TSTP Solution File: SEU359+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:17:53 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 18:49:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 GeoParameters:
% 0.18/0.47
% 0.18/0.47 tptp_input = 1
% 0.18/0.47 tptp_output = 0
% 0.18/0.47 nonempty = 1
% 0.18/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 RuleSystem INPUT:
% 0.18/0.47
% 0.18/0.47 Initial Rules:
% 0.18/0.47 #0: input, references = 6, size of lhs = 5:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V4,V1), P_join_on_relstr-{F}(V0,V3,V4), ex_sup_of_relstr_set-{F}(V0,V3) | pppp0-{T}(V0,V4,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 4, size of lhs = 7:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), P_join_on_relstr-{F}(V0,V3,V4), ex_sup_of_relstr_set-{F}(V0,V3), pppp0-{F}(V0,V2,V3), V2 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_the_carrier-{F}(V0,V3), pppp0-{F}(V0,V1,V2) | relstr_set_smaller-{T}(V0,V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 6, size of lhs = 4:
% 0.18/0.47 P_the_carrier-{F}(V0,V3), pppp0-{F}(V0,V1,V2), element-{F}(V4,V3), relstr_set_smaller-{F}(V0,V2,V4) | related-{T}(V0,V1,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 5, size of lhs = 2:
% 0.18/0.47 P_the_carrier-{F}(V0,V3), relstr_set_smaller-{F}(V0,V2,V1) | pppp0-{T}(V0,V1,V2), pppp13-{T}(V0,V1,V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 6, size of lhs = 1:
% 0.18/0.47 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V1,V2,V4,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 6, size of lhs = 2:
% 0.18/0.47 pppp2-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V1,V3) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 6, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 6, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), P_join_on_relstr-{F}(V0,V2,V3) | element-{T}(V3,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #10: input, references = 3, size of lhs = 1:
% 0.18/0.47 rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #11: input, references = 3, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #12: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp3-{F}(V0) | rel_str-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #13: input, references = 3, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #14: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp4-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #15: input, references = 3, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #16: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #17: input, references = 3, size of lhs = 3:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), ex_sup_of_relstr_set-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #18: input, references = 6, size of lhs = 3:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), pppp1-{F}(V0,V1) | ex_sup_of_relstr_set-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #19: input, references = 3, size of lhs = 2:
% 0.18/0.47 P_the_carrier-{F}(V0,V2), pppp1-{F}(V0,V1) | EXISTS V3: pppp6-{T}(V0,V3,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #20: input, references = 6, size of lhs = 3:
% 0.18/0.47 P_the_carrier-{F}(V0,V2), element-{F}(V3,V2), relstr_set_smaller-{F}(V0,V1,V3) | pppp1-{T}(V0,V1), pppp14-{T}(V0,V3,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #21: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp14-{F}(V0,V1,V2,V3) | EXISTS V4: pppp7-{T}(V0,V1,V2,V4,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #22: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp7-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V1,V3) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #23: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #24: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #25: input, references = 3, size of lhs = 3:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3), element-{F}(V4,V3), relstr_set_smaller-{F}(V0,V2,V4) | related-{T}(V0,V1,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #26: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3) | relstr_set_smaller-{T}(V0,V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #27: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3) | element-{T}(V1,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #28: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: pppp12-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #29: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #30: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1) | rel_str-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #31: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1) | antisymmetric_relstr-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #32: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V3,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #33: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp11-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #34: input, references = 4, size of lhs = 3:
% 0.18/0.47 pppp10-{F}(V0,V1,V4,V3), P_join_on_relstr-{F}(V0,V1,V4), ex_sup_of_relstr_set-{F}(V0,V1) | pppp9-{T}(V0,V1,V4,V3,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #35: input, references = 5, size of lhs = 4:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3), P_join_on_relstr-{F}(V0,V1,V4), element-{F}(V5,V3), relstr_set_smaller-{F}(V0,V1,V5) | pppp9-{T}(V0,V1,V2,V3,V4), related-{T}(V0,V2,V5)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #36: input, references = 5, size of lhs = 2:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3), P_join_on_relstr-{F}(V0,V1,V4) | pppp9-{T}(V0,V1,V2,V3,V4), relstr_set_smaller-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #37: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), relstr_set_smaller-{F}(V0,V1,V2) | EXISTS V5: pppp8-{T}(V0,V1,V2,V5,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #38: input, references = 5, size of lhs = 1:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4) | ex_sup_of_relstr_set-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #39: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), V2 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #40: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V2,V3) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #41: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V1,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #42: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #43: input, references = 4, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #44: input, references = 4, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_join_on_relstr-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of initial rules = 45
% 0.18/0.47
% 0.18/0.47 Simplifiers:
% 0.18/0.47 #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 ex_sup_of_relstr_set-{F}(V0,V1), ex_sup_of_relstr_set-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 relstr_set_smaller-{F}(V0,V1,V2), relstr_set_smaller-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 related-{F}(V0,V1,V2), related-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), antisymmetric_relstr-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_join_on_relstr-{F}(V0,V1,V2), P_join_on_relstr-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V6,V2,V8,V4), V1 == V6 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V6,V7,V8,V4), V2 == V7 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V2,V3,V9), V1 == V6 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V7,V3,V9), V2 == V7 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of simplifiers = 42
% 0.18/0.47
% 0.18/0.47 Learnt:
% 0.18/0.47 #91: exists( #5, #89 ), references = 2, size of lhs = 3:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), pppp0-{F}(V0,V2,V3), pppp13-{F}(V0,V2,V3,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #97: mergings( V6 == V7, V8 == V4; #94 ), references = 2, size of lhs = 8:
% 0.18/0.47 rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp13-{F}(V0,V2,V3,V1), P_join_on_relstr-{F}(V0,V3,V2), relstr_set_smaller-{F}(V0,V3,V4), element-{F}(V4,V5), pppp10-{F}(V0,V3,V6,V5) | related-{T}(V0,V6,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #103: mergings( V1 == V4, V4 == V6; #100 ), references = 1, size of lhs = 8:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), relstr_set_smaller-{F}(V0,V3,V2), P_join_on_relstr-{F}(V0,V3,V4), element-{F}(V4,V1), pppp13-{F}(V0,V4,V3,V1) | pppp14-{T}(V0,V2,V3,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #109: mergings( V5 == V3; #107 ), references = 1, size of lhs = 7:
% 0.18/0.47 rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp13-{F}(V0,V2,V3,V1), P_join_on_relstr-{F}(V0,V3,V2), pppp13-{F}(V0,V4,V3,V1), pppp10-{F}(V0,V3,V4,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #111: disj( #4, exists( #5, #106 ) ), references = 1, size of lhs = 6:
% 0.18/0.47 rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), relstr_set_smaller-{F}(V0,V3,V2), P_join_on_relstr-{F}(V0,V3,V2), pppp10-{F}(V0,V3,V2,V1) | pppp0-{T}(V0,V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #118: exists( #37, #116 ), references = 2, size of lhs = 4:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), relstr_set_smaller-{F}(V0,V2,V3), pppp0-{F}(V0,V3,V2), pppp9-{F}(V0,V2,V3,V1,V4) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #123: mergings( V1 == V5; #121 ), references = 1, size of lhs = 9:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), relstr_set_smaller-{F}(V0,V3,V2), P_join_on_relstr-{F}(V0,V3,V4), relstr_set_smaller-{F}(V0,V3,V4), pppp0-{F}(V0,V4,V3), pppp10-{F}(V0,V3,V4,V1) | pppp14-{T}(V0,V2,V3,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #128: exists( #21, #126 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), pppp0-{F}(V0,V2,V3), pppp14-{F}(V0,V2,V3,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #136: mergings( V5 == V6, V6 == V7, V2 == V4, V7 == V3; #131 ), references = 2, size of lhs = 6:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp10-{F}(V0,V3,V2,V1), P_join_on_relstr-{F}(V0,V3,V2) | pppp9-{T}(V0,V3,V2,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #146: disj( #35, input ), references = 1, size of lhs = 5:
% 0.18/0.47 element-{F}(V0,V1), relstr_set_smaller-{F}(V2,V3,V0), pppp10-{F}(V2,V3,V4,V1), P_join_on_relstr-{F}(V2,V3,V5), V4 == V5 | related-{T}(V2,V4,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #151: exists( #5, #149 ), references = 1, size of lhs = 4:
% 0.18/0.47 P_join_on_relstr-{F}(V0,V1,V2), pppp13-{F}(V0,V3,V1,V4), V3 == V2, pppp10-{F}(V0,V1,V3,V4) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #153: disj( #4, exists( #5, #149 ) ), references = 1, size of lhs = 5:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), relstr_set_smaller-{F}(V0,V2,V3), pppp10-{F}(V0,V2,V3,V1), P_join_on_relstr-{F}(V0,V2,V4), V3 == V4 | pppp0-{T}(V0,V3,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #155: disj( #20, exists( #21, #126 ) ), references = 1, size of lhs = 4:
% 0.18/0.47 P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp0-{F}(V0,V2,V3), relstr_set_smaller-{F}(V0,V3,V2) | pppp1-{T}(V0,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #165: mergings( V5 == V6, V6 == V7, V4 == V8, V8 == V9, V7 == V3; #159 ), references = 1, size of lhs = 7:
% 0.18/0.47 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp10-{F}(V0,V3,V2,V1), P_join_on_relstr-{F}(V0,V3,V4), V2 == V4 | pppp9-{T}(V0,V3,V2,V1,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #171: mergings( V3 == V4, V4 == V5, V5 == V7; #167 ), references = 1, size of lhs = 5:
% 0.18/0.48 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp10-{F}(V0,V3,V2,V1) | P_join_on_relstr-{T}(V0,V3,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #182: mergings( V4 == V5, V5 == V2, V2 == V6, V6 == V7; #177 ), references = 2, size of lhs = 5:
% 0.18/0.48 antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), pppp11-{F}(V0,V2,V1), element-{F}(V2,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #185: exists( #29, #183 ), references = 1, size of lhs = 4:
% 0.18/0.48 pppp12-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #189: exists( #43, #187 ), references = 1, size of lhs = 1:
% 0.18/0.48 pppp12-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #191: exists( #28, #188 ), 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 = 19
% 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
%------------------------------------------------------------------------------