TSTP Solution File: LCL159-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:08:51 EDT 2022
% Result : Unsatisfiable 8.47s 8.68s
% Output : Refutation 8.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 21:10:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.47/8.68 GeoParameters:
% 8.47/8.68
% 8.47/8.68 tptp_input = 1
% 8.47/8.68 tptp_output = 0
% 8.47/8.68 nonempty = 1
% 8.47/8.68 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.47/8.68 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.47/8.68
% 8.47/8.68
% 8.47/8.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.47/8.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.47/8.68
% 8.47/8.68 RuleSystem INPUT:
% 8.47/8.68
% 8.47/8.68 Initial Rules:
% 8.47/8.68 #0: input, references = 4, size of lhs = 3:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #1: input, references = 5, size of lhs = 7:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #2: input, references = 6, size of lhs = 6:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #3: input, references = 5, size of lhs = 7:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #4: input, references = 7, size of lhs = 5:
% 8.47/8.68 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V4,V2,V5), V3 == V5 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #5: input, references = 4, size of lhs = 6:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #6: input, references = 4, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_or-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #7: input, references = 5, size of lhs = 7:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #8: input, references = 4, size of lhs = 6:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #9: input, references = 4, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_and-{F}(V1,V2,V3), P_and-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #10: input, references = 5, size of lhs = 8:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #11: input, references = 4, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3), P_xor-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #12: input, references = 5, size of lhs = 7:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #13: input, references = 4, size of lhs = 6:
% 8.47/8.68 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
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #14: input, references = 4, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3), P_and_star-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #15: input, references = 4, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), V1 == V2 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #16: input, references = 8, size of lhs = 9:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V3,V5,V8), P_xor-{F}(V3,V0,V7), P_xor-{F}(V7,V4,V8) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #17: input, references = 11, size of lhs = 2:
% 8.47/8.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #18: input, references = 4, size of lhs = 0:
% 8.47/8.68 FALSE | EXISTS V0: P_truth-{T}(V0)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #19: input, references = 13, size of lhs = 1:
% 8.47/8.68 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #20: input, references = 8, size of lhs = 2:
% 8.47/8.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #21: input, references = 10, size of lhs = 2:
% 8.47/8.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #22: input, references = 7, size of lhs = 2:
% 8.47/8.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_xor-{T}(V0,V1,V2)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #23: input, references = 8, size of lhs = 2:
% 8.47/8.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_and_star-{T}(V0,V1,V2)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #24: input, references = 4, size of lhs = 0:
% 8.47/8.68 FALSE | EXISTS V0: P_falsehood-{T}(V0)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #25: input, references = 4, size of lhs = 0:
% 8.47/8.68 FALSE | EXISTS V0: P_x-{T}(V0)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #26: input, references = 4, size of lhs = 0:
% 8.47/8.68 FALSE | EXISTS V0: P_y-{T}(V0)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 number of initial rules = 27
% 8.47/8.68
% 8.47/8.68 Simplifiers:
% 8.47/8.68 #27: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #28: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #29: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #30: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #31: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #32: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_xor-{F}(V0,V1,V2), P_xor-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #33: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_and_star-{F}(V0,V1,V2), P_and_star-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #34: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_falsehood-{F}(V0), P_falsehood-{F}(V1), V0 == V1 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #35: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #36: unsound, references = 3, size of lhs = 3:
% 8.47/8.68 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 number of simplifiers = 10
% 8.47/8.68
% 8.47/8.68 Learnt:
% 8.47/8.68 #38: exists( #17, #0 ), references = 17, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #44: mergings( V3 == V4; #41 ), references = 5, size of lhs = 4:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #46: mergings( V3 == V4; #42 ), references = 1, size of lhs = 4:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #48: exists( #19, #15 ), references = 2, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), P_falsehood-{F}(V1) | P_not-{T}(V0,V1)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #50: exists( #20, #4 ), references = 14, size of lhs = 3:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V4) | P_or-{T}(V1,V3,V4)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #52: exists( #20, #5 ), references = 1, size of lhs = 4:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #56: exists( #21, #7 ), references = 10, size of lhs = 5:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #58: exists( #22, #10 ), references = 11, size of lhs = 6:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #65: exists( #20, #6 ), references = 17, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), P_or-{F}(V1,V2,V3) | P_or-{T}(V2,V1,V3)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #67: exists( #23, #12 ), references = 2, size of lhs = 5:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #70: exists( #17, #4 ), references = 8, size of lhs = 3:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V1,V3,V4) | P_implies-{T}(V2,V3,V4)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #73: exists( #17, #2 ), references = 3, size of lhs = 4:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #91: mergings( V2 == V3, V3 == V4, V4 == V5; #86 ), references = 2, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V1,V0,V2), V2 == V0 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #102: exists( #20, #91 ), references = 6, size of lhs = 3:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), #-{F} V1 | P_or-{T}(V1,V0,V0)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #106: exists( #21, #9 ), references = 14, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), P_and-{F}(V1,V2,V3) | P_and-{T}(V2,V1,V3)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #107: exists( #21, #8 ), references = 1, size of lhs = 4:
% 8.47/8.68 P_truth-{F}(V0), P_and-{F}(V1,V2,V3), P_and-{F}(V3,V4,V5), P_and-{F}(V2,V4,V6) | P_and-{T}(V1,V6,V5)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #122: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #116 ), references = 1, size of lhs = 8:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_and_star-{F}(V4,V2,V5), P_and_star-{F}(V6,V4,V3), P_and_star-{F}(V6,V5,V7), V1 == V7 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #127: exists( #22, #11 ), references = 8, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3) | P_xor-{T}(V2,V1,V3)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #134: exists( #20, #10 ), references = 2, size of lhs = 6:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_xor-{F}(V3,V1,V4), P_and-{F}(V3,V2,V5), P_not-{F}(V3,V6), P_and-{F}(V6,V1,V7) | P_or-{T}(V5,V7,V4)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #141: exists( #19, #7 ), references = 8, size of lhs = 5:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_or-{F}(V2,V5,V6) | P_not-{T}(V6,V4)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #159: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #153 ), references = 5, size of lhs = 8:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_or-{F}(V3,V5,V6), P_or-{F}(V6,V1,V7), P_implies-{F}(V7,V1,V8) | P_and-{T}(V2,V4,V8)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #172: exists( #23, #14 ), references = 1, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3) | P_and_star-{T}(V2,V1,V3)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #178: mergings( V2 == V3; #176 ), references = 2, size of lhs = 6:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V3,V2,V4), P_implies-{F}(V1,V3,V5), P_implies-{F}(V4,V5,V6), V6 == V0 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #203: mergings( V2 == V3, V3 == V4, V4 == V5; #199 ), references = 1, size of lhs = 3:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1) | P_not-{T}(V1,V0)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #253: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V11 == V22, V22 == V23, V23 == V24, V24 == V27, V21 == V26, V26 == V28; #228 ), references = 1, size of lhs = 14:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_y-{F}(V0), P_falsehood-{F}(V1), P_x-{F}(V2), P_not-{F}(V0,V3), P_or-{F}(V2,V3,V2), P_or-{F}(V3,V2,V2), P_xor-{F}(V0,V0,V3), P_not-{F}(V3,V0), P_or-{F}(V0,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V5,V2,V6), P_or-{F}(V2,V5,V6) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #274: mergings( V3 == V4, V4 == V5; #271 ), references = 1, size of lhs = 6:
% 8.47/8.68 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)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #297: mergings( V3 == V4, V4 == V5; #294 ), references = 3, size of lhs = 9:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V2), P_and-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V7), P_and_star-{F}(V4,V8,V9), V9 == V6 | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #301: mergings( V3 == V4, V4 == V5; #298 ), references = 1, size of lhs = 7:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V2), P_and-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V7) | P_and_star-{T}(V4,V8,V6)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #315: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #309 ), references = 1, size of lhs = 7:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_and-{F}(V2,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V6,V1,V8) | P_implies-{T}(V4,V7,V8)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #334: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #328 ), references = 1, size of lhs = 11:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V3), P_not-{F}(V3,V4), P_xor-{F}(V0,V3,V5), P_xor-{F}(V3,V0,V5), P_not-{F}(V5,V6), P_and-{F}(V6,V3,V7), P_not-{F}(V7,V0) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #348: mergings( V3 == V4; #346 ), references = 1, size of lhs = 7:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V3), P_xor-{F}(V0,V3,V4), P_xor-{F}(V3,V0,V4) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #382: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V11 == V19, V19 == V20, V20 == V21; #363 ), references = 1, size of lhs = 10:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V3), P_or-{F}(V3,V1,V4), P_or-{F}(V1,V4,V3), P_not-{F}(V5,V1) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #403: exists( #23, #297 ), references = 1, size of lhs = 7:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V2), P_and-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V7) | P_and_star-{T}(V4,V8,V6)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #437: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #428 ), references = 1, size of lhs = 14:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_y-{F}(V5), P_not-{F}(V5,V6), P_xor-{F}(V0,V5,V7), P_not-{F}(V7,V5), P_and-{F}(V7,V4,V8), P_not-{F}(V8,V0), P_xor-{F}(V3,V0,V9), P_and-{F}(V6,V9,V8), P_not-{F}(V9,V3) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #441: exists( #23, #297 ), references = 1, size of lhs = 7:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V2), P_and-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V7) | P_and_star-{T}(V4,V8,V6)
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #463: mergings( V3 == V4, V4 == V5, V5 == V6; #459 ), references = 1, size of lhs = 15:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_xor-{F}(V0,V4,V6), P_xor-{F}(V3,V6,V7), P_xor-{F}(V3,V0,V8), P_not-{F}(V8,V9), P_and-{F}(V9,V4,V10), P_not-{F}(V11,V8), P_xor-{F}(V5,V11,V7), P_not-{F}(V5,V12), P_and-{F}(V12,V11,V10) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #470: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #465 ), references = 1, size of lhs = 13:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_xor-{F}(V0,V4,V5), P_xor-{F}(V3,V0,V6), P_not-{F}(V3,V6), P_not-{F}(V6,V7), P_and-{F}(V7,V4,V8), P_not-{F}(V5,V9), P_and-{F}(V9,V3,V8) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #478: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #472 ), references = 2, size of lhs = 11:
% 8.47/8.68 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_xor-{F}(V0,V4,V5), P_not-{F}(V5,V4), P_xor-{F}(V3,V0,V6), P_not-{F}(V3,V6), P_not-{F}(V6,V3) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #517: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V11 == V18, V18 == V19, V19 == V20; #499 ), references = 1, size of lhs = 13:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_or-{F}(V4,V1,V4), P_or-{F}(V1,V4,V4), P_xor-{F}(V3,V0,V5), P_not-{F}(V3,V5), P_not-{F}(V5,V3), P_not-{F}(V6,V1) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #565: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == 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 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V11 == V25, V25 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36; #531 ), references = 1, size of lhs = 13:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_or-{F}(V3,V1,V3), P_or-{F}(V1,V3,V3), P_y-{F}(V4), P_or-{F}(V4,V1,V4), P_or-{F}(V1,V4,V4), P_not-{F}(V5,V1), P_not-{F}(V6,V1) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #605: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == 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, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V13 == V27, V27 == V34, V34 == V35, V35 == V36, V36 == V37; #569 ), references = 2, size of lhs = 10:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_x-{F}(V3), P_or-{F}(V3,V1,V3), P_or-{F}(V1,V3,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V1) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #613: mergings( V1 == V2, V2 == V3, V3 == V4; #609 ), references = 1, size of lhs = 7:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_falsehood-{F}(V2), P_not-{F}(V3,V1), P_not-{F}(V4,V1) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #621: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #616 ), references = 1, size of lhs = 2:
% 8.47/8.68 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 #624: exists( #18, #622 ), references = 1, size of lhs = 0:
% 8.47/8.68 FALSE | FALSE
% 8.47/8.68 (used 0 times, uses = {})
% 8.47/8.68
% 8.47/8.68 number of learnt formulas = 44
% 8.47/8.68
% 8.47/8.68
% 8.47/8.68 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.47/8.68
% 8.47/8.68 randbase = 1
%------------------------------------------------------------------------------