%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO630-1 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3XxSL4Mov7 true
% Computer : n031.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 Oct 2 05:08:02 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.80s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO630-1 : TPTP v9.2.0. Released v7.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3XxSL4Mov7 true
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Oct 1 18:14:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80 % Solved by fo/fo4.sh.
% 0.56/0.80 % done 53 iterations in 0.027s
% 0.56/0.80 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.80 % SZS output start Refutation
% 0.56/0.80 thf(f_type, type, f: $i > $i).
% 0.56/0.80 thf(0_type, type, 0: $i).
% 0.56/0.80 thf(s_type, type, s: $i > $i).
% 0.56/0.80 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.56/0.80 thf(E_type, type, E: $i > $i > $o).
% 0.56/0.80 thf(g_type, type, g: $i > $i).
% 0.56/0.80 thf(LE_type, type, LE: $i > $i > $o).
% 0.56/0.80 thf(clause_13_02, axiom, (iLEQ @ A_2 @ ( g @ A_2 ))).
% 0.56/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_13_02])).
% 0.56/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_13_02])).
% 0.56/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_13_02])).
% 0.56/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_13_02])).
% 0.56/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_13_02])).
% 0.56/0.80 thf(clause_8_01, axiom,
% 0.56/0.80 (( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ A ) ) |
% 0.56/0.80 ( LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ))).
% 0.56/0.80 thf(zip_derived_cl0, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 0.56/0.80 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_8_01])).
% 0.56/0.80 thf(clause_7_16, axiom,
% 0.56/0.80 (( ~( LE @ ( f @ A_1 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.56/0.80 ( ~( iLEQ @ A_1 @ B_0 ) ) |
% 0.56/0.80 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_0 ) ) |
% 0.56/0.80 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 0.56/0.80 thf(zip_derived_cl15, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1)
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0))))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_7_16])).
% 0.56/0.80 thf(zip_derived_cl39, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 0.56/0.80 thf(zip_derived_cl41, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 0.56/0.80 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl39])).
% 0.56/0.80 thf(clause_18_04, axiom, (iLEQ @ A_14 @ A_14)).
% 0.56/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_18_04])).
% 0.56/0.80 thf(zip_derived_cl39, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 0.56/0.80 thf(zip_derived_cl40, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 0.56/0.80 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl39])).
% 0.56/0.80 thf(clause_3_10, axiom,
% 0.56/0.80 (( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ A_2 ) ) ) |
% 0.56/0.80 ( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ ( g @ A_2 ) ) ) ) |
% 0.56/0.80 ( E @ ( f @ A_2 ) @ ( f @ ( g @ A_2 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl9, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ (g @ X0)))
% 0.56/0.80 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_3_10])).
% 0.56/0.80 thf(clause_31_05, axiom, (~( E @ ( f @ A_8 ) @ ( f @ ( g @ A_8 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_31_05])).
% 0.56/0.80 thf(zip_derived_cl38, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ (g @ X0)))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.56/0.80 thf(zip_derived_cl42, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl38])).
% 0.56/0.80 thf(zip_derived_cl44, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl42])).
% 0.56/0.80 thf(clause_26_17, axiom,
% 0.56/0.80 (( ~( LE @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.56/0.80 ( ~( iLEQ @ A_4 @ B_2 ) ) |
% 0.56/0.80 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_2 ) ) |
% 0.56/0.80 ( LE @ ( f @ B_2 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.56/0.80 thf(zip_derived_cl16, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1)
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_26_17])).
% 0.56/0.80 thf(zip_derived_cl45, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ (g @ X0) @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl16])).
% 0.56/0.80 thf(zip_derived_cl47, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 0.56/0.80 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl45])).
% 0.56/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_18_04])).
% 0.56/0.80 thf(zip_derived_cl45, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ (g @ X0) @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl16])).
% 0.56/0.80 thf(zip_derived_cl46, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 0.56/0.80 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl45])).
% 0.56/0.80 thf(clause_12_30, axiom,
% 0.56/0.80 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_5 ) ) ) |
% 0.56/0.80 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( g @ A_5 ) ) ) ) |
% 0.56/0.80 ( E @ ( f @ A_5 ) @ ( f @ ( g @ A_5 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl29, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 0.56/0.80 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_12_30])).
% 0.56/0.80 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_31_05])).
% 0.56/0.80 thf(zip_derived_cl37, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 0.56/0.80 thf(zip_derived_cl48, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl37])).
% 0.56/0.80 thf(zip_derived_cl50, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0)))))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl48])).
% 0.56/0.80 thf(clause_16_15, axiom,
% 0.56/0.80 (( ~( LE @ ( f @ A_7 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.80 ( ~( iLEQ @ A_7 @ B_4 ) ) | ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_4 ) ) |
% 0.56/0.80 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl14, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1)
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ 0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_16_15])).
% 0.56/0.80 thf(zip_derived_cl51, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ 0)))
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ (g @ (g @ X0)) @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl14])).
% 0.56/0.80 thf(zip_derived_cl53, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 0.56/0.80 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0)))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 0.56/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_18_04])).
% 0.56/0.80 thf(zip_derived_cl51, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ (s @ 0)))
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ (g @ (g @ X0)) @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl14])).
% 0.56/0.80 thf(zip_derived_cl52, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ X0))))
% 0.56/0.80 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ 0)))
% 0.56/0.80 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0)))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl51])).
% 0.56/0.80 thf(clause_21_11, axiom,
% 0.56/0.80 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_8 ) ) ) |
% 0.56/0.80 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( g @ A_8 ) ) ) ) |
% 0.56/0.80 ( E @ ( f @ A_8 ) @ ( f @ ( g @ A_8 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl10, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 0.56/0.80 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_21_11])).
% 0.56/0.80 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_31_05])).
% 0.56/0.80 thf(zip_derived_cl36, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 0.56/0.80 thf(zip_derived_cl54, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ 0)))
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ X0))))
% 0.56/0.80 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl36])).
% 0.56/0.80 thf(zip_derived_cl56, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0))))))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl53, zip_derived_cl54])).
% 0.56/0.80 thf(clause_17_32, axiom,
% 0.56/0.80 (( ~( LE @ ( f @ A_10 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.80 ( ~( iLEQ @ A_10 @ B_6 ) ) | ( E @ ( s @ 0 ) @ ( f @ B_6 ) ) |
% 0.56/0.80 ( LE @ ( f @ B_6 ) @ ( s @ 0 ) ))).
% 0.56/0.80 thf(zip_derived_cl31, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1)
% 0.56/0.80 | (E @ (s @ 0) @ (f @ X1))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ 0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_17_32])).
% 0.56/0.80 thf(zip_derived_cl57, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ 0))
% 0.56/0.80 | (E @ (s @ 0) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ (g @ (g @ (g @ X0))) @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl31])).
% 0.56/0.80 thf(zip_derived_cl59, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 0.56/0.80 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0))))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl57])).
% 0.56/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_18_04])).
% 0.56/0.80 thf(zip_derived_cl57, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 0.56/0.80 | (LE @ (f @ X1) @ (s @ 0))
% 0.56/0.80 | (E @ (s @ 0) @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ (g @ (g @ (g @ X0))) @ X1))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl31])).
% 0.56/0.80 thf(zip_derived_cl58, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ (s @ 0) @ (f @ (g @ (g @ (g @ X0)))))
% 0.56/0.80 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ 0))
% 0.56/0.80 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0))))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl57])).
% 0.56/0.80 thf(clause_27_12, axiom,
% 0.56/0.80 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_11 ) ) ) |
% 0.56/0.80 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( g @ A_11 ) ) ) ) |
% 0.56/0.80 ( E @ ( f @ A_11 ) @ ( f @ ( g @ A_11 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl11, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.80 | ~ (E @ (s @ (s @ 0)) @ (f @ (g @ X0)))
% 0.56/0.80 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_27_12])).
% 0.56/0.80 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_31_05])).
% 0.56/0.80 thf(zip_derived_cl35, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ (s @ 0)) @ (f @ (g @ X0)))
% 0.56/0.80 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 0.56/0.80 thf(zip_derived_cl60, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ 0))
% 0.56/0.80 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ X0)))))
% 0.56/0.80 | ~ (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ X0)))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl35])).
% 0.56/0.80 thf(zip_derived_cl62, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 0.56/0.80 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl59, zip_derived_cl60])).
% 0.56/0.80 thf(clause_1_06, axiom,
% 0.56/0.80 (( ~( LE @ ( f @ A_13 ) @ ( s @ 0 ) ) ) | ( ~( iLEQ @ A_13 @ B_8 ) ) |
% 0.56/0.80 ( E @ 0 @ ( f @ B_8 ) ) | ( LE @ ( f @ B_8 ) @ 0 ))).
% 0.56/0.80 thf(zip_derived_cl5, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1)
% 0.56/0.80 | (E @ 0 @ (f @ X1))
% 0.56/0.80 | (LE @ (f @ X1) @ 0))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_1_06])).
% 0.56/0.80 thf(clause_6_07, axiom, (~( LE @ ( f @ A_15 ) @ 0 ))).
% 0.56/0.80 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (LE @ (f @ X0) @ 0)),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_6_07])).
% 0.56/0.80 thf(zip_derived_cl33, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ 0 @ (f @ X1))
% 0.56/0.80 | ~ (iLEQ @ X0 @ X1)
% 0.56/0.80 | ~ (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.56/0.80 thf(zip_derived_cl63, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 0.56/0.80 | ~ (iLEQ @ (g @ (g @ (g @ (g @ X0)))) @ X1)
% 0.56/0.80 | (E @ 0 @ (f @ X1)))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl33])).
% 0.56/0.80 thf(zip_derived_cl65, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 0.56/0.80 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl63])).
% 0.56/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_18_04])).
% 0.56/0.80 thf(zip_derived_cl63, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ( (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 0.56/0.80 | ~ (iLEQ @ (g @ (g @ (g @ (g @ X0)))) @ X1)
% 0.56/0.80 | (E @ 0 @ (f @ X1)))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl33])).
% 0.56/0.80 thf(zip_derived_cl64, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ 0 @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 0.56/0.80 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl63])).
% 0.56/0.80 thf(clause_30_13, axiom,
% 0.56/0.80 (( ~( E @ ( s @ 0 ) @ ( f @ A_14 ) ) ) |
% 0.56/0.80 ( ~( E @ ( s @ 0 ) @ ( f @ ( g @ A_14 ) ) ) ) |
% 0.56/0.80 ( E @ ( f @ A_14 ) @ ( f @ ( g @ A_14 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl12, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.80 | ~ (E @ (s @ 0) @ (f @ (g @ X0)))
% 0.56/0.80 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_30_13])).
% 0.56/0.80 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_31_05])).
% 0.56/0.80 thf(zip_derived_cl34, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ (s @ 0) @ (f @ (g @ X0))) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.56/0.80 thf(zip_derived_cl66, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 ( (E @ 0 @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 0.56/0.80 | ~ (E @ (s @ 0) @ (f @ (g @ (g @ (g @ X0))))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl34])).
% 0.56/0.80 thf(zip_derived_cl69, plain,
% 0.56/0.80 (![X0 : $i]: (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl66])).
% 0.56/0.80 thf(zip_derived_cl69, plain,
% 0.56/0.80 (![X0 : $i]: (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl66])).
% 0.56/0.80 thf(clause_29_24, axiom,
% 0.56/0.80 (( ~( E @ 0 @ ( f @ A_15 ) ) ) | ( ~( E @ 0 @ ( f @ ( g @ A_15 ) ) ) ) |
% 0.56/0.80 ( E @ ( f @ A_15 ) @ ( f @ ( g @ A_15 ) ) ))).
% 0.56/0.80 thf(zip_derived_cl23, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (~ (E @ 0 @ (f @ X0))
% 0.56/0.80 | ~ (E @ 0 @ (f @ (g @ X0)))
% 0.56/0.80 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_29_24])).
% 0.56/0.80 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 0.56/0.80 inference('cnf', [status(esa)], [clause_31_05])).
% 0.56/0.80 thf(zip_derived_cl32, plain,
% 0.56/0.80 (![X0 : $i]: (~ (E @ 0 @ (f @ (g @ X0))) | ~ (E @ 0 @ (f @ X0)))),
% 0.56/0.80 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl4])).
% 0.56/0.80 thf(zip_derived_cl70, plain,
% 0.56/0.80 (![X0 : $i]: ~ (E @ 0 @ (f @ (g @ (g @ (g @ (g @ X0))))))),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl32])).
% 0.56/0.80 thf(zip_derived_cl73, plain, ($false),
% 0.56/0.80 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl70])).
% 0.56/0.80
% 0.56/0.80 % SZS output end Refutation
% 0.56/0.80
% 0.56/0.80
% 0.56/0.80 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------