TSTP Solution File: KLE006+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE006+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:06:53 EDT 2022
% Result : Theorem 1.75s 1.97s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE006+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 16:48:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.97 GeoParameters:
% 1.75/1.97
% 1.75/1.97 tptp_input = 1
% 1.75/1.97 tptp_output = 0
% 1.75/1.97 nonempty = 1
% 1.75/1.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.75/1.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.75/1.97
% 1.75/1.97
% 1.75/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.75/1.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.75/1.97
% 1.75/1.97 RuleSystem INPUT:
% 1.75/1.97
% 1.75/1.97 Initial Rules:
% 1.75/1.97 #0: input, references = 4, size of lhs = 3:
% 1.75/1.97 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #1: input, references = 4, size of lhs = 5:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #2: input, references = 4, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #3: input, references = 4, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #4: input, references = 4, size of lhs = 6:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #5: input, references = 4, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #6: input, references = 4, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #7: input, references = 4, size of lhs = 8:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #8: input, references = 4, size of lhs = 8:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #9: input, references = 4, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #10: input, references = 4, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #11: input, references = 3, size of lhs = 5:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #12: input, references = 3, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #13: input, references = 3, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #14: input, references = 4, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #15: input, references = 5, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #16: input, references = 4, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #17: input, references = 5, size of lhs = 1:
% 1.75/1.97 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #18: input, references = 7, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #19: input, references = 5, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #20: input, references = 5, size of lhs = 7:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #21: input, references = 5, size of lhs = 7:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #22: input, references = 7, size of lhs = 7:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #23: input, references = 5, size of lhs = 5:
% 1.75/1.97 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)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #24: input, references = 5, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #25: input, references = 4, size of lhs = 6:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #26: input, references = 4, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #27: input, references = 4, size of lhs = 2:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp3-{T}(V2,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #28: input, references = 5, size of lhs = 3:
% 1.75/1.97 pppp3-{F}(V0,V3), P_c-{F}(V0,V2), P_addition-{F}(V0,V2,V3) | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #29: input, references = 4, size of lhs = 3:
% 1.75/1.97 pppp3-{F}(V0,V1), P_c-{F}(V0,V2), P_addition-{F}(V0,V2,V3) | test-{T}(V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #30: input, references = 9, size of lhs = 2:
% 1.75/1.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #31: input, references = 4, size of lhs = 0:
% 1.75/1.97 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #32: input, references = 11, size of lhs = 2:
% 1.75/1.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #33: input, references = 4, size of lhs = 0:
% 1.75/1.97 FALSE | EXISTS V0: P_one-{T}(V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #34: input, references = 5, size of lhs = 1:
% 1.75/1.97 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 number of initial rules = 35
% 1.75/1.97
% 1.75/1.97 Simplifiers:
% 1.75/1.97 #35: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #36: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #37: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #38: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #39: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #40: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #41: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #42: unsound, references = 3, size of lhs = 3:
% 1.75/1.97 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 number of simplifiers = 8
% 1.75/1.97
% 1.75/1.97 Learnt:
% 1.75/1.97 #44: exists( #30, #3 ), references = 1, size of lhs = 2:
% 1.75/1.97 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #47: exists( #32, #5 ), references = 3, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #48: exists( #32, #6 ), references = 3, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #51: exists( #32, #9 ), references = 3, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #52: exists( #32, #10 ), references = 2, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #54: exists( #30, #2 ), references = 4, size of lhs = 2:
% 1.75/1.97 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #60: exists( #32, #22 ), references = 1, size of lhs = 5:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #62: mergings( V4 == V3; #57 ), references = 1, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #68: exists( #30, #0 ), references = 8, size of lhs = 1:
% 1.75/1.97 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #72: exists( #34, #25 ), references = 2, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #82: exists( #30, #76 ), references = 3, size of lhs = 6:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #84: mergings( V5 == V3; #80 ), references = 1, size of lhs = 6:
% 1.75/1.97 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
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #87: mergings( V5 == V3, V6 == V3; #81 ), references = 1, size of lhs = 5:
% 1.75/1.97 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)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #97: exists( #30, #1 ), references = 1, size of lhs = 3:
% 1.75/1.97 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #102: exists( #32, #7 ), references = 1, size of lhs = 6:
% 1.75/1.97 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)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #112: exists( #32, #8 ), references = 1, size of lhs = 6:
% 1.75/1.97 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)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #142: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #134 ), references = 1, size of lhs = 3:
% 1.75/1.97 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #160: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #152 ), references = 1, size of lhs = 3:
% 1.75/1.97 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #180: exists( #32, #4 ), references = 1, size of lhs = 4:
% 1.75/1.97 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)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #186: exists( #32, #21 ), references = 2, size of lhs = 6:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0, P_addition-{F}(V2,V3,V5) | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #188: mergings( V5 == V3; #185 ), references = 3, size of lhs = 6:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V0), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #189: exists( #32, #82 ), references = 1, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #193: exists( #32, #186 ), references = 2, size of lhs = 4:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4) | P_multiplication-{T}(V3,V2,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #219: mergings( V3 == V5; #215 ), references = 1, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #232: mergings( V2 == V4, V4 == V6, V6 == V9, V3 == V5, V5 == V7, V7 == V8, V8 == V10; #224 ), references = 1, size of lhs = 3:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V1) | P_c-{T}(V2,V0)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #264: mergings( V0 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V1, V1 == V12, V12 == V14, V14 == V16; #248 ), references = 1, size of lhs = 2:
% 1.75/1.97 P_zero-{F}(V0), P_one-{F}(V1) | pppp3-{T}(V1,V1)
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #308: 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; #293 ), references = 1, size of lhs = 1:
% 1.75/1.97 P_zero-{F}(V0) | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 #310: exists( #31, #293 ), references = 1, size of lhs = 0:
% 1.75/1.97 FALSE | FALSE
% 1.75/1.97 (used 0 times, uses = {})
% 1.75/1.97
% 1.75/1.97 number of learnt formulas = 28
% 1.75/1.97
% 1.75/1.97
% 1.75/1.97 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.75/1.97
% 1.75/1.97 randbase = 1
%------------------------------------------------------------------------------