TSTP Solution File: SEU361+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:17:54 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 19:09:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 GeoParameters:
% 0.18/0.48
% 0.18/0.48 tptp_input = 1
% 0.18/0.48 tptp_output = 0
% 0.18/0.48 nonempty = 1
% 0.18/0.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 RuleSystem INPUT:
% 0.18/0.48
% 0.18/0.48 Initial Rules:
% 0.18/0.48 #0: input, references = 3, size of lhs = 2:
% 0.18/0.48 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #1: input, references = 3, size of lhs = 1:
% 0.18/0.48 empty-{F}(V0) | finite-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #2: input, references = 4, size of lhs = 5:
% 0.18/0.48 P_empty_set-{F}(V0), P_bottom_of_relstr-{F}(V1,V2), P_join_on_relstr-{F}(V1,V0,V3), rel_str-{F}(V1), V2 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #3: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), P_join_on_relstr-{F}(V1,V3,V4) | element-{T}(V4,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #4: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), P_bottom_of_relstr-{F}(V1,V2), P_the_carrier-{F}(V1,V3), rel_str-{F}(V1) | element-{T}(V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #5: input, references = 3, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), rel_str-{F}(V1) | one_sorted_str-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #6: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp0-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #7: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp0-{F}(V0) | rel_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #8: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #9: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp1-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: input, references = 3, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #12: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), one_sorted_str-{F}(V1), empty-{F}(V2) | empty_carrier-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #13: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #14: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #15: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp3-{F}(V0) | finite-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #16: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #17: input, references = 4, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: input, references = 5, size of lhs = 1:
% 0.18/0.48 pppp4-{F}(V0) | empty-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #19: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #20: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #22: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp6-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #23: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp6-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #24: input, references = 3, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #25: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #26: input, references = 3, size of lhs = 7:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V5,V2), P_join_on_relstr-{F}(V1,V4,V5), ex_sup_of_relstr_set-{F}(V1,V4) | relstr_set_smaller-{T}(V1,V4,V5)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #27: input, references = 4, size of lhs = 9:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V5,V2), P_join_on_relstr-{F}(V1,V4,V5), ex_sup_of_relstr_set-{F}(V1,V4), element-{F}(V6,V2), relstr_set_smaller-{F}(V1,V4,V6) | related-{T}(V1,V5,V6)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #28: input, references = 3, size of lhs = 8:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V3,V2), P_join_on_relstr-{F}(V1,V4,V5), relstr_set_smaller-{F}(V1,V4,V3), V3 == V5 | EXISTS V6: pppp7-{T}(V1,V3,V4,V6,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #29: input, references = 3, size of lhs = 7:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V3,V2), P_join_on_relstr-{F}(V1,V4,V5), relstr_set_smaller-{F}(V1,V4,V3) | pppp11-{T}(V1,V3,V4,V2), ex_sup_of_relstr_set-{T}(V1,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp11-{F}(V0,V1,V2,V3) | EXISTS V4: pppp7-{T}(V0,V1,V2,V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #31: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V1,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #32: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #33: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #34: input, references = 4, size of lhs = 5:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1) | empty_carrier-{T}(V1), ex_sup_of_relstr_set-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #35: input, references = 3, size of lhs = 5:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1) | empty_carrier-{T}(V1), ex_inf_of_relstr_set-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #36: input, references = 4, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #37: input, references = 5, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_bottom_of_relstr-{F}(V0,V2) | pppp9-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #38: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #39: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp9-{F}(V0,V1,V2) | rel_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #40: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp9-{F}(V0,V1,V2) | lower_bounded_relstr-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #41: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp9-{F}(V0,V1,V2) | antisymmetric_relstr-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #42: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp9-{F}(V0,V1,V2), empty_carrier-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #43: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3), related-{F}(V0,V3,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #44: input, references = 5, size of lhs = 1:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3) | element-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #45: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #46: input, references = 5, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), element-{F}(V3,V2) | relstr_set_smaller-{T}(V1,V0,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #47: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), element-{F}(V3,V2) | relstr_element_smaller-{T}(V1,V0,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #48: input, references = 3, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #49: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #50: input, references = 5, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_bottom_of_relstr-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #51: input, references = 4, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_join_on_relstr-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #52: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #53: input, references = 5, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 54
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 antisymmetric_relstr-{F}(V0), antisymmetric_relstr-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 ex_sup_of_relstr_set-{F}(V0,V1), ex_sup_of_relstr_set-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 ex_sup_of_relstr_set-{F}(V0,V1), ex_sup_of_relstr_set-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 relstr_set_smaller-{F}(V0,V1,V2), relstr_set_smaller-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 related-{F}(V0,V1,V2), related-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 lower_bounded_relstr-{F}(V0), lower_bounded_relstr-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 ex_inf_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 ex_inf_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 relstr_element_smaller-{F}(V0,V1,V2), relstr_element_smaller-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_bottom_of_relstr-{F}(V0,V1), P_bottom_of_relstr-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_join_on_relstr-{F}(V0,V1,V2), P_join_on_relstr-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 35
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #94: mergings( V0 == V2; #91 ), references = 1, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #96: mergings( V0 == V2; #92 ), references = 1, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #100: disj( #25, input ), references = 1, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), pppp5-{F}(V1), element-{F}(V2,V1) | in-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #102: mergings( V0 == V3; #98 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #105: mergings( V0 == V3, V2 == V3; #99 ), references = 1, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #112: exists( #51, #2 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), rel_str-{F}(V1), P_bottom_of_relstr-{F}(V1,V2) | P_join_on_relstr-{T}(V1,V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #124: mergings( V0 == V3, V2 == V4; #121 ), references = 3, size of lhs = 10:
% 0.18/0.48 lower_bounded_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_join_on_relstr-{F}(V0,V1,V3), element-{F}(V3,V2), relstr_set_smaller-{F}(V0,V1,V4), element-{F}(V4,V2), pppp8-{F}(V0,V4,V5,V3) | empty_carrier-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #139: mergings( V1 == V5, V2 == V6; #135 ), references = 1, size of lhs = 8:
% 0.18/0.48 lower_bounded_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_join_on_relstr-{F}(V0,V1,V3), element-{F}(V3,V2), pppp9-{F}(V0,V2,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #140: exists( #38, #134 ), references = 1, size of lhs = 9:
% 0.18/0.48 lower_bounded_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), pppp6-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), pppp9-{F}(V0,V2,V3), P_join_on_relstr-{F}(V0,V1,V3), element-{F}(V3,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #152: mergings( V2 == V5; #149 ), references = 1, size of lhs = 6:
% 0.18/0.48 pppp10-{F}(V0), rel_str-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_join_on_relstr-{F}(V0,V2,V1), P_empty_set-{F}(V3), P_join_on_relstr-{F}(V0,V3,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #158: mergings( V2 == V3; #155 ), references = 2, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #167: exists( #53, #165 ), references = 1, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #169: exists( #50, #166 ), references = 1, size of lhs = 2:
% 0.18/0.48 pppp10-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #172: mergings( V0 == V2; #170 ), references = 1, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #174: exists( #52, #170 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 15
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------