%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG341-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fIZvt4wmNY true
% Computer : n003.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 04:28:38 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.90s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG341-1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fIZvt4wmNY true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 16:59:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.90 % Solved by fo/fo3_bce.sh.
% 0.58/0.90 % BCE start: 118
% 0.58/0.90 % BCE eliminated: 34
% 0.58/0.90 % PE start: 84
% 0.58/0.90 logic: eq
% 0.58/0.90 % PE eliminated: -15
% 0.58/0.90 % done 66 iterations in 0.138s
% 0.58/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.90 % SZS output start Refutation
% 0.58/0.90 thf(v_r_type, type, v_r: $i).
% 0.58/0.90 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 0.58/0.90 thf(class_RealVector_Oreal__normed__vector_type, type, class_RealVector_Oreal__normed__vector:
% 0.58/0.90 $i > $o).
% 0.58/0.90 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 0.58/0.90 $i > $i > $i).
% 0.58/0.90 thf(v_z_____type, type, v_z____: $i).
% 0.58/0.90 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.58/0.90 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 0.58/0.90 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 0.58/0.90 thf(cls_CHAINED_0_01, axiom,
% 0.58/0.90 (c_lessequals @
% 0.58/0.90 ( c_RealVector_Onorm__class_Onorm @ v_z____ @ tc_Complex_Ocomplex ) @
% 0.58/0.90 v_r @ tc_RealDef_Oreal)).
% 0.58/0.90 thf(zip_derived_cl103, plain,
% 0.58/0.90 ( (c_lessequals @
% 0.58/0.90 (c_RealVector_Onorm__class_Onorm @ v_z____ @ tc_Complex_Ocomplex) @
% 0.58/0.90 v_r @ tc_RealDef_Oreal)),
% 0.58/0.90 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/0.90 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom,
% 0.58/0.90 (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)).
% 0.58/0.90 thf(zip_derived_cl108, plain,
% 0.58/0.90 ( (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)),
% 0.58/0.90 inference('cnf', [status(esa)],
% 0.58/0.90 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector])).
% 0.58/0.90 thf(cls_norm__zero_0, axiom,
% 0.58/0.90 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 0.58/0.90 ( ( c_RealVector_Onorm__class_Onorm @
% 0.58/0.90 ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 0.58/0.90 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 0.58/0.90 thf(zip_derived_cl85, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 0.58/0.90 | ((c_RealVector_Onorm__class_Onorm @
% 0.58/0.90 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 0.58/0.90 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 0.58/0.90 inference('cnf', [status(esa)], [cls_norm__zero_0])).
% 0.58/0.90 thf(zip_derived_cl397, plain,
% 0.58/0.90 (((c_RealVector_Onorm__class_Onorm @
% 0.58/0.90 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 0.58/0.90 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 0.58/0.90 inference('dp-resolution', [status(thm)],
% 0.58/0.90 [zip_derived_cl108, zip_derived_cl85])).
% 0.58/0.90 thf(cls_real__le__linear_0, axiom,
% 0.58/0.90 (( c_lessequals @ V_w @ V_z @ tc_RealDef_Oreal ) |
% 0.58/0.90 ( c_lessequals @ V_z @ V_w @ tc_RealDef_Oreal ))).
% 0.58/0.90 thf(zip_derived_cl98, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 0.58/0.90 | (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal))),
% 0.58/0.90 inference('cnf', [status(esa)], [cls_real__le__linear_0])).
% 0.58/0.90 thf(cls_conjecture_0, conjecture,
% 0.58/0.90 (c_lessequals @
% 0.58/0.90 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_r @ tc_RealDef_Oreal)).
% 0.58/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.90 (~( c_lessequals @
% 0.58/0.90 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_r @
% 0.58/0.90 tc_RealDef_Oreal )),
% 0.58/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.58/0.90 thf(zip_derived_cl117, plain,
% 0.58/0.90 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_r @
% 0.58/0.90 tc_RealDef_Oreal)),
% 0.58/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.90 thf(zip_derived_cl684, plain,
% 0.58/0.90 ( (c_lessequals @ v_r @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 0.58/0.90 tc_RealDef_Oreal)),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl117])).
% 0.58/0.90 thf(cls_real__le__trans_0, axiom,
% 0.58/0.90 (( c_lessequals @ V_i @ V_k @ tc_RealDef_Oreal ) |
% 0.58/0.90 ( ~( c_lessequals @ V_j @ V_k @ tc_RealDef_Oreal ) ) |
% 0.58/0.90 ( ~( c_lessequals @ V_i @ V_j @ tc_RealDef_Oreal ) ))).
% 0.58/0.90 thf(zip_derived_cl100, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.90 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 0.58/0.90 | ~ (c_lessequals @ X2 @ X1 @ tc_RealDef_Oreal)
% 0.58/0.90 | ~ (c_lessequals @ X0 @ X2 @ tc_RealDef_Oreal))),
% 0.58/0.90 inference('cnf', [status(esa)], [cls_real__le__trans_0])).
% 0.58/0.90 thf(zip_derived_cl708, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (~ (c_lessequals @ X0 @ v_r @ tc_RealDef_Oreal)
% 0.58/0.90 | (c_lessequals @ X0 @
% 0.58/0.90 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl100])).
% 0.58/0.90 thf(zip_derived_cl108, plain,
% 0.58/0.90 ( (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)),
% 0.58/0.90 inference('cnf', [status(esa)],
% 0.58/0.90 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector])).
% 0.58/0.90 thf(cls_norm__le__zero__iff_0, axiom,
% 0.58/0.90 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 0.58/0.90 ( ( V_x ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 0.58/0.90 ( ~( c_lessequals @
% 0.58/0.90 ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) @
% 0.58/0.90 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ) ))).
% 0.58/0.90 thf(zip_derived_cl97, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 0.58/0.90 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0))
% 0.58/0.90 | ~ (c_lessequals @ (c_RealVector_Onorm__class_Onorm @ X1 @ X0) @
% 0.58/0.90 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 0.58/0.90 inference('cnf', [status(esa)], [cls_norm__le__zero__iff_0])).
% 0.58/0.90 thf(zip_derived_cl401, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (~ (c_lessequals @
% 0.58/0.90 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 0.58/0.90 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 0.58/0.90 | ((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.58/0.90 inference('dp-resolution', [status(thm)],
% 0.58/0.90 [zip_derived_cl108, zip_derived_cl97])).
% 0.58/0.90 thf(zip_derived_cl734, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (~ (c_lessequals @
% 0.58/0.90 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 0.58/0.90 v_r @ tc_RealDef_Oreal)
% 0.58/0.90 | ((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl708, zip_derived_cl401])).
% 0.58/0.90 thf(zip_derived_cl103, plain,
% 0.58/0.90 ( (c_lessequals @
% 0.58/0.90 (c_RealVector_Onorm__class_Onorm @ v_z____ @ tc_Complex_Ocomplex) @
% 0.58/0.90 v_r @ tc_RealDef_Oreal)),
% 0.58/0.90 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/0.90 thf(zip_derived_cl741, plain,
% 0.58/0.90 (((v_z____) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl734, zip_derived_cl103])).
% 0.58/0.90 thf(zip_derived_cl750, plain,
% 0.58/0.90 (((c_RealVector_Onorm__class_Onorm @ v_z____ @ tc_Complex_Ocomplex)
% 0.58/0.90 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 0.58/0.90 inference('demod', [status(thm)], [zip_derived_cl397, zip_derived_cl741])).
% 0.58/0.90 thf(zip_derived_cl117, plain,
% 0.58/0.90 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_r @
% 0.58/0.90 tc_RealDef_Oreal)),
% 0.58/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.90 thf(zip_derived_cl760, plain, ($false),
% 0.58/0.90 inference('demod', [status(thm)],
% 0.58/0.90 [zip_derived_cl103, zip_derived_cl750, zip_derived_cl117])).
% 0.58/0.90
% 0.58/0.90 % SZS output end Refutation
% 0.58/0.90
% 0.58/0.90
% 0.58/0.90 % Terminating...
% 0.63/0.97 % Runner terminated.
% 0.63/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------