TSTP Solution File: SEU375+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:56 EDT 2022
% Result : Theorem 0.46s 0.62s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 19:39:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.62 GeoParameters:
% 0.46/0.62
% 0.46/0.62 tptp_input = 1
% 0.46/0.62 tptp_output = 0
% 0.46/0.62 nonempty = 1
% 0.46/0.62 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.62 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.46/0.62
% 0.46/0.62
% 0.46/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.62
% 0.46/0.62 RuleSystem INPUT:
% 0.46/0.62
% 0.46/0.62 Initial Rules:
% 0.46/0.62 #0: input, references = 3, size of lhs = 2:
% 0.46/0.62 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #1: input, references = 3, size of lhs = 1:
% 0.46/0.62 empty-{F}(V0) | function-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #2: input, references = 3, size of lhs = 1:
% 0.46/0.62 empty-{F}(V0) | relation-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #3: input, references = 3, size of lhs = 2:
% 0.46/0.62 rel_str-{F}(V0), empty_carrier-{F}(V0) | v1_yellow_3-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #4: input, references = 3, size of lhs = 3:
% 0.46/0.62 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #5: input, references = 3, size of lhs = 2:
% 0.46/0.62 rel_str-{F}(V0), empty_carrier-{F}(V0) | v1_yellow_3-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #6: input, references = 5, size of lhs = 4:
% 0.46/0.62 one_sorted_str-{F}(V0), net_str-{F}(V1,V0), subnetstr-{F}(V2,V0,V1), full_subnetstr-{F}(V2,V0,V1) | pppp0-{T}(V1,V2)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #7: input, references = 3, size of lhs = 4:
% 0.46/0.62 one_sorted_str-{F}(V0), net_str-{F}(V1,V0), subnetstr-{F}(V2,V0,V1), pppp0-{F}(V1,V2) | full_subnetstr-{T}(V2,V0,V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #8: input, references = 5, size of lhs = 1:
% 0.46/0.62 pppp0-{F}(V0,V1) | full_subrelstr-{T}(V1,V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #9: input, references = 5, size of lhs = 1:
% 0.46/0.62 pppp0-{F}(V0,V1) | subrelstr-{T}(V1,V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #10: input, references = 3, size of lhs = 2:
% 0.46/0.62 full_subrelstr-{F}(V1,V0), subrelstr-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #11: input, references = 4, size of lhs = 1:
% 0.46/0.62 rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #12: input, references = 5, size of lhs = 2:
% 0.46/0.62 one_sorted_str-{F}(V0), net_str-{F}(V1,V0) | rel_str-{T}(V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #13: input, references = 3, size of lhs = 2:
% 0.46/0.62 rel_str-{F}(V0), subrelstr-{F}(V1,V0) | rel_str-{T}(V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #14: input, references = 4, size of lhs = 3:
% 0.46/0.62 one_sorted_str-{F}(V0), net_str-{F}(V1,V0), subnetstr-{F}(V2,V0,V1) | net_str-{T}(V2,V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #15: input, references = 3, size of lhs = 0:
% 0.46/0.62 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #16: input, references = 3, size of lhs = 1:
% 0.46/0.62 pppp1-{F}(V0) | rel_str-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #17: input, references = 3, size of lhs = 0:
% 0.46/0.62 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #18: input, references = 3, size of lhs = 1:
% 0.46/0.62 pppp2-{F}(V0) | one_sorted_str-{T}(V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #19: input, references = 3, size of lhs = 1:
% 0.46/0.62 one_sorted_str-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #20: input, references = 3, size of lhs = 1:
% 0.46/0.62 pppp3-{F}(V0,V1) | net_str-{T}(V1,V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #21: input, references = 3, size of lhs = 1:
% 0.46/0.62 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #22: input, references = 3, size of lhs = 1:
% 0.46/0.62 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #23: input, references = 3, size of lhs = 1:
% 0.46/0.62 rel_str-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #24: input, references = 3, size of lhs = 1:
% 0.46/0.62 pppp5-{F}(V0,V1) | subrelstr-{T}(V1,V0)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #25: input, references = 3, size of lhs = 2:
% 0.46/0.62 one_sorted_str-{F}(V0), net_str-{F}(V1,V0) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #26: input, references = 3, size of lhs = 1:
% 0.46/0.62 pppp6-{F}(V0,V1,V2) | subnetstr-{T}(V2,V0,V1)
% 0.46/0.62 (used 0 times, uses = {})
% 0.46/0.62
% 0.46/0.62 #27: input, references = 4, size of lhs = 1:
% 0.46/0.62 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #28: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #29: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #30: input, references = 5, size of lhs = 4:
% 0.46/0.63 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), one_sorted_str-{F}(V1), empty-{F}(V2) | empty_carrier-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #31: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #32: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #33: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #34: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp7-{F}(V0) | function-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #35: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp7-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #36: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #37: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp8-{F}(V0) | function-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #38: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #39: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp8-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #40: input, references = 4, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #41: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp9-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #42: input, references = 5, size of lhs = 1:
% 0.46/0.63 pppp9-{F}(V0) | empty-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #43: input, references = 4, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #44: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp10-{F}(V0) | function-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #45: input, references = 5, size of lhs = 1:
% 0.46/0.63 pppp10-{F}(V0) | empty-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #46: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp10-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #47: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #48: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp11-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #49: input, references = 3, size of lhs = 2:
% 0.46/0.63 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #50: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #51: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #52: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp12-{F}(V0) | function-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #53: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp12-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #54: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #55: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp13-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #56: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp13-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #57: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #58: input, references = 3, size of lhs = 2:
% 0.46/0.63 pppp14-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #59: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp14-{F}(V0) | one_sorted_str-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #60: input, references = 3, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #61: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp15-{F}(V0) | function-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #62: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #63: input, references = 3, size of lhs = 1:
% 0.46/0.63 pppp15-{F}(V0) | relation-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #64: input, references = 3, size of lhs = 2:
% 0.46/0.63 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #65: input, references = 4, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | EXISTS V1: pppp22-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #66: input, references = 4, size of lhs = 1:
% 0.46/0.63 pppp22-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #67: input, references = 4, size of lhs = 1:
% 0.46/0.63 pppp22-{F}(V0) | one_sorted_str-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #68: input, references = 4, size of lhs = 2:
% 0.46/0.63 pppp21-{F}(V0,V1), P_the_carrier-{F}(V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #69: input, references = 4, size of lhs = 2:
% 0.46/0.63 pppp21-{F}(V0,V1), P_the_carrier-{F}(V1,V2) | net_str-{T}(V1,V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #70: input, references = 3, size of lhs = 3:
% 0.46/0.63 pppp21-{F}(V0,V1), P_the_carrier-{F}(V1,V2), empty_carrier-{F}(V1) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #71: input, references = 6, size of lhs = 2:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), P_the_carrier-{F}(V2,V4) | EXISTS V5: pppp19-{T}(V1,V2,V5,V3,V4)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #72: input, references = 5, size of lhs = 2:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), P_the_carrier-{F}(V2,V4) | subnetstr-{T}(V2,V0,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #73: input, references = 5, size of lhs = 2:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), P_the_carrier-{F}(V2,V4) | full_subnetstr-{T}(V2,V0,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #74: input, references = 5, size of lhs = 3:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), P_the_carrier-{F}(V2,V4), empty_carrier-{F}(V2) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #75: input, references = 6, size of lhs = 1:
% 0.46/0.63 pppp19-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp18-{T}(V0,V1,V2,V5,V3,V4)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #76: input, references = 5, size of lhs = 1:
% 0.46/0.63 pppp19-{F}(V0,V1,V2,V3,V4) | element-{T}(V2,V3)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #77: input, references = 4, size of lhs = 1:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5) | EXISTS V6: pppp17-{T}(V0,V1,V2,V3,V6,V5)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #78: input, references = 5, size of lhs = 1:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5) | element-{T}(V3,V4)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #79: input, references = 4, size of lhs = 1:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5) | EXISTS V6: pppp16-{T}(V1,V3,V4,V6,V5)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #80: input, references = 6, size of lhs = 1:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5) | related-{T}(V0,V2,V3)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #81: input, references = 4, size of lhs = 2:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5), V2 == V4 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #82: input, references = 4, size of lhs = 1:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5) | element-{T}(V4,V5)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #83: input, references = 6, size of lhs = 2:
% 0.46/0.63 pppp16-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V2,V3) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #84: input, references = 4, size of lhs = 2:
% 0.46/0.63 pppp16-{F}(V0,V1,V2,V3,V4), V1 == V3 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #85: input, references = 4, size of lhs = 1:
% 0.46/0.63 pppp16-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #86: input, references = 4, size of lhs = 2:
% 0.46/0.63 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #87: input, references = 5, size of lhs = 13:
% 0.46/0.63 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), P_the_carrier-{F}(V3,V4), full_subrelstr-{F}(V3,V1), subrelstr-{F}(V3,V1), element-{F}(V5,V2), element-{F}(V6,V2), element-{F}(V5,V4), related-{F}(V1,V5,V6), in-{F}(V5,V4), element-{F}(V6,V4), in-{F}(V6,V4) | related-{T}(V3,V5,V6)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #88: input, references = 5, size of lhs = 3:
% 0.46/0.63 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #89: input, references = 3, size of lhs = 3:
% 0.46/0.63 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #90: input, references = 5, size of lhs = 4:
% 0.46/0.63 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #91: input, references = 4, size of lhs = 0:
% 0.46/0.63 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #92: input, references = 6, size of lhs = 1:
% 0.46/0.63 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 number of initial rules = 93
% 0.46/0.63
% 0.46/0.63 Simplifiers:
% 0.46/0.63 #93: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #94: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #95: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #96: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #97: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #98: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #99: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #100: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #101: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #102: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #103: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #104: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #105: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #106: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #107: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #108: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #109: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #110: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #111: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #112: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5), pppp17-{F}(V0,V1,V2,V3,V10,V5), V4 == V10 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #113: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5), pppp17-{F}(V6,V1,V8,V9,V10,V11), V5 == V11 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #114: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5), pppp18-{F}(V0,V1,V2,V9,V4,V5), V3 == V9 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #115: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5), pppp18-{F}(V0,V1,V8,V9,V4,V5), V2 == V8 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #116: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5), pppp18-{F}(V0,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #117: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5), pppp18-{F}(V6,V1,V8,V9,V10,V11), V5 == V11 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #118: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #119: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #120: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V5,V1,V7,V8,V9), V4 == V9 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #121: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #122: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #123: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #124: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #125: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #126: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V0 == V2 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #127: unsound, references = 3, size of lhs = 3:
% 0.46/0.63 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 number of simplifiers = 35
% 0.46/0.63
% 0.46/0.63 Learnt:
% 0.46/0.63 #133: mergings( V0 == V2; #130 ), references = 1, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #135: mergings( V0 == V2; #131 ), references = 1, size of lhs = 2:
% 0.46/0.63 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #140: mergings( V0 == V3; #136 ), references = 5, size of lhs = 3:
% 0.46/0.63 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #143: mergings( V0 == V3, V2 == V3; #137 ), references = 1, size of lhs = 4:
% 0.46/0.63 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #145: mergings( V2 == V0; #138 ), references = 1, size of lhs = 3:
% 0.46/0.63 P_empty_set-{F}(V0), pppp11-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #153: mergings( V0 == V2; #150 ), references = 1, size of lhs = 1:
% 0.46/0.63 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #155: mergings( V0 == V2; #151 ), references = 1, size of lhs = 2:
% 0.46/0.63 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #171: exists( #77, #81 ), references = 3, size of lhs = 1:
% 0.46/0.63 pppp18-{F}(V0,V1,V2,V3,V4,V5) | pppp17-{T}(V0,V1,V2,V3,V2,V5)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #173: exists( #79, #84 ), references = 3, size of lhs = 1:
% 0.46/0.63 pppp17-{F}(V0,V1,V2,V3,V4,V5) | pppp16-{T}(V1,V3,V4,V3,V5)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #178: exists( #75, #176 ), references = 1, size of lhs = 1:
% 0.46/0.63 pppp19-{F}(V0,V0,V1,V2,V3) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #180: exists( #71, #177 ), references = 1, size of lhs = 2:
% 0.46/0.63 P_the_carrier-{F}(V0,V1), pppp20-{F}(V2,V0,V0,V3) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #189: mergings( V6 == V7; #187 ), references = 2, size of lhs = 10:
% 0.46/0.63 P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), V2 == V0, full_subrelstr-{F}(V3,V1), subrelstr-{F}(V3,V1), P_the_carrier-{F}(V3,V2), element-{F}(V4,V2), in-{F}(V4,V2), pppp19-{F}(V1,V3,V4,V2,V5) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #197: mergings( V6 == V7, V3 == V4; #194 ), references = 1, size of lhs = 8:
% 0.46/0.63 P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), V2 == V0, full_subrelstr-{F}(V3,V1), subrelstr-{F}(V3,V1), P_the_carrier-{F}(V3,V2), pppp20-{F}(V4,V1,V3,V2) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #225: mergings( V6 == V7, V7 == V8; #222 ), references = 1, size of lhs = 9:
% 0.46/0.63 P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), full_subrelstr-{F}(V3,V1), subrelstr-{F}(V3,V1), P_the_carrier-{F}(V3,V4), V4 == V0, pppp19-{F}(V1,V3,V5,V2,V4), element-{F}(V5,V2) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #230: mergings( V6 == V7, V7 == V8; #227 ), references = 2, size of lhs = 8:
% 0.46/0.63 P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), full_subrelstr-{F}(V3,V1), subrelstr-{F}(V3,V1), pppp20-{F}(V4,V1,V3,V2), P_the_carrier-{F}(V3,V5), V5 == V0 | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #240: mergings( V3 == V4, V4 == V5, V2 == V9, V7 == V8; #235 ), references = 1, size of lhs = 7:
% 0.46/0.63 one_sorted_str-{F}(V0), P_empty_set-{F}(V1), rel_str-{F}(V2), net_str-{F}(V2,V0), subnetstr-{F}(V3,V0,V2), P_the_carrier-{F}(V2,V4), pppp20-{F}(V0,V2,V3,V4) | P_the_carrier-{T}(V3,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #251: mergings( V1 == V2, V2 == V3, V3 == V9, V0 == V8, V8 == V10, V4 == V11, V6 == V7, V7 == V12; #242 ), references = 1, size of lhs = 9:
% 0.46/0.63 one_sorted_str-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), rel_str-{F}(V2), net_str-{F}(V2,V0), P_the_carrier-{F}(V2,V3), one_sorted_str-{F}(V4), subnetstr-{F}(V4,V0,V2), pppp20-{F}(V0,V2,V4,V3) | P_the_carrier-{T}(V4,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #267: mergings( V2 == V8, V6 == V7, V7 == V5; #263 ), references = 1, size of lhs = 6:
% 0.46/0.63 one_sorted_str-{F}(V0), P_empty_set-{F}(V1), rel_str-{F}(V2), net_str-{F}(V2,V0), P_the_carrier-{F}(V2,V3), pppp20-{F}(V0,V2,V4,V3) | P_the_carrier-{T}(V4,V1)
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #276: mergings( V4 == V5; #274 ), references = 1, size of lhs = 7:
% 0.46/0.63 empty-{F}(V0), P_empty_set-{F}(V0), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), one_sorted_str-{F}(V3), pppp21-{F}(V3,V1), net_str-{F}(V1,V3) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #281: mergings( V2 == V4; #279 ), references = 1, size of lhs = 4:
% 0.46/0.63 empty-{F}(V0), P_empty_set-{F}(V0), one_sorted_str-{F}(V1), pppp21-{F}(V1,V2) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #284: mergings( V2 == V3; #282 ), references = 2, size of lhs = 4:
% 0.46/0.63 pppp22-{F}(V0), one_sorted_str-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #288: mergings( V0 == V2; #286 ), references = 1, size of lhs = 2:
% 0.46/0.63 empty-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 #291: exists( #91, #289 ), references = 1, size of lhs = 0:
% 0.46/0.63 FALSE | FALSE
% 0.46/0.63 (used 0 times, uses = {})
% 0.46/0.63
% 0.46/0.63 number of learnt formulas = 23
% 0.46/0.63
% 0.46/0.63
% 0.46/0.63 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63
% 0.46/0.63 randbase = 1
%------------------------------------------------------------------------------