%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO631-1 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.34BZaDbj8j true
% Computer : n014.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 1.20s 0.75s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO631-1 : TPTP v9.2.0. Released v7.1.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.34BZaDbj8j true
% 0.06/0.25 % Computer : n014.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Wed Oct 1 18:02:54 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % Running portfolio for 300 s
% 0.06/0.25 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Number of cores: 8
% 0.06/0.26 % Python version: Python 3.6.8
% 0.06/0.26 % Running in FO mode
% 0.11/0.52 % Total configuration time : 435
% 0.11/0.52 % Estimated wc time : 1092
% 0.11/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.11/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.97/0.60 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.63 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.63 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.63 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.63 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.64 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.19/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.20/0.75 % Solved by fo/fo5.sh.
% 1.20/0.75 % done 138 iterations in 0.084s
% 1.20/0.75 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.20/0.75 % SZS output start Refutation
% 1.20/0.75 thf(f_type, type, f: $i > $i).
% 1.20/0.75 thf(0_type, type, 0: $i).
% 1.20/0.75 thf(g_type, type, g: $i > $i).
% 1.20/0.75 thf(s_type, type, s: $i > $i).
% 1.20/0.75 thf(E_type, type, E: $i > $i > $o).
% 1.20/0.75 thf(LE_type, type, LE: $i > $i > $o).
% 1.20/0.75 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.20/0.75 thf(clause_18_06, axiom, (iLEQ @ A_14 @ A_14)).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(clause_3_02, axiom, (iLEQ @ A_23 @ ( g @ A_23 ))).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_3_02])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(clause_49_39, axiom,
% 1.20/0.75 (( E @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ A ) ) |
% 1.20/0.75 ( LE @
% 1.20/0.75 ( f @ A ) @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl38, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ X0))
% 1.20/0.75 | (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_49_39])).
% 1.20/0.75 thf(zip_derived_cl38, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ X0))
% 1.20/0.75 | (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_49_39])).
% 1.20/0.75 thf(clause_42_32, axiom,
% 1.20/0.75 (( ~( E @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ A_2 ) ) ) |
% 1.20/0.75 ( ~( E @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ ( g @ A_2 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_2 ) @ ( f @ ( g @ A_2 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl31, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ X0))
% 1.20/0.75 | ~ (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_42_32])).
% 1.20/0.75 thf(clause_19_05, axiom, (~( E @ ( f @ A_26 ) @ ( f @ ( g @ A_26 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl67, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl31, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl68, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 1.20/0.75 | ~ (E @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))) @
% 1.20/0.75 (f @ X0)))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl67])).
% 1.20/0.75 thf(zip_derived_cl69, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 1.20/0.75 | (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl68])).
% 1.20/0.75 thf(clause_48_04, axiom,
% 1.20/0.75 (( ~( LE @
% 1.20/0.75 ( f @ A_1 ) @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_1 @ B_0 ) ) |
% 1.20/0.75 ( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ B_0 ) ) |
% 1.20/0.75 ( LE @
% 1.20/0.75 ( f @ B_0 ) @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl3, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_48_04])).
% 1.20/0.75 thf(zip_derived_cl70, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 1.20/0.75 | (LE @ (f @ X1) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ X0) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3])).
% 1.20/0.75 thf(zip_derived_cl71, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl70])).
% 1.20/0.75 thf(zip_derived_cl3, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_48_04])).
% 1.20/0.75 thf(zip_derived_cl73, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (LE @ (f @ X1) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl3])).
% 1.20/0.75 thf(zip_derived_cl76, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl73])).
% 1.20/0.75 thf(zip_derived_cl77, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 1.20/0.75 thf(zip_derived_cl77, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 1.20/0.75 thf(clause_27_01, axiom,
% 1.20/0.75 (( ~( E @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ A_5 ) ) ) |
% 1.20/0.75 ( ~( E @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ ( g @ A_5 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_5 ) @ ( f @ ( g @ A_5 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl0, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_27_01])).
% 1.20/0.75 thf(zip_derived_cl78, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X0)))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl0])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl79, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))) @
% 1.20/0.75 (f @ X0))
% 1.20/0.75 | (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl78, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl80, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl79])).
% 1.20/0.75 thf(clause_10_13, axiom,
% 1.20/0.75 (( ~( LE @
% 1.20/0.75 ( f @ A_4 ) @
% 1.20/0.75 ( s @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_4 @ B_2 ) ) |
% 1.20/0.75 ( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ B_2 ) ) |
% 1.20/0.75 ( LE @
% 1.20/0.75 ( f @ B_2 ) @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl12, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_10_13])).
% 1.20/0.75 thf(zip_derived_cl81, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ X0)) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl12])).
% 1.20/0.75 thf(zip_derived_cl82, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (LE @ (f @ (g @ X0)) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl81])).
% 1.20/0.75 thf(zip_derived_cl12, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_10_13])).
% 1.20/0.75 thf(zip_derived_cl84, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ X0) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl12])).
% 1.20/0.75 thf(zip_derived_cl88, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 1.20/0.75 thf(zip_derived_cl89, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0)))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 1.20/0.75 thf(zip_derived_cl89, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0)))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 1.20/0.75 thf(clause_31_54, axiom,
% 1.20/0.75 (( ~( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ A_8 ) ) ) |
% 1.20/0.75 ( ~( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ ( g @ A_8 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_8 ) @ ( f @ ( g @ A_8 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl53, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_31_54])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl66, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl53, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl90, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))) @
% 1.20/0.75 (f @ (g @ X0))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl66])).
% 1.20/0.75 thf(zip_derived_cl92, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl90])).
% 1.20/0.75 thf(clause_26_19, axiom,
% 1.20/0.75 (( ~( LE @
% 1.20/0.75 ( f @ A_7 ) @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_7 @ B_4 ) ) |
% 1.20/0.75 ( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) @ ( f @ B_4 ) ) |
% 1.20/0.75 ( LE @
% 1.20/0.75 ( f @ B_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl18, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_26_19])).
% 1.20/0.75 thf(zip_derived_cl93, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ X0))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl18])).
% 1.20/0.75 thf(zip_derived_cl94, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0)))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ X0))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl93])).
% 1.20/0.75 thf(zip_derived_cl18, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_26_19])).
% 1.20/0.75 thf(zip_derived_cl96, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0)))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ X0)) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl18])).
% 1.20/0.75 thf(zip_derived_cl102, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0)))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0)))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 1.20/0.75 thf(zip_derived_cl103, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl102])).
% 1.20/0.75 thf(zip_derived_cl103, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl102])).
% 1.20/0.75 thf(clause_44_07, axiom,
% 1.20/0.75 (( ~( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ A_11 ) ) ) |
% 1.20/0.75 ( ~( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) @
% 1.20/0.75 ( f @ ( g @ A_11 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_11 ) @ ( f @ ( g @ A_11 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl6, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_44_07])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl65, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl104, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))) @
% 1.20/0.75 (f @ (g @ (g @ X0)))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl65])).
% 1.20/0.75 thf(zip_derived_cl107, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl104])).
% 1.20/0.75 thf(clause_54_45, axiom,
% 1.20/0.75 (( ~( LE @
% 1.20/0.75 ( f @ A_10 ) @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_10 @ B_6 ) ) |
% 1.20/0.75 ( E @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) @ ( f @ B_6 ) ) |
% 1.20/0.75 ( LE @ ( f @ B_6 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl44, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_54_45])).
% 1.20/0.75 thf(zip_derived_cl108, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ X0)))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl44])).
% 1.20/0.75 thf(zip_derived_cl109, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ X0)))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl108])).
% 1.20/0.75 thf(zip_derived_cl44, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_54_45])).
% 1.20/0.75 thf(zip_derived_cl111, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ X0))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl44])).
% 1.20/0.75 thf(zip_derived_cl115, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl111])).
% 1.20/0.75 thf(zip_derived_cl116, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl115])).
% 1.20/0.75 thf(zip_derived_cl116, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl115])).
% 1.20/0.75 thf(clause_11_16, axiom,
% 1.20/0.75 (( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) @ ( f @ A_14 ) ) ) |
% 1.20/0.75 ( ~( E @
% 1.20/0.75 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) @
% 1.20/0.75 ( f @ ( g @ A_14 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_14 ) @ ( f @ ( g @ A_14 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl15, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_11_16])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl64, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl117, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ X0))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl64])).
% 1.20/0.75 thf(zip_derived_cl119, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl117])).
% 1.20/0.75 thf(clause_5_11, axiom,
% 1.20/0.75 (( ~( LE @ ( f @ A_13 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_13 @ B_8 ) ) |
% 1.20/0.75 ( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ B_8 ) ) |
% 1.20/0.75 ( LE @ ( f @ B_8 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl10, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_5_11])).
% 1.20/0.75 thf(zip_derived_cl120, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ X0))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl10])).
% 1.20/0.75 thf(zip_derived_cl121, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl120])).
% 1.20/0.75 thf(zip_derived_cl10, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_5_11])).
% 1.20/0.75 thf(zip_derived_cl123, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ X0)))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl10])).
% 1.20/0.75 thf(zip_derived_cl129, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl123])).
% 1.20/0.75 thf(zip_derived_cl130, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 1.20/0.75 thf(zip_derived_cl130, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 1.20/0.75 thf(clause_40_23, axiom,
% 1.20/0.75 (( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ A_17 ) ) ) |
% 1.20/0.75 ( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ ( g @ A_17 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_17 ) @ ( f @ ( g @ A_17 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl22, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_40_23])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl63, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl131, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl63])).
% 1.20/0.75 thf(zip_derived_cl134, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl131])).
% 1.20/0.75 thf(clause_0_36, axiom,
% 1.20/0.75 (( ~( LE @ ( f @ A_16 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_16 @ B_10 ) ) |
% 1.20/0.75 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_10 ) ) |
% 1.20/0.75 ( LE @ ( f @ B_10 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl35, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_0_36])).
% 1.20/0.75 thf(zip_derived_cl135, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl35])).
% 1.20/0.75 thf(zip_derived_cl136, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl135])).
% 1.20/0.75 thf(zip_derived_cl35, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_0_36])).
% 1.20/0.75 thf(zip_derived_cl138, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ X0))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl35])).
% 1.20/0.75 thf(zip_derived_cl140, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl138])).
% 1.20/0.75 thf(zip_derived_cl141, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl140])).
% 1.20/0.75 thf(zip_derived_cl141, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl140])).
% 1.20/0.75 thf(clause_55_48, axiom,
% 1.20/0.75 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_20 ) ) ) |
% 1.20/0.75 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( g @ A_20 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_20 ) @ ( f @ ( g @ A_20 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl47, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_55_48])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl62, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl142, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ X0))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl62])).
% 1.20/0.75 thf(zip_derived_cl143, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl142])).
% 1.20/0.75 thf(clause_8_03, axiom,
% 1.20/0.75 (( ~( LE @ ( f @ A_19 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_19 @ B_12 ) ) |
% 1.20/0.75 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_12 ) ) |
% 1.20/0.75 ( LE @ ( f @ B_12 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.20/0.75 thf(zip_derived_cl2, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0)))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_8_03])).
% 1.20/0.75 thf(zip_derived_cl144, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl2])).
% 1.20/0.75 thf(zip_derived_cl145, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @
% 1.20/0.75 (s @ (s @ (s @ (s @ 0))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl144])).
% 1.20/0.75 thf(zip_derived_cl2, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0)))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_8_03])).
% 1.20/0.75 thf(zip_derived_cl147, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl2])).
% 1.20/0.75 thf(zip_derived_cl152, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0)))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl147])).
% 1.20/0.75 thf(zip_derived_cl153, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl152])).
% 1.20/0.75 thf(zip_derived_cl153, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl152])).
% 1.20/0.75 thf(clause_29_12, axiom,
% 1.20/0.75 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_23 ) ) ) |
% 1.20/0.75 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( g @ A_23 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_23 ) @ ( f @ ( g @ A_23 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl11, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_29_12])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl61, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl154, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | ~ (E @ (s @ (s @ (s @ 0))) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl61])).
% 1.20/0.75 thf(zip_derived_cl157, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0)))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl154])).
% 1.20/0.75 thf(clause_51_50, axiom,
% 1.20/0.75 (( ~( LE @ ( f @ A_22 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_22 @ B_14 ) ) | ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_14 ) ) |
% 1.20/0.75 ( LE @ ( f @ B_14 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl49, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ 0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_51_50])).
% 1.20/0.75 thf(zip_derived_cl158, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ 0)))
% 1.20/0.75 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl49])).
% 1.20/0.75 thf(zip_derived_cl159, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @
% 1.20/0.75 (s @ (s @ (s @ 0)))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl158])).
% 1.20/0.75 thf(zip_derived_cl49, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ 0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_51_50])).
% 1.20/0.75 thf(zip_derived_cl161, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ (s @ 0)))
% 1.20/0.75 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl49])).
% 1.20/0.75 thf(zip_derived_cl163, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl161])).
% 1.20/0.75 thf(zip_derived_cl164, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 1.20/0.75 thf(zip_derived_cl164, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 1.20/0.75 thf(clause_20_22, axiom,
% 1.20/0.75 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_26 ) ) ) |
% 1.20/0.75 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( g @ A_26 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_26 ) @ ( f @ ( g @ A_26 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl21, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ (s @ 0)) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_20_22])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl60, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ (s @ 0)) @ (f @ (g @ X0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl165, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | ~ (E @ (s @ (s @ 0)) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl60])).
% 1.20/0.75 thf(zip_derived_cl166, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ (s @ 0))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl165])).
% 1.20/0.75 thf(clause_23_21, axiom,
% 1.20/0.75 (( ~( LE @ ( f @ A_25 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.20/0.75 ( ~( iLEQ @ A_25 @ B_16 ) ) | ( E @ ( s @ 0 ) @ ( f @ B_16 ) ) |
% 1.20/0.75 ( LE @ ( f @ B_16 ) @ ( s @ 0 ) ))).
% 1.20/0.75 thf(zip_derived_cl20, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ 0) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ 0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_23_21])).
% 1.20/0.75 thf(zip_derived_cl167, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0)))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ 0))
% 1.20/0.75 | (E @ (s @ 0) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl20])).
% 1.20/0.75 thf(zip_derived_cl168, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @
% 1.20/0.75 (s @ (s @ 0))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl167])).
% 1.20/0.75 thf(zip_derived_cl20, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ (s @ 0) @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ 0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_23_21])).
% 1.20/0.75 thf(zip_derived_cl170, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))
% 1.20/0.75 | (LE @ (f @ X1) @ (s @ 0))
% 1.20/0.75 | (E @ (s @ 0) @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl20])).
% 1.20/0.75 thf(zip_derived_cl172, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0)))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl170])).
% 1.20/0.75 thf(zip_derived_cl173, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 1.20/0.75 thf(zip_derived_cl173, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))))),
% 1.20/0.75 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 1.20/0.75 thf(clause_30_35, axiom,
% 1.20/0.75 (( ~( E @ ( s @ 0 ) @ ( f @ A_29 ) ) ) |
% 1.20/0.75 ( ~( E @ ( s @ 0 ) @ ( f @ ( g @ A_29 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_29 ) @ ( f @ ( g @ A_29 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl34, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ 0) @ (f @ X0))
% 1.20/0.75 | ~ (E @ (s @ 0) @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_30_35])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl59, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ (s @ 0) @ (f @ (g @ X0))) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl34, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl174, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | ~ (E @ (s @ 0) @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl59])).
% 1.20/0.75 thf(zip_derived_cl175, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))) @
% 1.20/0.75 (s @ 0)))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl174])).
% 1.20/0.75 thf(clause_56_31, axiom,
% 1.20/0.75 (( ~( LE @ ( f @ A_28 ) @ ( s @ 0 ) ) ) | ( ~( iLEQ @ A_28 @ B_18 ) ) |
% 1.20/0.75 ( E @ 0 @ ( f @ B_18 ) ) | ( LE @ ( f @ B_18 ) @ 0 ))).
% 1.20/0.75 thf(zip_derived_cl30, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ 0 @ (f @ X1))
% 1.20/0.75 | (LE @ (f @ X1) @ 0))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_56_31])).
% 1.20/0.75 thf(clause_38_52, axiom, (~( LE @ ( f @ A_30 ) @ 0 ))).
% 1.20/0.75 thf(zip_derived_cl51, plain, (![X0 : $i]: ~ (LE @ (f @ X0) @ 0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_38_52])).
% 1.20/0.75 thf(zip_derived_cl58, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ 0 @ (f @ X1)))),
% 1.20/0.75 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl51])).
% 1.20/0.75 thf(zip_derived_cl176, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (E @ 0 @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl58])).
% 1.20/0.75 thf(zip_derived_cl178, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ 0 @
% 1.20/0.75 (f @
% 1.20/0.75 (g @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0)))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl176])).
% 1.20/0.75 thf(clause_2_25, axiom,
% 1.20/0.75 (( ~( E @ 0 @ ( f @ A_30 ) ) ) | ( ~( E @ 0 @ ( f @ ( g @ A_30 ) ) ) ) |
% 1.20/0.75 ( E @ ( f @ A_30 ) @ ( f @ ( g @ A_30 ) ) ))).
% 1.20/0.75 thf(zip_derived_cl24, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (~ (E @ 0 @ (f @ X0))
% 1.20/0.75 | ~ (E @ 0 @ (f @ (g @ X0)))
% 1.20/0.75 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_2_25])).
% 1.20/0.75 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_19_05])).
% 1.20/0.75 thf(zip_derived_cl57, plain,
% 1.20/0.75 (![X0 : $i]: (~ (E @ 0 @ (f @ (g @ X0))) | ~ (E @ 0 @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl180, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | ~ (E @ 0 @
% 1.20/0.75 (f @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl57])).
% 1.20/0.75 thf(zip_derived_cl5, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.20/0.75 inference('cnf', [status(esa)], [clause_18_06])).
% 1.20/0.75 thf(zip_derived_cl176, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))
% 1.20/0.75 | (E @ 0 @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl58])).
% 1.20/0.75 thf(zip_derived_cl177, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ( (E @ 0 @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))))
% 1.20/0.75 | (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0)))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl176])).
% 1.20/0.75 thf(zip_derived_cl183, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (LE @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))) @
% 1.20/0.75 (s @ 0))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl180, zip_derived_cl177])).
% 1.20/0.75 thf(zip_derived_cl58, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.20/0.75 | ~ (iLEQ @ X0 @ X1)
% 1.20/0.75 | (E @ 0 @ (f @ X1)))),
% 1.20/0.75 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl51])).
% 1.20/0.75 thf(zip_derived_cl184, plain,
% 1.20/0.75 (![X0 : $i, X1 : $i]:
% 1.20/0.75 ( (E @ 0 @ (f @ X1))
% 1.20/0.75 | ~ (iLEQ @
% 1.20/0.75 (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))) @ X1))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl58])).
% 1.20/0.75 thf(zip_derived_cl185, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (E @ 0 @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl184])).
% 1.20/0.75 thf(zip_derived_cl185, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 (E @ 0 @
% 1.20/0.75 (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0)))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl184])).
% 1.20/0.75 thf(zip_derived_cl57, plain,
% 1.20/0.75 (![X0 : $i]: (~ (E @ 0 @ (f @ (g @ X0))) | ~ (E @ 0 @ (f @ X0)))),
% 1.20/0.75 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl4])).
% 1.20/0.75 thf(zip_derived_cl187, plain,
% 1.20/0.75 (![X0 : $i]:
% 1.20/0.75 ~ (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ (g @ X0))))))))))),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl57])).
% 1.20/0.75 thf(zip_derived_cl188, plain, ($false),
% 1.20/0.75 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl187])).
% 1.20/0.75
% 1.20/0.75 % SZS output end Refutation
% 1.20/0.75
% 1.20/0.75
% 1.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.20/0.76 % Terminating...
% 1.52/300.03 Alarm clock
% 1.52/300.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------