TSTP Solution File: NUM858+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:13:25 EDT 2022
% Result : Theorem 0.47s 0.70s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 23:56:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.70 GeoParameters:
% 0.47/0.70
% 0.47/0.70 tptp_input = 1
% 0.47/0.70 tptp_output = 0
% 0.47/0.70 nonempty = 1
% 0.47/0.70 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70
% 0.47/0.70 RuleSystem INPUT:
% 0.47/0.70
% 0.47/0.70 Initial Rules:
% 0.47/0.70 #0: input, references = 5, size of lhs = 1:
% 0.47/0.70 #-{F} V0 | lesseq-{T}(V0,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #1: input, references = 3, size of lhs = 2:
% 0.47/0.70 lesseq-{F}(V0,V1), lesseq-{F}(V2,V0) | lesseq-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #2: input, references = 6, size of lhs = 3:
% 0.47/0.70 lesseq-{F}(V0,V1), lesseq-{F}(V1,V0), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #3: input, references = 5, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | lesseq-{T}(V0,V1), lesseq-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #4: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_sum-{F}(V2,V0,V3), P_sum-{F}(V2,V1,V4), lesseq-{F}(V0,V1) | lesseq-{T}(V3,V4)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #5: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_sum-{F}(V2,V0,V3), P_sum-{F}(V2,V1,V4), lesseq-{F}(V3,V4) | lesseq-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #6: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_summation-{F}(V0,V2), P_summation-{F}(V1,V3), lesseq-{F}(V0,V1) | lesseq-{T}(V2,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #7: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_summation-{F}(V0,V2), P_summation-{F}(V1,V3), lesseq-{F}(V2,V3) | lesseq-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #8: input, references = 5, size of lhs = 3:
% 0.47/0.70 P_max-{F}(V0,V1,V2), lesseq-{F}(V1,V0), V2 == V0 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #9: input, references = 5, size of lhs = 3:
% 0.47/0.70 P_max-{F}(V0,V1,V2), lesseq-{F}(V0,V1), V2 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #10: input, references = 7, size of lhs = 1:
% 0.47/0.70 ub-{F}(V0,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #11: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp0-{F}(V0,V1,V2) | ub-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #12: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp0-{F}(V0,V1,V2) | lesseq-{T}(V0,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #13: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp0-{F}(V0,V1,V2) | lesseq-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #14: input, references = 5, size of lhs = 2:
% 0.47/0.70 lesseq-{F}(V0,V2), lesseq-{F}(V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #15: input, references = 6, size of lhs = 3:
% 0.47/0.70 P_max-{F}(V0,V1,V3), model_max-{F}(V0,V1,V2), V2 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #16: input, references = 5, size of lhs = 1:
% 0.47/0.70 P_max-{F}(V0,V1,V3) | model_max-{T}(V0,V1,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #17: input, references = 7, size of lhs = 1:
% 0.47/0.70 model_ub-{F}(V0,V1,V2) | ub-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #18: input, references = 5, size of lhs = 1:
% 0.47/0.70 ub-{F}(V0,V1,V2) | model_ub-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #19: input, references = 5, size of lhs = 1:
% 0.47/0.70 minsol_model_max-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #20: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp1-{F}(V0,V1,V2) | minsol_model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #21: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp1-{F}(V0,V1,V2) | model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #22: input, references = 3, size of lhs = 2:
% 0.47/0.70 pppp1-{F}(V0,V1,V2), model_max-{F}(V0,V1,V3) | lesseq-{T}(V2,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #23: input, references = 4, size of lhs = 1:
% 0.47/0.70 model_max-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2), pppp8-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #24: input, references = 4, size of lhs = 1:
% 0.47/0.70 pppp8-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V1,V3,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #25: input, references = 4, size of lhs = 2:
% 0.47/0.70 pppp3-{F}(V0,V1,V2,V3), lesseq-{F}(V3,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #26: input, references = 4, size of lhs = 1:
% 0.47/0.70 pppp3-{F}(V0,V1,V2,V3) | model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #27: input, references = 8, size of lhs = 1:
% 0.47/0.70 minsol_model_ub-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #28: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp2-{F}(V0,V1,V2) | minsol_model_ub-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #29: input, references = 8, size of lhs = 1:
% 0.47/0.70 pppp2-{F}(V0,V1,V2) | model_ub-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #30: input, references = 8, size of lhs = 2:
% 0.47/0.70 pppp2-{F}(V0,V1,V2), model_ub-{F}(V0,V1,V3) | lesseq-{T}(V2,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #31: input, references = 5, size of lhs = 1:
% 0.47/0.70 model_ub-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2), pppp9-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #32: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V3,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #33: input, references = 5, size of lhs = 2:
% 0.47/0.70 pppp4-{F}(V0,V1,V2,V3), lesseq-{F}(V3,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #34: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp4-{F}(V0,V1,V2,V3) | model_ub-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #35: input, references = 4, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #36: input, references = 4, size of lhs = 1:
% 0.47/0.70 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #37: input, references = 5, size of lhs = 1:
% 0.47/0.70 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #38: input, references = 5, size of lhs = 3:
% 0.47/0.70 pppp5-{F}(V0,V1,V2), minsol_model_max-{F}(V0,V1,V2), minsol_model_ub-{F}(V0,V1,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #39: input, references = 6, size of lhs = 1:
% 0.47/0.70 pppp5-{F}(V0,V1,V2) | minsol_model_ub-{T}(V0,V1,V2), minsol_model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #40: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #41: input, references = 3, size of lhs = 1:
% 0.47/0.70 #-{F} V0 | EXISTS V1: P_summation-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #42: input, references = 5, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of initial rules = 43
% 0.47/0.70
% 0.47/0.70 Simplifiers:
% 0.47/0.70 #43: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #44: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_summation-{F}(V0,V1), P_summation-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #45: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_max-{F}(V0,V1,V2), P_max-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #46: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #47: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #48: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #49: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #50: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #51: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #52: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #53: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of simplifiers = 11
% 0.47/0.70
% 0.47/0.70 Learnt:
% 0.47/0.70 #57: exists( #42, #8 ), references = 2, size of lhs = 1:
% 0.47/0.70 lesseq-{F}(V0,V1) | P_max-{T}(V1,V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #60: exists( #24, #58 ), references = 1, size of lhs = 2:
% 0.47/0.70 pppp8-{F}(V0,V1,V2), P_max-{F}(V0,V1,V3) | pppp3-{T}(V0,V1,V3,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #63: disj( #23, #59+#25 ), references = 3, size of lhs = 3:
% 0.47/0.70 lesseq-{F}(V0,V1), model_max-{F}(V2,V3,V0), P_max-{F}(V2,V3,V1) | pppp1-{T}(V2,V3,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #67: exists( #42, #9 ), references = 2, size of lhs = 1:
% 0.47/0.70 lesseq-{F}(V0,V1) | P_max-{T}(V0,V1,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #84: exists( #32, #80 ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp9-{F}(V0,V1,V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #86: disj( #31, exists( #32, #80 ) ), references = 2, size of lhs = 1:
% 0.47/0.70 model_ub-{F}(V0,V1,V0) | pppp2-{T}(V0,V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #99: disj( #39, #27+#29+#30+#2 ), references = 1, size of lhs = 4:
% 0.47/0.70 lesseq-{F}(V0,V1), V1 == V0, pppp5-{F}(V2,V3,V0), pppp2-{F}(V2,V3,V1) | minsol_model_max-{T}(V2,V3,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #100: disj( #39, #27+#29+#30+#8 ), references = 1, size of lhs = 4:
% 0.47/0.70 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V3), P_max-{F}(V2,V3,V4), V4 == V2 | minsol_model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #101: disj( #39, #27+#29+#30+#9 ), references = 1, size of lhs = 4:
% 0.47/0.70 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V3), P_max-{F}(V3,V2,V4), V4 == V2 | minsol_model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #128: disj( #39, #27+#29+#30+#17+#10+#12+#2 ), references = 1, size of lhs = 3:
% 0.47/0.70 model_ub-{F}(V0,V1,V0), pppp5-{F}(V0,V1,V2), V2 == V0 | minsol_model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #133: exists( #37, #131 ), references = 1, size of lhs = 3:
% 0.47/0.70 pppp6-{F}(V0,V1), model_ub-{F}(V0,V1,V0), P_max-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V0), pppp5-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #135: disj( #132, input ), references = 1, size of lhs = 5:
% 0.47/0.70 pppp6-{F}(V0,V1), model_ub-{F}(V0,V1,V0), minsol_model_max-{F}(V0,V1,V0), minsol_model_ub-{F}(V0,V1,V0), P_max-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #147: disj( #3, #57+#14+#11+#16+#18+#86+#28+#63+#20+#134+#38 ), references = 2, size of lhs = 2:
% 0.47/0.70 lesseq-{F}(V0,V0), pppp6-{F}(V0,V1) | lesseq-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #156: exists( #32, #154 ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp9-{F}(V0,V1,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #158: disj( #31, exists( #32, #154 ) ), references = 2, size of lhs = 1:
% 0.47/0.70 model_ub-{F}(V0,V1,V1) | pppp2-{T}(V0,V1,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #160: disj( #3, input ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp4-{F}(V0,V1,V2,V3) | lesseq-{T}(V2,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #188: disj( #39, #27+#29+#30+#17+#10+#13+#2 ), references = 1, size of lhs = 3:
% 0.47/0.70 model_ub-{F}(V0,V1,V1), pppp5-{F}(V0,V1,V2), V1 == V2 | minsol_model_max-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #193: exists( #37, #191 ), references = 1, size of lhs = 3:
% 0.47/0.70 pppp6-{F}(V0,V1), model_ub-{F}(V0,V1,V1), P_max-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V1), pppp5-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #195: disj( #192, input ), references = 2, size of lhs = 5:
% 0.47/0.70 pppp6-{F}(V0,V1), model_ub-{F}(V0,V1,V1), minsol_model_max-{F}(V0,V1,V1), minsol_model_ub-{F}(V0,V1,V1), P_max-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #220: exists( #36, #218 ), references = 1, size of lhs = 2:
% 0.47/0.70 pppp7-{F}(V0), lesseq-{F}(V0,V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #223: exists( #35, #221 ), references = 1, size of lhs = 0:
% 0.47/0.70 FALSE | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of learnt formulas = 21
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70
% 0.47/0.70 randbase = 1
%------------------------------------------------------------------------------