TSTP Solution File: LCL442-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HofR1beQJp true
% Computer : n002.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 Aug 31 08:59:44 EDT 2023
% Result : Unsatisfiable 0.20s 0.76s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HofR1beQJp true
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 21:53:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % Solved by fo/fo6_bce.sh.
% 0.20/0.76 % BCE start: 12
% 0.20/0.76 % BCE eliminated: 0
% 0.20/0.76 % PE start: 12
% 0.20/0.76 logic: neq
% 0.20/0.76 % PE eliminated: 0
% 0.20/0.76 % done 48 iterations in 0.034s
% 0.20/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.76 % SZS output start Refutation
% 0.20/0.76 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.20/0.76 thf(c_PropLog_Opl_Oop_A_N_62_type, type, c_PropLog_Opl_Oop_A_N_62: $i > $i >
% 0.20/0.76 $i > $i).
% 0.20/0.76 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 0.20/0.76 thf(c_PropLog_Ohyps_type, type, c_PropLog_Ohyps: $i > $i > $i > $i).
% 0.20/0.76 thf(v_pl1_type, type, v_pl1: $i).
% 0.20/0.76 thf(t_a_type, type, t_a: $i).
% 0.20/0.76 thf(v_pl2_type, type, v_pl2: $i).
% 0.20/0.76 thf(tc_PropLog_Opl_type, type, tc_PropLog_Opl: $i > $i).
% 0.20/0.76 thf(c_PropLog_Othms_type, type, c_PropLog_Othms: $i > $i > $i).
% 0.20/0.76 thf(c_PropLog_Opl_Ofalse_type, type, c_PropLog_Opl_Ofalse: $i).
% 0.20/0.76 thf(c_PropLog_Oeval_type, type, c_PropLog_Oeval: $i > $i > $i > $o).
% 0.20/0.76 thf(v_tt_type, type, v_tt: $i).
% 0.20/0.76 thf(cls_PropLog_Oweaken__right_0, axiom,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.20/0.76 thf(zip_derived_cl11, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X3 @ X0 @ X2) @
% 0.20/0.76 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__right_0])).
% 0.20/0.76 thf(cls_PropLog_Oweaken__left__Un2_0, axiom,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 V_p @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @ V_A @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ T_a ) ))).
% 0.20/0.76 thf(zip_derived_cl10, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | (c_in @ X0 @
% 0.20/0.76 (c_PropLog_Othms @ (c_union @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.20/0.76 X2) @
% 0.20/0.76 (tc_PropLog_Opl @ X2)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un2_0])).
% 0.20/0.76 thf(cls_conjecture_5, conjecture,
% 0.20/0.76 (~( ( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) @
% 0.20/0.76 t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.20/0.76 ( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ) ))).
% 0.20/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) @
% 0.20/0.76 t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.20/0.76 ( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.20/0.76 thf(zip_derived_cl5, plain,
% 0.20/0.76 ((~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | ~ (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.76 thf(zip_derived_cl10, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | (c_in @ X0 @
% 0.20/0.76 (c_PropLog_Othms @ (c_union @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.20/0.76 X2) @
% 0.20/0.76 (tc_PropLog_Opl @ X2)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un2_0])).
% 0.20/0.76 thf(cls_PropLog_Oweaken__left__Un1_0, axiom,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 V_p @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @ V_G @ V_B @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ T_a ) ))).
% 0.20/0.76 thf(zip_derived_cl9, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | (c_in @ X0 @
% 0.20/0.76 (c_PropLog_Othms @ (c_union @ X1 @ X3 @ (tc_PropLog_Opl @ X2)) @
% 0.20/0.76 X2) @
% 0.20/0.76 (tc_PropLog_Opl @ X2)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un1_0])).
% 0.20/0.76 thf(cls_PropLog_Oimp__false_0, axiom,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.20/0.76 ( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ c_PropLog_Opl_Ofalse @ T_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.20/0.76 c_PropLog_Opl_Ofalse @ T_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.20/0.76 thf(zip_derived_cl8, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | ~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X3 @ c_PropLog_Opl_Ofalse @ X2) @
% 0.20/0.76 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X2) @
% 0.20/0.76 c_PropLog_Opl_Ofalse @ X2) @
% 0.20/0.76 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Oimp__false_0])).
% 0.20/0.76 thf(cls_PropLog_Ofalse__imp_0, axiom,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ c_PropLog_Opl_Ofalse @ T_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.20/0.76 thf(zip_derived_cl7, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ c_PropLog_Opl_Ofalse @ X1) @
% 0.20/0.76 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1))
% 0.20/0.76 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X1) @
% 0.20/0.76 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Ofalse__imp_0])).
% 0.20/0.76 thf(zip_derived_cl15, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.20/0.76 (~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X2 @ c_PropLog_Opl_Ofalse @ X0) @
% 0.20/0.76 (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0))
% 0.20/0.76 | ~ (c_in @ X3 @ (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0))
% 0.20/0.76 | (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X3 @ X2 @ X0) @ X4 @ X0) @
% 0.20/0.76 (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0)))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 0.20/0.76 thf(cls_conjecture_9, conjecture,
% 0.20/0.76 (~( ( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.20/0.76 ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.20/0.76 ( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.20/0.76 c_PropLog_Opl_Ofalse @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) @
% 0.20/0.76 t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ) ))).
% 0.20/0.76 thf(zf_stmt_1, negated_conjecture,
% 0.20/0.76 (( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.20/0.76 ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.20/0.76 ( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.20/0.76 c_PropLog_Opl_Ofalse @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) @
% 0.20/0.76 t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 0.20/0.76 thf(zip_derived_cl6, plain,
% 0.20/0.76 ((~ (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.20/0.76 | ~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.76 thf(zip_derived_cl9, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.20/0.76 | (c_in @ X0 @
% 0.20/0.76 (c_PropLog_Othms @ (c_union @ X1 @ X3 @ (tc_PropLog_Opl @ X2)) @
% 0.20/0.76 X2) @
% 0.20/0.76 (tc_PropLog_Opl @ X2)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__Un1_0])).
% 0.20/0.76 thf(cls_conjecture_4, conjecture,
% 0.20/0.76 (~( ( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) @
% 0.20/0.76 t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.20/0.76 ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ))).
% 0.20/0.76 thf(zf_stmt_2, negated_conjecture,
% 0.20/0.76 (( ~( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @
% 0.20/0.76 ( c_union @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @
% 0.20/0.76 ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) @
% 0.20/0.76 t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ) |
% 0.20/0.76 ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.20/0.76 thf(zip_derived_cl4, plain,
% 0.20/0.76 ((~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.76 thf(zip_derived_cl20, plain,
% 0.20/0.76 ((~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.20/0.76 thf(cls_conjecture_1, conjecture,
% 0.20/0.76 (~( ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.20/0.76 thf(zf_stmt_3, negated_conjecture,
% 0.20/0.76 (( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.20/0.76 thf(zip_derived_cl1, plain,
% 0.20/0.76 (( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.20/0.76 | (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.20/0.76 thf(zip_derived_cl7, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ c_PropLog_Opl_Ofalse @ X1) @
% 0.20/0.76 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1))
% 0.20/0.76 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X1) @
% 0.20/0.76 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Ofalse__imp_0])).
% 0.20/0.76 thf(zip_derived_cl12, plain,
% 0.20/0.76 (![X0 : $i]:
% 0.20/0.76 ( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.20/0.76 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ X0 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 0.20/0.76 thf(zip_derived_cl21, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)),
% 0.20/0.76 inference('clc', [status(thm)], [zip_derived_cl20, zip_derived_cl12])).
% 0.20/0.76 thf(zip_derived_cl23, plain,
% 0.20/0.76 (( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.20/0.76 | ~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 0.20/0.76 thf(zip_derived_cl25, plain,
% 0.20/0.76 ((~ (c_in @ v_pl1 @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | ~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl23])).
% 0.20/0.76 thf(zip_derived_cl38, plain,
% 0.20/0.76 ((~ (c_in @ v_pl1 @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | ~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl25])).
% 0.20/0.76 thf(cls_conjecture_0, conjecture,
% 0.20/0.76 (~( ( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 v_pl1 @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.20/0.76 thf(zf_stmt_4, negated_conjecture,
% 0.20/0.76 (( ~( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 v_pl1 @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.20/0.76 thf(zip_derived_cl0, plain,
% 0.20/0.76 ((~ (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)
% 0.20/0.76 | (c_in @ v_pl1 @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.20/0.76 thf(zip_derived_cl21, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a)),
% 0.20/0.76 inference('clc', [status(thm)], [zip_derived_cl20, zip_derived_cl12])).
% 0.20/0.76 thf(zip_derived_cl22, plain,
% 0.20/0.76 ( (c_in @ v_pl1 @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))),
% 0.20/0.76 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 0.20/0.76 thf(zip_derived_cl40, plain,
% 0.20/0.76 ((~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.20/0.76 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl22])).
% 0.20/0.76 thf(zip_derived_cl51, plain,
% 0.20/0.76 ((~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))
% 0.20/0.76 | (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl40])).
% 0.20/0.76 thf(cls_conjecture_3, conjecture,
% 0.20/0.76 (~( ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.20/0.76 thf(zf_stmt_5, negated_conjecture,
% 0.20/0.76 (( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 ( c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.20/0.76 thf(zip_derived_cl3, plain,
% 0.20/0.76 (( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.20/0.76 | (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.76 thf(zip_derived_cl7, plain,
% 0.20/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.76 (~ (c_in @
% 0.20/0.76 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ c_PropLog_Opl_Ofalse @ X1) @
% 0.20/0.76 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1))
% 0.20/0.76 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X1) @
% 0.20/0.76 (c_PropLog_Othms @ X2 @ X1) @ (tc_PropLog_Opl @ X1)))),
% 0.20/0.76 inference('cnf', [status(esa)], [cls_PropLog_Ofalse__imp_0])).
% 0.20/0.76 thf(zip_derived_cl13, plain,
% 0.20/0.76 (![X0 : $i]:
% 0.20/0.76 ( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.20/0.76 | (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ X0 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.20/0.76 thf(zip_derived_cl55, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)),
% 0.20/0.76 inference('clc', [status(thm)], [zip_derived_cl51, zip_derived_cl13])).
% 0.20/0.76 thf(zip_derived_cl57, plain,
% 0.20/0.76 (~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @
% 0.20/0.76 (c_union @ (c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a) @
% 0.20/0.76 (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.20/0.76 t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))),
% 0.20/0.76 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 0.20/0.76 thf(zip_derived_cl59, plain,
% 0.20/0.76 (~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a) @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl57])).
% 0.20/0.76 thf(zip_derived_cl69, plain,
% 0.20/0.76 (~ (c_in @ v_pl2 @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))),
% 0.20/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl59])).
% 0.20/0.76 thf(cls_conjecture_2, conjecture,
% 0.20/0.76 (~( ( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 v_pl2 @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.20/0.76 thf(zf_stmt_6, negated_conjecture,
% 0.20/0.76 (( ~( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ) |
% 0.20/0.76 ( c_in @
% 0.20/0.76 v_pl2 @
% 0.20/0.76 ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @
% 0.20/0.76 ( tc_PropLog_Opl @ t_a ) )),
% 0.20/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.20/0.76 thf(zip_derived_cl2, plain,
% 0.20/0.76 ((~ (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)
% 0.20/0.76 | (c_in @ v_pl2 @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a)))),
% 0.20/0.76 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.20/0.76 thf(zip_derived_cl55, plain, ( (c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a)),
% 0.20/0.76 inference('clc', [status(thm)], [zip_derived_cl51, zip_derived_cl13])).
% 0.20/0.76 thf(zip_derived_cl56, plain,
% 0.20/0.76 ( (c_in @ v_pl2 @
% 0.20/0.76 (c_PropLog_Othms @ (c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a) @ t_a) @
% 0.20/0.76 (tc_PropLog_Opl @ t_a))),
% 0.20/0.76 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl55])).
% 0.20/0.76 thf(zip_derived_cl71, plain, ($false),
% 0.20/0.76 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl56])).
% 0.20/0.76
% 0.20/0.76 % SZS output end Refutation
% 0.20/0.76
% 0.20/0.76
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % Terminating...
% 1.61/0.82 % Runner terminated.
% 1.61/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------