%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET831-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZabBk6nLYX true
% Computer : n005.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 04:52:56 PM UTC 2025
% Result : Unsatisfiable 0.47s 1.00s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET831-2 : TPTP v9.2.0. Released v3.2.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZabBk6nLYX true
% 0.10/0.30 % Computer : n005.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:18:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.45/0.55 % Total configuration time : 435
% 0.45/0.55 % Estimated wc time : 1092
% 0.45/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/1.00 % Solved by fo/fo13.sh.
% 0.47/1.00 % done 490 iterations in 0.297s
% 0.47/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/1.00 % SZS output start Refutation
% 0.47/1.00 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.47/1.00 thf(v_Y_type, type, v_Y: $i).
% 0.47/1.00 thf(c_inter_type, type, c_inter: $i > $i > $i > $i).
% 0.47/1.00 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 0.47/1.00 thf(v_x_type, type, v_x: $i).
% 0.47/1.00 thf(v_Z_type, type, v_Z: $i).
% 0.47/1.00 thf(v_X_type, type, v_X: $i).
% 0.47/1.00 thf(tc_set_type, type, tc_set: $i > $i).
% 0.47/1.00 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.47/1.00 thf(t_a_type, type, t_a: $i).
% 0.47/1.00 thf(cls_conjecture_4, conjecture,
% 0.47/1.00 (~( ( ( v_X ) != ( c_inter @ v_Y @ v_Z @ t_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_x @ v_X @ ( tc_set @ t_a ) ) ) ))).
% 0.47/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.47/1.00 (( ( v_X ) != ( c_inter @ v_Y @ v_Z @ t_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_x @ v_X @ ( tc_set @ t_a ) ) )),
% 0.47/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.47/1.00 thf(zip_derived_cl4, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_x @ v_X @ (tc_set @ t_a)))),
% 0.47/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/1.00 thf(cls_Set_OsubsetI_0, axiom,
% 0.47/1.00 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 0.47/1.00 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.47/1.00 thf(zip_derived_cl10, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.47/1.00 thf(cls_conjecture_1, conjecture,
% 0.47/1.00 (~( ( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) |
% 0.47/1.00 ( ( v_X ) = ( c_inter @ v_Y @ v_Z @ t_a ) ) ))).
% 0.47/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.47/1.00 (( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) |
% 0.47/1.00 ( ( v_X ) = ( c_inter @ v_Y @ v_Z @ t_a ) )),
% 0.47/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.47/1.00 thf(zip_derived_cl1, plain,
% 0.47/1.00 (( (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | ((v_X) = (c_inter @ v_Y @ v_Z @ t_a)))),
% 0.47/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/1.00 thf(cls_Set_OIntE_0, axiom,
% 0.47/1.00 (( ~( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.47/1.00 ( c_in @ V_c @ V_B @ T_a ))).
% 0.47/1.00 thf(zip_derived_cl6, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.47/1.00 | (c_in @ X0 @ X2 @ X3))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntE_0])).
% 0.47/1.00 thf(zip_derived_cl22, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_in @ X0 @ v_X @ t_a)
% 0.47/1.00 | (c_in @ X0 @ v_Z @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 0.47/1.00 thf(cls_Set_OsubsetD_0, axiom,
% 0.47/1.00 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.47/1.00 ( c_in @ V_c @ V_B @ T_a ))).
% 0.47/1.00 thf(zip_derived_cl9, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.47/1.00 | (c_in @ X0 @ X3 @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.47/1.00 thf(zip_derived_cl29, plain,
% 0.47/1.00 (![X0 : $i]: ( (c_in @ X0 @ v_Z @ t_a) | ~ (c_in @ X0 @ v_X @ t_a))),
% 0.47/1.00 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl9])).
% 0.47/1.00 thf(zip_derived_cl35, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @ v_Z @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl29])).
% 0.47/1.00 thf(cls_Set_OsubsetI_1, axiom,
% 0.47/1.00 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 0.47/1.00 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl42, plain,
% 0.47/1.00 (( (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl43, plain, ( (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl42])).
% 0.47/1.00 thf(zip_derived_cl46, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_x @ v_X @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl43])).
% 0.47/1.00 thf(zip_derived_cl10, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.47/1.00 thf(cls_conjecture_0, conjecture,
% 0.47/1.00 (~( ( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) |
% 0.47/1.00 ( ( v_X ) = ( c_inter @ v_Y @ v_Z @ t_a ) ) ))).
% 0.47/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.47/1.00 (( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) |
% 0.47/1.00 ( ( v_X ) = ( c_inter @ v_Y @ v_Z @ t_a ) )),
% 0.47/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.47/1.00 thf(zip_derived_cl0, plain,
% 0.47/1.00 (( (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ((v_X) = (c_inter @ v_Y @ v_Z @ t_a)))),
% 0.47/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/1.00 thf(cls_Set_OIntE_1, axiom,
% 0.47/1.00 (( ~( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.47/1.00 ( c_in @ V_c @ V_A @ T_a ))).
% 0.47/1.00 thf(zip_derived_cl7, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.47/1.00 | (c_in @ X0 @ X1 @ X3))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntE_1])).
% 0.47/1.00 thf(zip_derived_cl23, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_in @ X0 @ v_X @ t_a)
% 0.47/1.00 | (c_in @ X0 @ v_Y @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 0.47/1.00 thf(zip_derived_cl9, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.47/1.00 | (c_in @ X0 @ X3 @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.47/1.00 thf(zip_derived_cl30, plain,
% 0.47/1.00 (![X0 : $i]: ( (c_in @ X0 @ v_Y @ t_a) | ~ (c_in @ X0 @ v_X @ t_a))),
% 0.47/1.00 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 0.47/1.00 thf(zip_derived_cl36, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @ v_Y @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl30])).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl61, plain,
% 0.47/1.00 (( (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl62, plain, ( (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 0.47/1.00 thf(zip_derived_cl65, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_x @ v_X @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl62])).
% 0.47/1.00 thf(zip_derived_cl10, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.47/1.00 thf(zip_derived_cl6, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.47/1.00 | (c_in @ X0 @ X2 @ X3))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntE_0])).
% 0.47/1.00 thf(zip_derived_cl37, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ X2 @ X1 @ X0) @ X3 @ X0) @ X1 @
% 0.47/1.00 X0))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl113, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 0.47/1.00 | (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl115, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl113])).
% 0.47/1.00 thf(zip_derived_cl10, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.47/1.00 thf(zip_derived_cl7, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.47/1.00 | (c_in @ X0 @ X1 @ X3))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntE_1])).
% 0.47/1.00 thf(zip_derived_cl38, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ X2 @ X1 @ X0) @ X3 @ X0) @ X2 @
% 0.47/1.00 X0))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl7])).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl150, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X1 @ X2 @ X0) @ X1 @ (tc_set @ X0))
% 0.47/1.00 | (c_lessequals @ (c_inter @ X1 @ X2 @ X0) @ X1 @ (tc_set @ X0)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl152, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (c_lessequals @ (c_inter @ X1 @ X2 @ X0) @ X1 @ (tc_set @ X0))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl150])).
% 0.47/1.00 thf(cls_conjecture_5, conjecture,
% 0.47/1.00 (~( ( ~( c_lessequals @ V_U @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ V_U @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( c_lessequals @ V_U @ v_X @ ( tc_set @ t_a ) ) |
% 0.47/1.00 ( ( v_X ) = ( c_inter @ v_Y @ v_Z @ t_a ) ) ))).
% 0.47/1.00 thf(zf_stmt_3, negated_conjecture,
% 0.47/1.00 (( ~( c_lessequals @ V_U @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ V_U @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( c_lessequals @ V_U @ v_X @ ( tc_set @ t_a ) ) |
% 0.47/1.00 ( ( v_X ) = ( c_inter @ v_Y @ v_Z @ t_a ) )),
% 0.47/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.47/1.00 thf(zip_derived_cl5, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 (~ (c_lessequals @ X0 @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ X0 @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ X0 @ v_X @ (tc_set @ t_a))
% 0.47/1.00 | ((v_X) = (c_inter @ v_Y @ v_Z @ t_a)))),
% 0.47/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.47/1.00 thf(zip_derived_cl216, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 (~ (c_lessequals @ (c_inter @ v_Y @ X0 @ t_a) @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ (c_inter @ v_Y @ X0 @ t_a) @ v_X @ (tc_set @ t_a))
% 0.47/1.00 | ((v_X) = (c_inter @ v_Y @ v_Z @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl5])).
% 0.47/1.00 thf(zip_derived_cl235, plain,
% 0.47/1.00 (( (c_lessequals @ (c_inter @ v_Y @ v_Z @ t_a) @ v_X @ (tc_set @ t_a))
% 0.47/1.00 | ((v_X) = (c_inter @ v_Y @ v_Z @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl216])).
% 0.47/1.00 thf(zip_derived_cl36, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @ v_Y @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl30])).
% 0.47/1.00 thf(zip_derived_cl35, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @ v_Z @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl29])).
% 0.47/1.00 thf(cls_Set_OIntI_0, axiom,
% 0.47/1.00 (( ~( c_in @ V_c @ V_B @ T_a ) ) | ( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.47/1.00 ( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ))).
% 0.47/1.00 thf(zip_derived_cl8, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_in @ X0 @ X3 @ X2)
% 0.47/1.00 | (c_in @ X0 @ (c_inter @ X3 @ X1 @ X2) @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntI_0])).
% 0.47/1.00 thf(zip_derived_cl41, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @ X1 @ t_a)
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @
% 0.47/1.00 (c_inter @ X1 @ v_Z @ t_a) @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl8])).
% 0.47/1.00 thf(zip_derived_cl71, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_X @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @
% 0.47/1.00 (c_inter @ v_Y @ v_Z @ t_a) @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl41])).
% 0.47/1.00 thf(zip_derived_cl74, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ v_X @ X0 @ t_a) @
% 0.47/1.00 (c_inter @ v_Y @ v_Z @ t_a) @ t_a)
% 0.47/1.00 | (c_lessequals @ v_X @ X0 @ (tc_set @ t_a)))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl71])).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl97, plain,
% 0.47/1.00 (( (c_lessequals @ v_X @ (c_inter @ v_Y @ v_Z @ t_a) @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_X @ (c_inter @ v_Y @ v_Z @ t_a) @ (tc_set @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl100, plain,
% 0.47/1.00 ( (c_lessequals @ v_X @ (c_inter @ v_Y @ v_Z @ t_a) @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl97])).
% 0.47/1.00 thf(cls_Set_Osubset__antisym_0, axiom,
% 0.47/1.00 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.47/1.00 ( ( V_A ) = ( V_B ) ))).
% 0.47/1.00 thf(zip_derived_cl12, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.47/1.00 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.47/1.00 | ((X1) = (X0)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.47/1.00 thf(zip_derived_cl104, plain,
% 0.47/1.00 ((~ (c_lessequals @ (c_inter @ v_Y @ v_Z @ t_a) @ v_X @ (tc_set @ t_a))
% 0.47/1.00 | ((c_inter @ v_Y @ v_Z @ t_a) = (v_X)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl12])).
% 0.47/1.00 thf(zip_derived_cl241, plain, (((v_X) = (c_inter @ v_Y @ v_Z @ t_a))),
% 0.47/1.00 inference('clc', [status(thm)], [zip_derived_cl235, zip_derived_cl104])).
% 0.47/1.00 thf(zip_derived_cl246, plain,
% 0.47/1.00 ((((v_X) != (v_X)) | ~ (c_lessequals @ v_x @ v_X @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl241])).
% 0.47/1.00 thf(zip_derived_cl247, plain,
% 0.47/1.00 (~ (c_lessequals @ v_x @ v_X @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl246])).
% 0.47/1.00 thf(zip_derived_cl37, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ X2 @ X1 @ X0) @ X3 @ X0) @ X1 @
% 0.47/1.00 X0))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 0.47/1.00 thf(cls_conjecture_2, conjecture,
% 0.47/1.00 (~( ( ( v_X ) != ( c_inter @ v_Y @ v_Z @ t_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( c_lessequals @ v_x @ v_Y @ ( tc_set @ t_a ) ) ))).
% 0.47/1.00 thf(zf_stmt_4, negated_conjecture,
% 0.47/1.00 (( ( v_X ) != ( c_inter @ v_Y @ v_Z @ t_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( c_lessequals @ v_x @ v_Y @ ( tc_set @ t_a ) )),
% 0.47/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.47/1.00 thf(zip_derived_cl2, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_Y @ (tc_set @ t_a)))),
% 0.47/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/1.00 thf(zip_derived_cl43, plain, ( (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl42])).
% 0.47/1.00 thf(zip_derived_cl44, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_Y @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl43])).
% 0.47/1.00 thf(zip_derived_cl62, plain, ( (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 0.47/1.00 thf(zip_derived_cl63, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_Y @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl62])).
% 0.47/1.00 thf(zip_derived_cl241, plain, (((v_X) = (c_inter @ v_Y @ v_Z @ t_a))),
% 0.47/1.00 inference('clc', [status(thm)], [zip_derived_cl235, zip_derived_cl104])).
% 0.47/1.00 thf(zip_derived_cl242, plain,
% 0.47/1.00 ((((v_X) != (v_X)) | (c_lessequals @ v_x @ v_Y @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl241])).
% 0.47/1.00 thf(zip_derived_cl243, plain, ( (c_lessequals @ v_x @ v_Y @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 0.47/1.00 thf(zip_derived_cl9, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.47/1.00 | (c_in @ X0 @ X3 @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.47/1.00 thf(zip_derived_cl260, plain,
% 0.47/1.00 (![X0 : $i]: (~ (c_in @ X0 @ v_x @ t_a) | (c_in @ X0 @ v_Y @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl9])).
% 0.47/1.00 thf(zip_derived_cl279, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X1 @ v_x @ t_a) @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ X1 @ v_x @ t_a) @ X0 @ t_a) @
% 0.47/1.00 v_Y @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl260])).
% 0.47/1.00 thf(zip_derived_cl38, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ X2 @ X1 @ X0) @ X3 @ X0) @ X2 @
% 0.47/1.00 X0))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl7])).
% 0.47/1.00 thf(zip_derived_cl241, plain, (((v_X) = (c_inter @ v_Y @ v_Z @ t_a))),
% 0.47/1.00 inference('clc', [status(thm)], [zip_derived_cl235, zip_derived_cl104])).
% 0.47/1.00 thf(zip_derived_cl8, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_in @ X0 @ X3 @ X2)
% 0.47/1.00 | (c_in @ X0 @ (c_inter @ X3 @ X1 @ X2) @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntI_0])).
% 0.47/1.00 thf(zip_derived_cl253, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ v_Z @ t_a)
% 0.47/1.00 | ~ (c_in @ X0 @ v_Y @ t_a)
% 0.47/1.00 | (c_in @ X0 @ v_X @ t_a))),
% 0.47/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl8])).
% 0.47/1.00 thf(zip_derived_cl304, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ v_Z @ X1 @ t_a) @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ v_Z @ X1 @ t_a) @ X0 @ t_a) @
% 0.47/1.00 v_Y @ t_a)
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ v_Z @ X1 @ t_a) @ X0 @ t_a) @
% 0.47/1.00 v_X @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl253])).
% 0.47/1.00 thf(zip_derived_cl1114, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ (c_inter @ v_Z @ v_x @ t_a) @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ (c_inter @ v_Z @ v_x @ t_a) @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @
% 0.47/1.00 (c_Main_OsubsetI__1 @ (c_inter @ v_Z @ v_x @ t_a) @ X0 @ t_a) @
% 0.47/1.00 v_X @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl304])).
% 0.47/1.00 thf(zip_derived_cl10, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.47/1.00 thf(cls_conjecture_3, conjecture,
% 0.47/1.00 (~( ( ( v_X ) != ( c_inter @ v_Y @ v_Z @ t_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( c_lessequals @ v_x @ v_Z @ ( tc_set @ t_a ) ) ))).
% 0.47/1.00 thf(zf_stmt_5, negated_conjecture,
% 0.47/1.00 (( ( v_X ) != ( c_inter @ v_Y @ v_Z @ t_a ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( ~( c_lessequals @ v_X @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.47/1.00 ( c_lessequals @ v_x @ v_Z @ ( tc_set @ t_a ) )),
% 0.47/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.47/1.00 thf(zip_derived_cl3, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_Z @ (tc_set @ t_a)))),
% 0.47/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.47/1.00 thf(zip_derived_cl43, plain, ( (c_lessequals @ v_X @ v_Z @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl42])).
% 0.47/1.00 thf(zip_derived_cl45, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | ~ (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_Z @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl43])).
% 0.47/1.00 thf(zip_derived_cl62, plain, ( (c_lessequals @ v_X @ v_Y @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 0.47/1.00 thf(zip_derived_cl64, plain,
% 0.47/1.00 ((((v_X) != (c_inter @ v_Y @ v_Z @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_Z @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl62])).
% 0.47/1.00 thf(zip_derived_cl241, plain, (((v_X) = (c_inter @ v_Y @ v_Z @ t_a))),
% 0.47/1.00 inference('clc', [status(thm)], [zip_derived_cl235, zip_derived_cl104])).
% 0.47/1.00 thf(zip_derived_cl244, plain,
% 0.47/1.00 ((((v_X) != (v_X)) | (c_lessequals @ v_x @ v_Z @ (tc_set @ t_a)))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl241])).
% 0.47/1.00 thf(zip_derived_cl245, plain, ( (c_lessequals @ v_x @ v_Z @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl244])).
% 0.47/1.00 thf(zip_derived_cl9, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.47/1.00 | (c_in @ X0 @ X3 @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.47/1.00 thf(zip_derived_cl262, plain,
% 0.47/1.00 (![X0 : $i]: (~ (c_in @ X0 @ v_x @ t_a) | (c_in @ X0 @ v_Z @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl9])).
% 0.47/1.00 thf(zip_derived_cl299, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_x @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_x @ X0 @ t_a) @ v_Z @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl262])).
% 0.47/1.00 thf(zip_derived_cl10, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.47/1.00 thf(zip_derived_cl8, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 (~ (c_in @ X0 @ X1 @ X2)
% 0.47/1.00 | ~ (c_in @ X0 @ X3 @ X2)
% 0.47/1.00 | (c_in @ X0 @ (c_inter @ X3 @ X1 @ X2) @ X2))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OIntI_0])).
% 0.47/1.00 thf(zip_derived_cl34, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/1.00 ( (c_lessequals @ X1 @ X2 @ (tc_set @ X0))
% 0.47/1.00 | ~ (c_in @ (c_Main_OsubsetI__1 @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ X1 @ X2 @ X0) @
% 0.47/1.00 (c_inter @ X3 @ X1 @ X0) @ X0))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 0.47/1.00 thf(zip_derived_cl315, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_x @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_x @ X0 @ t_a) @
% 0.47/1.00 (c_inter @ v_Z @ v_x @ t_a) @ t_a))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl34])).
% 0.47/1.00 thf(zip_derived_cl317, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ v_x @ X0 @ t_a) @
% 0.47/1.00 (c_inter @ v_Z @ v_x @ t_a) @ t_a)
% 0.47/1.00 | (c_lessequals @ v_x @ X0 @ (tc_set @ t_a)))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl498, plain,
% 0.47/1.00 (( (c_lessequals @ v_x @ (c_inter @ v_Z @ v_x @ t_a) @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ (c_inter @ v_Z @ v_x @ t_a) @ (tc_set @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl317, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl500, plain,
% 0.47/1.00 ( (c_lessequals @ v_x @ (c_inter @ v_Z @ v_x @ t_a) @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl498])).
% 0.47/1.00 thf(zip_derived_cl12, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.47/1.00 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.47/1.00 | ((X1) = (X0)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.47/1.00 thf(zip_derived_cl503, plain,
% 0.47/1.00 ((~ (c_lessequals @ (c_inter @ v_Z @ v_x @ t_a) @ v_x @ (tc_set @ t_a))
% 0.47/1.00 | ((c_inter @ v_Z @ v_x @ t_a) = (v_x)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl500, zip_derived_cl12])).
% 0.47/1.00 thf(zip_derived_cl115, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl113])).
% 0.47/1.00 thf(zip_derived_cl504, plain, (((c_inter @ v_Z @ v_x @ t_a) = (v_x))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl503, zip_derived_cl115])).
% 0.47/1.00 thf(zip_derived_cl504, plain, (((c_inter @ v_Z @ v_x @ t_a) = (v_x))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl503, zip_derived_cl115])).
% 0.47/1.00 thf(zip_derived_cl504, plain, (((c_inter @ v_Z @ v_x @ t_a) = (v_x))),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl503, zip_derived_cl115])).
% 0.47/1.00 thf(zip_derived_cl1123, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_lessequals @ v_x @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ X0 @ (tc_set @ t_a))
% 0.47/1.00 | (c_in @ (c_Main_OsubsetI__1 @ v_x @ X0 @ t_a) @ v_X @ t_a))),
% 0.47/1.00 inference('demod', [status(thm)],
% 0.47/1.00 [zip_derived_cl1114, zip_derived_cl504, zip_derived_cl504,
% 0.47/1.00 zip_derived_cl504])).
% 0.47/1.00 thf(zip_derived_cl1124, plain,
% 0.47/1.00 (![X0 : $i]:
% 0.47/1.00 ( (c_in @ (c_Main_OsubsetI__1 @ v_x @ X0 @ t_a) @ v_X @ t_a)
% 0.47/1.00 | (c_lessequals @ v_x @ X0 @ (tc_set @ t_a)))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl1123])).
% 0.47/1.00 thf(zip_derived_cl11, plain,
% 0.47/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/1.00 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.47/1.00 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.47/1.00 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.47/1.00 thf(zip_derived_cl1136, plain,
% 0.47/1.00 (( (c_lessequals @ v_x @ v_X @ (tc_set @ t_a))
% 0.47/1.00 | (c_lessequals @ v_x @ v_X @ (tc_set @ t_a)))),
% 0.47/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl1124, zip_derived_cl11])).
% 0.47/1.00 thf(zip_derived_cl1138, plain,
% 0.47/1.00 ( (c_lessequals @ v_x @ v_X @ (tc_set @ t_a))),
% 0.47/1.00 inference('simplify', [status(thm)], [zip_derived_cl1136])).
% 0.47/1.00 thf(zip_derived_cl1140, plain, ($false),
% 0.47/1.00 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl1138])).
% 0.47/1.00
% 0.47/1.00 % SZS output end Refutation
% 0.47/1.00
% 0.47/1.00
% 0.47/1.00 % Terminating...
% 1.70/1.08 % Runner terminated.
% 1.70/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------