TSTP Solution File: SET954+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:00 EDT 2022
% Result : Theorem 0.92s 1.12s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 01:23:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.12 GeoParameters:
% 0.92/1.12
% 0.92/1.12 tptp_input = 1
% 0.92/1.12 tptp_output = 0
% 0.92/1.12 nonempty = 1
% 0.92/1.12 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.12 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.92/1.12
% 0.92/1.12
% 0.92/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.12
% 0.92/1.12 RuleSystem INPUT:
% 0.92/1.12
% 0.92/1.12 Initial Rules:
% 0.92/1.12 #0: input, references = 8, size of lhs = 2:
% 0.92/1.12 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #1: input, references = 4, size of lhs = 3:
% 0.92/1.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #2: input, references = 5, size of lhs = 5:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #3: input, references = 3, size of lhs = 2:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #4: input, references = 11, size of lhs = 3:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V4), P_cartesian_product2-{F}(V2,V3,V5), in-{F}(V4,V5) | pppp0-{T}(V0,V1,V2,V3)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #5: input, references = 6, size of lhs = 3:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V4), P_cartesian_product2-{F}(V2,V3,V5), pppp0-{F}(V0,V1,V2,V3) | in-{T}(V4,V5)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #6: input, references = 6, size of lhs = 1:
% 0.92/1.12 pppp0-{F}(V0,V1,V2,V3) | in-{T}(V0,V2)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #7: input, references = 8, size of lhs = 1:
% 0.92/1.12 pppp0-{F}(V0,V1,V2,V3) | in-{T}(V1,V3)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #8: input, references = 6, size of lhs = 2:
% 0.92/1.12 in-{F}(V0,V2), in-{F}(V1,V3) | pppp0-{T}(V0,V1,V2,V3)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #9: input, references = 3, size of lhs = 0:
% 0.92/1.12 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #10: input, references = 3, size of lhs = 1:
% 0.92/1.12 pppp1-{F}(V0) | empty-{T}(V0)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #11: input, references = 3, size of lhs = 0:
% 0.92/1.12 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #12: input, references = 3, size of lhs = 2:
% 0.92/1.12 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #13: input, references = 4, size of lhs = 0:
% 0.92/1.12 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #14: input, references = 4, size of lhs = 1:
% 0.92/1.12 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #15: input, references = 4, size of lhs = 1:
% 0.92/1.12 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #16: input, references = 5, size of lhs = 1:
% 0.92/1.12 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V1,V2,V3)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #17: input, references = 5, size of lhs = 6:
% 0.92/1.12 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V0,V1,V4), P_cartesian_product2-{F}(V2,V3,V5), P_ordered_pair-{F}(V1,V0,V6), P_cartesian_product2-{F}(V3,V2,V7), in-{F}(V6,V7) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #18: input, references = 10, size of lhs = 5:
% 0.92/1.12 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V0,V1,V4), P_cartesian_product2-{F}(V2,V3,V5), P_ordered_pair-{F}(V1,V0,V6), P_cartesian_product2-{F}(V3,V2,V7) | in-{T}(V4,V5)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #19: input, references = 5, size of lhs = 2:
% 0.92/1.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #20: input, references = 6, size of lhs = 2:
% 0.92/1.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #21: input, references = 3, size of lhs = 1:
% 0.92/1.12 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #22: input, references = 14, size of lhs = 2:
% 0.92/1.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 number of initial rules = 23
% 0.92/1.12
% 0.92/1.12 Simplifiers:
% 0.92/1.12 #23: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #24: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #25: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #26: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #27: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #28: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #29: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #30: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #31: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #32: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #33: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #34: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #35: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #36: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #37: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #38: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #39: unsound, references = 3, size of lhs = 3:
% 0.92/1.12 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 number of simplifiers = 17
% 0.92/1.12
% 0.92/1.12 Learnt:
% 0.92/1.12 #41: exists( #19, #1 ), references = 2, size of lhs = 1:
% 0.92/1.12 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #44: exists( #19, #42 ), references = 1, size of lhs = 3:
% 0.92/1.12 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V1,V4,V3)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #46: exists( #20, #2 ), references = 1, size of lhs = 3:
% 0.92/1.12 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #57: exists( #22, #55 ), references = 1, size of lhs = 5:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_cartesian_product2-{F}(V5,V4,V6), P_ordered_pair-{F}(V4,V7,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #59: exists( #22, #56 ), references = 1, size of lhs = 4:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_ordered_pair-{F}(V4,V6,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #61: exists( #16, #58 ), references = 2, size of lhs = 4:
% 0.92/1.12 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V3), P_ordered_pair-{F}(V1,V0,V4), P_ordered_pair-{F}(V2,V5,V3) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #68: exists( #22, #66 ), references = 1, size of lhs = 5:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_cartesian_product2-{F}(V5,V4,V6), P_ordered_pair-{F}(V7,V5,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #70: exists( #22, #67 ), references = 1, size of lhs = 4:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_ordered_pair-{F}(V6,V5,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #78: mergings( V2 == V7, V3 == V6, V4 == V8, V5 == V8; #73 ), references = 1, size of lhs = 3:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V2), pppp3-{F}(V1,V0,V3,V3) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #106: exists( #22, #104 ), references = 1, size of lhs = 10:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), P_ordered_pair-{F}(V7,V8,V2), P_cartesian_product2-{F}(V9,V10,V6), P_ordered_pair-{F}(V8,V11,V12), P_cartesian_product2-{F}(V10,V13,V12), P_ordered_pair-{F}(V14,V11,V2), P_cartesian_product2-{F}(V15,V13,V6) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #115: exists( #22, #113 ), references = 1, size of lhs = 8:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), P_ordered_pair-{F}(V7,V8,V2), P_ordered_pair-{F}(V9,V10,V8), P_cartesian_product2-{F}(V9,V11,V12), P_cartesian_product2-{F}(V13,V12,V6) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #117: exists( #22, #114 ), references = 1, size of lhs = 6:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp3-{F}(V0,V1,V4,V5), P_cartesian_product2-{F}(V6,V7,V5), P_ordered_pair-{F}(V6,V8,V9), P_ordered_pair-{F}(V10,V9,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #132: exists( #22, #130 ), references = 1, size of lhs = 6:
% 0.92/1.12 P_ordered_pair-{F}(V0,V0,V1), P_cartesian_product2-{F}(V2,V2,V1), P_ordered_pair-{F}(V3,V4,V0), P_ordered_pair-{F}(V4,V3,V5), pppp3-{F}(V3,V4,V6,V7), P_cartesian_product2-{F}(V6,V7,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #157: mergings( V7 == V18, V3 == V16, V4 == V15, V5 == V17, V6 == V12; #151 ), references = 1, size of lhs = 9:
% 0.92/1.12 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V2), P_cartesian_product2-{F}(V4,V3,V2), pppp3-{F}(V5,V6,V0,V3), P_ordered_pair-{F}(V6,V5,V7), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V9,V10,V8), P_ordered_pair-{F}(V11,V9,V7), P_ordered_pair-{F}(V12,V11,V8) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #163: mergings( V3 == V13, V4 == V12, V5 == V14, V6 == V10; #158 ), references = 1, size of lhs = 6:
% 0.92/1.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V3,V0,V4), P_ordered_pair-{F}(V5,V3,V2), P_ordered_pair-{F}(V6,V7,V4), P_ordered_pair-{F}(V7,V6,V2), pppp3-{F}(V7,V6,V8,V9) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #167: mergings( V4 == V11, V5 == V9; #164 ), references = 1, size of lhs = 6:
% 0.92/1.12 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), P_ordered_pair-{F}(V0,V1,V4), P_ordered_pair-{F}(V5,V6,V4), P_ordered_pair-{F}(V7,V5,V3), P_ordered_pair-{F}(V8,V7,V4) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #171: mergings( V3 == V6, V4 == V5; #168 ), references = 2, size of lhs = 6:
% 0.92/1.12 pppp5-{F}(V0,V1), P_ordered_pair-{F}(V1,V0,V2), P_ordered_pair-{F}(V0,V1,V3), P_ordered_pair-{F}(V4,V5,V3), P_ordered_pair-{F}(V6,V4,V2), P_ordered_pair-{F}(V7,V6,V3) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #199: exists( #20, #171 ), references = 1, size of lhs = 4:
% 0.92/1.12 pppp5-{F}(V0,V1), P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V3,V2), P_ordered_pair-{F}(V4,V1,V2) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #200: exists( #20, #61 ), references = 1, size of lhs = 3:
% 0.92/1.12 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V3), P_ordered_pair-{F}(V2,V4,V3) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #203: exists( #20, #197 ), references = 1, size of lhs = 1:
% 0.92/1.12 pppp5-{F}(V0,V1) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #204: exists( #20, #198 ), references = 1, size of lhs = 1:
% 0.92/1.12 pppp4-{F}(V0,V1,V0) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #206: exists( #14, #201 ), references = 1, size of lhs = 1:
% 0.92/1.12 pppp6-{F}(V0) | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 #208: exists( #13, #205 ), references = 1, size of lhs = 0:
% 0.92/1.12 FALSE | FALSE
% 0.92/1.12 (used 0 times, uses = {})
% 0.92/1.12
% 0.92/1.12 number of learnt formulas = 23
% 0.92/1.12
% 0.92/1.12
% 0.92/1.12 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.12
% 0.92/1.12 randbase = 1
%------------------------------------------------------------------------------