%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL443-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.93M5ZxYsZm true
% Computer : n018.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 0.51s 1.00s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL443-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.93M5ZxYsZm true
% 0.13/0.37 % Computer : n018.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 : Sat Sep 5 18:48:34 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox2/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
% 0.44/0.66 % Total configuration time : 435
% 0.44/0.66 % Estimated wc time : 1092
% 0.44/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/1.00 % Solved by fo/fo6_bce.sh.
% 0.51/1.00 % BCE start: 9
% 0.51/1.00 % BCE eliminated: 0
% 0.51/1.00 % PE start: 9
% 0.51/1.00 logic: eq
% 0.51/1.00 % PE eliminated: 0
% 0.51/1.00 % done 466 iterations in 0.235s
% 0.51/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/1.00 % SZS output start Refutation
% 0.51/1.00 thf(c_PropLog_Opl_Ofalse_type, type, c_PropLog_Opl_Ofalse: $i).
% 0.51/1.00 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 0.51/1.00 thf(v_q_type, type, v_q: $i).
% 0.51/1.00 thf(c_PropLog_Opl_Oop_A_N_62_type, type, c_PropLog_Opl_Oop_A_N_62: $i > $i >
% 0.51/1.00 $i > $i).
% 0.51/1.00 thf(tc_PropLog_Opl_type, type, tc_PropLog_Opl: $i > $i).
% 0.51/1.00 thf(t_a_type, type, t_a: $i).
% 0.51/1.00 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 0.51/1.00 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.51/1.00 thf(v_p_type, type, v_p: $i).
% 0.51/1.00 thf(true_type, type, true: $i).
% 0.51/1.00 thf(v_H_type, type, v_H: $i).
% 0.51/1.00 thf(c_PropLog_Othms_type, type, c_PropLog_Othms: $i > $i > $i).
% 0.51/1.00 thf(cls_Set_OinsertCI_1, axiom,
% 0.51/1.00 (( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a ) = ( true ))).
% 0.51/1.00 thf(zip_derived_cl5, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/1.00 ((c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.51/1.00 thf(cls_PropLog_Othms_OH_0, axiom,
% 0.51/1.00 (( ifeq @
% 0.51/1.00 ( c_in @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ true @
% 0.51/1.00 ( c_in @
% 0.51/1.00 V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true ) =
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zip_derived_cl3, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/1.00 ((ifeq @ (c_in @ X0 @ X1 @ (tc_PropLog_Opl @ X2)) @ true @
% 0.51/1.00 (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_PropLog_Othms_OH_0])).
% 0.51/1.00 thf(zip_derived_cl23, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/1.00 ((ifeq @ true @ true @
% 0.51/1.00 (c_in @ X2 @
% 0.51/1.00 (c_PropLog_Othms @ (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @
% 0.51/1.00 X0) @
% 0.51/1.00 (tc_PropLog_Opl @ X0)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.51/1.00 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl26, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/1.00 ((true)
% 0.51/1.00 = (c_in @ X2 @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @ X0) @
% 0.51/1.00 (tc_PropLog_Opl @ X0)))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.51/1.00 thf(cls_conjecture_0, conjecture,
% 0.51/1.00 (( c_in @ v_p @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) !=
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.51/1.00 (( c_in @ v_p @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) =
% 0.51/1.00 ( true )),
% 0.51/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.51/1.00 thf(zip_derived_cl6, plain,
% 0.51/1.00 (((c_in @ v_p @ (c_PropLog_Othms @ v_H @ t_a) @ (tc_PropLog_Opl @ t_a))
% 0.51/1.00 = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/1.00 thf(cls_PropLog_Oweaken__left__insert_0, axiom,
% 0.51/1.00 (( ifeq @
% 0.51/1.00 ( c_in @
% 0.51/1.00 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true @
% 0.51/1.00 ( c_in @
% 0.51/1.00 V_p @
% 0.51/1.00 ( c_PropLog_Othms @
% 0.51/1.00 ( c_insert @ V_a @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.51/1.00 ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true ) =
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zip_derived_cl4, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ X0 @
% 0.51/1.00 (c_PropLog_Othms @ (c_insert @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 X2) @
% 0.51/1.00 (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__insert_0])).
% 0.51/1.00 thf(zip_derived_cl28, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((ifeq @ true @ true @
% 0.51/1.00 (c_in @ v_p @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl122, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((true)
% 0.51/1.00 = (c_in @ v_p @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 0.51/1.00 thf(cls_PropLog_Othms_OMP_0, axiom,
% 0.51/1.00 (( ifeq @
% 0.51/1.00 ( c_in @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.51/1.00 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true @
% 0.51/1.00 ( ifeq @
% 0.51/1.00 ( c_in @
% 0.51/1.00 V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true @
% 0.51/1.00 ( c_in @
% 0.51/1.00 V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true ) @
% 0.51/1.00 true ) =
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zip_derived_cl1, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X1 @ X2) @
% 0.51/1.00 (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true @
% 0.51/1.00 (ifeq @
% 0.51/1.00 (c_in @ X0 @ (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ X1 @ (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_PropLog_Othms_OMP_0])).
% 0.51/1.00 thf(zip_derived_cl127, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_p @ X1 @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true @
% 0.51/1.00 (ifeq @ true @ true @
% 0.51/1.00 (c_in @ X1 @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl134, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ v_p @ X1 @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ X1 @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl0])).
% 0.51/1.00 thf(zip_derived_cl379, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((ifeq @ true @ true @
% 0.51/1.00 (c_in @ X0 @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ (c_PropLog_Opl_Oop_A_N_62 @ v_p @ X0 @ t_a) @ v_H @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl134])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl1076, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((true)
% 0.51/1.00 = (c_in @ X0 @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ (c_PropLog_Opl_Oop_A_N_62 @ v_p @ X0 @ t_a) @ v_H @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl0])).
% 0.51/1.00 thf(cls_conjecture_1, conjecture,
% 0.51/1.00 (( c_in @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.51/1.00 ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) !=
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.51/1.00 (( c_in @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a ) @
% 0.51/1.00 ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) =
% 0.51/1.00 ( true )),
% 0.51/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.51/1.00 thf(zip_derived_cl7, plain,
% 0.51/1.00 (((c_in @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @ v_H @ t_a) @ (tc_PropLog_Opl @ t_a)) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/1.00 thf(zip_derived_cl4, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ X0 @
% 0.51/1.00 (c_PropLog_Othms @ (c_insert @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 X2) @
% 0.51/1.00 (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__insert_0])).
% 0.51/1.00 thf(zip_derived_cl27, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((ifeq @ true @ true @
% 0.51/1.00 (c_in @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl97, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((true)
% 0.51/1.00 = (c_in @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl0])).
% 0.51/1.00 thf(zip_derived_cl1, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X1 @ X2) @
% 0.51/1.00 (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true @
% 0.51/1.00 (ifeq @
% 0.51/1.00 (c_in @ X0 @ (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ X1 @ (c_PropLog_Othms @ X3 @ X2) @ (tc_PropLog_Opl @ X2)) @
% 0.51/1.00 true) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_PropLog_Othms_OMP_0])).
% 0.51/1.00 thf(zip_derived_cl158, plain,
% 0.51/1.00 (![X0 : $i]:
% 0.51/1.00 ((ifeq @ true @ true @
% 0.51/1.00 (ifeq @
% 0.51/1.00 (c_in @ v_q @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ c_PropLog_Opl_Ofalse @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ X0 @ v_H @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl1])).
% 0.51/1.00 thf(zip_derived_cl1221, plain,
% 0.51/1.00 (((ifeq @ true @ true @
% 0.51/1.00 (ifeq @ true @ true @
% 0.51/1.00 (c_in @ c_PropLog_Opl_Ofalse @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ (c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a) @ v_H @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)],
% 0.51/1.00 [zip_derived_cl1076, zip_derived_cl158])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl1226, plain,
% 0.51/1.00 (((c_in @ c_PropLog_Opl_Ofalse @
% 0.51/1.00 (c_PropLog_Othms @
% 0.51/1.00 (c_insert @ (c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a) @ v_H @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 t_a) @
% 0.51/1.00 (tc_PropLog_Opl @ t_a)) = (true))),
% 0.51/1.00 inference('demod', [status(thm)],
% 0.51/1.00 [zip_derived_cl1221, zip_derived_cl0, zip_derived_cl0])).
% 0.51/1.00 thf(cls_PropLog_Odeduction_0, axiom,
% 0.51/1.00 (( ifeq @
% 0.51/1.00 ( c_in @
% 0.51/1.00 V_q @
% 0.51/1.00 ( c_PropLog_Othms @
% 0.51/1.00 ( c_insert @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.51/1.00 ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true @
% 0.51/1.00 ( c_in @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.51/1.00 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @
% 0.51/1.00 true ) =
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zip_derived_cl2, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/1.00 ((ifeq @
% 0.51/1.00 (c_in @ X0 @
% 0.51/1.00 (c_PropLog_Othms @ (c_insert @ X1 @ X2 @ (tc_PropLog_Opl @ X3)) @
% 0.51/1.00 X3) @
% 0.51/1.00 (tc_PropLog_Opl @ X3)) @
% 0.51/1.00 true @
% 0.51/1.00 (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X1 @ X0 @ X3) @
% 0.51/1.00 (c_PropLog_Othms @ X2 @ X3) @ (tc_PropLog_Opl @ X3)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [cls_PropLog_Odeduction_0])).
% 0.51/1.00 thf(zip_derived_cl1316, plain,
% 0.51/1.00 (((ifeq @ true @ true @
% 0.51/1.00 (c_in @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a) @
% 0.51/1.00 c_PropLog_Opl_Ofalse @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @ v_H @ t_a) @ (tc_PropLog_Opl @ t_a)) @
% 0.51/1.00 true) = (true))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1226, zip_derived_cl2])).
% 0.51/1.00 thf(zip_derived_cl0, plain,
% 0.51/1.00 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.51/1.00 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.51/1.00 thf(zip_derived_cl1327, plain,
% 0.51/1.00 (((true)
% 0.51/1.00 = (c_in @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a) @
% 0.51/1.00 c_PropLog_Opl_Ofalse @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @ v_H @ t_a) @ (tc_PropLog_Opl @ t_a)))),
% 0.51/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1316, zip_derived_cl0])).
% 0.51/1.00 thf(cls_conjecture_2, conjecture,
% 0.51/1.00 (( c_in @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @
% 0.51/1.00 c_PropLog_Opl_Ofalse @ t_a ) @
% 0.51/1.00 ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) =
% 0.51/1.00 ( true ))).
% 0.51/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.51/1.00 (( c_in @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @
% 0.51/1.00 ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @
% 0.51/1.00 c_PropLog_Opl_Ofalse @ t_a ) @
% 0.51/1.00 ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) !=
% 0.51/1.00 ( true )),
% 0.51/1.00 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.51/1.00 thf(zip_derived_cl8, plain,
% 0.51/1.00 (((c_in @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @
% 0.51/1.00 (c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a) @
% 0.51/1.00 c_PropLog_Opl_Ofalse @ t_a) @
% 0.51/1.00 (c_PropLog_Othms @ v_H @ t_a) @ (tc_PropLog_Opl @ t_a)) != (true))),
% 0.51/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/1.00 thf(zip_derived_cl1328, plain, ($false),
% 0.51/1.00 inference('simplify_reflect-', [status(thm)],
% 0.51/1.00 [zip_derived_cl1327, zip_derived_cl8])).
% 0.51/1.00
% 0.51/1.00 % SZS output end Refutation
% 0.51/1.00
% 0.51/1.00
% 0.51/1.00 % Terminating...
% 2.96/1.06 % Runner terminated.
% 2.96/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------