TSTP Solution File: KLE120+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE120+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:07:08 EDT 2022
% Result : Theorem 272.71s 273.01s
% Output : Refutation 272.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE120+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jul 22 16:36:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 272.71/273.01 GeoParameters:
% 272.71/273.01
% 272.71/273.01 tptp_input = 1
% 272.71/273.01 tptp_output = 0
% 272.71/273.01 nonempty = 1
% 272.71/273.01 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 272.71/273.01 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 272.71/273.01
% 272.71/273.01
% 272.71/273.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 272.71/273.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 272.71/273.01
% 272.71/273.01 RuleSystem INPUT:
% 272.71/273.01
% 272.71/273.01 Initial Rules:
% 272.71/273.01 #0: input, references = 4, size of lhs = 3:
% 272.71/273.01 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1: input, references = 4, size of lhs = 5:
% 272.71/273.01 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
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2: input, references = 4, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #3: input, references = 4, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #4: input, references = 7, size of lhs = 6:
% 272.71/273.01 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
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #5: input, references = 4, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #6: input, references = 5, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #7: input, references = 9, size of lhs = 8:
% 272.71/273.01 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
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #8: input, references = 9, size of lhs = 8:
% 272.71/273.01 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
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #9: input, references = 4, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #10: input, references = 4, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #11: input, references = 3, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #12: input, references = 3, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #13: input, references = 7, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #14: input, references = 6, size of lhs = 10:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_antidomain-{F}(V4,V5), P_antidomain-{F}(V3,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V2,V7,V8), P_antidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #15: input, references = 5, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #16: input, references = 6, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #17: input, references = 7, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #18: input, references = 5, size of lhs = 10:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_coantidomain-{F}(V4,V5), P_coantidomain-{F}(V2,V6), P_coantidomain-{F}(V6,V7), P_multiplication-{F}(V7,V3,V8), P_coantidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #19: input, references = 5, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #20: input, references = 8, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4), P_coantidomain-{F}(V4,V5), V3 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #21: input, references = 6, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_domain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #22: input, references = 5, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain_difference-{F}(V2,V3,V4), P_domain-{F}(V2,V5), P_antidomain-{F}(V3,V6), P_multiplication-{F}(V5,V6,V7), V4 == V7 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #23: input, references = 4, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_forward_diamond-{F}(V2,V3,V4), P_domain-{F}(V3,V5), P_multiplication-{F}(V2,V5,V6), P_domain-{F}(V6,V7), V4 == V7 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #24: input, references = 8, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_backward_diamond-{F}(V2,V3,V4), P_codomain-{F}(V3,V5), P_multiplication-{F}(V5,V2,V6), P_codomain-{F}(V6,V7), V4 == V7 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #25: input, references = 4, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_forward_box-{F}(V2,V3,V4), P_c-{F}(V3,V5), P_forward_diamond-{F}(V2,V5,V6), P_c-{F}(V6,V7), V4 == V7 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #26: input, references = 6, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_backward_box-{F}(V2,V3,V4), P_c-{F}(V3,V5), P_backward_diamond-{F}(V2,V5,V6), P_c-{F}(V6,V7), V4 == V7 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #27: input, references = 4, size of lhs = 2:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #28: input, references = 4, size of lhs = 4:
% 272.71/273.01 pppp0-{F}(V0,V1), P_domain-{F}(V1,V2), P_backward_diamond-{F}(V0,V2,V3), P_addition-{F}(V3,V2,V2) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #29: input, references = 9, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #30: input, references = 4, size of lhs = 0:
% 272.71/273.01 FALSE | EXISTS V0: P_zero-{T}(V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #31: input, references = 11, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #32: input, references = 4, size of lhs = 0:
% 272.71/273.01 FALSE | EXISTS V0: P_one-{T}(V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #33: input, references = 16, size of lhs = 1:
% 272.71/273.01 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #34: input, references = 17, size of lhs = 1:
% 272.71/273.01 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #35: input, references = 12, size of lhs = 1:
% 272.71/273.01 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #36: input, references = 16, size of lhs = 1:
% 272.71/273.01 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #37: input, references = 6, size of lhs = 1:
% 272.71/273.01 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #38: input, references = 6, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_domain_difference-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #39: input, references = 4, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_diamond-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #40: input, references = 4, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_diamond-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #41: input, references = 4, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_box-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #42: input, references = 7, size of lhs = 2:
% 272.71/273.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_box-{T}(V0,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 number of initial rules = 43
% 272.71/273.01
% 272.71/273.01 Simplifiers:
% 272.71/273.01 #43: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #44: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #45: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #46: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #47: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #48: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #49: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #50: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #51: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #52: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_domain_difference-{F}(V0,V1,V2), P_domain_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #53: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_forward_diamond-{F}(V0,V1,V2), P_forward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #54: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_backward_diamond-{F}(V0,V1,V2), P_backward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #55: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_forward_box-{F}(V0,V1,V2), P_forward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #56: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 P_backward_box-{F}(V0,V1,V2), P_backward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #57: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #58: unsound, references = 3, size of lhs = 3:
% 272.71/273.01 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 number of simplifiers = 16
% 272.71/273.01
% 272.71/273.01 Learnt:
% 272.71/273.01 #60: exists( #29, #19 ), references = 15, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #63: exists( #36, #20 ), references = 8, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #65: exists( #37, #21 ), references = 1, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_c-{T}(V2,V4)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #68: exists( #29, #2 ), references = 13, size of lhs = 2:
% 272.71/273.01 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #70: exists( #29, #3 ), references = 12, size of lhs = 2:
% 272.71/273.01 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #72: exists( #31, #17 ), references = 20, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #78: mergings( V2 == V4, V3 == V0; #75 ), references = 1, size of lhs = 2:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #80: exists( #42, #26 ), references = 2, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_backward_diamond-{F}(V4,V3,V5), P_c-{F}(V5,V6) | P_backward_box-{T}(V4,V2,V6)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #82: exists( #41, #25 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_forward_diamond-{F}(V4,V3,V5), P_c-{F}(V5,V6) | P_forward_box-{T}(V4,V2,V6)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #84: exists( #40, #24 ), references = 13, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V5), P_codomain-{F}(V5,V6) | P_backward_diamond-{T}(V4,V2,V6)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #86: exists( #33, #21 ), references = 8, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_domain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #91: mergings( V2 == V4, V3 == V5; #88 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_domain-{F}(V4,V5) | P_c-{T}(V2,V5)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #96: exists( #31, #5 ), references = 33, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #97: exists( #31, #6 ), references = 27, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #102: mergings( V2 == V3, V0 == V4; #99 ), references = 1, size of lhs = 2:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #107: exists( #33, #16 ), references = 14, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #114: mergings( V2 == V3, V3 == V5, V4 == V6; #110 ), references = 1, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0), P_antidomain-{F}(V3,V0) | P_domain-{T}(V2,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #116: exists( #38, #22 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V5), P_multiplication-{F}(V3,V5,V6) | P_domain_difference-{T}(V2,V4,V6)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #119: exists( #35, #20 ), references = 30, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #121: exists( #39, #23 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V3,V5), P_domain-{F}(V5,V6) | P_forward_diamond-{T}(V4,V2,V6)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #129: mergings( V2 == V3, V3 == V5, V4 == V6; #125 ), references = 1, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V0) | P_codomain-{T}(V2,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #132: exists( #34, #16 ), references = 2, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #145: exists( #31, #10 ), references = 10, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #154: exists( #31, #9 ), references = 2, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #155: exists( #31, #4 ), references = 14, size of lhs = 4:
% 272.71/273.01 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)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #161: exists( #29, #0 ), references = 31, size of lhs = 1:
% 272.71/273.01 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #162: exists( #29, #7 ), references = 10, size of lhs = 6:
% 272.71/273.01 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)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #163: exists( #29, #8 ), references = 4, size of lhs = 6:
% 272.71/273.01 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)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #171: exists( #29, #1 ), references = 17, size of lhs = 3:
% 272.71/273.01 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #177: exists( #29, #15 ), references = 14, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #185: exists( #31, #13 ), references = 17, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #199: exists( #36, #24 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_backward_diamond-{F}(V4,V2,V5), P_multiplication-{F}(V3,V4,V6) | P_codomain-{T}(V6,V5)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #220: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #212 ), references = 1, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V1), P_coantidomain-{F}(V3,V2) | P_codomain-{T}(V3,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #226: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #213 ), references = 1, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V4), P_codomain-{F}(V4,V5), P_multiplication-{F}(V4,V6,V4), P_multiplication-{F}(V5,V6,V2) | P_codomain-{T}(V3,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #240: exists( #37, #26 ), references = 10, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_backward_box-{F}(V4,V2,V5), P_backward_diamond-{F}(V4,V3,V6) | P_c-{T}(V6,V5)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #257: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #250 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_antidomain-{F}(V2,V3), P_c-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #270: mergings( V3 == V4; #267 ), references = 13, size of lhs = 5:
% 272.71/273.01 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)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #272: mergings( V3 == V4; #268 ), references = 28, size of lhs = 5:
% 272.71/273.01 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)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #305: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V13, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14; #291 ), references = 11, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V5,V3,V0), P_multiplication-{F}(V5,V1,V6) | P_codomain-{T}(V2,V6)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #317: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14; #292 ), references = 1, size of lhs = 8:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_multiplication-{F}(V5,V3,V0), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V5,V1,V6), P_addition-{F}(V6,V0,V7) | P_codomain-{T}(V2,V7)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #332: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V17, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V16; #293 ), references = 1, size of lhs = 8:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_multiplication-{F}(V5,V3,V1), P_addition-{F}(V5,V3,V0), P_multiplication-{F}(V5,V0,V6), P_multiplication-{F}(V6,V0,V7) | P_codomain-{T}(V2,V7)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #351: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #346 ), references = 1, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V0,V2), P_c-{F}(V2,V3), P_c-{F}(V4,V5), P_backward_box-{F}(V0,V4,V6), V6 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #357: mergings( V0 == V4, V4 == V6, V3 == V5, V5 == V7; #352 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V0,V2), P_c-{F}(V2,V3), P_c-{F}(V4,V5) | P_backward_box-{T}(V0,V4,V3)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #368: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #363 ), references = 1, size of lhs = 12:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V1), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_addition-{F}(V4,V6,V4), V1 == V6, P_coantidomain-{F}(V7,V6), P_coantidomain-{F}(V8,V9), P_coantidomain-{F}(V9,V10), P_multiplication-{F}(V8,V11,V2), P_multiplication-{F}(V10,V11,V7) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #376: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #370 ), references = 3, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V1), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V4,V5), P_multiplication-{F}(V3,V6,V2), P_multiplication-{F}(V5,V6,V7) | P_coantidomain-{T}(V7,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #427: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #417 ), references = 1, size of lhs = 10:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_c-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V5,V4), P_multiplication-{F}(V4,V6,V1), P_multiplication-{F}(V0,V6,V7), P_multiplication-{F}(V3,V7,V8), P_multiplication-{F}(V1,V6,V9), V8 == V9 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #440: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #429 ), references = 4, size of lhs = 7:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V0,V2,V4), P_multiplication-{F}(V3,V4,V5), P_multiplication-{F}(V1,V2,V6), V5 == V6 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #466: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #459 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V5,V4), P_multiplication-{F}(V1,V5,V6), P_antidomain-{F}(V6,V7), P_addition-{F}(V7,V3,V8), V8 == V3 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #476: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #468 ), references = 2, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V2), P_c-{F}(V2,V0) | P_antidomain-{T}(V2,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #496: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #490 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_antidomain-{F}(V3,V4), P_antidomain-{F}(V5,V4), P_antidomain-{F}(V6,V7), P_antidomain-{F}(V7,V8), P_multiplication-{F}(V9,V6,V2), P_multiplication-{F}(V9,V8,V4) | P_domain-{T}(V3,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #509: exists( #31, #22 ), references = 9, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_domain_difference-{F}(V2,V4,V5), P_antidomain-{F}(V4,V6) | P_multiplication-{T}(V3,V6,V5)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #536: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V5 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V18; #521 ), references = 4, size of lhs = 12:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V3,V3), P_multiplication-{F}(V5,V4,V0), P_coantidomain-{F}(V5,V6), P_coantidomain-{F}(V6,V7), P_addition-{F}(V7,V8,V1), P_multiplication-{F}(V8,V3,V9), P_multiplication-{F}(V9,V10,V0), P_antidomain-{F}(V11,V10) | P_domain_difference-{T}(V2,V11,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #594: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #587 ), references = 2, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V1,V5,V6), P_multiplication-{F}(V4,V5,V7), P_multiplication-{F}(V3,V5,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #610: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #599 ), references = 2, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), P_addition-{F}(V2,V4,V1), P_multiplication-{F}(V4,V2,V0), P_c-{F}(V5,V4) | P_antidomain-{T}(V4,V3)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #654: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14; #641 ), references = 1, size of lhs = 10:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_c-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V5,V4), P_multiplication-{F}(V4,V6,V1), P_multiplication-{F}(V0,V6,V7), P_addition-{F}(V8,V3,V0), P_multiplication-{F}(V8,V7,V9), V9 == V7 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #670: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15; #656 ), references = 2, size of lhs = 7:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V0,V2,V4), P_addition-{F}(V5,V3,V0), P_multiplication-{F}(V5,V4,V6), V6 == V4 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #684: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #679 ), references = 1, size of lhs = 12:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_antidomain-{F}(V3,V4), P_antidomain-{F}(V5,V4), P_addition-{F}(V4,V6,V4), V1 == V6, P_antidomain-{F}(V7,V6), P_antidomain-{F}(V8,V9), P_antidomain-{F}(V9,V10), P_multiplication-{F}(V11,V8,V2), P_multiplication-{F}(V11,V10,V7) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #692: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #686 ), references = 3, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_antidomain-{F}(V3,V4), P_antidomain-{F}(V4,V5), P_multiplication-{F}(V6,V3,V2), P_multiplication-{F}(V6,V5,V7) | P_antidomain-{T}(V7,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #708: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15; #696 ), references = 2, size of lhs = 12:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V0,V2), P_multiplication-{F}(V1,V3,V3), P_antidomain-{F}(V4,V1), P_multiplication-{F}(V5,V3,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V1,V6,V7), V7 == V0, P_c-{F}(V8,V9), P_backward_box-{F}(V10,V8,V0), P_backward_diamond-{F}(V10,V9,V3) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #758: mergings( V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V34, V3 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V38 == V39; #723 ), references = 1, size of lhs = 11:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V0,V1), P_backward_box-{F}(V1,V2,V0), P_c-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V4,V1,V4), P_multiplication-{F}(V1,V4,V5), V5 == V0, P_coantidomain-{F}(V6,V4), P_c-{F}(V7,V3) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #796: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V34, V34 == V36, V5 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37; #761 ), references = 1, size of lhs = 6:
% 272.71/273.01 P_zero-{F}(V0), P_antidomain-{F}(V0,V1), P_one-{F}(V1), P_backward_box-{F}(V1,V2,V0), P_c-{F}(V2,V3), P_c-{F}(V4,V3) | P_coantidomain-{T}(V3,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #837: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V22 == V23, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12; #825 ), references = 3, size of lhs = 14:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_addition-{F}(V3,V5,V3), P_c-{F}(V6,V7), P_multiplication-{F}(V0,V6,V8), P_multiplication-{F}(V1,V6,V9), P_multiplication-{F}(V10,V5,V7), P_multiplication-{F}(V10,V0,V11), P_multiplication-{F}(V11,V12,V1), P_addition-{F}(V8,V12,V13), P_multiplication-{F}(V7,V13,V14), V14 == V9 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #910: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20; #889 ), references = 1, size of lhs = 7:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_backward_box-{F}(V0,V2,V0), P_c-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V4,V0,V4), P_coantidomain-{F}(V5,V4) | P_codomain-{T}(V3,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #930: mergings( V2 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V3 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21; #890 ), references = 6, size of lhs = 10:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_coantidomain-{F}(V3,V2), P_multiplication-{F}(V4,V2,V1), P_multiplication-{F}(V4,V0,V5), P_coantidomain-{F}(V6,V2), P_c-{F}(V7,V6), P_backward_box-{F}(V0,V7,V8), P_addition-{F}(V4,V8,V0) | P_codomain-{T}(V6,V5)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #950: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21; #891 ), references = 1, size of lhs = 13:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_backward_box-{F}(V0,V2,V0), P_c-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V4,V0,V4), P_coantidomain-{F}(V5,V4), P_multiplication-{F}(V6,V1,V1), P_multiplication-{F}(V7,V0,V6), P_multiplication-{F}(V7,V8,V0), P_addition-{F}(V9,V8,V9), P_coantidomain-{F}(V10,V9), P_coantidomain-{F}(V11,V9) | P_codomain-{T}(V3,V1)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1007: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V44, V44 == V45, V45 == V47, V2 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V25, V25 == V28, V28 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V46, V46 == V48; #961 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_backward_box-{F}(V1,V2,V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V1,V4), V0 == V4, P_c-{F}(V5,V3), P_backward_box-{F}(V1,V5,V6), P_addition-{F}(V3,V6,V1) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1053: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V44, V44 == V45, V45 == V47, V2 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V25, V25 == V28, V28 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V46, V46 == V48, V53 == V54; #962 ), references = 1, size of lhs = 11:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_backward_box-{F}(V1,V2,V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V1,V4), V4 == V0, P_c-{F}(V5,V3), P_backward_box-{F}(V1,V5,V6), P_addition-{F}(V3,V6,V1), P_codomain-{F}(V7,V8), P_multiplication-{F}(V8,V9,V3) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1090: mergings( V3 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V2 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V15; #1076 ), references = 1, size of lhs = 13:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V1,V4), P_addition-{F}(V2,V5,V1), P_backward_box-{F}(V1,V6,V5), P_c-{F}(V6,V7), P_addition-{F}(V3,V7,V1), P_multiplication-{F}(V7,V1,V8), V8 == V4, P_c-{F}(V9,V7), P_backward_box-{F}(V1,V9,V10), P_addition-{F}(V7,V10,V1) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1104: mergings( V3 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V2 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V15, V25 == V26; #1077 ), references = 1, size of lhs = 15:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V1,V4), P_addition-{F}(V2,V5,V1), P_backward_box-{F}(V1,V6,V5), P_c-{F}(V6,V7), P_addition-{F}(V3,V7,V1), P_multiplication-{F}(V7,V1,V8), V4 == V8, P_c-{F}(V9,V7), P_backward_box-{F}(V1,V9,V10), P_addition-{F}(V7,V10,V1), P_codomain-{F}(V11,V12), P_multiplication-{F}(V12,V13,V7) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1175: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V28 == V29, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22; #1152 ), references = 2, size of lhs = 19:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_coantidomain-{F}(V3,V2), P_addition-{F}(V2,V4,V2), P_multiplication-{F}(V5,V4,V2), P_multiplication-{F}(V5,V0,V6), P_addition-{F}(V6,V0,V7), P_coantidomain-{F}(V8,V2), P_c-{F}(V9,V8), P_backward_box-{F}(V0,V9,V10), P_multiplication-{F}(V10,V7,V11), V11 == V1, P_multiplication-{F}(V12,V6,V1), P_multiplication-{F}(V13,V0,V12), P_multiplication-{F}(V13,V14,V10), P_addition-{F}(V15,V14,V15), P_coantidomain-{F}(V16,V15), P_coantidomain-{F}(V17,V15) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1196: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22; #1153 ), references = 1, size of lhs = 10:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_coantidomain-{F}(V3,V2), P_coantidomain-{F}(V4,V2), P_c-{F}(V5,V4), P_backward_box-{F}(V0,V5,V6), P_multiplication-{F}(V6,V2,V1), P_multiplication-{F}(V6,V0,V7), V7 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1238: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V32 == V33, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29; #1208 ), references = 1, size of lhs = 15:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V3), P_addition-{F}(V3,V0,V4), P_addition-{F}(V2,V5,V0), P_c-{F}(V6,V5), P_backward_box-{F}(V0,V6,V7), P_multiplication-{F}(V7,V4,V8), V8 == V1, P_multiplication-{F}(V9,V3,V1), P_multiplication-{F}(V10,V0,V9), P_multiplication-{F}(V10,V11,V7), P_addition-{F}(V12,V11,V12), P_coantidomain-{F}(V13,V12), P_coantidomain-{F}(V14,V12) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1267: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V2 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30; #1209 ), references = 1, size of lhs = 8:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V4,V3,V0), P_backward_box-{F}(V0,V2,V5), P_multiplication-{F}(V5,V4,V1), P_multiplication-{F}(V5,V0,V6), V6 == V1 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1391: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V4 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V31 == V37; #1364 ), references = 1, size of lhs = 20:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_multiplication-{F}(V2,V1,V3), P_addition-{F}(V3,V4,V1), P_multiplication-{F}(V5,V4,V4), P_multiplication-{F}(V6,V5,V0), P_coantidomain-{F}(V6,V7), P_multiplication-{F}(V7,V1,V7), P_multiplication-{F}(V2,V7,V0), P_coantidomain-{F}(V8,V7), P_domain-{F}(V9,V4), P_multiplication-{F}(V4,V1,V10), P_multiplication-{F}(V4,V7,V11), P_addition-{F}(V0,V11,V12), V10 == V12, P_backward_box-{F}(V1,V13,V7), P_c-{F}(V13,V14), P_coantidomain-{F}(V14,V7) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1470: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V9, V4 == V5, V5 == V8, V8 == V10, V11 == V15; #1460 ), references = 1, size of lhs = 7:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_coantidomain-{F}(V5,V3), P_coantidomain-{F}(V6,V3), P_coantidomain-{F}(V3,V7) | P_domain-{T}(V2,V7)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1478: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V9, V4 == V5, V5 == V8, V8 == V10; #1461 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_coantidomain-{F}(V5,V3), P_coantidomain-{F}(V6,V3), P_codomain-{F}(V7,V8), P_multiplication-{F}(V8,V9,V6), P_backward_diamond-{F}(V9,V7,V10) | P_domain-{T}(V2,V10)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1516: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V13, V5 == V6, V6 == V8, V8 == V11, V11 == V12; #1505 ), references = 2, size of lhs = 20:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_multiplication-{F}(V0,V3,V2), P_addition-{F}(V2,V3,V2), P_coantidomain-{F}(V4,V2), P_coantidomain-{F}(V5,V2), P_c-{F}(V6,V5), P_backward_box-{F}(V0,V6,V7), P_multiplication-{F}(V7,V0,V8), V8 == V1, P_multiplication-{F}(V9,V3,V1), P_antidomain-{F}(V10,V9), P_antidomain-{F}(V11,V9), P_c-{F}(V10,V12), P_multiplication-{F}(V13,V0,V12), P_multiplication-{F}(V13,V14,V7), P_addition-{F}(V15,V14,V15), P_coantidomain-{F}(V16,V15), P_coantidomain-{F}(V17,V15) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1530: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V14, V2 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V13; #1518 ), references = 1, size of lhs = 17:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_multiplication-{F}(V0,V3,V2), P_addition-{F}(V2,V3,V2), P_coantidomain-{F}(V4,V2), P_c-{F}(V3,V5), P_multiplication-{F}(V6,V0,V5), P_coantidomain-{F}(V7,V2), P_c-{F}(V8,V7), P_backward_box-{F}(V0,V8,V9), P_multiplication-{F}(V9,V0,V10), V10 == V1, P_multiplication-{F}(V6,V11,V9), P_addition-{F}(V12,V11,V12), P_coantidomain-{F}(V13,V12), P_coantidomain-{F}(V14,V12) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1546: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V17, V4 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V16; #1532 ), references = 1, size of lhs = 19:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_coantidomain-{F}(V3,V2), P_multiplication-{F}(V0,V4,V2), P_addition-{F}(V2,V4,V2), P_coantidomain-{F}(V5,V2), P_c-{F}(V6,V5), P_backward_box-{F}(V0,V6,V7), P_multiplication-{F}(V7,V0,V8), V8 == V1, P_c-{F}(V9,V10), P_backward_diamond-{F}(V11,V10,V4), P_backward_box-{F}(V11,V9,V12), P_multiplication-{F}(V13,V0,V12), P_multiplication-{F}(V13,V14,V7), P_addition-{F}(V15,V14,V15), P_coantidomain-{F}(V16,V15), P_coantidomain-{F}(V17,V15) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1624: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22; #1604 ), references = 1, size of lhs = 20:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V3,V4), P_antidomain-{F}(V5,V6), P_multiplication-{F}(V4,V7,V8), P_multiplication-{F}(V8,V9,V0), P_addition-{F}(V6,V7,V10), P_multiplication-{F}(V4,V10,V11), P_multiplication-{F}(V11,V9,V0), P_addition-{F}(V12,V9,V1), P_antidomain-{F}(V13,V12), P_antidomain-{F}(V14,V13), P_multiplication-{F}(V15,V6,V16), P_multiplication-{F}(V16,V17,V0), P_addition-{F}(V15,V4,V18), P_multiplication-{F}(V18,V6,V19), P_multiplication-{F}(V19,V17,V20), P_multiplication-{F}(V20,V21,V2), P_multiplication-{F}(V17,V21,V14) | P_domain_difference-{T}(V3,V5,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1642: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V20, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21; #1605 ), references = 1, size of lhs = 25:
% 272.71/273.01 P_zero-{F}(V0), P_antidomain-{F}(V0,V1), P_one-{F}(V1), P_multiplication-{F}(V1,V1,V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V3,V4), P_antidomain-{F}(V5,V6), P_c-{F}(V7,V8), P_backward_box-{F}(V9,V7,V0), P_backward_diamond-{F}(V9,V8,V1), P_multiplication-{F}(V4,V10,V11), P_multiplication-{F}(V11,V12,V0), P_addition-{F}(V6,V10,V13), P_multiplication-{F}(V4,V13,V14), P_multiplication-{F}(V14,V12,V0), P_addition-{F}(V15,V12,V1), P_antidomain-{F}(V16,V15), P_antidomain-{F}(V17,V16), P_multiplication-{F}(V18,V6,V19), P_multiplication-{F}(V19,V20,V0), P_addition-{F}(V18,V4,V21), P_multiplication-{F}(V21,V6,V22), P_multiplication-{F}(V22,V20,V23), P_multiplication-{F}(V23,V24,V2), P_multiplication-{F}(V20,V24,V17) | P_domain_difference-{T}(V3,V5,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1757: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V55 == V57, V45 == V58, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V44, V44 == V46, V51 == V53, V54 == V57, V66 == V72; #1707 ), references = 2, size of lhs = 35:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_addition-{F}(V1,V3,V1), P_multiplication-{F}(V1,V3,V4), P_antidomain-{F}(V5,V1), P_multiplication-{F}(V0,V6,V5), P_addition-{F}(V7,V1,V1), P_antidomain-{F}(V8,V7), P_multiplication-{F}(V1,V7,V9), P_multiplication-{F}(V9,V10,V0), P_multiplication-{F}(V10,V6,V11), P_antidomain-{F}(V11,V12), P_multiplication-{F}(V12,V3,V0), P_antidomain-{F}(V13,V12), P_antidomain-{F}(V14,V12), P_antidomain-{F}(V15,V12), P_multiplication-{F}(V16,V12,V12), P_multiplication-{F}(V17,V18,V0), P_coantidomain-{F}(V17,V19), P_coantidomain-{F}(V19,V20), P_addition-{F}(V20,V21,V1), P_multiplication-{F}(V18,V22,V22), P_multiplication-{F}(V21,V22,V4), P_domain-{F}(V23,V22), P_addition-{F}(V24,V22,V16), P_multiplication-{F}(V24,V1,V25), P_multiplication-{F}(V25,V26,V0), P_multiplication-{F}(V24,V2,V27), P_multiplication-{F}(V27,V26,V0), P_addition-{F}(V7,V26,V28), P_multiplication-{F}(V12,V28,V29), P_addition-{F}(V0,V29,V30), V9 == V30 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1806: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V55 == V57, V45 == V58, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V44, V44 == V46, V51 == V53, V54 == V57, V67 == V73; #1708 ), references = 1, size of lhs = 36:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_addition-{F}(V1,V3,V1), P_multiplication-{F}(V1,V3,V4), P_antidomain-{F}(V5,V1), P_multiplication-{F}(V0,V6,V5), P_addition-{F}(V7,V1,V1), P_antidomain-{F}(V8,V7), P_multiplication-{F}(V1,V7,V9), P_multiplication-{F}(V9,V10,V0), P_multiplication-{F}(V10,V6,V11), P_antidomain-{F}(V11,V12), P_multiplication-{F}(V12,V3,V0), P_antidomain-{F}(V13,V12), P_antidomain-{F}(V14,V12), P_antidomain-{F}(V15,V12), P_c-{F}(V16,V12), P_multiplication-{F}(V17,V12,V12), P_multiplication-{F}(V18,V19,V0), P_coantidomain-{F}(V18,V20), P_coantidomain-{F}(V20,V21), P_addition-{F}(V21,V22,V1), P_multiplication-{F}(V19,V23,V23), P_multiplication-{F}(V22,V23,V4), P_domain-{F}(V24,V23), P_addition-{F}(V25,V23,V17), P_multiplication-{F}(V25,V2,V26), P_multiplication-{F}(V25,V1,V27), P_multiplication-{F}(V27,V28,V0), P_multiplication-{F}(V26,V28,V0), P_addition-{F}(V7,V28,V29), P_multiplication-{F}(V12,V29,V30), P_addition-{F}(V0,V30,V31), V9 == V31 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1820: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V6, V6 == V8; #1814 ), references = 1, size of lhs = 26:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_addition-{F}(V1,V3,V1), P_multiplication-{F}(V1,V3,V4), P_antidomain-{F}(V5,V1), P_multiplication-{F}(V0,V6,V5), P_multiplication-{F}(V7,V6,V3), P_addition-{F}(V8,V1,V1), P_antidomain-{F}(V9,V8), P_multiplication-{F}(V1,V8,V10), P_multiplication-{F}(V10,V7,V0), P_addition-{F}(V8,V11,V1), P_multiplication-{F}(V12,V11,V0), P_multiplication-{F}(V13,V1,V12), P_multiplication-{F}(V13,V2,V14), P_multiplication-{F}(V14,V11,V0), P_addition-{F}(V13,V15,V1), P_multiplication-{F}(V16,V15,V15), P_multiplication-{F}(V17,V16,V0), P_coantidomain-{F}(V17,V18), P_coantidomain-{F}(V18,V19), P_addition-{F}(V19,V20,V1), P_multiplication-{F}(V20,V15,V4), P_domain-{F}(V21,V15) | P_antidomain-{T}(V3,V10)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1847: mergings( V2 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V3 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15; #1834 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_addition-{F}(V3,V2,V1), P_multiplication-{F}(V3,V2,V0), P_multiplication-{F}(V3,V1,V4), P_c-{F}(V5,V2), P_backward_box-{F}(V1,V5,V6), P_addition-{F}(V2,V6,V1) | P_coantidomain-{T}(V2,V4)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1901: mergings( V2 == V4, V4 == V5, V5 == V7, V3 == V6; #1896 ), references = 1, size of lhs = 21:
% 272.71/273.01 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_coantidomain-{F}(V3,V2), P_multiplication-{F}(V0,V4,V2), P_addition-{F}(V2,V4,V2), P_coantidomain-{F}(V5,V2), P_c-{F}(V6,V5), P_backward_box-{F}(V0,V6,V7), P_multiplication-{F}(V7,V0,V8), V8 == V1, P_c-{F}(V9,V10), P_multiplication-{F}(V11,V0,V10), P_multiplication-{F}(V11,V12,V7), P_addition-{F}(V13,V12,V13), P_coantidomain-{F}(V14,V13), P_coantidomain-{F}(V15,V13), P_multiplication-{F}(V9,V16,V17), P_multiplication-{F}(V1,V16,V18), P_multiplication-{F}(V17,V19,V4), P_multiplication-{F}(V18,V19,V1) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #1984: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1970 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V5,V4), P_multiplication-{F}(V1,V4,V6), P_multiplication-{F}(V3,V1,V7), P_addition-{F}(V7,V0,V8), V6 == V8 | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2001: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #1986 ), references = 1, size of lhs = 5:
% 272.71/273.01 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V1,V4), P_addition-{F}(V4,V0,V5) | P_antidomain-{T}(V2,V5)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2062: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V5 == V7, V7 == V12, V12 == V14, V14 == V16; #2049 ), references = 1, size of lhs = 10:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V2,V5,V0), P_addition-{F}(V4,V6,V1), P_multiplication-{F}(V5,V7,V7), P_multiplication-{F}(V6,V7,V8), P_multiplication-{F}(V8,V9,V0) | P_multiplication-{T}(V7,V9,V0)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2122: mergings( V2 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V29 == V35, V3 == V4, V4 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V22, V22 == V24; #2097 ), references = 1, size of lhs = 17:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_addition-{F}(V3,V5,V3), P_multiplication-{F}(V6,V5,V3), P_coantidomain-{F}(V7,V3), P_multiplication-{F}(V7,V8,V0), P_multiplication-{F}(V6,V1,V9), P_multiplication-{F}(V8,V9,V9), P_multiplication-{F}(V9,V3,V10), P_addition-{F}(V0,V10,V11), P_multiplication-{F}(V9,V1,V12), V12 == V11, P_addition-{F}(V9,V1,V13), P_multiplication-{F}(V3,V13,V3) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2162: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V33 == V35, V35 == V36, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V26, V26 == V28, V28 == V30, V30 == V32; #2130 ), references = 2, size of lhs = 8:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V3,V2,V2), P_multiplication-{F}(V4,V3,V0), P_addition-{F}(V2,V4,V1) | P_coantidomain-{T}(V4,V2)
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2195: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V10, V10 == V11, V5 == V6, V6 == V8, V8 == V9, V9 == V12; #2185 ), references = 1, size of lhs = 9:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), pppp0-{F}(V1,V2), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V1,V3), P_multiplication-{F}(V1,V3,V3), P_addition-{F}(V3,V3,V3), P_antidomain-{F}(V4,V3) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2212: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V13, V13 == V14, V8 == V9, V9 == V11, V11 == V12, V12 == V15; #2199 ), references = 1, size of lhs = 4:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1), pppp0-{F}(V1,V2) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2227: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V14, V9 == V10, V10 == V12, V12 == V1, V1 == V15; #2213 ), references = 1, size of lhs = 3:
% 272.71/273.01 P_zero-{F}(V0), P_coantidomain-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2245: 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; #2231 ), references = 1, size of lhs = 1:
% 272.71/273.01 P_zero-{F}(V0) | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 #2247: exists( #30, #2231 ), references = 1, size of lhs = 0:
% 272.71/273.01 FALSE | FALSE
% 272.71/273.01 (used 0 times, uses = {})
% 272.71/273.01
% 272.71/273.01 number of learnt formulas = 96
% 272.71/273.01
% 272.71/273.01
% 272.71/273.01 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 272.71/273.01
% 272.71/273.01 randbase = 1
%------------------------------------------------------------------------------