TSTP Solution File: HWV005-2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3vgvkETRJb true
% Computer : n018.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 : Thu Aug 31 03:04:51 EDT 2023
% Result : Unsatisfiable 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3vgvkETRJb true
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 17:01:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % Solved by fo/fo6_bce.sh.
% 0.21/0.74 % BCE start: 48
% 0.21/0.74 % BCE eliminated: 0
% 0.21/0.74 % PE start: 48
% 0.21/0.74 logic: neq
% 0.21/0.74 % PE eliminated: -9
% 0.21/0.74 % done 64 iterations in 0.025s
% 0.21/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74 % SZS output start Refutation
% 0.21/0.74 thf(outs_type, type, outs: $i > $i).
% 0.21/0.74 thf(and1_type, type, and1: $i > $i).
% 0.21/0.74 thf(logic_or_type, type, logic_or: $i > $o).
% 0.21/0.74 thf(or1_type, type, or1: $i > $i).
% 0.21/0.74 thf(outc_type, type, outc: $i > $i).
% 0.21/0.74 thf(not_ok_type, type, not_ok: $i > $o).
% 0.21/0.74 thf(abnormal_type, type, abnormal: $i > $o).
% 0.21/0.74 thf(logic_not_type, type, logic_not: $i > $o).
% 0.21/0.74 thf(or_ok_type, type, or_ok: $i > $o).
% 0.21/0.74 thf(and_ok_type, type, and_ok: $i > $o).
% 0.21/0.74 thf(h_type, type, h: $i).
% 0.21/0.74 thf(connection_type, type, connection: $i > $i > $o).
% 0.21/0.74 thf(in2_type, type, in2: $i > $i).
% 0.21/0.74 thf(zero_type, type, zero: $i > $o).
% 0.21/0.74 thf(and2_type, type, and2: $i > $i).
% 0.21/0.74 thf(logic_and_type, type, logic_and: $i > $o).
% 0.21/0.74 thf(out1_type, type, out1: $i > $i).
% 0.21/0.74 thf(not1_type, type, not1: $i > $i).
% 0.21/0.74 thf(one_type, type, one: $i > $o).
% 0.21/0.74 thf(in1_type, type, in1: $i > $i).
% 0.21/0.74 thf(halfadder_type, type, halfadder: $i > $o).
% 0.21/0.74 thf(h_isa_halfadder, axiom, (halfadder @ h)).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_connection_out1not1_in2and1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) |
% 0.21/0.74 ( connection @ ( out1 @ ( not1 @ X ) ) @ ( in2 @ ( and1 @ X ) ) ))).
% 0.21/0.74 thf(zip_derived_cl39, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (connection @ (out1 @ (not1 @ X0)) @ (in2 @ (and1 @ X0))))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_connection_out1not1_in2and1])).
% 0.21/0.74 thf(zip_derived_cl151, plain,
% 0.21/0.74 ( (connection @ (out1 @ (not1 @ h)) @ (in2 @ (and1 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl39])).
% 0.21/0.74 thf(value_propagation_one1, axiom,
% 0.21/0.74 (( ~( connection @ P1 @ P2 ) ) | ( ~( one @ P1 ) ) | ( one @ P2 ))).
% 0.21/0.74 thf(zip_derived_cl1, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (connection @ X0 @ X1) | ~ (one @ X0) | (one @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [value_propagation_one1])).
% 0.21/0.74 thf(zip_derived_cl201, plain,
% 0.21/0.74 (( (one @ (in2 @ (and1 @ h))) | ~ (one @ (out1 @ (not1 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl151, zip_derived_cl1])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_not1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) | ( logic_not @ ( not1 @ X ) ))).
% 0.21/0.74 thf(zip_derived_cl29, plain,
% 0.21/0.74 (![X0 : $i]: (~ (halfadder @ X0) | (logic_not @ (not1 @ X0)))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_not1])).
% 0.21/0.74 thf(not_ok_or_abnormal, axiom,
% 0.21/0.74 (( ~( logic_not @ K ) ) | ( not_ok @ K ) | ( abnormal @ K ))).
% 0.21/0.74 thf(zip_derived_cl26, plain,
% 0.21/0.74 (![X0 : $i]: (~ (logic_not @ X0) | (not_ok @ X0) | (abnormal @ X0))),
% 0.21/0.74 inference('cnf', [status(esa)], [not_ok_or_abnormal])).
% 0.21/0.74 thf(zip_derived_cl49, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (abnormal @ (not1 @ X0))
% 0.21/0.74 | (not_ok @ (not1 @ X0)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl29, zip_derived_cl26])).
% 0.21/0.74 thf(not_0_1_fw, axiom,
% 0.21/0.74 (( ~( not_ok @ K ) ) | ( ~( zero @ ( in1 @ K ) ) ) | ( one @ ( out1 @ K ) ))).
% 0.21/0.74 thf(zip_derived_cl21, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (not_ok @ X0) | ~ (zero @ (in1 @ X0)) | (one @ (out1 @ X0)))),
% 0.21/0.74 inference('cnf', [status(esa)], [not_0_1_fw])).
% 0.21/0.74 thf(zip_derived_cl52, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 ( (abnormal @ (not1 @ X0))
% 0.21/0.74 | ~ (halfadder @ X0)
% 0.21/0.74 | (one @ (out1 @ (not1 @ X0)))
% 0.21/0.74 | ~ (zero @ (in1 @ (not1 @ X0))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl49, zip_derived_cl21])).
% 0.21/0.74 thf(diagnosis_not1, conjecture, (abnormal @ ( not1 @ h ))).
% 0.21/0.74 thf(zf_stmt_0, negated_conjecture, (~( abnormal @ ( not1 @ h ) )),
% 0.21/0.74 inference('cnf.neg', [status(esa)], [diagnosis_not1])).
% 0.21/0.74 thf(zip_derived_cl46, plain, (~ (abnormal @ (not1 @ h))),
% 0.21/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.74 thf(zip_derived_cl118, plain,
% 0.21/0.74 ((~ (zero @ (in1 @ (not1 @ h)))
% 0.21/0.74 | (one @ (out1 @ (not1 @ h)))
% 0.21/0.74 | ~ (halfadder @ h))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl52, zip_derived_cl46])).
% 0.21/0.74 thf(zip_derived_cl152, plain,
% 0.21/0.74 (( (one @ (out1 @ (not1 @ h))) | ~ (zero @ (in1 @ (not1 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl118])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_connection_out1and2_in1not1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) |
% 0.21/0.74 ( connection @ ( out1 @ ( and2 @ X ) ) @ ( in1 @ ( not1 @ X ) ) ))).
% 0.21/0.74 thf(zip_derived_cl38, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (connection @ (out1 @ (and2 @ X0)) @ (in1 @ (not1 @ X0))))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_connection_out1and2_in1not1])).
% 0.21/0.74 thf(zip_derived_cl150, plain,
% 0.21/0.74 ( (connection @ (out1 @ (and2 @ h)) @ (in1 @ (not1 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl38])).
% 0.21/0.74 thf(value_propagation_zero1, axiom,
% 0.21/0.74 (( ~( connection @ P1 @ P2 ) ) | ( ~( zero @ P1 ) ) | ( zero @ P2 ))).
% 0.21/0.74 thf(zip_derived_cl0, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (connection @ X0 @ X1) | ~ (zero @ X0) | (zero @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [value_propagation_zero1])).
% 0.21/0.74 thf(zip_derived_cl196, plain,
% 0.21/0.74 (( (zero @ (in1 @ (not1 @ h))) | ~ (zero @ (out1 @ (and2 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl150, zip_derived_cl0])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_connection_outc_out1and2, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) |
% 0.21/0.74 ( connection @ ( outc @ X ) @ ( out1 @ ( and2 @ X ) ) ))).
% 0.21/0.74 thf(zip_derived_cl36, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (connection @ (outc @ X0) @ (out1 @ (and2 @ X0))))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_connection_outc_out1and2])).
% 0.21/0.74 thf(zip_derived_cl148, plain,
% 0.21/0.74 ( (connection @ (outc @ h) @ (out1 @ (and2 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl36])).
% 0.21/0.74 thf(zip_derived_cl0, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (connection @ X0 @ X1) | ~ (zero @ X0) | (zero @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [value_propagation_zero1])).
% 0.21/0.74 thf(zip_derived_cl188, plain,
% 0.21/0.74 (( (zero @ (out1 @ (and2 @ h))) | ~ (zero @ (outc @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl148, zip_derived_cl0])).
% 0.21/0.74 thf(outc_0, axiom, (zero @ ( outc @ h ))).
% 0.21/0.74 thf(zip_derived_cl44, plain, ( (zero @ (outc @ h))),
% 0.21/0.74 inference('cnf', [status(esa)], [outc_0])).
% 0.21/0.74 thf(zip_derived_cl235, plain, ( (zero @ (out1 @ (and2 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl44])).
% 0.21/0.74 thf(zip_derived_cl243, plain, ( (zero @ (in1 @ (not1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl235])).
% 0.21/0.74 thf(zip_derived_cl244, plain, ( (one @ (out1 @ (not1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl243])).
% 0.21/0.74 thf(zip_derived_cl251, plain, ( (one @ (in2 @ (and1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl244])).
% 0.21/0.74 thf(unique_value, axiom, (( ~( zero @ P ) ) | ( ~( one @ P ) ))).
% 0.21/0.74 thf(zip_derived_cl4, plain, (![X0 : $i]: (~ (zero @ X0) | ~ (one @ X0))),
% 0.21/0.74 inference('cnf', [status(esa)], [unique_value])).
% 0.21/0.74 thf(zip_derived_cl253, plain, (~ (zero @ (in2 @ (and1 @ h)))),
% 0.21/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl251, zip_derived_cl4])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_and1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) | ( logic_and @ ( and1 @ X ) ))).
% 0.21/0.74 thf(zip_derived_cl27, plain,
% 0.21/0.74 (![X0 : $i]: (~ (halfadder @ X0) | (logic_and @ (and1 @ X0)))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_and1])).
% 0.21/0.74 thf(and_ok_or_abnormal, axiom,
% 0.21/0.74 (( ~( logic_and @ K ) ) | ( and_ok @ K ) | ( abnormal @ K ))).
% 0.21/0.74 thf(zip_derived_cl12, plain,
% 0.21/0.74 (![X0 : $i]: (~ (logic_and @ X0) | (and_ok @ X0) | (abnormal @ X0))),
% 0.21/0.74 inference('cnf', [status(esa)], [and_ok_or_abnormal])).
% 0.21/0.74 thf(zip_derived_cl50, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (abnormal @ (and1 @ X0))
% 0.21/0.74 | (and_ok @ (and1 @ X0)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl27, zip_derived_cl12])).
% 0.21/0.74 thf(diagnosis_and1, conjecture, (abnormal @ ( and1 @ h ))).
% 0.21/0.74 thf(zf_stmt_1, negated_conjecture, (~( abnormal @ ( and1 @ h ) )),
% 0.21/0.74 inference('cnf.neg', [status(esa)], [diagnosis_and1])).
% 0.21/0.74 thf(zip_derived_cl45, plain, (~ (abnormal @ (and1 @ h))),
% 0.21/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.74 thf(zip_derived_cl115, plain, (( (and_ok @ (and1 @ h)) | ~ (halfadder @ h))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl50, zip_derived_cl45])).
% 0.21/0.74 thf(and_0_00, axiom,
% 0.21/0.74 (( ~( and_ok @ K ) ) | ( ~( zero @ ( out1 @ K ) ) ) |
% 0.21/0.74 ( zero @ ( in1 @ K ) ) | ( zero @ ( in2 @ K ) ))).
% 0.21/0.74 thf(zip_derived_cl8, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (and_ok @ X0)
% 0.21/0.74 | ~ (zero @ (out1 @ X0))
% 0.21/0.74 | (zero @ (in1 @ X0))
% 0.21/0.74 | (zero @ (in2 @ X0)))),
% 0.21/0.74 inference('cnf', [status(esa)], [and_0_00])).
% 0.21/0.74 thf(zip_derived_cl140, plain,
% 0.21/0.74 ((~ (halfadder @ h)
% 0.21/0.74 | (zero @ (in2 @ (and1 @ h)))
% 0.21/0.74 | (zero @ (in1 @ (and1 @ h)))
% 0.21/0.74 | ~ (zero @ (out1 @ (and1 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl115, zip_derived_cl8])).
% 0.21/0.74 thf(zip_derived_cl165, plain,
% 0.21/0.74 ((~ (zero @ (out1 @ (and1 @ h)))
% 0.21/0.74 | (zero @ (in1 @ (and1 @ h)))
% 0.21/0.74 | (zero @ (in2 @ (and1 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl140])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_connection_outs_out1and1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) |
% 0.21/0.74 ( connection @ ( outs @ X ) @ ( out1 @ ( and1 @ X ) ) ))).
% 0.21/0.74 thf(zip_derived_cl35, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (connection @ (outs @ X0) @ (out1 @ (and1 @ X0))))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_connection_outs_out1and1])).
% 0.21/0.74 thf(zip_derived_cl147, plain,
% 0.21/0.74 ( (connection @ (outs @ h) @ (out1 @ (and1 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl35])).
% 0.21/0.74 thf(zip_derived_cl0, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (connection @ X0 @ X1) | ~ (zero @ X0) | (zero @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [value_propagation_zero1])).
% 0.21/0.74 thf(zip_derived_cl184, plain,
% 0.21/0.74 (( (zero @ (out1 @ (and1 @ h))) | ~ (zero @ (outs @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl147, zip_derived_cl0])).
% 0.21/0.74 thf(outs_0, axiom, (zero @ ( outs @ h ))).
% 0.21/0.74 thf(zip_derived_cl43, plain, ( (zero @ (outs @ h))),
% 0.21/0.74 inference('cnf', [status(esa)], [outs_0])).
% 0.21/0.74 thf(zip_derived_cl216, plain, ( (zero @ (out1 @ (and1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl43])).
% 0.21/0.74 thf(zip_derived_cl236, plain,
% 0.21/0.74 (( (zero @ (in1 @ (and1 @ h))) | (zero @ (in2 @ (and1 @ h))))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl216])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_connection_out1or1_in1_and1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) |
% 0.21/0.74 ( connection @ ( out1 @ ( or1 @ X ) ) @ ( in1 @ ( and1 @ X ) ) ))).
% 0.21/0.74 thf(zip_derived_cl37, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0)
% 0.21/0.74 | (connection @ (out1 @ (or1 @ X0)) @ (in1 @ (and1 @ X0))))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_connection_out1or1_in1_and1])).
% 0.21/0.74 thf(zip_derived_cl149, plain,
% 0.21/0.74 ( (connection @ (out1 @ (or1 @ h)) @ (in1 @ (and1 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl37])).
% 0.21/0.74 thf(zip_derived_cl1, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (connection @ X0 @ X1) | ~ (one @ X0) | (one @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [value_propagation_one1])).
% 0.21/0.74 thf(zip_derived_cl193, plain,
% 0.21/0.74 (( (one @ (in1 @ (and1 @ h))) | ~ (one @ (out1 @ (or1 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl149, zip_derived_cl1])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_or1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) | ( logic_or @ ( or1 @ X ) ))).
% 0.21/0.74 thf(zip_derived_cl30, plain,
% 0.21/0.74 (![X0 : $i]: (~ (halfadder @ X0) | (logic_or @ (or1 @ X0)))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_or1])).
% 0.21/0.74 thf(or_ok_or_abnormal, axiom,
% 0.21/0.74 (( ~( logic_or @ K ) ) | ( or_ok @ K ) | ( abnormal @ K ))).
% 0.21/0.74 thf(zip_derived_cl20, plain,
% 0.21/0.74 (![X0 : $i]: (~ (logic_or @ X0) | (or_ok @ X0) | (abnormal @ X0))),
% 0.21/0.74 inference('cnf', [status(esa)], [or_ok_or_abnormal])).
% 0.21/0.74 thf(zip_derived_cl48, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0) | (abnormal @ (or1 @ X0)) | (or_ok @ (or1 @ X0)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl30, zip_derived_cl20])).
% 0.21/0.74 thf(or_1x_1, axiom,
% 0.21/0.74 (( ~( or_ok @ K ) ) | ( ~( one @ ( in1 @ K ) ) ) | ( one @ ( out1 @ K ) ))).
% 0.21/0.74 thf(zip_derived_cl13, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (or_ok @ X0) | ~ (one @ (in1 @ X0)) | (one @ (out1 @ X0)))),
% 0.21/0.74 inference('cnf', [status(esa)], [or_1x_1])).
% 0.21/0.74 thf(zip_derived_cl57, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 ( (abnormal @ (or1 @ X0))
% 0.21/0.74 | ~ (halfadder @ X0)
% 0.21/0.74 | (one @ (out1 @ (or1 @ X0)))
% 0.21/0.74 | ~ (one @ (in1 @ (or1 @ X0))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl48, zip_derived_cl13])).
% 0.21/0.74 thf(diagnosis_or1, conjecture, (abnormal @ ( or1 @ h ))).
% 0.21/0.74 thf(zf_stmt_2, negated_conjecture, (~( abnormal @ ( or1 @ h ) )),
% 0.21/0.74 inference('cnf.neg', [status(esa)], [diagnosis_or1])).
% 0.21/0.74 thf(zip_derived_cl47, plain, (~ (abnormal @ (or1 @ h))),
% 0.21/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.74 thf(zip_derived_cl126, plain,
% 0.21/0.74 ((~ (one @ (in1 @ (or1 @ h)))
% 0.21/0.74 | (one @ (out1 @ (or1 @ h)))
% 0.21/0.74 | ~ (halfadder @ h))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl57, zip_derived_cl47])).
% 0.21/0.74 thf(zip_derived_cl156, plain,
% 0.21/0.74 (( (one @ (out1 @ (or1 @ h))) | ~ (one @ (in1 @ (or1 @ h))))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl126])).
% 0.21/0.74 thf(zip_derived_cl40, plain, ( (halfadder @ h)),
% 0.21/0.74 inference('cnf', [status(esa)], [h_isa_halfadder])).
% 0.21/0.74 thf(halfadder_connection_in1_in1or1, axiom,
% 0.21/0.74 (( ~( halfadder @ X ) ) |
% 0.21/0.74 ( connection @ ( in1 @ X ) @ ( in1 @ ( or1 @ X ) ) ))).
% 0.21/0.74 thf(zip_derived_cl31, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (~ (halfadder @ X0) | (connection @ (in1 @ X0) @ (in1 @ (or1 @ X0))))),
% 0.21/0.74 inference('cnf', [status(esa)], [halfadder_connection_in1_in1or1])).
% 0.21/0.74 thf(zip_derived_cl143, plain,
% 0.21/0.74 ( (connection @ (in1 @ h) @ (in1 @ (or1 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl40, zip_derived_cl31])).
% 0.21/0.74 thf(zip_derived_cl1, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (connection @ X0 @ X1) | ~ (one @ X0) | (one @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [value_propagation_one1])).
% 0.21/0.74 thf(zip_derived_cl169, plain,
% 0.21/0.74 (( (one @ (in1 @ (or1 @ h))) | ~ (one @ (in1 @ h)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl143, zip_derived_cl1])).
% 0.21/0.74 thf(in1_1, axiom, (one @ ( in1 @ h ))).
% 0.21/0.74 thf(zip_derived_cl41, plain, ( (one @ (in1 @ h))),
% 0.21/0.74 inference('cnf', [status(esa)], [in1_1])).
% 0.21/0.74 thf(zip_derived_cl206, plain, ( (one @ (in1 @ (or1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl41])).
% 0.21/0.74 thf(zip_derived_cl218, plain, ( (one @ (out1 @ (or1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl206])).
% 0.21/0.74 thf(zip_derived_cl237, plain, ( (one @ (in1 @ (and1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl218])).
% 0.21/0.74 thf(zip_derived_cl4, plain, (![X0 : $i]: (~ (zero @ X0) | ~ (one @ X0))),
% 0.21/0.74 inference('cnf', [status(esa)], [unique_value])).
% 0.21/0.74 thf(zip_derived_cl239, plain, (~ (zero @ (in1 @ (and1 @ h)))),
% 0.21/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl4])).
% 0.21/0.74 thf(zip_derived_cl240, plain, ( (zero @ (in2 @ (and1 @ h)))),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl239])).
% 0.21/0.74 thf(zip_derived_cl254, plain, ($false),
% 0.21/0.74 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl240])).
% 0.21/0.74
% 0.21/0.74 % SZS output end Refutation
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 1.24/0.83 % Runner terminated.
% 1.61/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------