%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3xmvd9zEIH true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:31 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.84s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3xmvd9zEIH true
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 09:03:31 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Running portfolio for 300 s
% 0.08/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Number of cores: 8
% 0.08/0.37 % Python version: Python 3.12.3
% 0.08/0.37 % Running in FO mode
% 0.37/0.58 % Total configuration time : 435
% 0.37/0.58 % Estimated wc time : 1092
% 0.37/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.39/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.39/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.39/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.39/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.39/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.39/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.39/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.84 % Solved by fo/fo6_bce.sh.
% 0.41/0.84 % BCE start: 6
% 0.41/0.84 % BCE eliminated: 0
% 0.41/0.84 % PE start: 6
% 0.41/0.84 logic: neq
% 0.41/0.84 % PE eliminated: 0
% 0.41/0.84 % done 115 iterations in 0.158s
% 0.41/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.41/0.84 % SZS output start Refutation
% 0.41/0.84 thf(v12_type, type, v12: $i).
% 0.41/0.84 thf(v16_type, type, v16: $i).
% 0.41/0.84 thf(v14_type, type, v14: $i).
% 0.41/0.84 thf(v21_type, type, v21: $i).
% 0.41/0.84 thf(v9_type, type, v9: $i).
% 0.41/0.84 thf(y_type, type, y: $i).
% 0.41/0.84 thf(v20_type, type, v20: $i).
% 0.41/0.84 thf(v13_type, type, v13: $i).
% 0.41/0.84 thf(v8_type, type, v8: $i).
% 0.41/0.84 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.41/0.84 thf(implies_type, type, implies: $i > $i > $i).
% 0.41/0.84 thf(v17_type, type, v17: $i).
% 0.41/0.84 thf(u_type, type, u: $i).
% 0.41/0.84 thf(v15_type, type, v15: $i).
% 0.41/0.84 thf(x_type, type, x: $i).
% 0.41/0.84 thf(v18_type, type, v18: $i).
% 0.41/0.84 thf(v19_type, type, v19: $i).
% 0.41/0.84 thf(v10_type, type, v10: $i).
% 0.41/0.84 thf(w_type, type, w: $i).
% 0.41/0.84 thf(v_type, type, v: $i).
% 0.41/0.84 thf(v7_type, type, v7: $i).
% 0.41/0.84 thf(z_type, type, z: $i).
% 0.41/0.84 thf(v11_type, type, v11: $i).
% 0.41/0.84 thf(v6_type, type, v6: $i).
% 0.41/0.84 thf(v22_type, type, v22: $i).
% 0.41/0.84 thf(i, axiom, (is_a_theorem @ ( implies @ A @ A ))).
% 0.41/0.84 thf(zip_derived_cl3, plain,
% 0.41/0.84 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.84 inference('cnf', [status(esa)], [i])).
% 0.41/0.84 thf(c, axiom,
% 0.41/0.84 (is_a_theorem @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ A @ ( implies @ B @ C ) ) @
% 0.41/0.84 ( implies @ B @ ( implies @ A @ C ) ) ))).
% 0.41/0.84 thf(zip_derived_cl2, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 0.41/0.84 (implies @ X1 @ (implies @ X0 @ X2))))),
% 0.41/0.84 inference('cnf', [status(esa)], [c])).
% 0.41/0.84 thf(condensed_detachment, axiom,
% 0.41/0.84 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.41/0.84 ( is_a_theorem @ Y ))).
% 0.41/0.84 thf(zip_derived_cl0, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.41/0.84 | ~ (is_a_theorem @ X0)
% 0.41/0.84 | (is_a_theorem @ X1))),
% 0.41/0.84 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.41/0.84 thf(zip_derived_cl11, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.41/0.84 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.41/0.84 thf(zip_derived_cl12, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (is_a_theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.41/0.84 thf(zip_derived_cl0, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.41/0.84 | ~ (is_a_theorem @ X0)
% 0.41/0.84 | (is_a_theorem @ X1))),
% 0.41/0.84 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.41/0.84 thf(zip_derived_cl18, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.41/0.84 thf(zip_derived_cl18, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.41/0.84 thf(b, axiom,
% 0.41/0.84 (is_a_theorem @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ A @ B ) @
% 0.41/0.84 ( implies @ ( implies @ C @ A ) @ ( implies @ C @ B ) ) ))).
% 0.41/0.84 thf(zip_derived_cl1, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X0 @ X1) @
% 0.41/0.84 (implies @ (implies @ X2 @ X0) @ (implies @ X2 @ X1))))),
% 0.41/0.84 inference('cnf', [status(esa)], [b])).
% 0.41/0.84 thf(zip_derived_cl0, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.41/0.84 | ~ (is_a_theorem @ X0)
% 0.41/0.84 | (is_a_theorem @ X1))),
% 0.41/0.84 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.41/0.84 thf(zip_derived_cl7, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.41/0.84 thf(zip_derived_cl0, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.41/0.84 | ~ (is_a_theorem @ X0)
% 0.41/0.84 | (is_a_theorem @ X1))),
% 0.41/0.84 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.41/0.84 thf(zip_derived_cl10, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.41/0.84 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.41/0.84 thf(zip_derived_cl24, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X1)
% 0.41/0.84 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.41/0.84 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])).
% 0.41/0.84 thf(zip_derived_cl33, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X2)
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl33, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X2)
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl33, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X2)
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl7, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.41/0.84 thf(zip_derived_cl24, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X1)
% 0.41/0.84 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.41/0.84 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])).
% 0.41/0.84 thf(zip_derived_cl37, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl37, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl11, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.41/0.84 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.41/0.84 thf(zip_derived_cl46, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X3)
% 0.41/0.84 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ X1 @ (implies @ (implies @ X3 @ X2) @ X0))))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl11])).
% 0.41/0.84 thf(zip_derived_cl33, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X2)
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl33, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X2)
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl37, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24])).
% 0.41/0.84 thf(zip_derived_cl46, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ X3)
% 0.41/0.84 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.41/0.84 | (is_a_theorem @
% 0.41/0.84 (implies @ X1 @ (implies @ (implies @ X3 @ X2) @ X0))))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl11])).
% 0.41/0.84 thf(zip_derived_cl37, plain,
% 0.41/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.84 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.41/0.84 | ~ (is_a_theorem @ X1)
% 0.41/0.84 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24])).
% 0.41/0.84 thf(prove_rezus, conjecture,
% 0.41/0.84 (is_a_theorem @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 x @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ y @ y ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ z @ z ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ u @ u ) @
% 0.41/0.84 ( implies @ ( implies @ v @ v ) @ ( implies @ x @ w ) ) ) ) ) @
% 0.41/0.84 w ) ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v6 @ v7 ) @
% 0.41/0.84 ( implies @ ( implies @ v7 @ v8 ) @ ( implies @ v6 @ v8 ) ) ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v9 @ ( implies @ v9 @ v10 ) ) @
% 0.41/0.84 ( implies @ v9 @ v10 ) ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v11 @ v12 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v12 @ v13 ) @ ( implies @ v11 @ v13 ) ) ) @
% 0.41/0.84 v14 ) ) @
% 0.41/0.84 v14 ) @
% 0.41/0.84 v15 ) ) @
% 0.41/0.84 v15 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 v16 @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v17 @ v17 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v18 @ v18 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v19 @ v19 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v20 @ v20 ) @ ( implies @ v16 @ v21 ) ) ) ) ) @
% 0.41/0.84 v21 ) ) @
% 0.41/0.84 v22 ) ) ) @
% 0.41/0.84 v22 ))).
% 0.41/0.84 thf(zf_stmt_0, negated_conjecture,
% 0.41/0.84 (~( is_a_theorem @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 x @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ y @ y ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ z @ z ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ u @ u ) @
% 0.41/0.84 ( implies @ ( implies @ v @ v ) @ ( implies @ x @ w ) ) ) ) ) @
% 0.41/0.84 w ) ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v6 @ v7 ) @
% 0.41/0.84 ( implies @ ( implies @ v7 @ v8 ) @ ( implies @ v6 @ v8 ) ) ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v9 @ ( implies @ v9 @ v10 ) ) @
% 0.41/0.84 ( implies @ v9 @ v10 ) ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v11 @ v12 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v12 @ v13 ) @ ( implies @ v11 @ v13 ) ) ) @
% 0.41/0.84 v14 ) ) @
% 0.41/0.84 v14 ) @
% 0.41/0.84 v15 ) ) @
% 0.41/0.84 v15 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 v16 @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v17 @ v17 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v18 @ v18 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v19 @ v19 ) @
% 0.41/0.84 ( implies @
% 0.41/0.84 ( implies @ v20 @ v20 ) @ ( implies @ v16 @ v21 ) ) ) ) ) @
% 0.41/0.84 v21 ) ) @
% 0.41/0.84 v22 ) ) ) @
% 0.41/0.84 v22 ) )),
% 0.41/0.84 inference('cnf.neg', [status(esa)], [prove_rezus])).
% 0.41/0.84 thf(zip_derived_cl5, plain,
% 0.41/0.84 (~ (is_a_theorem @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ x @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ y @ y) @
% 0.41/0.84 (implies @ (implies @ z @ z) @
% 0.41/0.84 (implies @ (implies @ u @ u) @
% 0.41/0.84 (implies @ (implies @ v @ v) @ (implies @ x @ w))))) @
% 0.41/0.84 w)) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v6 @ v7) @
% 0.41/0.84 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v11 @ v12) @
% 0.41/0.84 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.84 v14)) @
% 0.41/0.84 v14) @
% 0.41/0.84 v15)) @
% 0.41/0.84 v15) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ v16 @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v17 @ v17) @
% 0.41/0.84 (implies @ (implies @ v18 @ v18) @
% 0.41/0.84 (implies @ (implies @ v19 @ v19) @
% 0.41/0.84 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.84 v21)) @
% 0.41/0.84 v22))) @
% 0.41/0.84 v22))),
% 0.41/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.41/0.84 thf(zip_derived_cl48, plain,
% 0.41/0.84 ((~ (is_a_theorem @
% 0.41/0.84 (implies @ x @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ y @ y) @
% 0.41/0.84 (implies @ (implies @ z @ z) @
% 0.41/0.84 (implies @ (implies @ u @ u) @
% 0.41/0.84 (implies @ (implies @ v @ v) @ (implies @ x @ w))))) @
% 0.41/0.84 w)))
% 0.41/0.84 | ~ (is_a_theorem @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v6 @ v7) @
% 0.41/0.84 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v11 @ v12) @
% 0.41/0.84 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.84 v14)) @
% 0.41/0.84 v14) @
% 0.41/0.84 v15)) @
% 0.41/0.84 v15) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ v16 @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v17 @ v17) @
% 0.41/0.84 (implies @ (implies @ v18 @ v18) @
% 0.41/0.84 (implies @ (implies @ v19 @ v19) @
% 0.41/0.84 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.84 v21)) @
% 0.41/0.84 v22)) @
% 0.41/0.84 v22)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl5])).
% 0.41/0.84 thf(zip_derived_cl511, plain,
% 0.41/0.84 ((~ (is_a_theorem @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ z @ z) @
% 0.41/0.84 (implies @ (implies @ u @ u) @
% 0.41/0.84 (implies @ (implies @ v @ v) @ (implies @ x @ w)))) @
% 0.41/0.84 (implies @ x @ w)))
% 0.41/0.84 | ~ (is_a_theorem @ (implies @ y @ y))
% 0.41/0.84 | ~ (is_a_theorem @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v6 @ v7) @
% 0.41/0.84 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v11 @ v12) @
% 0.41/0.84 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.84 v14)) @
% 0.41/0.84 v14) @
% 0.41/0.84 v15)) @
% 0.41/0.84 v15) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ v16 @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v17 @ v17) @
% 0.41/0.84 (implies @ (implies @ v18 @ v18) @
% 0.41/0.84 (implies @ (implies @ v19 @ v19) @
% 0.41/0.84 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.84 v21)) @
% 0.41/0.84 v22)) @
% 0.41/0.84 v22)))),
% 0.41/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl48])).
% 0.41/0.84 thf(zip_derived_cl3, plain,
% 0.41/0.84 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.84 inference('cnf', [status(esa)], [i])).
% 0.41/0.84 thf(zip_derived_cl513, plain,
% 0.41/0.84 ((~ (is_a_theorem @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ z @ z) @
% 0.41/0.84 (implies @ (implies @ u @ u) @
% 0.41/0.84 (implies @ (implies @ v @ v) @ (implies @ x @ w)))) @
% 0.41/0.84 (implies @ x @ w)))
% 0.41/0.84 | ~ (is_a_theorem @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v6 @ v7) @
% 0.41/0.84 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @ v9 @ v10)) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v11 @ v12) @
% 0.41/0.84 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.84 v14)) @
% 0.41/0.84 v14) @
% 0.41/0.84 v15)) @
% 0.41/0.84 v15) @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ v16 @
% 0.41/0.84 (implies @
% 0.41/0.84 (implies @ (implies @ v17 @ v17) @
% 0.41/0.84 (implies @ (implies @ v18 @ v18) @
% 0.41/0.84 (implies @ (implies @ v19 @ v19) @
% 0.41/0.84 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.85 v21)) @
% 0.41/0.85 v22)) @
% 0.41/0.85 v22)))),
% 0.41/0.85 inference('demod', [status(thm)], [zip_derived_cl511, zip_derived_cl3])).
% 0.41/0.85 thf(zip_derived_cl514, plain,
% 0.41/0.85 ((~ (is_a_theorem @ (implies @ z @ z))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ u @ u) @
% 0.41/0.85 (implies @ (implies @ v @ v) @ (implies @ x @ w))) @
% 0.41/0.85 (implies @ x @ w)))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ v16 @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v17 @ v17) @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.85 v21)) @
% 0.41/0.85 v22)) @
% 0.41/0.85 v22)))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl513])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl515, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ u @ u) @
% 0.41/0.85 (implies @ (implies @ v @ v) @ (implies @ x @ w))) @
% 0.41/0.85 (implies @ x @ w)))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ v16 @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v17 @ v17) @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.85 v21)) @
% 0.41/0.85 v22)) @
% 0.41/0.85 v22)))),
% 0.41/0.85 inference('demod', [status(thm)], [zip_derived_cl514, zip_derived_cl3])).
% 0.41/0.85 thf(zip_derived_cl516, plain,
% 0.41/0.85 ((~ (is_a_theorem @ (implies @ v @ v))
% 0.41/0.85 | ~ (is_a_theorem @ (implies @ u @ u))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ v16 @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v17 @ v17) @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.85 v21)) @
% 0.41/0.85 v22)) @
% 0.41/0.85 v22)))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl515])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl518, plain,
% 0.41/0.85 (~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ v16 @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v17 @ v17) @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.85 v21)) @
% 0.41/0.85 v22)) @
% 0.41/0.85 v22))),
% 0.41/0.85 inference('demod', [status(thm)],
% 0.41/0.85 [zip_derived_cl516, zip_derived_cl3, zip_derived_cl3])).
% 0.41/0.85 thf(zip_derived_cl520, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @ v16 @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v17 @ v17) @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))))) @
% 0.41/0.85 v21)))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15)))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl518])).
% 0.41/0.85 thf(zip_derived_cl522, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21)))) @
% 0.41/0.85 (implies @ v16 @ v21)))
% 0.41/0.85 | ~ (is_a_theorem @ (implies @ v17 @ v17))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15)))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl520])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl523, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v18 @ v18) @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21)))) @
% 0.41/0.85 (implies @ v16 @ v21)))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15)))),
% 0.41/0.85 inference('demod', [status(thm)], [zip_derived_cl522, zip_derived_cl3])).
% 0.41/0.85 thf(zip_derived_cl527, plain,
% 0.41/0.85 ((~ (is_a_theorem @ (implies @ v18 @ v18))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))) @
% 0.41/0.85 (implies @ v16 @ v21)))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15)))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl523])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl528, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v19 @ v19) @
% 0.41/0.85 (implies @ (implies @ v20 @ v20) @ (implies @ v16 @ v21))) @
% 0.41/0.85 (implies @ v16 @ v21)))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15)))),
% 0.41/0.85 inference('demod', [status(thm)], [zip_derived_cl527, zip_derived_cl3])).
% 0.41/0.85 thf(zip_derived_cl529, plain,
% 0.41/0.85 ((~ (is_a_theorem @ (implies @ v20 @ v20))
% 0.41/0.85 | ~ (is_a_theorem @ (implies @ v19 @ v19))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15)))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl528])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl3, plain,
% 0.41/0.85 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.41/0.85 inference('cnf', [status(esa)], [i])).
% 0.41/0.85 thf(zip_derived_cl531, plain,
% 0.41/0.85 (~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8))) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14) @
% 0.41/0.85 v15)) @
% 0.41/0.85 v15))),
% 0.41/0.85 inference('demod', [status(thm)],
% 0.41/0.85 [zip_derived_cl529, zip_derived_cl3, zip_derived_cl3])).
% 0.41/0.85 thf(zip_derived_cl533, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ v6 @ v7) @
% 0.41/0.85 (implies @ (implies @ v7 @ v8) @ (implies @ v6 @ v8)))))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl531])).
% 0.41/0.85 thf(zip_derived_cl1, plain,
% 0.41/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.85 (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ X0 @ X1) @
% 0.41/0.85 (implies @ (implies @ X2 @ X0) @ (implies @ X2 @ X1))))),
% 0.41/0.85 inference('cnf', [status(esa)], [b])).
% 0.41/0.85 thf(zip_derived_cl11, plain,
% 0.41/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.85 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.41/0.85 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.41/0.85 thf(zip_derived_cl13, plain,
% 0.41/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.85 (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ X1 @ X2) @
% 0.41/0.85 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.41/0.85 thf(zip_derived_cl535, plain,
% 0.41/0.85 (~ (is_a_theorem @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))) @
% 0.41/0.85 v14)) @
% 0.41/0.85 v14))),
% 0.41/0.85 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl13])).
% 0.41/0.85 thf(zip_derived_cl537, plain,
% 0.41/0.85 ((~ (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ v11 @ v12) @
% 0.41/0.85 (implies @ (implies @ v12 @ v13) @ (implies @ v11 @ v13))))
% 0.41/0.85 | ~ (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ v9 @ (implies @ v9 @ v10)) @
% 0.41/0.85 (implies @ v9 @ v10))))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl535])).
% 0.41/0.85 thf(zip_derived_cl13, plain,
% 0.41/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.85 (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ X1 @ X2) @
% 0.41/0.85 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.41/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.41/0.85 thf(w, axiom,
% 0.41/0.85 (is_a_theorem @
% 0.41/0.85 ( implies @ ( implies @ U @ ( implies @ U @ V ) ) @ ( implies @ U @ V ) ))).
% 0.41/0.85 thf(zip_derived_cl4, plain,
% 0.41/0.85 (![X0 : $i, X1 : $i]:
% 0.41/0.85 (is_a_theorem @
% 0.41/0.85 (implies @ (implies @ X0 @ (implies @ X0 @ X1)) @
% 0.41/0.85 (implies @ X0 @ X1)))),
% 0.41/0.85 inference('cnf', [status(esa)], [w])).
% 0.41/0.85 thf(zip_derived_cl539, plain, ($false),
% 0.41/0.85 inference('demod', [status(thm)],
% 0.41/0.85 [zip_derived_cl537, zip_derived_cl13, zip_derived_cl4])).
% 0.41/0.85
% 0.41/0.85 % SZS output end Refutation
% 0.41/0.85
% 0.41/0.85
% 0.41/0.85 % Terminating...
% 0.41/0.89 % Runner terminated.
% 1.56/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------