TSTP Solution File: KLE078+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE078+1 : TPTP v8.1.0. Released v4.0.0.
% 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 06:07:04 EDT 2022
% Result : Theorem 27.84s 28.03s
% Output : Refutation 27.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE078+1 : TPTP v8.1.0. Released v4.0.0.
% 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 16:48:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.84/28.03 GeoParameters:
% 27.84/28.03
% 27.84/28.03 tptp_input = 1
% 27.84/28.03 tptp_output = 0
% 27.84/28.03 nonempty = 1
% 27.84/28.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.84/28.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.84/28.03
% 27.84/28.03
% 27.84/28.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.84/28.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.84/28.03
% 27.84/28.03 RuleSystem INPUT:
% 27.84/28.03
% 27.84/28.03 Initial Rules:
% 27.84/28.03 #0: input, references = 4, size of lhs = 3:
% 27.84/28.03 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #1: input, references = 4, size of lhs = 5:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #2: input, references = 4, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #3: input, references = 4, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #4: input, references = 5, size of lhs = 6:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #5: input, references = 4, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #6: input, references = 4, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #7: input, references = 6, size of lhs = 8:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #8: input, references = 5, size of lhs = 8:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #9: input, references = 4, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #10: input, references = 4, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #11: input, references = 3, size of lhs = 5:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #12: input, references = 3, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #13: input, references = 6, size of lhs = 6:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #14: input, references = 5, size of lhs = 8:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #15: input, references = 4, size of lhs = 5:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #16: input, references = 4, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #17: input, references = 4, size of lhs = 9:
% 27.84/28.03 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
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #18: input, references = 4, size of lhs = 8:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V4,V5,V7), V6 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #19: input, references = 4, size of lhs = 8:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V4,V5,V7), V7 == V0 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #20: input, references = 4, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp0-{T}(V3)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #21: input, references = 4, size of lhs = 3:
% 27.84/28.03 pppp0-{F}(V0), P_antidomain-{F}(V0,V1), P_domain-{F}(V1,V1) | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #22: input, references = 11, size of lhs = 2:
% 27.84/28.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #23: input, references = 4, size of lhs = 0:
% 27.84/28.03 FALSE | EXISTS V0: P_zero-{T}(V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #24: input, references = 13, size of lhs = 2:
% 27.84/28.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #25: input, references = 4, size of lhs = 0:
% 27.84/28.03 FALSE | EXISTS V0: P_one-{T}(V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #26: input, references = 9, size of lhs = 1:
% 27.84/28.03 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #27: input, references = 6, size of lhs = 1:
% 27.84/28.03 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 number of initial rules = 28
% 27.84/28.03
% 27.84/28.03 Simplifiers:
% 27.84/28.03 #28: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #29: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #30: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #31: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #32: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #33: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #34: unsound, references = 3, size of lhs = 3:
% 27.84/28.03 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 number of simplifiers = 7
% 27.84/28.03
% 27.84/28.03 Learnt:
% 27.84/28.03 #36: exists( #26, #16 ), references = 2, size of lhs = 2:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #38: exists( #24, #5 ), references = 5, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #41: exists( #22, #3 ), references = 2, size of lhs = 2:
% 27.84/28.03 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #44: exists( #24, #9 ), references = 2, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #46: exists( #24, #10 ), references = 3, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #48: exists( #24, #18 ), references = 3, size of lhs = 7:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), V6 == V1 | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #50: exists( #22, #2 ), references = 6, size of lhs = 2:
% 27.84/28.03 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #53: exists( #22, #0 ), references = 8, size of lhs = 1:
% 27.84/28.03 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #59: mergings( V2 == V3; #57 ), references = 1, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V0) | P_antidomain-{T}(V3,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #61: exists( #22, #15 ), references = 3, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #64: exists( #24, #6 ), references = 6, size of lhs = 3:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #66: mergings( V7 == V4; #63 ), references = 3, size of lhs = 6:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V1) | P_multiplication-{T}(V4,V5,V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #68: exists( #22, #1 ), references = 2, size of lhs = 3:
% 27.84/28.03 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #71: exists( #22, #7 ), references = 4, size of lhs = 6:
% 27.84/28.03 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)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #72: exists( #22, #8 ), references = 1, size of lhs = 6:
% 27.84/28.03 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)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #82: mergings( V3 == V5, V4 == V6; #79 ), references = 1, size of lhs = 6:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V3,V5,V6) | P_multiplication-{T}(V3,V2,V6)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #88: exists( #22, #48 ), references = 2, size of lhs = 5:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5) | P_addition-{T}(V4,V5,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #92: exists( #26, #14 ), references = 4, size of lhs = 6:
% 27.84/28.03 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)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #100: mergings( V3 == V4; #97 ), references = 1, size of lhs = 5:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V2,V5,V6) | P_multiplication-{T}(V2,V4,V6)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #102: mergings( V3 == V4; #98 ), references = 4, size of lhs = 5:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #114: exists( #26, #14 ), references = 1, size of lhs = 6:
% 27.84/28.03 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)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #141: exists( #24, #4 ), references = 1, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #194: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V20 == V22, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V8 == V11; #178 ), references = 2, size of lhs = 9:
% 27.84/28.03 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_addition-{F}(V2,V3,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V4), P_multiplication-{F}(V6,V3,V0), P_addition-{F}(V5,V6,V2), P_domain-{F}(V7,V6) | P_antidomain-{T}(V7,V4)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #206: exists( #24, #4 ), references = 2, size of lhs = 4:
% 27.84/28.03 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V4,V1,V6) | P_multiplication-{T}(V6,V2,V5)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #217: exists( #22, #17 ), references = 1, size of lhs = 7:
% 27.84/28.03 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)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #238: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13; #228 ), references = 1, size of lhs = 12:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V0), P_multiplication-{F}(V6,V3,V2), P_multiplication-{F}(V7,V4,V8), P_multiplication-{F}(V9,V7,V10), P_multiplication-{F}(V11,V12,V5), P_multiplication-{F}(V11,V13,V10), P_addition-{F}(V13,V12,V14), P_multiplication-{F}(V11,V14,V6) | P_multiplication-{T}(V9,V8,V0)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #278: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V9 == V21; #258 ), references = 1, size of lhs = 17:
% 27.84/28.03 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), pppp0-{F}(V3), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V4,V2,V6), P_multiplication-{F}(V2,V7,V7), P_addition-{F}(V5,V7,V8), P_domain-{F}(V8,V2), P_domain-{F}(V9,V0), P_multiplication-{F}(V10,V7,V0), P_multiplication-{F}(V11,V7,V9), P_multiplication-{F}(V12,V13,V10), P_multiplication-{F}(V12,V14,V6), P_addition-{F}(V14,V13,V15), P_multiplication-{F}(V12,V15,V11) | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #310: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V2 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V5 == V8, V8 == V16, V16 == V27, V27 == V28; #283 ), references = 2, size of lhs = 13:
% 27.84/28.03 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_domain-{F}(V1,V1), pppp0-{F}(V2), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V1,V4), P_domain-{F}(V5,V3), P_domain-{F}(V6,V5), P_multiplication-{F}(V7,V8,V0), P_multiplication-{F}(V7,V9,V4), P_addition-{F}(V9,V8,V10), P_multiplication-{F}(V7,V10,V5) | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #322: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #315 ), references = 1, size of lhs = 7:
% 27.84/28.03 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_multiplication-{F}(V1,V0,V0), P_domain-{F}(V1,V1), pppp0-{F}(V2), P_multiplication-{F}(V1,V2,V2) | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #335: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V1 == V8, V8 == V10, V10 == V12, V2 == V11; #324 ), references = 2, size of lhs = 5:
% 27.84/28.03 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_multiplication-{F}(V1,V0,V0), P_domain-{F}(V1,V1) | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #349: mergings( V2 == V3, V3 == V4, V0 == V5; #345 ), references = 1, size of lhs = 2:
% 27.84/28.03 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #357: mergings( V1 == V2, V2 == V3, V3 == V4; #353 ), references = 1, size of lhs = 1:
% 27.84/28.03 P_zero-{F}(V0) | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 #359: exists( #23, #353 ), references = 1, size of lhs = 0:
% 27.84/28.03 FALSE | FALSE
% 27.84/28.03 (used 0 times, uses = {})
% 27.84/28.03
% 27.84/28.03 number of learnt formulas = 33
% 27.84/28.03
% 27.84/28.03
% 27.84/28.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.84/28.03
% 27.84/28.03 randbase = 1
%------------------------------------------------------------------------------