%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA021-1 : 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.njJH8mlc8B true
% Computer : n031.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 04:28:51 PM UTC 2025
% Result : Unsatisfiable 52.58s 8.11s
% Output : Refutation 52.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA021-1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.njJH8mlc8B true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:21:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 52.58/8.11 % Solved by fo/fo6_bce.sh.
% 52.58/8.11 % BCE start: 2791
% 52.58/8.11 % BCE eliminated: 331
% 52.58/8.11 % PE start: 2460
% 52.58/8.11 logic: eq
% 52.58/8.11 % PE eliminated: -98
% 52.58/8.11 % done 5971 iterations in 7.385s
% 52.58/8.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.58/8.11 % SZS output start Refutation
% 52.58/8.11 thf(v_c_type, type, v_c: $i).
% 52.58/8.11 thf(c_Binomial_Obinomial_type, type, c_Binomial_Obinomial: $i > $i > $i).
% 52.58/8.11 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 52.58/8.11 thf(c_Suc_type, type, c_Suc: $i > $i).
% 52.58/8.11 thf(v_f_type, type, v_f: $i > $i).
% 52.58/8.11 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 52.58/8.11 thf(v_x_type, type, v_x: $i).
% 52.58/8.11 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 52.58/8.11 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 52.58/8.11 thf(v_h_type, type, v_h: $i > $i).
% 52.58/8.11 thf(tc_nat_type, type, tc_nat: $i).
% 52.58/8.11 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 52.58/8.11 thf(c_1_type, type, c_1: $i).
% 52.58/8.11 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 52.58/8.11 thf(t_a_type, type, t_a: $i).
% 52.58/8.11 thf(c_0_type, type, c_0: $i).
% 52.58/8.11 thf(cls_Nat_Onot__gr0_0, axiom,
% 52.58/8.11 (( c_less @ c_0 @ V_n @ tc_nat ) | ( ( V_n ) = ( c_0 ) ))).
% 52.58/8.11 thf(zip_derived_cl982, plain,
% 52.58/8.11 (![X0 : $i]: ( (c_less @ c_0 @ X0 @ tc_nat) | ((X0) = (c_0)))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Nat_Onot__gr0_0])).
% 52.58/8.11 thf(cls_Nat_OSuc__pred_0, axiom,
% 52.58/8.11 (( ~( c_less @ c_0 @ V_y @ tc_nat ) ) |
% 52.58/8.11 ( ( c_Suc @ ( c_minus @ V_y @ ( c_Suc @ c_0 ) @ tc_nat ) ) = ( V_y ) ))).
% 52.58/8.11 thf(zip_derived_cl917, plain,
% 52.58/8.11 (![X0 : $i]:
% 52.58/8.11 (~ (c_less @ c_0 @ X0 @ tc_nat)
% 52.58/8.11 | ((c_Suc @ (c_minus @ X0 @ (c_Suc @ c_0) @ tc_nat)) = (X0)))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Nat_OSuc__pred_0])).
% 52.58/8.11 thf(cls_Nat_OOne__nat__def_0, axiom, (( c_1 ) = ( c_Suc @ c_0 ))).
% 52.58/8.11 thf(zip_derived_cl909, plain, (((c_1) = (c_Suc @ c_0))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Nat_OOne__nat__def_0])).
% 52.58/8.11 thf(cls_Binomial_Obinomial__n__0_0, axiom,
% 52.58/8.11 (( c_Binomial_Obinomial @ V_n @ c_0 ) = ( c_1 ))).
% 52.58/8.11 thf(zip_derived_cl57, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Binomial_Obinomial @ X0 @ c_0) = (c_1))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Binomial_Obinomial__n__0_0])).
% 52.58/8.11 thf(cls_Binomial_Obinomial__Suc__Suc_0, axiom,
% 52.58/8.11 (( c_Binomial_Obinomial @ ( c_Suc @ V_n ) @ ( c_Suc @ V_k ) ) =
% 52.58/8.11 ( c_plus @
% 52.58/8.11 ( c_Binomial_Obinomial @ V_n @ V_k ) @
% 52.58/8.11 ( c_Binomial_Obinomial @ V_n @ ( c_Suc @ V_k ) ) @ tc_nat ))).
% 52.58/8.11 thf(zip_derived_cl55, plain,
% 52.58/8.11 (![X0 : $i, X1 : $i]:
% 52.58/8.11 ((c_Binomial_Obinomial @ (c_Suc @ X0) @ (c_Suc @ X1))
% 52.58/8.11 = (c_plus @ (c_Binomial_Obinomial @ X0 @ X1) @
% 52.58/8.11 (c_Binomial_Obinomial @ X0 @ (c_Suc @ X1)) @ tc_nat))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Binomial_Obinomial__Suc__Suc_0])).
% 52.58/8.11 thf(zip_derived_cl26497, plain,
% 52.58/8.11 (![X0 : $i]:
% 52.58/8.11 ((c_Binomial_Obinomial @ (c_Suc @ X0) @ (c_Suc @ c_0))
% 52.58/8.11 = (c_plus @ c_1 @ (c_Binomial_Obinomial @ X0 @ (c_Suc @ c_0)) @
% 52.58/8.11 tc_nat))),
% 52.58/8.11 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl55])).
% 52.58/8.11 thf(zip_derived_cl909, plain, (((c_1) = (c_Suc @ c_0))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Nat_OOne__nat__def_0])).
% 52.58/8.11 thf(cls_Binomial_Obinomial__1_0, axiom,
% 52.58/8.11 (( c_Binomial_Obinomial @ V_y @ ( c_Suc @ c_0 ) ) = ( V_y ))).
% 52.58/8.11 thf(zip_derived_cl54, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Binomial_Obinomial @ X0 @ (c_Suc @ c_0)) = (X0))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Binomial_Obinomial__1_0])).
% 52.58/8.11 thf(zip_derived_cl909, plain, (((c_1) = (c_Suc @ c_0))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Nat_OOne__nat__def_0])).
% 52.58/8.11 thf(zip_derived_cl26477, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Binomial_Obinomial @ X0 @ c_1) = (X0))),
% 52.58/8.11 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl909])).
% 52.58/8.11 thf(zip_derived_cl909, plain, (((c_1) = (c_Suc @ c_0))),
% 52.58/8.11 inference('cnf', [status(esa)], [cls_Nat_OOne__nat__def_0])).
% 52.58/8.11 thf(zip_derived_cl26477, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Binomial_Obinomial @ X0 @ c_1) = (X0))),
% 52.58/8.11 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl909])).
% 52.58/8.11 thf(zip_derived_cl26499, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Suc @ X0) = (c_plus @ c_1 @ X0 @ tc_nat))),
% 52.58/8.11 inference('demod', [status(thm)],
% 52.58/8.11 [zip_derived_cl26497, zip_derived_cl909, zip_derived_cl26477,
% 52.58/8.11 zip_derived_cl909, zip_derived_cl26477])).
% 52.58/8.11 thf(zip_derived_cl34804, plain,
% 52.58/8.11 (![X0 : $i]:
% 52.58/8.11 (~ (c_less @ c_0 @ X0 @ tc_nat)
% 52.58/8.11 | ((c_plus @ c_1 @ (c_minus @ X0 @ c_1 @ tc_nat) @ tc_nat) = (X0)))),
% 52.58/8.11 inference('demod', [status(thm)],
% 52.58/8.11 [zip_derived_cl917, zip_derived_cl909, zip_derived_cl26499])).
% 52.58/8.11 thf(cls_conjecture_2, conjecture,
% 52.58/8.11 (~( c_lessequals @
% 52.58/8.11 ( c_HOL_Oabs @ ( v_f @ ( c_Suc @ V_U ) ) @ t_a ) @
% 52.58/8.11 ( c_times @
% 52.58/8.11 v_c @ ( c_HOL_Oabs @ ( v_h @ ( c_Suc @ V_U ) ) @ t_a ) @ t_a ) @
% 52.58/8.11 t_a ))).
% 52.58/8.11 thf(zf_stmt_0, negated_conjecture,
% 52.58/8.11 (c_lessequals @
% 52.58/8.11 ( c_HOL_Oabs @ ( v_f @ ( c_Suc @ V_U ) ) @ t_a ) @
% 52.58/8.11 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ ( c_Suc @ V_U ) ) @ t_a ) @ t_a ) @
% 52.58/8.11 t_a),
% 52.58/8.11 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 52.58/8.11 thf(zip_derived_cl2787, plain,
% 52.58/8.11 (![X0 : $i]:
% 52.58/8.11 (c_lessequals @ (c_HOL_Oabs @ (v_f @ (c_Suc @ X0)) @ t_a) @
% 52.58/8.11 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ (c_Suc @ X0)) @ t_a) @ t_a) @
% 52.58/8.11 t_a)),
% 52.58/8.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 52.58/8.11 thf(zip_derived_cl26499, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Suc @ X0) = (c_plus @ c_1 @ X0 @ tc_nat))),
% 52.58/8.11 inference('demod', [status(thm)],
% 52.58/8.11 [zip_derived_cl26497, zip_derived_cl909, zip_derived_cl26477,
% 52.58/8.11 zip_derived_cl909, zip_derived_cl26477])).
% 52.58/8.11 thf(zip_derived_cl26499, plain,
% 52.58/8.11 (![X0 : $i]: ((c_Suc @ X0) = (c_plus @ c_1 @ X0 @ tc_nat))),
% 52.58/8.11 inference('demod', [status(thm)],
% 52.58/8.11 [zip_derived_cl26497, zip_derived_cl909, zip_derived_cl26477,
% 52.58/8.11 zip_derived_cl909, zip_derived_cl26477])).
% 52.58/8.11 thf(zip_derived_cl53913, plain,
% 52.58/8.11 (![X0 : $i]:
% 52.58/8.11 (c_lessequals @
% 52.58/8.11 (c_HOL_Oabs @ (v_f @ (c_plus @ c_1 @ X0 @ tc_nat)) @ t_a) @
% 52.58/8.11 (c_times @ v_c @
% 52.58/8.11 (c_HOL_Oabs @ (v_h @ (c_plus @ c_1 @ X0 @ tc_nat)) @ t_a) @ t_a) @
% 52.58/8.11 t_a)),
% 52.58/8.11 inference('demod', [status(thm)],
% 52.58/8.11 [zip_derived_cl2787, zip_derived_cl26499, zip_derived_cl26499])).
% 52.58/8.11 thf(zip_derived_cl53929, plain,
% 52.58/8.11 (![X0 : $i]:
% 52.58/8.11 (~ (c_less @ c_0 @ X0 @ tc_nat)
% 52.58/8.11 | (c_lessequals @ (c_HOL_Oabs @ (v_f @ X0) @ t_a) @
% 52.58/8.11 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_a) @ t_a) @ t_a))),
% 52.58/8.11 inference('s_sup+', [status(thm)],
% 52.58/8.11 [zip_derived_cl34804, zip_derived_cl53913])).
% 52.58/8.11 thf(cls_conjecture_4, conjecture,
% 52.58/8.11 (c_lessequals @
% 52.58/8.11 ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 52.58/8.11 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a)).
% 52.58/8.11 thf(zf_stmt_1, negated_conjecture,
% 52.58/8.11 (~( c_lessequals @
% 52.58/8.11 ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 52.58/8.11 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a )),
% 52.58/8.11 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 52.58/8.11 thf(zip_derived_cl2789, plain,
% 52.58/8.11 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @
% 52.58/8.11 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a) @ t_a)),
% 52.58/8.11 inference('cnf', [status(esa)], [zf_stmt_1])).
% 52.58/8.11 thf(zip_derived_cl54176, plain, (~ (c_less @ c_0 @ v_x @ tc_nat)),
% 52.58/8.11 inference('s_sup-', [status(thm)],
% 52.58/8.11 [zip_derived_cl53929, zip_derived_cl2789])).
% 52.58/8.11 thf(zip_derived_cl54193, plain, (((v_x) = (c_0))),
% 52.58/8.11 inference('s_sup-', [status(thm)],
% 52.58/8.11 [zip_derived_cl982, zip_derived_cl54176])).
% 52.58/8.11 thf(cls_conjecture_3, conjecture, (( v_x ) = ( c_0 ))).
% 52.58/8.11 thf(zf_stmt_2, negated_conjecture, (( v_x ) != ( c_0 )),
% 52.58/8.11 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 52.58/8.11 thf(zip_derived_cl2788, plain, (((v_x) != (c_0))),
% 52.58/8.11 inference('cnf', [status(esa)], [zf_stmt_2])).
% 52.58/8.11 thf(zip_derived_cl54194, plain, ($false),
% 52.58/8.11 inference('simplify_reflect-', [status(thm)],
% 52.58/8.11 [zip_derived_cl54193, zip_derived_cl2788])).
% 52.58/8.11
% 52.58/8.11 % SZS output end Refutation
% 52.58/8.11
% 52.58/8.11
% 52.58/8.11 % Terminating...
% 52.58/8.17 % Runner terminated.
% 52.58/8.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------