TSTP Solution File: SEU284+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:17:42 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 19:13:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.51 GeoParameters:
% 0.18/0.51
% 0.18/0.51 tptp_input = 1
% 0.18/0.51 tptp_output = 0
% 0.18/0.51 nonempty = 1
% 0.18/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 RuleSystem INPUT:
% 0.18/0.51
% 0.18/0.51 Initial Rules:
% 0.18/0.51 #0: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 4, size of lhs = 4:
% 0.18/0.51 pppp1-{F}(V0), P_relation_dom-{F}(V1,V0), relation-{F}(V1), function-{F}(V1) | EXISTS V3: pppp0-{T}(V1,V0,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 4, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2), P_apply-{F}(V0,V2,V4), P_singleton-{F}(V2,V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 5, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2), P_apply-{F}(V0,V2,V3), P_singleton-{F}(V2,V4) | in-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 4, size of lhs = 2:
% 0.18/0.51 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 3, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp2-{F}(V0) | function-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp2-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 4, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | pppp14-{T}(V0), pppp15-{T}(V0), pppp16-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp14-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 4, size of lhs = 1:
% 0.18/0.51 pppp15-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp16-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 5, size of lhs = 6:
% 0.18/0.51 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V4), P_singleton-{F}(V3,V5), in-{F}(V3,V1), V4 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #13: input, references = 4, size of lhs = 3:
% 0.18/0.51 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2), V2 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: input, references = 4, size of lhs = 2:
% 0.18/0.51 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2) | function-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: input, references = 6, size of lhs = 2:
% 0.18/0.51 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: input, references = 4, size of lhs = 2:
% 0.18/0.51 pppp6-{F}(V0,V1), P_singleton-{F}(V0,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: input, references = 3, size of lhs = 2:
% 0.18/0.51 pppp6-{F}(V0,V1), P_singleton-{F}(V0,V2) | in-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: input, references = 4, size of lhs = 2:
% 0.18/0.51 pppp5-{F}(V0,V1), P_singleton-{F}(V0,V2) | EXISTS V3: pppp4-{T}(V3,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #19: input, references = 4, size of lhs = 2:
% 0.18/0.51 pppp5-{F}(V0,V1), P_singleton-{F}(V0,V2) | in-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #20: input, references = 4, size of lhs = 1:
% 0.18/0.51 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #21: input, references = 4, size of lhs = 2:
% 0.18/0.51 pppp4-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #22: input, references = 4, size of lhs = 1:
% 0.18/0.51 pppp3-{F}(V1,V1,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #23: input, references = 4, size of lhs = 2:
% 0.18/0.51 pppp3-{F}(V0,V1,V2), V0 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: input, references = 3, size of lhs = 1:
% 0.18/0.51 empty-{F}(V0) | function-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #25: input, references = 3, size of lhs = 1:
% 0.18/0.51 empty-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #26: input, references = 3, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #29: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #30: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #31: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #32: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #33: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #34: input, references = 5, size of lhs = 4:
% 0.18/0.51 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #35: input, references = 5, size of lhs = 3:
% 0.18/0.51 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #36: input, references = 3, size of lhs = 3:
% 0.18/0.51 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #37: input, references = 4, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #38: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp9-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #39: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp9-{F}(V0) | empty-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #40: input, references = 4, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #41: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp10-{F}(V0) | empty-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #42: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #43: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp11-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #44: input, references = 3, size of lhs = 2:
% 0.18/0.51 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #45: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #46: input, references = 3, size of lhs = 2:
% 0.18/0.51 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #47: input, references = 3, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #48: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp13-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #49: input, references = 3, size of lhs = 1:
% 0.18/0.51 pppp13-{F}(V0) | relation-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #50: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #51: input, references = 4, size of lhs = 2:
% 0.18/0.51 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #52: input, references = 7, size of lhs = 3:
% 0.18/0.51 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #53: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #54: input, references = 7, size of lhs = 4:
% 0.18/0.51 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #55: input, references = 5, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #56: input, references = 5, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #57: input, references = 8, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #58: input, references = 3, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 59
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of simplifiers = 21
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #85: mergings( V0 == V2; #82 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #87: mergings( V0 == V2; #83 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #105: exists( #57, #103 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_empty_set-{F}(V0), empty-{F}(V1), pppp5-{F}(V2,V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #107: exists( #9, #104 ), references = 1, size of lhs = 3:
% 0.18/0.51 pppp14-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #114: mergings( V2 == V3; #111 ), references = 1, size of lhs = 2:
% 0.18/0.51 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #116: mergings( V2 == V3; #112 ), references = 1, size of lhs = 3:
% 0.18/0.51 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #132: mergings( V0 == V3; #129 ), references = 1, size of lhs = 3:
% 0.18/0.52 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #135: mergings( V0 == V3, V2 == V3; #130 ), references = 1, size of lhs = 4:
% 0.18/0.52 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #139: exists( #55, #13 ), references = 2, size of lhs = 1:
% 0.18/0.52 pppp7-{F}(V0,V1) | P_relation_dom-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #149: mergings( V2 == V3; #146 ), references = 1, size of lhs = 3:
% 0.18/0.52 pppp16-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | pppp7-{T}(V1,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #151: mergings( V2 == V3; #147 ), references = 1, size of lhs = 4:
% 0.18/0.52 pppp16-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp7-{T}(V2,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #153: exists( #57, #16 ), references = 1, size of lhs = 1:
% 0.18/0.52 pppp6-{F}(V0,V1) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #155: exists( #10, #152 ), references = 1, size of lhs = 1:
% 0.18/0.52 pppp15-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #175: exists( #18, #21 ), references = 1, size of lhs = 2:
% 0.18/0.52 pppp5-{F}(V0,V1), P_singleton-{F}(V0,V2) | pppp4-{T}(V2,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #177: exists( #56, #12 ), references = 1, size of lhs = 4:
% 0.18/0.52 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V1), P_singleton-{F}(V3,V4) | P_apply-{T}(V0,V3,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #179: exists( #20, #23 ), references = 1, size of lhs = 1:
% 0.18/0.52 pppp4-{F}(V0,V1) | pppp3-{T}(V1,V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #183: exists( #57, #181 ), references = 1, size of lhs = 1:
% 0.18/0.52 pppp5-{F}(V0,V1) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #185: exists( #9, #182 ), references = 1, size of lhs = 1:
% 0.18/0.52 pppp14-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #187: disj( #8, exists( #9, #182 ), exists( #10, #152 ) ), references = 2, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | pppp16-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #194: exists( #56, #191 ), references = 1, size of lhs = 3:
% 0.18/0.52 in-{F}(V0,V1), pppp0-{F}(V2,V0,V1), P_singleton-{F}(V1,V3) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #196: mergings( V5 == V6; #192 ), references = 2, size of lhs = 4:
% 0.18/0.52 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2), pppp0-{F}(V0,V1,V3), P_singleton-{F}(V3,V4) | P_apply-{T}(V0,V3,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #198: exists( #57, #193 ), references = 1, size of lhs = 2:
% 0.18/0.52 in-{F}(V0,V1), pppp0-{F}(V2,V0,V1) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #204: mergings( V3 == V5; #202 ), references = 1, size of lhs = 3:
% 0.18/0.52 pppp7-{F}(V0,V1), P_relation_dom-{F}(V0,V2), pppp0-{F}(V0,V1,V3) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #207: mergings( V0 == V3; #205 ), references = 2, size of lhs = 5:
% 0.18/0.52 pppp1-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp7-{F}(V1,V0), P_relation_dom-{F}(V1,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #213: exists( #11, #211 ), references = 1, size of lhs = 2:
% 0.18/0.52 pppp16-{F}(V0), pppp1-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #216: exists( #0, #214 ), references = 1, size of lhs = 0:
% 0.18/0.52 FALSE | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of learnt formulas = 28
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 randbase = 1
%------------------------------------------------------------------------------