TSTP Solution File: HWV005-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HWV005-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:04:47 EDT 2022
% Result : Unsatisfiable 0.92s 1.09s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV005-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 17:18:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.09 GeoParameters:
% 0.92/1.09
% 0.92/1.09 tptp_input = 1
% 0.92/1.09 tptp_output = 0
% 0.92/1.09 nonempty = 1
% 0.92/1.09 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.09 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.92/1.09
% 0.92/1.09
% 0.92/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.09 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.09
% 0.92/1.09 RuleSystem INPUT:
% 0.92/1.09
% 0.92/1.09 Initial Rules:
% 0.92/1.09 #0: input, references = 18, size of lhs = 2:
% 0.92/1.09 connection-{F}(V1,V0), zero-{F}(V1) | zero-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #1: input, references = 16, size of lhs = 2:
% 0.92/1.09 connection-{F}(V1,V0), one-{F}(V1) | one-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #2: input, references = 4, size of lhs = 2:
% 0.92/1.09 zero-{F}(V0), connection-{F}(V1,V0) | zero-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #3: input, references = 5, size of lhs = 2:
% 0.92/1.09 one-{F}(V0), connection-{F}(V1,V0) | one-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #4: input, references = 9, size of lhs = 2:
% 0.92/1.09 zero-{F}(V0), one-{F}(V0) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #5: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_in1-{F}(V0,V1), P_out1-{F}(V0,V2), and_ok-{F}(V0), zero-{F}(V1) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #6: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_in2-{F}(V0,V1), P_out1-{F}(V0,V2), and_ok-{F}(V0), zero-{F}(V1) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #7: input, references = 6, size of lhs = 6:
% 0.92/1.09 P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_out1-{F}(V0,V3), and_ok-{F}(V0), one-{F}(V1), one-{F}(V2) | one-{T}(V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #8: input, references = 3, size of lhs = 5:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in1-{F}(V0,V2), P_in2-{F}(V0,V3), and_ok-{F}(V0), zero-{F}(V1) | zero-{T}(V2), zero-{T}(V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #9: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in1-{F}(V0,V2), and_ok-{F}(V0), one-{F}(V1) | one-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #10: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in2-{F}(V0,V2), and_ok-{F}(V0), one-{F}(V1) | one-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #11: input, references = 3, size of lhs = 2:
% 0.92/1.09 and_ok-{F}(V0), abnormal-{F}(V0) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #12: input, references = 4, size of lhs = 1:
% 0.92/1.09 logic_and-{F}(V0) | and_ok-{T}(V0), abnormal-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #13: input, references = 5, size of lhs = 4:
% 0.92/1.09 P_in1-{F}(V0,V1), P_out1-{F}(V0,V2), or_ok-{F}(V0), one-{F}(V1) | one-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #14: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_in2-{F}(V0,V1), P_out1-{F}(V0,V2), or_ok-{F}(V0), one-{F}(V1) | one-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #15: input, references = 3, size of lhs = 6:
% 0.92/1.09 P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_out1-{F}(V0,V3), or_ok-{F}(V0), zero-{F}(V1), zero-{F}(V2) | zero-{T}(V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #16: input, references = 3, size of lhs = 5:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in1-{F}(V0,V2), P_in2-{F}(V0,V3), or_ok-{F}(V0), one-{F}(V1) | one-{T}(V2), one-{T}(V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #17: input, references = 4, size of lhs = 4:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in1-{F}(V0,V2), or_ok-{F}(V0), zero-{F}(V1) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #18: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in2-{F}(V0,V2), or_ok-{F}(V0), zero-{F}(V1) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #19: input, references = 3, size of lhs = 2:
% 0.92/1.09 or_ok-{F}(V0), abnormal-{F}(V0) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #20: input, references = 4, size of lhs = 1:
% 0.92/1.09 logic_or-{F}(V0) | or_ok-{T}(V0), abnormal-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #21: input, references = 9, size of lhs = 4:
% 0.92/1.09 P_in1-{F}(V0,V1), P_out1-{F}(V0,V2), not_ok-{F}(V0), zero-{F}(V1) | one-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #22: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_in1-{F}(V0,V1), P_out1-{F}(V0,V2), not_ok-{F}(V0), one-{F}(V1) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #23: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in1-{F}(V0,V2), not_ok-{F}(V0), zero-{F}(V1) | one-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #24: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_out1-{F}(V0,V1), P_in1-{F}(V0,V2), not_ok-{F}(V0), one-{F}(V1) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #25: input, references = 3, size of lhs = 2:
% 0.92/1.09 not_ok-{F}(V0), abnormal-{F}(V0) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #26: input, references = 4, size of lhs = 1:
% 0.92/1.09 logic_not-{F}(V0) | not_ok-{T}(V0), abnormal-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #27: input, references = 4, size of lhs = 2:
% 0.92/1.09 P_and1-{F}(V0,V1), halfadder-{F}(V0) | logic_and-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #28: input, references = 3, size of lhs = 2:
% 0.92/1.09 P_and2-{F}(V0,V1), halfadder-{F}(V0) | logic_and-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #29: input, references = 7, size of lhs = 2:
% 0.92/1.09 P_not1-{F}(V0,V1), halfadder-{F}(V0) | logic_not-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #30: input, references = 5, size of lhs = 2:
% 0.92/1.09 P_or1-{F}(V0,V1), halfadder-{F}(V0) | logic_or-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #31: input, references = 8, size of lhs = 4:
% 0.92/1.09 P_in1-{F}(V0,V1), P_or1-{F}(V0,V2), P_in1-{F}(V2,V3), halfadder-{F}(V0) | connection-{T}(V1,V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #32: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_in2-{F}(V0,V1), P_or1-{F}(V0,V2), P_in2-{F}(V2,V3), halfadder-{F}(V0) | connection-{T}(V1,V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #33: input, references = 4, size of lhs = 4:
% 0.92/1.09 P_in1-{F}(V0,V1), P_and2-{F}(V0,V2), P_in1-{F}(V2,V3), halfadder-{F}(V0) | connection-{T}(V1,V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #34: input, references = 3, size of lhs = 4:
% 0.92/1.09 P_in2-{F}(V0,V1), P_and2-{F}(V0,V2), P_in2-{F}(V2,V3), halfadder-{F}(V0) | connection-{T}(V1,V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #35: input, references = 6, size of lhs = 4:
% 0.92/1.09 P_outs-{F}(V0,V1), P_and1-{F}(V0,V2), P_out1-{F}(V2,V3), halfadder-{F}(V0) | connection-{T}(V1,V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #36: input, references = 11, size of lhs = 4:
% 0.92/1.09 P_outc-{F}(V0,V1), P_and2-{F}(V0,V2), P_out1-{F}(V2,V3), halfadder-{F}(V0) | connection-{T}(V1,V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #37: input, references = 6, size of lhs = 5:
% 0.92/1.09 P_or1-{F}(V0,V1), P_out1-{F}(V1,V2), P_and1-{F}(V0,V3), P_in1-{F}(V3,V4), halfadder-{F}(V0) | connection-{T}(V2,V4)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #38: input, references = 8, size of lhs = 5:
% 0.92/1.09 P_and2-{F}(V0,V1), P_out1-{F}(V1,V2), P_not1-{F}(V0,V3), P_in1-{F}(V3,V4), halfadder-{F}(V0) | connection-{T}(V2,V4)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #39: input, references = 9, size of lhs = 5:
% 0.92/1.09 P_not1-{F}(V0,V1), P_out1-{F}(V1,V2), P_and1-{F}(V0,V3), P_in2-{F}(V3,V4), halfadder-{F}(V0) | connection-{T}(V2,V4)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #40: input, references = 4, size of lhs = 1:
% 0.92/1.09 P_h-{F}(V0) | halfadder-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #41: input, references = 4, size of lhs = 2:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1) | one-{T}(V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #42: input, references = 3, size of lhs = 3:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2) | zero-{T}(V2)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #43: input, references = 7, size of lhs = 4:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3) | zero-{T}(V3)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #44: input, references = 11, size of lhs = 5:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3), P_outc-{F}(V0,V4) | zero-{T}(V4)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #45: input, references = 3, size of lhs = 7:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3), P_outc-{F}(V0,V4), P_and1-{F}(V0,V5), abnormal-{F}(V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #46: input, references = 3, size of lhs = 8:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3), P_outc-{F}(V0,V4), P_and1-{F}(V0,V5), P_not1-{F}(V0,V6), abnormal-{F}(V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #47: input, references = 3, size of lhs = 9:
% 0.92/1.09 P_h-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3), P_outc-{F}(V0,V4), P_and1-{F}(V0,V5), P_not1-{F}(V0,V6), P_or1-{F}(V0,V7), abnormal-{F}(V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #48: input, references = 11, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_in1-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #49: input, references = 12, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_out1-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #50: input, references = 5, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_in2-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #51: input, references = 4, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_and1-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #52: input, references = 5, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_and2-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #53: input, references = 5, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_not1-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #54: input, references = 4, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_or1-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #55: input, references = 10, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_outs-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #56: input, references = 9, size of lhs = 1:
% 0.92/1.09 #-{F} V0 | EXISTS V1: P_outc-{T}(V0,V1)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #57: input, references = 4, size of lhs = 0:
% 0.92/1.09 FALSE | EXISTS V0: P_h-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 number of initial rules = 58
% 0.92/1.09
% 0.92/1.09 Simplifiers:
% 0.92/1.09 #58: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 halfadder-{F}(V0), halfadder-{F}(V1), V0 == V1 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #59: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_in1-{F}(V0,V1), P_in1-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #60: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_out1-{F}(V0,V1), P_out1-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #61: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_in2-{F}(V0,V1), P_in2-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #62: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_and1-{F}(V0,V1), P_and1-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #63: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_and2-{F}(V0,V1), P_and2-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #64: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_not1-{F}(V0,V1), P_not1-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #65: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_or1-{F}(V0,V1), P_or1-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #66: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_outs-{F}(V0,V1), P_outs-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #67: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_outc-{F}(V0,V1), P_outc-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #68: unsound, references = 3, size of lhs = 3:
% 0.92/1.09 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 number of simplifiers = 11
% 0.92/1.09
% 0.92/1.09 Learnt:
% 0.92/1.09 #79: exists( #55, #77 ), references = 3, size of lhs = 7:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_and1-{F}(V0,V3), P_out1-{F}(V3,V4), one-{F}(V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #100: mergings( V2 == V5; #98 ), references = 4, size of lhs = 7:
% 0.92/1.09 one-{F}(V0), halfadder-{F}(V1), P_not1-{F}(V1,V2), P_in1-{F}(V2,V0), P_and2-{F}(V1,V3), P_outc-{F}(V1,V4), zero-{F}(V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #104: exists( #56, #102 ), references = 1, size of lhs = 9:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3), one-{F}(V4), P_not1-{F}(V0,V5), P_in1-{F}(V5,V4), P_and2-{F}(V0,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #106: exists( #55, #103 ), references = 3, size of lhs = 8:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), one-{F}(V3), P_not1-{F}(V0,V4), P_in1-{F}(V4,V3), P_and2-{F}(V0,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #119: mergings( V2 == V4, V3 == V5, V0 == V7; #114 ), references = 1, size of lhs = 7:
% 0.92/1.09 one-{F}(V0), P_h-{F}(V1), halfadder-{F}(V1), P_in1-{F}(V1,V0), P_not1-{F}(V1,V2), P_and2-{F}(V1,V2), P_in2-{F}(V1,V3) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #133: disj( #12, input ), references = 5, size of lhs = 7:
% 0.92/1.09 logic_and-{F}(V0), P_h-{F}(V1), P_and1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_outs-{F}(V1,V4), P_outc-{F}(V1,V5) | and_ok-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #138: disj( #26, input ), references = 7, size of lhs = 8:
% 0.92/1.09 logic_not-{F}(V0), P_h-{F}(V1), P_not1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_outs-{F}(V1,V4), P_outc-{F}(V1,V5), P_and1-{F}(V1,V6) | not_ok-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #139: disj( #26, input ), references = 1, size of lhs = 9:
% 0.92/1.09 logic_not-{F}(V0), P_h-{F}(V1), P_or1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_outs-{F}(V1,V4), P_outc-{F}(V1,V5), P_and1-{F}(V1,V6), P_not1-{F}(V1,V7) | not_ok-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #155: mergings( V2 == V4, V3 == V5; #152 ), references = 1, size of lhs = 8:
% 0.92/1.09 one-{F}(V0), P_h-{F}(V1), halfadder-{F}(V1), P_in1-{F}(V1,V0), P_or1-{F}(V1,V2), P_not1-{F}(V1,V2), P_in2-{F}(V1,V3), P_and2-{F}(V1,V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #172: mergings( V2 == V5; #170 ), references = 2, size of lhs = 8:
% 0.92/1.09 one-{F}(V0), halfadder-{F}(V1), P_or1-{F}(V1,V2), P_and2-{F}(V1,V2), P_and1-{F}(V1,V3), P_in1-{F}(V3,V0), P_outc-{F}(V1,V4), zero-{F}(V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #175: exists( #56, #173 ), references = 1, size of lhs = 10:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_outs-{F}(V0,V3), one-{F}(V4), P_or1-{F}(V0,V5), P_and2-{F}(V0,V5), P_and1-{F}(V0,V6), P_in1-{F}(V6,V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #177: exists( #55, #174 ), references = 1, size of lhs = 9:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), one-{F}(V3), P_or1-{F}(V0,V4), P_and2-{F}(V0,V4), P_and1-{F}(V0,V5), P_in1-{F}(V5,V3) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #205: exists( #49, #199 ), references = 2, size of lhs = 8:
% 0.92/1.09 halfadder-{F}(V0), P_not1-{F}(V0,V1), not_ok-{F}(V1), P_and1-{F}(V0,V2), P_in2-{F}(V2,V3), zero-{F}(V3), P_in1-{F}(V1,V4), zero-{F}(V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #208: mergings( V2 == V6, V3 == V9; #203 ), references = 2, size of lhs = 11:
% 0.92/1.09 not_ok-{F}(V0), P_in1-{F}(V0,V1), zero-{F}(V1), P_h-{F}(V2), P_not1-{F}(V2,V0), halfadder-{F}(V2), P_in1-{F}(V2,V3), P_in2-{F}(V2,V4), P_and1-{F}(V2,V5), P_in2-{F}(V5,V6), P_out1-{F}(V5,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #212: mergings( V2 == V6, V0 == V7, V5 == V4; #204 ), references = 1, size of lhs = 10:
% 0.92/1.09 not_ok-{F}(V0), zero-{F}(V1), P_in1-{F}(V0,V1), halfadder-{F}(V2), P_not1-{F}(V2,V0), P_and1-{F}(V2,V3), P_in2-{F}(V3,V1), P_and2-{F}(V2,V4), P_outc-{F}(V2,V5), zero-{F}(V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #220: mergings( V2 == V5; #217 ), references = 2, size of lhs = 9:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), halfadder-{F}(V2), P_not1-{F}(V2,V1), P_and2-{F}(V2,V3), P_out1-{F}(V3,V0), P_and1-{F}(V2,V4), P_in2-{F}(V4,V5), zero-{F}(V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #222: mergings( V2 == V5; #218 ), references = 2, size of lhs = 12:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), P_h-{F}(V2), P_not1-{F}(V2,V1), halfadder-{F}(V2), P_and2-{F}(V2,V3), P_out1-{F}(V3,V0), P_in1-{F}(V2,V4), P_in2-{F}(V2,V5), P_and1-{F}(V2,V6), P_in2-{F}(V6,V7), P_out1-{F}(V6,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #230: mergings( V2 == V5; #227 ), references = 2, size of lhs = 9:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), halfadder-{F}(V2), P_outc-{F}(V2,V0), P_not1-{F}(V2,V1), P_and2-{F}(V2,V3), P_and1-{F}(V2,V4), P_in2-{F}(V4,V5), zero-{F}(V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #232: mergings( V2 == V5; #228 ), references = 2, size of lhs = 12:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), P_h-{F}(V2), P_outc-{F}(V2,V0), P_not1-{F}(V2,V1), halfadder-{F}(V2), P_and2-{F}(V2,V3), P_in1-{F}(V2,V4), P_in2-{F}(V2,V5), P_and1-{F}(V2,V6), P_in2-{F}(V6,V7), P_out1-{F}(V6,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #245: mergings( V2 == V6, V3 == V7, V9 == V11, V4 == V8; #239 ), references = 1, size of lhs = 11:
% 0.92/1.09 logic_not-{F}(V0), P_h-{F}(V1), halfadder-{F}(V1), P_not1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_outs-{F}(V1,V4), P_and2-{F}(V1,V5), P_and1-{F}(V1,V6), P_in2-{F}(V6,V7), zero-{F}(V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #252: mergings( V2 == V6, V6 == V11, V3 == V7, V7 == V12, V9 == V13, V4 == V8; #240 ), references = 1, size of lhs = 11:
% 0.92/1.09 logic_not-{F}(V0), P_h-{F}(V1), P_not1-{F}(V1,V0), halfadder-{F}(V1), P_outs-{F}(V1,V2), P_and2-{F}(V1,V3), P_in1-{F}(V1,V4), P_in2-{F}(V1,V5), P_and1-{F}(V1,V6), P_in2-{F}(V6,V7), P_out1-{F}(V6,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #263: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10, V7 == V11; #256 ), references = 1, size of lhs = 10:
% 0.92/1.09 logic_not-{F}(V0), P_h-{F}(V1), P_not1-{F}(V1,V0), halfadder-{F}(V1), P_and2-{F}(V1,V2), P_in1-{F}(V1,V3), P_in2-{F}(V1,V4), P_and1-{F}(V1,V5), P_in2-{F}(V5,V6), P_out1-{F}(V5,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #270: mergings( V2 == V7, V7 == V9, V3 == V8, V8 == V10, V4 == V11, V11 == V13; #257 ), references = 1, size of lhs = 10:
% 0.92/1.09 logic_not-{F}(V0), P_h-{F}(V1), halfadder-{F}(V1), P_not1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_and2-{F}(V1,V4), P_and1-{F}(V1,V5), P_out1-{F}(V5,V6), P_in2-{F}(V5,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #280: mergings( V2 == V4, V4 == V8, V3 == V5, V5 == V9, V6 == V10; #273 ), references = 1, size of lhs = 8:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_and2-{F}(V0,V1), P_in1-{F}(V0,V2), P_in2-{F}(V0,V3), P_and1-{F}(V0,V4), P_in2-{F}(V4,V5), P_out1-{F}(V4,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #287: mergings( V2 == V6, V6 == V8, V3 == V7, V7 == V9, V4 == V10, V10 == V12; #274 ), references = 1, size of lhs = 8:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_and2-{F}(V0,V3), P_and1-{F}(V0,V4), P_out1-{F}(V4,V5), P_in2-{F}(V4,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #295: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8, V6 == V9; #288 ), references = 1, size of lhs = 7:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0), P_in1-{F}(V0,V1), P_in2-{F}(V0,V2), P_and1-{F}(V0,V3), P_in2-{F}(V3,V4), P_out1-{F}(V3,V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #344: exists( #49, #338 ), references = 2, size of lhs = 13:
% 0.92/1.09 halfadder-{F}(V0), P_not1-{F}(V0,V1), not_ok-{F}(V1), P_and1-{F}(V0,V2), P_in2-{F}(V2,V3), P_in1-{F}(V1,V4), zero-{F}(V4), and_ok-{F}(V5), P_in2-{F}(V5,V3), P_in1-{F}(V5,V6), one-{F}(V6), P_out1-{F}(V5,V7), zero-{F}(V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #347: mergings( V2 == V9, V3 == V12; #342 ), references = 2, size of lhs = 16:
% 0.92/1.09 not_ok-{F}(V0), P_in1-{F}(V0,V1), zero-{F}(V1), and_ok-{F}(V2), P_in2-{F}(V2,V3), P_in1-{F}(V2,V4), one-{F}(V4), P_out1-{F}(V2,V5), P_h-{F}(V6), P_not1-{F}(V6,V0), halfadder-{F}(V6), P_in1-{F}(V6,V7), P_in2-{F}(V6,V8), P_and1-{F}(V6,V9), P_in2-{F}(V9,V3), P_out1-{F}(V9,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #351: mergings( V2 == V9, V0 == V10, V5 == V8; #343 ), references = 1, size of lhs = 15:
% 0.92/1.09 not_ok-{F}(V0), zero-{F}(V1), P_in1-{F}(V0,V1), and_ok-{F}(V2), P_out1-{F}(V2,V1), P_in2-{F}(V2,V3), P_in1-{F}(V2,V4), one-{F}(V4), halfadder-{F}(V5), P_not1-{F}(V5,V0), P_and1-{F}(V5,V6), P_in2-{F}(V6,V3), P_and2-{F}(V5,V7), P_outc-{F}(V5,V8), zero-{F}(V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #359: mergings( V2 == V5; #356 ), references = 1, size of lhs = 14:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), halfadder-{F}(V2), P_not1-{F}(V2,V1), P_and2-{F}(V2,V3), P_out1-{F}(V3,V0), P_and1-{F}(V2,V4), P_in2-{F}(V4,V5), and_ok-{F}(V6), P_in2-{F}(V6,V5), P_in1-{F}(V6,V7), one-{F}(V7), P_out1-{F}(V6,V8), zero-{F}(V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #361: mergings( V2 == V9; #357 ), references = 1, size of lhs = 17:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), and_ok-{F}(V2), P_in2-{F}(V2,V3), P_in1-{F}(V2,V4), one-{F}(V4), P_out1-{F}(V2,V5), P_h-{F}(V6), P_not1-{F}(V6,V1), halfadder-{F}(V6), P_and2-{F}(V6,V7), P_out1-{F}(V7,V0), P_in1-{F}(V6,V8), P_in2-{F}(V6,V9), P_and1-{F}(V6,V10), P_in2-{F}(V10,V3), P_out1-{F}(V10,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #365: mergings( V2 == V6; #362 ), references = 1, size of lhs = 12:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), halfadder-{F}(V2), P_not1-{F}(V2,V1), P_and2-{F}(V2,V3), P_out1-{F}(V3,V0), P_and1-{F}(V2,V4), and_ok-{F}(V4), P_in1-{F}(V4,V5), one-{F}(V5), P_out1-{F}(V4,V6), zero-{F}(V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #367: mergings( V2 == V8; #363 ), references = 1, size of lhs = 14:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), and_ok-{F}(V2), P_in1-{F}(V2,V3), one-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V1), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_and2-{F}(V4,V5), P_out1-{F}(V5,V0), P_in1-{F}(V4,V6), P_in2-{F}(V4,V7), P_out1-{F}(V2,V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #373: mergings( V2 == V7; #370 ), references = 3, size of lhs = 13:
% 0.92/1.09 zero-{F}(V0), not_ok-{F}(V1), and_ok-{F}(V2), P_in1-{F}(V2,V3), one-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V1), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_and2-{F}(V4,V5), P_out1-{F}(V5,V0), P_in1-{F}(V4,V6), P_in2-{F}(V4,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #376: mergings( V2 == V4, V4 == V8; #371 ), references = 3, size of lhs = 12:
% 0.92/1.09 zero-{F}(V0), and_ok-{F}(V1), zero-{F}(V2), not_ok-{F}(V3), halfadder-{F}(V4), P_outs-{F}(V4,V0), P_not1-{F}(V4,V3), P_and1-{F}(V4,V1), P_and2-{F}(V4,V5), P_out1-{F}(V5,V2), P_in1-{F}(V1,V6), one-{F}(V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #386: mergings( V2 == V8; #383 ), references = 2, size of lhs = 13:
% 0.92/1.09 one-{F}(V0), and_ok-{F}(V1), zero-{F}(V2), zero-{F}(V3), not_ok-{F}(V4), halfadder-{F}(V5), P_outs-{F}(V5,V2), P_not1-{F}(V5,V4), P_and1-{F}(V5,V1), P_or1-{F}(V5,V6), P_out1-{F}(V6,V0), P_and2-{F}(V5,V7), P_out1-{F}(V7,V3) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #388: mergings( V2 == V7; #384 ), references = 2, size of lhs = 14:
% 0.92/1.09 one-{F}(V0), and_ok-{F}(V1), zero-{F}(V2), not_ok-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V1), P_or1-{F}(V4,V5), P_out1-{F}(V5,V0), P_and2-{F}(V4,V6), P_out1-{F}(V6,V2), P_in1-{F}(V4,V7), P_in2-{F}(V4,V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #396: mergings( V2 == V8; #393 ), references = 2, size of lhs = 13:
% 0.92/1.09 zero-{F}(V0), one-{F}(V1), and_ok-{F}(V2), zero-{F}(V3), not_ok-{F}(V4), halfadder-{F}(V5), P_outc-{F}(V5,V0), P_outs-{F}(V5,V3), P_not1-{F}(V5,V4), P_and1-{F}(V5,V2), P_and2-{F}(V5,V6), P_or1-{F}(V5,V7), P_out1-{F}(V7,V1) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #398: mergings( V2 == V7; #394 ), references = 2, size of lhs = 14:
% 0.92/1.09 zero-{F}(V0), one-{F}(V1), and_ok-{F}(V2), not_ok-{F}(V3), P_h-{F}(V4), P_outc-{F}(V4,V0), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_and2-{F}(V4,V5), P_or1-{F}(V4,V6), P_out1-{F}(V6,V1), P_in1-{F}(V4,V7), P_in2-{F}(V4,V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #419: mergings( V2 == V6, V6 == V10, V3 == V7, V7 == V11, V5 == V13, V4 == V8, V8 == V12, V12 == V15; #409 ), references = 1, size of lhs = 14:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_not1-{F}(V2,V1), P_and1-{F}(V2,V0), P_in1-{F}(V2,V3), P_in2-{F}(V2,V4), one-{F}(V5), zero-{F}(V6), P_outs-{F}(V2,V6), P_and2-{F}(V2,V7), P_or1-{F}(V2,V8), P_out1-{F}(V8,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #429: mergings( V2 == V6, V6 == V10, V10 == V17, V3 == V7, V7 == V11, V11 == V18, V5 == V13, V4 == V8, V8 == V12; #410 ), references = 1, size of lhs = 13:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), one-{F}(V2), P_h-{F}(V3), P_not1-{F}(V3,V1), halfadder-{F}(V3), P_and1-{F}(V3,V0), P_outs-{F}(V3,V4), P_and2-{F}(V3,V5), P_or1-{F}(V3,V6), P_out1-{F}(V6,V2), P_in1-{F}(V3,V7), P_in2-{F}(V3,V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #440: mergings( V5 == V7, V7 == V9, V9 == V14, V6 == V8, V8 == V10, V10 == V15, V2 == V11; #431 ), references = 2, size of lhs = 12:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), one-{F}(V2), P_h-{F}(V3), P_not1-{F}(V3,V1), halfadder-{F}(V3), P_and1-{F}(V3,V0), P_and2-{F}(V3,V4), P_or1-{F}(V3,V5), P_out1-{F}(V5,V2), P_in1-{F}(V3,V6), P_in2-{F}(V3,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #448: mergings( V2 == V6, V6 == V8, V8 == V10, V3 == V7, V7 == V9, V9 == V11, V4 == V12; #432 ), references = 2, size of lhs = 12:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_not1-{F}(V2,V1), P_and1-{F}(V2,V0), P_in1-{F}(V2,V3), P_in2-{F}(V2,V4), one-{F}(V5), P_and2-{F}(V2,V6), P_or1-{F}(V2,V7), P_out1-{F}(V7,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #463: mergings( V2 == V7; #460 ), references = 2, size of lhs = 13:
% 0.92/1.09 one-{F}(V0), and_ok-{F}(V1), zero-{F}(V2), zero-{F}(V3), not_ok-{F}(V4), halfadder-{F}(V5), P_in1-{F}(V5,V0), P_or1-{F}(V5,V1), P_outs-{F}(V5,V2), P_not1-{F}(V5,V4), P_and1-{F}(V5,V1), P_and2-{F}(V5,V6), P_out1-{F}(V6,V3) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #466: mergings( V2 == V6, V3 == V8; #461 ), references = 2, size of lhs = 13:
% 0.92/1.09 one-{F}(V0), and_ok-{F}(V1), zero-{F}(V2), not_ok-{F}(V3), P_h-{F}(V4), P_or1-{F}(V4,V1), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V1), P_in1-{F}(V4,V0), P_and2-{F}(V4,V5), P_out1-{F}(V5,V2), P_in2-{F}(V4,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #474: mergings( V2 == V8; #471 ), references = 2, size of lhs = 13:
% 0.92/1.09 zero-{F}(V0), one-{F}(V1), and_ok-{F}(V2), zero-{F}(V3), not_ok-{F}(V4), halfadder-{F}(V5), P_outc-{F}(V5,V0), P_in1-{F}(V5,V1), P_or1-{F}(V5,V2), P_outs-{F}(V5,V3), P_not1-{F}(V5,V4), P_and1-{F}(V5,V2), P_and2-{F}(V5,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #476: mergings( V2 == V7; #472 ), references = 2, size of lhs = 13:
% 0.92/1.09 zero-{F}(V0), one-{F}(V1), and_ok-{F}(V2), not_ok-{F}(V3), P_h-{F}(V4), P_outc-{F}(V4,V0), P_or1-{F}(V4,V2), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_in1-{F}(V4,V1), P_and2-{F}(V4,V5), P_in2-{F}(V4,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #498: mergings( V14 == V2, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V11 == V16, V5 == V13, V4 == V8, V8 == V12; #488 ), references = 1, size of lhs = 12:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), one-{F}(V2), P_h-{F}(V3), P_or1-{F}(V3,V0), P_not1-{F}(V3,V1), halfadder-{F}(V3), P_in1-{F}(V3,V2), P_and1-{F}(V3,V0), P_outs-{F}(V3,V4), P_and2-{F}(V3,V5), P_in2-{F}(V3,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #508: mergings( V2 == V6, V6 == V10, V10 == V14, V3 == V7, V7 == V11, V5 == V13, V4 == V8, V8 == V12, V12 == V15; #487 ), references = 1, size of lhs = 13:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_or1-{F}(V2,V0), P_not1-{F}(V2,V1), P_and1-{F}(V2,V0), P_in2-{F}(V2,V3), one-{F}(V4), P_in1-{F}(V2,V4), zero-{F}(V5), P_outs-{F}(V2,V5), P_and2-{F}(V2,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #519: mergings( V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10, V10 == V13, V2 == V11; #510 ), references = 1, size of lhs = 11:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), one-{F}(V2), P_h-{F}(V3), P_or1-{F}(V3,V0), P_not1-{F}(V3,V1), halfadder-{F}(V3), P_in1-{F}(V3,V2), P_and1-{F}(V3,V0), P_and2-{F}(V3,V4), P_in2-{F}(V3,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #528: mergings( V2 == V6, V6 == V8, V8 == V10, V10 == V13, V3 == V7, V7 == V9, V9 == V11, V4 == V12; #511 ), references = 1, size of lhs = 11:
% 0.92/1.09 logic_and-{F}(V0), logic_not-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_or1-{F}(V2,V0), P_not1-{F}(V2,V1), P_and1-{F}(V2,V0), P_in2-{F}(V2,V3), one-{F}(V4), P_in1-{F}(V2,V4), P_and2-{F}(V2,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #532: disj( #20, input ), references = 1, size of lhs = 9:
% 0.92/1.09 logic_or-{F}(V0), P_h-{F}(V1), P_or1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_outs-{F}(V1,V4), P_outc-{F}(V1,V5), P_and1-{F}(V1,V6), P_not1-{F}(V1,V7) | or_ok-{T}(V0)
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #542: exists( #56, #536 ), references = 1, size of lhs = 12:
% 0.92/1.09 logic_or-{F}(V0), P_h-{F}(V1), P_or1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_outs-{F}(V1,V4), P_and1-{F}(V1,V5), P_not1-{F}(V1,V6), P_out1-{F}(V0,V7), zero-{F}(V7), P_in1-{F}(V0,V8), one-{F}(V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #549: mergings( V0 == V12, V3 == V15, V4 == V16, V6 == V10, V7 == V11, V2 == V14; #540 ), references = 1, size of lhs = 15:
% 0.92/1.09 logic_or-{F}(V0), P_in1-{F}(V0,V1), one-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_or1-{F}(V4,V0), P_outs-{F}(V4,V5), P_and2-{F}(V4,V6), P_out1-{F}(V0,V7), P_in1-{F}(V4,V8), P_in2-{F}(V4,V9) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #556: mergings( V0 == V12, V3 == V13, V4 == V14, V6 == V10, V7 == V11, V2 == V16; #541 ), references = 1, size of lhs = 15:
% 0.92/1.09 logic_or-{F}(V0), P_in1-{F}(V0,V1), one-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), halfadder-{F}(V4), P_not1-{F}(V4,V3), P_and1-{F}(V4,V2), P_or1-{F}(V4,V0), P_outs-{F}(V4,V5), P_in1-{F}(V4,V6), P_in2-{F}(V4,V7), P_and2-{F}(V4,V8), P_out1-{F}(V0,V9) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #560: exists( #55, #539 ), references = 1, size of lhs = 11:
% 0.92/1.09 logic_or-{F}(V0), P_h-{F}(V1), P_or1-{F}(V1,V0), P_in1-{F}(V1,V2), P_in2-{F}(V1,V3), P_and1-{F}(V1,V4), P_not1-{F}(V1,V5), P_out1-{F}(V0,V6), zero-{F}(V6), P_in1-{F}(V0,V7), one-{F}(V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #567: mergings( V0 == V11, V3 == V14, V4 == V15, V5 == V9, V6 == V10, V2 == V13; #558 ), references = 2, size of lhs = 14:
% 0.92/1.09 logic_or-{F}(V0), P_in1-{F}(V0,V1), one-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_or1-{F}(V4,V0), P_and2-{F}(V4,V5), P_out1-{F}(V0,V6), P_in1-{F}(V4,V7), P_in2-{F}(V4,V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #574: mergings( V0 == V11, V3 == V12, V4 == V13, V5 == V9, V6 == V10, V2 == V15; #559 ), references = 2, size of lhs = 14:
% 0.92/1.09 logic_or-{F}(V0), P_in1-{F}(V0,V1), one-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), halfadder-{F}(V4), P_not1-{F}(V4,V3), P_and1-{F}(V4,V2), P_or1-{F}(V4,V0), P_in1-{F}(V4,V5), P_in2-{F}(V4,V6), P_and2-{F}(V4,V7), P_out1-{F}(V0,V8) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #585: exists( #49, #567 ), references = 2, size of lhs = 13:
% 0.92/1.09 logic_or-{F}(V0), P_in1-{F}(V0,V1), one-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_or1-{F}(V4,V0), P_and2-{F}(V4,V5), P_in1-{F}(V4,V6), P_in2-{F}(V4,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #586: exists( #49, #574 ), references = 2, size of lhs = 13:
% 0.92/1.09 logic_or-{F}(V0), P_in1-{F}(V0,V1), one-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), halfadder-{F}(V4), P_not1-{F}(V4,V3), P_and1-{F}(V4,V2), P_or1-{F}(V4,V0), P_in1-{F}(V4,V5), P_in2-{F}(V4,V6), P_and2-{F}(V4,V7) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #597: mergings( V2 == V6, V3 == V8; #593 ), references = 1, size of lhs = 12:
% 0.92/1.09 one-{F}(V0), logic_or-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), P_not1-{F}(V4,V3), halfadder-{F}(V4), P_and1-{F}(V4,V2), P_or1-{F}(V4,V1), P_in1-{F}(V4,V0), P_and2-{F}(V4,V5), P_in2-{F}(V4,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #600: mergings( V2 == V6, V3 == V7; #594 ), references = 1, size of lhs = 12:
% 0.92/1.09 one-{F}(V0), logic_or-{F}(V1), logic_and-{F}(V2), logic_not-{F}(V3), P_h-{F}(V4), halfadder-{F}(V4), P_not1-{F}(V4,V3), P_and1-{F}(V4,V2), P_or1-{F}(V4,V1), P_in1-{F}(V4,V0), P_in2-{F}(V4,V5), P_and2-{F}(V4,V6) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #606: mergings( V2 == V6; #603 ), references = 1, size of lhs = 10:
% 0.92/1.09 one-{F}(V0), logic_and-{F}(V1), logic_not-{F}(V2), P_h-{F}(V3), P_not1-{F}(V3,V2), halfadder-{F}(V3), P_and1-{F}(V3,V1), P_in1-{F}(V3,V0), P_and2-{F}(V3,V4), P_in2-{F}(V3,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #608: mergings( V2 == V5; #604 ), references = 1, size of lhs = 10:
% 0.92/1.09 one-{F}(V0), logic_and-{F}(V1), logic_not-{F}(V2), P_h-{F}(V3), halfadder-{F}(V3), P_not1-{F}(V3,V2), P_and1-{F}(V3,V1), P_in1-{F}(V3,V0), P_in2-{F}(V3,V4), P_and2-{F}(V3,V5) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #614: mergings( V2 == V5; #611 ), references = 1, size of lhs = 8:
% 0.92/1.09 one-{F}(V0), logic_and-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_and1-{F}(V2,V1), P_in1-{F}(V2,V0), P_and2-{F}(V2,V3), P_in2-{F}(V2,V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #616: mergings( V2 == V4; #612 ), references = 1, size of lhs = 8:
% 0.92/1.09 one-{F}(V0), logic_and-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_and1-{F}(V2,V1), P_in1-{F}(V2,V0), P_in2-{F}(V2,V3), P_and2-{F}(V2,V4) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #620: mergings( V2 == V4; #617 ), references = 1, size of lhs = 7:
% 0.92/1.09 one-{F}(V0), logic_and-{F}(V1), P_h-{F}(V2), halfadder-{F}(V2), P_and1-{F}(V2,V1), P_in1-{F}(V2,V0), P_in2-{F}(V2,V3) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #626: mergings( V2 == V3; #623 ), references = 1, size of lhs = 5:
% 0.92/1.09 one-{F}(V0), P_h-{F}(V1), halfadder-{F}(V1), P_in1-{F}(V1,V0), P_in2-{F}(V1,V2) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #630: mergings( V2 == V3; #627 ), references = 1, size of lhs = 4:
% 0.92/1.09 one-{F}(V0), P_h-{F}(V1), halfadder-{F}(V1), P_in1-{F}(V1,V0) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #635: exists( #48, #631 ), references = 1, size of lhs = 2:
% 0.92/1.09 P_h-{F}(V0), halfadder-{F}(V0) | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 #640: exists( #57, #636 ), references = 1, size of lhs = 0:
% 0.92/1.09 FALSE | FALSE
% 0.92/1.09 (used 0 times, uses = {})
% 0.92/1.09
% 0.92/1.09 number of learnt formulas = 71
% 0.92/1.09
% 0.92/1.09
% 0.92/1.09 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.09
% 0.92/1.09 randbase = 1
%------------------------------------------------------------------------------