%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 12:05:47 PM UTC 2026
% Result : Unsatisfiable 267.03s 267.30s
% Output : Refutation 267.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 4 15:19:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 267.03/267.30 GeoParameters:
% 267.03/267.30
% 267.03/267.30 tptp_input = 1
% 267.03/267.30 tptp_output = 0
% 267.03/267.30 nonempty = 1
% 267.03/267.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 267.03/267.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 267.03/267.30
% 267.03/267.30
% 267.03/267.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 267.03/267.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 267.03/267.30
% 267.03/267.30 RuleSystem INPUT:
% 267.03/267.30
% 267.03/267.30 Initial Rules:
% 267.03/267.30 #0: input, references = 4, size of lhs = 3:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1: input, references = 7, size of lhs = 7:
% 267.03/267.30 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
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #2: input, references = 8, size of lhs = 6:
% 267.03/267.30 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
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #3: input, references = 7, size of lhs = 7:
% 267.03/267.30 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
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #4: input, references = 6, size of lhs = 5:
% 267.03/267.30 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V4,V2,V5), V3 == V5 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #5: input, references = 4, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_or-{F}(V1,V2,V4), P_or-{F}(V4,V3,V5), P_or-{F}(V2,V3,V6), P_or-{F}(V1,V6,V7), V5 == V7 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #6: input, references = 4, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_or-{F}(V2,V1,V4), V3 == V4 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #7: input, references = 5, size of lhs = 7:
% 267.03/267.30 P_truth-{F}(V0), P_and-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V2,V5), P_or-{F}(V4,V5,V6), P_not-{F}(V6,V7), V3 == V7 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #8: input, references = 3, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_and-{F}(V1,V2,V4), P_and-{F}(V4,V3,V5), P_and-{F}(V2,V3,V6), P_and-{F}(V1,V6,V7), V5 == V7 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #9: input, references = 4, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_and-{F}(V1,V2,V3), P_and-{F}(V2,V1,V4), V3 == V4 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #10: input, references = 6, size of lhs = 8:
% 267.03/267.30 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3), P_not-{F}(V2,V4), P_and-{F}(V1,V4,V5), P_not-{F}(V1,V6), P_and-{F}(V6,V2,V7), P_or-{F}(V5,V7,V8), V3 == V8 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #11: input, references = 4, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3), P_xor-{F}(V2,V1,V4), V3 == V4 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #12: input, references = 5, size of lhs = 7:
% 267.03/267.30 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V2,V5), P_or-{F}(V4,V5,V6), P_not-{F}(V6,V7), V3 == V7 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #13: input, references = 4, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V4), P_and_star-{F}(V4,V3,V5), P_and_star-{F}(V2,V3,V6), P_and_star-{F}(V1,V6,V7), V5 == V7 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #14: input, references = 4, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3), P_and_star-{F}(V2,V1,V4), V3 == V4 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #15: input, references = 4, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), V1 == V2 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #16: input, references = 8, size of lhs = 13:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_xor-{F}(V0,V3,V4), P_y-{F}(V5), P_and_star-{F}(V4,V5,V6), P_xor-{F}(V6,V0,V7), P_and_star-{F}(V7,V5,V12), P_xor-{F}(V0,V5,V9), P_and_star-{F}(V9,V3,V10), P_xor-{F}(V10,V0,V11), P_and_star-{F}(V11,V3,V12) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #17: input, references = 10, size of lhs = 2:
% 267.03/267.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #18: input, references = 4, size of lhs = 0:
% 267.03/267.30 FALSE | EXISTS V0: P_truth-{T}(V0)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #19: input, references = 12, size of lhs = 1:
% 267.03/267.30 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #20: input, references = 14, size of lhs = 2:
% 267.03/267.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #21: input, references = 11, size of lhs = 2:
% 267.03/267.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #22: input, references = 7, size of lhs = 2:
% 267.03/267.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_xor-{T}(V0,V1,V2)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #23: input, references = 6, size of lhs = 2:
% 267.03/267.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_and_star-{T}(V0,V1,V2)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #24: input, references = 4, size of lhs = 0:
% 267.03/267.30 FALSE | EXISTS V0: P_falsehood-{T}(V0)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #25: input, references = 4, size of lhs = 0:
% 267.03/267.30 FALSE | EXISTS V0: P_x-{T}(V0)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #26: input, references = 5, size of lhs = 0:
% 267.03/267.30 FALSE | EXISTS V0: P_y-{T}(V0)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 number of initial rules = 27
% 267.03/267.30
% 267.03/267.30 Simplifiers:
% 267.03/267.30 #27: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #28: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #29: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #30: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #31: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #32: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_xor-{F}(V0,V1,V2), P_xor-{F}(V0,V1,V5), V2 == V5 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #33: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_and_star-{F}(V0,V1,V2), P_and_star-{F}(V0,V1,V5), V2 == V5 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #34: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_falsehood-{F}(V0), P_falsehood-{F}(V1), V0 == V1 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #35: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #36: unsound, references = 3, size of lhs = 3:
% 267.03/267.30 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 number of simplifiers = 10
% 267.03/267.30
% 267.03/267.30 Learnt:
% 267.03/267.30 #38: exists( #17, #0 ), references = 29, size of lhs = 2:
% 267.03/267.30 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #44: mergings( V3 == V4; #41 ), references = 20, size of lhs = 4:
% 267.03/267.30 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)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #46: mergings( V3 == V4; #42 ), references = 1, size of lhs = 4:
% 267.03/267.30 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)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #48: exists( #19, #15 ), references = 2, size of lhs = 2:
% 267.03/267.30 P_truth-{F}(V0), P_falsehood-{F}(V1) | P_not-{T}(V0,V1)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #50: exists( #20, #4 ), references = 59, size of lhs = 3:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V4) | P_or-{T}(V1,V3,V4)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #52: exists( #20, #5 ), references = 29, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_or-{F}(V3,V4,V5), P_or-{F}(V2,V4,V6) | P_or-{T}(V1,V6,V5)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #56: exists( #21, #7 ), references = 24, size of lhs = 5:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_or-{F}(V2,V4,V5), P_not-{F}(V5,V6) | P_and-{T}(V1,V3,V6)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #58: exists( #22, #10 ), references = 15, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V4), P_not-{F}(V3,V5), P_and-{F}(V5,V1,V6), P_or-{F}(V4,V6,V7) | P_xor-{T}(V3,V1,V7)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #60: exists( #17, #4 ), references = 33, size of lhs = 3:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V1,V3,V4) | P_implies-{T}(V2,V3,V4)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #65: exists( #20, #6 ), references = 69, size of lhs = 2:
% 267.03/267.30 P_truth-{F}(V0), P_or-{F}(V1,V2,V3) | P_or-{T}(V2,V1,V3)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #68: exists( #23, #12 ), references = 11, size of lhs = 5:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_or-{F}(V2,V4,V5), P_not-{F}(V5,V6) | P_and_star-{T}(V1,V3,V6)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #70: exists( #17, #2 ), references = 14, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V1,V4), P_implies-{F}(V4,V1,V5) | P_implies-{T}(V3,V2,V5)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #88: mergings( V2 == V3, V3 == V4, V4 == V5; #83 ), references = 1, size of lhs = 4:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V1,V0,V2), V2 == V0 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #102: mergings( V3 == V4; #100 ), references = 9, size of lhs = 5:
% 267.03/267.30 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)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #110: mergings( V3 == V4, V4 == V5; #107 ), references = 2, size of lhs = 8:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V6,V2,V7), V7 == V0 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #128: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #118 ), references = 2, size of lhs = 7:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V1,V0), P_or-{F}(V2,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V5,V2,V4) | P_not-{T}(V2,V0)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #141: exists( #21, #9 ), references = 28, size of lhs = 2:
% 267.03/267.30 P_truth-{F}(V0), P_and-{F}(V1,V2,V3) | P_and-{T}(V2,V1,V3)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #143: exists( #22, #11 ), references = 22, size of lhs = 2:
% 267.03/267.30 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3) | P_xor-{T}(V2,V1,V3)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #145: exists( #19, #12 ), references = 31, size of lhs = 5:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_and_star-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_or-{F}(V2,V5,V6) | P_not-{T}(V6,V4)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #151: mergings( V3 == V4; #149 ), references = 21, size of lhs = 8:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_or-{F}(V2,V4,V5), P_not-{F}(V6,V7), P_or-{F}(V7,V8,V5), P_not-{F}(V9,V8), P_and-{F}(V6,V9,V10) | P_and_star-{T}(V1,V3,V10)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #178: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V14 == V15, V17 == V19, V18 == V20; #167 ), references = 1, size of lhs = 13:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_or-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_or-{F}(V4,V6,V7), P_not-{F}(V8,V7), P_xor-{F}(V8,V8,V9), V9 == V2, P_not-{F}(V10,V11), P_or-{F}(V11,V12,V7), P_not-{F}(V13,V12) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #190: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V13 == V14, V16 == V18, V17 == V19; #179 ), references = 1, size of lhs = 11:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_or-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_or-{F}(V4,V6,V7), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_or-{F}(V10,V11,V7), P_not-{F}(V12,V11) | P_xor-{T}(V8,V8,V2)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #226: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V19 == V20, V22 == V24, V25 == V30, V26 == V0, V23 == V30; #209 ), references = 15, size of lhs = 14:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_or-{F}(V0,V3,V2), P_not-{F}(V4,V5), P_not-{F}(V6,V7), P_or-{F}(V5,V7,V8), P_or-{F}(V8,V3,V9), P_not-{F}(V10,V9), P_not-{F}(V9,V11), P_or-{F}(V11,V8,V8), P_not-{F}(V12,V8), P_xor-{F}(V12,V10,V13) | P_and-{T}(V9,V12,V13)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #267: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V22 == V23, V24 == V25, V32 == V33, V34 == V36, V26 == V37; #248 ), references = 13, size of lhs = 22:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V2), P_or-{F}(V0,V4,V3), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_or-{F}(V7,V8,V8), P_or-{F}(V8,V4,V6), P_not-{F}(V9,V8), P_or-{F}(V8,V7,V10), P_or-{F}(V10,V1,V11), P_not-{F}(V11,V12), P_or-{F}(V10,V12,V13), P_implies-{F}(V13,V12,V14), P_not-{F}(V15,V16), P_or-{F}(V16,V17,V8), P_not-{F}(V18,V17), P_not-{F}(V19,V20), P_or-{F}(V20,V21,V10), P_not-{F}(V22,V21) | P_xor-{T}(V5,V9,V14)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #346: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V42 == V43, V43 == V44, V44 == V45, V45 == V48, V48 == V49, V49 == V51, V51 == V55, V55 == V56, V40 == V53, V54 == V56; #297 ), references = 1, size of lhs = 19:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V4,V0), P_not-{F}(V0,V4), P_xor-{F}(V0,V3,V5), P_not-{F}(V5,V0), P_y-{F}(V6), P_or-{F}(V6,V4,V6), P_or-{F}(V4,V6,V6), P_xor-{F}(V4,V0,V7), P_not-{F}(V7,V4), P_not-{F}(V8,V4), P_not-{F}(V9,V4), P_not-{F}(V10,V4) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #399: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V44 == V45, V45 == V46, V46 == V49, V49 == V51, V51 == V55, V42 == V53, V54 == V55; #350 ), references = 1, size of lhs = 16:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V0,V4), P_not-{F}(V4,V0), P_xor-{F}(V0,V3,V5), P_not-{F}(V5,V0), P_xor-{F}(V4,V0,V6), P_not-{F}(V6,V4), P_not-{F}(V7,V4), P_not-{F}(V8,V4), P_not-{F}(V9,V4) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #478: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V40, V40 == V38, V38 == V44, V44 == V45, V29 == V42, V43 == V45; #440 ), references = 1, size of lhs = 19:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_or-{F}(V3,V5,V3), P_not-{F}(V5,V0), P_not-{F}(V0,V5), P_or-{F}(V5,V3,V3), P_xor-{F}(V0,V4,V6), P_not-{F}(V6,V0), P_xor-{F}(V5,V0,V7), P_not-{F}(V7,V5), P_not-{F}(V8,V5), P_not-{F}(V9,V5), P_not-{F}(V10,V5) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #533: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V24 == V25, V25 == V26, V26 == V30, V30 == V31, V31 == V33, V33 == V36, V23 == V38, V34 == V38, V35 == V36; #502 ), references = 1, size of lhs = 19:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_falsehood-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V0), P_xor-{F}(V0,V3,V4), P_not-{F}(V4,V5), P_or-{F}(V5,V2,V2), P_or-{F}(V2,V5,V2), P_not-{F}(V5,V0), P_not-{F}(V0,V5), P_xor-{F}(V5,V0,V6), P_and_star-{F}(V6,V3,V5), P_not-{F}(V7,V0), P_not-{F}(V8,V5), P_not-{F}(V9,V5), P_not-{F}(V10,V5) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #558: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #550 ), references = 1, size of lhs = 8:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V6,V4,V7), P_or-{F}(V3,V1,V8), P_or-{F}(V8,V4,V0) | P_or-{T}(V1,V4,V7)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #568: mergings( V3 == V4; #565 ), references = 1, size of lhs = 8:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_and_star-{F}(V4,V1,V6), P_not-{F}(V7,V5), P_and-{F}(V3,V7,V8), V6 == V8 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #571: mergings( V3 == V4, V0 == V1; #566 ), references = 1, size of lhs = 7:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_and-{F}(V1,V3,V4), P_not-{F}(V4,V2), P_and_star-{F}(V4,V4,V5), V5 == V4 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #575: mergings( V3 == V4; #572 ), references = 12, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_and-{F}(V3,V6,V7) | P_and_star-{T}(V4,V1,V7)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #591: mergings( V3 == V4, V4 == V5, V5 == V6; #586 ), references = 1, size of lhs = 11:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V6,V3,V7), P_not-{F}(V5,V8), P_and_star-{F}(V1,V4,V9), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V7,V11), V11 == V0 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #595: mergings( V3 == V4, V4 == V5, V5 == V6; #587 ), references = 1, size of lhs = 12:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V3,V7,V8), P_implies-{F}(V8,V7,V9), P_and_star-{F}(V5,V4,V9), P_implies-{F}(V9,V2,V10), P_implies-{F}(V10,V2,V11), V11 == V0 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #608: mergings( V3 == V4, V4 == V5; #604 ), references = 1, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V4), P_and_star-{F}(V3,V5,V2), P_not-{F}(V5,V6) | P_or-{T}(V4,V6,V0)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #612: mergings( V3 == V4, V4 == V5, V5 == V6; #605 ), references = 1, size of lhs = 6:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V3,V2,V2), P_and_star-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_implies-{F}(V5,V3,V7) | P_or-{T}(V2,V6,V7)
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #686: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V28, V29 == V30, V30 == V31, V31 == V32, V32 == V42, V42 == V43, V43 == V46, V57 == V59, V41 == V45; #653 ), references = 3, size of lhs = 42:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_xor-{F}(V0,V3,V5), P_y-{F}(V6), P_and_star-{F}(V5,V6,V7), P_xor-{F}(V7,V0,V8), P_and_star-{F}(V8,V6,V9), P_xor-{F}(V0,V6,V10), P_and_star-{F}(V10,V3,V11), P_implies-{F}(V11,V11,V0), P_or-{F}(V0,V12,V0), P_not-{F}(V0,V13), P_or-{F}(V11,V13,V11), P_or-{F}(V13,V11,V11), P_not-{F}(V13,V0), P_not-{F}(V14,V4), P_and_star-{F}(V15,V14,V11), P_not-{F}(V15,V16), P_or-{F}(V13,V16,V16), P_not-{F}(V16,V17), P_implies-{F}(V4,V17,V18), P_implies-{F}(V18,V17,V19), P_not-{F}(V19,V9), P_or-{F}(V12,V16,V20), P_or-{F}(V20,V4,V21), P_or-{F}(V0,V21,V22), P_not-{F}(V22,V23), P_not-{F}(V23,V0), P_or-{F}(V0,V16,V24), P_or-{F}(V24,V4,V0), P_or-{F}(V25,V11,V11), P_not-{F}(V26,V25), P_or-{F}(V27,V11,V11), P_not-{F}(V28,V27), P_or-{F}(V29,V11,V11), P_not-{F}(V30,V29), P_or-{F}(V31,V11,V11), P_not-{F}(V32,V31) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #726: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V33 == V34, V34 == V45, V37 == V48, V44 == V49, V45 == V47; #692 ), references = 3, size of lhs = 34:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_xor-{F}(V0,V3,V4), P_y-{F}(V5), P_and_star-{F}(V4,V5,V6), P_xor-{F}(V6,V0,V7), P_and_star-{F}(V7,V5,V8), P_xor-{F}(V0,V5,V9), P_or-{F}(V0,V10,V0), P_not-{F}(V0,V11), P_not-{F}(V11,V0), P_not-{F}(V3,V12), P_not-{F}(V13,V12), P_not-{F}(V9,V14), P_or-{F}(V11,V14,V14), P_not-{F}(V15,V14), P_not-{F}(V14,V16), P_implies-{F}(V12,V16,V17), P_implies-{F}(V17,V16,V18), P_not-{F}(V18,V8), P_or-{F}(V10,V14,V19), P_or-{F}(V19,V12,V20), P_or-{F}(V0,V20,V21), P_not-{F}(V21,V22), P_not-{F}(V22,V0), P_or-{F}(V0,V14,V23), P_or-{F}(V23,V12,V0), P_not-{F}(V24,V11), P_not-{F}(V25,V11), P_not-{F}(V26,V11), P_not-{F}(V27,V11) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #744: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #739 ), references = 2, size of lhs = 10:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_and_star-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_or-{F}(V6,V2,V7), P_or-{F}(V7,V5,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V6,V4,V10), P_implies-{F}(V10,V4,V11), V9 == V11 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #889: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V26 == V28, V28 == V40, V27 == V24, V32 == V46, V34 == V35, V35 == V47, V24 == V51, V40 == V52, V51 == V53, V52 == V54; #855 ), references = 1, size of lhs = 31:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_xor-{F}(V0,V3,V4), P_y-{F}(V5), P_xor-{F}(V0,V5,V6), P_and_star-{F}(V6,V3,V7), P_xor-{F}(V7,V0,V8), P_and_star-{F}(V8,V3,V9), P_or-{F}(V0,V10,V0), P_not-{F}(V4,V11), P_not-{F}(V12,V11), P_not-{F}(V5,V13), P_not-{F}(V14,V13), P_or-{F}(V11,V13,V15), P_implies-{F}(V15,V13,V16), P_not-{F}(V16,V9), P_or-{F}(V15,V10,V17), P_or-{F}(V0,V17,V0), P_not-{F}(V0,V18), P_or-{F}(V15,V18,V15), P_not-{F}(V18,V0), P_not-{F}(V19,V18), P_not-{F}(V20,V18), P_not-{F}(V21,V18), P_not-{F}(V22,V18), P_or-{F}(V0,V15,V23), P_not-{F}(V23,V24), P_or-{F}(V24,V15,V15) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #921: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V26 == V38, V27 == V24, V32 == V62, V34 == V35, V35 == V63, V38 == V56, V24 == V67, V56 == V68, V67 == V69, V68 == V70; #856 ), references = 2, size of lhs = 50:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_implies-{F}(V9,V13,V14), P_implies-{F}(V14,V13,V15), P_not-{F}(V15,V16), P_or-{F}(V8,V11,V17), P_or-{F}(V17,V9,V18), P_or-{F}(V0,V18,V19), P_not-{F}(V19,V20), P_not-{F}(V20,V0), P_or-{F}(V0,V11,V21), P_or-{F}(V21,V9,V0), P_or-{F}(V0,V22,V0), P_not-{F}(V5,V23), P_not-{F}(V24,V23), P_not-{F}(V6,V25), P_not-{F}(V26,V25), P_or-{F}(V23,V25,V27), P_implies-{F}(V27,V25,V28), P_not-{F}(V28,V16), P_or-{F}(V27,V22,V29), P_or-{F}(V0,V29,V0), P_not-{F}(V0,V30), P_or-{F}(V30,V11,V11), P_or-{F}(V27,V30,V27), P_not-{F}(V30,V0), P_not-{F}(V31,V30), P_not-{F}(V32,V30), P_not-{F}(V33,V30), P_not-{F}(V34,V30), P_not-{F}(V35,V30), P_not-{F}(V36,V30), P_not-{F}(V37,V30), P_not-{F}(V38,V30), P_or-{F}(V0,V27,V39), P_not-{F}(V39,V40), P_or-{F}(V40,V27,V27) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #953: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V26 == V40, V27 == V24, V33 == V59, V35 == V36, V36 == V60, V40 == V53, V24 == V64, V53 == V65, V64 == V66, V65 == V67; #857 ), references = 1, size of lhs = 58:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_not-{F}(V4,V5), P_xor-{F}(V0,V4,V6), P_y-{F}(V7), P_xor-{F}(V0,V7,V8), P_and_star-{F}(V8,V4,V9), P_implies-{F}(V9,V9,V0), P_or-{F}(V0,V10,V0), P_not-{F}(V11,V5), P_and_star-{F}(V12,V11,V9), P_not-{F}(V12,V13), P_not-{F}(V13,V14), P_implies-{F}(V5,V14,V15), P_implies-{F}(V15,V14,V16), P_not-{F}(V16,V17), P_or-{F}(V10,V13,V18), P_or-{F}(V18,V5,V19), P_or-{F}(V0,V19,V20), P_not-{F}(V20,V21), P_not-{F}(V21,V0), P_or-{F}(V0,V13,V22), P_or-{F}(V22,V5,V0), P_or-{F}(V0,V23,V0), P_not-{F}(V6,V24), P_not-{F}(V25,V24), P_not-{F}(V7,V26), P_not-{F}(V27,V26), P_or-{F}(V24,V26,V28), P_implies-{F}(V28,V26,V29), P_not-{F}(V29,V17), P_or-{F}(V28,V23,V30), P_or-{F}(V0,V30,V0), P_not-{F}(V0,V31), P_or-{F}(V9,V31,V9), P_or-{F}(V31,V9,V9), P_or-{F}(V31,V13,V13), P_or-{F}(V28,V31,V28), P_not-{F}(V31,V0), P_not-{F}(V32,V31), P_not-{F}(V33,V31), P_not-{F}(V34,V31), P_not-{F}(V35,V31), P_or-{F}(V0,V28,V36), P_not-{F}(V36,V37), P_or-{F}(V37,V28,V28), P_or-{F}(V38,V9,V9), P_not-{F}(V39,V38), P_or-{F}(V40,V9,V9), P_not-{F}(V41,V40), P_or-{F}(V42,V9,V9), P_not-{F}(V43,V42), P_or-{F}(V44,V9,V9), P_not-{F}(V45,V44) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1002: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V13 == V0; #990 ), references = 1, size of lhs = 11:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V4,V2), P_implies-{F}(V4,V3,V2), P_not-{F}(V3,V5), P_not-{F}(V4,V6), P_implies-{F}(V1,V5,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V1,V6,V9), P_implies-{F}(V9,V6,V10), V8 == V10 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1011: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #991 ), references = 1, size of lhs = 13:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V4,V2), P_implies-{F}(V4,V3,V5), P_not-{F}(V4,V6), P_not-{F}(V3,V7), P_not-{F}(V8,V5), P_implies-{F}(V9,V1,V8), P_implies-{F}(V9,V6,V10), P_implies-{F}(V8,V7,V11), P_implies-{F}(V11,V7,V12), P_implies-{F}(V10,V12,V13), V13 == V0 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1021: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V15 == V0; #992 ), references = 1, size of lhs = 15:
% 267.03/267.30 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V1,V3,V5), P_implies-{F}(V3,V1,V5), P_not-{F}(V6,V5), P_implies-{F}(V6,V2,V7), P_implies-{F}(V7,V2,V8), P_not-{F}(V9,V10), P_or-{F}(V4,V10,V11), P_and_star-{F}(V9,V12,V6), P_not-{F}(V12,V13), P_or-{F}(V11,V13,V14), P_implies-{F}(V14,V4,V15), V15 == V8 | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1103: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V13 == V38, V16 == V36, V36 == V41, V38 == V40; #1092 ), references = 1, size of lhs = 39:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_xor-{F}(V0,V3,V4), P_y-{F}(V5), P_not-{F}(V5,V6), P_and_star-{F}(V4,V5,V7), P_xor-{F}(V7,V0,V8), P_not-{F}(V8,V9), P_xor-{F}(V0,V5,V10), P_or-{F}(V0,V11,V0), P_not-{F}(V0,V12), P_not-{F}(V12,V0), P_not-{F}(V3,V13), P_not-{F}(V14,V13), P_not-{F}(V10,V15), P_or-{F}(V12,V15,V15), P_not-{F}(V16,V15), P_not-{F}(V15,V17), P_implies-{F}(V13,V17,V18), P_implies-{F}(V18,V17,V19), P_or-{F}(V6,V9,V19), P_or-{F}(V11,V15,V20), P_or-{F}(V20,V13,V21), P_or-{F}(V0,V21,V22), P_not-{F}(V22,V23), P_not-{F}(V23,V0), P_or-{F}(V0,V15,V24), P_or-{F}(V24,V13,V0), P_not-{F}(V25,V12), P_not-{F}(V26,V12), P_not-{F}(V27,V12), P_not-{F}(V28,V12), P_not-{F}(V29,V9), P_not-{F}(V30,V6), P_not-{F}(V31,V6), P_not-{F}(V32,V9) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1109: mergings( V3 == V4, V4 == V5, V5 == V6, V46 == V47, V48 == V50; #1093 ), references = 1, size of lhs = 53:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_implies-{F}(V9,V13,V14), P_implies-{F}(V14,V13,V15), P_or-{F}(V8,V11,V16), P_or-{F}(V16,V9,V17), P_or-{F}(V0,V17,V18), P_not-{F}(V18,V19), P_not-{F}(V19,V0), P_or-{F}(V0,V11,V20), P_or-{F}(V20,V9,V0), P_or-{F}(V0,V21,V0), P_not-{F}(V5,V22), P_not-{F}(V23,V22), P_not-{F}(V6,V24), P_not-{F}(V25,V24), P_or-{F}(V22,V24,V26), P_implies-{F}(V26,V24,V15), P_or-{F}(V26,V21,V27), P_or-{F}(V0,V27,V0), P_not-{F}(V0,V28), P_or-{F}(V28,V11,V11), P_or-{F}(V26,V28,V26), P_not-{F}(V28,V0), P_not-{F}(V29,V28), P_not-{F}(V30,V28), P_not-{F}(V31,V28), P_not-{F}(V32,V28), P_not-{F}(V33,V28), P_not-{F}(V34,V28), P_not-{F}(V35,V28), P_not-{F}(V36,V28), P_or-{F}(V0,V26,V37), P_not-{F}(V37,V38), P_or-{F}(V38,V26,V26), P_not-{F}(V39,V40), P_not-{F}(V41,V40), P_or-{F}(V42,V40,V15), P_not-{F}(V43,V42), P_not-{F}(V44,V42) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1118: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V14 == V43, V17 == V41, V41 == V46, V43 == V45; #1094 ), references = 1, size of lhs = 47:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_xor-{F}(V0,V3,V5), P_y-{F}(V6), P_not-{F}(V6,V7), P_and_star-{F}(V5,V6,V8), P_xor-{F}(V8,V0,V9), P_not-{F}(V9,V10), P_xor-{F}(V0,V6,V11), P_and_star-{F}(V11,V3,V12), P_implies-{F}(V12,V12,V0), P_or-{F}(V0,V13,V0), P_not-{F}(V0,V14), P_or-{F}(V12,V14,V12), P_or-{F}(V14,V12,V12), P_not-{F}(V14,V0), P_not-{F}(V15,V4), P_and_star-{F}(V16,V15,V12), P_not-{F}(V16,V17), P_or-{F}(V14,V17,V17), P_not-{F}(V17,V18), P_implies-{F}(V4,V18,V19), P_implies-{F}(V19,V18,V20), P_or-{F}(V7,V10,V20), P_or-{F}(V13,V17,V21), P_or-{F}(V21,V4,V22), P_or-{F}(V0,V22,V23), P_not-{F}(V23,V24), P_not-{F}(V24,V0), P_or-{F}(V0,V17,V25), P_or-{F}(V25,V4,V0), P_not-{F}(V26,V10), P_not-{F}(V27,V7), P_not-{F}(V28,V7), P_not-{F}(V29,V10), P_or-{F}(V30,V12,V12), P_not-{F}(V31,V30), P_or-{F}(V32,V12,V12), P_not-{F}(V33,V32), P_or-{F}(V34,V12,V12), P_not-{F}(V35,V34), P_or-{F}(V36,V12,V12), P_not-{F}(V37,V36) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1138: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V15 == V39, V19 == V37, V37 == V41, V39 == V1; #1125 ), references = 1, size of lhs = 38:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_xor-{F}(V0,V3,V4), P_y-{F}(V5), P_not-{F}(V5,V6), P_and_star-{F}(V4,V5,V7), P_xor-{F}(V7,V0,V8), P_not-{F}(V8,V9), P_xor-{F}(V0,V5,V10), P_or-{F}(V0,V11,V0), P_not-{F}(V0,V12), P_not-{F}(V12,V0), P_not-{F}(V3,V13), P_not-{F}(V14,V13), P_not-{F}(V10,V15), P_or-{F}(V12,V15,V15), P_not-{F}(V15,V6), P_not-{F}(V16,V15), P_implies-{F}(V13,V6,V17), P_not-{F}(V9,V17), P_or-{F}(V11,V15,V18), P_or-{F}(V18,V13,V19), P_or-{F}(V0,V19,V20), P_not-{F}(V20,V21), P_not-{F}(V21,V0), P_or-{F}(V0,V15,V22), P_or-{F}(V22,V13,V0), P_not-{F}(V23,V12), P_not-{F}(V24,V12), P_not-{F}(V25,V12), P_not-{F}(V26,V12), P_not-{F}(V27,V9), P_not-{F}(V28,V6), P_not-{F}(V29,V6), P_not-{F}(V30,V9) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1146: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V1 == V47, V45 == V43; #1126 ), references = 1, size of lhs = 51:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_not-{F}(V6,V13), P_implies-{F}(V9,V13,V14), P_or-{F}(V8,V11,V15), P_or-{F}(V15,V9,V16), P_or-{F}(V0,V16,V17), P_not-{F}(V17,V18), P_not-{F}(V18,V0), P_or-{F}(V0,V11,V19), P_or-{F}(V19,V9,V0), P_or-{F}(V0,V20,V0), P_not-{F}(V5,V21), P_or-{F}(V21,V13,V14), P_not-{F}(V22,V21), P_not-{F}(V23,V13), P_or-{F}(V14,V20,V24), P_or-{F}(V0,V24,V0), P_not-{F}(V0,V25), P_or-{F}(V25,V11,V11), P_or-{F}(V14,V25,V14), P_not-{F}(V25,V0), P_not-{F}(V26,V25), P_not-{F}(V27,V25), P_not-{F}(V28,V25), P_not-{F}(V29,V25), P_not-{F}(V30,V25), P_not-{F}(V31,V25), P_not-{F}(V32,V25), P_not-{F}(V33,V25), P_or-{F}(V0,V14,V34), P_not-{F}(V34,V35), P_or-{F}(V35,V14,V14), P_not-{F}(V36,V13), P_not-{F}(V37,V13), P_not-{F}(V38,V14), P_not-{F}(V39,V38), P_not-{F}(V40,V38) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1157: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V16 == V36, V20 == V34, V34 == V38, V36 == V1; #1127 ), references = 1, size of lhs = 46:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_xor-{F}(V0,V3,V5), P_y-{F}(V6), P_not-{F}(V6,V7), P_and_star-{F}(V5,V6,V8), P_xor-{F}(V8,V0,V9), P_not-{F}(V9,V10), P_xor-{F}(V0,V6,V11), P_and_star-{F}(V11,V3,V12), P_implies-{F}(V12,V12,V0), P_or-{F}(V0,V13,V0), P_not-{F}(V0,V14), P_or-{F}(V12,V14,V12), P_or-{F}(V14,V12,V12), P_not-{F}(V14,V0), P_not-{F}(V15,V4), P_and_star-{F}(V16,V15,V12), P_not-{F}(V16,V17), P_or-{F}(V14,V17,V17), P_not-{F}(V17,V7), P_implies-{F}(V4,V7,V18), P_not-{F}(V10,V18), P_or-{F}(V13,V17,V19), P_or-{F}(V19,V4,V20), P_or-{F}(V0,V20,V21), P_not-{F}(V21,V22), P_not-{F}(V22,V0), P_or-{F}(V0,V17,V23), P_or-{F}(V23,V4,V0), P_not-{F}(V24,V10), P_not-{F}(V25,V7), P_not-{F}(V26,V7), P_not-{F}(V27,V10), P_or-{F}(V28,V12,V12), P_not-{F}(V29,V28), P_or-{F}(V30,V12,V12), P_not-{F}(V31,V30), P_or-{F}(V32,V12,V12), P_not-{F}(V33,V32), P_or-{F}(V34,V12,V12), P_not-{F}(V35,V34) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1251: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V30 == V43, V31 == V28, V36 == V74, V38 == V39, V39 == V75, V75 == V64, V43 == V52, V64 == V48, V28 == V50, V51 == V52, V50 == V53, V52 == V54; #1211 ), references = 1, size of lhs = 49:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_not-{F}(V6,V13), P_not-{F}(V14,V13), P_implies-{F}(V9,V13,V15), P_or-{F}(V0,V15,V0), P_not-{F}(V0,V16), P_or-{F}(V16,V11,V11), P_or-{F}(V15,V16,V15), P_not-{F}(V16,V0), P_or-{F}(V16,V15,V15), P_or-{F}(V8,V11,V17), P_or-{F}(V17,V9,V18), P_or-{F}(V0,V18,V19), P_not-{F}(V19,V20), P_not-{F}(V20,V0), P_or-{F}(V0,V11,V21), P_or-{F}(V21,V9,V0), P_not-{F}(V22,V16), P_not-{F}(V23,V16), P_not-{F}(V24,V16), P_not-{F}(V25,V16), P_not-{F}(V26,V13), P_not-{F}(V27,V13), P_or-{F}(V0,V28,V0), P_or-{F}(V15,V28,V29), P_or-{F}(V0,V29,V30), P_not-{F}(V30,V31), P_not-{F}(V31,V0), P_not-{F}(V32,V16), P_not-{F}(V33,V16), P_not-{F}(V34,V16), P_not-{F}(V35,V16), P_not-{F}(V5,V36), P_or-{F}(V36,V13,V15), P_not-{F}(V37,V36) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1279: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V48 == V62, V36 == V60, V23 == V68, V77 == V78, V79 == V81, V68 == V71, V62 == V72; #1212 ), references = 1, size of lhs = 65:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_not-{F}(V6,V13), P_implies-{F}(V9,V13,V14), P_or-{F}(V8,V11,V15), P_or-{F}(V15,V9,V16), P_or-{F}(V0,V16,V17), P_not-{F}(V17,V18), P_not-{F}(V18,V0), P_or-{F}(V0,V11,V19), P_or-{F}(V19,V9,V0), P_or-{F}(V0,V20,V0), P_not-{F}(V5,V21), P_or-{F}(V21,V13,V14), P_not-{F}(V22,V21), P_not-{F}(V23,V13), P_or-{F}(V14,V20,V24), P_or-{F}(V0,V24,V0), P_or-{F}(V0,V14,V25), P_not-{F}(V25,V26), P_or-{F}(V26,V14,V14), P_not-{F}(V27,V13), P_not-{F}(V28,V13), P_not-{F}(V29,V0), P_or-{F}(V0,V30,V0), P_not-{F}(V0,V31), P_or-{F}(V31,V11,V11), P_or-{F}(V14,V31,V14), P_not-{F}(V31,V0), P_not-{F}(V32,V31), P_not-{F}(V33,V31), P_not-{F}(V34,V31), P_not-{F}(V35,V31), P_not-{F}(V36,V31), P_not-{F}(V37,V31), P_not-{F}(V38,V31), P_not-{F}(V39,V31), P_not-{F}(V40,V31), P_not-{F}(V41,V31), P_not-{F}(V42,V31), P_not-{F}(V43,V31), P_or-{F}(V44,V31,V14), P_or-{F}(V0,V44,V0), P_or-{F}(V44,V30,V45), P_or-{F}(V0,V45,V46), P_not-{F}(V46,V47), P_not-{F}(V47,V0), P_not-{F}(V48,V49), P_not-{F}(V50,V49), P_or-{F}(V51,V49,V44), P_not-{F}(V52,V51), P_not-{F}(V53,V51) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1326: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V49 == V67, V1 == V59, V28 == V66, V59 == V74, V0 == V77, V66 == V69, V67 == V70; #1293 ), references = 2, size of lhs = 56:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_not-{F}(V6,V13), P_or-{F}(V8,V11,V14), P_or-{F}(V14,V9,V15), P_or-{F}(V0,V15,V16), P_not-{F}(V16,V17), P_not-{F}(V17,V0), P_or-{F}(V0,V11,V18), P_or-{F}(V18,V9,V0), P_not-{F}(V5,V19), P_not-{F}(V19,V9), P_not-{F}(V20,V19), P_not-{F}(V21,V13), P_not-{F}(V22,V13), P_not-{F}(V23,V13), P_not-{F}(V24,V0), P_or-{F}(V0,V25,V0), P_or-{F}(V25,V19,V26), P_or-{F}(V26,V13,V27), P_or-{F}(V0,V27,V0), P_not-{F}(V0,V28), P_or-{F}(V28,V11,V11), P_or-{F}(V28,V19,V19), P_not-{F}(V28,V0), P_not-{F}(V29,V28), P_not-{F}(V30,V28), P_not-{F}(V31,V28), P_not-{F}(V32,V28), P_not-{F}(V33,V28), P_not-{F}(V34,V28), P_not-{F}(V35,V28), P_not-{F}(V36,V28), P_not-{F}(V37,V28), P_not-{F}(V38,V28), P_not-{F}(V39,V28), P_not-{F}(V40,V28), P_or-{F}(V0,V19,V41), P_or-{F}(V41,V13,V0), P_not-{F}(V42,V13), P_not-{F}(V43,V13), P_not-{F}(V44,V19), P_not-{F}(V45,V19) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1365: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V36 == V50, V41 == V0, V44 == V46, V46 == V1, V1 == V66, V50 == V55, V55 == V56; #1292 ), references = 2, size of lhs = 49:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_xor-{F}(V0,V6,V7), P_or-{F}(V0,V8,V0), P_not-{F}(V4,V9), P_not-{F}(V10,V9), P_not-{F}(V7,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_not-{F}(V6,V13), P_not-{F}(V14,V13), P_not-{F}(V0,V15), P_or-{F}(V15,V11,V11), P_not-{F}(V15,V0), P_or-{F}(V8,V11,V16), P_or-{F}(V16,V9,V17), P_or-{F}(V0,V17,V18), P_not-{F}(V18,V19), P_not-{F}(V19,V0), P_or-{F}(V0,V11,V20), P_or-{F}(V20,V9,V0), P_not-{F}(V21,V15), P_not-{F}(V22,V15), P_not-{F}(V23,V15), P_not-{F}(V24,V15), P_not-{F}(V25,V13), P_not-{F}(V26,V13), P_or-{F}(V0,V27,V0), P_not-{F}(V28,V15), P_not-{F}(V29,V15), P_not-{F}(V30,V15), P_not-{F}(V31,V15), P_not-{F}(V5,V32), P_not-{F}(V32,V9), P_or-{F}(V15,V32,V32), P_not-{F}(V33,V32), P_or-{F}(V27,V32,V34), P_or-{F}(V34,V13,V35), P_or-{F}(V0,V35,V36), P_not-{F}(V36,V37), P_not-{F}(V37,V0), P_or-{F}(V0,V32,V38), P_or-{F}(V38,V13,V0) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1488: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V23 == V24, V24 == V32, V32 == V51, V22 == V44, V45 == V51, V44 == V52, V52 == V46, V47 == V51, V46 == V48, V49 == V51, V48 == V53, V51 == V54; #1454 ), references = 2, size of lhs = 36:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_not-{F}(V4,V7), P_or-{F}(V0,V7,V0), P_not-{F}(V8,V7), P_or-{F}(V0,V9,V0), P_not-{F}(V5,V10), P_not-{F}(V10,V7), P_or-{F}(V9,V10,V0), P_or-{F}(V0,V10,V0), P_not-{F}(V11,V10), P_not-{F}(V12,V0), P_not-{F}(V0,V13), P_or-{F}(V13,V6,V6), P_or-{F}(V13,V10,V10), P_or-{F}(V6,V13,V6), P_not-{F}(V13,V0), P_not-{F}(V14,V13), P_not-{F}(V15,V13), P_not-{F}(V16,V13), P_not-{F}(V17,V13), P_not-{F}(V18,V13), P_not-{F}(V19,V13), P_not-{F}(V20,V13), P_not-{F}(V21,V13), P_not-{F}(V22,V13), P_not-{F}(V23,V13), P_not-{F}(V24,V13), P_not-{F}(V25,V13) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1519: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V23 == V24, V24 == V36, V36 == V56, V22 == V51, V52 == V56, V51 == V57, V57 == V53, V54 == V56, V53 == V58, V56 == V59; #1455 ), references = 2, size of lhs = 43:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_xor-{F}(V0,V4,V5), P_y-{F}(V6), P_not-{F}(V4,V7), P_or-{F}(V0,V7,V0), P_not-{F}(V8,V7), P_not-{F}(V5,V9), P_not-{F}(V9,V7), P_or-{F}(V0,V9,V0), P_not-{F}(V10,V9), P_not-{F}(V11,V0), P_or-{F}(V0,V12,V0), P_or-{F}(V12,V9,V0), P_not-{F}(V13,V9), P_not-{F}(V14,V9), P_not-{F}(V15,V0), P_not-{F}(V0,V16), P_or-{F}(V16,V9,V9), P_or-{F}(V16,V6,V6), P_or-{F}(V6,V16,V6), P_not-{F}(V16,V0), P_not-{F}(V17,V16), P_not-{F}(V18,V16), P_not-{F}(V19,V16), P_not-{F}(V20,V16), P_not-{F}(V21,V16), P_not-{F}(V22,V16), P_not-{F}(V23,V16), P_not-{F}(V24,V16), P_not-{F}(V25,V16), P_not-{F}(V26,V16), P_not-{F}(V27,V16), P_not-{F}(V28,V16), P_not-{F}(V29,V16), P_not-{F}(V30,V16), P_not-{F}(V31,V16), P_not-{F}(V32,V16) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1608: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V22 == V23, V23 == V29, V29 == V47, V21 == V42, V43 == V47, V42 == V44, V45 == V47; #1580 ), references = 1, size of lhs = 32:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_y-{F}(V5), P_not-{F}(V6,V0), P_not-{F}(V7,V0), P_not-{F}(V0,V8), P_or-{F}(V8,V5,V5), P_or-{F}(V5,V8,V5), P_or-{F}(V8,V4,V4), P_not-{F}(V8,V0), P_or-{F}(V4,V8,V4), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_not-{F}(V11,V8), P_not-{F}(V12,V8), P_not-{F}(V13,V8), P_not-{F}(V14,V8), P_not-{F}(V15,V8), P_not-{F}(V16,V8), P_not-{F}(V17,V8), P_not-{F}(V18,V8), P_not-{F}(V19,V8), P_not-{F}(V20,V8), P_not-{F}(V21,V8), P_not-{F}(V22,V8), P_not-{F}(V23,V8), P_not-{F}(V24,V8) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1635: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V22 == V23, V23 == V30, V30 == V52, V21 == V47, V48 == V52, V47 == V49, V50 == V52; #1581 ), references = 1, size of lhs = 37:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_y-{F}(V5), P_not-{F}(V6,V0), P_not-{F}(V7,V0), P_not-{F}(V8,V0), P_not-{F}(V0,V9), P_or-{F}(V9,V5,V5), P_or-{F}(V5,V9,V5), P_or-{F}(V9,V4,V4), P_not-{F}(V9,V0), P_or-{F}(V4,V9,V4), P_not-{F}(V10,V9), P_not-{F}(V11,V9), P_not-{F}(V12,V9), P_not-{F}(V13,V9), P_not-{F}(V14,V9), P_not-{F}(V15,V9), P_not-{F}(V16,V9), P_not-{F}(V17,V9), P_not-{F}(V18,V9), P_not-{F}(V19,V9), P_not-{F}(V20,V9), P_not-{F}(V21,V9), P_not-{F}(V22,V9), P_not-{F}(V23,V9), P_not-{F}(V24,V9), P_not-{F}(V25,V9), P_not-{F}(V26,V9), P_not-{F}(V27,V9), P_not-{F}(V28,V9), P_not-{F}(V29,V9) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1673: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V24 == V25, V25 == V31, V31 == V49, V23 == V44, V45 == V49, V44 == V46, V47 == V49; #1642 ), references = 1, size of lhs = 29:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_not-{F}(V5,V0), P_not-{F}(V6,V0), P_not-{F}(V0,V7), P_or-{F}(V7,V4,V4), P_not-{F}(V7,V0), P_or-{F}(V4,V7,V4), P_not-{F}(V8,V7), P_not-{F}(V9,V7), P_not-{F}(V10,V7), P_not-{F}(V11,V7), P_not-{F}(V12,V7), P_not-{F}(V13,V7), P_not-{F}(V14,V7), P_not-{F}(V15,V7), P_not-{F}(V16,V7), P_not-{F}(V17,V7), P_not-{F}(V18,V7), P_not-{F}(V19,V7), P_not-{F}(V20,V7), P_not-{F}(V21,V7), P_not-{F}(V22,V7), P_not-{F}(V23,V7) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1703: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V24 == V25, V25 == V32, V32 == V54, V23 == V49, V50 == V54, V49 == V51, V52 == V54; #1643 ), references = 1, size of lhs = 34:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_x-{F}(V4), P_not-{F}(V5,V0), P_not-{F}(V6,V0), P_not-{F}(V7,V0), P_not-{F}(V0,V8), P_or-{F}(V8,V4,V4), P_not-{F}(V8,V0), P_or-{F}(V4,V8,V4), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_not-{F}(V11,V8), P_not-{F}(V12,V8), P_not-{F}(V13,V8), P_not-{F}(V14,V8), P_not-{F}(V15,V8), P_not-{F}(V16,V8), P_not-{F}(V17,V8), P_not-{F}(V18,V8), P_not-{F}(V19,V8), P_not-{F}(V20,V8), P_not-{F}(V21,V8), P_not-{F}(V22,V8), P_not-{F}(V23,V8), P_not-{F}(V24,V8), P_not-{F}(V25,V8), P_not-{F}(V26,V8), P_not-{F}(V27,V8), P_not-{F}(V28,V8) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1742: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V27 == V37, V26 == V32, V33 == V37, V32 == V34, V35 == V37; #1710 ), references = 2, size of lhs = 26:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_not-{F}(V4,V0), P_not-{F}(V5,V0), P_not-{F}(V0,V6), P_not-{F}(V6,V0), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V6), P_not-{F}(V10,V6), P_not-{F}(V11,V6), P_not-{F}(V12,V6), P_not-{F}(V13,V6), P_not-{F}(V14,V6), P_not-{F}(V15,V6), P_not-{F}(V16,V6), P_not-{F}(V17,V6), P_not-{F}(V18,V6), P_not-{F}(V19,V6), P_not-{F}(V20,V6), P_not-{F}(V21,V6), P_not-{F}(V22,V6) | FALSE
% 267.03/267.30 (used 0 times, uses = {})
% 267.03/267.30
% 267.03/267.30 #1773: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V27 == V38, V26 == V33, V34 == V38, V33 == V35, V36 == V38; #1711 ), references = 1, size of lhs = 31:
% 267.03/267.30 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_falsehood-{F}(V3), P_not-{F}(V4,V0), P_not-{F}(V5,V0), P_not-{F}(V6,V0), P_not-{F}(V0,V7), P_not-{F}(V7,V0), P_not-{F}(V8,V7), P_not-{F}(V9,V7), P_not-{F}(V10,V7), P_not-{F}(V11,V7), P_not-{F}(V12,V7), P_not-{F}(V13,V7), P_not-{F}(V14,V7), P_not-{F}(V15,V7), P_not-{F}(V16,V7), P_not-{F}(V17,V7), P_not-{F}(V18,V7), P_not-{F}(V19,V7), P_not-{F}(V20,V7), P_not-{F}(V21,V7), P_not-{F}(V22,V7), P_not-{F}(V23,V7), P_not-{F}(V24,V7), P_not-{F}(V25,V7), P_not-{F}(V26,V7), P_not-{F}(V27,V7) | FALSE
% 267.03/267.31 (used 0 times, uses = {})
% 267.03/267.31
% 267.03/267.31 #1805: mergings( V1 == V2, V2 == V3, V3 == V4; #1800 ), references = 1, size of lhs = 2:
% 267.03/267.31 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 267.03/267.31 (used 0 times, uses = {})
% 267.03/267.31
% 267.03/267.31 #1810: exists( #18, #1806 ), references = 1, size of lhs = 0:
% 267.03/267.31 FALSE | FALSE
% 267.03/267.31 (used 0 times, uses = {})
% 267.03/267.31
% 267.03/267.31 number of learnt formulas = 65
% 267.03/267.31
% 267.03/267.31
% 267.03/267.31 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 267.03/267.31
% 267.03/267.31 randbase = 1
%------------------------------------------------------------------------------