(V3,V0) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #32: input, references = 5, size of lhs = 2:
% 1.52/1.68 pppp6-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V1,V3) | in-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #33: input, references = 3, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #34: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp7-{F}(V0) | function-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #35: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp7-{F}(V0) | relation-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #36: input, references = 4, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #37: input, references = 5, size of lhs = 1:
% 1.52/1.68 pppp8-{F}(V0) | empty-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #38: input, references = 4, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #39: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp9-{F}(V0) | function-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #40: input, references = 5, size of lhs = 1:
% 1.52/1.68 pppp9-{F}(V0) | empty-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #41: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp9-{F}(V0) | relation-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #42: input, references = 3, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #43: input, references = 3, size of lhs = 2:
% 1.52/1.68 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #44: input, references = 3, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #45: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp11-{F}(V0) | one_to_one-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #46: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp11-{F}(V0) | function-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #47: input, references = 3, size of lhs = 1:
% 1.52/1.68 pppp11-{F}(V0) | relation-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #48: input, references = 4, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #49: input, references = 3, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #50: input, references = 4, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #51: input, references = 6, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #52: input, references = 8, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #53: input, references = 6, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #54: input, references = 5, size of lhs = 2:
% 1.52/1.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #55: input, references = 6, size of lhs = 2:
% 1.52/1.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #56: input, references = 10, size of lhs = 2:
% 1.52/1.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #57: input, references = 3, size of lhs = 1:
% 1.52/1.68 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #58: input, references = 6, size of lhs = 1:
% 1.52/1.68 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #59: input, references = 4, size of lhs = 1:
% 1.52/1.68 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #60: input, references = 5, size of lhs = 1:
% 1.52/1.68 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #61: input, references = 4, size of lhs = 0:
% 1.52/1.68 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 number of initial rules = 62
% 1.52/1.68
% 1.52/1.68 Simplifiers:
% 1.52/1.68 #62: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #63: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #64: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #65: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #66: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #67: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #68: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #69: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #70: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #71: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #72: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #73: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #74: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #75: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #76: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #77: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #78: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #79: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #80: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #81: unsound, references = 3, size of lhs = 3:
% 1.52/1.68 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 number of simplifiers = 20
% 1.52/1.68
% 1.52/1.68 Learnt:
% 1.52/1.68 #83: exists( #55, #22 ), references = 1, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #89: mergings( V0 == V2; #86 ), references = 1, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #91: mergings( V0 == V2; #87 ), references = 1, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #93: exists( #56, #12 ), references = 3, size of lhs = 3:
% 1.52/1.68 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #96: exists( #55, #48 ), references = 3, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #97: exists( #55, #13 ), references = 4, size of lhs = 4:
% 1.52/1.68 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | P_set_union2-{T}(V2,V3,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #104: mergings( V0 == V2; #101 ), references = 1, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #106: mergings( V0 == V2; #102 ), references = 1, size of lhs = 2:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #113: exists( #60, #111 ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V0), P_relation_field-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #115: exists( #55, #4 ), references = 1, size of lhs = 1:
% 1.52/1.68 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #127: mergings( V4 == V5; #124 ), references = 2, size of lhs = 5:
% 1.52/1.68 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #129: mergings( V4 == V5; #125 ), references = 1, size of lhs = 6:
% 1.52/1.68 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4) | P_relation_rng-{T}(V0,V4)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #132: exists( #54, #12 ), references = 3, size of lhs = 3:
% 1.52/1.68 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #143: mergings( V0 == V3; #139 ), references = 3, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #146: mergings( V0 == V3, V2 == V3; #140 ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #149: mergings( V0 == V3, V2 == V3; #141 ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #153: exists( #54, #3 ), references = 3, size of lhs = 1:
% 1.52/1.68 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #171: disj( #8, #7+#7+#0 ), references = 1, size of lhs = 5:
% 1.52/1.68 P_ordered_pair-{F}(V0,V0,V1), in-{F}(V0,V2), P_ordered_pair-{F}(V1,V1,V3), in-{F}(V4,V3), pppp0-{F}(V4,V5) | pppp12-{T}(V5,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #172: disj( #8, #7+#7+#52 ), references = 1, size of lhs = 6:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V4), P_ordered_pair-{F}(V3,V3,V5), P_ordered_pair-{F}(V5,V5,V6) | pppp12-{T}(V2,V4)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #185: disj( #29, input ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), pppp4-{F}(V1), reflexive-{F}(V1), P_relation_field-{F}(V1,V2) | pppp13-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #208: disj( #8, #7+#0 ), references = 1, size of lhs = 2:
% 1.52/1.68 P_ordered_pair-{F}(V0,V0,V1), in-{F}(V0,V2) | pppp12-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #228: exists( #56, #223 ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #229: exists( #56, #225 ), references = 2, size of lhs = 3:
% 1.52/1.68 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp2-{F}(V0,V3,V2) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #234: mergings( V2 == V3; #232 ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), V2 == V0 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #239: mergings( V2 == V3; #237 ), references = 2, size of lhs = 6:
% 1.52/1.68 pppp4-{F}(V0), relation-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), V1 == V2 | pppp1-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #242: disj( #8, mergings( V2 == V3; #232 ) ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2, V2 == V0 | pppp12-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #244: mergings( V1 == V2; #241 ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V0) | pppp12-{T}(V1,V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #260: disj( #26, #28+#0 ), references = 1, size of lhs = 5:
% 1.52/1.68 pppp4-{F}(V0), P_empty_set-{F}(V1), P_relation_field-{F}(V0,V2), P_ordered_pair-{F}(V3,V3,V0), in-{F}(V3,V2) | reflexive-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #280: exists( #56, #278 ), references = 1, size of lhs = 3:
% 1.52/1.68 pppp0-{F}(V0,V1), pppp2-{F}(V0,V2,V3), pppp6-{F}(V4,V3,V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #292: exists( #56, #290 ), references = 1, size of lhs = 3:
% 1.52/1.68 pppp0-{F}(V0,V1), pppp6-{F}(V2,V3,V1), pppp6-{F}(V0,V3,V4) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #294: exists( #30, #291 ), references = 2, size of lhs = 2:
% 1.52/1.68 pppp13-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #296: disj( #29, exists( #30, #291 ) ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2) | pppp1-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #312: mergings( V3 == V9; #309 ), references = 1, size of lhs = 9:
% 1.52/1.68 pppp1-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), in-{F}(V2,V1), P_singleton-{F}(V2,V3), P_unordered_pair-{F}(V2,V2,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V5,V6,V3), P_empty_set-{F}(V7) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #313: exists( #56, #308 ), references = 1, size of lhs = 9:
% 1.52/1.68 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V3,V5), P_singleton-{F}(V6,V5), P_unordered_pair-{F}(V6,V7,V4), pppp2-{F}(V1,V8,V3) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #319: mergings( V2 == V5; #316 ), references = 3, size of lhs = 5:
% 1.52/1.68 pppp1-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), in-{F}(V2,V1), P_empty_set-{F}(V3) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #320: exists( #56, #315 ), references = 2, size of lhs = 5:
% 1.52/1.68 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V1,V4,V3) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #332: mergings( V2 == V4; #330 ), references = 1, size of lhs = 5:
% 1.52/1.68 pppp1-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), V1 == V2 | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #337: mergings( V2 == V3, V3 == V4; #334 ), references = 1, size of lhs = 4:
% 1.52/1.68 pppp4-{F}(V0), relation-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_field-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #343: disj( #26, #338+#14+#5+#294 ), references = 3, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), pppp4-{F}(V1), relation-{F}(V1), P_relation_field-{F}(V1,V2) | pppp1-{T}(V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #349: disj( #8, #6+#15+#25 ), references = 2, size of lhs = 4:
% 1.52/1.68 relation-{F}(V0), pppp4-{F}(V0), pppp1-{F}(V0), P_relation_field-{F}(V0,V1) | pppp12-{T}(V0,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #355: mergings( V2 == V4; #353 ), references = 1, size of lhs = 4:
% 1.52/1.68 empty-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_field-{F}(V2,V0) | P_relation_dom-{T}(V2,V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #368: disj( #8, exists( #56, #225 ) ), references = 1, size of lhs = 2:
% 1.52/1.68 in-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp12-{T}(V2,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #375: exists( #56, #369 ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1,V3) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #377: mergings( V3 == V4; #373 ), references = 1, size of lhs = 5:
% 1.52/1.68 pppp1-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V1), pppp2-{F}(V2,V1,V3) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #378: exists( #56, #371 ), references = 1, size of lhs = 5:
% 1.52/1.68 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), pppp2-{F}(V3,V2,V4), pppp2-{F}(V1,V5,V4) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #382: exists( #9, #372 ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V2,V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #383: exists( #9, #374 ), references = 2, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp12-{F}(V1,V2), P_relation_field-{F}(V1,V2) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #385: mergings( V1 == V4; #380 ), references = 1, size of lhs = 5:
% 1.52/1.68 pppp1-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V1), pppp12-{F}(V2,V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #408: disj( #8, exists( #9, #372 ) ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V2,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #436: exists( #58, #434 ), references = 2, size of lhs = 4:
% 1.52/1.68 relation-{F}(V0), pppp4-{F}(V0), pppp1-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #438: disj( #26, exists( #58, #434 ) ), references = 1, size of lhs = 3:
% 1.52/1.68 relation-{F}(V0), pppp4-{F}(V0), P_empty_set-{F}(V1) | reflexive-{T}(V0)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #443: disj( #8, #7+#0 ), references = 1, size of lhs = 3:
% 1.52/1.68 in-{F}(V0,V1), P_ordered_pair-{F}(V0,V0,V2), in-{F}(V3,V2) | pppp12-{T}(V3,V1)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #447: mergings( V2 == V4, V0 == V3; #444 ), references = 1, size of lhs = 3:
% 1.52/1.68 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_relation_field-{F}(V1,V2) | pppp13-{T}(V1,V2)
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #453: exists( #58, #448 ), references = 1, size of lhs = 4:
% 1.52/1.68 P_empty_set-{F}(V0), relation-{F}(V1), pppp4-{F}(V1), reflexive-{F}(V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #455: mergings( V2 == V3; #452 ), references = 1, size of lhs = 3:
% 1.52/1.68 relation-{F}(V0), pppp4-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #465: mergings( V0 == V2, V2 == V3; #461 ), references = 1, size of lhs = 1:
% 1.52/1.68 P_empty_set-{F}(V0) | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 #468: exists( #61, #461 ), references = 1, size of lhs = 0:
% 1.52/1.68 FALSE | FALSE
% 1.52/1.68 (used 0 times, uses = {})
% 1.52/1.68
% 1.52/1.68 number of learnt formulas = 57
% 1.52/1.68
% 1.52/1.68
% 1.52/1.68 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.68
% 1.52/1.68 randbase = 1
%------------------------------------------------------------------------------