TSTP Solution File: LCL114-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL114-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:08:47 EDT 2022
% Result : Unsatisfiable 2.49s 2.69s
% Output : Refutation 2.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL114-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n017.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 : Fri Jul 22 20:59:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.49/2.69 GeoParameters:
% 2.49/2.69
% 2.49/2.69 tptp_input = 1
% 2.49/2.69 tptp_output = 0
% 2.49/2.69 nonempty = 1
% 2.49/2.69 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/2.69 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.49/2.69
% 2.49/2.69
% 2.49/2.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/2.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/2.69
% 2.49/2.69 RuleSystem INPUT:
% 2.49/2.69
% 2.49/2.69 Initial Rules:
% 2.49/2.69 #0: input, references = 5, size of lhs = 3:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #1: input, references = 8, size of lhs = 7:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #2: input, references = 9, size of lhs = 6:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), V4 == V6 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #3: input, references = 7, size of lhs = 7:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V1,V6), P_implies-{F}(V5,V6,V7), V7 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #4: input, references = 6, size of lhs = 8:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #5: input, references = 23, size of lhs = 2:
% 2.49/2.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #6: input, references = 4, size of lhs = 0:
% 2.49/2.69 FALSE | EXISTS V0: P_truth-{T}(V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #7: input, references = 16, size of lhs = 1:
% 2.49/2.69 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #8: input, references = 4, size of lhs = 0:
% 2.49/2.69 FALSE | EXISTS V0: P_x-{T}(V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #9: input, references = 4, size of lhs = 0:
% 2.49/2.69 FALSE | EXISTS V0: P_y-{T}(V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 number of initial rules = 10
% 2.49/2.69
% 2.49/2.69 Simplifiers:
% 2.49/2.69 #10: unsound, references = 3, size of lhs = 3:
% 2.49/2.69 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #11: unsound, references = 3, size of lhs = 3:
% 2.49/2.69 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #12: unsound, references = 3, size of lhs = 3:
% 2.49/2.69 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #13: unsound, references = 3, size of lhs = 3:
% 2.49/2.69 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #14: unsound, references = 3, size of lhs = 3:
% 2.49/2.69 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 number of simplifiers = 5
% 2.49/2.69
% 2.49/2.69 Learnt:
% 2.49/2.69 #16: exists( #5, #0 ), references = 31, size of lhs = 2:
% 2.49/2.69 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #20: mergings( V3 == V4; #18 ), references = 3, size of lhs = 4:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3) | P_implies-{T}(V4,V1,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #23: exists( #5, #1 ), references = 4, size of lhs = 5:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #29: exists( #5, #2 ), references = 5, size of lhs = 4:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5) | P_implies-{T}(V5,V1,V4)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #39: exists( #5, #34 ), references = 2, size of lhs = 9:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V1,V5), P_implies-{F}(V6,V7,V3), P_implies-{F}(V7,V8,V4), P_implies-{F}(V6,V8,V5) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #41: mergings( V3 == V4; #36 ), references = 11, size of lhs = 4:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5) | P_implies-{T}(V4,V5,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #46: mergings( V2 == V3; #44 ), references = 1, size of lhs = 5:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V1,V1,V2), P_implies-{F}(V0,V0,V2) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #50: mergings( V3 == V4; #48 ), references = 7, size of lhs = 5:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V1,V3,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V3) | P_implies-{T}(V2,V3,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #64: mergings( V2 == V3, V3 == V4; #60 ), references = 1, size of lhs = 8:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V0,V5,V6), V6 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #73: exists( #5, #3 ), references = 4, size of lhs = 5:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #81: mergings( V3 == V4, V4 == V5; #78 ), references = 3, size of lhs = 10:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V5,V4,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #88: exists( #5, #86 ), references = 2, size of lhs = 7:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V5,V4,V8) | P_implies-{T}(V8,V7,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #98: mergings( V2 == V3, V3 == V4, V4 == V5; #94 ), references = 2, size of lhs = 12:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V2,V3,V7), P_implies-{F}(V7,V1,V8), P_implies-{F}(V5,V8,V9), P_implies-{F}(V9,V8,V10), V10 == V6 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #106: mergings( V3 == V4, V4 == V6; #103 ), references = 3, size of lhs = 10:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V2,V3,V7), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V5) | P_implies-{T}(V7,V1,V6)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #121: mergings( V3 == V4; #119 ), references = 1, size of lhs = 3:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #144: mergings( V3 == V4, V4 == V5; #141 ), references = 1, size of lhs = 6:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V1,V5), P_implies-{F}(V5,V3,V6) | P_implies-{T}(V1,V3,V6)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #151: exists( #5, #147 ), references = 2, size of lhs = 8:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V1,V5), P_implies-{F}(V4,V6,V0), P_implies-{F}(V6,V5,V3) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #168: mergings( V3 == V4, V4 == V5; #165 ), references = 3, size of lhs = 10:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7), P_implies-{F}(V6,V7,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #178: mergings( V3 == V4, V4 == V5; #175 ), references = 3, size of lhs = 7:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V3,V5,V6), P_implies-{F}(V0,V6,V7) | P_implies-{T}(V2,V5,V7)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #185: exists( #5, #183 ), references = 13, size of lhs = 6:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7) | P_implies-{T}(V6,V7,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #200: mergings( V3 == V4, V4 == V5; #197 ), references = 1, size of lhs = 11:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V0,V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V10,V0), P_not-{F}(V5,V11), P_implies-{F}(V10,V11,V7) | P_implies-{T}(V5,V4,V8)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #211: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #206 ), references = 1, size of lhs = 22:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V1,V5), P_implies-{F}(V6,V5,V3), P_implies-{F}(V7,V0,V0), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_implies-{F}(V10,V8,V11), P_implies-{F}(V11,V12,V4), P_not-{F}(V13,V12), P_implies-{F}(V0,V14,V13), P_implies-{F}(V11,V15,V14), P_not-{F}(V16,V15), P_implies-{F}(V9,V17,V16), P_not-{F}(V17,V18), P_implies-{F}(V10,V18,V19), P_implies-{F}(V19,V18,V14), P_implies-{F}(V10,V16,V20), P_implies-{F}(V20,V16,V6) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #222: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #215 ), references = 2, size of lhs = 24:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V5,V4,V3), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V6), P_implies-{F}(V8,V0,V0), P_not-{F}(V9,V8), P_implies-{F}(V2,V9,V10), P_implies-{F}(V11,V7,V0), P_not-{F}(V12,V11), P_implies-{F}(V10,V13,V11), P_not-{F}(V14,V13), P_implies-{F}(V14,V2,V15), P_not-{F}(V16,V15), P_implies-{F}(V12,V16,V17), P_not-{F}(V17,V18), P_implies-{F}(V0,V18,V19), P_implies-{F}(V0,V15,V19), P_implies-{F}(V0,V19,V2), P_implies-{F}(V11,V17,V20), P_implies-{F}(V20,V17,V5) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #234: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V17 == V21; #225 ), references = 2, size of lhs = 21:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V2,V5,V0), P_not-{F}(V5,V6), P_implies-{F}(V6,V0,V0), P_implies-{F}(V7,V4,V3), P_implies-{F}(V8,V0,V0), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V2), P_implies-{F}(V10,V0,V0), P_not-{F}(V11,V10), P_implies-{F}(V0,V12,V7), P_not-{F}(V12,V8), P_implies-{F}(V13,V11,V12), P_implies-{F}(V13,V2,V14), P_implies-{F}(V0,V14,V9), P_not-{F}(V15,V14), P_implies-{F}(V13,V15,V12) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #245: exists( #7, #241 ), references = 1, size of lhs = 20:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V2,V5,V0), P_implies-{F}(V6,V4,V3), P_implies-{F}(V7,V0,V0), P_implies-{F}(V0,V7,V8), P_implies-{F}(V0,V8,V2), P_implies-{F}(V9,V0,V0), P_not-{F}(V10,V9), P_implies-{F}(V0,V11,V6), P_not-{F}(V11,V7), P_implies-{F}(V12,V10,V11), P_implies-{F}(V12,V2,V13), P_implies-{F}(V0,V13,V8), P_not-{F}(V14,V13), P_implies-{F}(V12,V14,V11) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #247: mergings( V11 == V13; #244 ), references = 1, size of lhs = 20:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V2,V5,V0), P_implies-{F}(V5,V2,V6), P_implies-{F}(V0,V6,V7), P_implies-{F}(V0,V7,V2), P_not-{F}(V8,V6), P_implies-{F}(V5,V8,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V10,V4,V3), P_not-{F}(V9,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V7), P_implies-{F}(V5,V12,V9), P_not-{F}(V12,V13), P_implies-{F}(V13,V0,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #250: exists( #5, #243 ), references = 1, size of lhs = 18:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V4,V0,V0), P_implies-{F}(V0,V4,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V6), P_implies-{F}(V0,V8,V1), P_not-{F}(V8,V4), P_implies-{F}(V9,V7,V8), P_implies-{F}(V9,V2,V10), P_implies-{F}(V0,V10,V5), P_not-{F}(V11,V10), P_implies-{F}(V9,V11,V8) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #252: mergings( V9 == V10; #249 ), references = 1, size of lhs = 18:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V0,V5,V2), P_not-{F}(V6,V4), P_implies-{F}(V3,V6,V7), P_implies-{F}(V0,V7,V1), P_not-{F}(V7,V8), P_implies-{F}(V8,V0,V0), P_implies-{F}(V0,V8,V5), P_implies-{F}(V3,V9,V7), P_not-{F}(V9,V10), P_implies-{F}(V10,V0,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #263: mergings( V2 == V3; #259 ), references = 2, size of lhs = 11:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V5,V3,V8), P_implies-{F}(V7,V8,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V0,V10,V11), V11 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #266: mergings( V2 == V3, V3 == V4; #260 ), references = 3, size of lhs = 8:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_implies-{F}(V5,V3,V6), P_implies-{F}(V0,V6,V7), V7 == V0 | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #269: mergings( V2 == V3, V3 == V4; #261 ), references = 2, size of lhs = 9:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_not-{F}(V1,V4), P_implies-{F}(V2,V5,V4), P_not-{F}(V5,V6), P_implies-{F}(V6,V0,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #278: exists( #5, #272 ), references = 2, size of lhs = 10:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_implies-{F}(V2,V4,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V0,V0), P_implies-{F}(V2,V6,V7), P_implies-{F}(V1,V6,V8), P_implies-{F}(V7,V8,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #279: exists( #5, #273 ), references = 3, size of lhs = 7:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V5,V3,V8) | P_implies-{T}(V7,V8,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #280: exists( #5, #274 ), references = 1, size of lhs = 5:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4) | P_implies-{T}(V5,V3,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #289: exists( #7, #286 ), references = 1, size of lhs = 9:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_implies-{F}(V2,V4,V3), P_implies-{F}(V2,V5,V6), P_implies-{F}(V1,V5,V7), P_implies-{F}(V6,V7,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #327: exists( #7, #322 ), references = 1, size of lhs = 9:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_implies-{F}(V4,V3,V0), P_not-{F}(V5,V4), P_implies-{F}(V5,V4,V6), P_implies-{F}(V0,V4,V6), P_implies-{F}(V0,V6,V1) | P_not-{T}(V4,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #329: mergings( V2 == V3; #325 ), references = 1, size of lhs = 11:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V5), P_implies-{F}(V3,V8,V9), P_implies-{F}(V9,V2,V0) | P_not-{T}(V8,V0)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #332: mergings( V2 == V3, V3 == V4; #326 ), references = 1, size of lhs = 13:
% 2.49/2.69 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_implies-{F}(V5,V2,V6), P_implies-{F}(V3,V7,V6), P_implies-{F}(V7,V8,V5), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0), P_implies-{F}(V0,V6,V10), P_implies-{F}(V10,V2,V11) | P_not-{T}(V7,V11)
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #335: exists( #5, #39 ), references = 2, size of lhs = 7:
% 2.49/2.69 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V2,V5,V3), P_implies-{F}(V1,V5,V4) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #341: mergings( V2 == V3; #339 ), references = 1, size of lhs = 9:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_implies-{F}(V4,V2,V2), P_not-{F}(V4,V5), P_not-{F}(V5,V0), P_implies-{F}(V1,V5,V3) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #350: mergings( V0 == V2, V4 == V6; #347 ), references = 1, size of lhs = 11:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V2), P_y-{F}(V4), P_implies-{F}(V0,V4,V4), P_implies-{F}(V0,V5,V1), P_not-{F}(V5,V6), P_implies-{F}(V0,V6,V3) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #354: mergings( V2 == V3; #352 ), references = 1, size of lhs = 6:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_implies-{F}(V0,V2,V2) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #358: mergings( V1 == V2; #356 ), references = 2, size of lhs = 4:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #361: exists( #8, #359 ), references = 1, size of lhs = 2:
% 2.49/2.69 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 #364: exists( #6, #362 ), references = 1, size of lhs = 0:
% 2.49/2.69 FALSE | FALSE
% 2.49/2.69 (used 0 times, uses = {})
% 2.49/2.69
% 2.49/2.69 number of learnt formulas = 45
% 2.49/2.69
% 2.49/2.69
% 2.49/2.69 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/2.69
% 2.49/2.69 randbase = 1
%------------------------------------------------------------------------------