TSTP Solution File: ALG441-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG441-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 05:57:42 EDT 2022
% Result : Unsatisfiable 12.10s 12.28s
% Output : Refutation 12.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG441-1 : TPTP v8.1.0. Released v5.4.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 10:31:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 12.10/12.28 GeoParameters:
% 12.10/12.28
% 12.10/12.28 tptp_input = 1
% 12.10/12.28 tptp_output = 0
% 12.10/12.28 nonempty = 1
% 12.10/12.28 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.10/12.28 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 12.10/12.28
% 12.10/12.28
% 12.10/12.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.10/12.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.10/12.28
% 12.10/12.28 RuleSystem INPUT:
% 12.10/12.28
% 12.10/12.28 Initial Rules:
% 12.10/12.28 #0: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_m-{F}(V0,V0,V1,V2), V2 == V1 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #1: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_m-{F}(V0,V1,V1,V2), V2 == V0 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #2: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_u-{F}(V0,V0,V1), V1 == V0 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #3: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_v-{F}(V0,V0,V0,V0,V1), V1 == V0 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #4: input, references = 4, size of lhs = 3:
% 12.10/12.28 P_u-{F}(V0,V1,V2), P_u-{F}(V1,V0,V3), V2 == V3 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #5: input, references = 4, size of lhs = 3:
% 12.10/12.28 P_v-{F}(V0,V0,V0,V1,V2), P_v-{F}(V0,V0,V1,V0,V3), V2 == V3 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #6: input, references = 4, size of lhs = 3:
% 12.10/12.28 P_v-{F}(V0,V0,V1,V0,V2), P_v-{F}(V0,V1,V0,V0,V3), V2 == V3 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #7: input, references = 4, size of lhs = 3:
% 12.10/12.28 P_v-{F}(V0,V1,V0,V0,V2), P_v-{F}(V1,V0,V0,V0,V3), V2 == V3 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #8: input, references = 4, size of lhs = 3:
% 12.10/12.28 P_u-{F}(V0,V1,V2), P_v-{F}(V0,V0,V0,V1,V3), V2 == V3 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #9: input, references = 15, size of lhs = 6:
% 12.10/12.28 r-{F}(V0,V1,V2), r-{F}(V5,V4,V3), P_m-{F}(V8,V5,V0,V9), P_m-{F}(V7,V4,V1,V10), P_m-{F}(V6,V3,V2,V11), r-{F}(V8,V7,V6) | r-{T}(V9,V10,V11)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #10: input, references = 8, size of lhs = 5:
% 12.10/12.28 r-{F}(V0,V1,V2), P_u-{F}(V5,V0,V6), P_u-{F}(V4,V1,V7), P_u-{F}(V3,V2,V8), r-{F}(V5,V4,V3) | r-{T}(V6,V7,V8)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #11: input, references = 10, size of lhs = 7:
% 12.10/12.28 r-{F}(V0,V1,V2), r-{F}(V5,V4,V3), r-{F}(V8,V7,V6), P_v-{F}(V11,V8,V5,V0,V12), P_v-{F}(V10,V7,V4,V1,V13), P_v-{F}(V9,V6,V3,V2,V14), r-{F}(V11,V10,V9) | r-{T}(V12,V13,V14)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #12: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1) | r-{T}(V0,V0,V1)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #13: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1) | r-{T}(V0,V1,V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #14: input, references = 4, size of lhs = 2:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1) | r-{T}(V1,V0,V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #15: input, references = 4, size of lhs = 3:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V0,V0) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #16: input, references = 6, size of lhs = 3:
% 12.10/12.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_m-{T}(V0,V1,V2,V3)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #17: input, references = 6, size of lhs = 2:
% 12.10/12.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_u-{T}(V0,V1,V2)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #18: input, references = 10, size of lhs = 4:
% 12.10/12.28 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_v-{T}(V0,V1,V2,V3,V4)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #19: input, references = 4, size of lhs = 0:
% 12.10/12.28 FALSE | EXISTS V0: P_a-{T}(V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #20: input, references = 4, size of lhs = 0:
% 12.10/12.28 FALSE | EXISTS V0: P_b-{T}(V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 number of initial rules = 21
% 12.10/12.28
% 12.10/12.28 Simplifiers:
% 12.10/12.28 #21: unsound, references = 3, size of lhs = 3:
% 12.10/12.28 P_m-{F}(V0,V1,V2,V3), P_m-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #22: unsound, references = 3, size of lhs = 3:
% 12.10/12.28 P_u-{F}(V0,V1,V2), P_u-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #23: unsound, references = 3, size of lhs = 3:
% 12.10/12.28 P_v-{F}(V0,V1,V2,V3,V4), P_v-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #24: unsound, references = 3, size of lhs = 3:
% 12.10/12.28 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #25: unsound, references = 3, size of lhs = 3:
% 12.10/12.28 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 number of simplifiers = 5
% 12.10/12.28
% 12.10/12.28 Learnt:
% 12.10/12.28 #27: exists( #17, #2 ), references = 3, size of lhs = 1:
% 12.10/12.28 #-{F} V0 | P_u-{T}(V0,V0,V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #30: exists( #18, #3 ), references = 2, size of lhs = 1:
% 12.10/12.28 #-{F} V0 | P_v-{T}(V0,V0,V0,V0,V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #31: exists( #18, #8 ), references = 5, size of lhs = 1:
% 12.10/12.28 P_u-{F}(V0,V1,V2) | P_v-{T}(V0,V0,V0,V1,V2)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #34: exists( #16, #0 ), references = 11, size of lhs = 2:
% 12.10/12.28 #-{F} V0, #-{F} V1 | P_m-{T}(V0,V0,V1,V1)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #35: exists( #16, #1 ), references = 12, size of lhs = 2:
% 12.10/12.28 #-{F} V0, #-{F} V1 | P_m-{T}(V0,V1,V1,V0)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #38: exists( #17, #4 ), references = 3, size of lhs = 1:
% 12.10/12.28 P_u-{F}(V0,V1,V2) | P_u-{T}(V1,V0,V2)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #42: exists( #18, #5 ), references = 3, size of lhs = 1:
% 12.10/12.28 P_v-{F}(V0,V0,V0,V1,V2) | P_v-{T}(V0,V0,V1,V0,V2)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #44: exists( #18, #6 ), references = 3, size of lhs = 1:
% 12.10/12.28 P_v-{F}(V0,V0,V1,V0,V2) | P_v-{T}(V0,V1,V0,V0,V2)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #53: exists( #16, #51 ), references = 3, size of lhs = 20:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V2,V3,V4), r-{F}(V5,V3,V6), r-{F}(V7,V8,V9), P_m-{F}(V10,V7,V2,V11), r-{F}(V10,V12,V13), P_m-{F}(V13,V9,V4,V14), r-{F}(V15,V8,V16), P_m-{F}(V17,V15,V5,V18), r-{F}(V17,V12,V19), P_m-{F}(V19,V16,V6,V20), P_m-{F}(V11,V18,V21,V22), r-{F}(V21,V23,V24), P_m-{F}(V14,V20,V24,V25), P_m-{F}(V26,V22,V27,V0), r-{F}(V27,V28,V29), P_m-{F}(V30,V23,V28,V0), r-{F}(V26,V30,V31), P_m-{F}(V31,V25,V29,V0) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #59: exists( #18, #7 ), references = 3, size of lhs = 1:
% 12.10/12.28 P_v-{F}(V0,V1,V0,V0,V2) | P_v-{T}(V1,V0,V0,V0,V2)
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #71: exists( #16, #69 ), references = 2, size of lhs = 34:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V2,V0), P_m-{F}(V2,V3,V4,V0), r-{F}(V5,V3,V6), r-{F}(V7,V5,V8), r-{F}(V9,V5,V10), P_m-{F}(V9,V11,V7,V12), r-{F}(V5,V13,V14), r-{F}(V5,V15,V16), P_m-{F}(V15,V17,V13,V18), r-{F}(V19,V5,V20), r-{F}(V21,V5,V22), P_m-{F}(V22,V23,V20,V5), P_m-{F}(V21,V24,V19,V25), P_u-{F}(V12,V25,V26), P_m-{F}(V25,V27,V25,V5), r-{F}(V24,V28,V23), r-{F}(V11,V28,V29), P_m-{F}(V10,V29,V8,V30), r-{F}(V27,V31,V28), P_m-{F}(V26,V32,V12,V28), r-{F}(V32,V31,V33), P_u-{F}(V30,V5,V34), P_m-{F}(V34,V33,V30,V6), r-{F}(V28,V17,V35), P_m-{F}(V16,V35,V14,V36), r-{F}(V37,V38,V5), r-{F}(V37,V39,V28), P_m-{F}(V40,V39,V38,V4), r-{F}(V37,V41,V42), P_m-{F}(V18,V43,V41,V40), r-{F}(V37,V43,V44), P_m-{F}(V36,V44,V42,V5) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #100: exists( #18, #97 ), references = 2, size of lhs = 34:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V2,V3,V4), r-{F}(V5,V6,V7), r-{F}(V8,V9,V10), P_v-{F}(V11,V8,V5,V2,V12), P_v-{F}(V13,V9,V6,V3,V14), r-{F}(V11,V13,V15), P_v-{F}(V15,V10,V7,V4,V16), P_m-{F}(V17,V12,V18,V0), r-{F}(V18,V19,V20), r-{F}(V17,V21,V22), P_m-{F}(V21,V23,V19,V0), r-{F}(V12,V23,V24), P_m-{F}(V22,V25,V20,V0), P_m-{F}(V26,V24,V16,V27), P_m-{F}(V28,V27,V29,V25), P_m-{F}(V30,V29,V16,V28), P_m-{F}(V29,V31,V32,V30), r-{F}(V33,V34,V32), r-{F}(V33,V35,V31), P_m-{F}(V23,V35,V34,V36), r-{F}(V37,V38,V39), r-{F}(V37,V40,V41), r-{F}(V42,V43,V44), P_v-{F}(V45,V46,V43,V38,V23), r-{F}(V47,V46,V48), P_v-{F}(V49,V48,V44,V39,V29), r-{F}(V50,V45,V49), r-{F}(V42,V51,V52), r-{F}(V47,V53,V54), P_v-{F}(V55,V53,V51,V40,V36), r-{F}(V50,V55,V56), P_v-{F}(V56,V54,V52,V41,V26) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #101: exists( #18, #96 ), references = 1, size of lhs = 44:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V2,V0), P_u-{F}(V3,V3,V4), P_m-{F}(V3,V5,V3,V6), r-{F}(V3,V6,V7), r-{F}(V3,V6,V8), r-{F}(V5,V9,V6), P_m-{F}(V4,V10,V3,V6), r-{F}(V10,V9,V11), r-{F}(V6,V12,V13), P_m-{F}(V2,V12,V14,V0), r-{F}(V6,V15,V16), r-{F}(V6,V17,V18), P_m-{F}(V17,V19,V15,V20), P_m-{F}(V20,V6,V6,V21), r-{F}(V6,V19,V22), P_m-{F}(V18,V22,V16,V23), P_m-{F}(V21,V24,V24,V14), P_m-{F}(V6,V25,V26,V24), r-{F}(V27,V26,V28), r-{F}(V27,V25,V29), P_m-{F}(V30,V29,V28,V6), P_m-{F}(V31,V30,V8,V6), P_m-{F}(V23,V30,V31,V6), P_m-{F}(V31,V30,V7,V32), P_u-{F}(V32,V6,V33), P_m-{F}(V33,V11,V32,V13), r-{F}(V27,V34,V35), r-{F}(V27,V36,V37), P_m-{F}(V38,V36,V34,V6), P_m-{F}(V39,V37,V35,V30), r-{F}(V40,V41,V42), r-{F}(V40,V43,V44), r-{F}(V45,V46,V47), P_v-{F}(V48,V49,V46,V41,V38), r-{F}(V50,V49,V51), P_v-{F}(V52,V51,V47,V42,V39), r-{F}(V53,V48,V52), r-{F}(V45,V54,V55), r-{F}(V50,V56,V57), P_v-{F}(V58,V56,V54,V43,V6), r-{F}(V53,V58,V59), P_v-{F}(V59,V57,V55,V44,V31) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #104: exists( #18, #98 ), references = 2, size of lhs = 34:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V2,V3,V4), r-{F}(V5,V6,V7), r-{F}(V8,V9,V10), P_v-{F}(V11,V8,V5,V2,V12), P_v-{F}(V13,V9,V6,V3,V14), r-{F}(V11,V13,V15), P_v-{F}(V15,V10,V7,V4,V16), P_m-{F}(V17,V12,V18,V0), r-{F}(V18,V19,V20), r-{F}(V17,V21,V22), P_m-{F}(V21,V23,V19,V0), r-{F}(V12,V23,V24), P_m-{F}(V22,V25,V20,V0), P_m-{F}(V26,V24,V16,V27), P_m-{F}(V28,V27,V29,V25), P_m-{F}(V30,V29,V16,V28), P_m-{F}(V29,V31,V32,V30), r-{F}(V33,V34,V32), r-{F}(V33,V35,V31), P_m-{F}(V23,V35,V34,V36), r-{F}(V37,V38,V39), r-{F}(V37,V40,V41), r-{F}(V42,V43,V44), P_v-{F}(V45,V46,V43,V38,V23), r-{F}(V47,V46,V48), P_v-{F}(V49,V48,V44,V39,V29), r-{F}(V50,V45,V49), r-{F}(V42,V51,V52), r-{F}(V47,V53,V54), P_v-{F}(V55,V53,V51,V40,V36), r-{F}(V50,V55,V56), P_v-{F}(V56,V54,V52,V41,V26) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #105: exists( #18, #99 ), references = 1, size of lhs = 44:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V2,V0), P_u-{F}(V3,V3,V4), P_m-{F}(V3,V5,V3,V6), r-{F}(V3,V6,V7), r-{F}(V3,V6,V8), r-{F}(V5,V9,V6), P_m-{F}(V4,V10,V3,V6), r-{F}(V10,V9,V11), r-{F}(V6,V12,V13), P_m-{F}(V2,V12,V14,V0), r-{F}(V6,V15,V16), r-{F}(V6,V17,V18), P_m-{F}(V17,V19,V15,V20), P_m-{F}(V20,V6,V6,V21), r-{F}(V6,V19,V22), P_m-{F}(V18,V22,V16,V23), P_m-{F}(V21,V24,V24,V14), P_m-{F}(V6,V25,V26,V24), r-{F}(V27,V26,V28), r-{F}(V27,V25,V29), P_m-{F}(V30,V29,V28,V6), P_m-{F}(V31,V30,V8,V6), P_m-{F}(V23,V30,V31,V6), P_m-{F}(V31,V30,V7,V32), P_u-{F}(V32,V6,V33), P_m-{F}(V33,V11,V32,V13), r-{F}(V27,V34,V35), r-{F}(V27,V36,V37), P_m-{F}(V38,V36,V34,V6), P_m-{F}(V39,V37,V35,V30), r-{F}(V40,V41,V42), r-{F}(V40,V43,V44), r-{F}(V45,V46,V47), P_v-{F}(V48,V49,V46,V41,V38), r-{F}(V50,V49,V51), P_v-{F}(V52,V51,V47,V42,V39), r-{F}(V53,V48,V52), r-{F}(V45,V54,V55), r-{F}(V50,V56,V57), P_v-{F}(V58,V56,V54,V43,V6), r-{F}(V53,V58,V59), P_v-{F}(V59,V57,V55,V44,V31) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #115: exists( #18, #111 ), references = 1, size of lhs = 37:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V2,V3,V4), r-{F}(V5,V6,V4), r-{F}(V5,V7,V8), r-{F}(V9,V10,V11), r-{F}(V12,V13,V11), r-{F}(V12,V14,V15), r-{F}(V16,V17,V18), P_v-{F}(V19,V16,V9,V2,V20), P_v-{F}(V21,V17,V10,V3,V22), r-{F}(V19,V21,V23), P_m-{F}(V24,V20,V25,V0), r-{F}(V25,V26,V27), P_m-{F}(V28,V22,V26,V0), r-{F}(V24,V28,V29), P_m-{F}(V29,V30,V27,V0), P_v-{F}(V31,V32,V14,V7,V22), r-{F}(V33,V32,V34), r-{F}(V33,V35,V18), r-{F}(V36,V31,V37), P_v-{F}(V37,V34,V15,V8,V38), r-{F}(V36,V39,V23), P_v-{F}(V39,V35,V13,V6,V40), P_m-{F}(V22,V41,V42,V40), r-{F}(V43,V42,V44), r-{F}(V43,V41,V45), P_m-{F}(V38,V45,V44,V46), P_m-{F}(V46,V38,V47,V48), P_m-{F}(V48,V47,V38,V30), r-{F}(V49,V50,V51), r-{F}(V52,V53,V54), P_v-{F}(V55,V56,V52,V49,V20), r-{F}(V56,V57,V58), P_v-{F}(V59,V58,V54,V51,V47), r-{F}(V55,V60,V59), P_v-{F}(V60,V57,V53,V50,V61) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #116: exists( #18, #112 ), references = 1, size of lhs = 37:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V2,V3,V4), r-{F}(V5,V6,V4), r-{F}(V5,V7,V8), r-{F}(V9,V10,V11), r-{F}(V12,V13,V11), r-{F}(V12,V14,V15), r-{F}(V16,V17,V18), P_v-{F}(V19,V16,V9,V2,V20), P_v-{F}(V21,V17,V10,V3,V22), r-{F}(V19,V21,V23), P_m-{F}(V24,V20,V25,V0), r-{F}(V25,V26,V27), P_m-{F}(V28,V22,V26,V0), r-{F}(V24,V28,V29), P_m-{F}(V29,V30,V27,V0), P_v-{F}(V31,V32,V14,V7,V22), r-{F}(V33,V32,V34), r-{F}(V33,V35,V18), r-{F}(V36,V31,V37), P_v-{F}(V37,V34,V15,V8,V38), r-{F}(V36,V39,V23), P_v-{F}(V39,V35,V13,V6,V40), P_m-{F}(V22,V41,V42,V40), r-{F}(V43,V42,V44), r-{F}(V43,V41,V45), P_m-{F}(V38,V45,V44,V46), P_m-{F}(V46,V38,V47,V48), P_m-{F}(V48,V47,V38,V30), r-{F}(V49,V50,V51), r-{F}(V52,V53,V54), P_v-{F}(V55,V56,V52,V49,V20), r-{F}(V56,V57,V58), P_v-{F}(V59,V58,V54,V51,V47), r-{F}(V55,V60,V59), P_v-{F}(V60,V57,V53,V50,V61) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #149: exists( #17, #145 ), references = 2, size of lhs = 29:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V0,V2), P_m-{F}(V2,V3,V4,V0), P_u-{F}(V5,V6,V4), r-{F}(V7,V8,V3), P_u-{F}(V9,V10,V7), r-{F}(V9,V11,V12), r-{F}(V10,V12,V11), r-{F}(V12,V11,V6), r-{F}(V11,V12,V5), r-{F}(V13,V12,V12), r-{F}(V14,V12,V12), r-{F}(V12,V12,V15), r-{F}(V12,V12,V16), r-{F}(V17,V11,V12), r-{F}(V18,V12,V11), r-{F}(V12,V11,V19), r-{F}(V13,V20,V19), r-{F}(V11,V12,V21), r-{F}(V14,V22,V21), r-{F}(V17,V23,V15), r-{F}(V18,V24,V16), P_v-{F}(V24,V23,V22,V20,V8), r-{F}(V11,V25,V12), r-{F}(V11,V26,V12), r-{F}(V11,V27,V12), r-{F}(V12,V28,V11), P_v-{F}(V28,V27,V26,V25,V29) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #150: exists( #17, #146 ), references = 1, size of lhs = 29:
% 12.10/12.28 P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V0,V2), P_m-{F}(V2,V3,V4,V0), P_u-{F}(V5,V6,V4), r-{F}(V7,V8,V3), P_u-{F}(V9,V10,V7), r-{F}(V9,V11,V12), r-{F}(V10,V12,V11), r-{F}(V12,V11,V6), r-{F}(V11,V12,V5), r-{F}(V13,V12,V12), r-{F}(V14,V12,V12), r-{F}(V12,V12,V15), r-{F}(V12,V12,V16), r-{F}(V17,V11,V12), r-{F}(V18,V12,V11), r-{F}(V12,V11,V19), r-{F}(V13,V20,V19), r-{F}(V11,V12,V21), r-{F}(V14,V22,V21), r-{F}(V17,V23,V15), r-{F}(V18,V24,V16), P_v-{F}(V24,V23,V22,V20,V8), r-{F}(V11,V25,V12), r-{F}(V11,V26,V12), r-{F}(V11,V27,V12), r-{F}(V12,V28,V11), P_v-{F}(V28,V27,V26,V25,V29) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #168: mergings( V1 == V2; #165 ), references = 1, size of lhs = 3:
% 12.10/12.28 P_a-{F}(V0), P_u-{F}(V0,V0,V0), P_v-{F}(V0,V0,V0,V0,V0) | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 #175: exists( #19, #171 ), references = 1, size of lhs = 0:
% 12.10/12.28 FALSE | FALSE
% 12.10/12.28 (used 0 times, uses = {})
% 12.10/12.28
% 12.10/12.28 number of learnt formulas = 21
% 12.10/12.28
% 12.10/12.28
% 12.10/12.28 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.10/12.28
% 12.10/12.28 randbase = 1
%------------------------------------------------------------------------------