%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:17:38 EDT 2022
% Result : Theorem 2.88s 3.14s
% Output : Refutation 2.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU255+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 : n004.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 18:41:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.88/3.14 GeoParameters:
% 2.88/3.14
% 2.88/3.14 tptp_input = 1
% 2.88/3.14 tptp_output = 0
% 2.88/3.14 nonempty = 1
% 2.88/3.14 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.88/3.14 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.88/3.14
% 2.88/3.14
% 2.88/3.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.88/3.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.88/3.14
% 2.88/3.14 RuleSystem INPUT:
% 2.88/3.14
% 2.88/3.14 Initial Rules:
% 2.88/3.14 #0: input, references = 7, size of lhs = 2:
% 2.88/3.14 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #1: input, references = 3, size of lhs = 1:
% 2.88/3.14 empty-{F}(V0) | function-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #2: input, references = 3, size of lhs = 3:
% 2.88/3.14 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #3: input, references = 4, size of lhs = 3:
% 2.88/3.14 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #4: input, references = 5, size of lhs = 3:
% 2.88/3.14 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #5: input, references = 5, size of lhs = 5:
% 2.88/3.14 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
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #6: input, references = 5, size of lhs = 5:
% 2.88/3.14 relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V1,V3), P_set_intersection2-{F}(V0,V3,V4), V2 == V4 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #7: input, references = 4, size of lhs = 2:
% 2.88/3.14 relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2) | relation-{T}(V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #8: input, references = 3, size of lhs = 1:
% 2.88/3.14 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #9: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #10: input, references = 3, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #11: input, references = 3, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #12: input, references = 4, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #13: input, references = 4, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), antisymmetric-{F}(V1) | pppp0-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #14: input, references = 5, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), pppp0-{F}(V1) | antisymmetric-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #15: input, references = 4, size of lhs = 7:
% 2.88/3.14 P_empty_set-{F}(V0), pppp0-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5), in-{F}(V4,V1), in-{F}(V5,V1), V2 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #16: input, references = 6, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp12-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #17: input, references = 4, size of lhs = 1:
% 2.88/3.14 pppp12-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #18: input, references = 4, size of lhs = 1:
% 2.88/3.14 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #19: input, references = 4, size of lhs = 3:
% 2.88/3.14 pppp3-{F}(V0,V2,V2), P_ordered_pair-{F}(V2,V2,V3), P_ordered_pair-{F}(V2,V2,V4) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #20: input, references = 6, size of lhs = 3:
% 2.88/3.14 pppp3-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | in-{T}(V4,V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #21: input, references = 6, size of lhs = 3:
% 2.88/3.14 pppp3-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | in-{T}(V3,V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #22: input, references = 3, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #23: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp5-{F}(V0) | function-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #24: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp5-{F}(V0) | relation-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #25: input, references = 4, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #26: input, references = 5, size of lhs = 1:
% 2.88/3.14 pppp6-{F}(V0) | empty-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #27: input, references = 4, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #28: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp7-{F}(V0) | function-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #29: input, references = 5, size of lhs = 1:
% 2.88/3.14 pppp7-{F}(V0) | empty-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #30: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp7-{F}(V0) | relation-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #31: input, references = 3, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #32: input, references = 3, size of lhs = 2:
% 2.88/3.14 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #33: input, references = 3, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #34: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #35: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp9-{F}(V0) | function-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #36: input, references = 3, size of lhs = 1:
% 2.88/3.14 pppp9-{F}(V0) | relation-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #37: input, references = 7, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_restriction-{F}(V1,V2,V4), in-{F}(V3,V4) | pppp1-{T}(V3,V2,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #38: input, references = 4, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_restriction-{F}(V1,V2,V4), pppp1-{F}(V3,V2,V1) | in-{T}(V3,V4)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #39: input, references = 9, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V2,V4), pppp1-{F}(V1,V2,V3) | in-{T}(V1,V3)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #40: input, references = 4, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V2,V4), pppp1-{F}(V1,V2,V3) | in-{T}(V1,V4)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #41: input, references = 4, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V2,V4), in-{F}(V1,V3), in-{F}(V1,V4) | pppp1-{T}(V1,V2,V3)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #42: input, references = 3, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #43: input, references = 4, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #44: input, references = 5, size of lhs = 1:
% 2.88/3.14 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #45: input, references = 4, size of lhs = 1:
% 2.88/3.14 pppp11-{F}(V0) | antisymmetric-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #46: input, references = 4, size of lhs = 1:
% 2.88/3.14 pppp11-{F}(V0) | relation-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #47: input, references = 6, size of lhs = 3:
% 2.88/3.14 pppp10-{F}(V0,V1), P_relation_restriction-{F}(V0,V1,V2), antisymmetric-{F}(V2) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #48: input, references = 4, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #49: input, references = 4, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #50: input, references = 5, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #51: input, references = 3, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #52: input, references = 5, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #53: input, references = 7, size of lhs = 2:
% 2.88/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #54: input, references = 6, size of lhs = 2:
% 2.88/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #55: input, references = 9, size of lhs = 2:
% 2.88/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #56: input, references = 5, size of lhs = 1:
% 2.88/3.14 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #57: input, references = 6, size of lhs = 2:
% 2.88/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_restriction-{T}(V0,V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #58: input, references = 9, size of lhs = 2:
% 2.88/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #59: input, references = 4, size of lhs = 0:
% 2.88/3.14 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 number of initial rules = 60
% 2.88/3.14
% 2.88/3.14 Simplifiers:
% 2.88/3.14 #60: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #61: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #62: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #63: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #64: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_relation_restriction-{F}(V0,V1,V2), P_relation_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #65: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #66: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #67: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #68: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #69: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #70: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #71: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #72: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #73: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #74: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #75: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #76: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #77: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #78: unsound, references = 3, size of lhs = 3:
% 2.88/3.14 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 number of simplifiers = 19
% 2.88/3.14
% 2.88/3.14 Learnt:
% 2.88/3.14 #80: exists( #55, #5 ), references = 3, size of lhs = 3:
% 2.88/3.14 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)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #82: exists( #54, #12 ), references = 1, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #89: mergings( V0 == V2; #86 ), references = 1, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #91: mergings( V0 == V2; #87 ), references = 1, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #93: exists( #53, #5 ), references = 2, size of lhs = 3:
% 2.88/3.14 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)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #100: mergings( V0 == V2; #97 ), references = 1, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #102: mergings( V0 == V2; #98 ), references = 1, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #106: exists( #54, #48 ), references = 2, size of lhs = 2:
% 2.88/3.14 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #107: exists( #54, #6 ), references = 2, size of lhs = 3:
% 2.88/3.14 relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V1,V3) | P_set_intersection2-{T}(V0,V3,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #113: exists( #54, #4 ), references = 1, size of lhs = 1:
% 2.88/3.14 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #118: exists( #53, #3 ), references = 1, size of lhs = 1:
% 2.88/3.14 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #122: exists( #58, #120 ), references = 1, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), V0 == V2 | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #124: exists( #57, #121 ), references = 2, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V0), #-{F} V1 | P_relation_restriction-{T}(V0,V1,V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #128: mergings( V0 == V3; #125 ), references = 1, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #131: mergings( V0 == V3, V2 == V3; #126 ), references = 1, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #138: exists( #44, #136 ), references = 1, size of lhs = 4:
% 2.88/3.14 pppp11-{F}(V0), P_empty_set-{F}(V0), relation-{F}(V0), antisymmetric-{F}(V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #145: exists( #57, #6 ), references = 1, size of lhs = 3:
% 2.88/3.14 relation-{F}(V0), P_cartesian_product2-{F}(V1,V1,V2), P_set_intersection2-{F}(V0,V2,V3) | P_relation_restriction-{T}(V0,V1,V3)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #161: mergings( V0 == V2; #159 ), references = 1, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), pppp10-{F}(V2,V3), P_relation_restriction-{F}(V2,V3,V1) | pppp12-{T}(V1)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #173: exists( #53, #171 ), references = 1, size of lhs = 4:
% 2.88/3.14 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V0,V4), pppp3-{F}(V4,V2,V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #175: exists( #56, #172 ), references = 1, size of lhs = 3:
% 2.88/3.14 P_unordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V3,V1,V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #181: exists( #58, #179 ), references = 3, size of lhs = 3:
% 2.88/3.14 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V2,V3,V1) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #190: mergings( V2 == V3, V3 == V5; #187 ), references = 2, size of lhs = 5:
% 2.88/3.14 relation-{F}(V0), P_empty_set-{F}(V1), in-{F}(V0,V2), pppp1-{F}(V2,V3,V4), P_relation_restriction-{F}(V0,V5,V4) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #199: mergings( V2 == V3, V3 == V4; #196 ), references = 2, size of lhs = 5:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), in-{F}(V2,V1), P_relation_restriction-{F}(V1,V3,V2), pppp1-{F}(V2,V3,V4) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #208: mergings( V2 == V3, V3 == V4, V4 == V5; #204 ), references = 1, size of lhs = 7:
% 2.88/3.14 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_restriction-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V2,V4), P_relation_restriction-{F}(V1,V5,V6), pppp1-{F}(V6,V7,V3), pppp1-{F}(V6,V5,V8) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #245: exists( #55, #241 ), references = 1, size of lhs = 3:
% 2.88/3.14 in-{F}(V0,V1), pppp3-{F}(V0,V2,V3), P_ordered_pair-{F}(V3,V2,V1) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #246: exists( #55, #242 ), references = 1, size of lhs = 4:
% 2.88/3.14 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), P_ordered_pair-{F}(V3,V2,V4), pppp1-{F}(V1,V5,V4) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #255: exists( #55, #251 ), references = 1, size of lhs = 6:
% 2.88/3.14 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), pppp1-{F}(V4,V5,V3), pppp3-{F}(V4,V6,V7), P_ordered_pair-{F}(V6,V7,V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #297: mergings( V16 == V12, V3 == V4, V4 == V6, V6 == V7, V7 == V8; #291 ), references = 1, size of lhs = 11:
% 2.88/3.14 relation-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V2,V4), pppp3-{F}(V3,V5,V6), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), pppp3-{F}(V8,V5,V6), P_relation_restriction-{F}(V0,V9,V8), P_cartesian_product2-{F}(V9,V9,V10) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #303: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8; #298 ), references = 1, size of lhs = 10:
% 2.88/3.14 relation-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V2,V4), pppp3-{F}(V3,V5,V6), V5 == V6, pppp3-{F}(V7,V5,V6), P_relation_restriction-{F}(V0,V8,V7), P_cartesian_product2-{F}(V8,V8,V9) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #309: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8; #304 ), references = 2, size of lhs = 8:
% 2.88/3.14 relation-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), pppp4-{F}(V3,V4), P_cartesian_product2-{F}(V2,V2,V5), P_relation_restriction-{F}(V0,V6,V3), P_cartesian_product2-{F}(V6,V6,V7) | pppp3-{T}(V3,V4,V4)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #315: mergings( V0 == V2; #313 ), references = 1, size of lhs = 6:
% 2.88/3.14 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V1), V4 == V5, P_ordered_pair-{F}(V5,V4,V3) | pppp12-{T}(V2)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #320: exists( #55, #318 ), references = 1, size of lhs = 5:
% 2.88/3.14 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), pppp3-{F}(V3,V2,V2), P_unordered_pair-{F}(V2,V2,V4), P_unordered_pair-{F}(V0,V5,V4) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #322: exists( #53, #319 ), references = 1, size of lhs = 2:
% 2.88/3.14 pppp3-{F}(V0,V1,V1), P_singleton-{F}(V1,V2) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #324: exists( #56, #321 ), references = 1, size of lhs = 1:
% 2.88/3.14 pppp3-{F}(V0,V1,V1) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #327: exists( #17, #325 ), references = 1, size of lhs = 8:
% 2.88/3.14 pppp12-{F}(V0), relation-{F}(V1), pppp0-{F}(V1), P_empty_set-{F}(V2), P_relation_restriction-{F}(V1,V3,V0), P_cartesian_product2-{F}(V3,V3,V4), P_relation_restriction-{F}(V1,V5,V0), P_cartesian_product2-{F}(V5,V5,V6) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #329: exists( #58, #326 ), references = 1, size of lhs = 5:
% 2.88/3.14 pppp12-{F}(V0), relation-{F}(V1), pppp0-{F}(V1), P_empty_set-{F}(V2), P_relation_restriction-{F}(V1,V3,V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #339: mergings( V0 == V3; #336 ), references = 2, size of lhs = 4:
% 2.88/3.14 relation-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3) | pppp0-{T}(V3)
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #348: mergings( V3 == V4; #345 ), references = 1, size of lhs = 4:
% 2.88/3.14 relation-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V1), pppp10-{F}(V0,V2) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #352: mergings( V2 == V3; #349 ), references = 2, size of lhs = 4:
% 2.88/3.14 pppp11-{F}(V0), relation-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #363: mergings( V0 == V2, V2 == V3; #360 ), references = 1, size of lhs = 1:
% 2.88/3.14 P_empty_set-{F}(V0) | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 #365: exists( #59, #360 ), references = 1, size of lhs = 0:
% 2.88/3.14 FALSE | FALSE
% 2.88/3.14 (used 0 times, uses = {})
% 2.88/3.14
% 2.88/3.14 number of learnt formulas = 41
% 2.88/3.14
% 2.88/3.14
% 2.88/3.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.88/3.14
% 2.88/3.14 randbase = 1
%------------------------------------------------------------------------------