%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL442-2 : 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.DmdrhfcBXI true
% Computer : n031.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 01:35:58 PM UTC 2026
% Result : Unsatisfiable 0.49s 0.86s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DmdrhfcBXI true
% 0.08/0.36 % Computer : n031.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 20:37:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Running portfolio for 300 s
% 0.08/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Number of cores: 8
% 0.08/0.37 % Python version: Python 3.12.3
% 0.08/0.37 % Running in FO mode
% 0.40/0.64 % Total configuration time : 435
% 0.40/0.64 % Estimated wc time : 1092
% 0.40/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.86 % Solved by fo/fo4.sh.
% 0.49/0.86 % done 111 iterations in 0.052s
% 0.49/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.86 % SZS output start Refutation
% 0.49/0.86 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.49/0.86 thf(c_PropLog_Opl_Oop_A_N_62_type, type, c_PropLog_Opl_Oop_A_N_62: $i > $i >
% 0.49/0.86 $i > $i).
% 0.49/0.86 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 0.49/0.86 thf(c_PropLog_Ohyps_type, type, c_PropLog_Ohyps: $i > $i > $i > $i).
% 0.49/0.86 thf(v_pl1_type, type, v_pl1: $i).
% 0.49/0.86 thf(t_a_type, type, t_a: $i).
% 0.49/0.86 thf(v_pl2_type, type, v_pl2: $i).
% 0.49/0.86 thf(tc_PropLog_Opl_type, type, tc_PropLog_Opl: $i > $i).
% 0.49/0.86 thf(c_PropLog_Othms_type, type, c_PropLog_Othms: $i > $i > $i).
% 0.49/0.86 thf(c_PropLog_Opl_Ofalse_type, type, c_PropLog_Opl_Ofalse: $i).
% 0.49/0.86 thf(c_PropLog_Oeval_type, type, c_PropLog_Oeval: $i > $i > $i > $o).
% 0.49/0.86 thf(v_tt_type, type, v_tt: $i).
% 0.49/0.86 thf(cls_PropLog_Oweaken__right_0, axiom,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.49/0.86 thf(zip_derived_cl11, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X3 @ X0 @ X2) @
% 0.49/0.86 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__right_0])).
% 0.49/0.86 thf(cls_PropLog_Oweaken__left__Un2_0, axiom,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 V_p @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @ V_A @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ T_a ) ))).
% 0.49/0.86 thf(zip_derived_cl10, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | (c_in @ X0 @
% 0.49/0.86 (c_PropLog_Othms @ (c_union @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.49/0.86 X2) @
% 0.49/0.86 (tc_PropLog_Opl @ X2)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un2_0])).
% 0.49/0.86 thf(cls_conjecture_5, conjecture,
% 0.49/0.86 (~( ( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) @
% 0.49/0.86 t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.49/0.86 ( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ) ))).
% 0.49/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) @
% 0.49/0.86 t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.49/0.86 ( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.49/0.86 thf(zip_derived_cl5, plain,
% 0.49/0.86 ((~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | ~ (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.86 thf(cls_PropLog_Oweaken__left__Un1_0, axiom,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 V_p @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @ V_G @ V_B @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ T_a ) ))).
% 0.49/0.86 thf(zip_derived_cl9, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | (c_in @ X0 @
% 0.49/0.86 (c_PropLog_Othms @ (c_union @ X1 @ X3 @ (tc_PropLog_Opl @ X2)) @
% 0.49/0.86 X2) @
% 0.49/0.86 (tc_PropLog_Opl @ X2)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un1_0])).
% 0.49/0.86 thf(cls_PropLog_Oimp__false_0, axiom,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.49/0.86 ( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ c_PropLog_Opl_Ofalse @ T_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.49/0.86 c_PropLog_Opl_Ofalse @ T_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.49/0.86 thf(zip_derived_cl8, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | ~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X3 @ c_PropLog_Opl_Ofalse @ X2) @
% 0.49/0.86 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X2) @
% 0.49/0.86 c_PropLog_Opl_Ofalse @ X2) @
% 0.49/0.86 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Oimp__false_0])).
% 0.49/0.86 thf(cls_PropLog_Ofalse__imp_0, axiom,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ c_PropLog_Opl_Ofalse @ T_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.49/0.86 thf(zip_derived_cl7, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ c_PropLog_Opl_Ofalse @ X1) @
% 0.49/0.86 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1))
% 0.49/0.86 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X1) @
% 0.49/0.86 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Ofalse__imp_0])).
% 0.49/0.86 thf(zip_derived_cl80, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.86 (~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X2 @ c_PropLog_Opl_Ofalse @ X0) @
% 0.49/0.86 (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0))
% 0.49/0.86 | ~ (c_in @ X3 @ (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0))
% 0.49/0.86 | (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X3 @ X2 @ X0) @ X4 @ X0) @
% 0.49/0.86 (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0)))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 0.49/0.86 thf(cls_conjecture_9, conjecture,
% 0.49/0.86 (~( ( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.49/0.86 ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.49/0.86 ( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.49/0.86 c_PropLog_Opl_Ofalse @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) @
% 0.49/0.86 t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ) ))).
% 0.49/0.86 thf(zf_stmt_1, negated_conjecture,
% 0.49/0.86 (( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.49/0.86 ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.49/0.86 ( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.49/0.86 c_PropLog_Opl_Ofalse @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) @
% 0.49/0.86 t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 0.49/0.86 thf(zip_derived_cl6, plain,
% 0.49/0.86 ((~ (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.49/0.86 | ~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 c_PropLog_Opl_Ofalse @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.86 thf(zip_derived_cl9, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | (c_in @ X0 @
% 0.49/0.86 (c_PropLog_Othms @ (c_union @ X1 @ X3 @ (tc_PropLog_Opl @ X2)) @
% 0.49/0.86 X2) @
% 0.49/0.86 (tc_PropLog_Opl @ X2)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un1_0])).
% 0.49/0.86 thf(cls_conjecture_4, conjecture,
% 0.49/0.86 (~( ( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) @
% 0.49/0.86 t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.49/0.86 ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ))).
% 0.49/0.86 thf(zf_stmt_2, negated_conjecture,
% 0.49/0.86 (( ~( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @
% 0.49/0.86 ( c_union @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.49/0.86 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) @
% 0.49/0.86 t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.49/0.86 ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.49/0.86 thf(zip_derived_cl4, plain,
% 0.49/0.86 ((~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.49/0.86 thf(zip_derived_cl16, plain,
% 0.49/0.86 ((~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.49/0.86 thf(zip_derived_cl7, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ c_PropLog_Opl_Ofalse @ X1) @
% 0.49/0.86 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1))
% 0.49/0.86 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X1) @
% 0.49/0.86 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Ofalse__imp_0])).
% 0.49/0.86 thf(cls_conjecture_1, conjecture,
% 0.49/0.86 (~( ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.49/0.86 thf(zf_stmt_3, negated_conjecture,
% 0.49/0.86 (( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.49/0.86 thf(zip_derived_cl1, plain,
% 0.49/0.86 (( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.49/0.86 | (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.86 thf(zip_derived_cl43, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 ( (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ X0 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a))),
% 0.49/0.86 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 0.49/0.86 thf(zip_derived_cl56, plain,
% 0.49/0.86 (( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a))),
% 0.49/0.86 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl43])).
% 0.49/0.86 thf(zip_derived_cl57, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)),
% 0.49/0.86 inference('simplify', [status(thm)], [zip_derived_cl56])).
% 0.49/0.86 thf(zip_derived_cl60, plain,
% 0.49/0.86 (( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.49/0.86 | ~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 c_PropLog_Opl_Ofalse @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl57])).
% 0.49/0.86 thf(zip_derived_cl114, plain,
% 0.49/0.86 ((~ (c_in @ v_pl1 @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | ~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl60])).
% 0.49/0.86 thf(zip_derived_cl10, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.49/0.86 | (c_in @ X0 @
% 0.49/0.86 (c_PropLog_Othms @ (c_union @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.49/0.86 X2) @
% 0.49/0.86 (tc_PropLog_Opl @ X2)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un2_0])).
% 0.49/0.86 thf(zip_derived_cl126, plain,
% 0.49/0.86 (( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.49/0.86 | ~ (c_in @ v_pl1 @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | ~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl10])).
% 0.49/0.86 thf(zip_derived_cl7, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.86 (~ (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ c_PropLog_Opl_Ofalse @ X1) @
% 0.49/0.86 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1))
% 0.49/0.86 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X1) @
% 0.49/0.86 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1)))),
% 0.49/0.86 inference('cnf', [status(esa)], [cls_PropLog_Ofalse__imp_0])).
% 0.49/0.86 thf(cls_conjecture_3, conjecture,
% 0.49/0.86 (~( ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.49/0.86 thf(zf_stmt_4, negated_conjecture,
% 0.49/0.86 (( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.49/0.86 thf(zip_derived_cl3, plain,
% 0.49/0.86 (( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.49/0.86 | (c_in @
% 0.49/0.86 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.49/0.86 thf(zip_derived_cl44, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 ( (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ X0 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.49/0.86 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.49/0.86 thf(zip_derived_cl138, plain,
% 0.49/0.86 ((~ (c_in @ v_pl1 @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.49/0.86 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl44])).
% 0.49/0.86 thf(zip_derived_cl141, plain,
% 0.49/0.86 ((~ (c_in @ v_pl1 @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))
% 0.49/0.86 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl138])).
% 0.49/0.86 thf(cls_conjecture_0, conjecture,
% 0.49/0.86 (~( ( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 v_pl1 @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.49/0.86 thf(zf_stmt_5, negated_conjecture,
% 0.49/0.86 (( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 v_pl1 @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.49/0.86 thf(zip_derived_cl0, plain,
% 0.49/0.86 ((~ (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.49/0.86 | (c_in @ v_pl1 @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.86 thf(zip_derived_cl57, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)),
% 0.49/0.86 inference('simplify', [status(thm)], [zip_derived_cl56])).
% 0.49/0.86 thf(zip_derived_cl59, plain,
% 0.49/0.86 ( (c_in @ v_pl1 @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl57])).
% 0.49/0.86 thf(zip_derived_cl143, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl59])).
% 0.49/0.86 thf(zip_derived_cl146, plain,
% 0.49/0.86 (~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @
% 0.49/0.86 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.49/0.86 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.49/0.86 t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl143])).
% 0.49/0.86 thf(zip_derived_cl148, plain,
% 0.49/0.86 (~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl146])).
% 0.49/0.86 thf(zip_derived_cl155, plain,
% 0.49/0.86 (~ (c_in @ v_pl2 @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl148])).
% 0.49/0.86 thf(cls_conjecture_2, conjecture,
% 0.49/0.86 (~( ( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 v_pl2 @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.49/0.86 thf(zf_stmt_6, negated_conjecture,
% 0.49/0.86 (( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ) |
% 0.49/0.86 ( c_in @
% 0.49/0.86 v_pl2 @
% 0.49/0.86 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.49/0.86 ( tc_PropLog_Opl @ t_a ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.49/0.86 thf(zip_derived_cl2, plain,
% 0.49/0.86 ((~ (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.49/0.86 | (c_in @ v_pl2 @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a)))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.49/0.86 thf(zip_derived_cl143, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl59])).
% 0.49/0.86 thf(zip_derived_cl145, plain,
% 0.49/0.86 ( (c_in @ v_pl2 @
% 0.49/0.86 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.49/0.86 (tc_PropLog_Opl @ t_a))),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl143])).
% 0.49/0.86 thf(zip_derived_cl157, plain, ($false),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl145])).
% 0.49/0.86
% 0.49/0.86 % SZS output end Refutation
% 0.49/0.86
% 0.49/0.86
% 0.49/0.86 % Terminating...
% 0.49/0.89 % Runner terminated.
% 1.92/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------