TSTP Solution File: KLE054+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE054+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 06:07:01 EDT 2022
% Result : Theorem 6.76s 6.94s
% Output : Refutation 6.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE054+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri Jul 22 16:46:03 EDT 2022
% 0.14/0.33 % CPUTime :
% 6.76/6.94 GeoParameters:
% 6.76/6.94
% 6.76/6.94 tptp_input = 1
% 6.76/6.94 tptp_output = 0
% 6.76/6.94 nonempty = 1
% 6.76/6.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.76/6.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.76/6.94
% 6.76/6.94
% 6.76/6.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.76/6.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.76/6.94
% 6.76/6.94 RuleSystem INPUT:
% 6.76/6.94
% 6.76/6.94 Initial Rules:
% 6.76/6.94 #0: input, references = 5, size of lhs = 3:
% 6.76/6.94 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #1: input, references = 4, size of lhs = 5:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #2: input, references = 3, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #3: input, references = 4, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #4: input, references = 5, size of lhs = 6:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #5: input, references = 4, size of lhs = 4:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #6: input, references = 4, size of lhs = 4:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #7: input, references = 7, size of lhs = 8:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #8: input, references = 7, size of lhs = 8:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #9: input, references = 4, size of lhs = 4:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #10: input, references = 4, size of lhs = 4:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #11: input, references = 3, size of lhs = 5:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #12: input, references = 3, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #13: input, references = 4, size of lhs = 6:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #14: input, references = 5, size of lhs = 8:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #15: input, references = 4, size of lhs = 5:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #16: input, references = 4, size of lhs = 4:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #17: input, references = 5, size of lhs = 9:
% 6.76/6.94 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
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #18: input, references = 4, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp1-{T}(V3)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #19: input, references = 5, size of lhs = 1:
% 6.76/6.94 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #20: input, references = 9, size of lhs = 5:
% 6.76/6.94 pppp0-{F}(V0,V1), P_multiplication-{F}(V0,V1,V2), P_domain-{F}(V2,V3), P_domain-{F}(V0,V4), P_addition-{F}(V3,V4,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #21: input, references = 11, size of lhs = 2:
% 6.76/6.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #22: input, references = 4, size of lhs = 0:
% 6.76/6.94 FALSE | EXISTS V0: P_zero-{T}(V0)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #23: input, references = 19, size of lhs = 2:
% 6.76/6.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #24: input, references = 4, size of lhs = 0:
% 6.76/6.94 FALSE | EXISTS V0: P_one-{T}(V0)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #25: input, references = 15, size of lhs = 1:
% 6.76/6.94 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 number of initial rules = 26
% 6.76/6.94
% 6.76/6.94 Simplifiers:
% 6.76/6.94 #26: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #27: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #28: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #29: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #30: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #31: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #32: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #33: unsound, references = 3, size of lhs = 3:
% 6.76/6.94 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 number of simplifiers = 8
% 6.76/6.94
% 6.76/6.94 Learnt:
% 6.76/6.94 #35: exists( #21, #3 ), references = 2, size of lhs = 2:
% 6.76/6.94 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #38: exists( #23, #5 ), references = 3, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #39: exists( #23, #6 ), references = 4, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #41: exists( #21, #13 ), references = 4, size of lhs = 4:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #44: exists( #25, #16 ), references = 1, size of lhs = 2:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #49: exists( #21, #15 ), references = 6, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #50: exists( #21, #0 ), references = 5, size of lhs = 1:
% 6.76/6.94 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #58: mergings( V2 == V3, V3 == V4, V0 == V5; #54 ), references = 1, size of lhs = 2:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #60: exists( #23, #10 ), references = 2, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #64: mergings( V3 == V4; #62 ), references = 1, size of lhs = 5:
% 6.76/6.94 pppp1-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V2,V2,V2) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #66: exists( #21, #8 ), references = 5, size of lhs = 6:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #68: exists( #23, #9 ), references = 1, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #77: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #72 ), references = 1, size of lhs = 6:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), pppp0-{F}(V3,V4), P_multiplication-{F}(V3,V4,V2) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #80: exists( #25, #78 ), references = 1, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), pppp0-{F}(V1,V2), P_multiplication-{F}(V1,V2,V1) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #82: exists( #25, #14 ), references = 4, size of lhs = 6:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #84: exists( #21, #1 ), references = 3, size of lhs = 3:
% 6.76/6.94 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #87: exists( #23, #85 ), references = 3, size of lhs = 8:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4), P_domain-{F}(V4,V5), P_multiplication-{F}(V2,V5,V6), P_domain-{F}(V6,V7), P_addition-{F}(V7,V3,V3) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #95: exists( #25, #91 ), references = 1, size of lhs = 5:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp0-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #98: mergings( V2 == V4, V3 == V5; #94 ), references = 1, size of lhs = 6:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp0-{F}(V2,V3), P_domain-{F}(V3,V4), P_multiplication-{F}(V2,V4,V5) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #101: exists( #23, #93 ), references = 1, size of lhs = 4:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp0-{F}(V2,V3) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #103: exists( #25, #14 ), references = 4, size of lhs = 6:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #108: exists( #23, #104 ), references = 2, size of lhs = 8:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V4,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_domain-{F}(V4,V7), P_addition-{F}(V6,V7,V7) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #111: mergings( V3 == V5, V4 == V6; #107 ), references = 2, size of lhs = 9:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_domain-{F}(V4,V3), pppp0-{F}(V5,V4), P_multiplication-{F}(V5,V2,V6), P_domain-{F}(V6,V7), P_domain-{F}(V5,V8), P_addition-{F}(V7,V8,V8) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #125: exists( #23, #4 ), references = 1, size of lhs = 4:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #127: exists( #23, #4 ), references = 1, size of lhs = 4:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #136: exists( #21, #17 ), references = 2, size of lhs = 7:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #148: mergings( V2 == V5, V3 == V6; #143 ), references = 2, size of lhs = 10:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), pppp0-{F}(V5,V6), P_domain-{F}(V7,V6), P_multiplication-{F}(V5,V7,V8), P_addition-{F}(V3,V8,V9), P_domain-{F}(V9,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #151: mergings( V2 == V5, V3 == V6; #144 ), references = 2, size of lhs = 11:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), pppp0-{F}(V5,V6), P_domain-{F}(V6,V7), P_domain-{F}(V8,V7), P_multiplication-{F}(V5,V8,V9), P_addition-{F}(V3,V9,V10), P_domain-{F}(V10,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #160: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #154 ), references = 2, size of lhs = 11:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V6,V5), P_domain-{F}(V7,V4), P_multiplication-{F}(V8,V6,V7), P_addition-{F}(V8,V3,V9), P_multiplication-{F}(V9,V6,V10), P_domain-{F}(V10,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #165: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #155 ), references = 2, size of lhs = 12:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V5,V6), P_domain-{F}(V7,V6), P_domain-{F}(V8,V4), P_multiplication-{F}(V9,V7,V8), P_addition-{F}(V9,V3,V10), P_multiplication-{F}(V10,V7,V11), P_domain-{F}(V11,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #174: mergings( V3 == V5, V4 == V6; #170 ), references = 1, size of lhs = 6:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #177: mergings( V3 == V5, V4 == V6; #171 ), references = 2, size of lhs = 6:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #179: exists( #25, #17 ), references = 1, size of lhs = 7:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #182: exists( #23, #7 ), references = 1, size of lhs = 6:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V5,V4,V8)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #199: exists( #23, #8 ), references = 1, size of lhs = 6:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V5,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V4,V5,V8)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #204: mergings( V3 == V5, V4 == V6; #201 ), references = 3, size of lhs = 9:
% 6.76/6.94 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V5,V7), P_multiplication-{F}(V8,V9,V6), P_multiplication-{F}(V8,V10,V7), P_addition-{F}(V9,V10,V11), P_multiplication-{F}(V8,V11,V12) | P_multiplication-{T}(V4,V5,V12)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #222: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V9; #216 ), references = 1, size of lhs = 16:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V6,V5), P_domain-{F}(V7,V4), P_addition-{F}(V8,V3,V8), P_addition-{F}(V9,V10,V8), P_multiplication-{F}(V9,V6,V11), P_multiplication-{F}(V10,V6,V12), P_multiplication-{F}(V13,V14,V11), P_multiplication-{F}(V13,V15,V12), P_addition-{F}(V14,V15,V16), P_domain-{F}(V16,V17), P_multiplication-{F}(V13,V17,V7) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #227: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V9; #217 ), references = 1, size of lhs = 17:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V5,V6), P_domain-{F}(V7,V6), P_domain-{F}(V8,V4), P_addition-{F}(V9,V3,V9), P_addition-{F}(V10,V11,V9), P_multiplication-{F}(V10,V7,V12), P_multiplication-{F}(V11,V7,V13), P_multiplication-{F}(V14,V15,V12), P_multiplication-{F}(V14,V16,V13), P_addition-{F}(V15,V16,V17), P_domain-{F}(V17,V18), P_multiplication-{F}(V14,V18,V8) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #234: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V9; #228 ), references = 1, size of lhs = 14:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V6,V5), P_domain-{F}(V7,V4), P_addition-{F}(V8,V3,V8), P_addition-{F}(V9,V10,V8), P_multiplication-{F}(V9,V6,V11), P_multiplication-{F}(V10,V12,V11), P_addition-{F}(V12,V6,V13), P_domain-{F}(V13,V14), P_multiplication-{F}(V10,V14,V7) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #239: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V9; #229 ), references = 1, size of lhs = 15:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V5,V6), P_domain-{F}(V7,V6), P_domain-{F}(V8,V4), P_addition-{F}(V9,V3,V9), P_addition-{F}(V10,V11,V9), P_multiplication-{F}(V10,V7,V12), P_multiplication-{F}(V11,V13,V12), P_addition-{F}(V13,V7,V14), P_domain-{F}(V14,V15), P_multiplication-{F}(V11,V15,V8) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #254: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V12, V5 == V11, V18 == V14; #244 ), references = 1, size of lhs = 13:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V6), pppp0-{F}(V5,V7), P_addition-{F}(V8,V5,V8), P_domain-{F}(V8,V7), P_addition-{F}(V4,V7,V9), P_multiplication-{F}(V8,V9,V10), P_domain-{F}(V10,V6), P_multiplication-{F}(V8,V3,V11), P_multiplication-{F}(V3,V8,V11) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #263: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V12, V5 == V11, V19 == V14; #245 ), references = 1, size of lhs = 14:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V6), pppp0-{F}(V5,V7), P_domain-{F}(V7,V8), P_addition-{F}(V9,V5,V9), P_domain-{F}(V9,V8), P_addition-{F}(V4,V8,V10), P_multiplication-{F}(V9,V10,V11), P_domain-{F}(V11,V6), P_multiplication-{F}(V9,V3,V12), P_multiplication-{F}(V3,V9,V12) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #285: mergings( V2 == V4, V4 == V6, V6 == V9, V0 == V11, V3 == V5, V5 == V7, V7 == V10; #277 ), references = 1, size of lhs = 11:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V4,V5), P_addition-{F}(V4,V3,V6), P_domain-{F}(V6,V7), P_multiplication-{F}(V7,V3,V8), P_multiplication-{F}(V5,V3,V9), P_addition-{F}(V9,V3,V10), V8 == V10 | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #288: exists( #21, #7 ), references = 1, size of lhs = 6:
% 6.76/6.94 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)
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #295: mergings( V3 == V5, V4 == V7; #291 ), references = 1, size of lhs = 11:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V6,V5), P_domain-{F}(V7,V4), P_multiplication-{F}(V3,V8,V7), P_addition-{F}(V8,V6,V9), P_multiplication-{F}(V3,V9,V10), P_domain-{F}(V10,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #298: mergings( V3 == V5, V4 == V7; #292 ), references = 2, size of lhs = 12:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), pppp0-{F}(V3,V5), P_domain-{F}(V5,V6), P_domain-{F}(V7,V6), P_domain-{F}(V8,V4), P_multiplication-{F}(V3,V9,V8), P_addition-{F}(V9,V7,V10), P_multiplication-{F}(V3,V10,V11), P_domain-{F}(V11,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #315: mergings( V2 == V4, V4 == V6, V6 == V8, V13 == V14, V3 == V5, V5 == V7, V7 == V10; #307 ), references = 1, size of lhs = 8:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V4,V3), P_domain-{F}(V4,V5), P_multiplication-{F}(V4,V2,V6), P_domain-{F}(V6,V5) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #323: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V10; #316 ), references = 1, size of lhs = 6:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V3,V2,V3), pppp0-{F}(V3,V4), P_multiplication-{F}(V2,V4,V4) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #333: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #325 ), references = 1, size of lhs = 5:
% 6.76/6.94 pppp1-{F}(V0), P_zero-{F}(V1), P_domain-{F}(V1,V2), P_one-{F}(V3), P_multiplication-{F}(V0,V3,V0) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #347: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V7, V7 == V9, V9 == V11, V11 == V14, V2 == V13; #335 ), references = 1, size of lhs = 3:
% 6.76/6.94 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #355: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #349 ), references = 1, size of lhs = 1:
% 6.76/6.94 P_zero-{F}(V0) | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 #357: exists( #22, #349 ), references = 1, size of lhs = 0:
% 6.76/6.94 FALSE | FALSE
% 6.76/6.94 (used 0 times, uses = {})
% 6.76/6.94
% 6.76/6.94 number of learnt formulas = 52
% 6.76/6.94
% 6.76/6.94
% 6.76/6.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.76/6.94
% 6.76/6.94 randbase = 1
%------------------------------------------------------------------------------