TSTP Solution File: SET789+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:16:43 EDT 2022
% Result : Theorem 0.52s 0.71s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 : Sat Jul 23 02:53:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.52/0.71 GeoParameters:
% 0.52/0.71
% 0.52/0.71 tptp_input = 1
% 0.52/0.71 tptp_output = 0
% 0.52/0.71 nonempty = 1
% 0.52/0.71 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.71 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.52/0.71
% 0.52/0.71
% 0.52/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.71
% 0.52/0.71 RuleSystem INPUT:
% 0.52/0.71
% 0.52/0.71 Initial Rules:
% 0.52/0.71 #0: input, references = 4, size of lhs = 1:
% 0.52/0.71 order-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #1: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp0-{F}(V0,V1) | order-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #2: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp0-{F}(V0,V1), member-{F}(V2,V1) | apply-{T}(V0,V2,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #3: input, references = 5, size of lhs = 6:
% 0.52/0.71 pppp0-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1), apply-{F}(V0,V3,V2), apply-{F}(V0,V2,V3), V3 == V2 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #4: input, references = 3, size of lhs = 6:
% 0.52/0.71 pppp0-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1), apply-{F}(V0,V3,V2), member-{F}(V4,V1), apply-{F}(V0,V4,V3) | apply-{T}(V0,V4,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #5: input, references = 3, size of lhs = 2:
% 0.52/0.71 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp30-{T}(V0,V1), pppp31-{T}(V0,V1), pppp32-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #6: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp30-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #7: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp31-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #8: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp32-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #9: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #10: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp15-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #11: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp14-{F}(V0,V1,V2,V3) | EXISTS V4: pppp13-{T}(V0,V1,V4,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #12: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp14-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #13: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp14-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #14: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp13-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V2,V4) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #15: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp13-{F}(V0,V1,V2,V3,V4) | apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #16: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp13-{F}(V0,V1,V2,V3,V4) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #17: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #18: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp12-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #19: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp11-{F}(V0,V1,V3,V3) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #20: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp11-{F}(V0,V1,V2,V3) | apply-{T}(V0,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #21: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp11-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #22: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp11-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #23: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp10-{F}(V0,V1,V2), apply-{F}(V0,V2,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #24: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp10-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #25: input, references = 3, size of lhs = 1:
% 0.52/0.71 total_order-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #26: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp1-{F}(V0,V1) | total_order-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #27: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp1-{F}(V0,V1) | order-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #28: input, references = 3, size of lhs = 3:
% 0.52/0.71 pppp1-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1) | apply-{T}(V0,V3,V2), apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #29: input, references = 3, size of lhs = 1:
% 0.52/0.71 order-{F}(V0,V1) | pppp1-{T}(V0,V1), pppp33-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #30: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp33-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #31: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #32: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp17-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #33: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp16-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #34: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp16-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #35: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp16-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #36: input, references = 3, size of lhs = 1:
% 0.52/0.71 upper_bound-{F}(V2,V0,V1) | pppp2-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #37: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp2-{F}(V0,V1,V2) | upper_bound-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #38: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp2-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #39: input, references = 3, size of lhs = 3:
% 0.52/0.71 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp34-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #40: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp34-{F}(V0,V1,V2) | EXISTS V3: pppp18-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #41: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp18-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #42: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp18-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #43: input, references = 3, size of lhs = 1:
% 0.52/0.71 lower_bound-{F}(V2,V0,V1) | pppp3-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #44: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp3-{F}(V0,V1,V2) | lower_bound-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #45: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp3-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #46: input, references = 3, size of lhs = 3:
% 0.52/0.71 #-{F} V0, #-{F} V1, #-{F} V2 | pppp3-{T}(V0,V1,V2), pppp35-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #47: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp35-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #48: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp19-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #49: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp19-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #50: input, references = 5, size of lhs = 1:
% 0.52/0.71 greatest-{F}(V2,V0,V1) | pppp4-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #51: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp4-{F}(V0,V1,V2) | greatest-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #52: input, references = 5, size of lhs = 1:
% 0.52/0.71 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #53: input, references = 6, size of lhs = 2:
% 0.52/0.71 pppp4-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #54: input, references = 4, size of lhs = 2:
% 0.52/0.71 #-{F} V0, member-{F}(V2,V1) | pppp4-{T}(V0,V1,V2), pppp36-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #55: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp36-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #56: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp20-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #57: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp20-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #58: input, references = 3, size of lhs = 1:
% 0.52/0.71 least-{F}(V2,V0,V1) | pppp5-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #59: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp5-{F}(V0,V1,V2) | least-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #60: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #61: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp5-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #62: input, references = 3, size of lhs = 2:
% 0.52/0.71 #-{F} V0, member-{F}(V2,V1) | pppp5-{T}(V0,V1,V2), pppp37-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #63: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp37-{F}(V0,V1,V2) | EXISTS V3: pppp21-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #64: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp21-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #65: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp21-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #66: input, references = 3, size of lhs = 1:
% 0.52/0.71 max-{F}(V2,V0,V1) | pppp6-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #67: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp6-{F}(V0,V1,V2) | max-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #68: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #69: input, references = 3, size of lhs = 4:
% 0.52/0.71 pppp6-{F}(V0,V1,V2), member-{F}(V3,V1), apply-{F}(V0,V2,V3), V2 == V3 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #70: input, references = 4, size of lhs = 2:
% 0.52/0.71 #-{F} V0, member-{F}(V2,V1) | pppp6-{T}(V0,V1,V2), pppp38-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #71: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp22-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #72: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp22-{F}(V0,V1,V2,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #73: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp22-{F}(V0,V1,V2,V3) | apply-{T}(V0,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #74: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp22-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #75: input, references = 3, size of lhs = 1:
% 0.52/0.71 min-{F}(V2,V0,V1) | pppp7-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #76: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp7-{F}(V0,V1,V2) | min-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #77: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp7-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #78: input, references = 3, size of lhs = 4:
% 0.52/0.71 pppp7-{F}(V0,V1,V2), member-{F}(V3,V1), apply-{F}(V0,V3,V2), V2 == V3 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #79: input, references = 3, size of lhs = 2:
% 0.52/0.71 #-{F} V0, member-{F}(V2,V1) | pppp7-{T}(V0,V1,V2), pppp39-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #80: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp39-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #81: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp23-{F}(V0,V1,V2,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #82: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp23-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #83: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp23-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #84: input, references = 3, size of lhs = 1:
% 0.52/0.71 least_upper_bound-{F}(V0,V1,V2,V3) | pppp8-{T}(V2,V3,V1,V0)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #85: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp8-{F}(V2,V3,V1,V0) | least_upper_bound-{T}(V0,V1,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #86: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp8-{F}(V0,V1,V2,V3) | member-{T}(V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #87: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp8-{F}(V0,V1,V2,V3) | upper_bound-{T}(V3,V0,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #88: input, references = 3, size of lhs = 3:
% 0.52/0.71 pppp8-{F}(V0,V1,V2,V3), member-{F}(V4,V1), upper_bound-{F}(V4,V0,V2) | apply-{T}(V0,V3,V4)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #89: input, references = 3, size of lhs = 3:
% 0.52/0.71 #-{F} V1, member-{F}(V3,V2), upper_bound-{F}(V3,V0,V2) | pppp8-{T}(V0,V1,V2,V3), pppp40-{T}(V0,V1,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #90: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp40-{F}(V0,V1,V2,V3) | EXISTS V4: pppp24-{T}(V0,V1,V2,V4,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #91: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp24-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V4,V3) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #92: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp24-{F}(V0,V1,V2,V3,V4) | upper_bound-{T}(V3,V0,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #93: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp24-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #94: input, references = 3, size of lhs = 1:
% 0.52/0.71 greatest_lower_bound-{F}(V0,V1,V2,V3) | pppp9-{T}(V2,V3,V1,V0)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #95: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp9-{F}(V2,V3,V1,V0) | greatest_lower_bound-{T}(V0,V1,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #96: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp9-{F}(V0,V1,V2,V3) | member-{T}(V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #97: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp9-{F}(V0,V1,V2,V3) | lower_bound-{T}(V3,V0,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #98: input, references = 3, size of lhs = 3:
% 0.52/0.71 pppp9-{F}(V0,V1,V2,V3), member-{F}(V4,V1), lower_bound-{F}(V4,V0,V2) | apply-{T}(V0,V4,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #99: input, references = 3, size of lhs = 3:
% 0.52/0.71 #-{F} V1, member-{F}(V3,V2), lower_bound-{F}(V3,V0,V2) | pppp9-{T}(V0,V1,V2,V3), pppp41-{T}(V0,V1,V2,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #100: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp41-{F}(V0,V1,V2,V3) | EXISTS V4: pppp25-{T}(V0,V1,V2,V4,V3)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #101: input, references = 3, size of lhs = 2:
% 0.52/0.71 pppp25-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V3,V4) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #102: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp25-{F}(V0,V1,V2,V3,V4) | lower_bound-{T}(V3,V0,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #103: input, references = 3, size of lhs = 1:
% 0.52/0.71 pppp25-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #104: input, references = 4, size of lhs = 0:
% 0.52/0.71 FALSE | EXISTS V0: pppp29-{T}(V0)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #105: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp29-{F}(V0) | EXISTS V1: pppp28-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #106: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp28-{F}(V0,V1) | EXISTS V2: pppp27-{T}(V0,V1,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #107: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp28-{F}(V0,V1) | order-{T}(V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #108: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp27-{F}(V0,V1,V2) | EXISTS V3: pppp26-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #109: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp27-{F}(V0,V1,V2) | greatest-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #110: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp26-{F}(V0,V1,V2,V2) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #111: input, references = 4, size of lhs = 1:
% 0.52/0.71 pppp26-{F}(V0,V1,V2,V3) | greatest-{T}(V2,V0,V1)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 number of initial rules = 112
% 0.52/0.71
% 0.52/0.71 Simplifiers:
% 0.52/0.71 #112: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #113: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #114: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #115: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #116: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #117: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #118: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #119: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #120: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #121: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #122: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #123: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #124: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #125: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #126: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #127: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #128: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #129: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #130: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #131: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp24-{F}(V0,V1,V2,V3,V4), pppp24-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #132: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp25-{F}(V0,V1,V2,V3,V4), pppp25-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #133: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #134: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #135: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #136: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #137: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #138: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #139: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp27-{F}(V0,V1,V2), pppp27-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #140: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #141: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp28-{F}(V0,V1), pppp28-{F}(V2,V3), V0 == V2 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #142: unsound, references = 3, size of lhs = 3:
% 0.52/0.71 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 number of simplifiers = 31
% 0.52/0.71
% 0.52/0.71 Learnt:
% 0.52/0.71 #155: disj( #54, #53+#3 ), references = 1, size of lhs = 7:
% 0.52/0.71 member-{F}(V0,V1), member-{F}(V0,V2), pppp0-{F}(V3,V2), apply-{F}(V3,V0,V4), V4 == V0, member-{F}(V4,V2), member-{F}(V4,V1) | pppp36-{T}(V3,V1,V0)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #167: disj( #70, input ), references = 1, size of lhs = 4:
% 0.52/0.71 member-{F}(V0,V1), member-{F}(V2,V1), V0 == V2, apply-{F}(V3,V0,V2) | pppp38-{T}(V3,V1,V0)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #191: exists( #108, #189 ), references = 1, size of lhs = 4:
% 0.52/0.71 pppp0-{F}(V0,V1), pppp27-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3), member-{F}(V3,V1) | pppp26-{T}(V0,V1,V3,V2)
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #197: exists( #106, #195 ), references = 1, size of lhs = 2:
% 0.52/0.71 pppp28-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #201: exists( #105, #199 ), references = 1, size of lhs = 1:
% 0.52/0.71 pppp29-{F}(V0) | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 #203: exists( #104, #200 ), references = 1, size of lhs = 0:
% 0.52/0.71 FALSE | FALSE
% 0.52/0.71 (used 0 times, uses = {})
% 0.52/0.71
% 0.52/0.71 number of learnt formulas = 6
% 0.52/0.71
% 0.52/0.71
% 0.52/0.71 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.71
% 0.52/0.71 randbase = 1
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