TSTP Solution File: SYN310-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:24:18 EDT 2022
% Result : Unsatisfiable 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 02:54:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.84 GeoParameters:
% 0.60/0.84
% 0.60/0.84 tptp_input = 1
% 0.60/0.84 tptp_output = 0
% 0.60/0.84 nonempty = 1
% 0.60/0.84 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.60/0.84
% 0.60/0.84
% 0.60/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84
% 0.60/0.84 RuleSystem INPUT:
% 0.60/0.84
% 0.60/0.84 Initial Rules:
% 0.60/0.84 #0: input, references = 48, size of lhs = 1:
% 0.60/0.84 p-{F}(V0,V1,V2) | p-{T}(V2,V1,V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #1: input, references = 27, size of lhs = 1:
% 0.60/0.84 p-{F}(V1,V2,V0) | p-{T}(V2,V1,V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #2: input, references = 37, size of lhs = 2:
% 0.60/0.84 P_g-{F}(V0,V3), p-{F}(V2,V1,V3) | p-{T}(V2,V1,V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #3: input, references = 40, size of lhs = 2:
% 0.60/0.84 P_f-{F}(V2,V3), p-{F}(V3,V1,V0) | p-{T}(V2,V1,V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #4: input, references = 19, size of lhs = 4:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), p-{F}(V0,V1,V2) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #5: input, references = 19, size of lhs = 9:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_g-{F}(V0,V3), P_f-{F}(V3,V4), P_g-{F}(V1,V5), P_f-{F}(V5,V6), P_g-{F}(V2,V7), P_f-{F}(V7,V8) | p-{T}(V4,V6,V8)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #6: input, references = 13, size of lhs = 1:
% 0.60/0.84 #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #7: input, references = 27, size of lhs = 1:
% 0.60/0.84 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #8: input, references = 4, size of lhs = 0:
% 0.60/0.84 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #9: input, references = 4, size of lhs = 0:
% 0.60/0.84 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #10: input, references = 5, size of lhs = 0:
% 0.60/0.84 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 number of initial rules = 11
% 0.60/0.84
% 0.60/0.84 Simplifiers:
% 0.60/0.84 #11: unsound, references = 3, size of lhs = 3:
% 0.60/0.84 P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #12: unsound, references = 3, size of lhs = 3:
% 0.60/0.84 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #13: unsound, references = 3, size of lhs = 3:
% 0.60/0.84 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #14: unsound, references = 3, size of lhs = 3:
% 0.60/0.84 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #15: unsound, references = 3, size of lhs = 3:
% 0.60/0.84 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 number of simplifiers = 5
% 0.60/0.84
% 0.60/0.84 Learnt:
% 0.60/0.84 #46: mergings( V2 == V5, V3 == V6, V4 == V7; #42 ), references = 1, size of lhs = 6:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V1), P_c-{F}(V3), P_g-{F}(V3,V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #48: exists( #6, #42 ), references = 1, size of lhs = 3:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #71: mergings( V2 == V7, V3 == V8, V4 == V0; #67 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_c-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_a-{F}(V3), P_g-{F}(V3,V0), P_b-{F}(V4), P_g-{F}(V4,V0), P_f-{F}(V4,V2) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #109: mergings( V2 == V9, V5 == V10, V3 == V11, V7 == V12, V4 == V13; #103 ), references = 2, size of lhs = 9:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_b-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V5), P_g-{F}(V4,V5), P_c-{F}(V6), P_g-{F}(V6,V7) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #146: mergings( V2 == V9, V5 == V6, V3 == V10, V7 == V11, V4 == V8; #140 ), references = 1, size of lhs = 9:
% 0.60/0.84 P_c-{F}(V0), P_g-{F}(V0,V1), P_a-{F}(V2), P_g-{F}(V2,V3), P_f-{F}(V3,V3), P_b-{F}(V4), P_g-{F}(V4,V5), P_f-{F}(V5,V0), P_g-{F}(V5,V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #161: mergings( V2 == V6, V3 == V8, V4 == V9; #157 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V0), P_b-{F}(V2), P_g-{F}(V2,V3), P_f-{F}(V3,V2), P_c-{F}(V4), P_g-{F}(V4,V5) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #208: mergings( V2 == V9, V5 == V10, V6 == V8, V3 == V11, V7 == V12, V4 == V13; #201 ), references = 1, size of lhs = 10:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_b-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V2), P_g-{F}(V4,V5), P_c-{F}(V6), P_g-{F}(V6,V5), P_f-{F}(V6,V2) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #214: mergings( V2 == V6, V3 == V7, V0 == V8, V4 == V8; #209 ), references = 1, size of lhs = 6:
% 0.60/0.84 P_c-{F}(V0), P_a-{F}(V1), P_g-{F}(V1,V0), P_b-{F}(V2), P_g-{F}(V2,V0), P_g-{F}(V0,V3) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #219: mergings( V2 == V5, V3 == V6, V4 == V0; #215 ), references = 1, size of lhs = 5:
% 0.60/0.84 P_c-{F}(V0), P_a-{F}(V1), P_g-{F}(V1,V0), P_b-{F}(V2), P_g-{F}(V2,V0) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #248: mergings( V2 == V9, V3 == V10, V4 == V0; #244 ), references = 1, size of lhs = 10:
% 0.60/0.84 P_c-{F}(V0), P_g-{F}(V0,V0), P_a-{F}(V1), P_g-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V1,V4), P_b-{F}(V5), P_f-{F}(V5,V3), P_g-{F}(V5,V6), P_f-{F}(V6,V4) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #280: mergings( V2 == V9, V3 == V10, V4 == V11; #276 ), references = 1, size of lhs = 10:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_b-{F}(V4), P_f-{F}(V4,V2), P_g-{F}(V4,V5), P_f-{F}(V5,V3), P_c-{F}(V6), P_g-{F}(V6,V7) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #284: mergings( V2 == V8, V3 == V9; #281 ), references = 2, size of lhs = 9:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_b-{F}(V4), P_f-{F}(V4,V2), P_g-{F}(V4,V5), P_f-{F}(V5,V3), P_c-{F}(V6) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #288: mergings( V2 == V0, V3 == V0; #285 ), references = 1, size of lhs = 4:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #305: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V6; #300 ), references = 1, size of lhs = 7:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V1), P_c-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V4) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #328: mergings( V2 == V7, V3 == V8, V0 == V6, V4 == V9; #323 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V1), P_c-{F}(V3), P_f-{F}(V3,V1), P_g-{F}(V3,V4), P_f-{F}(V4,V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #353: mergings( V2 == V7, V3 == V8, V4 == V9; #349 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V1), P_c-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V5), P_f-{F}(V3,V5) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #358: mergings( V2 == V6, V3 == V7, V4 == V0; #354 ), references = 1, size of lhs = 6:
% 0.60/0.84 P_c-{F}(V0), P_g-{F}(V0,V0), P_a-{F}(V1), P_g-{F}(V1,V2), P_b-{F}(V3), P_g-{F}(V3,V2) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #393: mergings( V2 == V9, V5 == V10, V6 == V8, V3 == V11, V7 == V12, V4 == V13; #386 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_b-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V2), P_c-{F}(V5), P_g-{F}(V5,V6) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #398: mergings( V2 == V6, V3 == V7, V4 == V8; #394 ), references = 1, size of lhs = 6:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V1), P_c-{F}(V3), P_g-{F}(V3,V4) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #402: mergings( V2 == V5, V3 == V6; #399 ), references = 1, size of lhs = 5:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V1), P_c-{F}(V3) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #404: exists( #6, #399 ), references = 1, size of lhs = 3:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #406: exists( #10, #403 ), references = 1, size of lhs = 2:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #409: exists( #7, #284 ), references = 1, size of lhs = 7:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V1), P_f-{F}(V0,V2), P_g-{F}(V1,V3), P_f-{F}(V3,V2), P_c-{F}(V4) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #410: exists( #7, #109 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V3), P_f-{F}(V3,V4), P_g-{F}(V3,V4), P_c-{F}(V5), P_g-{F}(V5,V6) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #426: mergings( V2 == V6, V3 == V0, V4 == V7; #422 ), references = 1, size of lhs = 7:
% 0.60/0.84 P_b-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_g-{F}(V2,V0), P_a-{F}(V2), P_c-{F}(V3), P_g-{F}(V3,V0) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #450: mergings( V2 == V9, V5 == V8, V3 == V6, V4 == V10, V7 == V11; #444 ), references = 1, size of lhs = 9:
% 0.60/0.84 P_b-{F}(V0), P_g-{F}(V0,V1), P_a-{F}(V2), P_g-{F}(V2,V3), P_f-{F}(V3,V0), P_c-{F}(V4), P_g-{F}(V4,V5), P_f-{F}(V5,V3), P_g-{F}(V5,V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #468: mergings( V2 == V6, V3 == V9, V4 == V8; #464 ), references = 1, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V0), P_c-{F}(V2), P_g-{F}(V2,V3), P_f-{F}(V3,V2), P_b-{F}(V4), P_g-{F}(V4,V5) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #488: mergings( V2 == V9, V5 == V10, V3 == V11, V4 == V12, V7 == V13; #482 ), references = 2, size of lhs = 8:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_b-{F}(V3), P_g-{F}(V3,V4), P_c-{F}(V5), P_g-{F}(V5,V6), P_f-{F}(V6,V7) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #493: mergings( V2 == V6, V3 == V7, V4 == V8; #489 ), references = 1, size of lhs = 6:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V3), P_c-{F}(V4), P_g-{F}(V4,V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #497: mergings( V2 == V5, V3 == V6; #494 ), references = 1, size of lhs = 5:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_g-{F}(V3,V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #499: exists( #6, #494 ), references = 1, size of lhs = 3:
% 0.60/0.84 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #501: exists( #7, #488 ), references = 1, size of lhs = 7:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_g-{F}(V2,V3), P_c-{F}(V4), P_g-{F}(V4,V5), P_f-{F}(V5,V6) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #503: exists( #6, #500 ), references = 1, size of lhs = 6:
% 0.60/0.84 P_a-{F}(V0), P_g-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V5) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #505: exists( #6, #502 ), references = 1, size of lhs = 5:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_g-{F}(V2,V3), P_f-{F}(V3,V4) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #507: exists( #7, #504 ), references = 1, size of lhs = 4:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_g-{F}(V2,V3) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #509: exists( #6, #506 ), references = 1, size of lhs = 3:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #511: exists( #10, #508 ), references = 1, size of lhs = 2:
% 0.60/0.84 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #513: exists( #9, #510 ), references = 1, size of lhs = 1:
% 0.60/0.84 P_a-{F}(V0) | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #515: exists( #8, #512 ), references = 1, size of lhs = 0:
% 0.60/0.84 FALSE | FALSE
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 number of learnt formulas = 39
% 0.60/0.84
% 0.60/0.84
% 0.60/0.84 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84
% 0.60/0.84 randbase = 1
%------------------------------------------------------------------------------