TSTP Solution File: SEU230+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU230+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 1.76s 1.98s
% Output : Refutation 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU230+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 18:26:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.76/1.98 GeoParameters:
% 1.76/1.98
% 1.76/1.98 tptp_input = 1
% 1.76/1.98 tptp_output = 0
% 1.76/1.98 nonempty = 1
% 1.76/1.98 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.98 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.76/1.98
% 1.76/1.98
% 1.76/1.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.98
% 1.76/1.98 RuleSystem INPUT:
% 1.76/1.98
% 1.76/1.98 Initial Rules:
% 1.76/1.98 #0: input, references = 5, size of lhs = 2:
% 1.76/1.98 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #1: input, references = 3, size of lhs = 1:
% 1.76/1.98 empty-{F}(V0) | function-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #2: input, references = 3, size of lhs = 1:
% 1.76/1.98 empty-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #3: input, references = 3, size of lhs = 3:
% 1.76/1.98 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #4: input, references = 4, size of lhs = 3:
% 1.76/1.98 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #5: input, references = 5, size of lhs = 4:
% 1.76/1.98 P_succ-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V0,V2,V3), V1 == V3 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #6: input, references = 7, size of lhs = 1:
% 1.76/1.98 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #7: input, references = 3, size of lhs = 3:
% 1.76/1.98 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #8: input, references = 6, size of lhs = 3:
% 1.76/1.98 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #9: input, references = 8, size of lhs = 1:
% 1.76/1.98 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #10: input, references = 6, size of lhs = 2:
% 1.76/1.98 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp16-{T}(V0,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #11: input, references = 5, size of lhs = 1:
% 1.76/1.98 pppp16-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #12: input, references = 3, size of lhs = 2:
% 1.76/1.98 pppp3-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #13: input, references = 5, size of lhs = 2:
% 1.76/1.98 pppp3-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #14: input, references = 6, size of lhs = 1:
% 1.76/1.98 P_set_union2-{F}(V0,V1,V3) | pppp2-{T}(V0,V1,V3)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #15: input, references = 3, size of lhs = 3:
% 1.76/1.98 P_set_union2-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), V2 == V3 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #16: input, references = 3, size of lhs = 2:
% 1.76/1.98 pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #17: input, references = 7, size of lhs = 2:
% 1.76/1.98 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #18: input, references = 4, size of lhs = 3:
% 1.76/1.98 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp17-{T}(V0,V1,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #19: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #20: input, references = 3, size of lhs = 3:
% 1.76/1.98 pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #21: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #22: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #23: input, references = 4, size of lhs = 2:
% 1.76/1.98 #-{F} V1, in-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #24: input, references = 6, size of lhs = 2:
% 1.76/1.98 #-{F} V0, in-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #25: input, references = 4, size of lhs = 1:
% 1.76/1.98 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #26: input, references = 6, size of lhs = 1:
% 1.76/1.98 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #27: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #28: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #29: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #30: input, references = 3, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), P_succ-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #31: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #32: input, references = 3, size of lhs = 4:
% 1.76/1.98 P_empty_set-{F}(V0), relation-{F}(V1), P_set_union2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #33: input, references = 3, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #34: input, references = 3, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #35: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #36: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #37: input, references = 4, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #38: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #39: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp6-{F}(V0) | function-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #40: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp6-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #41: input, references = 4, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #42: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp7-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #43: input, references = 5, size of lhs = 1:
% 1.76/1.98 pppp7-{F}(V0) | empty-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #44: input, references = 4, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #45: input, references = 5, size of lhs = 1:
% 1.76/1.98 pppp8-{F}(V0) | empty-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #46: input, references = 4, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #47: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp9-{F}(V0) | function-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #48: input, references = 5, size of lhs = 1:
% 1.76/1.98 pppp9-{F}(V0) | empty-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #49: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp9-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #50: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #51: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp10-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #52: input, references = 3, size of lhs = 2:
% 1.76/1.98 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #53: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #54: input, references = 3, size of lhs = 2:
% 1.76/1.98 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #55: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #56: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #57: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp12-{F}(V0) | function-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #58: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp12-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #59: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #60: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp13-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #61: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp13-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #62: input, references = 3, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #63: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp14-{F}(V0) | function-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #64: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #65: input, references = 3, size of lhs = 1:
% 1.76/1.98 pppp14-{F}(V0) | relation-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #66: input, references = 4, size of lhs = 1:
% 1.76/1.98 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #67: input, references = 5, size of lhs = 3:
% 1.76/1.98 pppp15-{F}(V0), P_succ-{F}(V0,V1), in-{F}(V0,V1) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #68: input, references = 4, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #69: input, references = 3, size of lhs = 2:
% 1.76/1.98 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #70: input, references = 4, size of lhs = 2:
% 1.76/1.98 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #71: input, references = 7, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #72: input, references = 5, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #73: input, references = 7, size of lhs = 4:
% 1.76/1.98 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #74: input, references = 6, size of lhs = 2:
% 1.76/1.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #75: input, references = 5, size of lhs = 1:
% 1.76/1.98 #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #76: input, references = 7, size of lhs = 1:
% 1.76/1.98 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #77: input, references = 4, size of lhs = 0:
% 1.76/1.98 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 number of initial rules = 78
% 1.76/1.98
% 1.76/1.98 Simplifiers:
% 1.76/1.98 #78: unsound, references = 3, size of lhs = 3:
% 1.76/1.98 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #79: unsound, references = 3, size of lhs = 3:
% 1.76/1.98 P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #80: unsound, references = 3, size of lhs = 3:
% 1.76/1.98 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #81: unsound, references = 3, size of lhs = 3:
% 1.76/1.98 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.98
% 1.76/1.98 #82: unsound, references = 3, size of lhs = 3:
% 1.76/1.98 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.98 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #83: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #84: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #85: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #86: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #87: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #88: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #89: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #90: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #91: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #92: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #93: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #94: unsound, references = 3, size of lhs = 3:
% 1.76/1.99 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 number of simplifiers = 17
% 1.76/1.99
% 1.76/1.99 Learnt:
% 1.76/1.99 #97: disj( #10, #9+#0 ), references = 1, size of lhs = 1:
% 1.76/1.99 #-{F} V0 | pppp16-{T}(V0,V0)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #99: exists( #74, #37 ), references = 1, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #102: exists( #11, #100 ), references = 1, size of lhs = 3:
% 1.76/1.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp16-{F}(V2,V1) | pppp3-{T}(V2,V1,V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #111: mergings( V0 == V2; #108 ), references = 1, size of lhs = 1:
% 1.76/1.99 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #113: mergings( V0 == V2; #109 ), references = 1, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #118: disj( #10, input ), references = 1, size of lhs = 3:
% 1.76/1.99 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp16-{T}(V0,V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #125: mergings( V0 == V2; #122 ), references = 1, size of lhs = 1:
% 1.76/1.99 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #127: mergings( V0 == V2; #123 ), references = 1, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #134: mergings( V0 == V2; #131 ), references = 1, size of lhs = 1:
% 1.76/1.99 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #136: mergings( V0 == V2; #132 ), references = 1, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #140: exists( #74, #68 ), references = 2, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #147: exists( #74, #4 ), references = 2, size of lhs = 1:
% 1.76/1.99 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #148: exists( #74, #5 ), references = 4, size of lhs = 2:
% 1.76/1.99 P_succ-{F}(V0,V1), P_singleton-{F}(V0,V2) | P_set_union2-{T}(V0,V2,V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #152: exists( #76, #150 ), references = 2, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), P_succ-{F}(V0,V1) | P_singleton-{T}(V0,V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #161: disj( #70, #23+#17+#8 ), references = 4, size of lhs = 5:
% 1.76/1.99 P_empty_set-{F}(V0), element-{F}(V1,V2), pppp0-{F}(V3,V4), V1 == V3, pppp2-{F}(V2,V5,V4) | empty-{T}(V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #174: exists( #75, #172 ), references = 1, size of lhs = 2:
% 1.76/1.99 P_empty_set-{F}(V0), pppp15-{F}(V0) | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #179: disj( #18, input ), references = 1, size of lhs = 3:
% 1.76/1.99 P_set_union2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp17-{T}(V0,V1,V3)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #191: exists( #76, #189 ), references = 1, size of lhs = 1:
% 1.76/1.99 P_succ-{F}(V0,V0) | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #209: exists( #76, #207 ), references = 1, size of lhs = 3:
% 1.76/1.99 P_succ-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #212: disj( #10, input ), references = 1, size of lhs = 3:
% 1.76/1.99 in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp16-{T}(V2,V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #236: mergings( V2 == V3; #232 ), references = 1, size of lhs = 4:
% 1.76/1.99 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp2-{F}(V3,V4,V2), V3 == V0 | pppp5-{T}(V3,V1)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #239: mergings( V2 == V3, V0 == V3; #233 ), references = 1, size of lhs = 4:
% 1.76/1.99 P_empty_set-{F}(V0), in-{F}(V1,V0), pppp0-{F}(V2,V3), pppp2-{F}(V0,V4,V3) | pppp5-{T}(V0,V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #242: mergings( V2 == V3, V0 == V3; #234 ), references = 1, size of lhs = 5:
% 1.76/1.99 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, pppp0-{F}(V2,V3), pppp2-{F}(V0,V4,V3) | pppp5-{T}(V0,V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #255: exists( #11, #253 ), references = 1, size of lhs = 2:
% 1.76/1.99 pppp16-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp3-{T}(V0,V1,V0), pppp3-{T}(V0,V1,V2)
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #264: exists( #76, #262 ), references = 1, size of lhs = 2:
% 1.76/1.99 pppp15-{F}(V0), P_succ-{F}(V0,V1) | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #266: exists( #75, #263 ), references = 1, size of lhs = 1:
% 1.76/1.99 pppp15-{F}(V0) | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #268: exists( #66, #265 ), references = 1, size of lhs = 1:
% 1.76/1.99 P_empty_set-{F}(V0) | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 #270: exists( #77, #267 ), references = 1, size of lhs = 0:
% 1.76/1.99 FALSE | FALSE
% 1.76/1.99 (used 0 times, uses = {})
% 1.76/1.99
% 1.76/1.99 number of learnt formulas = 28
% 1.76/1.99
% 1.76/1.99
% 1.76/1.99 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.99
% 1.76/1.99 randbase = 1
%------------------------------------------------------------------------------