TSTP Solution File: SET791+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 1.66s 1.89s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 02:06:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.66/1.89 GeoParameters:
% 1.66/1.89
% 1.66/1.89 tptp_input = 1
% 1.66/1.89 tptp_output = 0
% 1.66/1.89 nonempty = 1
% 1.66/1.89 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.89 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.66/1.89
% 1.66/1.89
% 1.66/1.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.89
% 1.66/1.89 RuleSystem INPUT:
% 1.66/1.89
% 1.66/1.89 Initial Rules:
% 1.66/1.89 #0: input, references = 4, size of lhs = 1:
% 1.66/1.89 order-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #1: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp0-{F}(V0,V1) | order-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #2: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp0-{F}(V0,V1), member-{F}(V2,V1) | apply-{T}(V0,V2,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #3: input, references = 6, size of lhs = 6:
% 1.66/1.89 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
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #4: input, references = 3, size of lhs = 6:
% 1.66/1.89 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)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #5: input, references = 3, size of lhs = 2:
% 1.66/1.89 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp29-{T}(V0,V1), pppp30-{T}(V0,V1), pppp31-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #6: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp29-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #7: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp30-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #8: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp31-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #9: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #10: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp15-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #11: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp14-{F}(V0,V1,V2,V3) | EXISTS V4: pppp13-{T}(V0,V1,V4,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #12: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp14-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #13: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp14-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #14: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp13-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V2,V4) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #15: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp13-{F}(V0,V1,V2,V3,V4) | apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #16: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp13-{F}(V0,V1,V2,V3,V4) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #17: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #18: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp12-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #19: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp11-{F}(V0,V1,V3,V3) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #20: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp11-{F}(V0,V1,V2,V3) | apply-{T}(V0,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #21: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp11-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #22: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp11-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #23: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp10-{F}(V0,V1,V2), apply-{F}(V0,V2,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #24: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp10-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #25: input, references = 3, size of lhs = 1:
% 1.66/1.89 total_order-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #26: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp1-{F}(V0,V1) | total_order-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #27: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp1-{F}(V0,V1) | order-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #28: input, references = 3, size of lhs = 3:
% 1.66/1.89 pppp1-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1) | apply-{T}(V0,V3,V2), apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #29: input, references = 3, size of lhs = 1:
% 1.66/1.89 order-{F}(V0,V1) | pppp1-{T}(V0,V1), pppp32-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #30: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp32-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #31: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #32: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp17-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #33: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp16-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #34: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp16-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #35: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp16-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #36: input, references = 3, size of lhs = 1:
% 1.66/1.89 upper_bound-{F}(V2,V0,V1) | pppp2-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #37: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp2-{F}(V0,V1,V2) | upper_bound-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #38: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp2-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #39: input, references = 3, size of lhs = 3:
% 1.66/1.89 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp33-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #40: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp33-{F}(V0,V1,V2) | EXISTS V3: pppp18-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #41: input, references = 6, size of lhs = 2:
% 1.66/1.89 pppp18-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #42: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp18-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #43: input, references = 3, size of lhs = 1:
% 1.66/1.89 lower_bound-{F}(V2,V0,V1) | pppp3-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #44: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp3-{F}(V0,V1,V2) | lower_bound-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #45: input, references = 4, size of lhs = 2:
% 1.66/1.89 pppp3-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #46: input, references = 4, size of lhs = 3:
% 1.66/1.89 #-{F} V0, #-{F} V1, #-{F} V2 | pppp3-{T}(V0,V1,V2), pppp34-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #47: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp34-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #48: input, references = 4, size of lhs = 2:
% 1.66/1.89 pppp19-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #49: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp19-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #50: input, references = 4, size of lhs = 1:
% 1.66/1.89 greatest-{F}(V2,V0,V1) | pppp4-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #51: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp4-{F}(V0,V1,V2) | greatest-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #52: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #53: input, references = 7, size of lhs = 2:
% 1.66/1.89 pppp4-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #54: input, references = 6, size of lhs = 2:
% 1.66/1.89 #-{F} V0, member-{F}(V2,V1) | pppp4-{T}(V0,V1,V2), pppp35-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #55: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp35-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #56: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp20-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #57: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp20-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #58: input, references = 3, size of lhs = 1:
% 1.66/1.89 least-{F}(V2,V0,V1) | pppp5-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #59: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp5-{F}(V0,V1,V2) | least-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #60: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #61: input, references = 6, size of lhs = 2:
% 1.66/1.89 pppp5-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #62: input, references = 5, size of lhs = 2:
% 1.66/1.89 #-{F} V0, member-{F}(V2,V1) | pppp5-{T}(V0,V1,V2), pppp36-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #63: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp36-{F}(V0,V1,V2) | EXISTS V3: pppp21-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #64: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp21-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #65: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp21-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #66: input, references = 3, size of lhs = 1:
% 1.66/1.89 max-{F}(V2,V0,V1) | pppp6-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #67: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp6-{F}(V0,V1,V2) | max-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #68: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #69: input, references = 4, size of lhs = 4:
% 1.66/1.89 pppp6-{F}(V0,V1,V2), member-{F}(V3,V1), apply-{F}(V0,V2,V3), V2 == V3 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #70: input, references = 5, size of lhs = 2:
% 1.66/1.89 #-{F} V0, member-{F}(V2,V1) | pppp6-{T}(V0,V1,V2), pppp37-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #71: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp37-{F}(V0,V1,V2) | EXISTS V3: pppp22-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #72: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp22-{F}(V0,V1,V2,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #73: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp22-{F}(V0,V1,V2,V3) | apply-{T}(V0,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #74: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp22-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #75: input, references = 3, size of lhs = 1:
% 1.66/1.89 min-{F}(V2,V0,V1) | pppp7-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #76: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp7-{F}(V0,V1,V2) | min-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #77: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp7-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #78: input, references = 3, size of lhs = 4:
% 1.66/1.89 pppp7-{F}(V0,V1,V2), member-{F}(V3,V1), apply-{F}(V0,V3,V2), V2 == V3 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #79: input, references = 4, size of lhs = 2:
% 1.66/1.89 #-{F} V0, member-{F}(V2,V1) | pppp7-{T}(V0,V1,V2), pppp38-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #80: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V0,V1,V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #81: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp23-{F}(V0,V1,V2,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #82: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp23-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #83: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp23-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #84: input, references = 3, size of lhs = 1:
% 1.66/1.89 least_upper_bound-{F}(V0,V1,V2,V3) | pppp8-{T}(V2,V3,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #85: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp8-{F}(V2,V3,V1,V0) | least_upper_bound-{T}(V0,V1,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #86: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp8-{F}(V0,V1,V2,V3) | member-{T}(V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #87: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp8-{F}(V0,V1,V2,V3) | upper_bound-{T}(V3,V0,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #88: input, references = 3, size of lhs = 3:
% 1.66/1.89 pppp8-{F}(V0,V1,V2,V3), member-{F}(V4,V1), upper_bound-{F}(V4,V0,V2) | apply-{T}(V0,V3,V4)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #89: input, references = 3, size of lhs = 3:
% 1.66/1.89 #-{F} V1, member-{F}(V3,V2), upper_bound-{F}(V3,V0,V2) | pppp8-{T}(V0,V1,V2,V3), pppp39-{T}(V0,V1,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #90: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp39-{F}(V0,V1,V2,V3) | EXISTS V4: pppp24-{T}(V0,V1,V2,V4,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #91: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp24-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V4,V3) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #92: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp24-{F}(V0,V1,V2,V3,V4) | upper_bound-{T}(V3,V0,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #93: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp24-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #94: input, references = 3, size of lhs = 1:
% 1.66/1.89 greatest_lower_bound-{F}(V0,V1,V2,V3) | pppp9-{T}(V2,V3,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #95: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp9-{F}(V2,V3,V1,V0) | greatest_lower_bound-{T}(V0,V1,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #96: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp9-{F}(V0,V1,V2,V3) | member-{T}(V3,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #97: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp9-{F}(V0,V1,V2,V3) | lower_bound-{T}(V3,V0,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #98: input, references = 3, size of lhs = 3:
% 1.66/1.89 pppp9-{F}(V0,V1,V2,V3), member-{F}(V4,V1), lower_bound-{F}(V4,V0,V2) | apply-{T}(V0,V4,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #99: input, references = 3, size of lhs = 3:
% 1.66/1.89 #-{F} V1, member-{F}(V3,V2), lower_bound-{F}(V3,V0,V2) | pppp9-{T}(V0,V1,V2,V3), pppp40-{T}(V0,V1,V2,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #100: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp40-{F}(V0,V1,V2,V3) | EXISTS V4: pppp25-{T}(V0,V1,V2,V4,V3)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #101: input, references = 3, size of lhs = 2:
% 1.66/1.89 pppp25-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V3,V4) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #102: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp25-{F}(V0,V1,V2,V3,V4) | lower_bound-{T}(V3,V0,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #103: input, references = 3, size of lhs = 1:
% 1.66/1.89 pppp25-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #104: input, references = 4, size of lhs = 0:
% 1.66/1.89 FALSE | EXISTS V0: pppp28-{T}(V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #105: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp28-{F}(V0) | EXISTS V1: pppp27-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #106: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp27-{F}(V0,V1) | EXISTS V2: pppp26-{T}(V0,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #107: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp27-{F}(V0,V1) | order-{T}(V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #108: input, references = 4, size of lhs = 2:
% 1.66/1.89 pppp26-{F}(V0,V1,V2), max-{F}(V2,V0,V1) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #109: input, references = 4, size of lhs = 1:
% 1.66/1.89 pppp26-{F}(V0,V1,V2) | greatest-{T}(V2,V0,V1)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 number of initial rules = 110
% 1.66/1.89
% 1.66/1.89 Simplifiers:
% 1.66/1.89 #110: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #111: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #112: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #113: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #114: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #115: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #116: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #117: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #118: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #119: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #120: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #121: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #122: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #123: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #124: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #125: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #126: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #127: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #128: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #129: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp24-{F}(V0,V1,V2,V3,V4), pppp24-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #130: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp25-{F}(V0,V1,V2,V3,V4), pppp25-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #131: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp26-{F}(V0,V1,V2), pppp26-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #132: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp26-{F}(V0,V1,V2), pppp26-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #133: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp26-{F}(V0,V1,V2), pppp26-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #134: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp27-{F}(V0,V1), pppp27-{F}(V0,V3), V1 == V3 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #135: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp27-{F}(V0,V1), pppp27-{F}(V2,V3), V0 == V2 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #136: unsound, references = 3, size of lhs = 3:
% 1.66/1.89 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 number of simplifiers = 27
% 1.66/1.89
% 1.66/1.89 Learnt:
% 1.66/1.89 #149: disj( #54, #53+#3 ), references = 1, size of lhs = 7:
% 1.66/1.89 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) | pppp35-{T}(V3,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #161: disj( #70, input ), references = 1, size of lhs = 4:
% 1.66/1.89 member-{F}(V0,V1), member-{F}(V2,V1), V0 == V2, apply-{F}(V3,V0,V2) | pppp37-{T}(V3,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #177: disj( #62, #61+#3 ), references = 1, size of lhs = 7:
% 1.66/1.89 member-{F}(V0,V1), member-{F}(V0,V2), pppp0-{F}(V3,V2), apply-{F}(V3,V0,V4), V4 == V0, member-{F}(V4,V1), member-{F}(V4,V2) | pppp36-{T}(V3,V1,V4)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #178: disj( #62, #61+#41 ), references = 1, size of lhs = 3:
% 1.66/1.89 member-{F}(V0,V1), member-{F}(V2,V1), pppp18-{F}(V3,V4,V0,V2) | pppp36-{T}(V3,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #192: exists( #47, #190 ), references = 1, size of lhs = 2:
% 1.66/1.89 pppp34-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #194: disj( #62, exists( #47, #190 ) ), references = 1, size of lhs = 2:
% 1.66/1.89 member-{F}(V0,V1), pppp34-{F}(V2,V1,V0) | pppp36-{T}(V2,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #208: disj( #54, #53+#41 ), references = 1, size of lhs = 3:
% 1.66/1.89 member-{F}(V0,V1), member-{F}(V2,V1), pppp18-{F}(V3,V4,V0,V2) | pppp35-{T}(V3,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #221: disj( #79, input ), references = 1, size of lhs = 4:
% 1.66/1.89 member-{F}(V0,V1), member-{F}(V2,V1), V2 == V0, apply-{F}(V3,V0,V2) | pppp38-{T}(V3,V1,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #242: disj( #54, #53+#69 ), references = 1, size of lhs = 5:
% 1.66/1.89 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V3,V1), V3 == V0, pppp6-{F}(V4,V2,V3) | pppp35-{T}(V4,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #252: disj( #46, #45+#41 ), references = 1, size of lhs = 2:
% 1.66/1.89 member-{F}(V0,V1), pppp18-{F}(V2,V3,V4,V0) | pppp34-{T}(V2,V1,V4)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #273: disj( #70, #67+#108 ), references = 1, size of lhs = 2:
% 1.66/1.89 member-{F}(V0,V1), pppp26-{F}(V2,V1,V0) | pppp37-{T}(V2,V1,V0)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #303: exists( #71, #300 ), references = 1, size of lhs = 4:
% 1.66/1.89 pppp0-{F}(V0,V1), pppp37-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V2), member-{F}(V2,V1) | pppp22-{T}(V0,V1,V2,V2)
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #310: exists( #106, #308 ), references = 1, size of lhs = 2:
% 1.66/1.89 pppp27-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #314: exists( #105, #312 ), references = 1, size of lhs = 1:
% 1.66/1.89 pppp28-{F}(V0) | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 #316: exists( #104, #313 ), references = 1, size of lhs = 0:
% 1.66/1.89 FALSE | FALSE
% 1.66/1.89 (used 0 times, uses = {})
% 1.66/1.89
% 1.66/1.89 number of learnt formulas = 15
% 1.66/1.89
% 1.66/1.89
% 1.66/1.89 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.89
% 1.66/1.89 randbase = 1
%------------------------------------------------------------------------------