%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL139-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:05:45 PM UTC 2026
% Result : Unsatisfiable 6.06s 6.30s
% Output : Refutation 6.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL139-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 6 00:47:24 UTC 2026
% 0.11/0.36 % CPUTime :
% 6.06/6.30 GeoParameters:
% 6.06/6.30
% 6.06/6.30 tptp_input = 1
% 6.06/6.30 tptp_output = 0
% 6.06/6.30 nonempty = 1
% 6.06/6.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.06/6.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.06/6.30
% 6.06/6.30
% 6.06/6.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.06/6.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.06/6.30
% 6.06/6.30 RuleSystem INPUT:
% 6.06/6.30
% 6.06/6.30 Initial Rules:
% 6.06/6.30 #0: input, references = 4, size of lhs = 3:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #1: input, references = 12, size of lhs = 7:
% 6.06/6.30 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
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #2: input, references = 12, size of lhs = 6:
% 6.06/6.30 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
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #3: input, references = 10, size of lhs = 7:
% 6.06/6.30 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
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #4: input, references = 6, size of lhs = 5:
% 6.06/6.30 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V0,V2), P_implies-{F}(V1,V2,V4), P_not-{F}(V1,V4) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #5: input, references = 27, size of lhs = 2:
% 6.06/6.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #6: input, references = 4, size of lhs = 0:
% 6.06/6.30 FALSE | EXISTS V0: P_truth-{T}(V0)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #7: input, references = 19, size of lhs = 1:
% 6.06/6.30 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #8: input, references = 4, size of lhs = 0:
% 6.06/6.30 FALSE | EXISTS V0: P_x-{T}(V0)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 number of initial rules = 9
% 6.06/6.30
% 6.06/6.30 Simplifiers:
% 6.06/6.30 #9: unsound, references = 3, size of lhs = 3:
% 6.06/6.30 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #10: unsound, references = 3, size of lhs = 3:
% 6.06/6.30 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #11: unsound, references = 3, size of lhs = 3:
% 6.06/6.30 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #12: unsound, references = 3, size of lhs = 3:
% 6.06/6.30 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 number of simplifiers = 4
% 6.06/6.30
% 6.06/6.30 Learnt:
% 6.06/6.30 #15: exists( #5, #0 ), references = 27, size of lhs = 2:
% 6.06/6.30 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #16: exists( #5, #1 ), references = 13, size of lhs = 5:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #18: exists( #5, #3 ), references = 16, size of lhs = 5:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #25: mergings( V3 == V4, V4 == V5; #22 ), references = 2, size of lhs = 8:
% 6.06/6.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V1,V5), P_implies-{F}(V0,V5,V6), P_not-{F}(V4,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V3,V5) | P_implies-{T}(V2,V7,V6)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #31: exists( #5, #2 ), references = 16, size of lhs = 4:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #35: mergings( V3 == V4; #33 ), references = 2, size of lhs = 5:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #39: mergings( V3 == V4; #37 ), references = 6, size of lhs = 4:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #56: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #51 ), references = 1, size of lhs = 17:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V2,V7), P_not-{F}(V6,V8), P_not-{F}(V8,V6), P_implies-{F}(V9,V4,V7), P_implies-{F}(V9,V8,V10), P_not-{F}(V11,V10), P_implies-{F}(V0,V10,V12), P_not-{F}(V13,V12), P_implies-{F}(V11,V13,V14), P_implies-{F}(V1,V14,V15), V15 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #92: mergings( V3 == V1, V1 == V4; #89 ), references = 16, size of lhs = 4:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V1,V2,V2) | P_implies-{T}(V2,V0,V0)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #114: mergings( V3 == V4, V4 == V5; #111 ), references = 1, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V5), P_implies-{F}(V5,V2,V6), P_not-{F}(V7,V6), P_implies-{F}(V3,V7,V8), P_implies-{F}(V0,V8,V9), V9 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #124: mergings( V3 == V4; #122 ), references = 4, size of lhs = 7:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V3,V4), P_implies-{F}(V4,V1,V6), P_implies-{F}(V6,V1,V7), V7 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #136: mergings( V3 == V4; #132 ), references = 1, size of lhs = 7:
% 6.06/6.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V2,V6), V0 == V6 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #139: mergings( V3 == V4, V4 == V5; #134 ), references = 1, size of lhs = 10:
% 6.06/6.30 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
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #143: mergings( V3 == V4, V4 == V5; #140 ), references = 1, size of lhs = 10:
% 6.06/6.30 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
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #163: mergings( V3 == V4, V4 == V5; #159 ), references = 1, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V6,V5,V7), P_implies-{F}(V6,V2,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V7,V9,V10), V10 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #166: mergings( V3 == V4, V4 == V5; #160 ), references = 1, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V0,V6,V5), P_implies-{F}(V7,V2,V6), P_implies-{F}(V5,V7,V8), P_implies-{F}(V8,V7,V9), V9 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #176: mergings( V3 == V4, V4 == V5; #173 ), references = 1, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V0,V5,V6), V6 == V0, P_implies-{F}(V7,V4,V2), P_implies-{F}(V7,V8,V9), P_implies-{F}(V4,V8,V10), P_implies-{F}(V9,V10,V7) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #192: mergings( V3 == V4, V4 == V5; #189 ), references = 7, size of lhs = 7:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V2,V6,V7), P_implies-{F}(V3,V6,V8), P_implies-{F}(V7,V8,V4) | P_implies-{T}(V3,V2,V5)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #209: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #204 ), references = 2, size of lhs = 17:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V3,V8), P_implies-{F}(V8,V7,V0), P_implies-{F}(V7,V4,V9), P_not-{F}(V10,V9), P_implies-{F}(V5,V10,V11), P_implies-{F}(V1,V11,V12), V12 == V0, P_implies-{F}(V7,V13,V2), P_implies-{F}(V7,V14,V15), P_implies-{F}(V4,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #213: mergings( V3 == V4; #211 ), references = 1, size of lhs = 14:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V2,V7), P_implies-{F}(V7,V6,V0), P_implies-{F}(V6,V3,V8), P_not-{F}(V9,V8), P_implies-{F}(V6,V10,V1), P_implies-{F}(V6,V11,V12), P_implies-{F}(V3,V11,V13), P_implies-{F}(V12,V13,V10) | P_implies-{T}(V4,V9,V0)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #235: mergings( V3 == V4, V4 == V5; #231 ), references = 2, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V0, P_implies-{F}(V1,V3,V4), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V1,V8), P_implies-{F}(V8,V3,V9), P_implies-{F}(V9,V4,V8), P_implies-{F}(V7,V5,V10), P_implies-{F}(V10,V6,V7) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #238: mergings( V3 == V4, V4 == V5; #232 ), references = 2, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V3,V4,V1), P_implies-{F}(V4,V5,V6), P_implies-{F}(V7,V4,V8), P_implies-{F}(V3,V8,V9), P_implies-{F}(V9,V2,V10), V10 == V0, P_implies-{F}(V7,V5,V11), P_implies-{F}(V11,V6,V7) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #272: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #265 ), references = 1, size of lhs = 17:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V3,V7), P_implies-{F}(V7,V6,V0), P_implies-{F}(V6,V4,V8), P_implies-{F}(V1,V9,V8), P_implies-{F}(V10,V4,V9), P_implies-{F}(V8,V10,V11), P_implies-{F}(V11,V10,V12), V12 == V0, P_implies-{F}(V6,V13,V2), P_implies-{F}(V6,V14,V15), P_implies-{F}(V4,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #277: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #266 ), references = 1, size of lhs = 20:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V3,V7), P_implies-{F}(V7,V6,V0), P_implies-{F}(V6,V4,V8), P_implies-{F}(V1,V9,V8), P_implies-{F}(V10,V4,V9), P_implies-{F}(V0,V10,V11), V11 == V0, P_implies-{F}(V8,V10,V12), P_implies-{F}(V6,V13,V2), P_implies-{F}(V6,V14,V15), P_implies-{F}(V4,V14,V16), P_implies-{F}(V15,V16,V13), P_implies-{F}(V10,V17,V18), P_implies-{F}(V12,V17,V19), P_implies-{F}(V19,V18,V12) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #282: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #267 ), references = 1, size of lhs = 20:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V3,V7), P_implies-{F}(V7,V6,V0), P_implies-{F}(V6,V4,V8), P_implies-{F}(V1,V9,V8), P_implies-{F}(V10,V4,V9), P_implies-{F}(V8,V10,V11), P_implies-{F}(V6,V12,V2), P_implies-{F}(V6,V13,V14), P_implies-{F}(V4,V13,V15), P_implies-{F}(V14,V15,V12), P_implies-{F}(V16,V10,V17), P_implies-{F}(V0,V17,V18), P_implies-{F}(V16,V11,V19), P_implies-{F}(V19,V18,V20), V20 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #294: mergings( V3 == V4; #292 ), references = 11, size of lhs = 4:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #306: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #301 ), references = 7, size of lhs = 14:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V0,V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V6,V3,V7), P_implies-{F}(V0,V7,V8), P_not-{F}(V6,V9), P_implies-{F}(V5,V9,V10), P_implies-{F}(V7,V10,V1), P_implies-{F}(V7,V11,V2), P_implies-{F}(V9,V12,V13), P_implies-{F}(V4,V12,V14), P_implies-{F}(V13,V14,V11) | P_implies-{T}(V4,V9,V8)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #316: mergings( V4 == V3, V3 == V5, V5 == V6; #312 ), references = 4, size of lhs = 15:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V0,V6,V7), P_not-{F}(V5,V8), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V3,V6), P_implies-{F}(V8,V10,V0), P_implies-{F}(V10,V3,V6), P_implies-{F}(V3,V11,V12), P_implies-{F}(V8,V11,V13), P_implies-{F}(V12,V13,V0) | P_implies-{T}(V2,V5,V7)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #327: mergings( V4 == V3, V3 == V5, V2 == V5, V5 == V6, V6 == V7, V10 == V13; #320 ), references = 1, size of lhs = 12:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V0,V3), P_not-{F}(V4,V3), P_implies-{F}(V4,V2,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V0,V6,V5), P_not-{F}(V1,V6), P_implies-{F}(V6,V0,V7), P_implies-{F}(V7,V0,V0) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #335: mergings( V4 == V3, V3 == V5, V2 == V5, V5 == V6, V6 == V0, V9 == V11; #328 ), references = 1, size of lhs = 10:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V3), P_not-{F}(V1,V4), P_implies-{F}(V4,V0,V5), P_implies-{F}(V5,V0,V0) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #339: exists( #7, #337 ), references = 1, size of lhs = 2:
% 6.06/6.30 P_x-{F}(V0), P_truth-{F}(V0) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #367: mergings( V2 == V3, V3 == V4; #364 ), references = 1, size of lhs = 15:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V2,V0,V1), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V2), P_not-{F}(V6,V5), P_implies-{F}(V7,V6,V3), P_not-{F}(V7,V8), P_implies-{F}(V5,V9,V10), P_implies-{F}(V9,V8,V11), P_implies-{F}(V11,V4,V12), P_implies-{F}(V10,V12,V13), V13 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #385: mergings( V2 == V3, V3 == V4, V4 == V5; #381 ), references = 2, size of lhs = 17:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V2,V0,V1), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V3), P_not-{F}(V8,V9), P_implies-{F}(V6,V10,V0), P_implies-{F}(V10,V9,V11), P_not-{F}(V12,V11), P_implies-{F}(V5,V12,V13), P_implies-{F}(V0,V13,V14), V14 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #392: mergings( V3 == V4, V4 == V5; #389 ), references = 4, size of lhs = 6:
% 6.06/6.30 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)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #396: mergings( V2 == V3; #394 ), references = 2, size of lhs = 14:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V2,V0,V1), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V2), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V3), P_implies-{F}(V5,V8,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #406: mergings( V2 == V3, V3 == V4; #403 ), references = 1, size of lhs = 7:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V2,V1,V4), P_implies-{F}(V4,V1,V5), V3 == V5 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #416: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V18; #410 ), references = 3, size of lhs = 19:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V0,V3,V0), P_implies-{F}(V0,V4,V3), P_implies-{F}(V2,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V0,V6,V8), P_implies-{F}(V1,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V6,V10,V3), P_implies-{F}(V0,V7,V11), P_not-{F}(V8,V12), P_implies-{F}(V0,V12,V7), P_implies-{F}(V6,V13,V4), P_implies-{F}(V1,V14,V15), P_implies-{F}(V7,V14,V16), P_implies-{F}(V15,V16,V13) | P_implies-{T}(V8,V1,V11)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #446: mergings( V7 == V17, V2 == V3, V3 == V4, V13 == V8, V8 == V9, V6 == V9, V5 == V4, V9 == V11, V10 == V4, V12 == V17; #435 ), references = 1, size of lhs = 24:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V1,V1,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V0), P_implies-{F}(V0,V1,V5), P_implies-{F}(V0,V5,V1), P_implies-{F}(V5,V1,V0), P_implies-{F}(V1,V5,V4), P_implies-{F}(V6,V2,V5), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V0,V7,V9), P_implies-{F}(V8,V7,V10), P_implies-{F}(V0,V10,V7), P_implies-{F}(V10,V9,V11), P_implies-{F}(V0,V11,V0), P_implies-{F}(V7,V0,V12), P_implies-{F}(V12,V0,V13), P_implies-{F}(V10,V13,V14), P_implies-{F}(V0,V14,V11) | P_not-{T}(V7,V0)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #456: mergings( V2 == V3, V3 == V4; #453 ), references = 3, size of lhs = 16:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V0,V2), P_not-{F}(V2,V0), P_not-{F}(V3,V2), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V1), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V0,V7,V0), P_implies-{F}(V2,V0,V8), P_implies-{F}(V8,V0,V9), P_implies-{F}(V4,V9,V10), P_implies-{F}(V0,V10,V7) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #480: mergings( V0 == V2, V2 == V14, V19 == V29, V3 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V14, V11 == V12, V25 == V20, V20 == V21, V18 == V21, V17 == V14, V21 == V23, V22 == V14, V24 == V29; #463 ), references = 2, size of lhs = 25:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V2,V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V0,V1,V4), P_implies-{F}(V0,V4,V1), P_implies-{F}(V4,V4,V5), P_implies-{F}(V0,V5,V0), P_implies-{F}(V4,V0,V6), P_implies-{F}(V0,V6,V5), P_implies-{F}(V1,V0,V7), P_implies-{F}(V7,V0,V0), P_not-{F}(V8,V8), P_implies-{F}(V8,V0,V0), P_not-{F}(V9,V8), P_implies-{F}(V0,V9,V10), P_implies-{F}(V0,V10,V8), P_implies-{F}(V10,V8,V0), P_implies-{F}(V0,V8,V10), P_implies-{F}(V8,V8,V11), P_implies-{F}(V0,V11,V12), P_implies-{F}(V0,V12,V0), P_implies-{F}(V8,V10,V12) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #488: mergings( V2 == V3; #486 ), references = 1, size of lhs = 23:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V2,V1,V0), P_implies-{F}(V0,V1,V3), P_implies-{F}(V0,V3,V1), P_implies-{F}(V3,V3,V4), P_implies-{F}(V0,V4,V0), P_implies-{F}(V3,V0,V5), P_implies-{F}(V0,V5,V4), P_implies-{F}(V1,V0,V6), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V7), P_implies-{F}(V7,V0,V0), P_not-{F}(V8,V7), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V7), P_implies-{F}(V9,V7,V0), P_implies-{F}(V0,V7,V9), P_implies-{F}(V7,V7,V10), P_implies-{F}(V0,V10,V11), P_implies-{F}(V0,V11,V0), P_implies-{F}(V7,V9,V11) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #517: mergings( V2 == V3, V4 == V13, V3 == V13, V13 == V14, V14 == V5, V5 == V6; #510 ), references = 2, size of lhs = 19:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V0,V2,V1), P_implies-{F}(V3,V0,V2), P_implies-{F}(V0,V3,V4), P_implies-{F}(V3,V5,V1), P_implies-{F}(V0,V6,V5), P_implies-{F}(V6,V0,V0), P_implies-{F}(V4,V6,V0), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_implies-{F}(V7,V9,V3), P_implies-{F}(V9,V8,V10), P_implies-{F}(V0,V9,V11), P_not-{F}(V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V13,V12,V14), V14 == V11 | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #541: mergings( V3 == V5, V2 == V10, V10 == V5, V5 == V11; #536 ), references = 2, size of lhs = 13:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V1), P_implies-{F}(V2,V0,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V0), P_implies-{F}(V1,V5,V0), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V5,V6), P_implies-{F}(V2,V6,V4), P_not-{F}(V7,V5), P_implies-{F}(V7,V5,V2) | P_not-{T}(V5,V0)
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #555: mergings( V0 == V8, V8 == V2, V2 == V3, V5 == V6, V10 == V13; #549 ), references = 1, size of lhs = 24:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V1), P_implies-{F}(V2,V2,V3), P_implies-{F}(V0,V3,V0), P_implies-{F}(V2,V0,V4), P_implies-{F}(V0,V4,V3), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V5,V6), P_implies-{F}(V0,V6,V1), P_not-{F}(V7,V6), P_implies-{F}(V0,V7,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V9,V0,V0), P_not-{F}(V9,V5), P_implies-{F}(V0,V9,V10), P_implies-{F}(V8,V10,V11), P_implies-{F}(V0,V11,V0), P_implies-{F}(V6,V0,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V8,V13,V14), P_implies-{F}(V0,V14,V11) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #568: mergings( V2 == V3, V3 == V4; #565 ), references = 1, size of lhs = 15:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V0,V2), P_not-{F}(V2,V0), P_not-{F}(V3,V2), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V1), P_implies-{F}(V0,V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V0,V6,V0), P_implies-{F}(V2,V0,V7), P_implies-{F}(V7,V0,V8), P_implies-{F}(V4,V8,V9), P_implies-{F}(V0,V9,V6) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #577: mergings( V0 == V7, V4 == V5, V2 == V7; #573 ), references = 1, size of lhs = 9:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V1), P_implies-{F}(V2,V2,V3), P_implies-{F}(V0,V3,V0), P_implies-{F}(V2,V0,V4), P_implies-{F}(V0,V4,V3) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #585: mergings( V1 == V2, V4 == V2, V3 == V2; #581 ), references = 1, size of lhs = 2:
% 6.06/6.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 #588: exists( #6, #586 ), references = 1, size of lhs = 0:
% 6.06/6.30 FALSE | FALSE
% 6.06/6.30 (used 0 times, uses = {})
% 6.06/6.30
% 6.06/6.30 number of learnt formulas = 48
% 6.06/6.30
% 6.06/6.30
% 6.06/6.30 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.06/6.30
% 6.06/6.30 randbase = 1
%------------------------------------------------------------------------------