TSTP Solution File: COL121-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pRXi48tZiP true
% Computer : n027.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 : Wed Aug 30 18:35:02 EDT 2023
% Result : Unsatisfiable 2.22s 0.94s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pRXi48tZiP true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 05:43:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.22/0.94 % Solved by fo/fo13.sh.
% 2.22/0.94 % done 140 iterations in 0.159s
% 2.22/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.22/0.94 % SZS output start Refutation
% 2.22/0.94 thf(v_z_type, type, v_z: $i).
% 2.22/0.94 thf(c_Transitive__Closure_Ortrancl_type, type, c_Transitive__Closure_Ortrancl:
% 2.22/0.94 $i > $i > $i).
% 2.22/0.94 thf(v_ya_type, type, v_ya: $i).
% 2.22/0.94 thf(v_x_type, type, v_x: $i > $i).
% 2.22/0.94 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 2.22/0.94 thf(v_r_type, type, v_r: $i).
% 2.22/0.94 thf(t_a_type, type, t_a: $i).
% 2.22/0.94 thf(c_Comb_Odiamond_type, type, c_Comb_Odiamond: $i > $i > $o).
% 2.22/0.94 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 2.22/0.94 thf(c_Comb_Odiamond__strip__lemmaE__1_type, type, c_Comb_Odiamond__strip__lemmaE__1:
% 2.22/0.94 $i > $i > $i > $i > $i).
% 2.22/0.94 thf(v_xaa_type, type, v_xaa: $i).
% 2.22/0.94 thf(v_y_type, type, v_y: $i).
% 2.22/0.94 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 2.22/0.94 thf(cls_conjecture_2, conjecture,
% 2.22/0.94 (~( c_in @
% 2.22/0.94 ( c_Pair @ v_ya @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 2.22/0.94 thf(zf_stmt_0, negated_conjecture,
% 2.22/0.94 (c_in @ ( c_Pair @ v_ya @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a )),
% 2.22/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 2.22/0.94 thf(zip_derived_cl5, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_ya @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.22/0.94 thf(cls_conjecture_3, conjecture,
% 2.22/0.94 (~( c_in @
% 2.22/0.94 ( c_Pair @ v_y @ v_xaa @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ))).
% 2.22/0.94 thf(zf_stmt_1, negated_conjecture,
% 2.22/0.94 (c_in @
% 2.22/0.94 ( c_Pair @ v_y @ v_xaa @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a )),
% 2.22/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 2.22/0.94 thf(zip_derived_cl6, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_y @ v_xaa @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.22/0.94 thf(cls_conjecture_5, conjecture,
% 2.22/0.94 (~( ( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @ V_U @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ))).
% 2.22/0.94 thf(zf_stmt_2, negated_conjecture,
% 2.22/0.94 (( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @ V_U @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a ) )),
% 2.22/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 2.22/0.94 thf(zip_derived_cl8, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | (c_in @ (c_Pair @ X0 @ (v_x @ X0) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.22/0.94 thf(zip_derived_cl64, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_xaa @ (v_x @ v_xaa) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 2.22/0.94 thf(zip_derived_cl6, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_y @ v_xaa @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.22/0.94 thf(cls_conjecture_4, conjecture,
% 2.22/0.94 (~( ( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @ v_ya @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ))).
% 2.22/0.94 thf(zf_stmt_3, negated_conjecture,
% 2.22/0.94 (( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_y @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @ v_ya @ ( v_x @ V_U ) @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a ) )),
% 2.22/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 2.22/0.94 thf(zip_derived_cl7, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | (c_in @ (c_Pair @ v_ya @ (v_x @ X0) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.22/0.94 thf(zip_derived_cl10, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_ya @ (v_x @ v_xaa) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 2.22/0.94 thf(zip_derived_cl5, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_ya @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.22/0.94 thf(cls_Comb_Odiamond__strip__lemmaE_0, axiom,
% 2.22/0.94 (( ~( c_Comb_Odiamond @ V_r @ T_a ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ V_x @ V_y_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.22/0.94 ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @
% 2.22/0.94 V_y_H @
% 2.22/0.94 ( c_Comb_Odiamond__strip__lemmaE__1 @ V_r @ V_y @ V_y_H @ T_a ) @
% 2.22/0.94 T_a @ T_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ))).
% 2.22/0.94 thf(zip_derived_cl0, plain,
% 2.22/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.22/0.94 (~ (c_Comb_Odiamond @ X0 @ X1)
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X2 @ X3 @ X1 @ X1) @ X0 @ (tc_prod @ X1 @ X1))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X2 @ X4 @ X1 @ X1) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ X0 @ X1) @ (tc_prod @ X1 @ X1))
% 2.22/0.94 | (c_in @
% 2.22/0.94 (c_Pair @ X3 @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ X0 @ X4 @ X3 @ X1) @ X1 @
% 2.22/0.94 X1) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ X0 @ X1) @ (tc_prod @ X1 @ X1)))),
% 2.22/0.94 inference('cnf', [status(esa)], [cls_Comb_Odiamond__strip__lemmaE_0])).
% 2.22/0.94 thf(zip_derived_cl13, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_Comb_Odiamond @ v_r @ t_a)
% 2.22/0.94 | ~ (c_in @ (c_Pair @ v_ya @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | (c_in @
% 2.22/0.94 (c_Pair @ v_z @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ X0 @ v_z @ t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.22/0.94 thf(cls_conjecture_0, conjecture, (~( c_Comb_Odiamond @ v_r @ t_a ))).
% 2.22/0.94 thf(zf_stmt_4, negated_conjecture, (c_Comb_Odiamond @ v_r @ t_a),
% 2.22/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 2.22/0.94 thf(zip_derived_cl4, plain, ( (c_Comb_Odiamond @ v_r @ t_a)),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.22/0.94 thf(zip_derived_cl14, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_in @ (c_Pair @ v_ya @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | (c_in @
% 2.22/0.94 (c_Pair @ v_z @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ X0 @ v_z @ t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 2.22/0.94 thf(zip_derived_cl153, plain,
% 2.22/0.94 ( (c_in @
% 2.22/0.94 (c_Pair @ v_z @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl14])).
% 2.22/0.94 thf(cls_conjecture_6, conjecture,
% 2.22/0.94 (~( ( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_xaa @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) ))).
% 2.22/0.94 thf(zf_stmt_5, negated_conjecture,
% 2.22/0.94 (( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ v_xaa @ V_U @ t_a @ t_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 2.22/0.94 ( tc_prod @ t_a @ t_a ) ) )),
% 2.22/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 2.22/0.94 thf(zip_derived_cl9, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_in @ (c_Pair @ v_z @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ v_xaa @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.22/0.94 thf(zip_derived_cl194, plain,
% 2.22/0.94 (~ (c_in @
% 2.22/0.94 (c_Pair @ v_xaa @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl9])).
% 2.22/0.94 thf(cls_Transitive__Closure_Ortrancl__trans_0, axiom,
% 2.22/0.94 (( ~( c_in @
% 2.22/0.94 ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.22/0.94 ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.22/0.94 ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ))).
% 2.22/0.94 thf(zip_derived_cl3, plain,
% 2.22/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.22/0.94 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X4 @ X0 @ X2 @ X2) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 2.22/0.94 | (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2)))),
% 2.22/0.94 inference('cnf', [status(esa)],
% 2.22/0.94 [cls_Transitive__Closure_Ortrancl__trans_0])).
% 2.22/0.94 thf(zip_derived_cl197, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_in @
% 2.22/0.94 (c_Pair @ X0 @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @
% 2.22/0.94 t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ v_xaa @ X0 @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl3])).
% 2.22/0.94 thf(zip_derived_cl336, plain,
% 2.22/0.94 (~ (c_in @
% 2.22/0.94 (c_Pair @ (v_x @ v_xaa) @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl197])).
% 2.22/0.94 thf(cls_Transitive__Closure_Or__into__rtrancl_0, axiom,
% 2.22/0.94 (( ~( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.22/0.94 ( tc_prod @ T_a @ T_a ) ))).
% 2.22/0.94 thf(zip_derived_cl2, plain,
% 2.22/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.22/0.94 (~ (c_in @ X0 @ X1 @ (tc_prod @ X2 @ X2))
% 2.22/0.94 | (c_in @ X0 @ (c_Transitive__Closure_Ortrancl @ X1 @ X2) @
% 2.22/0.94 (tc_prod @ X2 @ X2)))),
% 2.22/0.94 inference('cnf', [status(esa)],
% 2.22/0.94 [cls_Transitive__Closure_Or__into__rtrancl_0])).
% 2.22/0.94 thf(zip_derived_cl338, plain,
% 2.22/0.94 (~ (c_in @
% 2.22/0.94 (c_Pair @ (v_x @ v_xaa) @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ v_r @ (v_x @ v_xaa) @ v_z @ t_a) @
% 2.22/0.94 t_a @ t_a) @
% 2.22/0.94 v_r @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl336, zip_derived_cl2])).
% 2.22/0.94 thf(cls_Comb_Odiamond__strip__lemmaE_1, axiom,
% 2.22/0.94 (( ~( c_Comb_Odiamond @ V_r @ T_a ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ V_x @ V_y_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( ~( c_in @
% 2.22/0.94 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @
% 2.22/0.94 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 2.22/0.94 ( tc_prod @ T_a @ T_a ) ) ) |
% 2.22/0.94 ( c_in @
% 2.22/0.94 ( c_Pair @
% 2.22/0.94 V_y @
% 2.22/0.94 ( c_Comb_Odiamond__strip__lemmaE__1 @ V_r @ V_y @ V_y_H @ T_a ) @
% 2.22/0.94 T_a @ T_a ) @
% 2.22/0.94 V_r @ ( tc_prod @ T_a @ T_a ) ))).
% 2.22/0.94 thf(zip_derived_cl1, plain,
% 2.22/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.22/0.94 (~ (c_Comb_Odiamond @ X0 @ X1)
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X2 @ X3 @ X1 @ X1) @ X0 @ (tc_prod @ X1 @ X1))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X2 @ X4 @ X1 @ X1) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ X0 @ X1) @ (tc_prod @ X1 @ X1))
% 2.22/0.94 | (c_in @
% 2.22/0.94 (c_Pair @ X4 @
% 2.22/0.94 (c_Comb_Odiamond__strip__lemmaE__1 @ X0 @ X4 @ X3 @ X1) @ X1 @
% 2.22/0.94 X1) @
% 2.22/0.94 X0 @ (tc_prod @ X1 @ X1)))),
% 2.22/0.94 inference('cnf', [status(esa)], [cls_Comb_Odiamond__strip__lemmaE_1])).
% 2.22/0.94 thf(zip_derived_cl340, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_Comb_Odiamond @ v_r @ t_a)
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X0 @ v_z @ t_a @ t_a) @ v_r @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X0 @ (v_x @ v_xaa) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl1])).
% 2.22/0.94 thf(zip_derived_cl4, plain, ( (c_Comb_Odiamond @ v_r @ t_a)),
% 2.22/0.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.22/0.94 thf(zip_derived_cl341, plain,
% 2.22/0.94 (![X0 : $i]:
% 2.22/0.94 (~ (c_in @ (c_Pair @ X0 @ v_z @ t_a @ t_a) @ v_r @
% 2.22/0.94 (tc_prod @ t_a @ t_a))
% 2.22/0.94 | ~ (c_in @ (c_Pair @ X0 @ (v_x @ v_xaa) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 2.22/0.94 (tc_prod @ t_a @ t_a)))),
% 2.22/0.94 inference('demod', [status(thm)], [zip_derived_cl340, zip_derived_cl4])).
% 2.22/0.94 thf(zip_derived_cl364, plain,
% 2.22/0.94 (~ (c_in @ (c_Pair @ v_ya @ (v_x @ v_xaa) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl341])).
% 2.22/0.94 thf(zip_derived_cl10, plain,
% 2.22/0.94 ( (c_in @ (c_Pair @ v_ya @ (v_x @ v_xaa) @ t_a @ t_a) @
% 2.22/0.94 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 2.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 2.22/0.94 thf(zip_derived_cl365, plain, ($false),
% 2.22/0.94 inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl10])).
% 2.22/0.94
% 2.22/0.94 % SZS output end Refutation
% 2.22/0.94
% 2.22/0.94
% 2.22/0.94 % Terminating...
% 2.64/1.05 % Runner terminated.
% 2.64/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------