TSTP Solution File: KLE025+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE025+2 : 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 06:06:57 EDT 2022
% Result : Theorem 34.21s 34.44s
% Output : Refutation 34.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE025+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 16:47:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 34.21/34.44 GeoParameters:
% 34.21/34.44
% 34.21/34.44 tptp_input = 1
% 34.21/34.44 tptp_output = 0
% 34.21/34.44 nonempty = 1
% 34.21/34.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.21/34.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 34.21/34.44
% 34.21/34.44
% 34.21/34.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.21/34.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.21/34.44
% 34.21/34.44 RuleSystem INPUT:
% 34.21/34.44
% 34.21/34.44 Initial Rules:
% 34.21/34.44 #0: input, references = 4, size of lhs = 3:
% 34.21/34.44 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #1: input, references = 4, size of lhs = 5:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #2: input, references = 4, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #3: input, references = 4, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #4: input, references = 3, size of lhs = 6:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #5: input, references = 4, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #6: input, references = 4, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #7: input, references = 7, size of lhs = 8:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #8: input, references = 9, size of lhs = 8:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #9: input, references = 4, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #10: input, references = 4, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #11: input, references = 3, size of lhs = 5:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #12: input, references = 3, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #13: input, references = 3, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #14: input, references = 3, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #15: input, references = 5, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #16: input, references = 3, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #17: input, references = 5, size of lhs = 1:
% 34.21/34.44 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #18: input, references = 10, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #19: input, references = 3, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #20: input, references = 7, size of lhs = 7:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #21: input, references = 6, size of lhs = 7:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #22: input, references = 5, size of lhs = 7:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #23: input, references = 3, size of lhs = 5:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #24: input, references = 8, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #25: input, references = 5, size of lhs = 6:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #26: input, references = 8, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #27: input, references = 6, size of lhs = 10:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_multiplication-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #28: input, references = 5, size of lhs = 10:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_addition-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #29: input, references = 4, size of lhs = 2:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp5-{T}(V2,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #30: input, references = 5, size of lhs = 2:
% 34.21/34.44 pppp5-{F}(V0,V1), P_c-{F}(V0,V2) | EXISTS V3: pppp4-{T}(V3,V0,V1,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #31: input, references = 4, size of lhs = 2:
% 34.21/34.44 pppp5-{F}(V0,V1), P_c-{F}(V0,V2) | test-{T}(V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #32: input, references = 8, size of lhs = 1:
% 34.21/34.44 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V1,V2,V3)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #33: input, references = 3, size of lhs = 1:
% 34.21/34.44 pppp4-{F}(V0,V1,V2,V3) | test-{T}(V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #34: input, references = 7, size of lhs = 4:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V1,V0,V7), P_multiplication-{F}(V7,V4,V6), P_multiplication-{F}(V7,V2,V7) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #35: input, references = 8, size of lhs = 5:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V1,V0,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), V6 == V3 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #36: input, references = 11, size of lhs = 2:
% 34.21/34.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #37: input, references = 4, size of lhs = 0:
% 34.21/34.44 FALSE | EXISTS V0: P_zero-{T}(V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #38: input, references = 22, size of lhs = 2:
% 34.21/34.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #39: input, references = 4, size of lhs = 0:
% 34.21/34.44 FALSE | EXISTS V0: P_one-{T}(V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #40: input, references = 9, size of lhs = 1:
% 34.21/34.44 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 number of initial rules = 41
% 34.21/34.44
% 34.21/34.44 Simplifiers:
% 34.21/34.44 #41: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #42: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #43: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #44: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #45: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #46: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #47: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #48: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V3,V4), V1 == V6 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #49: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V3,V9), V2 == V7 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #50: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #51: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V8,V9), V4 == V9 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #52: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #53: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V2,V7), V1 == V5 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #54: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #55: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #56: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #57: unsound, references = 3, size of lhs = 3:
% 34.21/34.44 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V1 == V3 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 number of simplifiers = 17
% 34.21/34.44
% 34.21/34.44 Learnt:
% 34.21/34.44 #59: exists( #36, #3 ), references = 1, size of lhs = 2:
% 34.21/34.44 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #62: exists( #38, #5 ), references = 17, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #63: exists( #38, #6 ), references = 8, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #66: exists( #38, #9 ), references = 4, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #67: exists( #38, #10 ), references = 2, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #69: exists( #36, #2 ), references = 11, size of lhs = 2:
% 34.21/34.44 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #75: exists( #38, #22 ), references = 1, size of lhs = 5:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #77: mergings( V4 == V3; #72 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #83: exists( #36, #0 ), references = 19, size of lhs = 1:
% 34.21/34.44 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #87: exists( #40, #25 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #95: exists( #36, #91 ), references = 5, size of lhs = 6:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #97: mergings( V5 == V3; #94 ), references = 1, size of lhs = 6:
% 34.21/34.44 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
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #105: exists( #40, #28 ), references = 4, size of lhs = 8:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #110: exists( #40, #27 ), references = 1, size of lhs = 8:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_multiplication-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #127: exists( #36, #28 ), references = 1, size of lhs = 8:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_addition-{T}(V7,V3,V6)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #131: exists( #38, #27 ), references = 2, size of lhs = 8:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #153: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #145 ), references = 1, size of lhs = 3:
% 34.21/34.44 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #177: exists( #36, #1 ), references = 4, size of lhs = 3:
% 34.21/34.44 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #192: exists( #38, #95 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #197: mergings( V3 == V5, V4 == V6; #194 ), references = 1, size of lhs = 5:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #202: mergings( V3 == V5, V4 == V6; #199 ), references = 4, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #209: exists( #38, #27 ), references = 1, size of lhs = 8:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #218: mergings( V3 == V4; #215 ), references = 10, size of lhs = 5:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #220: mergings( V3 == V4; #216 ), references = 8, size of lhs = 5:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #223: exists( #36, #7 ), references = 8, size of lhs = 6:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #224: exists( #36, #8 ), references = 9, size of lhs = 6:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #263: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #249 ), references = 3, size of lhs = 8:
% 34.21/34.44 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5 | P_multiplication-{T}(V2,V0,V5)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #277: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19; #250 ), references = 1, size of lhs = 13:
% 34.21/34.44 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V0,V8), P_multiplication-{F}(V6,V0,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #291: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19; #251 ), references = 1, size of lhs = 13:
% 34.21/34.44 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V0,V8), P_multiplication-{F}(V6,V0,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #301: mergings( V2 == V4, V3 == V5; #298 ), references = 1, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V2,V3) | P_c-{T}(V2,V0), P_c-{T}(V2,V3)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #313: mergings( V0 == V2, V2 == V6, V6 == V11, V11 == V12, V1 == V3, V3 == V7, V7 == V10, V10 == V13; #304 ), references = 1, size of lhs = 13:
% 34.21/34.44 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), V3 == V2, P_addition-{F}(V4,V1,V3), V4 == V2, complement-{F}(V5,V4), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V5,V7,V8), P_multiplication-{F}(V5,V6,V9), P_addition-{F}(V2,V9,V10), V8 == V10 | P_c-{T}(V5,V2)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #322: mergings( V5 == V6, V6 == V1, V3 == V0, V0 == V7; #317 ), references = 1, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V1,V0,V2,V1) | pppp3-{T}(V2,V1,V0,V2,V1)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #326: exists( #38, #8 ), references = 4, size of lhs = 6:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #370: 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; #354 ), references = 1, size of lhs = 13:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V4,V1), P_multiplication-{F}(V5,V4,V0), P_multiplication-{F}(V2,V6,V5), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V8,V4,V0), P_multiplication-{F}(V9,V2,V0), P_multiplication-{F}(V10,V3,V9), P_addition-{F}(V2,V10,V11), P_multiplication-{F}(V11,V3,V3) | P_multiplication-{T}(V2,V3,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #385: 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, V18 == V17; #355 ), references = 1, size of lhs = 14:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V1), P_addition-{F}(V2,V4,V1), P_multiplication-{F}(V5,V4,V0), P_multiplication-{F}(V2,V6,V5), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V8,V4,V0), P_multiplication-{F}(V9,V2,V0), P_multiplication-{F}(V10,V3,V9), P_addition-{F}(V2,V10,V11), P_multiplication-{F}(V11,V3,V3) | P_multiplication-{T}(V2,V3,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #400: 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, V18 == V17; #356 ), references = 1, size of lhs = 14:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V1), P_addition-{F}(V2,V4,V1), P_multiplication-{F}(V5,V4,V0), P_multiplication-{F}(V2,V6,V5), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V8,V4,V0), P_multiplication-{F}(V9,V2,V0), P_multiplication-{F}(V10,V3,V9), P_addition-{F}(V2,V10,V11), P_multiplication-{F}(V11,V3,V3) | P_multiplication-{T}(V2,V3,V0)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #435: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29; #408 ), references = 1, size of lhs = 15:
% 34.21/34.44 pppp0-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V3,V0,V1), P_addition-{F}(V0,V3,V2), P_multiplication-{F}(V3,V2,V4), P_multiplication-{F}(V4,V0,V1), P_addition-{F}(V0,V5,V2), P_addition-{F}(V1,V4,V6), P_multiplication-{F}(V7,V5,V1), P_multiplication-{F}(V0,V8,V7), P_addition-{F}(V0,V9,V8), P_addition-{F}(V2,V9,V10), P_multiplication-{F}(V0,V10,V11), P_multiplication-{F}(V11,V5,V1) | pppp2-{T}(V0,V6)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #438: exists( #32, #436 ), references = 1, size of lhs = 5:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V0), pppp4-{F}(V0,V2,V3,V4), P_multiplication-{F}(V0,V4,V5) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #444: mergings( V3 == V5, V4 == V6; #441 ), references = 1, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V3,V0,V4,V1) | P_multiplication-{T}(V3,V2,V4)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #449: mergings( V5 == V1, V3 == V6; #446 ), references = 1, size of lhs = 5:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V2), pppp4-{F}(V3,V0,V2,V1), P_multiplication-{F}(V2,V1,V4) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #453: mergings( V4 == V0, V2 == V5; #450 ), references = 1, size of lhs = 6:
% 34.21/34.44 P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), pppp5-{F}(V0,V2), P_multiplication-{F}(V2,V0,V2), P_multiplication-{F}(V2,V1,V3) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #516: mergings( V2 == V4, V4 == V6, V6 == V11, V11 == V12, V12 == V15, V15 == V18, V18 == V19, V3 == V5, V5 == V7, V7 == V13, V13 == V14, V14 == V17, V17 == V20; #501 ), references = 1, size of lhs = 12:
% 34.21/34.44 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_addition-{F}(V2,V1,V3), P_one-{F}(V3), P_c-{F}(V2,V4), test-{F}(V4), P_addition-{F}(V4,V0,V5), P_c-{F}(V5,V6), V3 == V6, P_zero-{F}(V6), P_multiplication-{F}(V3,V2,V7) | P_c-{T}(V4,V7)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #520: exists( #38, #7 ), references = 1, size of lhs = 6:
% 34.21/34.44 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)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #568: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #556 ), references = 2, size of lhs = 16:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V3,V0), P_multiplication-{F}(V5,V3,V0), P_multiplication-{F}(V6,V2,V0), P_multiplication-{F}(V7,V8,V4), P_multiplication-{F}(V7,V9,V5), P_addition-{F}(V8,V10,V9), P_multiplication-{F}(V11,V10,V6), P_addition-{F}(V7,V11,V12), P_multiplication-{F}(V12,V10,V13), P_multiplication-{F}(V14,V15,V13), pppp3-{F}(V15,V14,V2,V16,V17), P_multiplication-{F}(V13,V17,V18), V18 == V16 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #600: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #587 ), references = 1, size of lhs = 15:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V3,V0), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V6,V5,V0), P_multiplication-{F}(V7,V8,V2), P_multiplication-{F}(V7,V9,V4), P_addition-{F}(V10,V8,V9), P_multiplication-{F}(V11,V10,V6), P_addition-{F}(V7,V11,V12), P_multiplication-{F}(V12,V10,V13), P_multiplication-{F}(V14,V15,V13), P_multiplication-{F}(V13,V16,V17), pppp3-{F}(V15,V14,V16,V18,V5) | P_multiplication-{T}(V7,V10,V18)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #613: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16; #588 ), references = 2, size of lhs = 21:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_addition-{F}(V3,V4,V1), P_multiplication-{F}(V5,V3,V0), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V7,V4,V0), P_multiplication-{F}(V8,V4,V0), P_addition-{F}(V9,V3,V1), P_multiplication-{F}(V10,V9,V0), P_multiplication-{F}(V10,V11,V7), P_addition-{F}(V11,V1,V12), P_multiplication-{F}(V10,V12,V8), P_multiplication-{F}(V13,V14,V5), P_multiplication-{F}(V13,V15,V6), P_addition-{F}(V16,V14,V15), P_multiplication-{F}(V17,V16,V10), P_addition-{F}(V13,V17,V18), P_multiplication-{F}(V18,V16,V2), P_multiplication-{F}(V19,V20,V2), pppp3-{F}(V20,V19,V3,V21,V9) | P_multiplication-{T}(V13,V16,V21)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #652: mergings( V28 == V31, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V22 == V32, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #638 ), references = 1, size of lhs = 21:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V2,V0), P_multiplication-{F}(V5,V2,V0), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V7,V3,V0), P_multiplication-{F}(V8,V1,V8), P_multiplication-{F}(V9,V10,V4), P_multiplication-{F}(V9,V11,V5), P_addition-{F}(V12,V10,V11), P_multiplication-{F}(V13,V12,V8), P_addition-{F}(V14,V9,V13), P_multiplication-{F}(V14,V15,V6), P_addition-{F}(V12,V15,V16), P_multiplication-{F}(V14,V16,V7), P_multiplication-{F}(V17,V18,V8), pppp3-{F}(V18,V17,V3,V0,V2) | P_multiplication-{T}(V9,V12,V8)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #660: exists( #38, #35 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V2,V3,V4), pppp3-{F}(V1,V0,V5,V6,V3), V4 == V6 | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #662: exists( #38, #659 ), references = 2, size of lhs = 2:
% 34.21/34.44 P_multiplication-{F}(V0,V1,V2), pppp3-{F}(V1,V0,V3,V4,V5) | P_multiplication-{T}(V2,V5,V4)
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #672: mergings( V5 == V7, V7 == V2, V6 == V0, V0 == V8; #667 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V1,V2,V0,V3), P_addition-{F}(V2,V3,V1) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #761: mergings( V3 == V5, V4 == V6, V5 == V10, V9 == V7; #755 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), pppp3-{F}(V4,V5,V2,V0,V3) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #765: mergings( V5 == V2, V6 == V7; #762 ), references = 1, size of lhs = 4:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), pppp4-{F}(V4,V2,V0,V3) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #769: mergings( V4 == V1, V5 == V6; #766 ), references = 1, size of lhs = 5:
% 34.21/34.44 P_zero-{F}(V0), pppp5-{F}(V1,V0), P_c-{F}(V1,V2), P_addition-{F}(V1,V2,V3), P_one-{F}(V3) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #783: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V3 == V5, V5 == V8, V8 == V11, V9 == V10; #774 ), references = 1, size of lhs = 3:
% 34.21/34.44 P_zero-{F}(V0), pppp5-{F}(V1,V0), P_one-{F}(V2) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #793: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V0, V1 == V4, V4 == V6, V6 == V9, V9 == V10; #784 ), references = 1, size of lhs = 2:
% 34.21/34.44 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #799: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #794 ), references = 1, size of lhs = 1:
% 34.21/34.44 P_zero-{F}(V0) | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 #801: exists( #37, #794 ), references = 1, size of lhs = 0:
% 34.21/34.44 FALSE | FALSE
% 34.21/34.44 (used 0 times, uses = {})
% 34.21/34.44
% 34.21/34.44 number of learnt formulas = 57
% 34.21/34.44
% 34.21/34.44
% 34.21/34.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.21/34.44
% 34.21/34.44 randbase = 1
%------------------------------------------------------------------------------