TSTP Solution File: LCL112-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL112-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:08:46 EDT 2022
% Result : Unsatisfiable 1.45s 1.63s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL112-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 21:56:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.45/1.63 GeoParameters:
% 1.45/1.63
% 1.45/1.63 tptp_input = 1
% 1.45/1.63 tptp_output = 0
% 1.45/1.63 nonempty = 1
% 1.45/1.63 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.63 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.45/1.63
% 1.45/1.63
% 1.45/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.63
% 1.45/1.63 RuleSystem INPUT:
% 1.45/1.63
% 1.45/1.63 Initial Rules:
% 1.45/1.63 #0: input, references = 5, size of lhs = 3:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #1: input, references = 7, size of lhs = 7:
% 1.45/1.63 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
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #2: input, references = 11, size of lhs = 6:
% 1.45/1.63 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
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #3: input, references = 6, size of lhs = 7:
% 1.45/1.63 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
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #4: input, references = 5, size of lhs = 5:
% 1.45/1.63 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V1,V3,V0) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #5: input, references = 16, size of lhs = 2:
% 1.45/1.63 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #6: input, references = 4, size of lhs = 0:
% 1.45/1.63 FALSE | EXISTS V0: P_truth-{T}(V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #7: input, references = 11, size of lhs = 1:
% 1.45/1.63 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #8: input, references = 4, size of lhs = 0:
% 1.45/1.63 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 number of initial rules = 9
% 1.45/1.63
% 1.45/1.63 Simplifiers:
% 1.45/1.63 #9: unsound, references = 3, size of lhs = 3:
% 1.45/1.63 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #10: unsound, references = 3, size of lhs = 3:
% 1.45/1.63 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #11: unsound, references = 3, size of lhs = 3:
% 1.45/1.63 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #12: unsound, references = 3, size of lhs = 3:
% 1.45/1.63 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 number of simplifiers = 4
% 1.45/1.63
% 1.45/1.63 Learnt:
% 1.45/1.63 #15: exists( #5, #0 ), references = 18, size of lhs = 2:
% 1.45/1.63 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #16: exists( #5, #1 ), references = 3, size of lhs = 5:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #23: mergings( V3 == V4; #20 ), references = 13, size of lhs = 4:
% 1.45/1.63 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)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #25: mergings( V3 == V4; #21 ), references = 1, size of lhs = 5:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V4,V6) | P_implies-{T}(V5,V6,V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #29: exists( #5, #2 ), references = 5, size of lhs = 4:
% 1.45/1.63 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)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #34: exists( #5, #3 ), references = 14, size of lhs = 5:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #40: mergings( V3 == V4; #38 ), references = 1, size of lhs = 7:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V2,V6), V0 == V6 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #44: mergings( V3 == V4; #42 ), references = 5, size of lhs = 3:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #54: mergings( V3 == V4; #52 ), references = 5, size of lhs = 4:
% 1.45/1.63 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)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #80: mergings( V3 == V4, V4 == V5; #77 ), references = 4, size of lhs = 6:
% 1.45/1.63 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)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #94: mergings( V3 == V4, V4 == V5; #91 ), references = 4, size of lhs = 7:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V3,V5,V6), P_implies-{F}(V0,V6,V7) | P_implies-{T}(V2,V5,V7)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #108: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #102 ), references = 6, size of lhs = 17:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V2,V2), P_implies-{F}(V4,V2,V2), P_implies-{F}(V0,V2,V5), P_not-{F}(V6,V2), P_implies-{F}(V7,V3,V0), P_not-{F}(V8,V7), P_implies-{F}(V6,V8,V9), P_implies-{F}(V10,V4,V0), P_implies-{F}(V10,V7,V0), P_not-{F}(V11,V10), P_implies-{F}(V11,V1,V12), P_implies-{F}(V9,V10,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V13,V10,V14), P_implies-{F}(V14,V2,V2) | P_implies-{T}(V7,V2,V5)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #123: mergings( V7 == V10, V3 == V4, V4 == V5, V5 == V6; #118 ), references = 1, size of lhs = 25:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V2,V0), P_implies-{F}(V1,V3,V0), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V8), P_implies-{F}(V3,V8,V8), P_implies-{F}(V2,V8,V8), P_implies-{F}(V8,V8,V9), P_implies-{F}(V9,V1,V1), P_not-{F}(V10,V8), P_implies-{F}(V4,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V12,V8), P_not-{F}(V13,V12), P_implies-{F}(V13,V10,V14), P_implies-{F}(V0,V12,V14), P_implies-{F}(V0,V14,V15), P_implies-{F}(V15,V12,V16), P_implies-{F}(V16,V8,V8) | P_implies-{T}(V4,V7,V1)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #130: mergings( V2 == V3, V3 == V4; #127 ), references = 2, size of lhs = 17:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V1,V0), P_implies-{F}(V0,V4,V3), P_implies-{F}(V2,V5,V4), P_implies-{F}(V6,V1,V4), P_implies-{F}(V5,V7,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V0,V0), P_implies-{F}(V1,V8,V0), P_not-{F}(V9,V8), P_implies-{F}(V5,V9,V10), P_not-{F}(V11,V10), P_implies-{F}(V11,V5,V12), P_implies-{F}(V0,V12,V13), V13 == V0 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #152: mergings( V9 == V21, V10 == V22, V21 == V24, V22 == V0, V14 == V17, V15 == V17, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V13 == V17; #140 ), references = 1, size of lhs = 26:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V1,V4), P_implies-{F}(V0,V4,V1), P_not-{F}(V5,V1), P_implies-{F}(V6,V1,V1), P_implies-{F}(V7,V1,V1), P_not-{F}(V8,V1), P_implies-{F}(V8,V1,V4), P_not-{F}(V9,V1), P_implies-{F}(V9,V1,V4), P_implies-{F}(V10,V6,V0), P_implies-{F}(V10,V7,V0), P_not-{F}(V10,V11), P_implies-{F}(V11,V2,V0), P_implies-{F}(V11,V11,V0), P_not-{F}(V11,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V11), P_not-{F}(V12,V10), P_implies-{F}(V5,V12,V11) | P_not-{T}(V1,V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #165: mergings( V8 == V11, V9 == V11, V2 == V3, V3 == V4, V4 == V0, V0 == V5, V5 == V6, V7 == V11; #156 ), references = 1, size of lhs = 11:
% 1.45/1.63 P_x-{F}(V0), P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V2,V0), P_not-{F}(V2,V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V2), P_not-{F}(V3,V1), P_implies-{F}(V0,V3,V2) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #169: mergings( V3 == V4; #167 ), references = 4, size of lhs = 5:
% 1.45/1.63 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)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #182: mergings( V3 == V4, V4 == V5; #179 ), references = 2, size of lhs = 12:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_implies-{F}(V3,V1,V6), P_implies-{F}(V0,V6,V7), P_not-{F}(V7,V8), P_implies-{F}(V5,V8,V2), P_implies-{F}(V4,V7,V9), P_implies-{F}(V9,V7,V6), P_implies-{F}(V4,V2,V10), P_implies-{F}(V10,V2,V11) | P_implies-{T}(V7,V4,V11)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #196: mergings( V2 == V3, V3 == V4; #192 ), references = 1, size of lhs = 8:
% 1.45/1.63 P_truth-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V2,V4), P_not-{F}(V5,V3), P_implies-{F}(V2,V5,V6), P_implies-{F}(V6,V5,V7), V7 == V4 | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #199: mergings( V2 == V3, V5 == V6; #193 ), references = 2, size of lhs = 6:
% 1.45/1.63 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V0), P_implies-{F}(V3,V4,V2) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #218: exists( #7, #216 ), references = 1, size of lhs = 16:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V1,V2,V3), P_not-{F}(V4,V1), P_implies-{F}(V1,V4,V0), P_implies-{F}(V5,V0,V0), P_implies-{F}(V5,V1,V0), P_not-{F}(V6,V5), P_implies-{F}(V6,V1,V7), P_implies-{F}(V3,V5,V7), P_implies-{F}(V0,V7,V8), P_implies-{F}(V8,V5,V0) | P_not-{T}(V1,V0)
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #245: mergings( V17 == V18, V14 == V15, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V11; #236 ), references = 1, size of lhs = 16:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V3,V4), P_not-{F}(V4,V0), P_not-{F}(V5,V4), P_not-{F}(V6,V2), P_implies-{F}(V5,V6,V7), P_implies-{F}(V0,V7,V7), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V2), P_implies-{F}(V4,V7,V9), P_implies-{F}(V9,V7,V7) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #259: mergings( V10 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V0, V12 == V13; #251 ), references = 1, size of lhs = 11:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V2), P_not-{F}(V3,V2), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V5,V2) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #268: mergings( V0 == V6, V2 == V3, V3 == V4, V4 == V5; #263 ), references = 2, size of lhs = 4:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #271: exists( #8, #269 ), references = 1, size of lhs = 2:
% 1.45/1.63 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 #274: exists( #6, #272 ), references = 1, size of lhs = 0:
% 1.45/1.63 FALSE | FALSE
% 1.45/1.63 (used 0 times, uses = {})
% 1.45/1.63
% 1.45/1.63 number of learnt formulas = 26
% 1.45/1.63
% 1.45/1.63
% 1.45/1.63 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.63
% 1.45/1.63 randbase = 1
%------------------------------------------------------------------------------