%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 12:05:42 PM UTC 2026
% Result : Unsatisfiable 16.95s 17.29s
% Output : Refutation 16.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.07/0.35 % Computer : n018.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 09:08:18 UTC 2026
% 0.07/0.35 % CPUTime :
% 16.95/17.29 GeoParameters:
% 16.95/17.29
% 16.95/17.29 tptp_input = 1
% 16.95/17.29 tptp_output = 0
% 16.95/17.29 nonempty = 1
% 16.95/17.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.95/17.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 16.95/17.29
% 16.95/17.29
% 16.95/17.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.95/17.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.95/17.29
% 16.95/17.29 RuleSystem INPUT:
% 16.95/17.29
% 16.95/17.29 Initial Rules:
% 16.95/17.29 #0: input, references = 5, size of lhs = 3:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #1: input, references = 8, size of lhs = 7:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #2: input, references = 10, size of lhs = 6:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #3: input, references = 6, size of lhs = 7:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #4: input, references = 12, size of lhs = 9:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V4,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V3,V7,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #5: input, references = 35, size of lhs = 2:
% 16.95/17.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #6: input, references = 4, size of lhs = 0:
% 16.95/17.29 FALSE | EXISTS V0: P_truth-{T}(V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #7: input, references = 24, size of lhs = 1:
% 16.95/17.29 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #8: input, references = 4, size of lhs = 0:
% 16.95/17.29 FALSE | EXISTS V0: P_x-{T}(V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #9: input, references = 5, size of lhs = 0:
% 16.95/17.29 FALSE | EXISTS V0: P_y-{T}(V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #10: input, references = 7, size of lhs = 0:
% 16.95/17.29 FALSE | EXISTS V0: P_z-{T}(V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 number of initial rules = 11
% 16.95/17.29
% 16.95/17.29 Simplifiers:
% 16.95/17.29 #11: unsound, references = 3, size of lhs = 3:
% 16.95/17.29 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #12: unsound, references = 3, size of lhs = 3:
% 16.95/17.29 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #13: unsound, references = 3, size of lhs = 3:
% 16.95/17.29 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #14: unsound, references = 3, size of lhs = 3:
% 16.95/17.29 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #15: unsound, references = 3, size of lhs = 3:
% 16.95/17.29 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #16: unsound, references = 3, size of lhs = 3:
% 16.95/17.29 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 number of simplifiers = 6
% 16.95/17.29
% 16.95/17.29 Learnt:
% 16.95/17.29 #18: exists( #5, #0 ), references = 63, size of lhs = 2:
% 16.95/17.29 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #22: mergings( V3 == V4; #20 ), references = 58, size of lhs = 4:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #24: exists( #5, #3 ), references = 12, size of lhs = 5:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #34: mergings( V3 == V4; #32 ), references = 1, size of lhs = 7:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V1,V1,V2), P_implies-{F}(V2,V0,V0), P_z-{F}(V3), P_implies-{F}(V3,V3,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #40: mergings( V1 == V2, V2 == V3; #37 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V1,V1,V2), P_implies-{F}(V2,V0,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #53: mergings( V3 == V4; #49 ), references = 18, size of lhs = 4:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #55: mergings( V3 == V4; #50 ), references = 1, size of lhs = 5:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V1), P_not-{F}(V5,V4) | P_implies-{T}(V5,V2,V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #68: mergings( V3 == V4; #66 ), references = 1, size of lhs = 9:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V4,V1,V0), P_not-{F}(V2,V5), P_not-{F}(V4,V6), P_implies-{F}(V5,V6,V3) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #75: mergings( V3 == V4; #73 ), references = 3, size of lhs = 8:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V4,V1,V0), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V2,V3) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #87: mergings( V2 == V3, V3 == V4; #84 ), references = 1, size of lhs = 7:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #94: mergings( V3 == V4, V4 == V5, V5 == V6; #90 ), references = 1, size of lhs = 5:
% 16.95/17.29 P_truth-{F}(V0), P_not-{F}(V0,V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V2,V4,V1) | P_implies-{T}(V3,V4,V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #102: mergings( V3 == V4; #100 ), references = 1, size of lhs = 7:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #105: exists( #5, #1 ), references = 15, size of lhs = 5:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #114: exists( #5, #2 ), references = 6, size of lhs = 4:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #118: mergings( V3 == V4; #116 ), references = 20, size of lhs = 5:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #124: mergings( V1 == V2; #122 ), references = 1, size of lhs = 5:
% 16.95/17.29 P_x-{F}(V0), P_implies-{F}(V0,V0,V0), P_truth-{F}(V0), P_y-{F}(V1), P_implies-{F}(V0,V1,V2) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #128: mergings( V1 == V2; #126 ), references = 1, size of lhs = 3:
% 16.95/17.29 P_x-{F}(V0), P_implies-{F}(V0,V0,V0), P_truth-{F}(V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #132: mergings( V3 == V4; #130 ), references = 5, size of lhs = 10:
% 16.95/17.29 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_z-{F}(V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V6,V7), P_implies-{F}(V4,V6,V8), P_implies-{F}(V7,V8,V5) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #140: mergings( V5 == V6, V1 == V2, V2 == V3; #136 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_y-{F}(V0), P_implies-{F}(V0,V0,V0), P_truth-{F}(V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #152: mergings( V3 == V4, V4 == V5; #149 ), references = 14, size of lhs = 8:
% 16.95/17.29 P_truth-{F}(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,V3,V6) | P_implies-{T}(V2,V5,V7)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #163: mergings( V3 == V4; #161 ), references = 11, size of lhs = 3:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #170: mergings( V3 == V4, V4 == V5; #167 ), references = 2, size of lhs = 11:
% 16.95/17.29 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_implies-{F}(V9,V1,V10), P_implies-{F}(V0,V10,V11), V11 == V0 | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #177: mergings( V3 == V4, V4 == V5; #174 ), references = 1, size of lhs = 6:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #181: mergings( V2 == V3; #179 ), references = 3, size of lhs = 8:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #188: exists( #5, #186 ), references = 1, size of lhs = 7:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_implies-{F}(V1,V1,V0), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V1), P_implies-{F}(V3,V2,V2) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #195: mergings( V3 == V4; #193 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_implies-{F}(V3,V4,V5), P_implies-{F}(V5,V4,V1) | P_implies-{T}(V4,V3,V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #203: exists( #5, #75 ), references = 2, size of lhs = 5:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #223: mergings( V7 == V8, V2 == V3, V3 == V4; #218 ), references = 2, size of lhs = 8:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V0), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V0,V4,V4) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #226: mergings( V2 == V3, V3 == V4; #219 ), references = 1, size of lhs = 10:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V0), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V0,V6,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #237: exists( #5, #233 ), references = 2, size of lhs = 10:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V2,V7,V8), P_implies-{F}(V1,V7,V9), P_implies-{F}(V8,V9,V6) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #238: exists( #5, #234 ), references = 2, size of lhs = 11:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V5,V6), P_implies-{F}(V1,V5,V7), P_implies-{F}(V6,V7,V0), P_implies-{F}(V1,V8,V9), P_implies-{F}(V3,V8,V10), P_implies-{F}(V9,V10,V4) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #257: mergings( V3 == V4, V4 == V5; #254 ), references = 3, size of lhs = 7:
% 16.95/17.29 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)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #264: exists( #7, #262 ), references = 6, size of lhs = 7:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V1), P_implies-{F}(V0,V3,V2), P_not-{F}(V4,V3), P_implies-{F}(V4,V3,V2) | P_not-{T}(V3,V0)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #276: mergings( V2 == V3, V3 == V4; #273 ), references = 4, size of lhs = 7:
% 16.95/17.29 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
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #335: mergings( V3 == V4, V4 == V5, V5 == V12; #329 ), references = 18, size of lhs = 12:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V1,V6,V7), P_implies-{F}(V7,V6,V4), P_implies-{F}(V0,V5,V8), P_not-{F}(V6,V9), P_implies-{F}(V0,V9,V5) | P_implies-{T}(V6,V1,V8)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #352: mergings( V2 == V3; #349 ), references = 1, size of lhs = 11:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V1,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V0,V5,V4), P_implies-{F}(V1,V4,V6), P_implies-{F}(V6,V4,V5), P_implies-{F}(V1,V3,V7), P_implies-{F}(V7,V3,V8) | P_not-{T}(V4,V8)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #354: mergings( V2 == V3; #350 ), references = 16, size of lhs = 10:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V1,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V0,V5,V4), P_implies-{F}(V1,V4,V6), P_implies-{F}(V6,V4,V5), P_implies-{F}(V0,V3,V7) | P_not-{T}(V4,V7)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #370: mergings( V3 == V4; #367 ), references = 1, size of lhs = 11:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_implies-{F}(V2,V5,V0), P_implies-{F}(V3,V2,V6), P_not-{F}(V1,V6), P_not-{F}(V6,V1) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #372: mergings( V3 == V4; #368 ), references = 1, size of lhs = 11:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_implies-{F}(V1,V1,V0), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_implies-{F}(V3,V2,V5), P_not-{F}(V1,V5), P_not-{F}(V5,V1) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #401: mergings( V2 == V3, V0 == V19, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #393 ), references = 1, size of lhs = 23:
% 16.95/17.29 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_not-{F}(V3,V2), P_not-{F}(V2,V4), P_z-{F}(V5), P_implies-{F}(V5,V1,V6), P_not-{F}(V6,V7), P_not-{F}(V7,V6), P_implies-{F}(V2,V7,V0), P_implies-{F}(V3,V1,V8), P_implies-{F}(V0,V8,V5), P_implies-{F}(V4,V1,V8), P_not-{F}(V0,V9), P_not-{F}(V9,V0), P_not-{F}(V10,V9), P_implies-{F}(V10,V1,V1), P_implies-{F}(V11,V9,V9), P_implies-{F}(V1,V11,V0), P_implies-{F}(V12,V9,V2), P_implies-{F}(V1,V12,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #409: mergings( V2 == V3, V0 == V18, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V12; #394 ), references = 1, size of lhs = 22:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_not-{F}(V3,V2), P_z-{F}(V4), P_implies-{F}(V4,V1,V5), P_not-{F}(V2,V5), P_not-{F}(V5,V2), P_implies-{F}(V3,V1,V6), P_implies-{F}(V0,V6,V4), P_implies-{F}(V5,V1,V6), P_not-{F}(V0,V7), P_not-{F}(V7,V0), P_not-{F}(V8,V7), P_implies-{F}(V8,V1,V1), P_implies-{F}(V9,V7,V7), P_implies-{F}(V1,V9,V0), P_implies-{F}(V10,V7,V2), P_implies-{F}(V1,V10,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #437: mergings( V12 == V18, V16 == V22, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0, V0 == V8, V8 == V9, V9 == V10, V10 == V11, V20 == V25; #422 ), references = 1, size of lhs = 26:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_not-{F}(V3,V2), P_z-{F}(V4), P_implies-{F}(V4,V1,V5), P_not-{F}(V5,V2), P_implies-{F}(V3,V1,V6), P_implies-{F}(V0,V6,V4), P_implies-{F}(V5,V1,V6), P_implies-{F}(V0,V2,V7), P_implies-{F}(V0,V7,V2), P_implies-{F}(V0,V5,V8), P_implies-{F}(V1,V8,V0), P_implies-{F}(V8,V0,V0), P_implies-{F}(V0,V8,V5), P_implies-{F}(V0,V9,V5), P_not-{F}(V9,V10), P_implies-{F}(V0,V10,V2), P_not-{F}(V8,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V10) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #451: mergings( V12 == V18, V16 == V22, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0, V0 == V8, V8 == V9, V9 == V10, V10 == V11, V20 == V25; #423 ), references = 1, size of lhs = 26:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_not-{F}(V3,V2), P_z-{F}(V4), P_implies-{F}(V4,V1,V5), P_not-{F}(V5,V2), P_implies-{F}(V3,V1,V6), P_implies-{F}(V0,V6,V4), P_implies-{F}(V5,V1,V6), P_implies-{F}(V0,V2,V7), P_implies-{F}(V0,V7,V2), P_implies-{F}(V0,V5,V8), P_implies-{F}(V1,V8,V0), P_implies-{F}(V8,V0,V0), P_implies-{F}(V0,V8,V5), P_implies-{F}(V0,V9,V5), P_not-{F}(V9,V10), P_implies-{F}(V0,V10,V2), P_not-{F}(V8,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V10) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #462: mergings( V3 == V6, V6 == V4; #457 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V0), P_z-{F}(V3) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #464: mergings( V3 == V4; #458 ), references = 1, size of lhs = 8:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V0), P_z-{F}(V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #465: exists( #5, #456 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V0), P_y-{F}(V2), P_z-{F}(V3) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #489: mergings( V3 == V4; #487 ), references = 2, size of lhs = 14:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V4,V5,V6), P_not-{F}(V2,V7), P_not-{F}(V7,V2), P_not-{F}(V1,V8), P_not-{F}(V8,V1), P_implies-{F}(V8,V9,V10), P_implies-{F}(V7,V9,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #505: mergings( V3 == V4; #503 ), references = 3, size of lhs = 16:
% 16.95/17.29 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_implies-{F}(V3,V2,V6), P_not-{F}(V6,V7), P_not-{F}(V7,V6), P_not-{F}(V2,V8), P_not-{F}(V8,V2), P_not-{F}(V1,V9), P_not-{F}(V9,V1), P_implies-{F}(V9,V10,V4), P_implies-{F}(V8,V10,V6) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #519: mergings( V2 == V3; #517 ), references = 3, size of lhs = 25:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_implies-{F}(V3,V2,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V2,V7), P_not-{F}(V7,V2), P_not-{F}(V1,V8), P_not-{F}(V8,V1), P_implies-{F}(V8,V9,V4), P_implies-{F}(V7,V9,V6), P_not-{F}(V0,V10), P_not-{F}(V10,V0), P_not-{F}(V11,V10), P_implies-{F}(V12,V10,V10), P_implies-{F}(V6,V12,V0), P_implies-{F}(V11,V6,V13), P_implies-{F}(V0,V13,V6), P_implies-{F}(V10,V6,V14), P_implies-{F}(V14,V6,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #526: mergings( V3 == V4; #524 ), references = 2, size of lhs = 22:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V2,V3), P_not-{F}(V3,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V6,V1), P_implies-{F}(V6,V2,V4), P_not-{F}(V0,V7), P_not-{F}(V7,V0), P_implies-{F}(V3,V8,V0), P_implies-{F}(V8,V2,V9), P_implies-{F}(V7,V9,V0), P_implies-{F}(V10,V7,V7), P_implies-{F}(V2,V11,V12), P_implies-{F}(V3,V11,V13), P_implies-{F}(V12,V13,V10) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #549: mergings( V2 == V3, V8 == V11; #544 ), references = 2, size of lhs = 28:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V2,V3), P_not-{F}(V3,V2), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V1,V5), P_not-{F}(V5,V1), P_implies-{F}(V5,V2,V4), P_implies-{F}(V3,V6,V0), P_implies-{F}(V6,V2,V7), P_not-{F}(V0,V8), P_implies-{F}(V8,V7,V0), P_not-{F}(V8,V0), P_not-{F}(V9,V8), P_implies-{F}(V10,V8,V8), P_implies-{F}(V4,V10,V0), P_implies-{F}(V9,V4,V11), P_implies-{F}(V0,V11,V4), P_implies-{F}(V8,V4,V12), P_implies-{F}(V12,V4,V11), P_implies-{F}(V13,V8,V8), P_implies-{F}(V2,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #570: mergings( V2 == V3, V0 == V20, V3 == V4, V4 == V5, V10 == V17, V8 == V9, V17 == V11; #562 ), references = 1, size of lhs = 30:
% 16.95/17.29 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_not-{F}(V3,V2), P_z-{F}(V4), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_implies-{F}(V3,V1,V5), P_implies-{F}(V1,V5,V0), P_implies-{F}(V4,V1,V5), P_implies-{F}(V0,V5,V5), P_implies-{F}(V4,V6,V0), P_implies-{F}(V6,V2,V7), P_not-{F}(V0,V8), P_implies-{F}(V8,V7,V0), P_not-{F}(V8,V0), P_not-{F}(V9,V8), P_implies-{F}(V9,V5,V5), P_implies-{F}(V10,V8,V8), P_implies-{F}(V5,V10,V0), P_not-{F}(V11,V8), P_implies-{F}(V11,V1,V1), P_implies-{F}(V12,V8,V8), P_implies-{F}(V1,V12,V0), P_implies-{F}(V13,V8,V8), P_implies-{F}(V2,V14,V15), P_implies-{F}(V4,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #586: mergings( V5 == V13, V9 == V10, V10 == V12, V2 == V3, V3 == V4, V4 == V0, V8 == V17, V15 == V20; #577 ), references = 1, size of lhs = 30:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_not-{F}(V3,V2), P_z-{F}(V4), P_not-{F}(V4,V2), P_implies-{F}(V3,V1,V5), P_implies-{F}(V1,V5,V0), P_implies-{F}(V5,V0,V0), P_implies-{F}(V4,V1,V5), P_implies-{F}(V0,V5,V5), P_implies-{F}(V4,V6,V0), P_implies-{F}(V6,V2,V2), P_implies-{F}(V0,V2,V7), P_implies-{F}(V0,V7,V2), P_implies-{F}(V0,V4,V8), P_implies-{F}(V8,V0,V0), P_implies-{F}(V0,V8,V4), P_implies-{F}(V0,V9,V4), P_not-{F}(V9,V10), P_implies-{F}(V0,V10,V2), P_not-{F}(V8,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V10), P_implies-{F}(V2,V12,V13), P_implies-{F}(V4,V12,V14), P_implies-{F}(V13,V14,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #595: mergings( V1 == V7, V3 == V4, V0 == V11, V9 == V14; #590 ), references = 1, size of lhs = 29:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V3,V2), P_implies-{F}(V3,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V3,V6,V0), P_implies-{F}(V6,V1,V1), P_implies-{F}(V0,V3,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V0,V7,V3), P_implies-{F}(V0,V8,V3), P_not-{F}(V8,V9), P_implies-{F}(V0,V9,V2), P_not-{F}(V7,V10), P_implies-{F}(V10,V0,V0), P_implies-{F}(V0,V10,V9), P_implies-{F}(V1,V11,V12), P_implies-{F}(V3,V11,V13), P_implies-{F}(V12,V13,V0), P_implies-{F}(V2,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #619: mergings( V2 == V3; #616 ), references = 2, size of lhs = 25:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V4), P_implies-{F}(V3,V2,V5), P_not-{F}(V5,V6), P_not-{F}(V6,V5), P_not-{F}(V2,V7), P_not-{F}(V7,V2), P_not-{F}(V1,V8), P_not-{F}(V8,V1), P_implies-{F}(V8,V9,V4), P_implies-{F}(V7,V9,V5), P_not-{F}(V0,V10), P_not-{F}(V10,V0), P_not-{F}(V11,V10), P_implies-{F}(V12,V10,V10), P_implies-{F}(V4,V12,V0), P_implies-{F}(V11,V4,V13), P_implies-{F}(V0,V13,V4), P_implies-{F}(V10,V4,V14), P_implies-{F}(V14,V4,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #622: mergings( V2 == V3, V11 == V16; #617 ), references = 3, size of lhs = 31:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V0,V5,V5), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_not-{F}(V1,V7), P_not-{F}(V7,V1), P_implies-{F}(V7,V8,V4), P_implies-{F}(V6,V8,V5), P_implies-{F}(V5,V9,V0), P_not-{F}(V0,V10), P_implies-{F}(V9,V10,V10), P_not-{F}(V10,V0), P_not-{F}(V11,V10), P_implies-{F}(V11,V5,V12), P_implies-{F}(V0,V12,V5), P_implies-{F}(V10,V5,V13), P_implies-{F}(V13,V5,V12), P_not-{F}(V14,V10), P_implies-{F}(V15,V10,V10), P_implies-{F}(V4,V15,V0), P_implies-{F}(V14,V4,V16), P_implies-{F}(V0,V16,V4), P_implies-{F}(V10,V4,V17), P_implies-{F}(V17,V4,V16) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #634: mergings( V3 == V4; #631 ), references = 1, size of lhs = 22:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V1,V3), P_not-{F}(V3,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_implies-{F}(V6,V1,V4), P_not-{F}(V0,V7), P_not-{F}(V7,V0), P_implies-{F}(V3,V8,V0), P_implies-{F}(V8,V1,V9), P_implies-{F}(V7,V9,V0), P_implies-{F}(V10,V7,V7), P_implies-{F}(V1,V11,V12), P_implies-{F}(V3,V11,V13), P_implies-{F}(V12,V13,V10) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #637: mergings( V3 == V4, V8 == V13; #632 ), references = 2, size of lhs = 28:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V1,V3), P_not-{F}(V3,V1), P_implies-{F}(V3,V2,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V2,V5), P_not-{F}(V5,V2), P_implies-{F}(V5,V1,V4), P_implies-{F}(V4,V6,V0), P_not-{F}(V0,V7), P_implies-{F}(V6,V7,V7), P_not-{F}(V7,V0), P_not-{F}(V8,V7), P_implies-{F}(V8,V4,V9), P_implies-{F}(V0,V9,V4), P_implies-{F}(V7,V4,V10), P_implies-{F}(V10,V4,V9), P_implies-{F}(V3,V11,V0), P_implies-{F}(V11,V1,V12), P_implies-{F}(V7,V12,V0), P_implies-{F}(V13,V7,V7), P_implies-{F}(V1,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #671: exists( #5, #665 ), references = 2, size of lhs = 25:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V1,V3), P_not-{F}(V3,V1), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_not-{F}(V0,V5), P_not-{F}(V5,V0), P_implies-{F}(V3,V6,V0), P_implies-{F}(V6,V1,V7), P_implies-{F}(V5,V7,V0), P_implies-{F}(V3,V8,V0), P_implies-{F}(V8,V2,V9), P_implies-{F}(V5,V9,V0), P_implies-{F}(V10,V5,V5), P_implies-{F}(V11,V5,V5), P_implies-{F}(V2,V12,V13), P_implies-{F}(V3,V12,V14), P_implies-{F}(V13,V14,V10), P_implies-{F}(V1,V15,V16), P_implies-{F}(V3,V15,V17), P_implies-{F}(V16,V17,V11) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #672: exists( #5, #666 ), references = 1, size of lhs = 24:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_not-{F}(V1,V7), P_not-{F}(V7,V1), P_not-{F}(V0,V8), P_not-{F}(V8,V0), P_not-{F}(V3,V9), P_implies-{F}(V7,V9,V4), P_not-{F}(V9,V3), P_implies-{F}(V3,V10,V0), P_implies-{F}(V10,V2,V11), P_implies-{F}(V8,V11,V0), P_implies-{F}(V12,V8,V8), P_implies-{F}(V2,V13,V14), P_implies-{F}(V3,V13,V15), P_implies-{F}(V14,V15,V12) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #673: exists( #5, #667 ), references = 2, size of lhs = 30:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V2,V5), P_not-{F}(V5,V2), P_not-{F}(V1,V6), P_not-{F}(V6,V1), P_not-{F}(V0,V7), P_not-{F}(V7,V0), P_not-{F}(V8,V7), P_implies-{F}(V9,V7,V7), P_implies-{F}(V4,V9,V0), P_implies-{F}(V8,V4,V10), P_implies-{F}(V0,V10,V4), P_implies-{F}(V7,V4,V11), P_implies-{F}(V11,V4,V10), P_not-{F}(V3,V12), P_implies-{F}(V6,V12,V4), P_not-{F}(V12,V3), P_implies-{F}(V3,V13,V0), P_implies-{F}(V13,V2,V14), P_implies-{F}(V7,V14,V0), P_implies-{F}(V15,V7,V7), P_implies-{F}(V2,V16,V17), P_implies-{F}(V3,V16,V18), P_implies-{F}(V17,V18,V15) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #710: mergings( V2 == V3, V0 == V12; #705 ), references = 1, size of lhs = 27:
% 16.95/17.29 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_z-{F}(V3), P_not-{F}(V1,V3), P_not-{F}(V3,V1), P_not-{F}(V0,V4), P_not-{F}(V4,V0), P_implies-{F}(V3,V5,V0), P_implies-{F}(V5,V1,V6), P_implies-{F}(V4,V6,V0), P_implies-{F}(V3,V7,V0), P_implies-{F}(V7,V2,V2), P_not-{F}(V8,V4), P_implies-{F}(V8,V2,V2), P_implies-{F}(V9,V4,V4), P_implies-{F}(V2,V9,V0), P_implies-{F}(V10,V4,V4), P_implies-{F}(V11,V4,V4), P_implies-{F}(V2,V12,V13), P_implies-{F}(V3,V12,V14), P_implies-{F}(V13,V14,V10), P_implies-{F}(V1,V15,V16), P_implies-{F}(V3,V15,V17), P_implies-{F}(V16,V17,V11) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #722: mergings( V4 == V8, V2 == V0, V5 == V12, V10 == V15; #717 ), references = 1, size of lhs = 29:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V2), P_z-{F}(V3), P_not-{F}(V3,V1), P_implies-{F}(V3,V4,V0), P_implies-{F}(V4,V1,V1), P_implies-{F}(V3,V5,V0), P_implies-{F}(V5,V2,V2), P_implies-{F}(V0,V1,V6), P_implies-{F}(V0,V6,V1), P_implies-{F}(V0,V3,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V0,V7,V3), P_implies-{F}(V0,V8,V3), P_not-{F}(V8,V9), P_implies-{F}(V0,V9,V1), P_not-{F}(V7,V10), P_implies-{F}(V10,V0,V0), P_implies-{F}(V0,V10,V9), P_implies-{F}(V2,V11,V12), P_implies-{F}(V3,V11,V13), P_implies-{F}(V12,V13,V0), P_implies-{F}(V1,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #728: mergings( V2 == V3; #726 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V4,V1,V2) | P_not-{T}(V4,V3)
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #736: mergings( V2 == V3; #734 ), references = 1, size of lhs = 6:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V3,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #762: exists( #5, #756 ), references = 2, size of lhs = 24:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_not-{F}(V1,V7), P_not-{F}(V7,V1), P_not-{F}(V0,V8), P_not-{F}(V8,V0), P_not-{F}(V3,V9), P_implies-{F}(V6,V9,V4), P_not-{F}(V9,V3), P_implies-{F}(V3,V10,V0), P_implies-{F}(V10,V1,V11), P_implies-{F}(V8,V11,V0), P_implies-{F}(V12,V8,V8), P_implies-{F}(V1,V13,V14), P_implies-{F}(V3,V13,V15), P_implies-{F}(V14,V15,V12) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #763: exists( #5, #757 ), references = 2, size of lhs = 27:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_not-{F}(V1,V5), P_not-{F}(V5,V1), P_not-{F}(V0,V6), P_not-{F}(V6,V0), P_not-{F}(V3,V7), P_not-{F}(V7,V3), P_implies-{F}(V3,V8,V0), P_implies-{F}(V8,V2,V9), P_implies-{F}(V6,V9,V0), P_implies-{F}(V3,V10,V0), P_implies-{F}(V10,V1,V11), P_implies-{F}(V6,V11,V0), P_implies-{F}(V12,V6,V6), P_implies-{F}(V13,V6,V6), P_implies-{F}(V1,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V12), P_implies-{F}(V2,V17,V18), P_implies-{F}(V3,V17,V19), P_implies-{F}(V18,V19,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #764: exists( #5, #758 ), references = 2, size of lhs = 30:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V2,V5), P_not-{F}(V5,V2), P_not-{F}(V1,V6), P_not-{F}(V6,V1), P_implies-{F}(V4,V7,V0), P_not-{F}(V0,V8), P_implies-{F}(V7,V8,V8), P_not-{F}(V8,V0), P_not-{F}(V9,V8), P_implies-{F}(V9,V4,V10), P_implies-{F}(V0,V10,V4), P_implies-{F}(V8,V4,V11), P_implies-{F}(V11,V4,V10), P_not-{F}(V3,V12), P_implies-{F}(V5,V12,V4), P_not-{F}(V12,V3), P_implies-{F}(V3,V13,V0), P_implies-{F}(V13,V1,V14), P_implies-{F}(V8,V14,V0), P_implies-{F}(V15,V8,V8), P_implies-{F}(V1,V16,V17), P_implies-{F}(V3,V16,V18), P_implies-{F}(V17,V18,V15) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #794: mergings( V2 == V3, V0 == V14; #789 ), references = 1, size of lhs = 26:
% 16.95/17.29 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_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_not-{F}(V0,V7), P_not-{F}(V7,V0), P_not-{F}(V3,V8), P_implies-{F}(V6,V8,V4), P_not-{F}(V8,V3), P_implies-{F}(V3,V9,V0), P_implies-{F}(V9,V1,V1), P_not-{F}(V10,V7), P_implies-{F}(V10,V1,V1), P_implies-{F}(V11,V7,V7), P_implies-{F}(V1,V11,V0), P_implies-{F}(V12,V7,V7), P_implies-{F}(V1,V13,V14), P_implies-{F}(V3,V13,V15), P_implies-{F}(V14,V15,V12) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #797: mergings( V2 == V3, V0 == V14; #790 ), references = 2, size of lhs = 29:
% 16.95/17.29 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_z-{F}(V3), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_not-{F}(V0,V5), P_not-{F}(V5,V0), P_not-{F}(V3,V6), P_not-{F}(V6,V3), P_implies-{F}(V3,V7,V0), P_implies-{F}(V7,V2,V8), P_implies-{F}(V5,V8,V0), P_implies-{F}(V3,V9,V0), P_implies-{F}(V9,V1,V1), P_not-{F}(V10,V5), P_implies-{F}(V10,V1,V1), P_implies-{F}(V11,V5,V5), P_implies-{F}(V1,V11,V0), P_implies-{F}(V12,V5,V5), P_implies-{F}(V13,V5,V5), P_implies-{F}(V1,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V12), P_implies-{F}(V2,V17,V18), P_implies-{F}(V3,V17,V19), P_implies-{F}(V18,V19,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #800: mergings( V2 == V3, V0 == V17; #791 ), references = 1, size of lhs = 32:
% 16.95/17.29 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_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V2,V5), P_not-{F}(V5,V2), P_implies-{F}(V4,V6,V0), P_not-{F}(V0,V7), P_implies-{F}(V6,V7,V7), P_not-{F}(V7,V0), P_not-{F}(V8,V7), P_implies-{F}(V8,V4,V9), P_implies-{F}(V0,V9,V4), P_implies-{F}(V7,V4,V10), P_implies-{F}(V10,V4,V9), P_not-{F}(V3,V11), P_implies-{F}(V5,V11,V4), P_not-{F}(V11,V3), P_implies-{F}(V3,V12,V0), P_implies-{F}(V12,V1,V1), P_not-{F}(V13,V7), P_implies-{F}(V13,V1,V1), P_implies-{F}(V14,V7,V7), P_implies-{F}(V1,V14,V0), P_implies-{F}(V15,V7,V7), P_implies-{F}(V1,V16,V17), P_implies-{F}(V3,V16,V18), P_implies-{F}(V17,V18,V15) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #871: mergings( V2 == V3, V0 == V14; #866 ), references = 1, size of lhs = 31:
% 16.95/17.29 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), P_z-{F}(V3), P_not-{F}(V0,V4), P_not-{F}(V4,V0), P_not-{F}(V3,V5), P_not-{F}(V5,V3), P_implies-{F}(V3,V6,V0), P_implies-{F}(V6,V2,V2), P_implies-{F}(V3,V7,V0), P_implies-{F}(V7,V1,V1), P_not-{F}(V8,V4), P_implies-{F}(V8,V1,V1), P_implies-{F}(V9,V4,V4), P_implies-{F}(V1,V9,V0), P_not-{F}(V10,V4), P_implies-{F}(V10,V2,V2), P_implies-{F}(V11,V4,V4), P_implies-{F}(V2,V11,V0), P_implies-{F}(V12,V4,V4), P_implies-{F}(V13,V4,V4), P_implies-{F}(V1,V14,V15), P_implies-{F}(V3,V14,V16), P_implies-{F}(V15,V16,V12), P_implies-{F}(V2,V17,V18), P_implies-{F}(V3,V17,V19), P_implies-{F}(V18,V19,V13) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #884: mergings( V5 == V10, V2 == V3, V3 == V0, V6 == V14, V12 == V17; #878 ), references = 1, size of lhs = 31:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V2), P_z-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V0), P_implies-{F}(V5,V2,V2), P_implies-{F}(V3,V6,V0), P_implies-{F}(V6,V1,V1), P_implies-{F}(V0,V4,V7), P_implies-{F}(V0,V7,V4), P_implies-{F}(V0,V3,V8), P_implies-{F}(V8,V0,V0), P_implies-{F}(V0,V8,V3), P_implies-{F}(V0,V9,V3), P_not-{F}(V9,V10), P_implies-{F}(V0,V10,V4), P_not-{F}(V8,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V10), P_implies-{F}(V1,V12,V13), P_implies-{F}(V3,V12,V14), P_implies-{F}(V13,V14,V0), P_implies-{F}(V2,V15,V16), P_implies-{F}(V3,V15,V17), P_implies-{F}(V16,V17,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #892: mergings( V5 == V8, V0 == V9, V2 == V3; #888 ), references = 2, size of lhs = 21:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V2), P_z-{F}(V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V0,V3,V3), P_implies-{F}(V3,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V3,V5,V0), P_implies-{F}(V5,V1,V1), P_implies-{F}(V1,V6,V7), P_implies-{F}(V3,V6,V8), P_implies-{F}(V7,V8,V0), P_implies-{F}(V2,V9,V10), P_implies-{F}(V3,V9,V11), P_implies-{F}(V10,V11,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #899: mergings( V1 == V4, V4 == V5; #896 ), references = 1, size of lhs = 8:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_y-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V0,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #905: mergings( V1 == V3; #903 ), references = 1, size of lhs = 5:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #910: exists( #8, #908 ), references = 1, size of lhs = 2:
% 16.95/17.29 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 #913: exists( #6, #911 ), references = 1, size of lhs = 0:
% 16.95/17.29 FALSE | FALSE
% 16.95/17.29 (used 0 times, uses = {})
% 16.95/17.29
% 16.95/17.29 number of learnt formulas = 78
% 16.95/17.29
% 16.95/17.29
% 16.95/17.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.95/17.29
% 16.95/17.29 randbase = 1
%------------------------------------------------------------------------------