TSTP Solution File: KLE021+2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE021+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:06:56 EDT 2022
% Result : Theorem 7.47s 7.70s
% Output : Refutation 7.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE021+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 16:46:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.47/7.70 GeoParameters:
% 7.47/7.70
% 7.47/7.70 tptp_input = 1
% 7.47/7.70 tptp_output = 0
% 7.47/7.70 nonempty = 1
% 7.47/7.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.47/7.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.47/7.70
% 7.47/7.70
% 7.47/7.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.47/7.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.47/7.70
% 7.47/7.70 RuleSystem INPUT:
% 7.47/7.70
% 7.47/7.70 Initial Rules:
% 7.47/7.70 #0: input, references = 4, size of lhs = 3:
% 7.47/7.70 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #1: input, references = 4, size of lhs = 5:
% 7.47/7.70 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
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #2: input, references = 4, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #3: input, references = 4, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #4: input, references = 3, size of lhs = 6:
% 7.47/7.70 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
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #5: input, references = 4, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #6: input, references = 4, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #7: input, references = 6, size of lhs = 8:
% 7.47/7.70 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
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #8: input, references = 6, size of lhs = 8:
% 7.47/7.70 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
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #9: input, references = 4, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #10: input, references = 4, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #11: input, references = 3, size of lhs = 5:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #12: input, references = 5, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #13: input, references = 3, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #14: input, references = 3, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #15: input, references = 5, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #16: input, references = 3, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #17: input, references = 5, size of lhs = 1:
% 7.47/7.70 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #18: input, references = 6, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #19: input, references = 3, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #20: input, references = 5, size of lhs = 7:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V4 == V0 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #21: input, references = 4, size of lhs = 7:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V5 == V0 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #22: input, references = 7, size of lhs = 7:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V6 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #23: input, references = 3, size of lhs = 5:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0), P_addition-{F}(V2,V3,V1) | pppp1-{T}(V2,V3)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #24: input, references = 4, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #25: input, references = 4, size of lhs = 6:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #26: input, references = 3, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #27: input, references = 4, size of lhs = 2:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #28: input, references = 5, size of lhs = 2:
% 7.47/7.70 pppp4-{F}(V0), P_c-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #29: input, references = 4, size of lhs = 2:
% 7.47/7.70 pppp4-{F}(V0), P_c-{F}(V0,V1) | test-{T}(V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #30: input, references = 6, size of lhs = 6:
% 7.47/7.70 pppp3-{F}(V0,V1,V2), P_multiplication-{F}(V0,V2,V3), P_multiplication-{F}(V1,V2,V4), P_addition-{F}(V3,V4,V5), leq-{F}(V2,V5), leq-{F}(V5,V2) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #31: input, references = 9, size of lhs = 2:
% 7.47/7.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #32: input, references = 4, size of lhs = 0:
% 7.47/7.70 FALSE | EXISTS V0: P_zero-{T}(V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #33: input, references = 14, size of lhs = 2:
% 7.47/7.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #34: input, references = 4, size of lhs = 0:
% 7.47/7.70 FALSE | EXISTS V0: P_one-{T}(V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #35: input, references = 5, size of lhs = 1:
% 7.47/7.70 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 number of initial rules = 36
% 7.47/7.70
% 7.47/7.70 Simplifiers:
% 7.47/7.70 #36: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #37: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #38: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #39: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #40: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #41: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #42: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #43: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #44: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #45: unsound, references = 3, size of lhs = 3:
% 7.47/7.70 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 number of simplifiers = 10
% 7.47/7.70
% 7.47/7.70 Learnt:
% 7.47/7.70 #47: exists( #31, #3 ), references = 3, size of lhs = 2:
% 7.47/7.70 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #50: exists( #33, #5 ), references = 2, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #51: exists( #33, #6 ), references = 5, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #54: exists( #33, #9 ), references = 2, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #55: exists( #33, #10 ), references = 3, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #57: exists( #31, #2 ), references = 6, size of lhs = 2:
% 7.47/7.70 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #63: exists( #33, #22 ), references = 1, size of lhs = 5:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #65: mergings( V4 == V3; #60 ), references = 1, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #71: exists( #31, #0 ), references = 7, size of lhs = 1:
% 7.47/7.70 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #75: exists( #35, #25 ), references = 1, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #85: exists( #31, #79 ), references = 3, size of lhs = 6:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0, P_multiplication-{F}(V3,V2,V5) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #87: mergings( V5 == V3; #83 ), references = 2, size of lhs = 6:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #90: mergings( V5 == V3, V6 == V3; #84 ), references = 2, size of lhs = 5:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0) | P_addition-{T}(V3,V2,V1)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #100: exists( #31, #1 ), references = 1, size of lhs = 3:
% 7.47/7.70 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #105: exists( #33, #7 ), references = 2, size of lhs = 6:
% 7.47/7.70 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)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #115: exists( #33, #8 ), references = 1, size of lhs = 6:
% 7.47/7.70 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)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #150: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #142 ), references = 1, size of lhs = 3:
% 7.47/7.70 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #172: mergings( V0 == V3, V3 == V4, V4 == V6, V1 == V5, V5 == V7; #166 ), references = 1, size of lhs = 4:
% 7.47/7.70 pppp4-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #193: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #185 ), references = 1, size of lhs = 3:
% 7.47/7.70 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #215: exists( #33, #85 ), references = 2, size of lhs = 4:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #223: mergings( V3 == V5; #219 ), references = 2, size of lhs = 3:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #226: mergings( V3 == V5, V4 == V6; #221 ), references = 1, size of lhs = 5:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #248: mergings( V3 == V4; #245 ), references = 2, size of lhs = 5:
% 7.47/7.70 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)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #250: mergings( V3 == V4; #246 ), references = 2, size of lhs = 5:
% 7.47/7.70 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)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #256: exists( #31, #7 ), references = 3, size of lhs = 6:
% 7.47/7.70 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)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #257: exists( #31, #8 ), references = 3, size of lhs = 6:
% 7.47/7.70 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)
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #281: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #267 ), references = 1, size of lhs = 19:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V3,V5,V0), P_multiplication-{F}(V2,V6,V0), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V9,V10,V6), P_addition-{F}(V9,V11,V12), P_multiplication-{F}(V11,V13,V4), P_multiplication-{F}(V12,V13,V5), P_addition-{F}(V13,V10,V14), P_multiplication-{F}(V9,V14,V15), P_addition-{F}(V15,V7,V16), P_multiplication-{F}(V2,V16,V17), leq-{F}(V17,V13), leq-{F}(V13,V17), P_multiplication-{F}(V18,V13,V8), pppp3-{F}(V18,V9,V13) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #289: exists( #33, #287 ), references = 2, size of lhs = 9:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3), leq-{F}(V3,V2), P_multiplication-{F}(V4,V2,V3), pppp3-{F}(V5,V6,V2), P_multiplication-{F}(V6,V2,V7), P_multiplication-{F}(V8,V2,V7), P_addition-{F}(V5,V8,V4) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #304: exists( #33, #289 ), references = 1, size of lhs = 7:
% 7.47/7.70 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3), leq-{F}(V3,V2), P_multiplication-{F}(V4,V2,V3), pppp3-{F}(V5,V6,V2), P_addition-{F}(V5,V6,V4) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #314: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #308 ), references = 2, size of lhs = 5:
% 7.47/7.70 pppp4-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V2), P_one-{F}(V2), P_zero-{F}(V3) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #362: mergings( V2 == V4, V4 == V8, V8 == V10, V3 == V5, V5 == V6, V6 == V7, V7 == V9; #354 ), references = 1, size of lhs = 3:
% 7.47/7.70 pppp4-{F}(V0), P_one-{F}(V1), P_zero-{F}(V2) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #373: mergings( V0 == V3, V3 == V5, V5 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10; #363 ), references = 1, size of lhs = 2:
% 7.47/7.70 P_one-{F}(V0), P_zero-{F}(V1) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #379: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #374 ), references = 1, size of lhs = 1:
% 7.47/7.70 P_zero-{F}(V0) | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 #381: exists( #32, #374 ), references = 1, size of lhs = 0:
% 7.47/7.70 FALSE | FALSE
% 7.47/7.70 (used 0 times, uses = {})
% 7.47/7.70
% 7.47/7.70 number of learnt formulas = 34
% 7.47/7.70
% 7.47/7.70
% 7.47/7.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.47/7.70
% 7.47/7.70 randbase = 1
%------------------------------------------------------------------------------