TSTP Solution File: SET687+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET687+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:16:36 EDT 2022
% Result : Theorem 0.63s 0.86s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET687+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 01:53:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.63/0.86 GeoParameters:
% 0.63/0.86
% 0.63/0.86 tptp_input = 1
% 0.63/0.86 tptp_output = 0
% 0.63/0.86 nonempty = 1
% 0.63/0.86 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.86 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.63/0.86
% 0.63/0.86
% 0.63/0.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.86
% 0.63/0.86 RuleSystem INPUT:
% 0.63/0.86
% 0.63/0.86 Initial Rules:
% 0.63/0.86 #0: input, references = 3, size of lhs = 1:
% 0.63/0.86 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #1: input, references = 5, size of lhs = 1:
% 0.63/0.86 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #2: input, references = 3, size of lhs = 2:
% 0.63/0.86 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #3: input, references = 6, size of lhs = 2:
% 0.63/0.86 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp12-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #4: input, references = 4, size of lhs = 1:
% 0.63/0.86 pppp12-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #5: input, references = 4, size of lhs = 2:
% 0.63/0.86 pppp8-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #6: input, references = 4, size of lhs = 1:
% 0.63/0.86 pppp8-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #7: input, references = 3, size of lhs = 1:
% 0.63/0.86 equal_set-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #8: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp1-{F}(V0,V1) | equal_set-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #9: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #10: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #11: input, references = 3, size of lhs = 2:
% 0.63/0.86 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #12: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_power_set-{F}(V1,V2), member-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #13: input, references = 4, size of lhs = 2:
% 0.63/0.86 P_power_set-{F}(V1,V2), subset-{F}(V0,V1) | member-{T}(V0,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #14: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_intersection-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp2-{T}(V1,V2,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #15: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_intersection-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #16: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #17: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #18: input, references = 3, size of lhs = 2:
% 0.63/0.86 member-{F}(V2,V0), member-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #19: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_union-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp3-{T}(V1,V2,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #20: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_union-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #21: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #22: input, references = 3, size of lhs = 2:
% 0.63/0.86 #-{F} V1, member-{F}(V2,V0) | pppp3-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #23: input, references = 3, size of lhs = 2:
% 0.63/0.86 #-{F} V0, member-{F}(V2,V1) | pppp3-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #24: input, references = 4, size of lhs = 2:
% 0.63/0.86 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #25: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), member-{F}(V1,V4) | pppp4-{T}(V2,V1,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #26: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), pppp4-{F}(V2,V1,V3) | member-{T}(V1,V4)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #27: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3) | member-{T}(V2,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #28: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), member-{F}(V2,V1) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #29: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), #-{F} V1, member-{F}(V2,V3) | pppp4-{T}(V1,V2,V3), member-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #30: input, references = 4, size of lhs = 4:
% 0.63/0.86 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), member-{F}(V1,V3), V1 == V2 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #31: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | member-{T}(V2,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #32: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp5-{T}(V2,V3,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #33: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp5-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #34: input, references = 3, size of lhs = 4:
% 0.63/0.86 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #35: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #36: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #37: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), member-{F}(V1,V3) | pppp6-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #38: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), pppp6-{F}(V2,V1) | member-{T}(V1,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #39: input, references = 3, size of lhs = 2:
% 0.63/0.86 P_empty_set-{F}(V0), pppp6-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V1,V2,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #40: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V2,V3) | pppp6-{T}(V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #41: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp9-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #42: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp9-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #43: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_product-{F}(V2,V3), member-{F}(V1,V3) | pppp7-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #44: input, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_product-{F}(V2,V3), pppp7-{F}(V2,V1) | member-{T}(V1,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #45: input, references = 4, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), pppp7-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V2,V3)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #46: input, references = 4, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp7-{T}(V1,V2), pppp13-{T}(V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #47: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp13-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #48: input, references = 3, size of lhs = 2:
% 0.63/0.86 pppp10-{F}(V0,V1,V2), member-{F}(V1,V2) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #49: input, references = 3, size of lhs = 1:
% 0.63/0.86 pppp10-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #50: input, references = 4, size of lhs = 1:
% 0.63/0.86 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #51: input, references = 4, size of lhs = 2:
% 0.63/0.86 pppp11-{F}(V0), subset-{F}(V0,V0) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #52: input, references = 3, size of lhs = 1:
% 0.63/0.86 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #53: input, references = 3, size of lhs = 2:
% 0.63/0.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #54: input, references = 3, size of lhs = 2:
% 0.63/0.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #55: input, references = 4, size of lhs = 0:
% 0.63/0.86 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #56: input, references = 3, size of lhs = 2:
% 0.63/0.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #57: input, references = 3, size of lhs = 1:
% 0.63/0.86 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #58: input, references = 3, size of lhs = 2:
% 0.63/0.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #59: input, references = 3, size of lhs = 1:
% 0.63/0.86 #-{F} V0 | EXISTS V1: P_sum-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #60: input, references = 3, size of lhs = 1:
% 0.63/0.86 #-{F} V0 | EXISTS V1: P_product-{T}(V0,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 number of initial rules = 61
% 0.63/0.86
% 0.63/0.86 Simplifiers:
% 0.63/0.86 #61: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #62: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #63: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #64: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #65: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #66: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #67: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #68: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_sum-{F}(V0,V1), P_sum-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #69: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 P_product-{F}(V0,V1), P_product-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #70: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #71: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #72: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #73: unsound, references = 3, size of lhs = 3:
% 0.63/0.86 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 number of simplifiers = 13
% 0.63/0.86
% 0.63/0.86 Learnt:
% 0.63/0.86 #92: disj( #3, #1+#51 ), references = 2, size of lhs = 1:
% 0.63/0.86 pppp11-{F}(V0) | pppp12-{T}(V0,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #136: mergings( V0 == V3, V3 == V4; #133 ), references = 1, size of lhs = 5:
% 0.63/0.86 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), #-{F} V4, V4 == V1 | pppp13-{T}(V3,V4)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #141: disj( #3, #1+#13+#24 ), references = 1, size of lhs = 3:
% 0.63/0.86 P_empty_set-{F}(V0), P_power_set-{F}(V1,V0), #-{F} V2 | pppp12-{T}(V2,V1)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #164: exists( #4, #162 ), references = 2, size of lhs = 1:
% 0.63/0.86 pppp12-{F}(V0,V0) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #169: disj( #3, exists( #4, #162 ) ), references = 1, size of lhs = 1:
% 0.63/0.86 #-{F} V0 | pppp0-{T}(V0,V0)
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #174: exists( #50, #172 ), references = 1, size of lhs = 1:
% 0.63/0.86 P_empty_set-{F}(V0) | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 #176: exists( #55, #173 ), references = 1, size of lhs = 0:
% 0.63/0.86 FALSE | FALSE
% 0.63/0.86 (used 0 times, uses = {})
% 0.63/0.86
% 0.63/0.86 number of learnt formulas = 7
% 0.63/0.86
% 0.63/0.86
% 0.63/0.86 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.86
% 0.63/0.86 randbase = 1
%------------------------------------------------------------------------------