TSTP Solution File: SYN349-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 0.48s 0.67s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 02:59:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.67 GeoParameters:
% 0.48/0.67
% 0.48/0.67 tptp_input = 1
% 0.48/0.67 tptp_output = 0
% 0.48/0.67 nonempty = 1
% 0.48/0.67 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.48/0.67
% 0.48/0.67
% 0.48/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67
% 0.48/0.67 RuleSystem INPUT:
% 0.48/0.67
% 0.48/0.67 Initial Rules:
% 0.48/0.67 #0: input, references = 13, size of lhs = 3:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V3,V2) | f-{T}(V0,V2)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #1: input, references = 13, size of lhs = 3:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V0,V2) | f-{T}(V3,V2)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #2: input, references = 4, size of lhs = 4:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V0,V2), f-{F}(V1,V2) | f-{T}(V2,V1), f-{T}(V2,V3)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #3: input, references = 3, size of lhs = 4:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V2,V1), f-{F}(V1,V2) | f-{T}(V0,V2), f-{T}(V2,V3)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #4: input, references = 14, size of lhs = 2:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3) | f-{T}(V0,V2), f-{T}(V2,V1), f-{T}(V1,V2), f-{T}(V2,V3)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #5: input, references = 3, size of lhs = 4:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V0,V2), f-{F}(V2,V1) | f-{T}(V1,V2), f-{T}(V2,V3)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #6: input, references = 3, size of lhs = 4:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V0,V2), f-{F}(V2,V3) | f-{T}(V2,V1), f-{T}(V1,V2)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #7: input, references = 8, size of lhs = 4:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V2,V1), f-{F}(V2,V3) | f-{T}(V0,V2), f-{T}(V1,V2)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #8: input, references = 3, size of lhs = 4:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V1,V2), f-{F}(V2,V3) | f-{T}(V0,V2), f-{T}(V2,V1)
% 0.48/0.67 (used 0 times, uses = {})
% 0.48/0.67
% 0.48/0.67 #9: input, references = 24, size of lhs = 6:
% 0.48/0.67 P_g-{F}(V0,V1,V2), P_w-{F}(V0,V3), f-{F}(V0,V2), f-{F}(V2,V1), f-{F}(V1,V2), f-{F}(V2,V3) | FALSE
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #10: input, references = 5, size of lhs = 2:
% 0.48/0.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_g-{T}(V0,V1,V2)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #11: input, references = 4, size of lhs = 1:
% 0.48/0.68 #-{F} V0 | EXISTS V1: P_w-{T}(V0,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 number of initial rules = 12
% 0.48/0.68
% 0.48/0.68 Simplifiers:
% 0.48/0.68 #12: unsound, references = 3, size of lhs = 3:
% 0.48/0.68 P_g-{F}(V0,V1,V2), P_g-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #13: unsound, references = 3, size of lhs = 3:
% 0.48/0.68 P_w-{F}(V0,V1), P_w-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 number of simplifiers = 2
% 0.48/0.68
% 0.48/0.68 Learnt:
% 0.48/0.68 #17: mergings( V3 == V2; #15 ), references = 1, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V1), P_g-{F}(V0,V2,V1), P_g-{F}(V2,V1,V1), P_w-{F}(V2,V1), P_g-{F}(V0,V3,V1), P_g-{F}(V2,V4,V1) | f-{T}(V1,V2), f-{T}(V1,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #21: disj( #4, input, #0+#9, #0+#9 ), references = 1, size of lhs = 12:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V2,V1,V1), f-{F}(V0,V2), f-{F}(V1,V2), P_w-{F}(V2,V3), P_w-{F}(V4,V1), P_g-{F}(V4,V1,V1), P_g-{F}(V4,V5,V1), P_w-{F}(V6,V1), P_g-{F}(V6,V1,V1), P_g-{F}(V6,V7,V1) | f-{T}(V1,V3)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #23: mergings( V4 == V1; #20 ), references = 1, size of lhs = 12:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V2,V1,V1), f-{F}(V1,V2), P_w-{F}(V2,V3), P_g-{F}(V0,V4,V2), P_w-{F}(V5,V1), P_g-{F}(V5,V1,V1), P_g-{F}(V5,V6,V1), P_w-{F}(V7,V1), P_g-{F}(V7,V1,V1), P_g-{F}(V7,V8,V1) | f-{T}(V1,V3)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #28: disj( #4, #0+#9, #0+#9, #0+#9 ), references = 1, size of lhs = 11:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V1), P_w-{F}(V2,V1), P_g-{F}(V2,V1,V1), P_g-{F}(V2,V3,V1), P_w-{F}(V4,V1), P_g-{F}(V4,V1,V1), P_g-{F}(V4,V5,V1), P_w-{F}(V6,V1), P_g-{F}(V6,V1,V1), P_g-{F}(V6,V7,V1) | f-{T}(V0,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #32: disj( #2, input ), references = 5, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V1), f-{F}(V0,V2), f-{F}(V3,V2), P_w-{F}(V3,V4), P_g-{F}(V0,V4,V2), P_g-{F}(V3,V4,V2), f-{F}(V4,V2) | f-{T}(V2,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #37: disj( #7, input ), references = 1, size of lhs = 9:
% 0.48/0.68 P_w-{F}(V0,V1), f-{F}(V0,V2), f-{F}(V2,V1), P_w-{F}(V2,V3), f-{F}(V4,V3), P_g-{F}(V0,V4,V2), f-{F}(V4,V2), f-{F}(V4,V5), P_g-{F}(V2,V5,V4) | f-{T}(V5,V4)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #43: mergings( V0 == V1, V3 == V2; #40 ), references = 1, size of lhs = 6:
% 0.48/0.68 P_w-{F}(V0,V0), P_g-{F}(V0,V0,V1), P_g-{F}(V1,V1,V0), P_w-{F}(V1,V0), P_g-{F}(V1,V2,V0), P_g-{F}(V1,V3,V0) | f-{T}(V0,V0)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #51: mergings( V3 == V4; #49 ), references = 1, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V0,V3,V2), P_g-{F}(V0,V4,V2), P_g-{F}(V3,V5,V2), P_w-{F}(V3,V6), P_g-{F}(V3,V6,V2) | f-{T}(V2,V3), f-{T}(V2,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #54: mergings( V3 == V4; #52 ), references = 2, size of lhs = 6:
% 0.48/0.68 P_g-{F}(V0,V0,V1), f-{F}(V1,V0), f-{F}(V1,V2), P_g-{F}(V0,V2,V1), P_w-{F}(V0,V3), f-{F}(V1,V3) | f-{T}(V2,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #59: mergings( V4 == V7, V1 == V2; #56 ), references = 1, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V0), P_g-{F}(V0,V0,V1), P_g-{F}(V2,V0,V1), P_w-{F}(V2,V3), P_g-{F}(V2,V3,V1), P_g-{F}(V2,V4,V1), P_g-{F}(V0,V5,V1) | f-{T}(V1,V3)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #63: exists( #10, #61 ), references = 1, size of lhs = 1:
% 0.48/0.68 P_w-{F}(V0,V0) | FALSE
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #67: mergings( V3 == V2; #65 ), references = 1, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V1), P_g-{F}(V0,V2,V1), P_g-{F}(V2,V1,V1), P_w-{F}(V2,V1), P_g-{F}(V0,V3,V1), P_g-{F}(V2,V4,V1) | f-{T}(V1,V2), f-{T}(V1,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #71: disj( #7, input ), references = 2, size of lhs = 8:
% 0.48/0.68 P_w-{F}(V0,V1), f-{F}(V2,V1), f-{F}(V2,V3), P_g-{F}(V0,V3,V2), P_g-{F}(V4,V2,V3), f-{F}(V4,V3), P_w-{F}(V4,V5), f-{F}(V3,V5) | f-{T}(V0,V2)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #79: disj( #4, #1+#71+#1+#9, #1+#71+#1+#9, #0+#70+#1+#9 ), references = 1, size of lhs = 19:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V2,V2,V1), P_w-{F}(V2,V1), P_g-{F}(V2,V3,V1), P_g-{F}(V0,V4,V2), P_w-{F}(V5,V1), P_g-{F}(V5,V1,V6), P_g-{F}(V2,V6,V1), P_g-{F}(V6,V6,V1), P_w-{F}(V6,V1), P_g-{F}(V6,V7,V1), P_g-{F}(V5,V8,V6), P_w-{F}(V9,V1), P_g-{F}(V9,V1,V10), P_g-{F}(V10,V10,V1), P_w-{F}(V10,V1), P_g-{F}(V10,V11,V1), P_g-{F}(V9,V12,V10) | f-{T}(V1,V6)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #86: disj( #4, input, #0+#9 ), references = 1, size of lhs = 14:
% 0.48/0.68 P_w-{F}(V0,V1), f-{F}(V0,V2), P_g-{F}(V2,V3,V1), P_w-{F}(V2,V4), f-{F}(V2,V5), P_g-{F}(V0,V5,V2), f-{F}(V5,V2), P_w-{F}(V6,V4), f-{F}(V6,V7), P_w-{F}(V7,V1), P_g-{F}(V7,V8,V4), f-{F}(V7,V9), P_g-{F}(V6,V9,V7), f-{F}(V9,V7) | f-{T}(V1,V3), f-{T}(V3,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #94: mergings( V3 == V4; #92 ), references = 1, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V0,V3,V2), P_g-{F}(V0,V4,V2), P_g-{F}(V3,V5,V2), P_w-{F}(V3,V6), P_g-{F}(V3,V6,V2) | f-{T}(V2,V3), f-{T}(V2,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #98: mergings( V0 == V6; #96 ), references = 1, size of lhs = 8:
% 0.48/0.68 P_w-{F}(V0,V1), P_w-{F}(V1,V2), P_g-{F}(V0,V1,V3), f-{F}(V3,V2), f-{F}(V3,V1), f-{F}(V3,V4), P_g-{F}(V1,V4,V3), P_g-{F}(V0,V5,V3) | f-{T}(V4,V3)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #104: mergings( V7 == V9, V14 == V16; #101 ), references = 1, size of lhs = 22:
% 0.48/0.68 P_w-{F}(V0,V1), P_w-{F}(V1,V2), P_w-{F}(V3,V1), P_g-{F}(V3,V1,V4), f-{F}(V4,V2), f-{F}(V4,V5), f-{F}(V4,V6), P_w-{F}(V7,V6), P_g-{F}(V7,V6,V4), P_g-{F}(V7,V8,V4), P_g-{F}(V3,V9,V4), f-{F}(V4,V10), P_g-{F}(V1,V10,V4), P_w-{F}(V11,V10), P_g-{F}(V11,V10,V4), P_g-{F}(V11,V12,V4), P_g-{F}(V0,V13,V4), P_w-{F}(V13,V5), P_g-{F}(V13,V6,V4), P_w-{F}(V14,V13), P_g-{F}(V14,V13,V4), P_g-{F}(V14,V15,V4) | f-{T}(V0,V4), f-{T}(V13,V4)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #110: mergings( V6 == V8, V11 == V13, V20 == V0; #106 ), references = 1, size of lhs = 26:
% 0.48/0.68 P_w-{F}(V0,V1), P_w-{F}(V1,V2), P_g-{F}(V0,V1,V3), f-{F}(V3,V2), f-{F}(V3,V4), f-{F}(V3,V5), P_w-{F}(V6,V5), P_g-{F}(V6,V5,V3), P_g-{F}(V6,V7,V3), P_g-{F}(V0,V8,V3), f-{F}(V3,V9), P_g-{F}(V1,V9,V3), P_w-{F}(V10,V9), P_g-{F}(V10,V9,V3), P_g-{F}(V10,V11,V3), f-{F}(V3,V12), P_w-{F}(V12,V1), P_w-{F}(V13,V12), P_g-{F}(V13,V12,V3), P_g-{F}(V13,V14,V3), P_g-{F}(V12,V15,V3), P_w-{F}(V15,V4), P_g-{F}(V15,V5,V3), P_w-{F}(V16,V15), P_g-{F}(V16,V15,V3), P_g-{F}(V16,V17,V3) | f-{T}(V15,V3)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #117: mergings( V1 == V2, V7 == V9, V9 == V18; #113 ), references = 1, size of lhs = 25:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V0,V3,V2), P_g-{F}(V0,V4,V2), P_g-{F}(V4,V5,V2), P_w-{F}(V6,V4), P_g-{F}(V6,V4,V2), P_g-{F}(V6,V7,V2), P_w-{F}(V8,V4), P_g-{F}(V8,V4,V2), P_g-{F}(V8,V9,V2), P_w-{F}(V10,V4), P_g-{F}(V10,V4,V2), P_g-{F}(V10,V11,V2), P_g-{F}(V4,V12,V2), P_w-{F}(V4,V13), P_g-{F}(V4,V13,V2), P_w-{F}(V13,V4), P_g-{F}(V13,V4,V2), P_w-{F}(V14,V13), P_g-{F}(V14,V13,V2), P_g-{F}(V14,V15,V2), P_w-{F}(V16,V13), P_g-{F}(V16,V13,V2), P_g-{F}(V16,V17,V2) | f-{T}(V2,V1)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #125: mergings( V6 == V1; #123 ), references = 1, size of lhs = 7:
% 0.48/0.68 P_w-{F}(V0,V1), f-{F}(V2,V1), f-{F}(V2,V3), P_g-{F}(V0,V3,V2), P_w-{F}(V4,V3), P_g-{F}(V4,V3,V2), P_g-{F}(V4,V5,V2) | f-{T}(V0,V2)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #129: disj( #4, #123+#1+#9, #123+#1+#9 ), references = 1, size of lhs = 14:
% 0.48/0.68 P_w-{F}(V0,V1), P_w-{F}(V2,V1), P_g-{F}(V2,V1,V3), P_g-{F}(V4,V1,V3), P_w-{F}(V4,V1), P_g-{F}(V2,V5,V3), P_g-{F}(V4,V6,V3), P_g-{F}(V0,V7,V3), P_w-{F}(V8,V7), P_g-{F}(V8,V7,V3), P_g-{F}(V9,V7,V3), P_w-{F}(V9,V7), P_g-{F}(V8,V10,V3), P_g-{F}(V9,V11,V3) | f-{T}(V0,V3), f-{T}(V7,V3)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #134: mergings( V1 == V12; #132 ), references = 1, size of lhs = 16:
% 0.48/0.68 P_w-{F}(V0,V1), P_g-{F}(V0,V1,V2), P_g-{F}(V3,V1,V2), P_w-{F}(V3,V1), P_g-{F}(V0,V4,V2), P_g-{F}(V3,V5,V2), P_w-{F}(V6,V1), P_g-{F}(V6,V1,V2), P_g-{F}(V6,V7,V2), P_g-{F}(V6,V8,V2), P_w-{F}(V9,V8), P_g-{F}(V9,V8,V2), P_g-{F}(V10,V8,V2), P_w-{F}(V10,V8), P_g-{F}(V9,V11,V2), P_g-{F}(V10,V12,V2) | f-{T}(V8,V2)
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #139: exists( #10, #137 ), references = 1, size of lhs = 1:
% 0.48/0.68 P_w-{F}(V0,V1) | FALSE
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 #141: exists( #11, #138 ), references = 1, size of lhs = 1:
% 0.48/0.68 #-{F} V0 | FALSE
% 0.48/0.68 (used 0 times, uses = {})
% 0.48/0.68
% 0.48/0.68 number of learnt formulas = 25
% 0.48/0.68
% 0.48/0.68
% 0.48/0.68 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.68
% 0.48/0.68 randbase = 1
%------------------------------------------------------------------------------