TSTP Solution File: KLE064+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE064+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:07:03 EDT 2022
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE064+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 16:43:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.93 GeoParameters:
% 0.76/0.93
% 0.76/0.93 tptp_input = 1
% 0.76/0.93 tptp_output = 0
% 0.76/0.93 nonempty = 1
% 0.76/0.93 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93
% 0.76/0.93 RuleSystem INPUT:
% 0.76/0.93
% 0.76/0.93 Initial Rules:
% 0.76/0.93 #0: input, references = 5, size of lhs = 3:
% 0.76/0.93 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #1: input, references = 4, size of lhs = 5:
% 0.76/0.93 P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #2: input, references = 3, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #3: input, references = 4, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #4: input, references = 3, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #5: input, references = 4, size of lhs = 4:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #6: input, references = 4, size of lhs = 4:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #7: input, references = 4, size of lhs = 8:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #8: input, references = 5, size of lhs = 8:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #9: input, references = 4, size of lhs = 4:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #10: input, references = 4, size of lhs = 4:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #11: input, references = 3, size of lhs = 5:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #12: input, references = 3, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #13: input, references = 5, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #14: input, references = 3, size of lhs = 8:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_multiplication-{F}(V2,V6,V7), P_domain-{F}(V7,V8), V5 == V8 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #15: input, references = 4, size of lhs = 5:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #16: input, references = 4, size of lhs = 4:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #17: input, references = 3, size of lhs = 9:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_domain-{F}(V3,V7), P_domain-{F}(V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #18: input, references = 4, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp1-{T}(V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #19: input, references = 5, size of lhs = 1:
% 0.76/0.93 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #20: input, references = 6, size of lhs = 6:
% 0.76/0.93 pppp0-{F}(V0,V1), P_domain-{F}(V0,V2), P_domain-{F}(V1,V3), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V0,V5,V5) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #21: input, references = 5, size of lhs = 7:
% 0.76/0.93 pppp0-{F}(V0,V1), P_domain-{F}(V0,V2), P_domain-{F}(V1,V3), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V0,V5,V6), V4 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #22: input, references = 8, size of lhs = 2:
% 0.76/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #23: input, references = 4, size of lhs = 0:
% 0.76/0.93 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #24: input, references = 9, size of lhs = 2:
% 0.76/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #25: input, references = 4, size of lhs = 0:
% 0.76/0.93 FALSE | EXISTS V0: P_one-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #26: input, references = 10, size of lhs = 1:
% 0.76/0.93 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of initial rules = 27
% 0.76/0.93
% 0.76/0.93 Simplifiers:
% 0.76/0.93 #27: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #28: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #29: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #30: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #31: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #32: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #33: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #34: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of simplifiers = 8
% 0.76/0.93
% 0.76/0.93 Learnt:
% 0.76/0.93 #36: exists( #22, #3 ), references = 3, size of lhs = 2:
% 0.76/0.93 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #39: exists( #24, #5 ), references = 2, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #40: exists( #24, #6 ), references = 4, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #42: exists( #22, #13 ), references = 4, size of lhs = 4:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V2,V4,V4)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #45: exists( #26, #16 ), references = 1, size of lhs = 2:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #50: exists( #22, #15 ), references = 5, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #51: exists( #22, #0 ), references = 7, size of lhs = 1:
% 0.76/0.93 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #59: mergings( V2 == V3, V3 == V4, V0 == V5; #55 ), references = 1, size of lhs = 2:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #61: exists( #24, #10 ), references = 3, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #63: exists( #22, #8 ), references = 7, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V2,V5,V7), P_multiplication-{F}(V3,V5,V8) | P_addition-{T}(V7,V8,V6)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #74: mergings( V3 == V5, V4 == V6; #69 ), references = 2, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #77: mergings( V3 == V5, V4 == V6; #70 ), references = 1, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V3,V5,V6) | P_multiplication-{T}(V3,V2,V6)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #81: mergings( V3 == V4, V4 == V6, V5 == V7; #71 ), references = 1, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V2), P_addition-{F}(V5,V3,V4), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V3,V2,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #83: exists( #24, #9 ), references = 2, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #95: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #88 ), references = 1, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), pppp0-{F}(V0,V2) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #103: mergings( V0 == V2, V2 == V4, V4 == V7, V3 == V5, V5 == V6, V6 == V8; #96 ), references = 1, size of lhs = 6:
% 0.76/0.93 pppp1-{F}(V0), P_addition-{F}(V0,V0,V0), P_domain-{F}(V0,V0), P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #113: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #108 ), references = 1, size of lhs = 7:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), pppp0-{F}(V3,V2), P_multiplication-{F}(V0,V3,V4), P_addition-{F}(V3,V4,V5) | P_domain-{T}(V3,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #117: exists( #26, #115 ), references = 1, size of lhs = 6:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp0-{F}(V3,V2), P_multiplication-{F}(V1,V3,V4), P_addition-{F}(V3,V4,V4) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #121: exists( #24, #119 ), references = 1, size of lhs = 10:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V3,V5), P_domain-{F}(V4,V6), P_addition-{F}(V5,V6,V7), V7 == V6, P_addition-{F}(V6,V2,V8), P_multiplication-{F}(V8,V3,V9) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #124: exists( #22, #122 ), references = 1, size of lhs = 8:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V3,V5), P_domain-{F}(V4,V6), P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V3,V8) | P_addition-{T}(V5,V6,V6)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #129: mergings( V3 == V5, V4 == V6; #126 ), references = 1, size of lhs = 7:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_multiplication-{F}(V3,V6,V8) | P_multiplication-{T}(V2,V6,V7)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #146: mergings( V2 == V4, V4 == V6, V6 == V8, V10 == V12, V14 == V15, V3 == V5, V5 == V7, V7 == V9, V12 == V13, V13 == V15; #135 ), references = 1, size of lhs = 7:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V2), P_addition-{F}(V2,V2,V2), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V2), pppp0-{F}(V2,V4) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #164: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V0 == V15, V15 == V16, V16 == V17, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #150 ), references = 1, size of lhs = 5:
% 0.76/0.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V2), P_addition-{F}(V2,V2,V2), pppp0-{F}(V2,V3) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #179: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V0 == V15, V14 == V15, V15 == V16, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #165 ), references = 1, size of lhs = 5:
% 0.76/0.93 pppp1-{F}(V0), P_addition-{F}(V0,V0,V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V2,V0,V0) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #196: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #182 ), references = 1, size of lhs = 3:
% 0.76/0.93 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #207: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #198 ), references = 1, size of lhs = 1:
% 0.76/0.93 P_zero-{F}(V0) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #209: exists( #23, #198 ), references = 1, size of lhs = 0:
% 0.76/0.93 FALSE | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of learnt formulas = 27
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93
% 0.76/0.93 randbase = 1
%------------------------------------------------------------------------------