TSTP Solution File: ALG178+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 05:57:19 EDT 2022
% Result : Theorem 0.54s 0.73s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 10:56:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.73 GeoParameters:
% 0.54/0.73
% 0.54/0.73 tptp_input = 1
% 0.54/0.73 tptp_output = 0
% 0.54/0.73 nonempty = 1
% 0.54/0.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.54/0.73
% 0.54/0.73
% 0.54/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73
% 0.54/0.73 RuleSystem INPUT:
% 0.54/0.73
% 0.54/0.73 Initial Rules:
% 0.54/0.73 #0: input, references = 3, size of lhs = 3:
% 0.54/0.73 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), sorti1-{F}(V1) | sorti1-{T}(V2)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #1: input, references = 5, size of lhs = 3:
% 0.54/0.73 sorti2-{F}(V0), P_op2-{F}(V0,V1,V2), sorti2-{F}(V1) | sorti2-{T}(V2)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #2: input, references = 6, size of lhs = 5:
% 0.54/0.73 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V2,V3), sorti1-{F}(V1), V3 == V1 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #3: input, references = 4, size of lhs = 0:
% 0.54/0.73 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #4: input, references = 4, size of lhs = 1:
% 0.54/0.73 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #5: input, references = 4, size of lhs = 1:
% 0.54/0.73 pppp1-{F}(V0) | sorti2-{T}(V0)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #6: input, references = 4, size of lhs = 3:
% 0.54/0.73 pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V2,V1) | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #7: input, references = 15, size of lhs = 3:
% 0.54/0.73 pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V2,V3) | sorti2-{T}(V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #8: input, references = 4, size of lhs = 0:
% 0.54/0.73 FALSE | pppp2-{T}()
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #9: input, references = 3, size of lhs = 5:
% 0.54/0.73 pppp2-{F}(), P_h-{F}(V0,V1), P_j-{F}(V1,V2), sorti1-{F}(V0), V2 == V0 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #10: input, references = 6, size of lhs = 5:
% 0.54/0.73 pppp2-{F}(), P_j-{F}(V0,V1), P_h-{F}(V1,V2), sorti2-{F}(V0), V2 == V0 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #11: input, references = 7, size of lhs = 9:
% 0.54/0.73 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
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #12: input, references = 7, size of lhs = 9:
% 0.54/0.73 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
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #13: input, references = 9, size of lhs = 3:
% 0.54/0.73 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0) | sorti1-{T}(V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #14: input, references = 3, size of lhs = 3:
% 0.54/0.73 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0) | sorti2-{T}(V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #15: input, references = 7, size of lhs = 2:
% 0.54/0.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #16: input, references = 15, size of lhs = 2:
% 0.54/0.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #17: input, references = 6, size of lhs = 1:
% 0.54/0.73 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #18: input, references = 7, size of lhs = 1:
% 0.54/0.73 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 number of initial rules = 19
% 0.54/0.73
% 0.54/0.73 Simplifiers:
% 0.54/0.73 #19: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #20: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #21: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #22: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #23: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #24: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #25: unsound, references = 3, size of lhs = 3:
% 0.54/0.73 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 number of simplifiers = 7
% 0.54/0.73
% 0.54/0.73 Learnt:
% 0.54/0.73 #27: exists( #17, #10 ), references = 2, size of lhs = 3:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1) | P_h-{T}(V1,V0)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #30: exists( #16, #28 ), references = 1, size of lhs = 6:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_j-{F}(V1,V3), P_h-{F}(V3,V4), V4 == V1 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #32: exists( #16, #29 ), references = 2, size of lhs = 5:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_j-{F}(V1,V2), P_h-{F}(V2,V3), V3 == V1 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #34: exists( #16, #12 ), references = 1, size of lhs = 7:
% 0.54/0.73 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)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #36: exists( #17, #32 ), references = 1, size of lhs = 3:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_j-{F}(V1,V2) | P_h-{T}(V2,V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #39: exists( #16, #37 ), references = 2, size of lhs = 10:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_op2-{F}(V0,V3,V5), P_j-{F}(V5,V6), P_j-{F}(V3,V7), P_op1-{F}(V1,V7,V8), V6 == V8 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #41: exists( #15, #38 ), references = 2, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_op2-{F}(V0,V3,V5), P_j-{F}(V5,V6), P_j-{F}(V3,V7) | P_op1-{T}(V1,V7,V6)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #51: exists( #16, #45 ), references = 3, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_op2-{F}(V0,V2,V4), P_j-{F}(V4,V5), P_h-{F}(V5,V6), V6 == V4 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #53: mergings( V9 == V5; #49 ), references = 2, size of lhs = 11:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_h-{F}(V5,V3), P_op1-{F}(V0,V5,V6), P_h-{F}(V6,V7), P_op2-{F}(V1,V3,V8), V7 == V8 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #54: exists( #16, #47 ), references = 2, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_j-{F}(V2,V4), P_op1-{F}(V0,V4,V5), P_op1-{F}(V0,V5,V6), V6 == V4 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #59: exists( #17, #51 ), references = 2, size of lhs = 6:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_op2-{F}(V0,V2,V4), P_j-{F}(V4,V5) | P_h-{T}(V5,V4)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #60: exists( #17, #53 ), references = 1, size of lhs = 9:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_h-{F}(V5,V3), P_op1-{F}(V0,V5,V6), P_op2-{F}(V1,V3,V7) | P_h-{T}(V6,V7)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #68: mergings( V0 == V4, V3 == V5, V1 == V6; #63 ), references = 2, size of lhs = 7:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V1,V3), P_j-{F}(V3,V4), P_h-{F}(V4,V5), V5 == V3 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #74: mergings( V4 == V7; #71 ), references = 1, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V1,V3), P_j-{F}(V3,V4), P_j-{F}(V1,V5), P_op1-{F}(V5,V5,V6), V4 == V6 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #79: mergings( V0 == V5, V3 == V6, V1 == V7, V4 == V10; #72 ), references = 1, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V1,V3), P_j-{F}(V3,V4), P_j-{F}(V1,V5), P_op1-{F}(V5,V5,V6), V4 == V6 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #83: mergings( V0 == V1; #80 ), references = 2, size of lhs = 6:
% 0.54/0.73 pppp2-{F}(), pppp0-{F}(V0,V1), P_op2-{F}(V0,V1,V2), P_op2-{F}(V1,V1,V3), P_j-{F}(V3,V4), P_j-{F}(V1,V5) | P_op1-{T}(V5,V5,V4)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #95: mergings( V7 == V5; #92 ), references = 1, size of lhs = 11:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_h-{F}(V5,V3), P_op1-{F}(V5,V0,V6), P_h-{F}(V6,V7), P_op2-{F}(V3,V1,V8), V7 == V8 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #96: exists( #16, #91 ), references = 2, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_j-{F}(V2,V4), P_op1-{F}(V4,V0,V5), P_op1-{F}(V4,V5,V6), V6 == V0 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #99: exists( #16, #97 ), references = 1, size of lhs = 10:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_op2-{F}(V3,V0,V6), P_j-{F}(V6,V7), P_op1-{F}(V5,V1,V8), V7 == V8 | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #101: exists( #15, #98 ), references = 1, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_j-{F}(V3,V5), P_op2-{F}(V3,V0,V6), P_j-{F}(V6,V7) | P_op1-{T}(V5,V1,V7)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #109: mergings( V5 == V8, V4 == V7, V6 == V9; #105 ), references = 1, size of lhs = 7:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), P_op1-{F}(V1,V0,V1), P_j-{F}(V2,V1), P_op2-{F}(V2,V2,V3), pppp0-{F}(V4,V2), P_op2-{F}(V4,V2,V5) | P_j-{T}(V3,V0)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #118: mergings( V8 == V5, V7 == V0, V9 == V6, V5 == V10, V6 == V11; #112 ), references = 1, size of lhs = 7:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), P_op1-{F}(V2,V0,V2), P_j-{F}(V3,V2), pppp0-{F}(V4,V3), P_op2-{F}(V4,V3,V5) | P_op2-{T}(V3,V3,V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #131: exists( #15, #54 ), references = 1, size of lhs = 6:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op2-{F}(V1,V2,V3), P_j-{F}(V2,V4), P_op1-{F}(V0,V4,V5) | P_op1-{T}(V0,V5,V4)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #132: exists( #15, #11 ), references = 1, size of lhs = 7:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), sorti2-{F}(V2), P_op2-{F}(V0,V2,V3), P_j-{F}(V3,V4), P_j-{F}(V2,V5) | P_op1-{T}(V1,V5,V4)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #133: exists( #15, #2 ), references = 1, size of lhs = 3:
% 0.54/0.73 sorti1-{F}(V0), sorti1-{F}(V1), P_op1-{F}(V0,V1,V2) | P_op1-{T}(V0,V2,V1)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #140: exists( #16, #138 ), references = 1, size of lhs = 11:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V2,V3), P_op2-{F}(V2,V3,V4), P_op2-{F}(V0,V3,V5), P_j-{F}(V5,V6), P_h-{F}(V6,V4), P_op1-{F}(V1,V6,V7), P_h-{F}(V7,V8) | P_op2-{T}(V2,V4,V8)
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #156: mergings( V7 == V8, V6 == V10, V8 == V9, V0 == V11, V10 == V13, V9 == V12, V11 == V14, V13 == V17, V12 == V16, V14 == V18; #145 ), references = 1, size of lhs = 14:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V2), sorti1-{F}(V2), sorti2-{F}(V3), P_h-{F}(V2,V4), pppp0-{F}(V4,V5), P_op2-{F}(V3,V5,V6), P_op2-{F}(V0,V5,V6), P_op2-{F}(V1,V5,V6), P_op2-{F}(V4,V5,V6), P_j-{F}(V5,V7), P_h-{F}(V7,V5) | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #158: exists( #16, #145 ), references = 1, size of lhs = 8:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V0), P_h-{F}(V0,V1), pppp0-{F}(V1,V2), P_j-{F}(V2,V3), P_h-{F}(V3,V2) | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #162: mergings( V3 == V4; #160 ), references = 2, size of lhs = 6:
% 0.54/0.73 pppp2-{F}(), sorti1-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V0), P_h-{F}(V0,V1), pppp0-{F}(V1,V2) | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #167: exists( #18, #165 ), references = 1, size of lhs = 3:
% 0.54/0.73 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V0,V1) | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #169: exists( #4, #166 ), references = 1, size of lhs = 3:
% 0.54/0.73 pppp2-{F}(), pppp1-{F}(V0), sorti2-{F}(V0) | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #172: exists( #3, #170 ), references = 1, size of lhs = 1:
% 0.54/0.73 pppp2-{F}() | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 #174: #8+#171, references = 1, size of lhs = 0:
% 0.54/0.73 FALSE | FALSE
% 0.54/0.73 (used 0 times, uses = {})
% 0.54/0.73
% 0.54/0.73 number of learnt formulas = 33
% 0.54/0.73
% 0.54/0.73
% 0.54/0.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73
% 0.54/0.73 randbase = 1
%------------------------------------------------------------------------------