TSTP Solution File: SEU230+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:17:33 EDT 2022
% Result : Theorem 1.87s 2.09s
% Output : Refutation 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 18:56:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.87/2.09 GeoParameters:
% 1.87/2.09
% 1.87/2.09 tptp_input = 1
% 1.87/2.09 tptp_output = 0
% 1.87/2.09 nonempty = 1
% 1.87/2.09 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.87/2.09 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.87/2.09
% 1.87/2.09
% 1.87/2.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.87/2.09 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.87/2.09
% 1.87/2.09 RuleSystem INPUT:
% 1.87/2.09
% 1.87/2.09 Initial Rules:
% 1.87/2.09 #0: input, references = 6, size of lhs = 2:
% 1.87/2.09 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #1: input, references = 3, size of lhs = 1:
% 1.87/2.09 empty-{F}(V0) | function-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #2: input, references = 3, size of lhs = 1:
% 1.87/2.09 empty-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #3: input, references = 3, size of lhs = 3:
% 1.87/2.09 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #4: input, references = 4, size of lhs = 3:
% 1.87/2.09 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #5: input, references = 5, size of lhs = 4:
% 1.87/2.09 P_succ-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V0,V2,V3), V1 == V3 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #6: input, references = 8, size of lhs = 1:
% 1.87/2.09 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #7: input, references = 3, size of lhs = 3:
% 1.87/2.09 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #8: input, references = 4, size of lhs = 3:
% 1.87/2.09 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #9: input, references = 9, size of lhs = 1:
% 1.87/2.09 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #10: input, references = 6, size of lhs = 2:
% 1.87/2.09 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp17-{T}(V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #11: input, references = 5, size of lhs = 1:
% 1.87/2.09 pppp17-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #12: input, references = 3, size of lhs = 2:
% 1.87/2.09 pppp3-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #13: input, references = 5, size of lhs = 2:
% 1.87/2.09 pppp3-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #14: input, references = 7, size of lhs = 1:
% 1.87/2.09 P_set_union2-{F}(V0,V1,V3) | pppp2-{T}(V0,V1,V3)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #15: input, references = 3, size of lhs = 3:
% 1.87/2.09 P_set_union2-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), V2 == V3 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #16: input, references = 3, size of lhs = 2:
% 1.87/2.09 pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #17: input, references = 7, size of lhs = 2:
% 1.87/2.09 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #18: input, references = 4, size of lhs = 3:
% 1.87/2.09 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp18-{T}(V0,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #19: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #20: input, references = 3, size of lhs = 3:
% 1.87/2.09 pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #21: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #22: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #23: input, references = 3, size of lhs = 2:
% 1.87/2.09 #-{F} V1, in-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #24: input, references = 7, size of lhs = 2:
% 1.87/2.09 #-{F} V0, in-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #25: input, references = 4, size of lhs = 1:
% 1.87/2.09 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #26: input, references = 6, size of lhs = 1:
% 1.87/2.09 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #27: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #28: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #29: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #30: input, references = 3, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), P_succ-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #31: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #32: input, references = 3, size of lhs = 4:
% 1.87/2.09 P_empty_set-{F}(V0), relation-{F}(V1), P_set_union2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #33: input, references = 3, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #34: input, references = 3, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #35: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #36: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #37: input, references = 4, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #38: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #39: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp6-{F}(V0) | function-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #40: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp6-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #41: input, references = 4, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #42: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp7-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #43: input, references = 5, size of lhs = 1:
% 1.87/2.09 pppp7-{F}(V0) | empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #44: input, references = 4, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #45: input, references = 5, size of lhs = 1:
% 1.87/2.09 pppp8-{F}(V0) | empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #46: input, references = 4, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #47: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp9-{F}(V0) | function-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #48: input, references = 5, size of lhs = 1:
% 1.87/2.09 pppp9-{F}(V0) | empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #49: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp9-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #50: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #51: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp10-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #52: input, references = 3, size of lhs = 2:
% 1.87/2.09 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #53: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #54: input, references = 3, size of lhs = 2:
% 1.87/2.09 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #55: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #56: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #57: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp12-{F}(V0) | function-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #58: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp12-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #59: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #60: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp13-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #61: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp13-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #62: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #63: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp14-{F}(V0) | function-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #64: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #65: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp14-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #66: input, references = 3, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #67: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp15-{F}(V0) | function-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #68: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp15-{F}(V0) | relation_non_empty-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #69: input, references = 3, size of lhs = 1:
% 1.87/2.09 pppp15-{F}(V0) | relation-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #70: input, references = 4, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #71: input, references = 5, size of lhs = 3:
% 1.87/2.09 pppp16-{F}(V0), P_succ-{F}(V0,V1), in-{F}(V0,V1) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #72: input, references = 4, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #73: input, references = 3, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #74: input, references = 5, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #75: input, references = 7, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #76: input, references = 5, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #77: input, references = 7, size of lhs = 4:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #78: input, references = 7, size of lhs = 2:
% 1.87/2.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #79: input, references = 5, size of lhs = 1:
% 1.87/2.09 #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #80: input, references = 6, size of lhs = 1:
% 1.87/2.09 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #81: input, references = 4, size of lhs = 0:
% 1.87/2.09 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 number of initial rules = 82
% 1.87/2.09
% 1.87/2.09 Simplifiers:
% 1.87/2.09 #82: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #83: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #84: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #85: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #86: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #87: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #88: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #89: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #90: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #91: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #92: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #93: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #94: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #95: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #96: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #97: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #98: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #99: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #100: unsound, references = 3, size of lhs = 3:
% 1.87/2.09 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 number of simplifiers = 19
% 1.87/2.09
% 1.87/2.09 Learnt:
% 1.87/2.09 #103: disj( #10, #9+#0 ), references = 1, size of lhs = 1:
% 1.87/2.09 #-{F} V0 | pppp17-{T}(V0,V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #105: exists( #78, #37 ), references = 1, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #108: exists( #11, #106 ), references = 1, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V2,V1) | pppp3-{T}(V2,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #117: mergings( V0 == V2; #114 ), references = 1, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #119: mergings( V0 == V2; #115 ), references = 1, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #123: disj( #10, input ), references = 1, size of lhs = 3:
% 1.87/2.09 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp17-{T}(V0,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #130: mergings( V0 == V2; #127 ), references = 1, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #132: mergings( V0 == V2; #128 ), references = 1, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #139: mergings( V0 == V2; #136 ), references = 1, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #141: mergings( V0 == V2; #137 ), references = 1, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #143: exists( #78, #72 ), references = 2, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #149: exists( #78, #4 ), references = 2, size of lhs = 1:
% 1.87/2.09 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #153: disj( #74, input ), references = 1, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #154: disj( #74, input ), references = 4, size of lhs = 4:
% 1.87/2.09 P_empty_set-{F}(V0), element-{F}(V1,V2), pppp0-{F}(V3,V2), V1 == V3 | empty-{T}(V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #165: exists( #80, #163 ), references = 2, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), P_succ-{F}(V0,V1) | P_singleton-{T}(V0,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #172: exists( #79, #170 ), references = 1, size of lhs = 2:
% 1.87/2.09 P_empty_set-{F}(V0), pppp16-{F}(V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #187: exists( #11, #185 ), references = 1, size of lhs = 2:
% 1.87/2.09 pppp17-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp3-{T}(V0,V1,V0), pppp3-{T}(V0,V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #213: mergings( V2 == V3; #210 ), references = 1, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V3,V2) | pppp5-{T}(V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #215: mergings( V2 == V3; #209 ), references = 1, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), V2 == V0 | pppp5-{T}(V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #218: mergings( V2 == V3, V0 == V3; #211 ), references = 1, size of lhs = 4:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, pppp0-{F}(V2,V0) | pppp5-{T}(V0,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #229: disj( #18, input ), references = 1, size of lhs = 3:
% 1.87/2.09 P_set_union2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp18-{T}(V0,V1,V3)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #247: mergings( V0 == V3; #243 ), references = 1, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #250: mergings( V0 == V3, V2 == V3; #244 ), references = 1, size of lhs = 4:
% 1.87/2.09 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #253: mergings( V0 == V3, V2 == V3; #245 ), references = 1, size of lhs = 3:
% 1.87/2.09 P_empty_set-{F}(V0), element-{F}(V1,V0), in-{F}(V2,V0) | in-{T}(V1,V0)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #274: disj( #10, input ), references = 1, size of lhs = 3:
% 1.87/2.09 in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp17-{T}(V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #303: exists( #78, #5 ), references = 4, size of lhs = 2:
% 1.87/2.09 P_succ-{F}(V0,V1), P_singleton-{F}(V0,V2) | P_set_union2-{T}(V0,V2,V1)
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #311: exists( #80, #309 ), references = 2, size of lhs = 2:
% 1.87/2.09 P_succ-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #349: exists( #80, #343 ), references = 1, size of lhs = 1:
% 1.87/2.09 P_succ-{F}(V0,V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #350: exists( #80, #344 ), references = 1, size of lhs = 2:
% 1.87/2.09 P_succ-{F}(V0,V1), P_succ-{F}(V1,V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #351: exists( #80, #345 ), references = 1, size of lhs = 2:
% 1.87/2.09 pppp16-{F}(V0), P_succ-{F}(V0,V1) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #353: exists( #79, #348 ), references = 1, size of lhs = 1:
% 1.87/2.09 pppp16-{F}(V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #355: exists( #70, #352 ), references = 1, size of lhs = 1:
% 1.87/2.09 P_empty_set-{F}(V0) | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 #357: exists( #81, #354 ), references = 1, size of lhs = 0:
% 1.87/2.09 FALSE | FALSE
% 1.87/2.09 (used 0 times, uses = {})
% 1.87/2.09
% 1.87/2.09 number of learnt formulas = 33
% 1.87/2.09
% 1.87/2.09
% 1.87/2.09 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.87/2.09
% 1.87/2.09 randbase = 1
%------------------------------------------------------------------------------