%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA021-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aBv6lC0SM1 true
% Computer : n023.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 Oct 2 04:28:52 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.74s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ANA021-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aBv6lC0SM1 true
% 0.13/0.37 % Computer : n023.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 : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Oct 1 15:23:08 EDT 2025
% 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
% 0.13/0.37 % Number of cores: 8
% 0.13/0.38 % Python version: Python 3.6.8
% 0.13/0.38 % Running in FO mode
% 0.49/0.61 % Total configuration time : 435
% 0.49/0.61 % Estimated wc time : 1092
% 0.49/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % Solved by fo/fo6_bce.sh.
% 0.51/0.74 % BCE start: 5
% 0.51/0.74 % BCE eliminated: 0
% 0.51/0.74 % PE start: 5
% 0.51/0.74 logic: eq
% 0.51/0.74 % PE eliminated: 2
% 0.51/0.74 % done 4 iterations in 0.010s
% 0.51/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.74 % SZS output start Refutation
% 0.51/0.74 thf(c_Suc_type, type, c_Suc: $i > $i).
% 0.51/0.74 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.51/0.74 thf(v_h_type, type, v_h: $i > $i).
% 0.51/0.74 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.51/0.74 thf(c_0_type, type, c_0: $i).
% 0.51/0.74 thf(v_x_type, type, v_x: $i).
% 0.51/0.74 thf(v_c_type, type, v_c: $i).
% 0.51/0.74 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.51/0.74 thf(tc_nat_type, type, tc_nat: $i).
% 0.51/0.74 thf(t_a_type, type, t_a: $i).
% 0.51/0.74 thf(v_f_type, type, v_f: $i > $i).
% 0.51/0.74 thf(c_1_type, type, c_1: $i).
% 0.51/0.74 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.51/0.74 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.51/0.74 thf(cls_Nat_Onot__gr0_0, axiom,
% 0.51/0.74 (( c_less @ c_0 @ V_n @ tc_nat ) | ( ( V_n ) = ( c_0 ) ))).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i]: ( (c_less @ c_0 @ X0 @ tc_nat) | ((X0) = (c_0)))),
% 0.51/0.74 inference('cnf', [status(esa)], [cls_Nat_Onot__gr0_0])).
% 0.51/0.74 thf(cls_NatBin_OSuc__pred_H_0, axiom,
% 0.51/0.74 (( ~( c_less @ c_0 @ V_x @ tc_nat ) ) |
% 0.51/0.74 ( ( V_x ) = ( c_Suc @ ( c_minus @ V_x @ c_1 @ tc_nat ) ) ))).
% 0.51/0.74 thf(zip_derived_cl0, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (~ (c_less @ c_0 @ X0 @ tc_nat)
% 0.51/0.74 | ((X0) = (c_Suc @ (c_minus @ X0 @ c_1 @ tc_nat))))),
% 0.51/0.74 inference('cnf', [status(esa)], [cls_NatBin_OSuc__pred_H_0])).
% 0.51/0.74 thf(zip_derived_cl18, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 (((c_0) != (c_0))
% 0.51/0.74 | ((X0) != (X1))
% 0.51/0.74 | ((tc_nat) != (tc_nat))
% 0.51/0.74 | ((X0) = (c_0))
% 0.51/0.74 | ((X1) = (c_Suc @ (c_minus @ X1 @ c_1 @ tc_nat))))),
% 0.51/0.74 inference('dp-resolution', [status(thm)],
% 0.51/0.74 [zip_derived_cl1, zip_derived_cl0])).
% 0.51/0.74 thf(zip_derived_cl20, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 (((X1) = (c_Suc @ (c_minus @ X1 @ c_1 @ tc_nat)))
% 0.51/0.74 | ((X0) = (c_0))
% 0.51/0.74 | ((X0) != (X1)))),
% 0.51/0.74 inference('simplify', [status(thm)], [zip_derived_cl18])).
% 0.51/0.74 thf(zip_derived_cl21, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (((X0) = (c_0)) | ((X0) = (c_Suc @ (c_minus @ X0 @ c_1 @ tc_nat))))),
% 0.51/0.74 inference('eq_res', [status(thm)], [zip_derived_cl20])).
% 0.51/0.74 thf(cls_conjecture_2, conjecture,
% 0.51/0.74 (~( c_lessequals @
% 0.51/0.74 ( c_HOL_Oabs @ ( v_f @ ( c_Suc @ V_U ) ) @ t_a ) @
% 0.51/0.74 ( c_times @
% 0.51/0.74 v_c @ ( c_HOL_Oabs @ ( v_h @ ( c_Suc @ V_U ) ) @ t_a ) @ t_a ) @
% 0.51/0.74 t_a ))).
% 0.51/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.74 (c_lessequals @
% 0.51/0.74 ( c_HOL_Oabs @ ( v_f @ ( c_Suc @ V_U ) ) @ t_a ) @
% 0.51/0.74 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ ( c_Suc @ V_U ) ) @ t_a ) @ t_a ) @
% 0.51/0.74 t_a),
% 0.51/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.51/0.74 thf(zip_derived_cl2, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (c_lessequals @ (c_HOL_Oabs @ (v_f @ (c_Suc @ X0)) @ t_a) @
% 0.51/0.74 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ (c_Suc @ X0)) @ t_a) @ t_a) @
% 0.51/0.74 t_a)),
% 0.51/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.74 thf(cls_conjecture_4, conjecture,
% 0.51/0.74 (c_lessequals @
% 0.51/0.74 ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 0.51/0.74 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a)).
% 0.51/0.74 thf(zf_stmt_1, negated_conjecture,
% 0.51/0.74 (~( c_lessequals @
% 0.51/0.74 ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 0.51/0.74 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a )),
% 0.51/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.51/0.74 thf(zip_derived_cl4, plain,
% 0.51/0.74 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @
% 0.51/0.74 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a) @ t_a)),
% 0.51/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.74 thf(zip_derived_cl15, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (((c_HOL_Oabs @ (v_f @ (c_Suc @ X0)) @ t_a)
% 0.51/0.74 != (c_HOL_Oabs @ (v_f @ v_x) @ t_a))
% 0.51/0.74 | ((c_times @ v_c @ (c_HOL_Oabs @ (v_h @ (c_Suc @ X0)) @ t_a) @ t_a)
% 0.51/0.74 != (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a))
% 0.51/0.74 | ((t_a) != (t_a)))),
% 0.51/0.74 inference('dp-resolution', [status(thm)],
% 0.51/0.74 [zip_derived_cl2, zip_derived_cl4])).
% 0.51/0.74 thf(zip_derived_cl19, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (((c_times @ v_c @ (c_HOL_Oabs @ (v_h @ (c_Suc @ X0)) @ t_a) @ t_a)
% 0.51/0.74 != (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a))
% 0.51/0.74 | ((c_HOL_Oabs @ (v_f @ (c_Suc @ X0)) @ t_a)
% 0.51/0.74 != (c_HOL_Oabs @ (v_f @ v_x) @ t_a)))),
% 0.51/0.74 inference('simplify', [status(thm)], [zip_derived_cl15])).
% 0.51/0.74 thf(zip_derived_cl22, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (((X0) = (c_0))
% 0.51/0.74 | ((c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_a) @ t_a)
% 0.51/0.74 != (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a))
% 0.51/0.74 | ((c_HOL_Oabs @ (v_f @ X0) @ t_a)
% 0.51/0.74 != (c_HOL_Oabs @ (v_f @ v_x) @ t_a)))),
% 0.51/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl19])).
% 0.51/0.74 thf(zip_derived_cl23, plain,
% 0.51/0.74 ((((c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)
% 0.51/0.74 != (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a))
% 0.51/0.74 | ((v_x) = (c_0)))),
% 0.51/0.74 inference('eq_res', [status(thm)], [zip_derived_cl22])).
% 0.51/0.74 thf(zip_derived_cl24, plain, (((v_x) = (c_0))),
% 0.51/0.74 inference('simplify', [status(thm)], [zip_derived_cl23])).
% 0.51/0.74 thf(cls_conjecture_3, conjecture, (( v_x ) = ( c_0 ))).
% 0.51/0.74 thf(zf_stmt_2, negated_conjecture, (( v_x ) != ( c_0 )),
% 0.51/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.51/0.74 thf(zip_derived_cl3, plain, (((v_x) != (c_0))),
% 0.51/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/0.74 thf(zip_derived_cl25, plain, ($false),
% 0.51/0.74 inference('simplify_reflect-', [status(thm)],
% 0.51/0.74 [zip_derived_cl24, zip_derived_cl3])).
% 0.51/0.74
% 0.51/0.74 % SZS output end Refutation
% 0.51/0.74
% 0.51/0.74
% 0.51/0.74 % Terminating...
% 0.53/0.83 % Runner terminated.
% 0.53/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------