%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:23:28 EDT 2022
% Result : Unsatisfiable 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 02:52:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.79 GeoParameters:
% 0.61/0.79
% 0.61/0.79 tptp_input = 1
% 0.61/0.79 tptp_output = 0
% 0.61/0.79 nonempty = 1
% 0.61/0.79 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.79 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.61/0.79
% 0.61/0.79
% 0.61/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.79
% 0.61/0.79 RuleSystem INPUT:
% 0.61/0.79
% 0.61/0.79 Initial Rules:
% 0.61/0.79 #0: input, references = 7, size of lhs = 2:
% 0.61/0.79 P_m-{F}(V1), P_n-{F}(V1) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #1: input, references = 4, size of lhs = 5:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), V1 == V2, V0 == V2 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #2: input, references = 4, size of lhs = 5:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), V2 == V3 | element-{T}(V2,V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #3: input, references = 12, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), element-{F}(V4,V3), V4 == V3, V4 == V2 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #4: input, references = 5, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_f-{F}(V4,V0), element-{F}(V4,V0), V4 == V0 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #5: input, references = 5, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_f-{F}(V4,V4), element-{F}(V4,V0), V4 == V0 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #6: input, references = 6, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_f-{F}(V4,V5), element-{F}(V4,V0), V4 == V0 | element-{T}(V4,V5)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #7: input, references = 4, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_f-{F}(V4,V5), element-{F}(V4,V0), V4 == V0 | element-{T}(V5,V4)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #8: input, references = 8, size of lhs = 9:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), element-{F}(V4,V5), element-{F}(V5,V4), V4 == V0, V5 == V0, V5 == V4 | element-{T}(V4,V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #9: input, references = 4, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_g-{F}(V4,V1), V4 == V1 | element-{T}(V4,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #10: input, references = 8, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_g-{F}(V4,V4), V4 == V1 | element-{T}(V4,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #11: input, references = 5, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_g-{F}(V4,V5), V4 == V1 | element-{T}(V4,V1), element-{T}(V4,V5)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #12: input, references = 4, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), P_g-{F}(V4,V5), V4 == V1 | element-{T}(V4,V1), element-{T}(V5,V4)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #13: input, references = 5, size of lhs = 10:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), element-{F}(V4,V1), element-{F}(V4,V5), element-{F}(V5,V4), V4 == V1, V5 == V1, V5 == V4 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #14: input, references = 9, size of lhs = 5:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), V0 == V2 | element-{T}(V0,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #15: input, references = 4, size of lhs = 5:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), V1 == V2 | element-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #16: input, references = 12, size of lhs = 8:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_j-{F}(V3), element-{F}(V4,V2), V4 == V2, V4 == V0, V4 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #17: input, references = 4, size of lhs = 0:
% 0.61/0.79 FALSE | EXISTS V0: P_m-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #18: input, references = 5, size of lhs = 0:
% 0.61/0.79 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #19: input, references = 4, size of lhs = 0:
% 0.61/0.79 FALSE | EXISTS V0: P_k-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #20: input, references = 6, size of lhs = 0:
% 0.61/0.79 FALSE | EXISTS V0: P_j-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #21: input, references = 5, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #22: input, references = 8, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 number of initial rules = 23
% 0.61/0.79
% 0.61/0.79 Simplifiers:
% 0.61/0.79 #23: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_m-{F}(V0), P_m-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #24: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #25: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #26: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_j-{F}(V0), P_j-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #27: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #28: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 number of simplifiers = 6
% 0.61/0.79
% 0.61/0.79 Learnt:
% 0.61/0.79 #37: mergings( V0 == V6, V1 == V7, V7 == V2, V3 == V8; #32 ), references = 7, size of lhs = 7:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V2), P_g-{F}(V3,V4), V3 == V1, V3 == V0 | element-{T}(V4,V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #48: mergings( V0 == V6, V6 == V10, V1 == V7, V7 == V11, V2 == V8, V8 == V12, V3 == V10, V10 == V9; #39 ), references = 1, size of lhs = 11:
% 0.61/0.79 P_j-{F}(V0), P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_g-{F}(V3,V4), V3 == V1, V4 == V0, V4 == V3, V3 == V0, V3 == V2, element-{F}(V4,V3) | element-{T}(V3,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #71: mergings( V2 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V20, V3 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V21, V4 == V21, V21 == V11, V11 == V15, V15 == V19, V5 == V8, V8 == V12, V12 == V20, V20 == V16, V16 == V22; #51 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V1), #-{F} V2, V2 == V1, V2 == V0 | P_g-{T}(V2,V1), P_g-{T}(V2,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #100: mergings( V0 == V4, V4 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V1 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27, V2 == V9, V9 == V13, V13 == V17, V17 == V27, V27 == V24, V3 == V6, V6 == V10, V10 == V26, V26 == V14, V14 == V20, V20 == V25, V25 == V28; #73 ), references = 3, size of lhs = 7:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V1), #-{F} V2, V2 == V1, V2 == V0 | P_g-{T}(V2,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #106: mergings( V0 == V6, V1 == V7, V7 == V2, V3 == V8; #101 ), references = 8, size of lhs = 7:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V2), P_g-{F}(V3,V4), V3 == V1, V3 == V0 | element-{T}(V3,V4)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #136: mergings( V3 == V6, V6 == V11, V11 == V16, V2 == V5, V5 == V8, V8 == V12, V12 == V17, V17 == V9, V9 == V13, V13 == V18, V4 == V7, V7 == V10, V10 == V14, V14 == V15; #121 ), references = 1, size of lhs = 8:
% 0.61/0.79 P_j-{F}(V0), P_m-{F}(V1), P_n-{F}(V2), P_k-{F}(V2), P_f-{F}(V3,V0), V3 == V1, V3 == V0, V3 == V2 | P_g-{T}(V3,V1), P_g-{T}(V3,V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #160: mergings( V1 == V4, V4 == V9, V9 == V14, V14 == V18, V18 == V22, V0 == V3, V3 == V6, V6 == V10, V10 == V15, V15 == V19, V19 == V23, V7 == V11, V11 == V16, V16 == V23, V23 == V20, V2 == V5, V5 == V8, V8 == V12, V12 == V13, V13 == V21, V21 == V24; #138 ), references = 1, size of lhs = 8:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V2), P_f-{F}(V3,V2), V3 == V2, V3 == V1, V3 == V0 | P_g-{T}(V3,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #192: mergings( V3 == V6, V6 == V11, V11 == V16, V2 == V5, V5 == V8, V8 == V12, V12 == V17, V17 == V9, V9 == V13, V13 == V15, V4 == V7, V7 == V10, V10 == V14, V14 == V18; #177 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V2), P_f-{F}(V3,V0), V3 == V1, V3 == V0 | P_g-{T}(V3,V1), P_g-{T}(V3,V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #216: mergings( V1 == V4, V4 == V9, V9 == V14, V14 == V18, V18 == V22, V0 == V3, V3 == V6, V6 == V10, V10 == V15, V15 == V19, V19 == V23, V7 == V11, V11 == V13, V13 == V23, V23 == V20, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V21, V21 == V24; #194 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_f-{F}(V1,V0), V1 == V0, P_m-{F}(V2), V1 == V2, P_j-{F}(V3) | P_g-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #239: mergings( V3 == V6, V6 == V11, V2 == V5, V5 == V8, V8 == V12, V12 == V9, V9 == V13, V4 == V7, V7 == V10, V10 == V14; #228 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V1), P_j-{F}(V2), P_f-{F}(V3,V0), V3 == V1, V3 == V0 | P_g-{T}(V3,V0), P_g-{T}(V3,V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #261: mergings( V1 == V4, V4 == V15, V15 == V9, V0 == V3, V3 == V6, V6 == V10, V10 == V14, V14 == V17, V7 == V11, V11 == V17, V17 == V18, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V19; #243 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_f-{F}(V1,V0), V1 == V0, P_n-{F}(V2), V1 == V2, P_k-{F}(V2), P_j-{F}(V3) | P_g-{T}(V1,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #282: mergings( V1 == V4, V4 == V9, V9 == V15, V15 == V18, V18 == V20, V0 == V3, V3 == V6, V6 == V10, V10 == V14, V14 == V17, V17 == V21, V7 == V11, V11 == V21, V21 == V22, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V23; #244 ), references = 1, size of lhs = 9:
% 0.61/0.79 P_m-{F}(V0), P_f-{F}(V1,V0), V1 == V0, P_n-{F}(V2), V0 == V2, V1 == V2, element-{F}(V0,V2), P_k-{F}(V2), P_j-{F}(V3) | P_g-{T}(V1,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #293: mergings( V3 == V5, V2 == V6, V6 == V7, V4 == V0; #288 ), references = 1, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V1), P_j-{F}(V2), V2 == V0, V2 == V1 | P_g-{T}(V2,V2), P_g-{T}(V2,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #306: mergings( V1 == V3, V3 == V7, V7 == V10, V0 == V4, V4 == V5, V5 == V11, V11 == V8, V2 == V6, V6 == V9, V9 == V12; #295 ), references = 2, size of lhs = 6:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1), P_j-{F}(V2), V2 == V1, V2 == V0 | P_g-{T}(V2,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #322: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V14, V7 == V14, V14 == V12; #309 ), references = 1, size of lhs = 3:
% 0.61/0.79 P_k-{F}(V0), P_n-{F}(V0), P_m-{F}(V1) | P_j-{T}(V1), P_j-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #388: mergings( V2 == V4, V4 == V9, V9 == V1, V1 == V16, V16 == V17, V17 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V7, V7 == V33, V33 == V34, V34 == V38, V38 == V40, V40 == V43, V43 == V45, V45 == V12, V12 == V50, V50 == V51, V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V35, V35 == V39, V39 == V41, V41 == V44, V44 == V46, V46 == V48, V48 == V49, V49 == V52, V6 == V11, V11 == V19, V19 == V25, V25 == V30, V30 == V36, V36 == V42, V42 == V47, V47 == V52, V52 == V53; #330 ), references = 3, size of lhs = 13:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), V0 == V1, P_k-{F}(V1), #-{F} V2, V2 == V0, V2 == V1, #-{F} V3, V3 == V0, V3 == V1, #-{F} V4, V4 == V0, V4 == V1 | P_j-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #442: mergings( V2 == V4, V4 == V9, V9 == V1, V1 == V16, V16 == V17, V17 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V7, V7 == V33, V33 == V34, V34 == V38, V38 == V40, V40 == V43, V43 == V45, V45 == V12, V12 == V52, V52 == V54, V54 == V55, V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V35, V35 == V39, V39 == V41, V41 == V44, V44 == V46, V46 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V53, V6 == V11, V11 == V19, V19 == V25, V25 == V30, V30 == V36, V36 == V42, V42 == V47, V47 == V53, V53 == V56; #331 ), references = 1, size of lhs = 13:
% 0.61/0.79 P_n-{F}(V0), P_k-{F}(V0), P_m-{F}(V1), V1 == V0, #-{F} V2, V2 == V1, V2 == V0, #-{F} V3, V3 == V1, V3 == V0, #-{F} V4, V4 == V0, V4 == V1 | P_j-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #496: mergings( V2 == V4, V4 == V9, V9 == V1, V1 == V16, V16 == V17, V17 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V7, V7 == V35, V35 == V37, V37 == V38, V38 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V12, V12 == V53, V53 == V54, V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V51, V51 == V52, V52 == V55, V6 == V11, V11 == V19, V19 == V25, V25 == V30, V30 == V39, V39 == V45, V45 == V50, V50 == V55, V55 == V56; #332 ), references = 1, size of lhs = 13:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), V0 == V1, P_k-{F}(V1), #-{F} V2, V2 == V0, V2 == V1, #-{F} V3, V3 == V1, V3 == V0, #-{F} V4, V4 == V0, V4 == V1 | P_j-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #515: mergings( V2 == V6, V6 == V10, V10 == V14, V3 == V7, V7 == V11, V11 == V15, V4 == V8, V8 == V14, V14 == V12, V5 == V9, V9 == V13, V13 == V16; #502 ), references = 1, size of lhs = 6:
% 0.61/0.79 P_k-{F}(V0), P_m-{F}(V0), element-{F}(V1,V0), V1 == V0, P_n-{F}(V2), P_j-{F}(V3) | P_f-{T}(V1,V1), P_f-{T}(V1,V0), P_f-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #535: mergings( V0 == V5, V5 == V9, V9 == V13, V1 == V6, V6 == V10, V10 == V14, V14 == V16, V16 == V19, V2 == V7, V7 == V13, V13 == V11, V11 == V17, V17 == V20, V3 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V21; #516 ), references = 1, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_k-{F}(V0), element-{F}(V1,V0), V1 == V0, P_n-{F}(V2), P_j-{F}(V3) | P_f-{T}(V1,V1), P_f-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #559: mergings( V0 == V5, V5 == V9, V9 == V18, V18 == V22, V1 == V6, V6 == V10, V10 == V13, V13 == V15, V15 == V19, V19 == V23, V2 == V7, V7 == V22, V22 == V11, V11 == V16, V16 == V20, V20 == V24, V3 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V21, V21 == V25; #536 ), references = 1, size of lhs = 6:
% 0.61/0.79 P_m-{F}(V0), P_k-{F}(V0), element-{F}(V1,V0), V1 == V0, P_n-{F}(V2), P_j-{F}(V3) | P_f-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #578: mergings( V1 == V6, V2 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17; #562 ), references = 1, size of lhs = 4:
% 0.61/0.79 P_m-{F}(V0), P_k-{F}(V0), P_n-{F}(V1), V1 == V0 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #580: exists( #19, #1 ), references = 1, size of lhs = 2:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1) | P_k-{T}(V1), P_k-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #583: mergings( V1 == V2; #581 ), references = 2, size of lhs = 3:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), V1 == V0 | P_k-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #591: mergings( V1 == V2, V2 == V3, V3 == V4; #587 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), #-{F} V1, V1 == V0, #-{F} V2, V2 == V0, #-{F} V3, V3 == V0 | P_n-{T}(V0), P_n-{T}(V1), P_n-{T}(V2), P_n-{T}(V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #601: mergings( V2 == V4, V3 == V5, V5 == V6; #597 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), V0 == V1, P_k-{F}(V1), element-{F}(V2,V1), V2 == V1, #-{F} V3 | P_f-{T}(V3,V0), P_f-{T}(V3,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #608: mergings( V2 == V0, V1 == V3, V3 == V7, V7 == V4, V4 == V8; #602 ), references = 1, size of lhs = 9:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), V0 == V1, P_k-{F}(V1), element-{F}(V2,V1), V2 == V1, P_j-{F}(V3), element-{F}(V4,V0), V4 == V0 | P_f-{T}(V4,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #653: mergings( V2 == V7, V7 == V1, V1 == V9, V9 == V12, V12 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V5, V5 == V31, V31 == V34, V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V39, V4 == V14, V14 == V16, V16 == V18, V18 == V23, V23 == V28, V28 == V39, V39 == V36, V36 == V38, V38 == V40; #613 ), references = 1, size of lhs = 4:
% 0.61/0.79 P_m-{F}(V0), P_n-{F}(V1), V0 == V1, P_k-{F}(V1) | P_j-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #709: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54; #657 ), references = 2, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), #-{F} V1, V0 == V1, #-{F} V2, V0 == V2, #-{F} V3, V0 == V3 | P_n-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #762: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V0, V0 == V1; #710 ), references = 1, size of lhs = 7:
% 0.61/0.79 P_m-{F}(V0), #-{F} V1, V0 == V1, #-{F} V2, V0 == V2, #-{F} V3, V0 == V3 | P_n-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #765: exists( #17, #763 ), references = 1, size of lhs = 3:
% 0.61/0.79 #-{F} V0, #-{F} V1, #-{F} V2 | P_m-{T}(V0), P_m-{T}(V1), P_m-{T}(V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #769: exists( #18, #767 ), references = 2, size of lhs = 1:
% 0.61/0.79 P_m-{F}(V0) | P_n-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #774: #771+#769+#0, references = 1, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 number of learnt formulas = 33
% 0.61/0.79
% 0.61/0.79
% 0.61/0.79 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.79
% 0.61/0.79 randbase = 1
%------------------------------------------------------------------------------