TSTP Solution File: SEU360+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 1.40s 1.57s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 19:49:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.40/1.57 GeoParameters:
% 1.40/1.57
% 1.40/1.57 tptp_input = 1
% 1.40/1.57 tptp_output = 0
% 1.40/1.57 nonempty = 1
% 1.40/1.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.40/1.57
% 1.40/1.57
% 1.40/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.57
% 1.40/1.57 RuleSystem INPUT:
% 1.40/1.57
% 1.40/1.57 Initial Rules:
% 1.40/1.57 #0: input, references = 3, size of lhs = 2:
% 1.40/1.57 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #1: input, references = 3, size of lhs = 1:
% 1.40/1.57 empty-{F}(V0) | finite-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #2: input, references = 4, size of lhs = 2:
% 1.40/1.57 rel_str-{F}(V0), lower_bounded_relstr-{F}(V0) | pppp0-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #3: input, references = 3, size of lhs = 2:
% 1.40/1.57 rel_str-{F}(V0), pppp0-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #4: input, references = 5, size of lhs = 2:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), pppp0-{F}(V0) | EXISTS V2: pppp4-{T}(V0,V2,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #5: input, references = 3, size of lhs = 3:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), relstr_element_smaller-{F}(V0,V1,V2) | pppp0-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #6: input, references = 5, size of lhs = 1:
% 1.40/1.57 pppp4-{F}(V0,V1,V2) | relstr_element_smaller-{T}(V0,V2,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #7: input, references = 5, size of lhs = 1:
% 1.40/1.57 pppp4-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #8: input, references = 5, size of lhs = 4:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), relstr_element_smaller-{F}(V0,V3,V2) | pppp1-{T}(V0,V3,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #9: input, references = 4, size of lhs = 4:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), pppp1-{F}(V0,V3,V2) | relstr_element_smaller-{T}(V0,V3,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #10: input, references = 8, size of lhs = 4:
% 1.40/1.57 P_the_carrier-{F}(V0,V3), pppp1-{F}(V0,V1,V2), element-{F}(V4,V3), in-{F}(V4,V1) | related-{T}(V0,V2,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #11: input, references = 8, size of lhs = 3:
% 1.40/1.57 #-{F} V1, #-{F} V2, P_the_carrier-{F}(V0,V3) | pppp1-{T}(V0,V1,V2), pppp19-{T}(V0,V1,V2,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #12: input, references = 7, size of lhs = 1:
% 1.40/1.57 pppp19-{F}(V0,V1,V2,V3) | EXISTS V4: pppp5-{T}(V0,V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #13: input, references = 6, size of lhs = 2:
% 1.40/1.57 pppp5-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V2,V3) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #14: input, references = 5, size of lhs = 1:
% 1.40/1.57 pppp5-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #15: input, references = 6, size of lhs = 1:
% 1.40/1.57 pppp5-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #16: input, references = 4, size of lhs = 1:
% 1.40/1.57 rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #17: input, references = 3, size of lhs = 0:
% 1.40/1.57 FALSE | EXISTS V0: pppp6-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #18: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp6-{F}(V0) | rel_str-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #19: input, references = 3, size of lhs = 0:
% 1.40/1.57 FALSE | EXISTS V0: pppp7-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #20: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp7-{F}(V0) | one_sorted_str-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #21: input, references = 3, size of lhs = 1:
% 1.40/1.57 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #22: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #23: input, references = 4, size of lhs = 3:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #24: input, references = 4, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #25: input, references = 3, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #26: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp9-{F}(V0) | finite-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #27: input, references = 3, size of lhs = 2:
% 1.40/1.57 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #28: input, references = 4, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #29: input, references = 5, size of lhs = 1:
% 1.40/1.57 pppp10-{F}(V0) | empty-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #30: input, references = 3, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #31: input, references = 3, size of lhs = 2:
% 1.40/1.57 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #32: input, references = 3, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #33: input, references = 3, size of lhs = 2:
% 1.40/1.57 pppp12-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #34: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp12-{F}(V0) | one_sorted_str-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #35: input, references = 3, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), ex_sup_of_relstr_set-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #36: input, references = 4, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), pppp2-{F}(V1,V2) | ex_sup_of_relstr_set-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #37: input, references = 3, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V3), pppp2-{F}(V1,V2) | EXISTS V4: pppp13-{T}(V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #38: input, references = 4, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V3), element-{F}(V4,V3), relstr_set_smaller-{F}(V1,V2,V4) | pppp2-{T}(V1,V2), pppp20-{T}(V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #39: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp20-{F}(V0,V1,V2,V3) | EXISTS V4: pppp14-{T}(V0,V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #40: input, references = 5, size of lhs = 2:
% 1.40/1.57 pppp14-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V2,V3) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #41: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp14-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V1,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #42: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp14-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #43: input, references = 4, size of lhs = 3:
% 1.40/1.57 pppp13-{F}(V0,V1,V2,V3), element-{F}(V4,V3), relstr_set_smaller-{F}(V0,V1,V4) | related-{T}(V0,V2,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #44: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp13-{F}(V0,V1,V2,V3) | relstr_set_smaller-{T}(V0,V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #45: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp13-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #46: input, references = 3, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), ex_inf_of_relstr_set-{F}(V1,V2) | pppp3-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #47: input, references = 5, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), pppp3-{F}(V1,V2) | ex_inf_of_relstr_set-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #48: input, references = 3, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V3), pppp3-{F}(V1,V2) | EXISTS V4: pppp15-{T}(V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #49: input, references = 4, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V3), element-{F}(V4,V3), relstr_element_smaller-{F}(V1,V2,V4) | pppp3-{T}(V1,V2), pppp21-{T}(V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #50: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp21-{F}(V0,V1,V2,V3) | EXISTS V4: pppp16-{T}(V0,V1,V2,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #51: input, references = 4, size of lhs = 2:
% 1.40/1.57 pppp16-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V3,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #52: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp16-{F}(V0,V1,V2,V3,V4) | relstr_element_smaller-{T}(V0,V1,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #53: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp16-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #54: input, references = 3, size of lhs = 3:
% 1.40/1.57 pppp15-{F}(V0,V1,V2,V3), element-{F}(V4,V3), relstr_element_smaller-{F}(V0,V1,V4) | related-{T}(V0,V4,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #55: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp15-{F}(V0,V1,V2,V3) | relstr_element_smaller-{T}(V0,V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #56: input, references = 3, size of lhs = 1:
% 1.40/1.57 pppp15-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #57: input, references = 3, size of lhs = 2:
% 1.40/1.57 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #58: input, references = 5, size of lhs = 2:
% 1.40/1.57 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #59: input, references = 4, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V0,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #60: input, references = 5, size of lhs = 2:
% 1.40/1.57 pppp18-{F}(V0,V1), P_the_carrier-{F}(V1,V2) | pppp17-{T}(V1,V0,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #61: input, references = 5, size of lhs = 3:
% 1.40/1.57 pppp17-{F}(V0,V1,V2), ex_sup_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V0,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #62: input, references = 5, size of lhs = 1:
% 1.40/1.57 pppp17-{F}(V0,V1,V2) | rel_str-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #63: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp17-{F}(V0,V1,V2) | lower_bounded_relstr-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #64: input, references = 4, size of lhs = 1:
% 1.40/1.57 pppp17-{F}(V0,V1,V2) | antisymmetric_relstr-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #65: input, references = 4, size of lhs = 2:
% 1.40/1.57 pppp17-{F}(V0,V1,V2), empty_carrier-{F}(V0) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #66: input, references = 4, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #67: input, references = 5, size of lhs = 4:
% 1.40/1.57 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)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #68: input, references = 3, size of lhs = 4:
% 1.40/1.57 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)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #69: input, references = 4, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #70: input, references = 4, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #71: input, references = 4, size of lhs = 1:
% 1.40/1.57 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #72: input, references = 4, size of lhs = 0:
% 1.40/1.57 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 number of initial rules = 73
% 1.40/1.57
% 1.40/1.57 Simplifiers:
% 1.40/1.57 #73: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 ex_sup_of_relstr_set-{F}(V0,V1), ex_sup_of_relstr_set-{F}(V2,V3), V1 == V3 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #74: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 relstr_set_smaller-{F}(V0,V1,V2), relstr_set_smaller-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #75: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V1 == V3 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #76: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #77: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #78: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #79: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #80: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #81: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #82: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #83: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #84: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #85: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #86: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #87: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #88: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #89: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #90: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #91: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #92: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #93: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #94: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #95: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #96: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #97: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #98: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #99: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V1,V5), V0 == V3 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #100: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #101: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #102: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #103: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V0 == V2 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #104: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #105: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #106: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #107: unsound, references = 3, size of lhs = 3:
% 1.40/1.57 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 number of simplifiers = 35
% 1.40/1.57
% 1.40/1.57 Learnt:
% 1.40/1.57 #114: mergings( V0 == V2; #111 ), references = 1, size of lhs = 1:
% 1.40/1.57 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #116: mergings( V0 == V2; #112 ), references = 1, size of lhs = 2:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #122: exists( #12, #120 ), references = 1, size of lhs = 3:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), pppp1-{F}(V0,V2,V3), pppp19-{F}(V0,V2,V3,V1) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #127: disj( #58, input ), references = 1, size of lhs = 2:
% 1.40/1.57 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #137: exists( #12, #135 ), references = 1, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp19-{F}(V2,V1,V3,V4) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #139: disj( #11, exists( #12, #135 ) ), references = 1, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1), P_the_carrier-{F}(V2,V3), #-{F} V4 | pppp1-{T}(V2,V1,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #147: mergings( V0 == V3; #144 ), references = 4, size of lhs = 3:
% 1.40/1.57 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #150: mergings( V0 == V3, V2 == V3; #145 ), references = 1, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #163: mergings( V3 == V4; #161 ), references = 1, size of lhs = 4:
% 1.40/1.57 P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), in-{F}(V2,V3), pppp14-{F}(V0,V4,V5,V2,V6) | pppp19-{T}(V0,V3,V5,V1)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #168: exists( #12, #166 ), references = 1, size of lhs = 5:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), V2 == V0, pppp1-{F}(V1,V2,V3), pppp19-{F}(V1,V4,V3,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #170: disj( #11, exists( #12, #166 ) ), references = 1, size of lhs = 5:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), V2 == V0, pppp1-{F}(V1,V2,V3), #-{F} V4 | pppp1-{T}(V1,V4,V3)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #194: exists( #12, #192 ), references = 1, size of lhs = 5:
% 1.40/1.57 P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), pppp13-{F}(V1,V0,V3,V2), pppp19-{F}(V1,V4,V3,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #204: mergings( V3 == V0; #202 ), references = 1, size of lhs = 4:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), V2 == V0, pppp19-{F}(V1,V3,V4,V2) | pppp19-{T}(V1,V2,V4,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #268: mergings( V3 == V5; #266 ), references = 1, size of lhs = 5:
% 1.40/1.57 rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), in-{F}(V2,V3), pppp21-{F}(V0,V3,V2,V1) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #271: mergings( V2 == V5; #269 ), references = 2, size of lhs = 6:
% 1.40/1.57 P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V3,V4), relstr_element_smaller-{F}(V1,V4,V3) | pppp3-{T}(V1,V4)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #280: mergings( V3 == V6, V6 == V7, V7 == V8, V4 == V5; #275 ), references = 1, size of lhs = 8:
% 1.40/1.57 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), ex_sup_of_relstr_set-{F}(V1,V3), pppp17-{F}(V1,V3,V4), element-{F}(V5,V2), in-{F}(V5,V4) | pppp19-{T}(V1,V4,V5,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #306: mergings( V3 == V4, V4 == V5; #303 ), references = 1, size of lhs = 8:
% 1.40/1.57 pppp0-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), V2 == V1, ex_sup_of_relstr_set-{F}(V0,V3), pppp17-{F}(V0,V3,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #314: mergings( V2 == V9, V0 == V5, V5 == V6, V6 == V7, V7 == V8; #308 ), references = 2, size of lhs = 9:
% 1.40/1.57 pppp0-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), V2 == V1, pppp17-{F}(V0,V3,V2), relstr_set_smaller-{F}(V0,V3,V4), element-{F}(V4,V2) | pppp20-{T}(V0,V3,V4,V2)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #340: exists( #39, #334 ), references = 1, size of lhs = 5:
% 1.40/1.57 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), V2 == V0, pppp1-{F}(V1,V2,V3), pppp20-{F}(V1,V4,V3,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #361: mergings( V3 == V4, V4 == V5; #356 ), references = 2, size of lhs = 7:
% 1.40/1.57 pppp0-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), V2 == V1, pppp17-{F}(V0,V1,V2) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #389: exists( #71, #387 ), references = 1, size of lhs = 2:
% 1.40/1.57 P_empty_set-{F}(V0), pppp18-{F}(V0,V1) | P_the_carrier-{T}(V1,V0)
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #396: exists( #59, #394 ), references = 1, size of lhs = 2:
% 1.40/1.57 P_empty_set-{F}(V0), empty-{F}(V0) | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 #399: exists( #72, #397 ), references = 1, size of lhs = 0:
% 1.40/1.57 FALSE | FALSE
% 1.40/1.57 (used 0 times, uses = {})
% 1.40/1.57
% 1.40/1.57 number of learnt formulas = 23
% 1.40/1.57
% 1.40/1.57
% 1.40/1.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.57
% 1.40/1.57 randbase = 1
%------------------------------------------------------------------------------