TSTP Solution File: SYN574-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:24:59 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 03:08:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 GeoParameters:
% 0.19/0.43
% 0.19/0.43 tptp_input = 1
% 0.19/0.43 tptp_output = 0
% 0.19/0.43 nonempty = 1
% 0.19/0.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 RuleSystem INPUT:
% 0.19/0.43
% 0.19/0.43 Initial Rules:
% 0.19/0.43 #0: input, references = 3, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | p10-{T}(V0,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #1: input, references = 4, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | p7-{T}(V0,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #2: input, references = 4, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | p3-{T}(V0,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #3: input, references = 4, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | p2-{T}(V0,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #4: input, references = 4, size of lhs = 2:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1) | p9-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #5: input, references = 4, size of lhs = 4:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3) | p11-{T}(V2,V3)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #6: input, references = 4, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f5-{F}(V4,V5), P_f4-{F}(V5,V6), P_f4-{F}(V4,V7) | p3-{T}(V6,V7)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #7: input, references = 3, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f5-{F}(V4,V5), P_f6-{F}(V5,V6), P_f6-{F}(V4,V7) | p3-{T}(V6,V7)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #8: input, references = 3, size of lhs = 6:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p9-{F}(V5,V4) | p9-{T}(V5,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #9: input, references = 4, size of lhs = 6:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p9-{F}(V5,V1) | p9-{T}(V5,V4)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #10: input, references = 3, size of lhs = 8:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), P_f5-{F}(V5,V7), P_f5-{F}(V6,V8), p2-{F}(V5,V6) | p2-{T}(V7,V8)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #11: input, references = 3, size of lhs = 8:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), P_f6-{F}(V5,V7), P_f6-{F}(V6,V8), p2-{F}(V5,V6) | p3-{T}(V7,V8)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #12: input, references = 3, size of lhs = 8:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), P_f4-{F}(V5,V7), P_f4-{F}(V6,V8), p2-{F}(V5,V6) | p3-{T}(V7,V8)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #13: input, references = 3, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p10-{F}(V7,V5), p10-{F}(V7,V6) | p10-{T}(V5,V6)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #14: input, references = 3, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p7-{F}(V7,V5), p7-{F}(V7,V6) | p7-{T}(V5,V6)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #15: input, references = 4, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p3-{F}(V7,V5), p3-{F}(V7,V6) | p3-{T}(V5,V6)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #16: input, references = 3, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p2-{F}(V7,V5), p2-{F}(V7,V6) | p2-{T}(V5,V6)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #17: input, references = 3, size of lhs = 8:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p11-{F}(V5,V6), p10-{F}(V6,V7), p2-{F}(V5,V8) | p11-{T}(V8,V7)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #18: input, references = 4, size of lhs = 8:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p9-{F}(V5,V6), p3-{F}(V6,V7), p7-{F}(V5,V8) | p9-{T}(V8,V7)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #19: input, references = 3, size of lhs = 9:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), p2-{F}(V5,V6), P_f8-{F}(V8,V5,V9), P_f8-{F}(V7,V6,V10), p3-{F}(V8,V7) | p7-{T}(V9,V10)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #20: input, references = 4, size of lhs = 11:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), P_f4-{F}(V5,V6), P_f5-{F}(V7,V8), p11-{F}(V7,V3), p2-{F}(V5,V8), P_f8-{F}(V9,V5,V10), p9-{F}(V0,V9) | p9-{T}(V10,V9), p9-{T}(V10,V6)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #21: input, references = 4, size of lhs = 13:
% 0.19/0.43 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f4-{F}(V2,V4), P_f4-{F}(V5,V6), P_f5-{F}(V7,V8), p11-{F}(V7,V3), p2-{F}(V5,V8), P_f8-{F}(V9,V5,V10), p9-{F}(V0,V9), p9-{F}(V10,V9), p9-{F}(V10,V6) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #22: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_c12-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #23: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #24: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #25: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #26: input, references = 5, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #27: input, references = 4, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #28: input, references = 3, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #29: input, references = 4, size of lhs = 2:
% 0.19/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of initial rules = 30
% 0.19/0.43
% 0.19/0.43 Simplifiers:
% 0.19/0.43 #30: unsound, references = 3, size of lhs = 2:
% 0.19/0.43 p10-{F}(V0,V1), V1 == V0 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 p11-{F}(V0,V1), p11-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of simplifiers = 10
% 0.19/0.43
% 0.19/0.43 Learnt:
% 0.19/0.43 #49: mergings( V3 == V14, V0 == V11, V1 == V12, V2 == V13, V4 == V15; #43 ), references = 1, size of lhs = 16:
% 0.19/0.43 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V2), P_c14-{F}(V3), P_c15-{F}(V4), p11-{F}(V5,V4), P_f5-{F}(V5,V6), p2-{F}(V7,V6), P_f4-{F}(V7,V8), P_f8-{F}(V1,V7,V9), P_f4-{F}(V3,V10), P_f4-{F}(V11,V1), P_f8-{F}(V1,V11,V9), p11-{F}(V12,V4), P_f5-{F}(V12,V13), p2-{F}(V11,V13) | p9-{T}(V9,V8)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #62: mergings( V6 == V13, V13 == V20, V3 == V10, V10 == V17, V4 == V11, V11 == V18, V5 == V12, V12 == V19, V7 == V14, V14 == V21; #51 ), references = 2, size of lhs = 16:
% 0.19/0.43 P_c12-{F}(V0), p9-{F}(V0,V1), P_f4-{F}(V2,V1), p2-{F}(V2,V3), P_f5-{F}(V4,V3), p11-{F}(V4,V5), P_c15-{F}(V5), p11-{F}(V6,V5), P_f5-{F}(V6,V7), p2-{F}(V2,V7), P_c13-{F}(V8), P_c14-{F}(V9), P_f4-{F}(V9,V10), p11-{F}(V11,V5), P_f5-{F}(V11,V12), p2-{F}(V2,V12) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #85: mergings( V2 == V6, V6 == V11, V11 == V16, V3 == V7, V7 == V12, V12 == V25, V4 == V8, V8 == V13, V13 == V26, V5 == V9, V9 == V14, V14 == V22, V10 == V15, V15 == V27; #70 ), references = 2, size of lhs = 18:
% 0.19/0.43 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_f4-{F}(V3,V2), P_f5-{F}(V3,V4), p2-{F}(V4,V5), P_f5-{F}(V6,V5), p11-{F}(V6,V7), P_c15-{F}(V7), p11-{F}(V8,V7), P_f5-{F}(V8,V9), p2-{F}(V4,V9), P_c13-{F}(V10), P_c14-{F}(V11), P_f4-{F}(V11,V12), p11-{F}(V13,V7), P_f5-{F}(V13,V14), p2-{F}(V4,V14) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #88: exists( #27, #86 ), references = 2, size of lhs = 9:
% 0.19/0.43 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_f4-{F}(V3,V2), P_c15-{F}(V4), p11-{F}(V3,V4), P_c13-{F}(V5), P_c14-{F}(V6), P_f4-{F}(V6,V7) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #94: mergings( V2 == V6, V3 == V8, V4 == V7; #90 ), references = 1, size of lhs = 7:
% 0.19/0.43 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_c13-{F}(V2), P_c15-{F}(V3), P_c14-{F}(V4), p11-{F}(V4,V3) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #101: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #96 ), references = 1, size of lhs = 5:
% 0.19/0.43 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_c13-{F}(V2), P_c14-{F}(V3) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #107: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #102 ), references = 1, size of lhs = 4:
% 0.19/0.43 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_c13-{F}(V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #113: mergings( V1 == V2, V2 == V3, V3 == V4; #109 ), references = 1, size of lhs = 2:
% 0.19/0.43 P_c12-{F}(V0), p7-{F}(V0,V0) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #116: exists( #22, #114 ), references = 1, size of lhs = 0:
% 0.19/0.43 FALSE | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of learnt formulas = 9
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 randbase = 1
%------------------------------------------------------------------------------