TSTP Solution File: KLE063+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE063+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:07:02 EDT 2022
% Result : Theorem 3.50s 3.68s
% Output : Refutation 3.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE063+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 16:45:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.50/3.68 GeoParameters:
% 3.50/3.68
% 3.50/3.68 tptp_input = 1
% 3.50/3.68 tptp_output = 0
% 3.50/3.68 nonempty = 1
% 3.50/3.68 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/3.68 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.50/3.68
% 3.50/3.68
% 3.50/3.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/3.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/3.68
% 3.50/3.68 RuleSystem INPUT:
% 3.50/3.68
% 3.50/3.68 Initial Rules:
% 3.50/3.68 #0: input, references = 5, size of lhs = 3:
% 3.50/3.68 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #1: input, references = 5, size of lhs = 5:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #2: input, references = 3, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #3: input, references = 4, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #4: input, references = 3, size of lhs = 6:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #5: input, references = 4, size of lhs = 4:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #6: input, references = 4, size of lhs = 4:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #7: input, references = 7, size of lhs = 8:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #8: input, references = 4, size of lhs = 8:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #9: input, references = 4, size of lhs = 4:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #10: input, references = 4, size of lhs = 4:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #11: input, references = 3, size of lhs = 5:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #12: input, references = 3, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #13: input, references = 5, size of lhs = 6:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #14: input, references = 6, size of lhs = 8:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #15: input, references = 4, size of lhs = 5:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #16: input, references = 4, size of lhs = 4:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #17: input, references = 7, size of lhs = 9:
% 3.50/3.68 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
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #18: input, references = 4, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp1-{T}(V3)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #19: input, references = 5, size of lhs = 1:
% 3.50/3.68 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #20: input, references = 8, size of lhs = 6:
% 3.50/3.68 pppp0-{F}(V0,V1), P_domain-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), P_addition-{F}(V0,V3,V4), P_domain-{F}(V0,V5), P_addition-{F}(V5,V2,V2) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #21: input, references = 5, size of lhs = 7:
% 3.50/3.68 pppp0-{F}(V0,V1), P_domain-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), P_addition-{F}(V0,V3,V4), P_domain-{F}(V0,V5), P_addition-{F}(V5,V2,V6), V4 == V3 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #22: input, references = 14, size of lhs = 2:
% 3.50/3.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #23: input, references = 4, size of lhs = 0:
% 3.50/3.68 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #24: input, references = 10, size of lhs = 2:
% 3.50/3.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #25: input, references = 4, size of lhs = 0:
% 3.50/3.68 FALSE | EXISTS V0: P_one-{T}(V0)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #26: input, references = 17, size of lhs = 1:
% 3.50/3.68 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 number of initial rules = 27
% 3.50/3.68
% 3.50/3.68 Simplifiers:
% 3.50/3.68 #27: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #28: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #29: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #30: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #31: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #32: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #33: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #34: unsound, references = 3, size of lhs = 3:
% 3.50/3.68 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 number of simplifiers = 8
% 3.50/3.68
% 3.50/3.68 Learnt:
% 3.50/3.68 #36: exists( #22, #3 ), references = 4, size of lhs = 2:
% 3.50/3.68 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #39: exists( #24, #5 ), references = 6, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #40: exists( #24, #6 ), references = 8, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #42: exists( #22, #13 ), references = 4, size of lhs = 4:
% 3.50/3.68 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)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #45: exists( #26, #16 ), references = 1, size of lhs = 2:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #50: exists( #22, #15 ), references = 8, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #51: exists( #22, #0 ), references = 10, size of lhs = 1:
% 3.50/3.68 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #59: mergings( V2 == V3, V3 == V4, V0 == V5; #55 ), references = 1, size of lhs = 2:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #61: exists( #24, #10 ), references = 4, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #63: exists( #22, #8 ), references = 7, size of lhs = 6:
% 3.50/3.68 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)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #74: mergings( V3 == V5, V4 == V6; #69 ), references = 1, size of lhs = 6:
% 3.50/3.68 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)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #77: mergings( V3 == V5, V4 == V6; #70 ), references = 1, size of lhs = 6:
% 3.50/3.68 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)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #81: mergings( V3 == V4, V4 == V6, V5 == V7; #71 ), references = 1, size of lhs = 6:
% 3.50/3.68 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)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #83: exists( #24, #9 ), references = 3, size of lhs = 3:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #95: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #88 ), references = 1, size of lhs = 6:
% 3.50/3.68 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), pppp0-{F}(V0,V2), P_addition-{F}(V0,V0,V3) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #103: mergings( V0 == V2, V2 == V4, V4 == V7, V3 == V5, V5 == V6, V6 == V8; #96 ), references = 1, size of lhs = 6:
% 3.50/3.68 pppp1-{F}(V0), P_domain-{F}(V0,V0), P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_addition-{F}(V0,V0,V2) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #113: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #108 ), references = 1, size of lhs = 8:
% 3.50/3.68 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), V5 == V4 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #116: exists( #26, #114 ), references = 1, size of lhs = 6:
% 3.50/3.68 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,V5) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #120: exists( #24, #118 ), references = 5, size of lhs = 9:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_addition-{F}(V6,V5,V7), P_addition-{F}(V5,V2,V8), P_multiplication-{F}(V8,V3,V9) | P_multiplication-{T}(V5,V3,V9)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #126: mergings( V3 == V5, V4 == V6; #123 ), references = 2, size of lhs = 11:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V4,V5), P_addition-{F}(V2,V5,V6), P_domain-{F}(V3,V7), P_multiplication-{F}(V6,V3,V7), P_multiplication-{F}(V5,V8,V5), P_addition-{F}(V3,V8,V9), P_multiplication-{F}(V5,V9,V10) | P_addition-{T}(V7,V5,V10)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #146: mergings( V2 == V4, V4 == V6, V6 == V8, V10 == V11, V12 == V13, V3 == V5, V5 == V7, V7 == V9, V11 == V13; #136 ), references = 1, size of lhs = 7:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V2), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V2), pppp0-{F}(V2,V3), P_addition-{F}(V2,V2,V4) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #149: exists( #26, #17 ), references = 2, size of lhs = 7:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V5,V7), P_addition-{F}(V4,V7,V8) | P_domain-{T}(V6,V8)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #153: exists( #26, #14 ), references = 2, size of lhs = 6:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V3,V6), P_domain-{F}(V6,V7) | P_domain-{T}(V5,V7)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #160: exists( #26, #14 ), references = 4, size of lhs = 6:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V3,V7) | P_domain-{T}(V7,V6)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #180: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V14 == V15, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16; #167 ), references = 1, size of lhs = 6:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V2), P_domain-{F}(V2,V1), pppp0-{F}(V2,V3), P_multiplication-{F}(V1,V3,V3) | P_domain-{T}(V3,V1)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #184: exists( #26, #17 ), references = 1, size of lhs = 7:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V5,V7), P_addition-{F}(V4,V7,V8) | P_domain-{T}(V6,V8)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #188: exists( #22, #7 ), references = 2, size of lhs = 6:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_multiplication-{F}(V5,V3,V8) | P_addition-{T}(V7,V8,V6)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #191: exists( #22, #1 ), references = 2, size of lhs = 3:
% 3.50/3.68 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #192: exists( #22, #17 ), references = 3, size of lhs = 7:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V6,V7), P_domain-{F}(V5,V8) | P_addition-{T}(V4,V8,V7)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #207: mergings( V3 == V5, V4 == V6; #203 ), references = 2, size of lhs = 13:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_addition-{F}(V5,V2,V7), P_multiplication-{F}(V7,V3,V8), P_addition-{F}(V3,V9,V10), P_multiplication-{F}(V5,V10,V11), P_multiplication-{F}(V5,V9,V12), P_addition-{F}(V8,V12,V13), V11 == V13 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #211: mergings( V3 == V5, V4 == V6; #208 ), references = 2, size of lhs = 11:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_addition-{F}(V5,V2,V7), P_multiplication-{F}(V7,V3,V8), P_addition-{F}(V3,V9,V10), P_multiplication-{F}(V5,V10,V11), P_multiplication-{F}(V5,V9,V12) | P_addition-{T}(V8,V12,V11)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #240: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V17 == V19, V21 == V23, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V22 == V18, V19 == V23; #223 ), references = 1, size of lhs = 9:
% 3.50/3.68 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V2), P_addition-{F}(V3,V3,V4), pppp0-{F}(V3,V5), P_multiplication-{F}(V2,V5,V5), P_domain-{F}(V3,V6) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #249: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #244 ), references = 1, size of lhs = 13:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V6), P_domain-{F}(V6,V7), P_addition-{F}(V4,V8,V9), P_multiplication-{F}(V5,V9,V10), P_multiplication-{F}(V5,V8,V11), P_domain-{F}(V10,V12), P_domain-{F}(V11,V13), P_addition-{F}(V7,V13,V14), V12 == V14 | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #256: exists( #24, #207 ), references = 3, size of lhs = 11:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_addition-{F}(V5,V2,V7), P_multiplication-{F}(V7,V3,V8), P_addition-{F}(V3,V9,V10), P_multiplication-{F}(V5,V9,V11), P_addition-{F}(V8,V11,V12) | P_multiplication-{T}(V5,V10,V12)
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #272: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8, V11 == V22, V14 == V23, V12 == V21, V13 == V20; #263 ), references = 2, size of lhs = 18:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_multiplication-{F}(V3,V4,V4), P_domain-{F}(V4,V5), P_domain-{F}(V6,V5), pppp0-{F}(V4,V7), P_domain-{F}(V7,V8), P_addition-{F}(V8,V3,V9), P_multiplication-{F}(V9,V4,V10), P_addition-{F}(V6,V10,V10), P_multiplication-{F}(V8,V4,V11), P_addition-{F}(V4,V11,V12), P_domain-{F}(V13,V8), P_multiplication-{F}(V8,V14,V13), P_domain-{F}(V15,V14), P_addition-{F}(V4,V16,V15), P_multiplication-{F}(V8,V16,V17) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #299: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V18 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V20 == V21, V19 == V22; #282 ), references = 1, size of lhs = 13:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_multiplication-{F}(V1,V3,V3), P_domain-{F}(V4,V1), P_multiplication-{F}(V1,V5,V5), P_addition-{F}(V5,V0,V5), pppp0-{F}(V5,V3), P_addition-{F}(V5,V1,V4), P_domain-{F}(V5,V6), P_domain-{F}(V7,V6), P_addition-{F}(V7,V5,V5), P_addition-{F}(V5,V5,V8) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #323: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V21 == V24, V4 == V0, V0 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V5 == V20, V25 == V29, V24 == V1, V23 == V29; #302 ), references = 1, size of lhs = 13:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V1,V3), P_multiplication-{F}(V1,V4,V4), P_multiplication-{F}(V1,V5,V5), P_addition-{F}(V5,V0,V5), pppp0-{F}(V5,V4), P_addition-{F}(V6,V5,V5), P_domain-{F}(V6,V7), P_domain-{F}(V5,V7), P_addition-{F}(V3,V7,V1), P_addition-{F}(V5,V5,V8) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #346: mergings( V0 == V24, V2 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V24 == V23, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V5 == V21; #326 ), references = 1, size of lhs = 9:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V1,V1), P_domain-{F}(V0,V2), P_multiplication-{F}(V1,V3,V3), P_multiplication-{F}(V1,V4,V4), pppp0-{F}(V4,V3), P_addition-{F}(V4,V0,V4), P_addition-{F}(V4,V4,V4) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #369: mergings( V0 == V24, V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V24 == V23, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V6 == V22; #348 ), references = 1, size of lhs = 8:
% 3.50/3.68 pppp1-{F}(V0), P_addition-{F}(V0,V0,V0), P_zero-{F}(V1), P_addition-{F}(V0,V1,V0), P_one-{F}(V2), P_domain-{F}(V2,V2), P_multiplication-{F}(V2,V0,V0), P_domain-{F}(V1,V3) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #402: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V1 == V6, V6 == V8, V8 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V2 == V13, V13 == V29; #375 ), references = 1, size of lhs = 5:
% 3.50/3.68 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V1,V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V0,V2) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #422: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #406 ), references = 1, size of lhs = 1:
% 3.50/3.68 P_zero-{F}(V0) | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 #424: exists( #23, #406 ), references = 1, size of lhs = 0:
% 3.50/3.68 FALSE | FALSE
% 3.50/3.68 (used 0 times, uses = {})
% 3.50/3.68
% 3.50/3.68 number of learnt formulas = 42
% 3.50/3.68
% 3.50/3.68
% 3.50/3.68 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/3.68
% 3.50/3.68 randbase = 1
%------------------------------------------------------------------------------