%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU245+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:17:37 EDT 2022
% Result : Theorem 60.00s 60.17s
% Output : Refutation 60.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU245+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 19:31:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 60.00/60.17 GeoParameters:
% 60.00/60.17
% 60.00/60.17 tptp_input = 1
% 60.00/60.17 tptp_output = 0
% 60.00/60.17 nonempty = 1
% 60.00/60.17 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.00/60.17 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 60.00/60.17
% 60.00/60.17
% 60.00/60.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.00/60.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.00/60.17
% 60.00/60.17 RuleSystem INPUT:
% 60.00/60.17
% 60.00/60.17 Initial Rules:
% 60.00/60.17 #0: input, references = 3, size of lhs = 0:
% 60.00/60.17 FALSE | EXISTS V0: pppp3-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp3-{F}(V0) | one_to_one-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #2: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp3-{F}(V0) | function-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp3-{F}(V0) | relation-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #4: input, references = 3, size of lhs = 0:
% 60.00/60.17 FALSE | EXISTS V0: pppp4-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #5: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp4-{F}(V0) | function-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #6: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp4-{F}(V0) | relation-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #7: input, references = 3, size of lhs = 0:
% 60.00/60.17 FALSE | EXISTS V0: pppp5-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #8: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp5-{F}(V0) | function-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #9: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp5-{F}(V0) | empty-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #10: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp5-{F}(V0) | relation-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #11: input, references = 3, size of lhs = 3:
% 60.00/60.17 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #12: input, references = 3, size of lhs = 1:
% 60.00/60.17 P_empty_set-{F}(V0) | empty-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #13: input, references = 4, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #14: input, references = 3, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp6-{T}(V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #15: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #16: input, references = 3, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #17: input, references = 3, size of lhs = 1:
% 60.00/60.17 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #18: input, references = 3, size of lhs = 1:
% 60.00/60.17 pppp7-{F}(V0) | empty-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #19: input, references = 3, size of lhs = 1:
% 60.00/60.17 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #20: input, references = 3, size of lhs = 2:
% 60.00/60.17 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #21: input, references = 6, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #22: input, references = 3, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #23: input, references = 3, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #24: input, references = 6, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #25: input, references = 4, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #26: input, references = 7, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #27: input, references = 3, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #28: input, references = 3, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #29: input, references = 6, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #30: input, references = 5, size of lhs = 6:
% 60.00/60.17 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_restriction-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V2,V4), P_set_intersection2-{F}(V1,V4,V5), V3 == V5 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #31: input, references = 4, size of lhs = 1:
% 60.00/60.17 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #32: input, references = 4, size of lhs = 1:
% 60.00/60.17 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #33: input, references = 4, size of lhs = 1:
% 60.00/60.17 pppp11-{F}(V0) | relation-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #34: input, references = 5, size of lhs = 1:
% 60.00/60.17 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #35: input, references = 8, size of lhs = 4:
% 60.00/60.17 pppp9-{F}(V0,V1,V2), P_relation_restriction-{F}(V2,V1,V3), pppp0-{F}(V0,V1,V2), in-{F}(V0,V3) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #36: input, references = 11, size of lhs = 2:
% 60.00/60.17 pppp9-{F}(V0,V1,V2), P_relation_restriction-{F}(V2,V1,V3) | in-{T}(V0,V3), pppp0-{T}(V0,V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #37: input, references = 8, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V2,V4), pppp0-{F}(V1,V2,V3) | in-{T}(V1,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #38: input, references = 6, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V2,V4), pppp0-{F}(V1,V2,V3) | in-{T}(V1,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #39: input, references = 5, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V2,V4), in-{F}(V1,V3), in-{F}(V1,V4) | pppp0-{T}(V1,V2,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #40: input, references = 18, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp2-{T}(V1,V2,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #41: input, references = 3, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp2-{F}(V1,V2,V3), V3 == V4 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #42: input, references = 14, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp1-{T}(V1,V2,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #43: input, references = 5, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), pppp1-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #44: input, references = 4, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp2-{T}(V1,V2,V3), pppp13-{T}(V1,V2,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #45: input, references = 4, size of lhs = 1:
% 60.00/60.17 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V1,V2,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #46: input, references = 9, size of lhs = 3:
% 60.00/60.17 pppp12-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #47: input, references = 9, size of lhs = 1:
% 60.00/60.17 pppp12-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #48: input, references = 17, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #49: input, references = 8, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #50: input, references = 6, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp1-{T}(V1,V2,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #51: input, references = 4, size of lhs = 0:
% 60.00/60.17 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #52: input, references = 8, size of lhs = 2:
% 60.00/60.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #53: input, references = 9, size of lhs = 2:
% 60.00/60.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_restriction-{T}(V0,V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #54: input, references = 12, size of lhs = 2:
% 60.00/60.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 number of initial rules = 55
% 60.00/60.17
% 60.00/60.17 Simplifiers:
% 60.00/60.17 #55: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #56: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #57: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 P_relation_restriction-{F}(V0,V1,V2), P_relation_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #58: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #59: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #60: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #61: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #62: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #63: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #64: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #65: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V1,V2), V0 == V3 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #66: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V2), V1 == V4 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #67: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #68: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #69: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #70: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #71: unsound, references = 3, size of lhs = 3:
% 60.00/60.17 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 number of simplifiers = 17
% 60.00/60.17
% 60.00/60.17 Learnt:
% 60.00/60.17 #73: exists( #52, #30 ), references = 17, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_restriction-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V2,V4) | P_set_intersection2-{T}(V1,V4,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #75: exists( #52, #13 ), references = 2, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #81: mergings( V2 == V3, V3 == V4; #78 ), references = 1, size of lhs = 4:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), V2 == V0 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #85: mergings( V0 == V3, V3 == V4; #82 ), references = 1, size of lhs = 3:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V0), #-{F} V1 | P_relation_restriction-{T}(V0,V1,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #88: exists( #52, #24 ), references = 4, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V2,V1,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #90: exists( #52, #25 ), references = 1, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #93: mergings( V0 == V4; #91 ), references = 2, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp13-{T}(V1,V2,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #101: mergings( V3 == V4; #97 ), references = 1, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), pppp12-{F}(V1,V2,V3,V1) | in-{T}(V1,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #102: disj( #47, #48+#46 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), pppp12-{F}(V1,V2,V1,V3), pppp12-{F}(V1,V2,V4,V3) | in-{T}(V3,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #104: mergings( V4 == V5; #99 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #118: disj( #36, input ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3), P_relation_restriction-{F}(V3,V2,V1) | pppp0-{T}(V1,V2,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #134: exists( #53, #30 ), references = 1, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), relation-{F}(V1), P_cartesian_product2-{F}(V2,V2,V3), P_set_intersection2-{F}(V1,V3,V4) | P_relation_restriction-{T}(V1,V2,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #152: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #147 ), references = 1, size of lhs = 5:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), in-{F}(V0,V2), in-{F}(V2,V3), P_relation_restriction-{F}(V0,V4,V3) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #175: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #169 ), references = 1, size of lhs = 7:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V2,V2,V0), P_relation_restriction-{F}(V0,V2,V0), pppp9-{F}(V3,V2,V0), in-{F}(V3,V4), P_relation_restriction-{F}(V0,V5,V4) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #182: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #170 ), references = 3, size of lhs = 7:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V3,V0,V2), in-{F}(V4,V3), in-{F}(V4,V5), P_relation_restriction-{F}(V0,V6,V5) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #223: mergings( V4 == V2, V6 == V1, V2 == V3; #217 ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V2,V2,V0), P_relation_restriction-{F}(V0,V2,V0), pppp9-{F}(V3,V2,V0), P_relation_restriction-{F}(V0,V4,V0) | pppp0-{T}(V3,V2,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #224: disj( #36, input ), references = 1, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp9-{F}(V2,V3,V4), P_relation_restriction-{F}(V4,V3,V1) | pppp0-{T}(V2,V3,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #234: mergings( V3 == V4, V0 == V6, V6 == V7; #229 ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), pppp10-{F}(V0,V1), P_cartesian_product2-{F}(V1,V1,V0), P_relation_restriction-{F}(V0,V1,V0), P_empty_set-{F}(V2), P_relation_restriction-{F}(V0,V3,V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #237: disj( #47, input ), references = 1, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), pppp12-{F}(V1,V2,V3,V3) | pppp1-{T}(V1,V2,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #255: disj( #47, #49+#46 ), references = 2, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), pppp12-{F}(V1,V2,V2,V3), pppp12-{F}(V1,V2,V4,V3) | in-{T}(V3,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #257: mergings( V4 == V5; #253 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #260: mergings( V4 == V5, V5 == V7; #254 ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V3,V0,V2), P_relation_restriction-{F}(V0,V4,V5), pppp12-{F}(V5,V3,V6,V7) | in-{T}(V7,V6)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #271: mergings( V0 == V2; #268 ), references = 1, size of lhs = 2:
% 60.00/60.17 element-{F}(V0,V0), P_empty_set-{F}(V1) | empty-{T}(V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #499: disj( #47, input ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V2,V3,V1,V4) | pppp1-{T}(V2,V3,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #500: disj( #47, mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #170 ) ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V3,V0,V2), P_relation_restriction-{F}(V0,V4,V3), pppp12-{F}(V5,V6,V3,V7) | pppp1-{T}(V5,V6,V7)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #501: disj( #47, input ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp12-{F}(V3,V4,V1,V2) | pppp1-{T}(V3,V4,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #814: mergings( V3 == V4, V4 == V5, V5 == V6; #810 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), pppp13-{F}(V1,V2,V2), pppp2-{F}(V1,V3,V2) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #821: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #816 ), references = 2, size of lhs = 2:
% 60.00/60.17 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V1,V3,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #936: mergings( V0 == V3; #934 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), element-{F}(V1,V2), in-{F}(V2,V1) | empty-{T}(V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #989: mergings( V0 == V3; #985 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #992: mergings( V0 == V3, V2 == V3; #986 ), references = 1, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #995: mergings( V0 == V3, V2 == V3; #987 ), references = 1, size of lhs = 3:
% 60.00/60.17 P_empty_set-{F}(V0), element-{F}(V1,V0), in-{F}(V2,V0) | in-{T}(V1,V0)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1223: mergings( V5 == V3; #1220 ), references = 1, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V1,V2), P_relation_restriction-{F}(V3,V1,V2), pppp9-{F}(V4,V1,V3) | in-{T}(V4,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1502: disj( #36, mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #170 ) ), references = 1, size of lhs = 8:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V3,V0,V2), in-{F}(V4,V3), pppp9-{F}(V4,V5,V6), P_relation_restriction-{F}(V6,V5,V7), P_relation_restriction-{F}(V0,V8,V7) | pppp0-{T}(V4,V5,V6)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1576: mergings( V4 == V5; #1574 ), references = 4, size of lhs = 6:
% 60.00/60.17 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), P_relation_restriction-{F}(V4,V5,V3), pppp9-{F}(V6,V5,V4), pppp12-{F}(V7,V8,V1,V6), pppp1-{F}(V7,V8,V6) | pppp0-{T}(V6,V5,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1627: mergings( V4 == V5, V5 == V6, V7 == V2, V8 == V1; #1622 ), references = 1, size of lhs = 6:
% 60.00/60.17 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp9-{F}(V1,V3,V2), P_cartesian_product2-{F}(V3,V3,V4), P_relation_restriction-{F}(V2,V3,V5), pppp2-{F}(V4,V6,V5) | pppp0-{T}(V1,V3,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1646: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1636 ), references = 3, size of lhs = 5:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V0), pppp9-{F}(V2,V3,V0), P_cartesian_product2-{F}(V3,V3,V4) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1657: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1647 ), references = 5, size of lhs = 4:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V0), pppp9-{F}(V2,V3,V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1747: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #1740 ), references = 1, size of lhs = 8:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V2,V2,V3), pppp9-{F}(V4,V2,V0), pppp12-{F}(V5,V6,V0,V4), pppp1-{F}(V5,V6,V4), pppp12-{F}(V7,V8,V0,V4), pppp1-{F}(V7,V8,V4) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1754: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9, V1 == V11; #1741 ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V2,V2,V3), pppp9-{F}(V4,V2,V0), pppp12-{F}(V5,V6,V0,V4), pppp1-{F}(V5,V6,V4) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #1762: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7; #1757 ), references = 1, size of lhs = 5:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), pppp9-{F}(V2,V3,V0), pppp12-{F}(V4,V5,V0,V2), pppp1-{F}(V4,V5,V2) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #2045: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9; #2038 ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_restriction-{F}(V1,V3,V0), P_relation_restriction-{F}(V0,V3,V4), V4 == V0 | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #2056: mergings( V2 == V4, V4 == V5, V5 == V6; #2052 ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), in-{F}(V4,V3), pppp12-{F}(V5,V6,V0,V4), pppp1-{F}(V5,V6,V4) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #2109: disj( #47, mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1647 ) ), references = 1, size of lhs = 4:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), pppp9-{F}(V2,V3,V0), pppp12-{F}(V4,V5,V0,V2) | pppp1-{T}(V4,V5,V2)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #2510: mergings( V4 == V5; #2507 ), references = 1, size of lhs = 4:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), pppp9-{F}(V2,V3,V0), pppp12-{F}(V0,V4,V5,V2) | in-{T}(V2,V5)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #2849: disj( #36, mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #147 ) ), references = 1, size of lhs = 6:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), in-{F}(V0,V2), pppp9-{F}(V2,V3,V4), P_relation_restriction-{F}(V4,V3,V5), P_relation_restriction-{F}(V0,V6,V5) | pppp0-{T}(V2,V3,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3033: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11; #3025 ), references = 1, size of lhs = 9:
% 60.00/60.17 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_restriction-{F}(V1,V4,V3), P_relation_restriction-{F}(V0,V4,V5), in-{F}(V6,V5), in-{F}(V6,V7), P_relation_restriction-{F}(V1,V8,V7) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3057: mergings( V4 == V5; #3053 ), references = 1, size of lhs = 4:
% 60.00/60.17 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V1,V2), pppp9-{F}(V2,V1,V3), P_relation_restriction-{F}(V3,V1,V4) | in-{T}(V2,V4)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3060: mergings( V4 == V5, V1 == V7; #3054 ), references = 3, size of lhs = 5:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V2,V4), pppp9-{F}(V5,V2,V0) | in-{T}(V5,V3)
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3085: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3076 ), references = 1, size of lhs = 4:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V2,V2,V3), pppp9-{F}(V3,V2,V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3137: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V10, V1 == V12; #3128 ), references = 1, size of lhs = 4:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V2,V2,V3), pppp9-{F}(V4,V2,V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3145: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #3139 ), references = 1, size of lhs = 3:
% 60.00/60.17 relation-{F}(V0), P_empty_set-{F}(V1), pppp9-{F}(V2,V3,V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3153: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #3146 ), references = 1, size of lhs = 3:
% 60.00/60.17 relation-{F}(V0), pppp10-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3161: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #3154 ), references = 2, size of lhs = 3:
% 60.00/60.17 pppp11-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3165: mergings( V0 == V2; #3163 ), references = 1, size of lhs = 1:
% 60.00/60.17 P_empty_set-{F}(V0) | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 #3167: exists( #51, #3163 ), references = 1, size of lhs = 0:
% 60.00/60.17 FALSE | FALSE
% 60.00/60.17 (used 0 times, uses = {})
% 60.00/60.17
% 60.00/60.17 number of learnt formulas = 56
% 60.00/60.17
% 60.00/60.17
% 60.00/60.17 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.00/60.17
% 60.00/60.17 randbase = 1
%------------------------------------------------------------------------------