TSTP Solution File: SEU188+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:17:26 EDT 2022
% Result : Theorem 0.18s 0.59s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU188+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 : n017.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 18:02:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.59 GeoParameters:
% 0.18/0.59
% 0.18/0.59 tptp_input = 1
% 0.18/0.59 tptp_output = 0
% 0.18/0.59 nonempty = 1
% 0.18/0.59 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.59
% 0.18/0.59
% 0.18/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59
% 0.18/0.59 RuleSystem INPUT:
% 0.18/0.59
% 0.18/0.59 Initial Rules:
% 0.18/0.59 #0: input, references = 4, size of lhs = 2:
% 0.18/0.59 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #1: input, references = 3, size of lhs = 1:
% 0.18/0.59 empty-{F}(V0) | relation-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #2: input, references = 4, size of lhs = 3:
% 0.18/0.59 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #3: input, references = 3, size of lhs = 2:
% 0.18/0.59 P_relation_dom-{F}(V0,V1), relation-{F}(V0) | pppp1-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #4: input, references = 3, size of lhs = 4:
% 0.18/0.59 P_relation_dom-{F}(V0,V1), relation-{F}(V0), pppp1-{F}(V0,V2), V2 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #5: input, references = 4, size of lhs = 2:
% 0.18/0.59 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp0-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #6: input, references = 4, size of lhs = 2:
% 0.18/0.59 pppp1-{F}(V0,V1), pppp0-{F}(V0,V2) | in-{T}(V2,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #7: input, references = 5, size of lhs = 2:
% 0.18/0.59 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp16-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #8: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp16-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #9: input, references = 3, size of lhs = 3:
% 0.18/0.59 pppp4-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #10: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #11: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp0-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #12: input, references = 3, size of lhs = 2:
% 0.18/0.59 P_ordered_pair-{F}(V1,V2,V3), in-{F}(V3,V0) | pppp0-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #13: input, references = 3, size of lhs = 2:
% 0.18/0.59 pppp5-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #14: input, references = 3, size of lhs = 2:
% 0.18/0.59 P_relation_rng-{F}(V0,V1), relation-{F}(V0) | pppp3-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #15: input, references = 3, size of lhs = 4:
% 0.18/0.59 P_relation_rng-{F}(V0,V1), relation-{F}(V0), pppp3-{F}(V0,V2), V2 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #16: input, references = 3, size of lhs = 2:
% 0.18/0.59 pppp3-{F}(V0,V1), in-{F}(V2,V1) | pppp2-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #17: input, references = 4, size of lhs = 2:
% 0.18/0.59 pppp3-{F}(V0,V1), pppp2-{F}(V0,V2) | in-{T}(V2,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #18: input, references = 4, size of lhs = 2:
% 0.18/0.59 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp17-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #19: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp17-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #20: input, references = 3, size of lhs = 3:
% 0.18/0.59 pppp6-{F}(V0,V1,V2), pppp2-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #21: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp2-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #22: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp2-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #23: input, references = 4, size of lhs = 2:
% 0.18/0.59 P_ordered_pair-{F}(V2,V1,V3), in-{F}(V3,V0) | pppp2-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #24: input, references = 3, size of lhs = 2:
% 0.18/0.59 pppp7-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V1,V3) | in-{T}(V3,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #25: input, references = 4, size of lhs = 5:
% 0.18/0.59 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #26: input, references = 3, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #27: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #28: input, references = 4, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #29: input, references = 3, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #30: input, references = 4, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #31: input, references = 4, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #32: input, references = 3, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #33: input, references = 3, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #34: input, references = 6, size of lhs = 4:
% 0.18/0.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #35: input, references = 8, size of lhs = 4:
% 0.18/0.59 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #36: input, references = 5, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #37: input, references = 3, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #38: input, references = 5, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #39: input, references = 3, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #40: input, references = 4, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #41: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp9-{F}(V0) | relation-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #42: input, references = 5, size of lhs = 1:
% 0.18/0.59 pppp9-{F}(V0) | empty-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #43: input, references = 4, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #44: input, references = 5, size of lhs = 1:
% 0.18/0.59 pppp10-{F}(V0) | empty-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #45: input, references = 3, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #46: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp11-{F}(V0) | relation-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #47: input, references = 4, size of lhs = 2:
% 0.18/0.59 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #48: input, references = 3, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #49: input, references = 3, size of lhs = 2:
% 0.18/0.59 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #50: input, references = 3, size of lhs = 2:
% 0.18/0.59 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #51: input, references = 5, size of lhs = 2:
% 0.18/0.59 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #52: input, references = 3, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), relation-{F}(V1), V1 == V0 | EXISTS V2: pppp14-{T}(V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #53: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #54: input, references = 3, size of lhs = 2:
% 0.18/0.59 pppp13-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #55: input, references = 4, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #56: input, references = 4, size of lhs = 3:
% 0.18/0.59 pppp15-{F}(V1,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #57: input, references = 5, size of lhs = 5:
% 0.18/0.59 pppp15-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), V2 == V1, V3 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #58: input, references = 8, size of lhs = 3:
% 0.18/0.59 pppp15-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | relation-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #59: input, references = 11, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #60: input, references = 4, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #61: input, references = 11, size of lhs = 4:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #62: input, references = 4, size of lhs = 2:
% 0.18/0.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #63: input, references = 7, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #64: input, references = 4, size of lhs = 2:
% 0.18/0.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #65: input, references = 7, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #66: input, references = 3, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #67: input, references = 4, size of lhs = 0:
% 0.18/0.59 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of initial rules = 68
% 0.18/0.59
% 0.18/0.59 Simplifiers:
% 0.18/0.59 #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp15-{F}(V0,V1), pppp15-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of simplifiers = 20
% 0.18/0.59
% 0.18/0.59 Learnt:
% 0.18/0.59 #89: exists( #64, #25 ), references = 1, size of lhs = 3:
% 0.18/0.59 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #96: mergings( V0 == V2; #93 ), references = 1, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #98: mergings( V0 == V2; #94 ), references = 1, size of lhs = 2:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #105: mergings( V0 == V2; #102 ), references = 1, size of lhs = 1:
% 0.18/0.59 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #107: mergings( V0 == V2; #103 ), references = 1, size of lhs = 2:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #120: mergings( V2 == V3; #117 ), references = 1, size of lhs = 2:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #122: mergings( V2 == V3; #118 ), references = 1, size of lhs = 3:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #130: exists( #63, #56 ), references = 2, size of lhs = 2:
% 0.18/0.59 pppp15-{F}(V0,V0), P_relation_rng-{F}(V0,V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #138: disj( #18, input ), references = 1, size of lhs = 4:
% 0.18/0.59 relation-{F}(V0), P_relation_rng-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp17-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #145: mergings( V2 == V3; #142 ), references = 1, size of lhs = 2:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #147: mergings( V2 == V3; #143 ), references = 1, size of lhs = 3:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #151: disj( #7, input ), references = 1, size of lhs = 4:
% 0.18/0.59 relation-{F}(V0), P_relation_dom-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp16-{T}(V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #153: exists( #62, #2 ), references = 1, size of lhs = 1:
% 0.18/0.59 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #155: disj( #51, input ), references = 1, size of lhs = 2:
% 0.18/0.59 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #162: exists( #65, #57 ), references = 4, size of lhs = 3:
% 0.18/0.59 pppp15-{F}(V0,V1), P_relation_dom-{F}(V0,V2), V2 == V1 | P_relation_rng-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #181: exists( #63, #175 ), references = 1, size of lhs = 5:
% 0.18/0.59 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V1), pppp15-{F}(V1,V2), empty-{F}(V2) | P_relation_dom-{T}(V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #183: mergings( V2 == V4; #179 ), references = 1, size of lhs = 5:
% 0.18/0.59 relation-{F}(V0), pppp15-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), V0 == V2 | P_relation_dom-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #186: mergings( V2 == V4, V0 == V4; #180 ), references = 1, size of lhs = 6:
% 0.18/0.59 relation-{F}(V0), P_empty_set-{F}(V0), pppp15-{F}(V0,V1), empty-{F}(V1), empty-{F}(V2), V0 == V2 | P_relation_dom-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #200: disj( #51, #5+#6+#0 ), references = 1, size of lhs = 4:
% 0.18/0.59 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp1-{F}(V1,V3), element-{F}(V3,V2) | empty-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #202: mergings( V0 == V3; #199 ), references = 1, size of lhs = 5:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1), pppp3-{F}(V2,V1), element-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V3) | empty-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #210: mergings( V2 == V3; #206 ), references = 1, size of lhs = 4:
% 0.18/0.59 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V2 == V0, element-{F}(V3,V2) | pppp16-{T}(V1,V3)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #213: mergings( V2 == V3, V5 == V3; #207 ), references = 1, size of lhs = 5:
% 0.18/0.59 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, pppp1-{F}(V2,V0), element-{F}(V3,V0) | pppp16-{T}(V2,V3)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #216: mergings( V2 == V3, V4 == V3; #208 ), references = 1, size of lhs = 4:
% 0.18/0.59 P_empty_set-{F}(V0), pppp1-{F}(V1,V0), element-{F}(V2,V0), P_singleton-{F}(V3,V0) | pppp16-{T}(V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #244: mergings( V2 == V5, V3 == V4; #239 ), references = 1, size of lhs = 4:
% 0.18/0.59 empty-{F}(V0), pppp15-{F}(V1,V0), P_empty_set-{F}(V2), V1 == V2 | P_relation_dom-{T}(V1,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #248: mergings( V2 == V5, V3 == V4, V0 == V5; #240 ), references = 1, size of lhs = 5:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V1), pppp15-{F}(V1,V0), empty-{F}(V2), V1 == V2 | P_relation_dom-{T}(V1,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #264: mergings( V3 == V5, V2 == V6; #259 ), references = 1, size of lhs = 5:
% 0.18/0.59 empty-{F}(V0), P_relation_dom-{F}(V1,V0), pppp15-{F}(V1,V2), P_empty_set-{F}(V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #268: mergings( V3 == V5, V2 == V6, V0 == V6; #260 ), references = 1, size of lhs = 6:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V1,V0), pppp15-{F}(V1,V2), empty-{F}(V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #273: mergings( V3 == V6, V2 == V4, V0 == V4, V4 == V6; #261 ), references = 1, size of lhs = 5:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), pppp15-{F}(V0,V1), P_unordered_pair-{F}(V2,V3,V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #283: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #277 ), references = 1, size of lhs = 2:
% 0.18/0.59 empty-{F}(V0), P_empty_set-{F}(V0) | pppp15-{T}(V0,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #303: exists( #67, #299 ), references = 1, size of lhs = 0:
% 0.18/0.59 FALSE | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of learnt formulas = 30
% 0.18/0.59
% 0.18/0.59
% 0.18/0.59 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59
% 0.18/0.59 randbase = 1
%------------------------------------------------------------------------------