TSTP Solution File: KLE135+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE135+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:07:09 EDT 2022
% Result : Theorem 28.07s 28.25s
% Output : Refutation 28.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE135+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 16:44:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 28.07/28.25 GeoParameters:
% 28.07/28.25
% 28.07/28.25 tptp_input = 1
% 28.07/28.25 tptp_output = 0
% 28.07/28.25 nonempty = 1
% 28.07/28.25 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.07/28.25 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 28.07/28.25
% 28.07/28.25
% 28.07/28.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.07/28.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.07/28.25
% 28.07/28.25 RuleSystem INPUT:
% 28.07/28.25
% 28.07/28.25 Initial Rules:
% 28.07/28.25 #0: input, references = 4, size of lhs = 3:
% 28.07/28.25 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #1: input, references = 4, size of lhs = 5:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #2: input, references = 4, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #3: input, references = 4, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #4: input, references = 3, size of lhs = 6:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #5: input, references = 4, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #6: input, references = 6, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #7: input, references = 5, size of lhs = 8:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #8: input, references = 7, size of lhs = 8:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #9: input, references = 4, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #10: input, references = 4, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #11: input, references = 3, size of lhs = 5:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #12: input, references = 3, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #13: input, references = 5, size of lhs = 5:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #14: input, references = 5, size of lhs = 10:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #15: input, references = 6, size of lhs = 6:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #16: input, references = 6, size of lhs = 6:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #17: input, references = 4, size of lhs = 5:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #18: input, references = 5, size of lhs = 10:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #19: input, references = 6, size of lhs = 6:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #20: input, references = 5, size of lhs = 6:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #21: input, references = 4, size of lhs = 6:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #22: input, references = 4, size of lhs = 7:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #23: input, references = 5, size of lhs = 7:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #24: input, references = 5, size of lhs = 7:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #25: input, references = 6, size of lhs = 7:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #26: input, references = 5, size of lhs = 7:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #27: input, references = 4, size of lhs = 5:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_divergence-{F}(V2,V3), P_forward_diamond-{F}(V2,V3,V4), V4 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #28: input, references = 5, size of lhs = 13:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V5), P_forward_diamond-{F}(V3,V5,V6), P_domain-{F}(V4,V7), P_addition-{F}(V6,V7,V8), P_addition-{F}(V5,V8,V8), P_divergence-{F}(V3,V10), P_star-{F}(V3,V11), P_forward_diamond-{F}(V11,V7,V12), P_addition-{F}(V10,V12,V13), P_addition-{F}(V5,V13,V14), V14 == V13 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #29: input, references = 4, size of lhs = 2:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #30: input, references = 4, size of lhs = 5:
% 28.07/28.25 pppp0-{F}(V0,V1,V2), P_divergence-{F}(V0,V3), P_star-{F}(V0,V4), P_antidomain-{F}(V0,V5), P_forward_diamond-{F}(V4,V5,V2) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #31: input, references = 4, size of lhs = 6:
% 28.07/28.25 pppp0-{F}(V0,V1,V2), P_divergence-{F}(V0,V3), P_star-{F}(V0,V4), P_antidomain-{F}(V0,V5), P_forward_diamond-{F}(V4,V5,V6), V3 == V1 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #32: input, references = 11, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #33: input, references = 4, size of lhs = 0:
% 28.07/28.25 FALSE | EXISTS V0: P_zero-{T}(V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #34: input, references = 11, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #35: input, references = 4, size of lhs = 0:
% 28.07/28.25 FALSE | EXISTS V0: P_one-{T}(V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #36: input, references = 10, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #37: input, references = 9, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #38: input, references = 7, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #39: input, references = 8, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #40: input, references = 7, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #41: input, references = 4, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_domain_difference-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #42: input, references = 7, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_diamond-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #43: input, references = 4, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_diamond-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #44: input, references = 6, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_box-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #45: input, references = 5, size of lhs = 2:
% 28.07/28.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_box-{T}(V0,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #46: input, references = 5, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_divergence-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #47: input, references = 6, size of lhs = 1:
% 28.07/28.25 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 number of initial rules = 48
% 28.07/28.25
% 28.07/28.25 Simplifiers:
% 28.07/28.25 #48: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #49: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #50: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #51: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #52: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #53: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #54: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #55: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #56: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #57: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_domain_difference-{F}(V0,V1,V2), P_domain_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #58: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_forward_diamond-{F}(V0,V1,V2), P_forward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #59: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_backward_diamond-{F}(V0,V1,V2), P_backward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #60: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_forward_box-{F}(V0,V1,V2), P_forward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #61: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_backward_box-{F}(V0,V1,V2), P_backward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #62: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_divergence-{F}(V0,V1), P_divergence-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #63: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #64: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #65: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #66: unsound, references = 3, size of lhs = 3:
% 28.07/28.25 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 number of simplifiers = 19
% 28.07/28.25
% 28.07/28.25 Learnt:
% 28.07/28.25 #68: exists( #32, #3 ), references = 3, size of lhs = 2:
% 28.07/28.25 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #70: exists( #42, #27 ), references = 2, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_divergence-{F}(V2,V3) | P_forward_diamond-{T}(V2,V3,V3)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #72: exists( #44, #25 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #74: exists( #36, #21 ), references = 7, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_domain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #79: mergings( V2 == V4, V3 == V5; #76 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #81: exists( #37, #16 ), references = 7, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #83: exists( #39, #20 ), references = 1, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #85: exists( #32, #2 ), references = 15, size of lhs = 2:
% 28.07/28.25 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #91: exists( #38, #20 ), references = 5, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #105: exists( #34, #9 ), references = 3, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #106: exists( #34, #17 ), references = 3, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #114: mergings( V0 == V2; #112 ), references = 1, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0) | P_coantidomain-{T}(V0,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #122: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #117 ), references = 1, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V1) | P_codomain-{T}(V2,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #124: exists( #32, #0 ), references = 8, size of lhs = 1:
% 28.07/28.25 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #131: mergings( V2 == V4, V3 == V0; #128 ), references = 1, size of lhs = 2:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #134: exists( #34, #5 ), references = 5, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #135: exists( #34, #6 ), references = 6, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #141: exists( #43, #24 ), references = 2, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #146: mergings( V2 == V3, V0 == V4; #143 ), references = 2, size of lhs = 2:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #151: exists( #41, #22 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #154: exists( #36, #16 ), references = 6, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #161: mergings( V2 == V3, V3 == V5, V4 == V6; #157 ), references = 2, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0), P_antidomain-{F}(V3,V0) | P_domain-{T}(V2,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #163: exists( #42, #23 ), references = 8, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #171: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #166 ), references = 3, size of lhs = 13:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V0), P_domain-{F}(V4,V3), P_domain-{F}(V5,V6), P_addition-{F}(V6,V7,V7), P_addition-{F}(V8,V3,V7), P_forward_diamond-{F}(V9,V6,V8), P_divergence-{F}(V9,V10), P_addition-{F}(V10,V2,V11), P_addition-{F}(V6,V11,V12), V12 == V11 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #173: exists( #45, #26 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #181: exists( #32, #171 ), references = 2, size of lhs = 11:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V0), P_domain-{F}(V4,V3), P_domain-{F}(V5,V6), P_addition-{F}(V6,V7,V7), P_addition-{F}(V8,V3,V7), P_forward_diamond-{F}(V9,V6,V8), P_divergence-{F}(V9,V10), P_addition-{F}(V10,V2,V11) | P_addition-{T}(V6,V11,V11)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #195: exists( #34, #10 ), references = 2, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #209: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #204 ), references = 3, size of lhs = 7:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_domain-{F}(V5,V6), P_multiplication-{F}(V7,V6,V4), P_forward_diamond-{F}(V7,V5,V8) | P_c-{T}(V2,V8)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #239: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24; #218 ), references = 1, size of lhs = 16:
% 28.07/28.25 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_divergence-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V2, P_antidomain-{F}(V4,V5), P_antidomain-{F}(V5,V6), P_domain-{F}(V7,V6), P_domain-{F}(V8,V0), P_domain-{F}(V9,V8), P_addition-{F}(V5,V8,V10), P_addition-{F}(V5,V10,V10), P_domain-{F}(V11,V12), P_multiplication-{F}(V13,V12,V6), P_forward_diamond-{F}(V13,V11,V4) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #267: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28; #242 ), references = 1, size of lhs = 13:
% 28.07/28.25 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_divergence-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V2, P_antidomain-{F}(V4,V5), P_antidomain-{F}(V6,V5), P_forward_diamond-{F}(V2,V6,V4), P_domain-{F}(V7,V0), P_domain-{F}(V8,V7), P_addition-{F}(V5,V7,V9), P_addition-{F}(V5,V9,V9) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #298: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V29 == V28; #270 ), references = 1, size of lhs = 8:
% 28.07/28.25 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_divergence-{F}(V1,V2), P_addition-{F}(V2,V0,V3), V3 == V1, P_forward_diamond-{F}(V1,V3,V3), P_domain-{F}(V4,V0) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #330: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V4 == V9, V9 == V0, V0 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #301 ), references = 1, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_domain-{F}(V2,V0) | P_divergence-{T}(V1,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #369: exists( #39, #24 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #383: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #378 ), references = 1, size of lhs = 8:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_codomain-{F}(V3,V4), P_multiplication-{F}(V2,V1,V5), P_coantidomain-{F}(V5,V6), P_addition-{F}(V6,V4,V7), V7 == V4 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #387: mergings( V2 == V3, V3 == V5, V4 == V6; #377 ), references = 1, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V0) | P_coantidomain-{T}(V2,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #390: exists( #34, #13 ), references = 4, size of lhs = 3:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #417: exists( #32, #415 ), references = 1, size of lhs = 8:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V5,V2,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V5,V4,V8), P_antidomain-{F}(V8,V9) | P_addition-{T}(V9,V7,V9)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #431: exists( #42, #31 ), references = 1, size of lhs = 5:
% 28.07/28.25 P_divergence-{F}(V0,V1), P_star-{F}(V0,V2), P_antidomain-{F}(V0,V3), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #433: exists( #47, #430 ), references = 1, size of lhs = 4:
% 28.07/28.25 P_divergence-{F}(V0,V1), P_antidomain-{F}(V0,V2), pppp0-{F}(V0,V3,V4), V1 == V3 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #435: exists( #46, #432 ), references = 2, size of lhs = 2:
% 28.07/28.25 P_antidomain-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | P_divergence-{T}(V0,V2)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #463: exists( #32, #1 ), references = 1, size of lhs = 3:
% 28.07/28.25 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #481: mergings( V3 == V5, V4 == V6; #478 ), references = 2, size of lhs = 9:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V3,V5), P_antidomain-{F}(V5,V6), P_domain-{F}(V7,V6), P_c-{F}(V8,V9), P_forward_diamond-{F}(V10,V9,V7), P_forward_box-{F}(V10,V8,V11) | P_forward_diamond-{T}(V4,V2,V11)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #518: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V20 == V21, V23 == V25, V24 == V26, V26 == V28; #501 ), references = 1, size of lhs = 15:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_c-{F}(V2,V3), P_domain-{F}(V4,V5), P_multiplication-{F}(V6,V5,V7), P_antidomain-{F}(V7,V8), P_domain-{F}(V9,V8), P_domain-{F}(V10,V8), P_antidomain-{F}(V11,V8), P_c-{F}(V12,V11), P_forward_box-{F}(V0,V12,V13), V13 == V3, P_c-{F}(V14,V15), P_forward_diamond-{F}(V16,V15,V10) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #536: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V19 == V20, V22 == V24, V23 == V25, V25 == V27; #519 ), references = 1, size of lhs = 13:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_c-{F}(V2,V3), P_domain-{F}(V4,V5), P_multiplication-{F}(V6,V5,V7), P_antidomain-{F}(V7,V8), P_domain-{F}(V9,V8), P_domain-{F}(V10,V8), P_antidomain-{F}(V11,V8), P_c-{F}(V12,V11), P_c-{F}(V13,V14), P_forward_diamond-{F}(V15,V14,V10) | P_forward_box-{T}(V0,V12,V3)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #568: exists( #32, #28 ), references = 1, size of lhs = 11:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V4), P_forward_diamond-{F}(V5,V3,V6), P_divergence-{F}(V5,V7), P_star-{F}(V5,V8), P_addition-{F}(V6,V9,V4), P_domain-{F}(V10,V9), P_forward_diamond-{F}(V8,V9,V11), P_addition-{F}(V7,V11,V12) | P_addition-{T}(V3,V12,V12)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #587: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V7 == V9; #579 ), references = 1, size of lhs = 18:
% 28.07/28.25 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_divergence-{F}(V3,V0), P_star-{F}(V3,V4), P_divergence-{F}(V4,V5), P_addition-{F}(V5,V0,V6), P_domain-{F}(V7,V8), P_domain-{F}(V8,V9), P_domain-{F}(V10,V8), P_domain-{F}(V11,V8), P_forward_diamond-{F}(V3,V8,V12), P_addition-{F}(V12,V8,V13), P_addition-{F}(V8,V13,V13), P_multiplication-{F}(V4,V9,V14), P_addition-{F}(V8,V6,V15), V15 == V6 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #597: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #580 ), references = 3, size of lhs = 15:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_divergence-{F}(V2,V0), P_star-{F}(V2,V3), P_domain-{F}(V4,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V3,V6,V7), P_antidomain-{F}(V7,V8), P_domain-{F}(V9,V10), P_multiplication-{F}(V10,V8,V11), P_addition-{F}(V11,V0,V12), V0 == V12, P_forward_diamond-{F}(V2,V10,V13), P_addition-{F}(V13,V5,V14), P_addition-{F}(V10,V14,V14) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #609: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V7 == V9; #602 ), references = 1, size of lhs = 18:
% 28.07/28.25 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_divergence-{F}(V3,V0), P_star-{F}(V3,V4), pppp0-{F}(V4,V5,V6), P_addition-{F}(V5,V0,V7), P_domain-{F}(V8,V9), P_domain-{F}(V9,V10), P_domain-{F}(V11,V9), P_domain-{F}(V12,V9), P_forward_diamond-{F}(V3,V9,V13), P_addition-{F}(V13,V9,V14), P_addition-{F}(V9,V14,V14), P_multiplication-{F}(V4,V10,V15), P_addition-{F}(V9,V7,V16), V16 == V7 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #621: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #616 ), references = 1, size of lhs = 12:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_divergence-{F}(V2,V0), P_star-{F}(V2,V3), P_domain-{F}(V4,V1), P_forward_diamond-{F}(V2,V1,V5), P_addition-{F}(V1,V6,V6), P_addition-{F}(V5,V7,V6), P_domain-{F}(V7,V8), P_multiplication-{F}(V3,V8,V9), P_antidomain-{F}(V10,V9), P_domain-{F}(V11,V7) | P_domain-{T}(V10,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #692: mergings( V2 == V4, V3 == V5; #689 ), references = 3, size of lhs = 11:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_divergence-{F}(V2,V0), P_star-{F}(V2,V3), P_domain-{F}(V4,V1), P_forward_diamond-{F}(V2,V1,V5), P_addition-{F}(V1,V6,V6), P_addition-{F}(V5,V7,V6), P_domain-{F}(V8,V7), P_domain-{F}(V7,V9), P_multiplication-{F}(V3,V9,V10) | P_antidomain-{T}(V10,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #702: exists( #32, #15 ), references = 3, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #703: exists( #32, #19 ), references = 1, size of lhs = 4:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #704: exists( #32, #7 ), references = 2, size of lhs = 6:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #713: mergings( V3 == V4; #710 ), references = 3, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #715: mergings( V3 == V4; #711 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #731: exists( #34, #8 ), references = 2, size of lhs = 6:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #742: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #737 ), references = 1, size of lhs = 7:
% 28.07/28.25 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
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #748: mergings( V0 == V4, V4 == V6, V3 == V5, V5 == V7; #743 ), references = 1, size of lhs = 5:
% 28.07/28.25 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)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #762: mergings( V2 == V3, V3 == V5, V4 == V6; #758 ), references = 1, size of lhs = 8:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V5,V6,V4), P_coantidomain-{F}(V5,V7), P_coantidomain-{F}(V7,V8), P_multiplication-{F}(V8,V6,V2) | P_codomain-{T}(V3,V0)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #795: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V17; #785 ), references = 1, size of lhs = 23:
% 28.07/28.25 P_zero-{F}(V0), P_divergence-{F}(V1,V0), P_star-{F}(V1,V2), P_one-{F}(V3), P_domain-{F}(V4,V3), P_forward_diamond-{F}(V1,V3,V5), P_antidomain-{F}(V0,V6), P_addition-{F}(V3,V7,V7), P_addition-{F}(V5,V8,V7), P_domain-{F}(V9,V8), P_domain-{F}(V8,V10), P_multiplication-{F}(V11,V10,V0), P_addition-{F}(V11,V12,V2), P_multiplication-{F}(V13,V6,V14), P_antidomain-{F}(V14,V15), P_multiplication-{F}(V13,V16,V0), P_multiplication-{F}(V12,V17,V16), P_addition-{F}(V17,V10,V18), P_multiplication-{F}(V12,V18,V19), P_multiplication-{F}(V13,V19,V20), P_antidomain-{F}(V20,V21), P_addition-{F}(V21,V15,V22), V22 == V15 | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #824: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11, V17 == V19; #817 ), references = 1, size of lhs = 16:
% 28.07/28.25 P_zero-{F}(V0), P_divergence-{F}(V1,V0), P_star-{F}(V1,V2), P_one-{F}(V3), P_domain-{F}(V4,V3), P_forward_diamond-{F}(V1,V3,V5), P_antidomain-{F}(V0,V6), P_star-{F}(V7,V2), P_divergence-{F}(V7,V8), pppp0-{F}(V7,V8,V6), P_antidomain-{F}(V7,V9), P_domain-{F}(V9,V10), P_addition-{F}(V3,V11,V11), P_addition-{F}(V5,V12,V11), P_domain-{F}(V12,V10), P_domain-{F}(V13,V12) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #832: mergings( V2 == V6, V6 == V8, V3 == V7, V7 == V9, V8 == V11, V11 == V14; #825 ), references = 2, size of lhs = 13:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), P_antidomain-{F}(V0,V3), P_divergence-{F}(V4,V0), pppp0-{F}(V4,V0,V3), P_forward_diamond-{F}(V4,V1,V5), P_antidomain-{F}(V4,V6), P_domain-{F}(V6,V7), P_addition-{F}(V1,V8,V8), P_addition-{F}(V5,V9,V8), P_domain-{F}(V9,V7), P_domain-{F}(V10,V9) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #854: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13; #843 ), references = 1, size of lhs = 7:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V3,V5,V0), P_multiplication-{F}(V1,V5,V6) | P_c-{T}(V2,V6)
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #886: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V3 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25; #863 ), references = 1, size of lhs = 13:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_domain-{F}(V1,V2), P_domain-{F}(V3,V1), P_antidomain-{F}(V0,V4), P_divergence-{F}(V5,V0), pppp0-{F}(V5,V0,V4), P_multiplication-{F}(V5,V2,V6), P_antidomain-{F}(V6,V7), P_antidomain-{F}(V5,V7), P_multiplication-{F}(V1,V7,V7), P_antidomain-{F}(V8,V7) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #914: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V4 == V6, V6 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V29 == V30; #889 ), references = 1, size of lhs = 8:
% 28.07/28.25 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_domain-{F}(V1,V2), P_domain-{F}(V3,V1), P_antidomain-{F}(V0,V4), P_multiplication-{F}(V5,V2,V5), pppp0-{F}(V5,V0,V4) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #943: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V0, V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V28; #916 ), references = 2, size of lhs = 6:
% 28.07/28.25 P_zero-{F}(V0), P_antidomain-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_domain-{F}(V1,V1), P_domain-{F}(V2,V1) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #954: mergings( V1 == V2, V2 == V3; #951 ), references = 1, size of lhs = 1:
% 28.07/28.25 P_zero-{F}(V0) | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 #956: exists( #33, #951 ), references = 1, size of lhs = 0:
% 28.07/28.25 FALSE | FALSE
% 28.07/28.25 (used 0 times, uses = {})
% 28.07/28.25
% 28.07/28.25 number of learnt formulas = 68
% 28.07/28.25
% 28.07/28.25
% 28.07/28.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.07/28.25
% 28.07/28.25 randbase = 1
%------------------------------------------------------------------------------