TSTP Solution File: LCL155-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 1.06s 1.24s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 22:28:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.06/1.24 GeoParameters:
% 1.06/1.24
% 1.06/1.24 tptp_input = 1
% 1.06/1.24 tptp_output = 0
% 1.06/1.24 nonempty = 1
% 1.06/1.24 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.24 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.24
% 1.06/1.24 RuleSystem INPUT:
% 1.06/1.24
% 1.06/1.24 Initial Rules:
% 1.06/1.24 #0: input, references = 4, size of lhs = 3:
% 1.06/1.24 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #1: input, references = 5, size of lhs = 7:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #2: input, references = 5, size of lhs = 6:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #3: input, references = 4, size of lhs = 7:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #4: input, references = 5, size of lhs = 5:
% 1.06/1.24 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V4,V2,V5), V3 == V5 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #5: input, references = 4, size of lhs = 6:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #6: input, references = 4, size of lhs = 4:
% 1.06/1.24 P_truth-{F}(V0), P_or-{F}(V1,V2,V3), P_or-{F}(V2,V1,V4), V3 == V4 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #7: input, references = 5, size of lhs = 7:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #8: input, references = 3, size of lhs = 6:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #9: input, references = 4, size of lhs = 4:
% 1.06/1.24 P_truth-{F}(V0), P_and-{F}(V1,V2,V3), P_and-{F}(V2,V1,V4), V3 == V4 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #10: input, references = 5, size of lhs = 8:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #11: input, references = 4, size of lhs = 4:
% 1.06/1.24 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3), P_xor-{F}(V2,V1,V4), V3 == V4 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #12: input, references = 5, size of lhs = 7:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #13: input, references = 4, size of lhs = 6:
% 1.06/1.24 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
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #14: input, references = 4, size of lhs = 4:
% 1.06/1.24 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3), P_and_star-{F}(V2,V1,V4), V3 == V4 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #15: input, references = 4, size of lhs = 4:
% 1.06/1.24 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), V1 == V2 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #16: input, references = 4, size of lhs = 5:
% 1.06/1.24 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_x-{F}(V3), P_xor-{F}(V3,V3,V2) | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #17: input, references = 7, size of lhs = 2:
% 1.06/1.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #18: input, references = 4, size of lhs = 0:
% 1.06/1.24 FALSE | EXISTS V0: P_truth-{T}(V0)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #19: input, references = 9, size of lhs = 1:
% 1.06/1.24 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #20: input, references = 6, size of lhs = 2:
% 1.06/1.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #21: input, references = 6, size of lhs = 2:
% 1.06/1.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #22: input, references = 5, size of lhs = 2:
% 1.06/1.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_xor-{T}(V0,V1,V2)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #23: input, references = 5, size of lhs = 2:
% 1.06/1.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_and_star-{T}(V0,V1,V2)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #24: input, references = 4, size of lhs = 0:
% 1.06/1.24 FALSE | EXISTS V0: P_falsehood-{T}(V0)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #25: input, references = 4, size of lhs = 0:
% 1.06/1.24 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 number of initial rules = 26
% 1.06/1.24
% 1.06/1.24 Simplifiers:
% 1.06/1.24 #26: unsound, references = 3, size of lhs = 3:
% 1.06/1.24 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #27: unsound, references = 3, size of lhs = 3:
% 1.06/1.24 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 1.06/1.24 (used 0 times, uses = {})
% 1.06/1.24
% 1.06/1.24 #28: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #29: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #30: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #31: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_xor-{F}(V0,V1,V2), P_xor-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #32: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_and_star-{F}(V0,V1,V2), P_and_star-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #33: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_falsehood-{F}(V0), P_falsehood-{F}(V1), V0 == V1 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #34: unsound, references = 3, size of lhs = 3:
% 1.06/1.25 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 number of simplifiers = 9
% 1.06/1.25
% 1.06/1.25 Learnt:
% 1.06/1.25 #36: exists( #17, #0 ), references = 8, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #38: exists( #19, #15 ), references = 2, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), P_falsehood-{F}(V1) | P_not-{T}(V0,V1)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #40: exists( #21, #7 ), references = 2, size of lhs = 5:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #43: exists( #20, #4 ), references = 6, size of lhs = 3:
% 1.06/1.25 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V4) | P_or-{T}(V1,V3,V4)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #44: exists( #20, #10 ), references = 1, size of lhs = 6:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #46: exists( #20, #6 ), references = 6, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), P_or-{F}(V1,V2,V3) | P_or-{T}(V2,V1,V3)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #50: mergings( V3 == V4; #48 ), references = 4, size of lhs = 4:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #52: exists( #17, #4 ), references = 6, size of lhs = 3:
% 1.06/1.25 P_truth-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V1,V3,V4) | P_implies-{T}(V2,V3,V4)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #55: exists( #17, #2 ), references = 1, size of lhs = 4:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #69: mergings( V2 == V3, V3 == V4, V4 == V5; #64 ), references = 2, size of lhs = 4:
% 1.06/1.25 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_or-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #81: exists( #20, #69 ), references = 2, size of lhs = 3:
% 1.06/1.25 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), #-{F} V1 | P_or-{T}(V1,V0,V0)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #82: exists( #20, #5 ), references = 1, size of lhs = 4:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #86: exists( #21, #9 ), references = 2, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), P_and-{F}(V1,V2,V3) | P_and-{T}(V2,V1,V3)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #101: mergings( V2 == V3; #97 ), references = 2, size of lhs = 6:
% 1.06/1.25 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
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #104: exists( #23, #12 ), references = 1, size of lhs = 5:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #107: exists( #23, #14 ), references = 1, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3) | P_and_star-{T}(V2,V1,V3)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #108: exists( #23, #13 ), references = 1, size of lhs = 4:
% 1.06/1.25 P_truth-{F}(V0), P_and_star-{F}(V1,V2,V3), P_and_star-{F}(V3,V4,V5), P_and_star-{F}(V2,V4,V6) | P_and_star-{T}(V1,V6,V5)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #120: mergings( V2 == V3, V3 == V4, V4 == V5; #116 ), references = 1, size of lhs = 3:
% 1.06/1.25 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1) | P_not-{T}(V1,V0)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #122: exists( #22, #10 ), references = 2, size of lhs = 6:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #128: exists( #22, #11 ), references = 1, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), P_xor-{F}(V1,V2,V3) | P_xor-{T}(V2,V1,V3)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #131: exists( #19, #7 ), references = 3, size of lhs = 5:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #132: exists( #19, #12 ), references = 1, size of lhs = 5:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #150: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #144 ), references = 1, size of lhs = 8:
% 1.06/1.25 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)
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #183: 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 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V15 == V21, V21 == V23; #163 ), references = 1, size of lhs = 9:
% 1.06/1.25 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_falsehood-{F}(V1), P_x-{F}(V2), P_not-{F}(V0,V3), P_not-{F}(V3,V0), P_or-{F}(V2,V3,V2), P_or-{F}(V3,V3,V1), P_not-{F}(V4,V3) | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #210: 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 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V17 == V23, V23 == V25; #187 ), references = 1, size of lhs = 7:
% 1.06/1.25 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_not-{F}(V2,V0), P_or-{F}(V2,V2,V1), P_not-{F}(V3,V2) | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #236: 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; #215 ), references = 1, size of lhs = 2:
% 1.06/1.25 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 #239: exists( #18, #237 ), references = 1, size of lhs = 0:
% 1.06/1.25 FALSE | FALSE
% 1.06/1.25 (used 0 times, uses = {})
% 1.06/1.25
% 1.06/1.25 number of learnt formulas = 27
% 1.06/1.25
% 1.06/1.25
% 1.06/1.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.25
% 1.06/1.25 randbase = 1
%------------------------------------------------------------------------------