TSTP Solution File: SET957+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET957+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 7.79s 7.95s
% Output : Refutation 7.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET957+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 01:59:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.79/7.95 GeoParameters:
% 7.79/7.95
% 7.79/7.95 tptp_input = 1
% 7.79/7.95 tptp_output = 0
% 7.79/7.95 nonempty = 1
% 7.79/7.95 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.79/7.95 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.79/7.95
% 7.79/7.95
% 7.79/7.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.79/7.95 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.79/7.95
% 7.79/7.95 RuleSystem INPUT:
% 7.79/7.95
% 7.79/7.95 Initial Rules:
% 7.79/7.95 #0: input, references = 6, size of lhs = 2:
% 7.79/7.95 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #1: input, references = 4, size of lhs = 3:
% 7.79/7.95 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #2: input, references = 5, size of lhs = 5:
% 7.79/7.95 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
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #3: input, references = 4, size of lhs = 2:
% 7.79/7.95 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #4: input, references = 3, size of lhs = 0:
% 7.79/7.95 FALSE | EXISTS V0: pppp0-{T}(V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #5: input, references = 3, size of lhs = 1:
% 7.79/7.95 pppp0-{F}(V0) | empty-{T}(V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #6: input, references = 3, size of lhs = 0:
% 7.79/7.95 FALSE | EXISTS V0: pppp1-{T}(V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #7: input, references = 3, size of lhs = 2:
% 7.79/7.95 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #8: input, references = 3, size of lhs = 1:
% 7.79/7.95 #-{F} V0 | subset-{T}(V0,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #9: input, references = 6, size of lhs = 3:
% 7.79/7.95 P_cartesian_product2-{F}(V0,V1,V3), subset-{F}(V5,V3), in-{F}(V2,V5) | EXISTS V4: pppp3-{T}(V0,V1,V2,V4)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #10: input, references = 6, size of lhs = 1:
% 7.79/7.95 pppp3-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V2,V4,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #11: input, references = 3, size of lhs = 1:
% 7.79/7.95 pppp3-{F}(V0,V1,V2,V3) | in-{T}(V3,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #12: input, references = 4, size of lhs = 3:
% 7.79/7.95 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), V1 == V4 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #13: input, references = 3, size of lhs = 2:
% 7.79/7.95 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #14: input, references = 4, size of lhs = 0:
% 7.79/7.95 FALSE | EXISTS V0: pppp9-{T}(V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #15: input, references = 5, size of lhs = 1:
% 7.79/7.95 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #16: input, references = 4, size of lhs = 1:
% 7.79/7.95 pppp9-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #17: input, references = 4, size of lhs = 1:
% 7.79/7.95 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #18: input, references = 4, size of lhs = 1:
% 7.79/7.95 pppp8-{F}(V1,V1) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #19: input, references = 5, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1) | in-{T}(V4,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #20: input, references = 5, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V0) | in-{T}(V4,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #21: input, references = 4, size of lhs = 1:
% 7.79/7.95 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #22: input, references = 5, size of lhs = 2:
% 7.79/7.95 pppp6-{F}(V0,V1,V2), P_cartesian_product2-{F}(V2,V1,V3) | subset-{T}(V0,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #23: input, references = 4, size of lhs = 1:
% 7.79/7.95 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #24: input, references = 5, size of lhs = 2:
% 7.79/7.95 pppp4-{F}(V0,V1,V2), P_cartesian_product2-{F}(V2,V1,V3) | subset-{T}(V0,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #25: input, references = 4, size of lhs = 3:
% 7.79/7.95 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #26: input, references = 5, size of lhs = 3:
% 7.79/7.95 pppp10-{F}(V0,V1,V2), in-{F}(V2,V1), in-{F}(V2,V0) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #27: input, references = 13, size of lhs = 1:
% 7.79/7.95 pppp10-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #28: input, references = 5, size of lhs = 2:
% 7.79/7.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #29: input, references = 5, size of lhs = 2:
% 7.79/7.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #30: input, references = 3, size of lhs = 1:
% 7.79/7.95 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #31: input, references = 5, size of lhs = 2:
% 7.79/7.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 number of initial rules = 32
% 7.79/7.95
% 7.79/7.95 Simplifiers:
% 7.79/7.95 #32: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #33: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #34: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #35: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #36: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #37: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #38: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #39: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #40: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #41: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #42: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #43: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #44: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #45: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #46: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #47: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #48: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #49: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #50: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V1 == V3 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #51: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #52: unsound, references = 3, size of lhs = 3:
% 7.79/7.95 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 number of simplifiers = 21
% 7.79/7.95
% 7.79/7.95 Learnt:
% 7.79/7.95 #54: exists( #28, #1 ), references = 2, size of lhs = 1:
% 7.79/7.95 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #57: exists( #28, #55 ), references = 1, size of lhs = 3:
% 7.79/7.95 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)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #59: exists( #29, #2 ), references = 1, size of lhs = 3:
% 7.79/7.95 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)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #68: disj( #27, #20+#0 ), references = 1, size of lhs = 4:
% 7.79/7.95 pppp8-{F}(V0,V1), in-{F}(V1,V2), pppp10-{F}(V0,V3,V2), P_ordered_pair-{F}(V4,V5,V2) | in-{T}(V2,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #71: disj( #27, #67+#0 ), references = 1, size of lhs = 4:
% 7.79/7.95 pppp8-{F}(V0,V1), pppp10-{F}(V0,V2,V2), pppp10-{F}(V2,V3,V1), P_ordered_pair-{F}(V4,V5,V2) | in-{T}(V1,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #75: disj( #27, input ), references = 1, size of lhs = 1:
% 7.79/7.95 pppp10-{F}(V0,V1,V1) | in-{T}(V1,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #86: disj( #27, input ), references = 1, size of lhs = 1:
% 7.79/7.95 pppp10-{F}(V0,V1,V0) | in-{T}(V0,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #87: disj( #27, input ), references = 1, size of lhs = 3:
% 7.79/7.95 in-{F}(V0,V1), pppp10-{F}(V1,V2,V0), pppp10-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #137: exists( #29, #12 ), references = 5, size of lhs = 1:
% 7.79/7.95 pppp2-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V2,V3,V1)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #152: exists( #10, #150 ), references = 1, size of lhs = 2:
% 7.79/7.95 empty-{F}(V0), pppp3-{F}(V1,V2,V0,V3) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #154: exists( #9, #151 ), references = 2, size of lhs = 4:
% 7.79/7.95 empty-{F}(V0), in-{F}(V0,V1), subset-{F}(V1,V2), P_cartesian_product2-{F}(V3,V4,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #161: disj( #27, exists( #9, #151 ) ), references = 1, size of lhs = 4:
% 7.79/7.95 empty-{F}(V0), pppp10-{F}(V1,V2,V0), subset-{F}(V1,V3), P_cartesian_product2-{F}(V4,V5,V3) | in-{T}(V0,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #253: exists( #10, #249 ), references = 1, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), in-{F}(V0,V1), pppp3-{F}(V2,V3,V0,V4) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #254: exists( #10, #250 ), references = 1, size of lhs = 5:
% 7.79/7.95 pppp8-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V2,V3), pppp10-{F}(V3,V0,V2), pppp3-{F}(V4,V5,V2,V6) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #257: exists( #9, #251 ), references = 1, size of lhs = 5:
% 7.79/7.95 in-{F}(V0,V1), subset-{F}(V1,V2), pppp8-{F}(V0,V3), in-{F}(V0,V3), P_cartesian_product2-{F}(V4,V5,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #258: exists( #9, #252 ), references = 1, size of lhs = 7:
% 7.79/7.95 pppp8-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V2,V3), subset-{F}(V3,V4), in-{F}(V2,V5), pppp10-{F}(V5,V0,V2), P_cartesian_product2-{F}(V6,V7,V4) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #260: disj( #27, exists( #9, #251 ) ), references = 1, size of lhs = 4:
% 7.79/7.95 subset-{F}(V0,V1), pppp8-{F}(V2,V0), pppp10-{F}(V0,V3,V2), P_cartesian_product2-{F}(V4,V5,V1) | in-{T}(V2,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #312: disj( #27, exists( #9, #252 ) ), references = 1, size of lhs = 5:
% 7.79/7.95 pppp8-{F}(V0,V1), subset-{F}(V1,V2), pppp10-{F}(V1,V0,V3), pppp10-{F}(V1,V4,V3), P_cartesian_product2-{F}(V5,V6,V2) | in-{T}(V3,V4)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #382: disj( #27, input ), references = 1, size of lhs = 3:
% 7.79/7.95 in-{F}(V0,V1), pppp10-{F}(V2,V1,V0), pppp10-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #456: disj( #27, input ), references = 1, size of lhs = 3:
% 7.79/7.95 in-{F}(V0,V1), pppp10-{F}(V2,V1,V0), pppp10-{F}(V3,V2,V0) | in-{T}(V0,V3)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #541: disj( #27, input ), references = 1, size of lhs = 2:
% 7.79/7.95 in-{F}(V0,V1), pppp10-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #643: exists( #10, #637 ), references = 1, size of lhs = 5:
% 7.79/7.95 pppp8-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V3), pppp10-{F}(V1,V3,V2), pppp3-{F}(V4,V5,V2,V6) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #649: exists( #9, #640 ), references = 2, size of lhs = 7:
% 7.79/7.95 subset-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V3), pppp8-{F}(V3,V4), in-{F}(V2,V5), pppp10-{F}(V4,V5,V2), P_cartesian_product2-{F}(V6,V7,V1) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #658: exists( #25, #652 ), references = 2, size of lhs = 6:
% 7.79/7.95 subset-{F}(V0,V1), pppp8-{F}(V0,V2), V2 == V0, subset-{F}(V2,V3), P_cartesian_product2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V6,V7,V1) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #813: exists( #31, #809 ), references = 1, size of lhs = 5:
% 7.79/7.95 pppp8-{F}(V0,V1), V1 == V0, subset-{F}(V1,V2), pppp6-{F}(V0,V3,V4), P_cartesian_product2-{F}(V5,V6,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #814: exists( #31, #810 ), references = 1, size of lhs = 6:
% 7.79/7.95 in-{F}(V0,V1), in-{F}(V0,V2), pppp8-{F}(V2,V3), in-{F}(V0,V4), pppp10-{F}(V3,V4,V0), pppp6-{F}(V1,V5,V6) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #817: exists( #21, #811 ), references = 1, size of lhs = 5:
% 7.79/7.95 pppp7-{F}(V0,V1), pppp8-{F}(V0,V2), V2 == V0, subset-{F}(V2,V3), P_cartesian_product2-{F}(V4,V5,V3) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #818: exists( #21, #812 ), references = 1, size of lhs = 6:
% 7.79/7.95 pppp7-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V3), pppp8-{F}(V3,V4), in-{F}(V2,V5), pppp10-{F}(V4,V5,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #821: mergings( V1 == V3; #819 ), references = 2, size of lhs = 4:
% 7.79/7.95 pppp8-{F}(V0,V1), V1 == V0, subset-{F}(V1,V2), P_cartesian_product2-{F}(V3,V4,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #823: exists( #15, #819 ), references = 1, size of lhs = 3:
% 7.79/7.95 pppp9-{F}(V0), subset-{F}(V0,V1), P_cartesian_product2-{F}(V2,V3,V1) | pppp8-{T}(V0,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #904: exists( #31, #898 ), references = 1, size of lhs = 3:
% 7.79/7.95 empty-{F}(V0), in-{F}(V0,V1), pppp4-{F}(V1,V2,V3) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #905: exists( #31, #899 ), references = 1, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), V1 == V0, pppp4-{F}(V1,V2,V3) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #909: exists( #23, #901 ), references = 1, size of lhs = 3:
% 7.79/7.95 empty-{F}(V0), in-{F}(V0,V1), pppp5-{F}(V1,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #910: exists( #23, #902 ), references = 1, size of lhs = 3:
% 7.79/7.95 pppp8-{F}(V0,V1), V1 == V0, pppp5-{F}(V1,V2) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #914: exists( #16, #906 ), references = 1, size of lhs = 3:
% 7.79/7.95 pppp9-{F}(V0), empty-{F}(V1), in-{F}(V1,V0) | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #915: exists( #16, #907 ), references = 2, size of lhs = 3:
% 7.79/7.95 pppp9-{F}(V0), pppp8-{F}(V1,V0), V0 == V1 | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #918: exists( #15, #915 ), references = 1, size of lhs = 1:
% 7.79/7.95 pppp9-{F}(V0) | pppp8-{T}(V0,V0)
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 #921: exists( #14, #919 ), references = 1, size of lhs = 0:
% 7.79/7.95 FALSE | FALSE
% 7.79/7.95 (used 0 times, uses = {})
% 7.79/7.95
% 7.79/7.95 number of learnt formulas = 38
% 7.79/7.95
% 7.79/7.95
% 7.79/7.95 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.79/7.95
% 7.79/7.95 randbase = 1
%------------------------------------------------------------------------------