TSTP Solution File: ALG441-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG441-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 15.01s 15.25s
% Output : Refutation 15.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG441-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 : Fri Jul 22 11:07:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.01/15.25 GeoParameters:
% 15.01/15.25
% 15.01/15.25 tptp_input = 1
% 15.01/15.25 tptp_output = 0
% 15.01/15.25 nonempty = 1
% 15.01/15.25 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/15.25 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 15.01/15.25
% 15.01/15.25
% 15.01/15.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/15.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/15.25
% 15.01/15.25 RuleSystem INPUT:
% 15.01/15.25
% 15.01/15.25 Initial Rules:
% 15.01/15.25 #0: input, references = 4, size of lhs = 2:
% 15.01/15.25 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #1: input, references = 4, size of lhs = 2:
% 15.01/15.25 P_m-{F}(V0,V0,V1,V2), V2 == V1 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #2: input, references = 4, size of lhs = 2:
% 15.01/15.25 P_m-{F}(V0,V1,V1,V2), V2 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #3: input, references = 4, size of lhs = 2:
% 15.01/15.25 P_u-{F}(V0,V0,V1), V1 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #4: input, references = 4, size of lhs = 2:
% 15.01/15.25 P_v-{F}(V0,V0,V0,V0,V1), V1 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #5: input, references = 4, size of lhs = 3:
% 15.01/15.25 P_u-{F}(V0,V1,V2), P_u-{F}(V1,V0,V3), V2 == V3 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #6: input, references = 4, size of lhs = 3:
% 15.01/15.25 P_v-{F}(V0,V0,V0,V1,V2), P_v-{F}(V0,V0,V1,V0,V3), V2 == V3 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #7: input, references = 4, size of lhs = 3:
% 15.01/15.25 P_v-{F}(V0,V0,V1,V0,V2), P_v-{F}(V0,V1,V0,V0,V3), V2 == V3 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #8: input, references = 4, size of lhs = 3:
% 15.01/15.25 P_v-{F}(V0,V1,V0,V0,V2), P_v-{F}(V1,V0,V0,V0,V3), V2 == V3 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #9: input, references = 4, size of lhs = 3:
% 15.01/15.25 P_u-{F}(V0,V1,V2), P_v-{F}(V0,V0,V0,V1,V3), V2 == V3 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #10: input, references = 6, size of lhs = 12:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V2,V3,V10), P_r-{F}(V4,V5,V6,V11), P_r-{F}(V7,V8,V9,V12), P_m-{F}(V7,V4,V1,V13), P_m-{F}(V8,V5,V2,V14), P_m-{F}(V9,V6,V3,V15), P_r-{F}(V13,V14,V15,V16), P_ifeq-{F}(V12,V0,V16,V0,V17), P_ifeq-{F}(V11,V0,V17,V0,V18), P_ifeq-{F}(V10,V0,V18,V0,V19), V19 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #11: input, references = 4, size of lhs = 10:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V2,V3,V7), P_r-{F}(V4,V5,V6,V8), P_u-{F}(V4,V1,V9), P_u-{F}(V5,V2,V10), P_u-{F}(V6,V3,V11), P_r-{F}(V9,V10,V11,V12), P_ifeq-{F}(V8,V0,V12,V0,V13), P_ifeq-{F}(V7,V0,V13,V0,V14), V14 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #12: input, references = 4, size of lhs = 14:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V10,V11,V12,V13), P_r-{F}(V1,V2,V3,V14), P_r-{F}(V4,V5,V6,V15), P_r-{F}(V7,V8,V9,V16), P_v-{F}(V7,V4,V1,V10,V17), P_v-{F}(V8,V5,V2,V11,V18), P_v-{F}(V9,V6,V3,V12,V19), P_r-{F}(V17,V18,V19,V20), P_ifeq-{F}(V16,V0,V20,V0,V21), P_ifeq-{F}(V15,V0,V21,V0,V22), P_ifeq-{F}(V14,V0,V22,V0,V23), P_ifeq-{F}(V13,V0,V23,V0,V24), V24 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #13: input, references = 4, size of lhs = 5:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r-{F}(V1,V1,V2,V3), V3 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #14: input, references = 4, size of lhs = 6:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r-{F}(V1,V1,V2,V3), P_r-{F}(V1,V2,V1,V4), V4 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #15: input, references = 4, size of lhs = 7:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r-{F}(V1,V1,V2,V3), P_r-{F}(V1,V2,V1,V4), P_r-{F}(V2,V1,V1,V5), V5 == V0 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #16: input, references = 4, size of lhs = 7:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r-{F}(V1,V1,V2,V3), P_r-{F}(V1,V2,V1,V4), P_r-{F}(V2,V1,V1,V5), P_r-{F}(V1,V1,V1,V0) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #17: input, references = 5, size of lhs = 4:
% 15.01/15.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #18: input, references = 4, size of lhs = 3:
% 15.01/15.25 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_m-{T}(V0,V1,V2,V3)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #19: input, references = 6, size of lhs = 2:
% 15.01/15.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_u-{T}(V0,V1,V2)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #20: input, references = 10, size of lhs = 4:
% 15.01/15.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_v-{T}(V0,V1,V2,V3,V4)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #21: input, references = 9, size of lhs = 3:
% 15.01/15.25 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_r-{T}(V0,V1,V2,V3)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #22: input, references = 4, size of lhs = 0:
% 15.01/15.25 FALSE | EXISTS V0: P_true-{T}(V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #23: input, references = 4, size of lhs = 0:
% 15.01/15.25 FALSE | EXISTS V0: P_a-{T}(V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #24: input, references = 4, size of lhs = 0:
% 15.01/15.25 FALSE | EXISTS V0: P_b-{T}(V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 number of initial rules = 25
% 15.01/15.25
% 15.01/15.25 Simplifiers:
% 15.01/15.25 #25: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #26: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_m-{F}(V0,V1,V2,V3), P_m-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #27: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_u-{F}(V0,V1,V2), P_u-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #28: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_v-{F}(V0,V1,V2,V3,V4), P_v-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #29: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_r-{F}(V0,V1,V2,V3), P_r-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #30: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #31: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #32: unsound, references = 3, size of lhs = 3:
% 15.01/15.25 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 number of simplifiers = 8
% 15.01/15.25
% 15.01/15.25 Learnt:
% 15.01/15.25 #34: exists( #19, #3 ), references = 2, size of lhs = 1:
% 15.01/15.25 #-{F} V0 | P_u-{T}(V0,V0,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #37: exists( #18, #1 ), references = 13, size of lhs = 2:
% 15.01/15.25 #-{F} V0, #-{F} V1 | P_m-{T}(V0,V0,V1,V1)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #38: exists( #18, #2 ), references = 6, size of lhs = 2:
% 15.01/15.25 #-{F} V0, #-{F} V1 | P_m-{T}(V0,V1,V1,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #42: exists( #21, #13 ), references = 2, size of lhs = 3:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_r-{T}(V1,V1,V2,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #45: exists( #17, #0 ), references = 6, size of lhs = 3:
% 15.01/15.25 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #49: exists( #20, #4 ), references = 2, size of lhs = 1:
% 15.01/15.25 #-{F} V0 | P_v-{T}(V0,V0,V0,V0,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #50: exists( #20, #9 ), references = 3, size of lhs = 1:
% 15.01/15.25 P_u-{F}(V0,V1,V2) | P_v-{T}(V0,V0,V0,V1,V2)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #52: exists( #21, #14 ), references = 2, size of lhs = 4:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r-{F}(V1,V1,V2,V3) | P_r-{T}(V1,V2,V1,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #54: exists( #19, #5 ), references = 3, size of lhs = 1:
% 15.01/15.25 P_u-{F}(V0,V1,V2) | P_u-{T}(V1,V0,V2)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #59: exists( #21, #55 ), references = 7, size of lhs = 6:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V2,V3,V0), P_u-{F}(V4,V1,V5), P_r-{F}(V4,V6,V7,V0), P_u-{F}(V6,V2,V8), P_u-{F}(V7,V3,V9) | P_r-{T}(V5,V8,V9,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #60: exists( #21, #56 ), references = 10, size of lhs = 8:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V2,V3,V0), P_r-{F}(V4,V5,V6,V0), P_r-{F}(V7,V8,V9,V0), P_v-{F}(V10,V7,V4,V1,V11), P_r-{F}(V10,V12,V13,V0), P_v-{F}(V12,V8,V5,V2,V14), P_v-{F}(V13,V9,V6,V3,V15) | P_r-{T}(V11,V14,V15,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #64: exists( #21, #15 ), references = 2, size of lhs = 5:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r-{F}(V1,V1,V2,V3), P_r-{F}(V1,V2,V1,V4) | P_r-{T}(V2,V1,V1,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #69: exists( #21, #67 ), references = 12, size of lhs = 7:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V2,V3,V0), P_r-{F}(V4,V5,V6,V0), P_m-{F}(V7,V4,V1,V8), P_r-{F}(V7,V9,V10,V0), P_m-{F}(V9,V5,V2,V11), P_m-{F}(V10,V6,V3,V12) | P_r-{T}(V8,V11,V12,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #74: exists( #17, #10 ), references = 1, size of lhs = 10:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V1,V0,V2,V0,V3), P_ifeq-{F}(V4,V0,V3,V0,V5), P_r-{F}(V6,V7,V8,V4), P_r-{F}(V9,V10,V11,V1), P_m-{F}(V9,V6,V12,V13), P_m-{F}(V10,V7,V14,V15), P_r-{F}(V13,V15,V16,V2), P_m-{F}(V11,V8,V17,V16), P_r-{F}(V12,V14,V17,V18) | P_ifeq-{T}(V18,V0,V5,V0,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #99: mergings( V5 == V6, V6 == V7; #96 ), references = 2, size of lhs = 35:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V0,V0,V1,V0,V2), P_ifeq-{F}(V0,V0,V2,V0,V3), P_ifeq-{F}(V0,V0,V3,V0,V4), V4 == V0, P_r-{F}(V5,V6,V7,V0), P_r-{F}(V7,V8,V9,V0), P_r-{F}(V10,V11,V7,V0), P_r-{F}(V12,V13,V14,V0), P_r-{F}(V14,V15,V16,V0), P_r-{F}(V17,V18,V14,V0), P_r-{F}(V19,V20,V21,V0), P_v-{F}(V22,V19,V12,V5,V23), P_r-{F}(V22,V24,V25,V0), P_v-{F}(V24,V20,V13,V6,V26), P_r-{F}(V21,V27,V28,V0), P_v-{F}(V29,V27,V15,V8,V30), P_r-{F}(V25,V29,V31,V0), P_v-{F}(V31,V28,V16,V9,V32), P_r-{F}(V33,V34,V21,V0), P_v-{F}(V35,V33,V17,V10,V36), P_r-{F}(V35,V37,V25,V0), P_v-{F}(V37,V34,V18,V11,V38), P_r-{F}(V36,V39,V40,V1), P_r-{F}(V41,V42,V40,V0), P_m-{F}(V23,V43,V41,V44), P_r-{F}(V43,V45,V40,V0), P_m-{F}(V26,V45,V42,V46), P_r-{F}(V44,V47,V40,V0), P_r-{F}(V40,V48,V49,V0), P_m-{F}(V32,V50,V49,V40), P_r-{F}(V40,V51,V50,V0), P_m-{F}(V30,V51,V48,V52), P_m-{F}(V46,V47,V52,V53), P_m-{F}(V38,V53,V52,V39) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #103: mergings( V5 == V6, V6 == V7; #100 ), references = 2, size of lhs = 35:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V0,V0,V1,V0,V2), P_ifeq-{F}(V0,V0,V2,V0,V3), P_ifeq-{F}(V0,V0,V3,V0,V4), V4 == V0, P_r-{F}(V5,V6,V7,V0), P_r-{F}(V7,V8,V9,V0), P_r-{F}(V10,V11,V7,V0), P_r-{F}(V12,V13,V14,V0), P_r-{F}(V14,V15,V16,V0), P_r-{F}(V17,V18,V14,V0), P_r-{F}(V19,V20,V21,V0), P_v-{F}(V22,V19,V12,V5,V23), P_r-{F}(V22,V24,V25,V0), P_v-{F}(V24,V20,V13,V6,V26), P_r-{F}(V21,V27,V28,V0), P_v-{F}(V29,V27,V15,V8,V30), P_r-{F}(V25,V29,V31,V0), P_v-{F}(V31,V28,V16,V9,V32), P_r-{F}(V33,V34,V21,V0), P_v-{F}(V35,V33,V17,V10,V36), P_r-{F}(V35,V37,V25,V0), P_v-{F}(V37,V34,V18,V11,V38), P_r-{F}(V36,V39,V40,V1), P_r-{F}(V41,V42,V40,V0), P_m-{F}(V23,V43,V41,V44), P_r-{F}(V43,V45,V40,V0), P_m-{F}(V26,V45,V42,V46), P_r-{F}(V44,V47,V40,V0), P_r-{F}(V40,V48,V49,V0), P_m-{F}(V32,V50,V49,V40), P_r-{F}(V40,V51,V50,V0), P_m-{F}(V30,V51,V48,V52), P_m-{F}(V46,V47,V52,V53), P_m-{F}(V38,V53,V52,V39) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #105: exists( #20, #7 ), references = 3, size of lhs = 1:
% 15.01/15.25 P_v-{F}(V0,V0,V1,V0,V2) | P_v-{T}(V0,V1,V0,V0,V2)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #107: exists( #20, #8 ), references = 3, size of lhs = 1:
% 15.01/15.25 P_v-{F}(V0,V1,V0,V0,V2) | P_v-{T}(V1,V0,V0,V0,V2)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #118: exists( #20, #6 ), references = 1, size of lhs = 1:
% 15.01/15.25 P_v-{F}(V0,V0,V0,V1,V2) | P_v-{T}(V0,V0,V1,V0,V2)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #155: exists( #20, #151 ), references = 1, size of lhs = 58:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V0,V0,V1,V0,V2), P_ifeq-{F}(V0,V0,V2,V0,V3), P_ifeq-{F}(V0,V0,V3,V0,V4), V4 == V0, P_r-{F}(V5,V6,V5,V0), P_r-{F}(V7,V5,V5,V0), P_r-{F}(V8,V5,V5,V1), P_r-{F}(V9,V10,V5,V0), P_r-{F}(V11,V12,V5,V0), P_m-{F}(V13,V11,V9,V5), P_r-{F}(V14,V5,V15,V0), P_r-{F}(V16,V5,V17,V0), P_r-{F}(V18,V5,V19,V0), P_r-{F}(V20,V5,V21,V0), P_m-{F}(V22,V21,V19,V5), P_m-{F}(V23,V17,V15,V22), P_r-{F}(V5,V24,V25,V0), P_r-{F}(V5,V26,V27,V0), P_m-{F}(V28,V12,V10,V29), P_m-{F}(V30,V29,V6,V5), P_m-{F}(V31,V27,V25,V29), P_r-{F}(V32,V33,V29,V0), P_r-{F}(V34,V29,V35,V0), P_r-{F}(V29,V36,V37,V0), P_r-{F}(V38,V39,V5,V0), P_m-{F}(V40,V16,V14,V41), P_m-{F}(V41,V20,V18,V42), P_m-{F}(V43,V38,V42,V7), P_m-{F}(V44,V26,V24,V45), P_r-{F}(V46,V47,V48,V0), P_v-{F}(V49,V50,V46,V32,V13), P_r-{F}(V50,V51,V52,V0), P_v-{F}(V53,V51,V47,V33,V28), P_r-{F}(V49,V53,V54,V0), P_r-{F}(V55,V48,V56,V0), P_v-{F}(V57,V58,V55,V34,V40), P_r-{F}(V58,V52,V59,V0), P_r-{F}(V57,V54,V60,V0), P_v-{F}(V60,V59,V56,V35,V23), P_r-{F}(V48,V61,V62,V0), P_r-{F}(V52,V63,V64,V0), P_v-{F}(V65,V63,V61,V36,V44), P_r-{F}(V54,V65,V66,V0), P_v-{F}(V66,V64,V62,V37,V31), P_r-{F}(V67,V68,V48,V0), P_r-{F}(V69,V48,V67,V0), P_r-{F}(V70,V71,V67,V0), P_v-{F}(V72,V73,V70,V5,V43), P_r-{F}(V73,V74,V75,V0), P_v-{F}(V76,V74,V71,V29,V39), P_r-{F}(V72,V76,V77,V0), P_r-{F}(V75,V78,V52,V0), P_v-{F}(V79,V78,V68,V45,V30), P_r-{F}(V77,V79,V54,V0), P_r-{F}(V80,V52,V75,V0), P_v-{F}(V81,V80,V69,V5,V8), P_r-{F}(V81,V54,V77,V0) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #156: exists( #20, #152 ), references = 1, size of lhs = 58:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V0,V0,V1,V0,V2), P_ifeq-{F}(V0,V0,V2,V0,V3), P_ifeq-{F}(V0,V0,V3,V0,V4), V4 == V0, P_r-{F}(V5,V6,V5,V0), P_r-{F}(V7,V5,V5,V0), P_r-{F}(V8,V5,V5,V1), P_r-{F}(V9,V10,V5,V0), P_r-{F}(V11,V12,V5,V0), P_m-{F}(V13,V11,V9,V5), P_r-{F}(V14,V5,V15,V0), P_r-{F}(V16,V5,V17,V0), P_r-{F}(V18,V5,V19,V0), P_r-{F}(V20,V5,V21,V0), P_m-{F}(V22,V21,V19,V5), P_m-{F}(V23,V17,V15,V22), P_r-{F}(V5,V24,V25,V0), P_r-{F}(V5,V26,V27,V0), P_m-{F}(V28,V12,V10,V29), P_m-{F}(V30,V29,V6,V5), P_m-{F}(V31,V27,V25,V29), P_r-{F}(V32,V33,V29,V0), P_r-{F}(V34,V29,V35,V0), P_r-{F}(V29,V36,V37,V0), P_r-{F}(V38,V39,V5,V0), P_m-{F}(V40,V16,V14,V41), P_m-{F}(V41,V20,V18,V42), P_m-{F}(V43,V38,V42,V7), P_m-{F}(V44,V26,V24,V45), P_r-{F}(V46,V47,V48,V0), P_v-{F}(V49,V50,V46,V32,V13), P_r-{F}(V50,V51,V52,V0), P_v-{F}(V53,V51,V47,V33,V28), P_r-{F}(V49,V53,V54,V0), P_r-{F}(V55,V48,V56,V0), P_v-{F}(V57,V58,V55,V34,V40), P_r-{F}(V58,V52,V59,V0), P_r-{F}(V57,V54,V60,V0), P_v-{F}(V60,V59,V56,V35,V23), P_r-{F}(V48,V61,V62,V0), P_r-{F}(V52,V63,V64,V0), P_v-{F}(V65,V63,V61,V36,V44), P_r-{F}(V54,V65,V66,V0), P_v-{F}(V66,V64,V62,V37,V31), P_r-{F}(V67,V68,V48,V0), P_r-{F}(V69,V48,V67,V0), P_r-{F}(V70,V71,V67,V0), P_v-{F}(V72,V73,V70,V5,V43), P_r-{F}(V73,V74,V75,V0), P_v-{F}(V76,V74,V71,V29,V39), P_r-{F}(V72,V76,V77,V0), P_r-{F}(V75,V78,V52,V0), P_v-{F}(V79,V78,V68,V45,V30), P_r-{F}(V77,V79,V54,V0), P_r-{F}(V80,V52,V75,V0), P_v-{F}(V81,V80,V69,V5,V8), P_r-{F}(V81,V54,V77,V0) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #179: exists( #19, #175 ), references = 2, size of lhs = 44:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V0,V0,V1,V0,V2), P_ifeq-{F}(V0,V0,V2,V0,V3), P_ifeq-{F}(V0,V0,V3,V0,V4), V4 == V0, P_r-{F}(V5,V5,V6,V0), P_r-{F}(V5,V6,V5,V0), P_r-{F}(V6,V5,V5,V0), P_r-{F}(V5,V7,V5,V0), P_r-{F}(V5,V5,V8,V0), P_r-{F}(V5,V5,V9,V0), P_r-{F}(V10,V5,V5,V1), P_r-{F}(V5,V5,V11,V0), P_r-{F}(V5,V11,V5,V0), P_r-{F}(V11,V5,V5,V0), P_r-{F}(V11,V5,V12,V0), P_r-{F}(V5,V12,V11,V0), P_r-{F}(V12,V5,V11,V0), P_r-{F}(V5,V11,V13,V0), P_r-{F}(V11,V13,V5,V0), P_r-{F}(V13,V11,V5,V0), P_r-{F}(V11,V5,V14,V0), P_r-{F}(V14,V15,V6,V0), P_r-{F}(V16,V6,V14,V0), P_r-{F}(V8,V17,V12,V0), P_r-{F}(V18,V12,V8,V0), P_r-{F}(V9,V19,V13,V0), P_v-{F}(V19,V17,V15,V5,V20), P_m-{F}(V20,V11,V7,V5), P_r-{F}(V21,V13,V9,V0), P_v-{F}(V21,V18,V16,V5,V10), P_r-{F}(V22,V5,V11,V0), P_u-{F}(V23,V22,V5), P_r-{F}(V23,V11,V5,V0), P_r-{F}(V5,V24,V11,V0), P_u-{F}(V25,V24,V5), P_r-{F}(V11,V25,V5,V0), P_r-{F}(V5,V11,V26,V0), P_u-{F}(V27,V26,V5), P_r-{F}(V11,V5,V27,V0), P_r-{F}(V28,V5,V29,V0), P_m-{F}(V11,V30,V29,V5), P_r-{F}(V31,V5,V30,V0), P_m-{F}(V5,V31,V28,V11) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #180: exists( #19, #176 ), references = 2, size of lhs = 44:
% 15.01/15.25 P_true-{F}(V0), P_ifeq-{F}(V0,V0,V1,V0,V2), P_ifeq-{F}(V0,V0,V2,V0,V3), P_ifeq-{F}(V0,V0,V3,V0,V4), V4 == V0, P_r-{F}(V5,V5,V6,V0), P_r-{F}(V5,V6,V5,V0), P_r-{F}(V6,V5,V5,V0), P_r-{F}(V5,V7,V5,V0), P_r-{F}(V5,V5,V8,V0), P_r-{F}(V5,V5,V9,V0), P_r-{F}(V10,V5,V5,V1), P_r-{F}(V5,V5,V11,V0), P_r-{F}(V5,V11,V5,V0), P_r-{F}(V11,V5,V5,V0), P_r-{F}(V11,V5,V12,V0), P_r-{F}(V5,V12,V11,V0), P_r-{F}(V12,V5,V11,V0), P_r-{F}(V5,V11,V13,V0), P_r-{F}(V11,V13,V5,V0), P_r-{F}(V13,V11,V5,V0), P_r-{F}(V11,V5,V14,V0), P_r-{F}(V14,V15,V6,V0), P_r-{F}(V16,V6,V14,V0), P_r-{F}(V8,V17,V12,V0), P_r-{F}(V18,V12,V8,V0), P_r-{F}(V9,V19,V13,V0), P_v-{F}(V19,V17,V15,V5,V20), P_m-{F}(V20,V11,V7,V5), P_r-{F}(V21,V13,V9,V0), P_v-{F}(V21,V18,V16,V5,V10), P_r-{F}(V22,V5,V11,V0), P_u-{F}(V23,V22,V5), P_r-{F}(V23,V11,V5,V0), P_r-{F}(V5,V24,V11,V0), P_u-{F}(V25,V24,V5), P_r-{F}(V11,V25,V5,V0), P_r-{F}(V5,V11,V26,V0), P_u-{F}(V27,V26,V5), P_r-{F}(V11,V5,V27,V0), P_r-{F}(V28,V5,V29,V0), P_m-{F}(V11,V30,V29,V5), P_r-{F}(V31,V5,V30,V0), P_m-{F}(V5,V31,V28,V11) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #185: exists( #21, #181 ), references = 2, size of lhs = 39:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V1,V2,V0), P_r-{F}(V1,V2,V1,V0), P_r-{F}(V2,V1,V1,V0), P_r-{F}(V1,V3,V1,V0), P_r-{F}(V1,V1,V4,V0), P_r-{F}(V1,V1,V5,V0), P_r-{F}(V1,V1,V6,V0), P_r-{F}(V1,V6,V1,V0), P_r-{F}(V6,V1,V1,V0), P_r-{F}(V6,V1,V7,V0), P_r-{F}(V1,V7,V6,V0), P_r-{F}(V7,V1,V6,V0), P_r-{F}(V1,V6,V8,V0), P_r-{F}(V6,V8,V1,V0), P_r-{F}(V8,V6,V1,V0), P_r-{F}(V6,V1,V9,V0), P_r-{F}(V9,V10,V2,V0), P_r-{F}(V11,V2,V9,V0), P_r-{F}(V4,V12,V7,V0), P_r-{F}(V13,V7,V4,V0), P_r-{F}(V5,V14,V8,V0), P_v-{F}(V14,V12,V10,V1,V15), P_m-{F}(V15,V6,V3,V1), P_r-{F}(V16,V8,V5,V0), P_v-{F}(V16,V13,V11,V1,V17), P_r-{F}(V18,V1,V6,V0), P_u-{F}(V19,V18,V1), P_r-{F}(V19,V6,V1,V0), P_r-{F}(V1,V20,V6,V0), P_u-{F}(V21,V20,V1), P_r-{F}(V6,V21,V1,V0), P_r-{F}(V1,V6,V22,V0), P_u-{F}(V23,V22,V1), P_r-{F}(V6,V1,V23,V0), P_r-{F}(V24,V1,V25,V0), P_m-{F}(V6,V26,V25,V1), P_r-{F}(V27,V1,V26,V0), P_m-{F}(V1,V27,V24,V6) | P_r-{T}(V17,V1,V1,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #186: exists( #21, #182 ), references = 1, size of lhs = 39:
% 15.01/15.25 P_true-{F}(V0), P_r-{F}(V1,V1,V2,V0), P_r-{F}(V1,V2,V1,V0), P_r-{F}(V2,V1,V1,V0), P_r-{F}(V1,V3,V1,V0), P_r-{F}(V1,V1,V4,V0), P_r-{F}(V1,V1,V5,V0), P_r-{F}(V1,V1,V6,V0), P_r-{F}(V1,V6,V1,V0), P_r-{F}(V6,V1,V1,V0), P_r-{F}(V6,V1,V7,V0), P_r-{F}(V1,V7,V6,V0), P_r-{F}(V7,V1,V6,V0), P_r-{F}(V1,V6,V8,V0), P_r-{F}(V6,V8,V1,V0), P_r-{F}(V8,V6,V1,V0), P_r-{F}(V6,V1,V9,V0), P_r-{F}(V9,V10,V2,V0), P_r-{F}(V11,V2,V9,V0), P_r-{F}(V4,V12,V7,V0), P_r-{F}(V13,V7,V4,V0), P_r-{F}(V5,V14,V8,V0), P_v-{F}(V14,V12,V10,V1,V15), P_m-{F}(V15,V6,V3,V1), P_r-{F}(V16,V8,V5,V0), P_v-{F}(V16,V13,V11,V1,V17), P_r-{F}(V18,V1,V6,V0), P_u-{F}(V19,V18,V1), P_r-{F}(V19,V6,V1,V0), P_r-{F}(V1,V20,V6,V0), P_u-{F}(V21,V20,V1), P_r-{F}(V6,V21,V1,V0), P_r-{F}(V1,V6,V22,V0), P_u-{F}(V23,V22,V1), P_r-{F}(V6,V1,V23,V0), P_r-{F}(V24,V1,V25,V0), P_m-{F}(V6,V26,V25,V1), P_r-{F}(V27,V1,V26,V0), P_m-{F}(V1,V27,V24,V6) | P_r-{T}(V17,V1,V1,V0)
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #199: exists( #24, #197 ), references = 2, size of lhs = 4:
% 15.01/15.25 P_true-{F}(V0), P_a-{F}(V1), P_u-{F}(V1,V1,V1), P_v-{F}(V1,V1,V1,V1,V1) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #203: exists( #23, #201 ), references = 1, size of lhs = 1:
% 15.01/15.25 P_true-{F}(V0) | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 #205: exists( #22, #202 ), references = 1, size of lhs = 0:
% 15.01/15.25 FALSE | FALSE
% 15.01/15.25 (used 0 times, uses = {})
% 15.01/15.25
% 15.01/15.25 number of learnt formulas = 28
% 15.01/15.25
% 15.01/15.25
% 15.01/15.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/15.25
% 15.01/15.25 randbase = 1
%------------------------------------------------------------------------------