TSTP Solution File: SET928+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET928+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 06:16:58 EDT 2022
% Result : Theorem 1.04s 1.21s
% Output : Refutation 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n028.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 02:30:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.04/1.21 GeoParameters:
% 1.04/1.21
% 1.04/1.21 tptp_input = 1
% 1.04/1.21 tptp_output = 0
% 1.04/1.21 nonempty = 1
% 1.04/1.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.04/1.21
% 1.04/1.21
% 1.04/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.21
% 1.04/1.21 RuleSystem INPUT:
% 1.04/1.21
% 1.04/1.21 Initial Rules:
% 1.04/1.21 #0: input, references = 3, size of lhs = 2:
% 1.04/1.21 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #1: input, references = 4, size of lhs = 3:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #2: input, references = 3, size of lhs = 0:
% 1.04/1.21 FALSE | EXISTS V0: pppp1-{T}(V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #3: input, references = 3, size of lhs = 1:
% 1.04/1.21 pppp1-{F}(V0) | empty-{T}(V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #4: input, references = 3, size of lhs = 0:
% 1.04/1.21 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #5: input, references = 3, size of lhs = 2:
% 1.04/1.21 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #6: input, references = 6, size of lhs = 1:
% 1.04/1.21 disjoint-{F}(V0,V1) | disjoint-{T}(V1,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #7: input, references = 6, size of lhs = 3:
% 1.04/1.21 in-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), disjoint-{F}(V3,V1) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #8: input, references = 6, size of lhs = 2:
% 1.04/1.21 #-{F} V0, P_unordered_pair-{F}(V2,V1,V3) | in-{T}(V1,V0), in-{T}(V2,V0), disjoint-{T}(V3,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #9: input, references = 4, size of lhs = 0:
% 1.04/1.21 FALSE | EXISTS V0: pppp5-{T}(V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #10: input, references = 4, size of lhs = 1:
% 1.04/1.21 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #11: input, references = 5, size of lhs = 1:
% 1.04/1.21 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #12: input, references = 7, size of lhs = 4:
% 1.04/1.21 pppp3-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V3), pppp0-{F}(V0,V1,V2) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #13: input, references = 6, size of lhs = 4:
% 1.04/1.21 pppp3-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V4), V4 == V3 | pppp0-{T}(V0,V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #14: input, references = 5, size of lhs = 2:
% 1.04/1.21 pppp0-{F}(V0,V1,V2), in-{F}(V0,V2) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #15: input, references = 4, size of lhs = 2:
% 1.04/1.21 pppp0-{F}(V0,V1,V2), in-{F}(V1,V2) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #16: input, references = 13, size of lhs = 3:
% 1.04/1.21 #-{F} V0, #-{F} V1, #-{F} V2 | pppp0-{T}(V0,V1,V2), in-{T}(V0,V2), in-{T}(V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #17: input, references = 5, size of lhs = 3:
% 1.04/1.21 P_set_difference-{F}(V0,V1,V2), disjoint-{F}(V0,V1), V2 == V0 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #18: input, references = 6, size of lhs = 1:
% 1.04/1.21 P_set_difference-{F}(V0,V1,V0) | disjoint-{T}(V0,V1)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #19: input, references = 11, size of lhs = 2:
% 1.04/1.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #20: input, references = 6, size of lhs = 2:
% 1.04/1.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 number of initial rules = 21
% 1.04/1.21
% 1.04/1.21 Simplifiers:
% 1.04/1.21 #21: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #22: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #23: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #24: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #25: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #26: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #27: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #28: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #29: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #30: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #31: unsound, references = 3, size of lhs = 3:
% 1.04/1.21 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 number of simplifiers = 11
% 1.04/1.21
% 1.04/1.21 Learnt:
% 1.04/1.21 #33: disj( #16, input, input ), references = 1, size of lhs = 1:
% 1.04/1.21 #-{F} V0 | pppp0-{T}(V0,V0,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #37: disj( #16, input, input ), references = 1, size of lhs = 1:
% 1.04/1.21 in-{F}(V0,V1) | pppp0-{T}(V0,V1,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #38: disj( #16, input, input ), references = 1, size of lhs = 2:
% 1.04/1.21 in-{F}(V0,V1), pppp0-{F}(V2,V3,V0) | pppp0-{T}(V2,V1,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #39: disj( #16, input, input ), references = 1, size of lhs = 2:
% 1.04/1.21 in-{F}(V0,V1), pppp0-{F}(V2,V3,V0) | pppp0-{T}(V3,V1,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #49: disj( #16, input, input ), references = 1, size of lhs = 1:
% 1.04/1.21 in-{F}(V0,V1) | pppp0-{T}(V1,V0,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #50: disj( #16, input, input ), references = 4, size of lhs = 1:
% 1.04/1.21 pppp0-{F}(V0,V1,V2) | pppp0-{T}(V0,V2,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #51: disj( #16, input, input ), references = 4, size of lhs = 1:
% 1.04/1.21 pppp0-{F}(V0,V1,V2) | pppp0-{T}(V1,V2,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #53: exists( #19, #1 ), references = 4, size of lhs = 1:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #60: disj( #16, input, input ), references = 2, size of lhs = 1:
% 1.04/1.21 pppp0-{F}(V0,V1,V2) | pppp0-{T}(V2,V0,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #61: disj( #16, input, input ), references = 1, size of lhs = 1:
% 1.04/1.21 pppp0-{F}(V0,V1,V2) | pppp0-{T}(V2,V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #62: disj( #16, input, input ), references = 4, size of lhs = 2:
% 1.04/1.21 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V2) | pppp0-{T}(V0,V3,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #64: exists( #20, #17 ), references = 5, size of lhs = 1:
% 1.04/1.21 disjoint-{F}(V0,V1) | P_set_difference-{T}(V0,V1,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #74: disj( #8, input, input ), references = 5, size of lhs = 5:
% 1.04/1.21 disjoint-{F}(V0,V1), disjoint-{F}(V2,V1), P_unordered_pair-{F}(V3,V4,V0), P_unordered_pair-{F}(V5,V3,V6), P_unordered_pair-{F}(V5,V7,V2) | disjoint-{T}(V6,V1)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #75: disj( #8, input, input ), references = 2, size of lhs = 3:
% 1.04/1.21 in-{F}(V0,V1), in-{F}(V0,V2), P_unordered_pair-{F}(V2,V1,V3) | disjoint-{T}(V3,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #76: disj( #8, input, input ), references = 1, size of lhs = 3:
% 1.04/1.21 in-{F}(V0,V1), P_unordered_pair-{F}(V2,V1,V3), pppp0-{F}(V2,V4,V0) | disjoint-{T}(V3,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #83: mergings( V3 == V5; #81 ), references = 1, size of lhs = 5:
% 1.04/1.21 P_unordered_pair-{F}(V0,V0,V1), P_set_difference-{F}(V1,V2,V3), V3 == V1, P_set_difference-{F}(V1,V4,V5), V5 == V1 | pppp0-{T}(V2,V4,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #96: disj( #8, input, input ), references = 2, size of lhs = 1:
% 1.04/1.21 P_unordered_pair-{F}(V0,V0,V1) | disjoint-{T}(V1,V0)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #97: disj( #8, input, input ), references = 5, size of lhs = 2:
% 1.04/1.21 pppp0-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V2,V3) | disjoint-{T}(V3,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #98: disj( #8, input, input ), references = 1, size of lhs = 2:
% 1.04/1.21 pppp0-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V2,V3) | disjoint-{T}(V3,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #100: disj( #16, input, input ), references = 5, size of lhs = 4:
% 1.04/1.21 disjoint-{F}(V0,V1), disjoint-{F}(V2,V1), P_unordered_pair-{F}(V3,V4,V0), P_unordered_pair-{F}(V5,V6,V2) | pppp0-{T}(V3,V5,V1)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #123: exists( #19, #121 ), references = 1, size of lhs = 10:
% 1.04/1.21 disjoint-{F}(V0,V1), P_unordered_pair-{F}(V2,V3,V1), P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V2,V6,V5), P_unordered_pair-{F}(V7,V5,V8), P_unordered_pair-{F}(V7,V9,V0), P_unordered_pair-{F}(V10,V11,V1), pppp3-{F}(V10,V12,V8), P_unordered_pair-{F}(V10,V12,V1), P_unordered_pair-{F}(V12,V13,V1) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #147: exists( #20, #143 ), references = 2, size of lhs = 3:
% 1.04/1.21 in-{F}(V0,V1), pppp3-{F}(V2,V0,V1), P_unordered_pair-{F}(V2,V0,V3) | P_set_difference-{T}(V3,V1,V3)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #148: exists( #20, #144 ), references = 2, size of lhs = 3:
% 1.04/1.21 in-{F}(V0,V1), pppp3-{F}(V0,V2,V1), P_unordered_pair-{F}(V0,V2,V3) | P_set_difference-{T}(V3,V1,V3)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #155: mergings( V6 == V12, V8 == V0, V3 == V13; #151 ), references = 1, size of lhs = 9:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V3,V4,V2), P_unordered_pair-{F}(V3,V5,V2), P_unordered_pair-{F}(V5,V6,V2), pppp3-{F}(V3,V5,V7), P_unordered_pair-{F}(V5,V7,V2), P_unordered_pair-{F}(V5,V8,V2), P_unordered_pair-{F}(V9,V10,V2), #-{F} V11 | in-{T}(V11,V7)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #165: mergings( V3 == V6, V0 == V1, V4 == V7; #161 ), references = 2, size of lhs = 4:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V3,V0,V2), pppp3-{F}(V3,V0,V4), P_unordered_pair-{F}(V0,V5,V2) | pppp0-{T}(V0,V0,V4)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #177: exists( #19, #175 ), references = 2, size of lhs = 6:
% 1.04/1.21 P_unordered_pair-{F}(V0,V0,V1), pppp0-{F}(V0,V2,V3), P_unordered_pair-{F}(V4,V5,V1), pppp3-{F}(V6,V4,V3), P_unordered_pair-{F}(V6,V4,V1), P_unordered_pair-{F}(V6,V7,V1) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #182: mergings( V3 == V4, V4 == V6; #179 ), references = 1, size of lhs = 7:
% 1.04/1.21 pppp4-{F}(V0,V1), P_unordered_pair-{F}(V1,V1,V2), P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V3,V2), P_unordered_pair-{F}(V1,V4,V2), P_unordered_pair-{F}(V1,V5,V2), P_unordered_pair-{F}(V0,V6,V2) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #186: exists( #19, #184 ), references = 3, size of lhs = 6:
% 1.04/1.21 disjoint-{F}(V0,V1), disjoint-{F}(V2,V1), P_unordered_pair-{F}(V3,V4,V0), pppp3-{F}(V5,V3,V1), pppp0-{F}(V5,V3,V1), P_unordered_pair-{F}(V5,V6,V2) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #199: exists( #19, #195 ), references = 1, size of lhs = 2:
% 1.04/1.21 in-{F}(V0,V1), pppp3-{F}(V2,V0,V1) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #206: disj( #16, input, exists( #19, #195 ) ), references = 2, size of lhs = 1:
% 1.04/1.21 pppp3-{F}(V0,V1,V2) | pppp0-{T}(V2,V1,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #207: disj( #16, input, exists( #19, #195 ) ), references = 2, size of lhs = 2:
% 1.04/1.21 pppp0-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V2) | pppp0-{T}(V0,V4,V2)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #212: exists( #19, #210 ), references = 2, size of lhs = 5:
% 1.04/1.21 disjoint-{F}(V0,V1), pppp0-{F}(V2,V3,V1), pppp3-{F}(V4,V2,V1), pppp0-{F}(V4,V2,V1), P_unordered_pair-{F}(V4,V5,V0) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #229: mergings( V3 == V8, V5 == V6, V0 == V4; #225 ), references = 1, size of lhs = 5:
% 1.04/1.21 P_unordered_pair-{F}(V0,V0,V1), P_unordered_pair-{F}(V0,V2,V1), P_unordered_pair-{F}(V2,V3,V1), pppp3-{F}(V0,V2,V4), P_unordered_pair-{F}(V0,V5,V1) | P_set_difference-{T}(V1,V4,V1)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #237: disj( #8, input, input ), references = 2, size of lhs = 3:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V4), pppp0-{F}(V0,V5,V4) | disjoint-{T}(V2,V4)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #238: disj( #8, input, input ), references = 1, size of lhs = 3:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V4), pppp0-{F}(V5,V0,V4) | disjoint-{T}(V2,V4)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #239: disj( #8, input, input ), references = 1, size of lhs = 3:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V4), pppp0-{F}(V0,V5,V4) | disjoint-{T}(V2,V4)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #248: mergings( V0 == V1, V3 == V6, V4 == V7; #244 ), references = 2, size of lhs = 4:
% 1.04/1.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V3,V2), pppp3-{F}(V0,V3,V4), P_unordered_pair-{F}(V0,V5,V2) | pppp0-{T}(V0,V0,V4)
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #259: exists( #19, #254 ), references = 1, size of lhs = 1:
% 1.04/1.21 pppp3-{F}(V0,V1,V1) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #282: mergings( V0 == V4; #280 ), references = 1, size of lhs = 2:
% 1.04/1.21 pppp3-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V2) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #291: exists( #11, #287 ), references = 1, size of lhs = 1:
% 1.04/1.21 pppp4-{F}(V0,V1) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #294: exists( #10, #289 ), references = 1, size of lhs = 1:
% 1.04/1.21 pppp5-{F}(V0) | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 #297: exists( #9, #292 ), references = 1, size of lhs = 0:
% 1.04/1.21 FALSE | FALSE
% 1.04/1.21 (used 0 times, uses = {})
% 1.04/1.21
% 1.04/1.21 number of learnt formulas = 42
% 1.04/1.21
% 1.04/1.21
% 1.04/1.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.21
% 1.04/1.21 randbase = 1
%------------------------------------------------------------------------------