%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL113-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 12:05:43 PM UTC 2026
% Result : Unsatisfiable 5.07s 5.38s
% Output : Refutation 5.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL113-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.36 % Computer : n027.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 4 20:18:42 UTC 2026
% 0.12/0.37 % CPUTime :
% 5.07/5.38 GeoParameters:
% 5.07/5.38
% 5.07/5.38 tptp_input = 1
% 5.07/5.38 tptp_output = 0
% 5.07/5.38 nonempty = 1
% 5.07/5.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.07/5.38
% 5.07/5.38
% 5.07/5.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.38
% 5.07/5.38 RuleSystem INPUT:
% 5.07/5.38
% 5.07/5.38 Initial Rules:
% 5.07/5.38 #0: input, references = 4, size of lhs = 3:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #1: input, references = 8, size of lhs = 7:
% 5.07/5.38 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
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #2: input, references = 6, size of lhs = 6:
% 5.07/5.38 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
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #3: input, references = 8, size of lhs = 7:
% 5.07/5.38 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
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #4: input, references = 8, size of lhs = 8:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V5,V1,V6), P_implies-{F}(V4,V6,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #5: input, references = 28, size of lhs = 2:
% 5.07/5.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #6: input, references = 4, size of lhs = 0:
% 5.07/5.38 FALSE | EXISTS V0: P_truth-{T}(V0)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #7: input, references = 16, size of lhs = 1:
% 5.07/5.38 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #8: input, references = 4, size of lhs = 0:
% 5.07/5.38 FALSE | EXISTS V0: P_x-{T}(V0)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #9: input, references = 4, size of lhs = 0:
% 5.07/5.38 FALSE | EXISTS V0: P_y-{T}(V0)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 number of initial rules = 10
% 5.07/5.38
% 5.07/5.38 Simplifiers:
% 5.07/5.38 #10: unsound, references = 3, size of lhs = 3:
% 5.07/5.38 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #11: unsound, references = 3, size of lhs = 3:
% 5.07/5.38 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #12: unsound, references = 3, size of lhs = 3:
% 5.07/5.38 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #13: unsound, references = 3, size of lhs = 3:
% 5.07/5.38 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #14: unsound, references = 3, size of lhs = 3:
% 5.07/5.38 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 number of simplifiers = 5
% 5.07/5.38
% 5.07/5.38 Learnt:
% 5.07/5.38 #16: exists( #5, #0 ), references = 24, size of lhs = 2:
% 5.07/5.38 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #20: mergings( V3 == V4; #18 ), references = 1, size of lhs = 4:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #23: exists( #5, #1 ), references = 4, size of lhs = 5:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #25: exists( #5, #2 ), references = 7, size of lhs = 4:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #30: mergings( V3 == V4; #28 ), references = 6, size of lhs = 5:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #39: mergings( V3 == V4; #37 ), references = 1, size of lhs = 5:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V1,V1,V0), P_not-{F}(V1,V2) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #42: mergings( V2 == V3; #40 ), references = 1, size of lhs = 4:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V1,V1,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #49: mergings( V3 == V4; #47 ), references = 11, size of lhs = 4:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #55: mergings( V3 == V4, V4 == V5; #52 ), references = 2, size of lhs = 12:
% 5.07/5.38 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-{F}(V3,V5,V6), P_implies-{F}(V2,V5,V7), P_not-{F}(V8,V6), P_not-{F}(V9,V7), P_implies-{F}(V9,V8,V10), P_implies-{F}(V0,V10,V11), V11 == V0 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #64: mergings( V3 == V4; #62 ), references = 1, size of lhs = 7:
% 5.07/5.38 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), V6 == V0 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #67: exists( #5, #3 ), references = 9, size of lhs = 5:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #73: mergings( V3 == V4; #71 ), references = 1, size of lhs = 3:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #80: mergings( V3 == V4, V4 == V5; #77 ), references = 1, size of lhs = 12:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V4,V0,V0), P_not-{F}(V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V6,V1), P_not-{F}(V9,V10), P_implies-{F}(V8,V10,V5) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #86: mergings( V2 == V3, V3 == V4, V4 == V5; #82 ), references = 2, size of lhs = 9:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V4,V0,V0), P_implies-{F}(V3,V5,V1), P_not-{F}(V5,V6), P_implies-{F}(V6,V0,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #91: exists( #7, #89 ), references = 1, size of lhs = 5:
% 5.07/5.38 P_truth-{F}(V0), P_y-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #99: mergings( V2 == V3; #96 ), references = 2, size of lhs = 6:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), V4 == V0 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #102: mergings( V2 == V3, V3 == V4; #97 ), references = 1, size of lhs = 7:
% 5.07/5.38 P_truth-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V1,V3), P_not-{F}(V4,V3), P_implies-{F}(V4,V2,V5), P_implies-{F}(V0,V5,V6), V6 == V0 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #106: exists( #5, #104 ), references = 3, size of lhs = 4:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), #-{F} V2 | P_implies-{T}(V1,V2,V0)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #110: mergings( V4 == V7; #108 ), references = 2, size of lhs = 8:
% 5.07/5.38 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}(V4,V2,V5), P_not-{F}(V3,V6), P_implies-{F}(V4,V6,V5) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #119: exists( #5, #112 ), references = 4, size of lhs = 8:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V1,V4) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #126: mergings( V3 == V4, V5 == V10; #123 ), references = 1, size of lhs = 10:
% 5.07/5.38 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}(V4,V2,V5), P_implies-{F}(V4,V6,V3), P_not-{F}(V7,V6), P_implies-{F}(V1,V7,V8), P_implies-{F}(V8,V7,V5) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #132: mergings( V2 == V3, V3 == V4, V4 == V6; #128 ), references = 1, size of lhs = 7:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V0), P_y-{F}(V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V4,V2,V3) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #163: mergings( V3 == V4, V4 == V5; #159 ), references = 2, size of lhs = 10:
% 5.07/5.38 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
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #166: exists( #5, #164 ), references = 12, size of lhs = 6:
% 5.07/5.38 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)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #174: mergings( V2 == V3, V3 == V4; #171 ), references = 2, size of lhs = 9:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V1,V4,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V6,V3,V7), P_implies-{F}(V0,V5,V8), V7 == V8 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #181: mergings( V3 == V4, V4 == V5, V5 == V6; #177 ), references = 1, size of lhs = 8:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V0,V4,V7) | P_implies-{T}(V2,V6,V7)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #186: mergings( V2 == V3; #184 ), references = 2, size of lhs = 9:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V5,V1,V4), P_implies-{F}(V3,V6,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V0,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #205: exists( #5, #197 ), references = 1, size of lhs = 9:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V6,V7,V4), P_implies-{F}(V7,V8,V5), P_implies-{F}(V6,V8,V1) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #207: mergings( V3 == V4; #204 ), references = 1, size of lhs = 11:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V6,V8,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V1,V9,V10), P_implies-{F}(V10,V9,V4) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #218: mergings( V3 == V4, V4 == V5; #214 ), references = 2, size of lhs = 14:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V0,V6,V7), P_implies-{F}(V4,V2,V8), P_implies-{F}(V8,V2,V9), P_implies-{F}(V0,V9,V10), V10 == V7, P_implies-{F}(V0,V11,V9), P_not-{F}(V12,V11), P_implies-{F}(V12,V13,V6) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #221: mergings( V3 == V4, V4 == V5; #215 ), references = 2, size of lhs = 11:
% 5.07/5.38 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}(V0,V7,V9), P_implies-{F}(V7,V8,V10), P_implies-{F}(V10,V8,V11), V9 == V11 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #229: mergings( V3 == V4, V4 == V5; #225 ), references = 2, size of lhs = 10:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,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}(V5,V9), P_implies-{F}(V0,V9,V7) | P_implies-{T}(V5,V4,V8)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #244: mergings( V3 == V4; #242 ), references = 1, size of lhs = 11:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V0), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V6,V7,V1), P_not-{F}(V7,V8), P_implies-{F}(V8,V3,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #250: mergings( V2 == V3, V3 == V4; #247 ), references = 1, size of lhs = 12:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V0), P_implies-{F}(V4,V3,V0), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V0), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #275: mergings( V2 == V3, V3 == V4; #271 ), references = 1, size of lhs = 19:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,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_not-{F}(V9,V8), P_not-{F}(V10,V7), P_implies-{F}(V10,V9,V11), P_implies-{F}(V11,V7,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V0,V8,V14), P_implies-{F}(V0,V14,V15), V15 == V13, P_implies-{F}(V0,V16,V14), P_not-{F}(V17,V16), P_implies-{F}(V17,V18,V12) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #278: mergings( V2 == V3, V3 == V4; #272 ), references = 1, size of lhs = 16:
% 5.07/5.38 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_not-{F}(V9,V8), P_not-{F}(V10,V7), P_implies-{F}(V10,V9,V11), P_implies-{F}(V0,V8,V12), P_implies-{F}(V11,V7,V13), P_implies-{F}(V0,V12,V14), P_implies-{F}(V12,V13,V15), P_implies-{F}(V15,V13,V16), V14 == V16 | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #284: mergings( V3 == V4, V4 == V5; #280 ), references = 1, size of lhs = 19:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,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_not-{F}(V9,V8), P_not-{F}(V10,V7), P_implies-{F}(V10,V9,V11), P_implies-{F}(V11,V7,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V0,V8,V14), P_implies-{F}(V0,V14,V15), V15 == V13, P_implies-{F}(V0,V16,V14), P_not-{F}(V17,V16), P_implies-{F}(V17,V18,V12) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #288: mergings( V3 == V4, V4 == V5, V5 == V6; #281 ), references = 1, size of lhs = 20:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V5,V7,V8), P_implies-{F}(V6,V3,V9), P_implies-{F}(V0,V8,V10), P_implies-{F}(V0,V9,V11), V10 == V11, P_implies-{F}(V0,V12,V8), P_not-{F}(V13,V12), P_implies-{F}(V14,V2,V15), P_implies-{F}(V16,V14,V12), P_not-{F}(V16,V17), P_implies-{F}(V15,V17,V18), P_not-{F}(V19,V18), P_implies-{F}(V19,V13,V20), P_implies-{F}(V20,V18,V9) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #297: mergings( V2 == V3, V3 == V4; #293 ), references = 2, size of lhs = 14:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,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,V10), P_implies-{F}(V0,V10,V11), P_implies-{F}(V8,V12,V10) | P_not-{T}(V8,V11)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #301: mergings( V2 == V3, V3 == V4, V4 == V5; #294 ), references = 1, size of lhs = 15:
% 5.07/5.38 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,V10), P_implies-{F}(V8,V11,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V0,V0), P_implies-{F}(V0,V10,V13) | P_not-{T}(V8,V13)
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #303: exists( #5, #110 ), references = 2, size of lhs = 6:
% 5.07/5.38 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V2), P_not-{F}(V1,V4) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #318: mergings( V2 == V3, V3 == V4, V4 == V8, V5 == V6, V8 == V11; #312 ), references = 1, size of lhs = 16:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_x-{F}(V3), P_y-{F}(V4), P_implies-{F}(V2,V4,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V3,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V6,V4,V4), P_implies-{F}(V4,V7,V0), P_not-{F}(V7,V8), P_implies-{F}(V8,V0,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #327: mergings( V2 == V0, V0 == V3; #324 ), references = 1, size of lhs = 7:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V1,V3) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #331: mergings( V2 == V3, V3 == V4; #328 ), references = 1, size of lhs = 6:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V0,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #338: mergings( V1 == V2, V2 == V3; #335 ), references = 1, size of lhs = 3:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #342: mergings( V1 == V2, V2 == V3; #339 ), references = 1, size of lhs = 2:
% 5.07/5.38 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 #345: exists( #6, #343 ), references = 1, size of lhs = 0:
% 5.07/5.38 FALSE | FALSE
% 5.07/5.38 (used 0 times, uses = {})
% 5.07/5.38
% 5.07/5.38 number of learnt formulas = 47
% 5.07/5.38
% 5.07/5.38
% 5.07/5.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.38
% 5.07/5.38 randbase = 1
%------------------------------------------------------------------------------