TSTP Solution File: SEU219+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:17:31 EDT 2022
% Result : Theorem 0.80s 0.98s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 19:29:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.80/0.98 GeoParameters:
% 0.80/0.98
% 0.80/0.98 tptp_input = 1
% 0.80/0.98 tptp_output = 0
% 0.80/0.98 nonempty = 1
% 0.80/0.98 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.98 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.80/0.98
% 0.80/0.98
% 0.80/0.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.98
% 0.80/0.98 RuleSystem INPUT:
% 0.80/0.98
% 0.80/0.98 Initial Rules:
% 0.80/0.98 #0: input, references = 3, size of lhs = 2:
% 0.80/0.98 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #1: input, references = 3, size of lhs = 1:
% 0.80/0.98 empty-{F}(V0) | function-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #2: input, references = 3, size of lhs = 1:
% 0.80/0.98 empty-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #3: input, references = 3, size of lhs = 3:
% 0.80/0.98 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #4: input, references = 7, size of lhs = 6:
% 0.80/0.98 P_function_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V2), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), V1 == V2 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #5: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #6: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #7: input, references = 3, size of lhs = 2:
% 0.80/0.98 P_relation_inverse-{F}(V0,V1), relation-{F}(V0) | relation-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #8: input, references = 3, size of lhs = 1:
% 0.80/0.98 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #9: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #10: input, references = 5, size of lhs = 2:
% 0.80/0.98 P_relation_inverse-{F}(V0,V1), empty-{F}(V0) | empty-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #11: input, references = 3, size of lhs = 2:
% 0.80/0.98 P_relation_inverse-{F}(V0,V1), empty-{F}(V0) | relation-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #12: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #13: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #14: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #15: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #16: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #17: input, references = 3, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_inverse-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1) | relation-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #18: input, references = 3, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_inverse-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1) | function-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #19: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #20: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #21: input, references = 3, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #22: input, references = 3, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #23: input, references = 5, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #24: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #25: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #26: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #27: input, references = 4, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_inverse-{F}(V1,V2), P_relation_inverse-{F}(V2,V3), relation-{F}(V1), V3 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #28: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #29: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp1-{F}(V0) | function-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #30: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp1-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #31: input, references = 4, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #32: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp2-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #33: input, references = 5, size of lhs = 1:
% 0.80/0.98 pppp2-{F}(V0) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #34: input, references = 4, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp12-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #35: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp12-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #36: input, references = 3, size of lhs = 2:
% 0.80/0.98 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #37: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #38: input, references = 4, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #39: input, references = 5, size of lhs = 1:
% 0.80/0.98 pppp4-{F}(V0) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #40: input, references = 4, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #41: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp5-{F}(V0) | function-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #42: input, references = 5, size of lhs = 1:
% 0.80/0.98 pppp5-{F}(V0) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #43: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp5-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #44: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #45: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp6-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #46: input, references = 3, size of lhs = 2:
% 0.80/0.98 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #47: input, references = 4, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #48: input, references = 5, size of lhs = 1:
% 0.80/0.98 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #49: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #50: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #51: input, references = 3, size of lhs = 2:
% 0.80/0.98 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #52: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #53: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #54: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp9-{F}(V0) | function-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #55: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp9-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #56: input, references = 3, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #57: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #58: input, references = 3, size of lhs = 1:
% 0.80/0.98 pppp10-{F}(V0) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #59: input, references = 3, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #60: input, references = 3, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #61: input, references = 4, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #62: input, references = 5, size of lhs = 8:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_relation_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), V2 == V4 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #63: input, references = 4, size of lhs = 8:
% 0.80/0.98 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_relation_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), V5 == V6 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #64: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #65: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #66: input, references = 3, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #67: input, references = 4, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #68: input, references = 4, size of lhs = 6:
% 0.80/0.98 pppp11-{F}(V0), P_relation_rng-{F}(V0,V3), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V5), P_relation_rng-{F}(V2,V5) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #69: input, references = 7, size of lhs = 6:
% 0.80/0.98 pppp11-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | one_to_one-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #70: input, references = 5, size of lhs = 6:
% 0.80/0.98 pppp11-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | function-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #71: input, references = 5, size of lhs = 6:
% 0.80/0.98 pppp11-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | relation-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #72: input, references = 3, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #73: input, references = 9, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #74: input, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #75: input, references = 9, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #76: input, references = 7, size of lhs = 1:
% 0.80/0.98 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #77: input, references = 6, size of lhs = 1:
% 0.80/0.98 #-{F} V0 | EXISTS V1: P_relation_inverse-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #78: input, references = 4, size of lhs = 0:
% 0.80/0.98 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #79: input, references = 3, size of lhs = 1:
% 0.80/0.98 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #80: input, references = 12, size of lhs = 1:
% 0.80/0.98 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #81: input, references = 12, size of lhs = 1:
% 0.80/0.98 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 number of initial rules = 82
% 0.80/0.98
% 0.80/0.98 Simplifiers:
% 0.80/0.98 #82: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #83: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 P_relation_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #84: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #85: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #86: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #87: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #88: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #89: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #90: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #91: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #92: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #93: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #94: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #95: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #96: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #97: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #98: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #99: unsound, references = 3, size of lhs = 3:
% 0.80/0.98 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 number of simplifiers = 18
% 0.80/0.98
% 0.80/0.98 Learnt:
% 0.80/0.98 #106: mergings( V0 == V2; #103 ), references = 1, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #108: mergings( V0 == V2; #104 ), references = 1, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #115: mergings( V0 == V2; #112 ), references = 1, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #117: mergings( V0 == V2; #113 ), references = 1, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #129: exists( #77, #125 ), references = 1, size of lhs = 2:
% 0.80/0.98 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_inverse-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #130: exists( #77, #126 ), references = 1, size of lhs = 3:
% 0.80/0.98 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_inverse-{T}(V0,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #134: exists( #76, #4 ), references = 1, size of lhs = 4:
% 0.80/0.98 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_inverse-{F}(V0,V1) | P_function_inverse-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #147: mergings( V3 == V4; #144 ), references = 1, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_inverse-{F}(V1,V1), P_relation_dom-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #154: mergings( V2 == V3; #151 ), references = 1, size of lhs = 2:
% 0.80/0.98 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #156: mergings( V2 == V3; #152 ), references = 1, size of lhs = 3:
% 0.80/0.98 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #163: mergings( V0 == V2; #160 ), references = 1, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #165: mergings( V0 == V2; #161 ), references = 1, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #176: mergings( V0 == V3; #172 ), references = 1, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #179: mergings( V0 == V3, V2 == V3; #173 ), references = 1, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #182: mergings( V0 == V3, V2 == V3; #174 ), references = 1, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #203: mergings( V0 == V3; #199 ), references = 1, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp12-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #206: mergings( V0 == V3, V1 == V3; #200 ), references = 1, size of lhs = 4:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #209: mergings( V0 == V3, V1 == V3; #201 ), references = 1, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #223: mergings( V0 == V4; #220 ), references = 1, size of lhs = 2:
% 0.80/0.98 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V0,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #225: mergings( V0 == V4; #221 ), references = 1, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp7-{T}(V1,V3)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #233: exists( #77, #4 ), references = 2, size of lhs = 4:
% 0.80/0.98 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_function_inverse-{F}(V0,V1) | P_relation_inverse-{T}(V0,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #245: exists( #81, #62 ), references = 2, size of lhs = 7:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), V2 == V4, P_relation_dom-{F}(V1,V5) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #247: mergings( V4 == V5; #243 ), references = 3, size of lhs = 6:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V2), P_relation_dom-{F}(V1,V4) | P_relation_rng-{T}(V3,V4)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #249: exists( #80, #244 ), references = 2, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_inverse-{F}(V1,V3), P_relation_dom-{F}(V1,V4) | P_relation_dom-{T}(V3,V2)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #255: mergings( V2 == V5, V4 == V6; #252 ), references = 1, size of lhs = 6:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V1), P_relation_inverse-{F}(V1,V2), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V1,V3) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #258: mergings( V2 == V3; #256 ), references = 1, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V1), P_relation_inverse-{F}(V1,V2), P_function_inverse-{F}(V1,V2) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #262: mergings( V2 == V3; #260 ), references = 3, size of lhs = 5:
% 0.80/0.98 function-{F}(V0), one_to_one-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #279: exists( #77, #27 ), references = 1, size of lhs = 3:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_inverse-{F}(V1,V2) | P_relation_inverse-{T}(V2,V1)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #298: exists( #81, #245 ), references = 1, size of lhs = 5:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4) | P_relation_rng-{T}(V1,V3)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #306: mergings( V2 == V6; #303 ), references = 1, size of lhs = 9:
% 0.80/0.98 relation-{F}(V0), P_relation_inverse-{F}(V0,V0), function-{F}(V1), relation-{F}(V1), pppp11-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), P_empty_set-{F}(V4) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #308: mergings( V0 == V6; #304 ), references = 1, size of lhs = 11:
% 0.80/0.98 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_inverse-{F}(V1,V1), pppp11-{F}(V2), relation-{F}(V2), function-{F}(V2), P_function_inverse-{F}(V2,V1), P_relation_rng-{F}(V2,V3), P_relation_dom-{F}(V2,V4), P_relation_inverse-{F}(V2,V5), V1 == V5 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #320: exists( #81, #316 ), references = 1, size of lhs = 8:
% 0.80/0.98 function-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_empty_set-{F}(V5) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #322: mergings( V0 == V6; #319 ), references = 1, size of lhs = 9:
% 0.80/0.98 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), P_relation_inverse-{F}(V0,V5), V3 == V5 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #325: exists( #80, #318 ), references = 1, size of lhs = 7:
% 0.80/0.98 function-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V0,V3), P_empty_set-{F}(V4) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #327: mergings( V0 == V5; #324 ), references = 1, size of lhs = 8:
% 0.80/0.98 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_inverse-{F}(V0,V4), V3 == V4 | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #330: exists( #76, #323 ), references = 3, size of lhs = 6:
% 0.80/0.98 function-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #331: exists( #76, #324 ), references = 1, size of lhs = 6:
% 0.80/0.98 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_inverse-{F}(V0,V3) | P_function_inverse-{T}(V0,V3)
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #338: mergings( V2 == V5, V5 == V7, V4 == V6; #334 ), references = 1, size of lhs = 7:
% 0.80/0.98 function-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), relation-{F}(V1), P_relation_inverse-{F}(V1,V0), P_relation_dom-{F}(V1,V2), P_empty_set-{F}(V3) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #342: mergings( V2 == V4, V4 == V5; #339 ), references = 1, size of lhs = 6:
% 0.80/0.98 function-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), relation-{F}(V1), P_relation_inverse-{F}(V1,V0), P_empty_set-{F}(V2) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #372: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #365 ), references = 1, size of lhs = 4:
% 0.80/0.98 pppp11-{F}(V0), P_function_inverse-{F}(V0,V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #376: exists( #80, #365 ), references = 1, size of lhs = 3:
% 0.80/0.98 pppp11-{F}(V0), P_function_inverse-{F}(V0,V0), P_empty_set-{F}(V1) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #392: mergings( V2 == V6, V3 == V7, V4 == V8, V8 == V10, V5 == V9; #384 ), references = 1, size of lhs = 6:
% 0.80/0.98 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), P_relation_dom-{F}(V0,V4), P_empty_set-{F}(V5) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #399: mergings( V2 == V5, V3 == V6, V4 == V7; #393 ), references = 2, size of lhs = 5:
% 0.80/0.98 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), P_empty_set-{F}(V4) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #411: exists( #81, #399 ), references = 1, size of lhs = 4:
% 0.80/0.98 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_empty_set-{F}(V3) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #414: exists( #80, #409 ), references = 1, size of lhs = 3:
% 0.80/0.98 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #416: exists( #76, #412 ), references = 1, size of lhs = 2:
% 0.80/0.98 pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #419: mergings( V0 == V2; #417 ), references = 1, size of lhs = 1:
% 0.80/0.98 P_empty_set-{F}(V0) | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 #421: exists( #78, #417 ), references = 1, size of lhs = 0:
% 0.80/0.98 FALSE | FALSE
% 0.80/0.98 (used 0 times, uses = {})
% 0.80/0.98
% 0.80/0.98 number of learnt formulas = 48
% 0.80/0.98
% 0.80/0.98
% 0.80/0.98 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.98
% 0.80/0.98 randbase = 1
%------------------------------------------------------------------------------