%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL121-2 : 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.H10WLP57iY true
% Computer : n028.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 0.61s 0.97s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL121-2 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H10WLP57iY true
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 10:54:08 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.97 % Solved by fo/fo13.sh.
% 0.61/0.97 % done 140 iterations in 0.161s
% 0.61/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.97 % SZS output start Refutation
% 0.61/0.97 thf(v_z_type, type, v_z: $i).
% 0.61/0.97 thf(c_Transitive__Closure_Ortrancl_type, type, c_Transitive__Closure_Ortrancl:
% 0.61/0.97 $i > $i > $i).
% 0.61/0.97 thf(v_ya_type, type, v_ya: $i).
% 0.61/0.97 thf(v_x_type, type, v_x: $i > $i).
% 0.61/0.97 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.61/0.97 thf(v_r_type, type, v_r: $i).
% 0.61/0.97 thf(t_a_type, type, t_a: $i).
% 0.61/0.97 thf(c_Comb_Odiamond_type, type, c_Comb_Odiamond: $i > $i > $o).
% 0.61/0.97 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.61/0.97 thf(c_Comb_Odiamond__strip__lemmaE__1_type, type, c_Comb_Odiamond__strip__lemmaE__1:
% 0.61/0.97 $i > $i > $i > $i > $i).
% 0.61/0.97 thf(v_xaa_type, type, v_xaa: $i).
% 0.61/0.97 thf(v_y_type, type, v_y: $i).
% 0.61/0.97 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.61/0.97 thf(cls_conjecture_2, conjecture,
% 0.61/0.97 (~( c_in @
% 0.61/0.97 ( c_Pair @ v_ya @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 0.61/0.97 thf(zf_stmt_0, negated_conjecture,
% 0.61/0.97 (c_in @ ( c_Pair @ v_ya @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a )),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.61/0.97 thf(zip_derived_cl5, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_ya @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.97 thf(cls_conjecture_3, conjecture,
% 0.61/0.97 (~( c_in @
% 0.61/0.97 ( c_Pair @ v_y @ v_xaa @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ))).
% 0.61/0.97 thf(zf_stmt_1, negated_conjecture,
% 0.61/0.97 (c_in @
% 0.61/0.97 ( c_Pair @ v_y @ v_xaa @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a )),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.61/0.97 thf(zip_derived_cl6, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_y @ v_xaa @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.97 thf(cls_conjecture_5, conjecture,
% 0.61/0.97 (~( ( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @ V_U @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ))).
% 0.61/0.97 thf(zf_stmt_2, negated_conjecture,
% 0.61/0.97 (( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @ V_U @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a ) )),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.61/0.97 thf(zip_derived_cl8, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | (c_in @ (c_Pair @ X0 @ (v_x @ X0) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.61/0.97 thf(zip_derived_cl64, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_xaa @ (v_x @ v_xaa) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 0.61/0.97 thf(zip_derived_cl6, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_y @ v_xaa @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.97 thf(cls_conjecture_4, conjecture,
% 0.61/0.97 (~( ( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @ v_ya @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ))).
% 0.61/0.97 thf(zf_stmt_3, negated_conjecture,
% 0.61/0.97 (( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @ v_ya @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a ) )),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.61/0.97 thf(zip_derived_cl7, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | (c_in @ (c_Pair @ v_ya @ (v_x @ X0) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.61/0.97 thf(zip_derived_cl10, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_ya @ (v_x @ v_xaa) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 0.61/0.97 thf(zip_derived_cl5, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_ya @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.97 thf(cls_Comb_Odiamond__strip__lemmaE_0, axiom,
% 0.61/0.97 (( ~( c_Comb_Odiamond @ V_r @ T_a ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ V_x @ V_y_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 0.61/0.97 ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @
% 0.61/0.97 V_y_H @
% 0.61/0.97 ( c_Comb_Odiamond__strip__lemmaE__1 @ V_r @ V_y @ V_y_H @ T_a ) @
% 0.61/0.97 T_a @ T_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ))).
% 0.61/0.97 thf(zip_derived_cl0, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.61/0.97 (~ (c_Comb_Odiamond @ X0 @ X1)
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X2 @ X3 @ X1 @ X1) @ X0 @ (tc_prod @ X1 @ X1))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X2 @ X4 @ X1 @ X1) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ X0 @ X1) @ (tc_prod @ X1 @ X1))
% 0.61/0.97 | (c_in @
% 0.61/0.97 (c_Pair @ X3 @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ X0 @ X4 @ X3 @ X1) @ X1 @
% 0.61/0.97 X1) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ X0 @ X1) @ (tc_prod @ X1 @ X1)))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_Comb_Odiamond__strip__lemmaE_0])).
% 0.61/0.97 thf(zip_derived_cl13, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_Comb_Odiamond @ v_r @ t_a)
% 0.61/0.97 | ~ (c_in @ (c_Pair @ v_ya @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | (c_in @
% 0.61/0.97 (c_Pair @ v_z @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ X0 @ v_z @ t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.61/0.97 thf(cls_conjecture_0, conjecture, (~( c_Comb_Odiamond @ v_r @ t_a ))).
% 0.61/0.97 thf(zf_stmt_4, negated_conjecture, (c_Comb_Odiamond @ v_r @ t_a),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.61/0.97 thf(zip_derived_cl4, plain, ( (c_Comb_Odiamond @ v_r @ t_a)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.61/0.97 thf(zip_derived_cl14, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_in @ (c_Pair @ v_ya @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | (c_in @
% 0.61/0.97 (c_Pair @ v_z @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ X0 @ v_z @ t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 0.61/0.97 thf(zip_derived_cl153, plain,
% 0.61/0.97 ( (c_in @
% 0.61/0.97 (c_Pair @ v_z @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl14])).
% 0.61/0.97 thf(cls_conjecture_6, conjecture,
% 0.61/0.97 (~( ( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_xaa @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) ))).
% 0.61/0.97 thf(zf_stmt_5, negated_conjecture,
% 0.61/0.97 (( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ v_xaa @ V_U @ t_a @ t_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 0.61/0.97 ( tc_prod @ t_a @ t_a ) ) )),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 0.61/0.97 thf(zip_derived_cl9, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_in @ (c_Pair @ v_z @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ v_xaa @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.61/0.97 thf(zip_derived_cl194, plain,
% 0.61/0.97 (~ (c_in @
% 0.61/0.97 (c_Pair @ v_xaa @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl9])).
% 0.61/0.97 thf(cls_Transitive__Closure_Ortrancl__trans_0, axiom,
% 0.61/0.97 (( ~( c_in @
% 0.61/0.97 ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 0.61/0.97 ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 0.61/0.97 ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ))).
% 0.61/0.97 thf(zip_derived_cl3, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.61/0.97 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X4 @ X0 @ X2 @ X2) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 0.61/0.97 | (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2)))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [cls_Transitive__Closure_Ortrancl__trans_0])).
% 0.61/0.97 thf(zip_derived_cl197, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_in @
% 0.61/0.97 (c_Pair @ X0 @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @
% 0.61/0.97 t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ v_xaa @ X0 @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl3])).
% 0.61/0.97 thf(zip_derived_cl336, plain,
% 0.61/0.97 (~ (c_in @
% 0.61/0.97 (c_Pair @ (v_x @ v_xaa) @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl197])).
% 0.61/0.97 thf(cls_Transitive__Closure_Or__into__rtrancl_0, axiom,
% 0.61/0.97 (( ~( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 0.61/0.97 ( tc_prod @ T_a @ T_a ) ))).
% 0.61/0.97 thf(zip_derived_cl2, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.97 (~ (c_in @ X0 @ X1 @ (tc_prod @ X2 @ X2))
% 0.61/0.97 | (c_in @ X0 @ (c_Transitive__Closure_Ortrancl @ X1 @ X2) @
% 0.61/0.97 (tc_prod @ X2 @ X2)))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [cls_Transitive__Closure_Or__into__rtrancl_0])).
% 0.61/0.97 thf(zip_derived_cl338, plain,
% 0.61/0.97 (~ (c_in @
% 0.61/0.97 (c_Pair @ (v_x @ v_xaa) @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 0.61/0.97 t_a @ t_a) @
% 0.61/0.97 v_r @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl336, zip_derived_cl2])).
% 0.61/0.97 thf(cls_Comb_Odiamond__strip__lemmaE_1, axiom,
% 0.61/0.97 (( ~( c_Comb_Odiamond @ V_r @ T_a ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ V_x @ V_y_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( ~( c_in @
% 0.61/0.97 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @
% 0.61/0.97 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 0.61/0.97 ( tc_prod @ T_a @ T_a ) ) ) |
% 0.61/0.97 ( c_in @
% 0.61/0.97 ( c_Pair @
% 0.61/0.97 V_y @
% 0.61/0.97 ( c_Comb_Odiamond__strip__lemmaE__1 @ V_r @ V_y @ V_y_H @ T_a ) @
% 0.61/0.97 T_a @ T_a ) @
% 0.61/0.97 V_r @ ( tc_prod @ T_a @ T_a ) ))).
% 0.61/0.97 thf(zip_derived_cl1, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.61/0.97 (~ (c_Comb_Odiamond @ X0 @ X1)
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X2 @ X3 @ X1 @ X1) @ X0 @ (tc_prod @ X1 @ X1))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X2 @ X4 @ X1 @ X1) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ X0 @ X1) @ (tc_prod @ X1 @ X1))
% 0.61/0.97 | (c_in @
% 0.61/0.97 (c_Pair @ X4 @
% 0.61/0.97 (c_Comb_Odiamond__strip__lemmaE__1 @ X0 @ X4 @ X3 @ X1) @ X1 @
% 0.61/0.97 X1) @
% 0.61/0.97 X0 @ (tc_prod @ X1 @ X1)))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_Comb_Odiamond__strip__lemmaE_1])).
% 0.61/0.97 thf(zip_derived_cl340, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_Comb_Odiamond @ v_r @ t_a)
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X0 @ v_z @ t_a @ t_a) @ v_r @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X0 @ (v_x @ v_xaa) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl1])).
% 0.61/0.97 thf(zip_derived_cl4, plain, ( (c_Comb_Odiamond @ v_r @ t_a)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.61/0.97 thf(zip_derived_cl341, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_in @ (c_Pair @ X0 @ v_z @ t_a @ t_a) @ v_r @
% 0.61/0.97 (tc_prod @ t_a @ t_a))
% 0.61/0.97 | ~ (c_in @ (c_Pair @ X0 @ (v_x @ v_xaa) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 0.61/0.97 (tc_prod @ t_a @ t_a)))),
% 0.61/0.97 inference('demod', [status(thm)], [zip_derived_cl340, zip_derived_cl4])).
% 0.61/0.97 thf(zip_derived_cl364, plain,
% 0.61/0.97 (~ (c_in @ (c_Pair @ v_ya @ (v_x @ v_xaa) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl341])).
% 0.61/0.97 thf(zip_derived_cl10, plain,
% 0.61/0.97 ( (c_in @ (c_Pair @ v_ya @ (v_x @ v_xaa) @ t_a @ t_a) @
% 0.61/0.97 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 0.61/0.97 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 0.61/0.97 thf(zip_derived_cl365, plain, ($false),
% 0.61/0.97 inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl10])).
% 0.61/0.97
% 0.61/0.97 % SZS output end Refutation
% 0.61/0.97
% 0.61/0.97
% 0.61/0.97 % Terminating...
% 0.66/1.08 % Runner terminated.
% 0.66/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------