%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN313-1.001.002 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3PHi9rsXue true
% Computer : n015.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 05:04:26 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.84s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN313-1.001.002 : TPTP v9.2.0. Released v1.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3PHi9rsXue true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:42:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84 % Solved by fo/fo3_bce.sh.
% 0.59/0.84 % BCE start: 2
% 0.59/0.84 % BCE eliminated: 0
% 0.59/0.84 % PE start: 2
% 0.59/0.84 logic: neq
% 0.59/0.84 % PE eliminated: 0
% 0.59/0.84 % done 25 iterations in 0.063s
% 0.59/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.84 % SZS output start Refutation
% 0.59/0.84 thf(j0_type, type, j0: $i > $i).
% 0.59/0.84 thf(p_type, type, p: $i > $i > $i > $o).
% 0.59/0.84 thf(h0_type, type, h0: $i).
% 0.59/0.84 thf(j1_type, type, j1: $i > $i).
% 0.59/0.84 thf(f0_type, type, f0: $i > $i).
% 0.59/0.84 thf(h2_type, type, h2: $i > $i).
% 0.59/0.84 thf(h1_type, type, h1: $i > $i).
% 0.59/0.84 thf(f1_type, type, f1: $i > $i).
% 0.59/0.84 thf(j2_type, type, j2: $i > $i).
% 0.59/0.84 thf(clause2, conjecture,
% 0.59/0.84 (~( ( p @ ( h2 @ Y1 ) @ Y2 @ ( j2 @ Y2 ) ) |
% 0.59/0.84 ( p @ ( h1 @ Y0 ) @ Y1 @ ( j1 @ Y2 ) ) | ( p @ h0 @ Y0 @ ( j0 @ Y2 ) ) ))).
% 0.59/0.84 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.84 (( p @ ( h2 @ Y1 ) @ Y2 @ ( j2 @ Y2 ) ) |
% 0.59/0.84 ( p @ ( h1 @ Y0 ) @ Y1 @ ( j1 @ Y2 ) ) | ( p @ h0 @ Y0 @ ( j0 @ Y2 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [clause2])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ (h2 @ X0) @ X1 @ (j2 @ X1))
% 0.59/0.84 | (p @ (h1 @ X2) @ X0 @ (j1 @ X1))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ X1)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ (h2 @ X0) @ X1 @ (j2 @ X1))
% 0.59/0.84 | (p @ (h1 @ X2) @ X0 @ (j1 @ X1))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ X1)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.84 thf(clause1, conjecture,
% 0.59/0.84 (~( ( ~( p @ X0 @ ( f1 @ X1 ) @ X2 ) ) | ( ~( p @ X0 @ ( f0 @ X0 ) @ X1 ) ) ))).
% 0.59/0.84 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.84 (( ~( p @ X0 @ ( f1 @ X1 ) @ X2 ) ) | ( ~( p @ X0 @ ( f0 @ X0 ) @ X1 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [clause1])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl2, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X2 @ (j0 @ (f1 @ X0)))
% 0.59/0.84 | (p @ (h1 @ X2) @ X1 @ (j1 @ (f1 @ X0)))
% 0.59/0.84 | ~ (p @ (h2 @ X1) @ (f0 @ (h2 @ X1)) @ X0))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl4, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X2 @ (j0 @ (f0 @ (h2 @ X0))))
% 0.59/0.84 | (p @ (h1 @ X2) @ X0 @ (j1 @ (f0 @ (h2 @ X0))))
% 0.59/0.84 | (p @ (h1 @ X1) @ X0 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ X0)))))))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ (h2 @ X0) @ X1 @ (j2 @ X1))
% 0.59/0.84 | (p @ (h1 @ X2) @ X0 @ (j1 @ X1))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ X1)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl3, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X2 @ (j0 @ X0))
% 0.59/0.84 | (p @ (h2 @ (f1 @ X1)) @ X0 @ (j2 @ X0))
% 0.59/0.84 | ~ (p @ (h1 @ X2) @ (f0 @ (h1 @ X2)) @ X1))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl8, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ (h1 @ X2) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))) @
% 0.59/0.84 X1 @ (j2 @ X1))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ X1)))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.84 thf(zip_derived_cl8, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ (h1 @ X2) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))) @
% 0.59/0.84 X1 @ (j2 @ X1))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ X1)))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl18, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X1 @ (j0 @ (f1 @ X0)))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))
% 0.59/0.84 | (p @ (h1 @ X2) @ (f0 @ (h1 @ X1)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))))
% 0.59/0.84 | ~ (p @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))))) @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X1)))))))))) @
% 0.59/0.84 X0))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl21, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ (h1 @ X2) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ (h1 @ X1) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))))))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl18])).
% 0.59/0.84 thf(zip_derived_cl22, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ (h1 @ X1) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ (h1 @ X2) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X2 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl21])).
% 0.59/0.84 thf(zip_derived_cl59, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ (h1 @ X1) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))))))),
% 0.59/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 0.59/0.84 thf(zip_derived_cl61, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ (h1 @ X1) @ (f0 @ (h1 @ X0)) @
% 0.59/0.84 (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 0.59/0.84 thf(zip_derived_cl3, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ( (p @ h0 @ X2 @ (j0 @ X0))
% 0.59/0.84 | (p @ (h2 @ (f1 @ X1)) @ X0 @ (j2 @ X0))
% 0.59/0.84 | ~ (p @ (h1 @ X2) @ (f0 @ (h1 @ X2)) @ X1))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))) @ X1 @
% 0.59/0.84 (j2 @ X1))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ X1)))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))) @ X1 @
% 0.59/0.84 (j2 @ X1))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ X1)))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl74, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ( (p @ h0 @ X1 @ (j0 @ (f1 @ X0)))
% 0.59/0.84 | (p @ h0 @ X1 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))))))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))))
% 0.59/0.84 | (p @ h0 @ X1 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))
% 0.59/0.84 | (p @ h0 @ X1 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))))))))
% 0.59/0.84 | ~ (p @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X1))))))) @
% 0.59/0.84 (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X1)))))))) @ X0))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl83, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @ (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl74])).
% 0.59/0.84 thf(zip_derived_cl85, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @ (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @ (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 0.59/0.84 thf(zip_derived_cl85, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 ( (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @ (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))
% 0.59/0.84 | (p @ h0 @ X0 @ (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ X0))))))))))))))
% 0.59/0.84 | (p @ h0 @ X0 @
% 0.59/0.84 (j0 @ (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ X0)))))))))))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl88, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 ( (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))))
% 0.59/0.84 | ~ (p @ h0 @ (f0 @ h0) @ X0))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl89, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 (~ (p @ h0 @ (f0 @ h0) @ X0)
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0))))))))))),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl88, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl90, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 ( (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))))
% 0.59/0.84 | ~ (p @ h0 @ (f0 @ h0) @ X0))),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl91, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 (~ (p @ h0 @ (f0 @ h0) @ X0)
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))))))))
% 0.59/0.84 | (p @ h0 @ (f1 @ X0) @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0))))))))),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl92, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 ( (p @ h0 @ (f1 @ X0) @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ (f1 @ X0)))))))
% 0.59/0.84 | ~ (p @ h0 @ (f0 @ h0) @ X0))),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (~ (p @ X0 @ (f1 @ X1) @ X2) | ~ (p @ X0 @ (f0 @ X0) @ X1))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl93, plain, (![X0 : $i]: ~ (p @ h0 @ (f0 @ h0) @ X0)),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl95, plain,
% 0.59/0.84 (( (p @ h0 @ (f0 @ h0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ (f0 @ h0)))))))))))
% 0.59/0.84 | (p @ h0 @ (f0 @ h0) @
% 0.59/0.84 (j0 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f0 @ h0)))))))))
% 0.59/0.84 | (p @ h0 @ (f0 @ h0) @ (j0 @ (f0 @ (h2 @ (f0 @ (h1 @ (f0 @ h0)))))))
% 0.59/0.84 | (p @ h0 @ (f0 @ h0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f0 @
% 0.59/0.84 (h2 @
% 0.59/0.84 (f1 @ (j1 @ (f1 @ (j2 @ (f0 @ (h2 @ (f0 @ (h1 @ (f0 @ h0)))))))))))))
% 0.59/0.84 | (p @ h0 @ (f0 @ h0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ (f0 @ h0))))))))))))))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl93])).
% 0.59/0.84 thf(zip_derived_cl93, plain, (![X0 : $i]: ~ (p @ h0 @ (f0 @ h0) @ X0)),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl93, plain, (![X0 : $i]: ~ (p @ h0 @ (f0 @ h0) @ X0)),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl93, plain, (![X0 : $i]: ~ (p @ h0 @ (f0 @ h0) @ X0)),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl93, plain, (![X0 : $i]: ~ (p @ h0 @ (f0 @ h0) @ X0)),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl96, plain,
% 0.59/0.84 ( (p @ h0 @ (f0 @ h0) @
% 0.59/0.84 (j0 @
% 0.59/0.84 (f1 @
% 0.59/0.84 (j2 @
% 0.59/0.84 (f0 @ (h2 @ (f1 @ (j1 @ (f0 @ (h2 @ (f0 @ (h1 @ (f0 @ h0)))))))))))))),
% 0.59/0.84 inference('demod', [status(thm)],
% 0.59/0.84 [zip_derived_cl95, zip_derived_cl93, zip_derived_cl93,
% 0.59/0.84 zip_derived_cl93, zip_derived_cl93])).
% 0.59/0.84 thf(zip_derived_cl93, plain, (![X0 : $i]: ~ (p @ h0 @ (f0 @ h0) @ X0)),
% 0.59/0.84 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl98, plain, ($false),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.59/0.84
% 0.59/0.84 % SZS output end Refutation
% 0.59/0.84
% 0.59/0.84
% 0.59/0.84 % Terminating...
% 1.54/0.87 % Runner terminated.
% 1.54/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------