TSTP Solution File: SET901+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET901+1 : 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 06:16:55 EDT 2022
% Result : Theorem 2.13s 2.30s
% Output : Refutation 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET901+1 : 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 02:18:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.13/2.30 GeoParameters:
% 2.13/2.30
% 2.13/2.30 tptp_input = 1
% 2.13/2.30 tptp_output = 0
% 2.13/2.30 nonempty = 1
% 2.13/2.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.13/2.30
% 2.13/2.30
% 2.13/2.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.30
% 2.13/2.30 RuleSystem INPUT:
% 2.13/2.30
% 2.13/2.30 Initial Rules:
% 2.13/2.30 #0: input, references = 4, size of lhs = 3:
% 2.13/2.30 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #1: input, references = 4, size of lhs = 1:
% 2.13/2.30 #-{F} V0 | subset-{T}(V0,V0)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #2: input, references = 3, size of lhs = 1:
% 2.13/2.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #3: input, references = 3, size of lhs = 1:
% 2.13/2.30 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #4: input, references = 3, size of lhs = 1:
% 2.13/2.30 pppp2-{F}(V0) | empty-{T}(V0)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #5: input, references = 3, size of lhs = 1:
% 2.13/2.30 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #6: input, references = 3, size of lhs = 2:
% 2.13/2.30 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #7: input, references = 4, size of lhs = 1:
% 2.13/2.30 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #8: input, references = 5, size of lhs = 1:
% 2.13/2.30 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #9: input, references = 6, size of lhs = 1:
% 2.13/2.30 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #10: input, references = 7, size of lhs = 4:
% 2.13/2.30 pppp4-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V2,V3), pppp0-{F}(V0,V1,V2), subset-{F}(V0,V3) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #11: input, references = 4, size of lhs = 2:
% 2.13/2.30 pppp4-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V2,V3) | subset-{T}(V0,V3), pppp0-{T}(V0,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #12: input, references = 8, size of lhs = 5:
% 2.13/2.30 P_empty_set-{F}(V0), #-{F} V1, P_singleton-{F}(V2,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V2,V3,V6) | pppp7-{T}(V1,V2,V3,V0,V4,V5,V6)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #13: input, references = 4, size of lhs = 1:
% 2.13/2.30 pppp7-{F}(V6,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V6,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #14: input, references = 4, size of lhs = 1:
% 2.13/2.30 pppp7-{F}(V5,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V5,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #15: input, references = 4, size of lhs = 1:
% 2.13/2.30 pppp7-{F}(V4,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V4,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #16: input, references = 4, size of lhs = 1:
% 2.13/2.30 pppp7-{F}(V3,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V3,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #17: input, references = 4, size of lhs = 6:
% 2.13/2.30 pppp7-{F}(V0,V1,V2,V3,V4,V5,V6), pppp0-{F}(V0,V1,V2), V0 == V3, V0 == V4, V0 == V5, V0 == V6 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #18: input, references = 4, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), subset-{F}(V1,V4) | pppp1-{T}(V1,V2,V3)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #19: input, references = 6, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp1-{F}(V1,V2,V3) | subset-{T}(V1,V4)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #20: input, references = 7, size of lhs = 5:
% 2.13/2.30 P_empty_set-{F}(V0), #-{F} V1, P_singleton-{F}(V2,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V2,V3,V6) | pppp8-{T}(V1,V2,V3,V0,V4,V5,V6)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #21: input, references = 3, size of lhs = 1:
% 2.13/2.30 pppp8-{F}(V6,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V6,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #22: input, references = 5, size of lhs = 1:
% 2.13/2.30 pppp8-{F}(V5,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V5,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #23: input, references = 3, size of lhs = 1:
% 2.13/2.30 pppp8-{F}(V4,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V4,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #24: input, references = 4, size of lhs = 1:
% 2.13/2.30 pppp8-{F}(V3,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V3,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #25: input, references = 4, size of lhs = 6:
% 2.13/2.30 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp1-{F}(V0,V1,V2), V0 == V3, V0 == V4, V0 == V5, V0 == V6 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #26: input, references = 8, size of lhs = 2:
% 2.13/2.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #27: input, references = 4, size of lhs = 0:
% 2.13/2.30 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #28: input, references = 9, size of lhs = 1:
% 2.13/2.30 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 number of initial rules = 29
% 2.13/2.30
% 2.13/2.30 Simplifiers:
% 2.13/2.30 #29: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #30: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #31: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #32: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #33: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #34: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #35: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #36: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #37: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #38: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #39: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #40: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp7-{F}(V0,V1,V2,V3,V4,V5,V6), pppp7-{F}(V7,V8,V9,V10,V11,V12,V13), V3 == V10 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #41: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp7-{F}(V0,V1,V2,V3,V4,V5,V6), pppp7-{F}(V7,V1,V9,V10,V11,V12,V13), V4 == V11 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #42: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp7-{F}(V0,V1,V2,V3,V4,V5,V6), pppp7-{F}(V7,V8,V2,V10,V11,V12,V13), V5 == V12 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #43: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp7-{F}(V0,V1,V2,V3,V4,V5,V6), pppp7-{F}(V7,V1,V2,V10,V11,V12,V13), V6 == V13 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #44: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V8,V9,V10,V11,V12,V13), V3 == V10 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #45: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V1,V9,V10,V11,V12,V13), V4 == V11 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #46: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V8,V2,V10,V11,V12,V13), V5 == V12 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #47: unsound, references = 3, size of lhs = 3:
% 2.13/2.30 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V1,V2,V10,V11,V12,V13), V6 == V13 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 number of simplifiers = 19
% 2.13/2.30
% 2.13/2.30 Learnt:
% 2.13/2.30 #49: exists( #26, #0 ), references = 3, size of lhs = 1:
% 2.13/2.30 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #58: disj( #11, #18+#25 ), references = 2, size of lhs = 9:
% 2.13/2.30 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), P_unordered_pair-{F}(V2,V3,V4), P_unordered_pair-{F}(V5,V6,V4), pppp8-{F}(V1,V5,V6,V7,V8,V9,V10), V1 == V7, V1 == V8, V1 == V9, V1 == V10 | pppp0-{T}(V1,V2,V3)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #75: mergings( V3 == V4, V4 == V5, V6 == V7, V8 == V9; #70 ), references = 1, size of lhs = 7:
% 2.13/2.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V3,V1,V4), V3 == V0, V3 == V2, P_singleton-{F}(V4,V5), V3 == V5 | P_unordered_pair-{T}(V1,V4,V3)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #85: mergings( V2 == V3, V3 == V4, V4 == V5, V8 == V9, V9 == V10; #79 ), references = 1, size of lhs = 6:
% 2.13/2.30 P_empty_set-{F}(V0), subset-{F}(V1,V1), V1 == V0, P_singleton-{F}(V2,V3), V1 == V3, pppp4-{F}(V1,V2,V4) | P_singleton-{T}(V4,V1)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #95: mergings( V3 == V4, V4 == V5, V6 == V7; #91 ), references = 2, size of lhs = 4:
% 2.13/2.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V3,V1,V4), P_singleton-{F}(V4,V3) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #108: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #97 ), references = 2, size of lhs = 6:
% 2.13/2.30 subset-{F}(V0,V0), pppp5-{F}(V0,V1), P_empty_set-{F}(V2), V0 == V2, P_singleton-{F}(V1,V3), V0 == V3 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #110: exists( #28, #108 ), references = 1, size of lhs = 4:
% 2.13/2.30 subset-{F}(V0,V0), pppp5-{F}(V0,V1), P_empty_set-{F}(V2), V0 == V2 | P_singleton-{T}(V1,V0)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #134: mergings( V3 == V4, V4 == V5, V7 == V8; #130 ), references = 2, size of lhs = 4:
% 2.13/2.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V2,V1,V3), P_singleton-{F}(V3,V4) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #136: exists( #28, #134 ), references = 1, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V2,V1,V3) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #138: exists( #9, #135 ), references = 1, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), P_singleton-{F}(V2,V1) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #142: mergings( V2 == V3; #140 ), references = 2, size of lhs = 4:
% 2.13/2.30 pppp6-{F}(V0), subset-{F}(V0,V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #144: exists( #28, #95 ), references = 1, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V2,V3,V1) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #180: mergings( V3 == V4, V5 == V7, V6 == V8; #176 ), references = 1, size of lhs = 4:
% 2.13/2.30 P_empty_set-{F}(V0), pppp4-{F}(V0,V1,V2), P_singleton-{F}(V1,V3), P_singleton-{F}(V2,V4) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #184: mergings( V2 == V3, V5 == V6; #181 ), references = 1, size of lhs = 3:
% 2.13/2.30 P_empty_set-{F}(V0), pppp4-{F}(V0,V1,V2), P_singleton-{F}(V1,V3) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #187: mergings( V2 == V3; #185 ), references = 1, size of lhs = 2:
% 2.13/2.30 P_empty_set-{F}(V0), pppp4-{F}(V0,V1,V2) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #190: mergings( V0 == V3; #188 ), references = 1, size of lhs = 2:
% 2.13/2.30 P_empty_set-{F}(V0), pppp5-{F}(V0,V1) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #193: mergings( V0 == V2; #191 ), references = 2, size of lhs = 2:
% 2.13/2.30 pppp6-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #197: mergings( V0 == V2; #195 ), references = 1, size of lhs = 1:
% 2.13/2.30 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 #200: exists( #27, #198 ), references = 1, size of lhs = 0:
% 2.13/2.30 FALSE | FALSE
% 2.13/2.30 (used 0 times, uses = {})
% 2.13/2.30
% 2.13/2.30 number of learnt formulas = 19
% 2.13/2.30
% 2.13/2.30
% 2.13/2.30 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.30
% 2.13/2.30 randbase = 1
%------------------------------------------------------------------------------