%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL123-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PUsUzlNDLh true
% Computer : n019.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 04:30:29 PM UTC 2025
% Result : Unsatisfiable 2.81s 1.09s
% Output : Refutation 2.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : COL123-1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.20 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PUsUzlNDLh true
% 0.14/0.43 % Computer : n019.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8042.1875MB
% 0.14/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Wed Oct 1 11:02:53 EDT 2025
% 0.14/0.43 % CPUTime :
% 0.14/0.43 % Running portfolio for 300 s
% 0.14/0.43 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Number of cores: 8
% 0.14/0.44 % Python version: Python 3.6.8
% 0.14/0.44 % Running in FO mode
% 0.36/0.75 % Total configuration time : 435
% 0.36/0.75 % Estimated wc time : 1092
% 0.36/0.75 % Estimated cpu time (7 cpus) : 156.0
% 0.38/0.82 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.38/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.38/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.38/0.87 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.38/0.87 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.38/0.87 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.38/0.88 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.81/1.09 % Solved by fo/fo3_bce.sh.
% 2.81/1.09 % BCE start: 37
% 2.81/1.09 % BCE eliminated: 0
% 2.81/1.09 % PE start: 37
% 2.81/1.09 logic: eq
% 2.81/1.09 % PE eliminated: 0
% 2.81/1.09 % done 173 iterations in 0.240s
% 2.81/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.81/1.09 % SZS output start Refutation
% 2.81/1.09 thf(v_x_type, type, v_x: $i).
% 2.81/1.09 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 2.81/1.09 thf(v_xaa_type, type, v_xaa: $i > $i).
% 2.81/1.09 thf(v_xb_type, type, v_xb: $i).
% 2.81/1.09 thf(c_Transitive__Closure_Ortrancl_type, type, c_Transitive__Closure_Ortrancl:
% 2.81/1.09 $i > $i > $i).
% 2.81/1.09 thf(v_z_type, type, v_z: $i).
% 2.81/1.09 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 2.81/1.09 thf(v_r_type, type, v_r: $i).
% 2.81/1.09 thf(t_a_type, type, t_a: $i).
% 2.81/1.09 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 2.81/1.09 thf(v_xa_type, type, v_xa: $i > $i > $i > $i).
% 2.81/1.09 thf(v_y_type, type, v_y: $i).
% 2.81/1.09 thf(cls_conjecture_4, conjecture,
% 2.81/1.09 (~( ( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ v_y @ ( v_xaa @ V_U ) @ t_a @ t_a ) @ v_r @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) ) ))).
% 2.81/1.09 thf(zf_stmt_0, negated_conjecture,
% 2.81/1.09 (( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ v_y @ ( v_xaa @ V_U ) @ t_a @ t_a ) @ v_r @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 2.81/1.09 thf(zip_derived_cl32, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_x @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @ (c_Pair @ v_y @ (v_xaa @ X0) @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.81/1.09 thf(zip_derived_cl32, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_x @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @ (c_Pair @ v_y @ (v_xaa @ X0) @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.81/1.09 thf(cls_conjecture_1, conjecture,
% 2.81/1.09 (~( c_in @
% 2.81/1.09 ( c_Pair @ v_y @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 2.81/1.09 thf(zf_stmt_1, negated_conjecture,
% 2.81/1.09 (c_in @ ( c_Pair @ v_y @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 2.81/1.09 thf(zip_derived_cl35, plain,
% 2.81/1.09 ( (c_in @ (c_Pair @ v_y @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.81/1.09 thf(cls_conjecture_7, conjecture,
% 2.81/1.09 (~( ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_W @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) ) ))).
% 2.81/1.09 thf(zf_stmt_2, negated_conjecture,
% 2.81/1.09 (( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_W @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 2.81/1.09 thf(zip_derived_cl29, plain,
% 2.81/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ X0 @ X1 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ X0 @ X2 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @ (c_Pair @ X2 @ (v_xa @ X0 @ X1 @ X2) @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.81/1.09 thf(zip_derived_cl174, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 ( (c_in @ (c_Pair @ X0 @ (v_xa @ v_y @ v_z @ X0) @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl29])).
% 2.81/1.09 thf(zip_derived_cl186, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_x @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @
% 2.81/1.09 (c_Pair @ (v_xaa @ X0) @ (v_xa @ v_y @ v_z @ (v_xaa @ X0)) @
% 2.81/1.09 t_a @ t_a) @
% 2.81/1.09 v_r @ (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl174])).
% 2.81/1.09 thf(cls_conjecture_2, conjecture,
% 2.81/1.09 (~( c_in @
% 2.81/1.09 ( c_Pair @ v_x @ v_xb @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 2.81/1.09 thf(zf_stmt_3, negated_conjecture,
% 2.81/1.09 (c_in @ ( c_Pair @ v_x @ v_xb @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 2.81/1.09 thf(zip_derived_cl34, plain,
% 2.81/1.09 ( (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.81/1.09 thf(cls_conjecture_3, conjecture,
% 2.81/1.09 (~( ( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ ( v_xaa @ V_U ) @ t_a @ t_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) ) ))).
% 2.81/1.09 thf(zf_stmt_4, negated_conjecture,
% 2.81/1.09 (( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ ( v_xaa @ V_U ) @ t_a @ t_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a ) )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 2.81/1.09 thf(zip_derived_cl33, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_x @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @ (c_Pair @ X0 @ (v_xaa @ X0) @ t_a @ t_a) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.81/1.09 thf(zip_derived_cl163, plain,
% 2.81/1.09 ( (c_in @ (c_Pair @ v_xb @ (v_xaa @ v_xb) @ t_a @ t_a) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl33])).
% 2.81/1.09 thf(cls_Transitive__Closure_Or__into__rtrancl_0, axiom,
% 2.81/1.09 (( ~( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.81/1.09 ( tc_prod @ T_a @ T_a ) ))).
% 2.81/1.09 thf(zip_derived_cl24, plain,
% 2.81/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.81/1.09 (~ (c_in @ X0 @ X1 @ (tc_prod @ X2 @ X2))
% 2.81/1.09 | (c_in @ X0 @ (c_Transitive__Closure_Ortrancl @ X1 @ X2) @
% 2.81/1.09 (tc_prod @ X2 @ X2)))),
% 2.81/1.09 inference('cnf', [status(esa)],
% 2.81/1.09 [cls_Transitive__Closure_Or__into__rtrancl_0])).
% 2.81/1.09 thf(cls_Transitive__Closure_Ortrancl__trans_0, axiom,
% 2.81/1.09 (( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.81/1.09 ( tc_prod @ T_a @ T_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.81/1.09 ( tc_prod @ T_a @ T_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ))).
% 2.81/1.09 thf(zip_derived_cl28, plain,
% 2.81/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ X4 @ X0 @ X2 @ X2) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 2.81/1.09 | (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2)))),
% 2.81/1.09 inference('cnf', [status(esa)],
% 2.81/1.09 [cls_Transitive__Closure_Ortrancl__trans_0])).
% 2.81/1.09 thf(zip_derived_cl210, plain,
% 2.81/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ X3 @ X2 @ X0 @ X0) @ X1 @ (tc_prod @ X0 @ X0))
% 2.81/1.09 | (c_in @ (c_Pair @ X4 @ X2 @ X0 @ X0) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ X1 @ X0) @ (tc_prod @ X0 @ X0))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ X4 @ X3 @ X0 @ X0) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ X1 @ X0) @ (tc_prod @ X0 @ X0)))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl28])).
% 2.81/1.09 thf(zip_derived_cl432, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 ( (c_in @ (c_Pair @ v_xb @ X0 @ t_a @ t_a) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ (v_xaa @ v_xb) @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl210])).
% 2.81/1.09 thf(zip_derived_cl452, plain,
% 2.81/1.09 ((~ (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @
% 2.81/1.09 (c_Pair @ v_xb @ (v_xa @ v_y @ v_z @ (v_xaa @ v_xb)) @ t_a @ t_a) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl432])).
% 2.81/1.09 thf(zip_derived_cl34, plain,
% 2.81/1.09 ( (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.81/1.09 thf(zip_derived_cl455, plain,
% 2.81/1.09 ( (c_in @
% 2.81/1.09 (c_Pair @ v_xb @ (v_xa @ v_y @ v_z @ (v_xaa @ v_xb)) @ t_a @ t_a) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('demod', [status(thm)], [zip_derived_cl452, zip_derived_cl34])).
% 2.81/1.09 thf(cls_conjecture_5, conjecture,
% 2.81/1.09 (~( ( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_xb @ V_U @ t_a @ t_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) ))).
% 2.81/1.09 thf(zf_stmt_5, negated_conjecture,
% 2.81/1.09 (( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_xb @ V_U @ t_a @ t_a ) @
% 2.81/1.09 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 2.81/1.09 thf(zip_derived_cl31, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_xb @ X0 @ t_a @ t_a) @
% 2.81/1.09 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ v_z @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.81/1.09 thf(zip_derived_cl475, plain,
% 2.81/1.09 (~ (c_in @
% 2.81/1.09 (c_Pair @ v_z @ (v_xa @ v_y @ v_z @ (v_xaa @ v_xb)) @ t_a @ t_a) @
% 2.81/1.09 v_r @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl31])).
% 2.81/1.09 thf(zip_derived_cl35, plain,
% 2.81/1.09 ( (c_in @ (c_Pair @ v_y @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.81/1.09 thf(cls_conjecture_6, conjecture,
% 2.81/1.09 (~( ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_V @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) ) ))).
% 2.81/1.09 thf(zf_stmt_6, negated_conjecture,
% 2.81/1.09 (( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( ~( c_in @
% 2.81/1.09 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 2.81/1.09 ( c_in @
% 2.81/1.09 ( c_Pair @ V_V @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 2.81/1.09 ( tc_prod @ t_a @ t_a ) )),
% 2.81/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 2.81/1.09 thf(zip_derived_cl30, plain,
% 2.81/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.81/1.09 (~ (c_in @ (c_Pair @ X0 @ X1 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ X0 @ X2 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))
% 2.81/1.09 | (c_in @ (c_Pair @ X1 @ (v_xa @ X0 @ X1 @ X2) @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.81/1.09 thf(zip_derived_cl232, plain,
% 2.81/1.09 (![X0 : $i]:
% 2.81/1.09 ( (c_in @ (c_Pair @ v_z @ (v_xa @ v_y @ v_z @ X0) @ t_a @ t_a) @
% 2.81/1.09 v_r @ (tc_prod @ t_a @ t_a))
% 2.81/1.09 | ~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a)))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl30])).
% 2.81/1.09 thf(zip_derived_cl479, plain,
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_y @ (v_xaa @ v_xb) @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('sup+', [status(thm)], [zip_derived_cl475, zip_derived_cl232])).
% 2.81/1.09 thf(zip_derived_cl482, plain,
% 2.81/1.09 (~ (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @
% 2.81/1.09 (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl479])).
% 2.81/1.09 thf(zip_derived_cl34, plain,
% 2.81/1.09 ( (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.81/1.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.81/1.09 thf(zip_derived_cl483, plain, ($false),
% 2.81/1.09 inference('demod', [status(thm)], [zip_derived_cl482, zip_derived_cl34])).
% 2.81/1.09
% 2.81/1.09 % SZS output end Refutation
% 2.81/1.09
% 2.81/1.09
% 2.81/1.09 % Terminating...
% 2.81/1.16 % Runner terminated.
% 2.81/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------