%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL430-2 : TPTP v9.3.1. 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.FASDY5JYjt true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:55 PM UTC 2026
% Result : Unsatisfiable 0.45s 0.80s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL430-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FASDY5JYjt true
% 0.13/0.37 % Computer : n014.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Fri Sep 4 19:41:42 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.38 % Python version: Python 3.12.3
% 0.13/0.38 % Running in FO mode
% 0.42/0.68 % Total configuration time : 435
% 0.42/0.68 % Estimated wc time : 1092
% 0.42/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.80 % Solved by fo/fo6_bce.sh.
% 0.45/0.80 % BCE start: 8
% 0.45/0.80 % BCE eliminated: 0
% 0.45/0.80 % PE start: 8
% 0.45/0.80 logic: neq
% 0.45/0.80 % PE eliminated: 0
% 0.45/0.80 % done 23 iterations in 0.030s
% 0.45/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.80 % SZS output start Refutation
% 0.45/0.80 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.45/0.80 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.45/0.80 thf(c_PropLog_Opl_Oop_A_N_62_type, type, c_PropLog_Opl_Oop_A_N_62: $i > $i >
% 0.45/0.80 $i > $i).
% 0.45/0.80 thf(v_t_type, type, v_t: $i).
% 0.45/0.80 thf(c_PropLog_Opl_Ovar_type, type, c_PropLog_Opl_Ovar: $i > $i > $i).
% 0.45/0.80 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.45/0.80 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.45/0.80 thf(t_a_type, type, t_a: $i).
% 0.45/0.80 thf(v_v_type, type, v_v: $i).
% 0.45/0.80 thf(c_emptyset_type, type, c_emptyset: $i).
% 0.45/0.80 thf(v_p_type, type, v_p: $i).
% 0.45/0.80 thf(tc_set_type, type, tc_set: $i > $i).
% 0.45/0.80 thf(c_PropLog_Othms_type, type, c_PropLog_Othms: $i > $i > $i).
% 0.45/0.80 thf(c_PropLog_Opl_Ofalse_type, type, c_PropLog_Opl_Ofalse: $i).
% 0.45/0.80 thf(v_F_type, type, v_F: $i).
% 0.46/0.80 thf(tc_PropLog_Opl_type, type, tc_PropLog_Opl: $i > $i).
% 0.46/0.80 thf(c_PropLog_Ohyps_type, type, c_PropLog_Ohyps: $i > $i > $i > $i).
% 0.46/0.80 thf(cls_conjecture_5, conjecture,
% 0.46/0.80 (c_in @
% 0.46/0.80 v_p @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 ( c_PropLog_Ohyps @ v_p @ v_t @ t_a ) @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.46/0.80 ( c_PropLog_Opl_Ovar @ v_v @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.46/0.80 v_F @ ( tc_PropLog_Opl @ t_a ) ) @
% 0.46/0.80 ( tc_set @ ( tc_PropLog_Opl @ t_a ) ) ) @
% 0.46/0.80 t_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ t_a ))).
% 0.46/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.46/0.80 (~( c_in @
% 0.46/0.80 v_p @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 ( c_PropLog_Ohyps @ v_p @ v_t @ t_a ) @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.46/0.80 ( c_PropLog_Opl_Ovar @ v_v @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.46/0.80 v_F @ ( tc_PropLog_Opl @ t_a ) ) @
% 0.46/0.80 ( tc_set @ ( tc_PropLog_Opl @ t_a ) ) ) @
% 0.46/0.80 t_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ t_a ) )),
% 0.46/0.80 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.46/0.80 thf(zip_derived_cl7, plain,
% 0.46/0.80 (~ (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ v_t @ t_a) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ v_v @ t_a) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ t_a) @
% 0.46/0.80 v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a))),
% 0.46/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.46/0.80 thf(cls_PropLog_Oinsert__Diff__same_0, axiom,
% 0.46/0.80 (c_lessequals @
% 0.46/0.80 ( c_minus @ V_B @ V_C @ ( tc_set @ T_a ) ) @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 V_a @
% 0.46/0.80 ( c_minus @ V_B @ ( c_insert @ V_a @ V_C @ T_a ) @ ( tc_set @ T_a ) ) @
% 0.46/0.80 T_a ) @
% 0.46/0.80 ( tc_set @ T_a ))).
% 0.46/0.80 thf(zip_derived_cl2, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.46/0.80 (c_lessequals @ (c_minus @ X0 @ X1 @ (tc_set @ X2)) @
% 0.46/0.80 (c_insert @ X3 @
% 0.46/0.80 (c_minus @ X0 @ (c_insert @ X3 @ X1 @ X2) @ (tc_set @ X2)) @ X2) @
% 0.46/0.80 (tc_set @ X2))),
% 0.46/0.80 inference('cnf', [status(esa)], [cls_PropLog_Oinsert__Diff__same_0])).
% 0.46/0.80 thf(cls_PropLog_Oweaken__left_0, axiom,
% 0.46/0.80 (( ~( c_in @
% 0.46/0.80 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.46/0.80 ( ~( c_lessequals @ V_G @ V_H @ ( tc_set @ ( tc_PropLog_Opl @ T_a ) ) ) ) |
% 0.46/0.80 ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.46/0.80 thf(zip_derived_cl5, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.46/0.80 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.46/0.80 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ (tc_PropLog_Opl @ X2)))
% 0.46/0.80 | (c_in @ X0 @ (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.46/0.80 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left_0])).
% 0.46/0.80 thf(zip_derived_cl15, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.46/0.80 (~ (c_in @ X4 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ X3 @ X1 @ (tc_set @ (tc_PropLog_Opl @ X0))) @ X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0))
% 0.46/0.80 | (c_in @ X4 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_insert @ X2 @
% 0.46/0.80 (c_minus @ X3 @ (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 0.46/0.80 thf(cls_conjecture_3, conjecture,
% 0.46/0.80 (~( c_in @
% 0.46/0.80 v_p @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 ( c_PropLog_Ohyps @ v_p @ V_U @ t_a ) @ v_F @
% 0.46/0.80 ( tc_set @ ( tc_PropLog_Opl @ t_a ) ) ) @
% 0.46/0.80 t_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ t_a ) ))).
% 0.46/0.80 thf(zf_stmt_1, negated_conjecture,
% 0.46/0.80 (c_in @
% 0.46/0.80 v_p @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 ( c_PropLog_Ohyps @ v_p @ V_U @ t_a ) @ v_F @
% 0.46/0.80 ( tc_set @ ( tc_PropLog_Opl @ t_a ) ) ) @
% 0.46/0.80 t_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ t_a )),
% 0.46/0.80 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.46/0.80 thf(zip_derived_cl6, plain,
% 0.46/0.80 (![X0 : $i]:
% 0.46/0.80 (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X0 @ t_a) @ v_F @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a))),
% 0.46/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.46/0.80 thf(cls_PropLog_Ohyps__insert_0, axiom,
% 0.46/0.80 (c_lessequals @
% 0.46/0.80 ( c_PropLog_Ohyps @ V_p @ ( c_insert @ V_v @ V_t @ T_a ) @ T_a ) @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 ( c_PropLog_Opl_Ovar @ V_v @ T_a ) @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 ( c_PropLog_Ohyps @ V_p @ V_t @ T_a ) @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.46/0.80 ( c_PropLog_Opl_Ovar @ V_v @ T_a ) @ c_PropLog_Opl_Ofalse @ T_a ) @
% 0.46/0.80 c_emptyset @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.46/0.80 ( tc_set @ ( tc_PropLog_Opl @ T_a ) ) ) @
% 0.46/0.80 ( tc_PropLog_Opl @ T_a ) ) @
% 0.46/0.80 ( tc_set @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.46/0.80 thf(zip_derived_cl1, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.46/0.80 (c_lessequals @
% 0.46/0.80 (c_PropLog_Ohyps @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3) @
% 0.46/0.80 (c_insert @ (c_PropLog_Opl_Ovar @ X1 @ X3) @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ X0 @ X2 @ X3) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X1 @ X3) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ X3) @
% 0.46/0.80 c_emptyset @ (tc_PropLog_Opl @ X3)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X3))) @
% 0.46/0.80 (tc_PropLog_Opl @ X3)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X3)))),
% 0.46/0.80 inference('cnf', [status(esa)], [cls_PropLog_Ohyps__insert_0])).
% 0.46/0.80 thf(cls_PropLog_ODiff__weaken__left_0, axiom,
% 0.46/0.80 (( ~( c_in @
% 0.46/0.80 V_p @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_minus @ V_A @ V_B @ ( tc_set @ ( tc_PropLog_Opl @ T_a ) ) ) @
% 0.46/0.80 T_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.46/0.80 ( ~( c_lessequals @ V_A @ V_C @ ( tc_set @ ( tc_PropLog_Opl @ T_a ) ) ) ) |
% 0.46/0.80 ( c_in @
% 0.46/0.80 V_p @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_minus @ V_C @ V_B @ ( tc_set @ ( tc_PropLog_Opl @ T_a ) ) ) @ T_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ T_a ) ))).
% 0.46/0.80 thf(zip_derived_cl0, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.46/0.80 (~ (c_in @ X0 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ X1 @ X2 @ (tc_set @ (tc_PropLog_Opl @ X3))) @ X3) @
% 0.46/0.80 (tc_PropLog_Opl @ X3))
% 0.46/0.80 | ~ (c_lessequals @ X1 @ X4 @ (tc_set @ (tc_PropLog_Opl @ X3)))
% 0.46/0.80 | (c_in @ X0 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ X4 @ X2 @ (tc_set @ (tc_PropLog_Opl @ X3))) @ X3) @
% 0.46/0.80 (tc_PropLog_Opl @ X3)))),
% 0.46/0.80 inference('cnf', [status(esa)], [cls_PropLog_ODiff__weaken__left_0])).
% 0.46/0.80 thf(zip_derived_cl18, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.46/0.80 (~ (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @
% 0.46/0.80 (c_PropLog_Ohyps @ X3 @ (c_insert @ X1 @ X2 @ X0) @ X0) @ X4 @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0))
% 0.46/0.80 | (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @
% 0.46/0.80 (c_insert @ (c_PropLog_Opl_Ovar @ X1 @ X0) @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ X3 @ X2 @ X0) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @
% 0.46/0.80 (c_PropLog_Opl_Ovar @ X1 @ X0) @ c_PropLog_Opl_Ofalse @ X0) @
% 0.46/0.80 c_emptyset @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 X4 @ (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.46/0.80 thf(cls_PropLog_Oinsert__Diff__subset2_0, axiom,
% 0.46/0.80 (c_lessequals @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 V_a @
% 0.46/0.80 ( c_minus @
% 0.46/0.80 V_B @ ( c_insert @ V_c @ c_emptyset @ T_a ) @ ( tc_set @ T_a ) ) @
% 0.46/0.80 T_a ) @
% 0.46/0.80 V_D @ ( tc_set @ T_a ) ) @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 V_a @
% 0.46/0.80 ( c_minus @ V_B @ ( c_insert @ V_c @ V_D @ T_a ) @ ( tc_set @ T_a ) ) @
% 0.46/0.80 T_a ) @
% 0.46/0.80 ( tc_set @ T_a ))).
% 0.46/0.80 thf(zip_derived_cl3, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.46/0.80 (c_lessequals @
% 0.46/0.80 (c_minus @
% 0.46/0.80 (c_insert @ X0 @
% 0.46/0.80 (c_minus @ X1 @ (c_insert @ X2 @ c_emptyset @ X3) @ (tc_set @ X3)) @
% 0.46/0.80 X3) @
% 0.46/0.80 X4 @ (tc_set @ X3)) @
% 0.46/0.80 (c_insert @ X0 @
% 0.46/0.80 (c_minus @ X1 @ (c_insert @ X2 @ X4 @ X3) @ (tc_set @ X3)) @ X3) @
% 0.46/0.80 (tc_set @ X3))),
% 0.46/0.80 inference('cnf', [status(esa)], [cls_PropLog_Oinsert__Diff__subset2_0])).
% 0.46/0.80 thf(zip_derived_cl5, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.46/0.80 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.46/0.80 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ (tc_PropLog_Opl @ X2)))
% 0.46/0.80 | (c_in @ X0 @ (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.46/0.80 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left_0])).
% 0.46/0.80 thf(zip_derived_cl21, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.46/0.80 (~ (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @
% 0.46/0.80 (c_insert @ X4 @
% 0.46/0.80 (c_minus @ X3 @
% 0.46/0.80 (c_insert @ X2 @ c_emptyset @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 X1 @ (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0))
% 0.46/0.80 | (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_insert @ X4 @
% 0.46/0.80 (c_minus @ X3 @ (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 0.46/0.80 thf(zip_derived_cl25, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.46/0.80 (~ (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @
% 0.46/0.80 (c_PropLog_Ohyps @ X4 @ (c_insert @ X2 @ X3 @ X0) @ X0) @ X1 @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0))
% 0.46/0.80 | (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_insert @ (c_PropLog_Opl_Ovar @ X2 @ X0) @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ X4 @ X3 @ X0) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X2 @ X0) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ X0) @
% 0.46/0.80 X1 @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl21])).
% 0.46/0.80 thf(cls_PropLog_Othms__excluded__middle__rule_0, axiom,
% 0.46/0.80 (( ~( c_in @
% 0.46/0.80 V_q @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_insert @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.46/0.80 ( ~( c_in @
% 0.46/0.80 V_q @
% 0.46/0.80 ( c_PropLog_Othms @
% 0.46/0.80 ( c_insert @
% 0.46/0.80 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ c_PropLog_Opl_Ofalse @ T_a ) @
% 0.46/0.80 V_H @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.46/0.80 T_a ) @
% 0.46/0.80 ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.46/0.80 ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.46/0.80 thf(zip_derived_cl4, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.46/0.80 (~ (c_in @ X0 @
% 0.46/0.80 (c_PropLog_Othms @ (c_insert @ X1 @ X2 @ (tc_PropLog_Opl @ X3)) @
% 0.46/0.80 X3) @
% 0.46/0.80 (tc_PropLog_Opl @ X3))
% 0.46/0.80 | ~ (c_in @ X0 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ X1 @ c_PropLog_Opl_Ofalse @ X3) @
% 0.46/0.80 X2 @ (tc_PropLog_Opl @ X3)) @
% 0.46/0.80 X3) @
% 0.46/0.80 (tc_PropLog_Opl @ X3))
% 0.46/0.80 | (c_in @ X0 @ (c_PropLog_Othms @ X2 @ X3) @ (tc_PropLog_Opl @ X3)))),
% 0.46/0.80 inference('cnf', [status(esa)],
% 0.46/0.80 [cls_PropLog_Othms__excluded__middle__rule_0])).
% 0.46/0.80 thf(zip_derived_cl28, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.46/0.80 (~ (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @
% 0.46/0.80 (c_PropLog_Ohyps @ X4 @ (c_insert @ X2 @ X3 @ X0) @ X0) @ X1 @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0))
% 0.46/0.80 | ~ (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X2 @ X0) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ X0) @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ X4 @ X3 @ X0) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @
% 0.46/0.80 (c_PropLog_Opl_Ovar @ X2 @ X0) @ c_PropLog_Opl_Ofalse @ X0) @
% 0.46/0.80 X1 @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0))
% 0.46/0.80 | (c_in @ X5 @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ X4 @ X3 @ X0) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X2 @ X0) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ X0) @
% 0.46/0.80 X1 @ (tc_PropLog_Opl @ X0)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.46/0.80 X0) @
% 0.46/0.80 (tc_PropLog_Opl @ X0)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl4])).
% 0.46/0.80 thf(zip_derived_cl29, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i]:
% 0.46/0.80 (~ (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X1 @ t_a) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ t_a) @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X0 @ t_a) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X1 @ t_a) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ t_a) @
% 0.46/0.80 v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a)) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a))
% 0.46/0.80 | (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X0 @ t_a) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X1 @ t_a) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ t_a) @
% 0.46/0.80 v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl28])).
% 0.46/0.80 thf(zip_derived_cl30, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i]:
% 0.46/0.80 (~ (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X1 @ t_a) @ v_F @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a))
% 0.46/0.80 | (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X1 @ t_a) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X0 @ t_a) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ t_a) @
% 0.46/0.80 v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a)))),
% 0.46/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl29])).
% 0.46/0.80 thf(zip_derived_cl6, plain,
% 0.46/0.80 (![X0 : $i]:
% 0.46/0.80 (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X0 @ t_a) @ v_F @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a))),
% 0.46/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.46/0.80 thf(zip_derived_cl32, plain,
% 0.46/0.80 (![X0 : $i, X1 : $i]:
% 0.46/0.80 (c_in @ v_p @
% 0.46/0.80 (c_PropLog_Othms @
% 0.46/0.80 (c_minus @ (c_PropLog_Ohyps @ v_p @ X1 @ t_a) @
% 0.46/0.80 (c_insert @
% 0.46/0.80 (c_PropLog_Opl_Oop_A_N_62 @ (c_PropLog_Opl_Ovar @ X0 @ t_a) @
% 0.46/0.80 c_PropLog_Opl_Ofalse @ t_a) @
% 0.46/0.80 v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.46/0.80 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.46/0.80 t_a) @
% 0.46/0.80 (tc_PropLog_Opl @ t_a))),
% 0.46/0.80 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 0.46/0.80 thf(zip_derived_cl36, plain, ($false),
% 0.46/0.80 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl32])).
% 0.46/0.80
% 0.46/0.80 % SZS output end Refutation
% 0.46/0.80
% 0.46/0.80
% 0.46/0.80 % Terminating...
% 0.46/0.87 % Runner terminated.
% 0.46/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------