TSTP Solution File: ALG071+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% 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 05:57:12 EDT 2022
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.12 % 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 : Fri Jul 22 10:38:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.81 GeoParameters:
% 0.60/0.81
% 0.60/0.81 tptp_input = 1
% 0.60/0.81 tptp_output = 0
% 0.60/0.81 nonempty = 1
% 0.60/0.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.81
% 0.60/0.81 RuleSystem INPUT:
% 0.60/0.81
% 0.60/0.81 Initial Rules:
% 0.60/0.81 #0: input, references = 6, size of lhs = 3:
% 0.60/0.81 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), sorti1-{F}(V1) | sorti1-{T}(V2)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #1: input, references = 3, size of lhs = 3:
% 0.60/0.81 sorti2-{F}(V0), P_op2-{F}(V0,V1,V2), sorti2-{F}(V1) | sorti2-{T}(V2)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #2: input, references = 4, size of lhs = 1:
% 0.60/0.81 sorti1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #3: input, references = 4, size of lhs = 5:
% 0.60/0.81 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V0,V2,V4), V4 == V1 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #4: input, references = 4, size of lhs = 4:
% 0.60/0.81 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V1,V2,V0), P_op1-{F}(V0,V2,V4) | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #5: input, references = 16, size of lhs = 4:
% 0.60/0.81 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V0,V2,V4) | sorti1-{T}(V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #6: input, references = 4, size of lhs = 0:
% 0.60/0.81 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #7: input, references = 4, size of lhs = 6:
% 0.60/0.81 pppp1-{F}(V0), P_op2-{F}(V1,V0,V2), P_op2-{F}(V1,V2,V3), P_op2-{F}(V0,V2,V1), sorti2-{F}(V1), V3 == V0 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #8: input, references = 4, size of lhs = 1:
% 0.60/0.81 pppp1-{F}(V0) | sorti2-{T}(V0)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #9: input, references = 4, size of lhs = 0:
% 0.60/0.81 FALSE | pppp2-{T}()
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #10: input, references = 5, size of lhs = 5:
% 0.60/0.81 pppp2-{F}(), P_h-{F}(V0,V1), P_j-{F}(V1,V2), sorti1-{F}(V0), V2 == V0 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #11: input, references = 4, size of lhs = 5:
% 0.60/0.81 pppp2-{F}(), P_j-{F}(V0,V1), P_h-{F}(V1,V2), sorti2-{F}(V0), V2 == V0 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #12: input, references = 4, size of lhs = 9:
% 0.60/0.81 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0), P_op2-{F}(V0,V2,V3), P_j-{F}(V3,V4), P_j-{F}(V2,V5), P_op1-{F}(V1,V5,V6), sorti2-{F}(V2), V4 == V6 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #13: input, references = 9, size of lhs = 9:
% 0.60/0.81 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5), P_op2-{F}(V1,V5,V6), sorti1-{F}(V2), V4 == V6 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #14: input, references = 4, size of lhs = 3:
% 0.60/0.81 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0) | sorti1-{T}(V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #15: input, references = 5, size of lhs = 3:
% 0.60/0.81 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0) | sorti2-{T}(V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #16: input, references = 15, size of lhs = 2:
% 0.60/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #17: input, references = 10, size of lhs = 2:
% 0.60/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #18: input, references = 6, size of lhs = 1:
% 0.60/0.81 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #19: input, references = 6, size of lhs = 1:
% 0.60/0.81 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 number of initial rules = 20
% 0.60/0.81
% 0.60/0.81 Simplifiers:
% 0.60/0.81 #20: unsound, references = 3, size of lhs = 3:
% 0.60/0.81 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #21: unsound, references = 3, size of lhs = 3:
% 0.60/0.81 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #22: unsound, references = 3, size of lhs = 3:
% 0.60/0.81 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #23: unsound, references = 3, size of lhs = 3:
% 0.60/0.81 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #24: unsound, references = 3, size of lhs = 3:
% 0.60/0.81 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #25: unsound, references = 3, size of lhs = 3:
% 0.60/0.81 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 number of simplifiers = 6
% 0.60/0.81
% 0.60/0.81 Learnt:
% 0.60/0.81 #27: exists( #17, #13 ), references = 1, size of lhs = 7:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti1-{F}(V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5) | P_op2-{T}(V1,V5,V4)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #29: exists( #16, #3 ), references = 1, size of lhs = 4:
% 0.60/0.81 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #31: exists( #16, #28 ), references = 4, size of lhs = 2:
% 0.60/0.81 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2) | P_op1-{T}(V0,V2,V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #37: mergings( V4 == V0; #34 ), references = 1, size of lhs = 7:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), P_j-{F}(V3,V4), V4 == V1 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #40: exists( #16, #38 ), references = 2, size of lhs = 5:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_h-{F}(V1,V2), P_j-{F}(V2,V3), V3 == V1 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #42: exists( #19, #40 ), references = 1, size of lhs = 3:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_h-{F}(V1,V2) | P_j-{T}(V2,V1)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #50: mergings( V5 == V0; #47 ), references = 3, size of lhs = 9:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V1,V3,V2), P_op1-{F}(V2,V0,V4), P_h-{F}(V4,V5), P_j-{F}(V5,V6), V6 == V4 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #52: mergings( V7 == V0; #48 ), references = 5, size of lhs = 13:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V3,V5), P_op1-{F}(V3,V5,V4), P_op1-{F}(V4,V0,V6), P_op1-{F}(V1,V6,V7), P_h-{F}(V7,V8), P_h-{F}(V6,V9), P_op2-{F}(V2,V9,V10), V8 == V10 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #56: exists( #17, #52 ), references = 2, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V3,V5), P_op1-{F}(V3,V5,V4), P_op1-{F}(V4,V0,V6), P_op1-{F}(V1,V6,V7), P_h-{F}(V7,V8), P_h-{F}(V6,V9) | P_op2-{T}(V2,V9,V8)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #58: exists( #19, #50 ), references = 2, size of lhs = 7:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V1,V3,V2), P_op1-{F}(V2,V0,V4), P_h-{F}(V4,V5) | P_j-{T}(V5,V4)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #66: mergings( V4 == V0; #62 ), references = 1, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), pppp0-{F}(V3,V4), P_op1-{F}(V4,V3,V5), P_op1-{F}(V3,V5,V4), P_op1-{F}(V4,V1,V6), P_h-{F}(V6,V7), P_j-{F}(V7,V8), V8 == V6 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #68: mergings( V6 == V0; #63 ), references = 1, size of lhs = 15:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V4,V3), pppp0-{F}(V5,V6), P_op1-{F}(V6,V5,V7), P_op1-{F}(V5,V7,V6), P_op1-{F}(V6,V3,V8), P_op1-{F}(V0,V8,V9), P_h-{F}(V9,V10), P_h-{F}(V8,V11), P_op2-{F}(V1,V11,V12), V10 == V12 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #73: exists( #16, #69 ), references = 1, size of lhs = 6:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V1,V2), P_h-{F}(V2,V3), P_j-{F}(V3,V4), V4 == V2 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #74: exists( #16, #70 ), references = 2, size of lhs = 10:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V3,V4), P_op1-{F}(V0,V4,V5), P_h-{F}(V5,V6), P_h-{F}(V4,V7), P_op2-{F}(V1,V7,V8), V6 == V8 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #80: mergings( V6 == V0; #78 ), references = 2, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V4,V3), P_op1-{F}(V0,V3,V5), P_h-{F}(V5,V6), P_h-{F}(V3,V7), P_op2-{F}(V1,V7,V8), V6 == V8 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #83: mergings( V7 == V5; #81 ), references = 1, size of lhs = 9:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V4,V3), P_op1-{F}(V0,V3,V5), P_h-{F}(V5,V6), P_h-{F}(V3,V7) | P_op2-{T}(V1,V7,V6)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #91: mergings( V6 == V0; #87 ), references = 2, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V4,V3), P_h-{F}(V3,V5), P_op1-{F}(V3,V0,V6), P_h-{F}(V6,V7), P_op2-{F}(V5,V1,V8), V7 == V8 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #93: mergings( V4 == V0; #88 ), references = 1, size of lhs = 12:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V5,V6), P_op1-{F}(V1,V6,V7), P_h-{F}(V7,V8), P_h-{F}(V6,V9), P_op2-{F}(V3,V9,V10), V8 == V10 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #95: mergings( V4 == V0; #89 ), references = 1, size of lhs = 14:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V4,V6), P_op1-{F}(V4,V6,V5), P_op1-{F}(V5,V1,V7), P_op1-{F}(V1,V7,V8), P_h-{F}(V8,V9), P_h-{F}(V7,V10), P_op2-{F}(V3,V10,V11), V9 == V11 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #100: mergings( V7 == V5; #96 ), references = 2, size of lhs = 9:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V4,V3), P_h-{F}(V3,V5), P_op1-{F}(V3,V0,V6), P_h-{F}(V6,V7) | P_op2-{T}(V5,V1,V7)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #102: mergings( V6 == V4; #97 ), references = 1, size of lhs = 10:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V5,V6), P_op1-{F}(V1,V6,V7), P_h-{F}(V7,V8), P_h-{F}(V6,V9) | P_op2-{T}(V3,V9,V8)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #104: mergings( V6 == V4; #98 ), references = 1, size of lhs = 12:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V4,V6), P_op1-{F}(V4,V6,V5), P_op1-{F}(V5,V1,V7), P_op1-{F}(V1,V7,V8), P_h-{F}(V8,V9), P_h-{F}(V7,V10) | P_op2-{T}(V3,V10,V9)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #113: mergings( V5 == V8, V4 == V0; #108 ), references = 1, size of lhs = 9:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_op1-{F}(V1,V1,V3), P_h-{F}(V3,V4), P_h-{F}(V1,V5), P_op2-{F}(V5,V5,V6), V4 == V6 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #115: mergings( V4 == V0; #109 ), references = 1, size of lhs = 13:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V4,V6), P_op1-{F}(V4,V6,V5), P_op1-{F}(V1,V5,V7), P_h-{F}(V7,V8), P_h-{F}(V5,V9), P_op2-{F}(V3,V9,V10), V8 == V10 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #117: mergings( V4 == V0; #110 ), references = 1, size of lhs = 13:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V4,V6), P_op1-{F}(V4,V6,V5), P_h-{F}(V5,V7), P_op1-{F}(V5,V1,V8), P_h-{F}(V8,V9), P_op2-{F}(V7,V3,V10), V9 == V10 | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #123: mergings( V0 == V1, V6 == V4; #118 ), references = 1, size of lhs = 7:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_op1-{F}(V1,V1,V3), P_h-{F}(V3,V4), P_h-{F}(V1,V5) | P_op2-{T}(V5,V5,V4)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #125: mergings( V6 == V4; #119 ), references = 1, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V4,V6), P_op1-{F}(V4,V6,V5), P_op1-{F}(V1,V5,V7), P_h-{F}(V7,V8), P_h-{F}(V5,V9) | P_op2-{T}(V3,V9,V8)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #127: mergings( V6 == V4; #120 ), references = 1, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V2,V1), P_h-{F}(V1,V3), pppp0-{F}(V4,V5), P_op1-{F}(V5,V4,V6), P_op1-{F}(V4,V6,V5), P_h-{F}(V5,V7), P_op1-{F}(V5,V1,V8), P_h-{F}(V8,V9) | P_op2-{T}(V7,V3,V9)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #137: exists( #17, #13 ), references = 1, size of lhs = 7:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti1-{F}(V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5) | P_op2-{T}(V1,V5,V4)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #138: exists( #17, #52 ), references = 1, size of lhs = 11:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V3,V5), P_op1-{F}(V3,V5,V4), P_op1-{F}(V4,V0,V6), P_op1-{F}(V1,V6,V7), P_h-{F}(V7,V8), P_h-{F}(V6,V9) | P_op2-{T}(V2,V9,V8)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #144: exists( #17, #7 ), references = 1, size of lhs = 4:
% 0.60/0.81 pppp1-{F}(V0), sorti2-{F}(V1), P_op2-{F}(V1,V0,V2), P_op2-{F}(V0,V2,V1) | P_op2-{T}(V1,V2,V0)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #152: mergings( V7 == V0; #150 ), references = 1, size of lhs = 14:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), pppp1-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V3,V5), P_op1-{F}(V3,V5,V4), P_op1-{F}(V4,V0,V6), P_h-{F}(V4,V7), P_j-{F}(V7,V4), P_h-{F}(V6,V8), P_op2-{F}(V7,V1,V8), P_op2-{F}(V1,V8,V7), P_j-{F}(V8,V5) | P_op1-{T}(V4,V5,V2)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #161: mergings( V13 == V9, V11 == V9, V9 == V18; #157 ), references = 1, size of lhs = 33:
% 0.60/0.81 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp1-{F}(V2), sorti1-{F}(V3), sorti1-{F}(V4), P_h-{F}(V4,V2), sorti1-{F}(V5), P_j-{F}(V2,V6), pppp0-{F}(V6,V7), pppp0-{F}(V8,V7), P_op1-{F}(V7,V8,V9), P_op1-{F}(V7,V6,V9), P_op1-{F}(V7,V5,V9), P_op1-{F}(V8,V9,V7), P_op1-{F}(V6,V9,V7), P_op1-{F}(V7,V1,V9), P_op1-{F}(V4,V9,V10), P_h-{F}(V10,V11), P_j-{F}(V11,V7), P_h-{F}(V7,V11), pppp0-{F}(V12,V7), P_op1-{F}(V7,V12,V13), P_op1-{F}(V12,V13,V7), P_op1-{F}(V14,V0,V9), pppp0-{F}(V15,V14), P_op1-{F}(V14,V15,V16), P_op1-{F}(V15,V16,V14), P_op1-{F}(V17,V3,V9), pppp0-{F}(V18,V17), P_op1-{F}(V17,V18,V19), P_op1-{F}(V18,V19,V17) | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #164: exists( #16, #162 ), references = 1, size of lhs = 8:
% 0.60/0.81 pppp2-{F}(), pppp1-{F}(V0), P_j-{F}(V0,V1), P_h-{F}(V1,V0), sorti1-{F}(V1), pppp0-{F}(V1,V2), P_h-{F}(V2,V3), P_j-{F}(V3,V2) | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #167: exists( #18, #165 ), references = 1, size of lhs = 7:
% 0.60/0.81 pppp2-{F}(), pppp1-{F}(V0), P_j-{F}(V0,V1), P_h-{F}(V1,V0), sorti1-{F}(V1), pppp0-{F}(V1,V2), pppp0-{F}(V3,V2) | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #169: exists( #2, #166 ), references = 2, size of lhs = 5:
% 0.60/0.81 pppp2-{F}(), pppp1-{F}(V0), P_j-{F}(V0,V1), P_h-{F}(V1,V0), sorti1-{F}(V1) | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #172: exists( #18, #11 ), references = 1, size of lhs = 3:
% 0.60/0.81 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1) | P_h-{T}(V1,V0)
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #176: exists( #19, #174 ), references = 1, size of lhs = 3:
% 0.60/0.81 pppp2-{F}(), sorti2-{F}(V0), pppp1-{F}(V0) | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #179: exists( #6, #177 ), references = 1, size of lhs = 1:
% 0.60/0.81 pppp2-{F}() | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 #181: #9+#178, references = 1, size of lhs = 0:
% 0.60/0.81 FALSE | FALSE
% 0.60/0.81 (used 0 times, uses = {})
% 0.60/0.81
% 0.60/0.81 number of learnt formulas = 40
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.81
% 0.60/0.81 randbase = 1
%------------------------------------------------------------------------------