%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL431-2 : 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.4ec2er5fxj true
% Computer : n001.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 0.48s 0.76s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL431-2 : 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.4ec2er5fxj true
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 17:28:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.45/0.67 % Total configuration time : 435
% 0.45/0.67 % Estimated wc time : 1092
% 0.45/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.76 % Solved by fo/fo6_bce.sh.
% 0.48/0.76 % BCE start: 4
% 0.48/0.76 % BCE eliminated: 0
% 0.48/0.76 % PE start: 4
% 0.48/0.76 logic: eq
% 0.48/0.76 % PE eliminated: 2
% 0.48/0.76 % done 3 iterations in 0.007s
% 0.48/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.76 % SZS output start Refutation
% 0.48/0.76 thf(c_PropLog_Osat_type, type, c_PropLog_Osat: $i > $i > $i > $o).
% 0.48/0.76 thf(v_p_type, type, v_p: $i).
% 0.48/0.76 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.48/0.76 thf(c_emptyset_type, type, c_emptyset: $i).
% 0.48/0.76 thf(c_PropLog_Othms_type, type, c_PropLog_Othms: $i > $i > $i).
% 0.48/0.76 thf(c_PropLog_Ohyps_type, type, c_PropLog_Ohyps: $i > $i > $i > $i).
% 0.48/0.76 thf(tc_PropLog_Opl_type, type, tc_PropLog_Opl: $i > $i).
% 0.48/0.76 thf(tc_set_type, type, tc_set: $i > $i).
% 0.48/0.76 thf(t_a_type, type, t_a: $i).
% 0.48/0.76 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.48/0.76 thf(cls_Set_ODiff__cancel_0, axiom,
% 0.48/0.76 (( c_minus @ V_A @ V_A @ ( tc_set @ T_a ) ) = ( c_emptyset ))).
% 0.48/0.76 thf(zip_derived_cl3, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 ((c_minus @ X0 @ X0 @ (tc_set @ X1)) = (c_emptyset))),
% 0.48/0.76 inference('cnf', [status(esa)], [cls_Set_ODiff__cancel_0])).
% 0.48/0.76 thf(cls_conjecture_0, conjecture,
% 0.48/0.76 (~( c_PropLog_Osat @ c_emptyset @ v_p @ t_a ))).
% 0.48/0.76 thf(zf_stmt_0, negated_conjecture, (c_PropLog_Osat @ c_emptyset @ v_p @ t_a),
% 0.48/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.48/0.76 thf(zip_derived_cl0, plain, ( (c_PropLog_Osat @ c_emptyset @ v_p @ t_a)),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.76 thf(cls_PropLog_Ocompleteness__0__lemma__dest_0, axiom,
% 0.48/0.76 (( ~( c_PropLog_Osat @ c_emptyset @ V_p @ T_a ) ) |
% 0.48/0.76 ( c_in @
% 0.48/0.76 V_p @
% 0.48/0.76 ( c_PropLog_Othms @
% 0.48/0.76 ( c_minus @
% 0.48/0.76 ( c_PropLog_Ohyps @ V_p @ V_U @ T_a ) @
% 0.48/0.76 ( c_PropLog_Ohyps @ V_p @ V_t0 @ T_a ) @
% 0.48/0.76 ( tc_set @ ( tc_PropLog_Opl @ T_a ) ) ) @
% 0.48/0.76 T_a ) @
% 0.48/0.76 ( tc_PropLog_Opl @ T_a ) ))).
% 0.48/0.76 thf(zip_derived_cl2, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (~ (c_PropLog_Osat @ c_emptyset @ X0 @ X1)
% 0.48/0.76 | (c_in @ X0 @
% 0.48/0.76 (c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ X0 @ X2 @ X1) @
% 0.48/0.76 (c_PropLog_Ohyps @ X0 @ X3 @ X1) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ X1))) @
% 0.48/0.76 X1) @
% 0.48/0.76 (tc_PropLog_Opl @ X1)))),
% 0.48/0.76 inference('cnf', [status(esa)],
% 0.48/0.76 [cls_PropLog_Ocompleteness__0__lemma__dest_0])).
% 0.48/0.76 thf(zip_derived_cl14, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (((c_emptyset) != (c_emptyset))
% 0.48/0.76 | ((v_p) != (X1))
% 0.48/0.76 | ((t_a) != (X0))
% 0.48/0.76 | (c_in @ X1 @
% 0.48/0.76 (c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ X1 @ X3 @ X0) @
% 0.48/0.76 (c_PropLog_Ohyps @ X1 @ X2 @ X0) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ X0))) @
% 0.48/0.76 X0) @
% 0.48/0.76 (tc_PropLog_Opl @ X0)))),
% 0.48/0.76 inference('dp-resolution', [status(thm)],
% 0.48/0.76 [zip_derived_cl0, zip_derived_cl2])).
% 0.48/0.76 thf(cls_conjecture_1, conjecture,
% 0.48/0.76 (c_in @
% 0.48/0.76 v_p @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ))).
% 0.48/0.76 thf(zf_stmt_1, negated_conjecture,
% 0.48/0.76 (~( c_in @
% 0.48/0.76 v_p @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )),
% 0.48/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (~ (c_in @ v_p @ (c_PropLog_Othms @ c_emptyset @ t_a) @
% 0.48/0.76 (tc_PropLog_Opl @ t_a))),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.76 thf(zip_derived_cl17, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (((X0) != (v_p))
% 0.48/0.76 | ((c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ X0 @ X3 @ X1) @
% 0.48/0.76 (c_PropLog_Ohyps @ X0 @ X2 @ X1) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ X1))) @
% 0.48/0.76 X1) != (c_PropLog_Othms @ c_emptyset @ t_a))
% 0.48/0.76 | ((tc_PropLog_Opl @ X1) != (tc_PropLog_Opl @ t_a))
% 0.48/0.76 | ((t_a) != (X1))
% 0.48/0.76 | ((v_p) != (X0))
% 0.48/0.76 | ((c_emptyset) != (c_emptyset)))),
% 0.48/0.76 inference('dp-resolution', [status(thm)],
% 0.48/0.76 [zip_derived_cl14, zip_derived_cl1])).
% 0.48/0.76 thf(zip_derived_cl18, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (((t_a) != (X1))
% 0.48/0.76 | ((tc_PropLog_Opl @ X1) != (tc_PropLog_Opl @ t_a))
% 0.48/0.76 | ((c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ X0 @ X3 @ X1) @
% 0.48/0.76 (c_PropLog_Ohyps @ X0 @ X2 @ X1) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ X1))) @
% 0.48/0.76 X1) != (c_PropLog_Othms @ c_emptyset @ t_a))
% 0.48/0.76 | ((X0) != (v_p)))),
% 0.48/0.76 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 0.48/0.76 thf(zip_derived_cl19, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (((X0) != (v_p))
% 0.48/0.76 | ((c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ X0 @ X2 @ t_a) @
% 0.48/0.76 (c_PropLog_Ohyps @ X0 @ X1 @ t_a) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.48/0.76 t_a) != (c_PropLog_Othms @ c_emptyset @ t_a))
% 0.48/0.76 | ((tc_PropLog_Opl @ t_a) != (tc_PropLog_Opl @ t_a)))),
% 0.48/0.76 inference('eq_res', [status(thm)], [zip_derived_cl18])).
% 0.48/0.76 thf(zip_derived_cl20, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (((c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ X0 @ X2 @ t_a) @
% 0.48/0.76 (c_PropLog_Ohyps @ X0 @ X1 @ t_a) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.48/0.76 t_a) != (c_PropLog_Othms @ c_emptyset @ t_a))
% 0.48/0.76 | ((X0) != (v_p)))),
% 0.48/0.76 inference('simplify', [status(thm)], [zip_derived_cl19])).
% 0.48/0.76 thf(zip_derived_cl21, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 ((c_PropLog_Othms @
% 0.48/0.76 (c_minus @ (c_PropLog_Ohyps @ v_p @ X1 @ t_a) @
% 0.48/0.76 (c_PropLog_Ohyps @ v_p @ X0 @ t_a) @
% 0.48/0.76 (tc_set @ (tc_PropLog_Opl @ t_a))) @
% 0.48/0.76 t_a) != (c_PropLog_Othms @ c_emptyset @ t_a))),
% 0.48/0.76 inference('eq_res', [status(thm)], [zip_derived_cl20])).
% 0.48/0.76 thf(zip_derived_cl22, plain,
% 0.48/0.76 (((c_PropLog_Othms @ c_emptyset @ t_a)
% 0.48/0.76 != (c_PropLog_Othms @ c_emptyset @ t_a))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl21])).
% 0.48/0.76 thf(zip_derived_cl23, plain, ($false),
% 0.48/0.76 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 0.48/0.76
% 0.48/0.76 % SZS output end Refutation
% 0.48/0.76
% 0.48/0.76
% 0.48/0.76 % Terminating...
% 0.48/0.79 % Runner terminated.
% 1.30/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------