TSTP Solution File: SYN347-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:24:26 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 : Sat Jul 23 03:21:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 GeoParameters:
% 0.18/0.48
% 0.18/0.48 tptp_input = 1
% 0.18/0.48 tptp_output = 0
% 0.18/0.48 nonempty = 1
% 0.18/0.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 RuleSystem INPUT:
% 0.18/0.48
% 0.18/0.48 Initial Rules:
% 0.18/0.48 #0: input, references = 6, size of lhs = 4:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V3,V2,V4), f-{F}(V2,V4) | f-{T}(V0,V1), f-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #1: input, references = 6, size of lhs = 4:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V3,V2,V4), f-{F}(V3,V4) | f-{T}(V0,V1), f-{T}(V2,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #2: input, references = 6, size of lhs = 6:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1), P_y-{F}(V3,V2,V4), f-{F}(V3,V4), f-{F}(V2,V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #3: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1), P_y-{F}(V3,V2,V4) | f-{T}(V3,V4), f-{T}(V2,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #4: input, references = 10, size of lhs = 3:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V3,V4) | f-{T}(V0,V4), f-{T}(V1,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #5: input, references = 8, size of lhs = 5:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V3,V4), f-{F}(V0,V4), f-{F}(V1,V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #6: input, references = 8, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_y-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #7: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #8: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 9
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #9: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_y-{F}(V0,V1,V2), P_y-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 3
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #14: mergings( V1 == V0; #12 ), references = 1, size of lhs = 4:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V0), P_y-{F}(V1,V2,V3), P_y-{F}(V4,V5,V3) | f-{T}(V0,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: mergings( V3 == V4; #16 ), references = 1, size of lhs = 2:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: disj( #0, input ), references = 1, size of lhs = 6:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V0,V2,V1), f-{F}(V2,V1), f-{F}(V3,V4), P_y-{F}(V5,V3,V4) | f-{T}(V5,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #23: mergings( V1 == V5; #19 ), references = 2, size of lhs = 6:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1), f-{F}(V2,V3), P_y-{F}(V4,V2,V3), P_y-{F}(V5,V6,V1) | f-{T}(V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #28: disj( #1, input ), references = 1, size of lhs = 5:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V0,V0,V1), f-{F}(V2,V3), P_y-{F}(V2,V4,V3) | f-{T}(V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: mergings( V1 == V5; #27 ), references = 2, size of lhs = 6:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1), f-{F}(V2,V3), P_y-{F}(V2,V4,V3), P_y-{F}(V5,V6,V1) | f-{T}(V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #37: mergings( V0 == V5, V5 == V7, V6 == V1; #33 ), references = 1, size of lhs = 7:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1), P_y-{F}(V0,V1,V2), P_y-{F}(V3,V4,V2), P_y-{F}(V5,V6,V1), P_y-{F}(V7,V8,V2) | f-{T}(V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #45: mergings( V3 == V5, V5 == V0, V4 == V6, V6 == V1; #40 ), references = 1, size of lhs = 5:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1), P_y-{F}(V2,V3,V1), P_y-{F}(V4,V5,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #51: mergings( V0 == V4, V4 == V5, V5 == V6, V1 == V7; #46 ), references = 1, size of lhs = 5:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V3,V1), P_y-{F}(V4,V5,V1), P_y-{F}(V6,V7,V1) | f-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #55: mergings( V0 == V5, V1 == V6; #52 ), references = 7, size of lhs = 5:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1), P_y-{F}(V2,V2,V3), P_y-{F}(V2,V4,V3) | f-{T}(V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #59: disj( #0, input ), references = 2, size of lhs = 7:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3), P_y-{F}(V4,V2,V3), f-{F}(V5,V6), P_y-{F}(V5,V7,V6), f-{F}(V7,V6) | f-{T}(V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #61: disj( #1, input ), references = 2, size of lhs = 7:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3), P_y-{F}(V2,V4,V3), f-{F}(V5,V6), P_y-{F}(V5,V7,V6), f-{F}(V7,V6) | f-{T}(V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #72: mergings( V0 == V5, V5 == V7, V6 == V1; #68 ), references = 1, size of lhs = 8:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V0,V1,V2), P_y-{F}(V3,V4,V2), f-{F}(V5,V6), P_y-{F}(V5,V7,V6), f-{F}(V7,V6), P_y-{F}(V8,V9,V2) | f-{T}(V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #80: mergings( V3 == V5, V5 == V0, V4 == V6, V6 == V1; #75 ), references = 4, size of lhs = 8:
% 0.18/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3), P_y-{F}(V2,V4,V3), f-{F}(V4,V3), f-{F}(V5,V6), P_y-{F}(V5,V7,V6), f-{F}(V7,V6) | FALSE
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #88: mergings( V0 == V5, V5 == V7, V7 == V9, V1 == V6, V6 == V8, V8 == V10; #81 ), references = 1, size of lhs = 4:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V0,V0,V2), P_y-{F}(V3,V4,V2) | f-{T}(V1,V2)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #96: mergings( V0 == V5, V1 == V6; #93 ), references = 5, size of lhs = 8:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3), P_y-{F}(V4,V2,V3), P_y-{F}(V4,V5,V3), f-{F}(V5,V3), P_y-{F}(V4,V6,V3), f-{F}(V6,V3) | f-{T}(V0,V1)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #115: mergings( V0 == V5, V1 == V6; #111 ), references = 1, size of lhs = 7:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V0,V3), P_y-{F}(V4,V5,V3), P_y-{F}(V6,V6,V7), P_y-{F}(V6,V8,V7), P_y-{F}(V8,V8,V7) | f-{T}(V1,V3)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #120: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #112 ), references = 1, size of lhs = 7:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V0,V3), P_y-{F}(V4,V5,V3), P_y-{F}(V6,V6,V7), P_y-{F}(V6,V8,V7), P_y-{F}(V8,V8,V7) | f-{T}(V1,V3)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #132: mergings( V0 == V5, V1 == V6; #129 ), references = 3, size of lhs = 8:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3), P_y-{F}(V2,V4,V3), f-{F}(V5,V3), P_y-{F}(V5,V4,V3), f-{F}(V6,V3), P_y-{F}(V6,V4,V3) | f-{T}(V0,V1)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #145: mergings( V0 == V5, V1 == V6; #141 ), references = 3, size of lhs = 7:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V0,V2,V3), P_y-{F}(V4,V5,V3), P_y-{F}(V6,V6,V7), P_y-{F}(V6,V8,V7), P_y-{F}(V8,V8,V7) | f-{T}(V1,V3)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #150: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #142 ), references = 1, size of lhs = 7:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V0,V2,V3), P_y-{F}(V4,V5,V3), P_y-{F}(V6,V6,V7), P_y-{F}(V6,V8,V7), P_y-{F}(V8,V8,V7) | f-{T}(V1,V3)
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #162: mergings( V0 == V3, V1 == V4; #158 ), references = 1, size of lhs = 8:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V2,V3), P_y-{F}(V2,V4,V3), P_y-{F}(V4,V4,V3), P_y-{F}(V5,V5,V6), P_y-{F}(V5,V7,V6), P_y-{F}(V7,V7,V6) | FALSE
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #167: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #159 ), references = 1, size of lhs = 8:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1), P_y-{F}(V2,V2,V3), P_y-{F}(V2,V4,V3), P_y-{F}(V4,V4,V3), P_y-{F}(V5,V5,V6), P_y-{F}(V5,V7,V6), P_y-{F}(V7,V7,V6) | FALSE
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #172: mergings( V2 == V4, V3 == V5; #168 ), references = 1, size of lhs = 2:
% 0.33/0.48 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #176: mergings( V1 == V2; #173 ), references = 1, size of lhs = 1:
% 0.33/0.48 P_a-{F}(V0) | FALSE
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 #179: exists( #7, #173 ), references = 1, size of lhs = 0:
% 0.33/0.48 FALSE | FALSE
% 0.33/0.48 (used 0 times, uses = {})
% 0.33/0.48
% 0.33/0.48 number of learnt formulas = 26
% 0.33/0.48
% 0.33/0.48
% 0.33/0.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.48
% 0.33/0.48 randbase = 1
%------------------------------------------------------------------------------