TSTP Solution File: LCL834-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AG1p6Pb1dD true

% Computer : n011.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 Aug 31 09:02:18 EDT 2023

% Result   : Unsatisfiable 1.28s 1.17s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AG1p6Pb1dD true
% 0.13/0.34  % Computer : n011.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 04:12:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.66  % Total configuration time : 435
% 0.19/0.66  % Estimated wc time : 1092
% 0.19/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/1.17  % Solved by fo/fo4.sh.
% 1.28/1.17  % done 253 iterations in 0.387s
% 1.28/1.17  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/1.17  % SZS output start Refutation
% 1.28/1.17  thf(v_a_____type, type, v_a____: $i).
% 1.28/1.17  thf(hBOOL_type, type, hBOOL: $i > $o).
% 1.28/1.17  thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 1.28/1.17  thf(v_r_____type, type, v_r____: $i).
% 1.28/1.17  thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i).
% 1.28/1.17  thf(c_List_Olist_OCons_type, type, c_List_Olist_OCons: $i > $i > $i > $i).
% 1.28/1.17  thf(c_Lambda_OdB_OAbs_type, type, c_Lambda_OdB_OAbs: $i > $i).
% 1.28/1.17  thf(v_as_____type, type, v_as____: $i).
% 1.28/1.17  thf(c_Lambda_Obeta_type, type, c_Lambda_Obeta: $i).
% 1.28/1.17  thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 1.28/1.17  thf(tc_nat_type, type, tc_nat: $i).
% 1.28/1.17  thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 1.28/1.17  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 1.28/1.17  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 1.28/1.17  thf(cls_beta_0, axiom,
% 1.28/1.17    (hBOOL @
% 1.28/1.17     ( hAPP @
% 1.28/1.17       ( hAPP @
% 1.28/1.17         c_Lambda_Obeta @ 
% 1.28/1.17         ( hAPP @
% 1.28/1.17           ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ V_s ) ) @ V_t ) ) @ 
% 1.28/1.17       ( hAPP @
% 1.28/1.17         ( hAPP @ ( hAPP @ c_Lambda_Osubst @ V_s ) @ V_t ) @ 
% 1.28/1.17         ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ))).
% 1.28/1.17  thf(zip_derived_cl55, plain,
% 1.28/1.17      (![X0 : $i, X1 : $i]:
% 1.28/1.17          (hBOOL @ 
% 1.28/1.17           (hAPP @ 
% 1.28/1.17            (hAPP @ c_Lambda_Obeta @ 
% 1.28/1.17             (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ X0)) @ X1)) @ 
% 1.28/1.17            (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @ X1) @ 
% 1.28/1.17             (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 1.28/1.17      inference('cnf', [status(esa)], [cls_beta_0])).
% 1.28/1.17  thf(cls_apps__preserves__beta_0, axiom,
% 1.28/1.17    (( hBOOL @
% 1.28/1.17       ( hAPP @
% 1.28/1.17         ( hAPP @
% 1.28/1.17           c_Lambda_Obeta @ 
% 1.28/1.17           ( c_List_Ofoldl @
% 1.28/1.17             c_Lambda_OdB_OApp @ V_r @ V_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ 
% 1.28/1.17         ( c_List_Ofoldl @
% 1.28/1.17           c_Lambda_OdB_OApp @ V_s @ V_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) ) | 
% 1.28/1.17     ( ~( hBOOL @ ( hAPP @ ( hAPP @ c_Lambda_Obeta @ V_r ) @ V_s ) ) ))).
% 1.28/1.17  thf(zip_derived_cl56, plain,
% 1.28/1.17      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.17         ( (hBOOL @ 
% 1.28/1.17            (hAPP @ 
% 1.28/1.17             (hAPP @ c_Lambda_Obeta @ 
% 1.28/1.17              (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @ X1 @ tc_Lambda_OdB @ 
% 1.28/1.17               tc_Lambda_OdB)) @ 
% 1.28/1.17             (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @ X1 @ tc_Lambda_OdB @ 
% 1.28/1.17              tc_Lambda_OdB)))
% 1.28/1.17          | ~ (hBOOL @ (hAPP @ (hAPP @ c_Lambda_Obeta @ X0) @ X2)))),
% 1.28/1.17      inference('cnf', [status(esa)], [cls_apps__preserves__beta_0])).
% 1.28/1.17  thf(cls_dB_Osimps_I3_J_0, axiom,
% 1.28/1.17    (( ( c_Lambda_OdB_OAbs @ V_dB ) != ( c_Lambda_OdB_OAbs @ V_dB_H ) ) | 
% 1.28/1.17     ( ( V_dB ) = ( V_dB_H ) ))).
% 1.28/1.17  thf(zip_derived_cl57, plain,
% 1.28/1.17      (![X0 : $i, X1 : $i]:
% 1.28/1.17         (((c_Lambda_OdB_OAbs @ X1) != (c_Lambda_OdB_OAbs @ X0))
% 1.28/1.17          | ((X1) = (X0)))),
% 1.28/1.17      inference('cnf', [status(esa)], [cls_dB_Osimps_I3_J_0])).
% 1.28/1.17  thf(cls_conjecture_0, conjecture,
% 1.28/1.17    (hBOOL @
% 1.28/1.17     ( hAPP @
% 1.28/1.17       ( hAPP @
% 1.28/1.17         c_Lambda_Obeta @ 
% 1.28/1.17         ( c_List_Ofoldl @
% 1.28/1.17           c_Lambda_OdB_OApp @ 
% 1.28/1.17           ( hAPP @
% 1.28/1.17             ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ v_r____ ) ) @ 
% 1.28/1.17             v_a____ ) @ 
% 1.28/1.17           v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ 
% 1.28/1.17       ( c_List_Ofoldl @
% 1.28/1.17         c_Lambda_OdB_OApp @ 
% 1.28/1.17         ( hAPP @
% 1.28/1.17           ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r____ ) @ v_a____ ) @ 
% 1.28/1.17           ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ 
% 1.28/1.17         v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 1.28/1.17  thf(zf_stmt_0, negated_conjecture,
% 1.28/1.17    (~( hBOOL @
% 1.28/1.17        ( hAPP @
% 1.28/1.17          ( hAPP @
% 1.28/1.17            c_Lambda_Obeta @ 
% 1.28/1.17            ( c_List_Ofoldl @
% 1.28/1.17              c_Lambda_OdB_OApp @ 
% 1.28/1.17              ( hAPP @
% 1.28/1.17                ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ v_r____ ) ) @ 
% 1.28/1.17                v_a____ ) @ 
% 1.28/1.17              v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ 
% 1.28/1.17          ( c_List_Ofoldl @
% 1.28/1.17            c_Lambda_OdB_OApp @ 
% 1.28/1.17            ( hAPP @
% 1.28/1.17              ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r____ ) @ v_a____ ) @ 
% 1.28/1.17              ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ 
% 1.28/1.17            v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) )),
% 1.28/1.17    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.28/1.17  thf(zip_derived_cl64, plain,
% 1.28/1.17      (~ (hBOOL @ 
% 1.28/1.17          (hAPP @ 
% 1.28/1.17           (hAPP @ c_Lambda_Obeta @ 
% 1.28/1.17            (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17             (hAPP @ 
% 1.28/1.17              (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r____)) @ 
% 1.28/1.17              v_a____) @ 
% 1.28/1.17             v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)) @ 
% 1.28/1.17           (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17            (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @ 
% 1.28/1.17             (c_HOL_Ozero__class_Ozero @ tc_nat)) @ 
% 1.28/1.17            v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 1.28/1.17      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/1.17  thf(cls_foldl__Cons_0, axiom,
% 1.28/1.17    (( c_List_Ofoldl @
% 1.28/1.17       V_f @ V_a @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_a @ T_b ) =
% 1.28/1.17     ( c_List_Ofoldl @
% 1.28/1.17       V_f @ ( hAPP @ ( hAPP @ V_f @ V_a ) @ V_x ) @ V_xs @ T_a @ T_b ))).
% 1.28/1.17  thf(zip_derived_cl33, plain,
% 1.28/1.17      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/1.17         ((c_List_Ofoldl @ X0 @ X1 @ (c_List_Olist_OCons @ X2 @ X3 @ X5) @ 
% 1.28/1.17           X4 @ X5)
% 1.28/1.17           = (c_List_Ofoldl @ X0 @ (hAPP @ (hAPP @ X0 @ X1) @ X2) @ X3 @ X4 @ 
% 1.28/1.17              X5))),
% 1.28/1.17      inference('cnf', [status(esa)], [cls_foldl__Cons_0])).
% 1.28/1.17  thf(zip_derived_cl949, plain,
% 1.28/1.17      (~ (hBOOL @ 
% 1.28/1.17          (hAPP @ 
% 1.28/1.17           (hAPP @ c_Lambda_Obeta @ 
% 1.28/1.17            (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17             (c_Lambda_OdB_OAbs @ v_r____) @ 
% 1.28/1.17             (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @ 
% 1.28/1.17             tc_Lambda_OdB @ tc_Lambda_OdB)) @ 
% 1.28/1.17           (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17            (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @ 
% 1.28/1.17             (c_HOL_Ozero__class_Ozero @ tc_nat)) @ 
% 1.28/1.17            v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 1.28/1.17      inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl33])).
% 1.28/1.17  thf(zip_derived_cl1009, plain,
% 1.28/1.17      (![X0 : $i]:
% 1.28/1.17         (~ (hBOOL @ 
% 1.28/1.17             (hAPP @ (hAPP @ c_Lambda_Obeta @ X0) @ 
% 1.28/1.17              (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17               (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @ 
% 1.28/1.17                (c_HOL_Ozero__class_Ozero @ tc_nat)) @ 
% 1.28/1.17               v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)))
% 1.28/1.17          | ((c_Lambda_OdB_OAbs @ X0)
% 1.28/1.17              != (c_Lambda_OdB_OAbs @ 
% 1.28/1.17                  (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17                   (c_Lambda_OdB_OAbs @ v_r____) @ 
% 1.28/1.17                   (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @ 
% 1.28/1.17                   tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 1.28/1.17      inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl949])).
% 1.28/1.17  thf(zip_derived_cl1702, plain,
% 1.28/1.17      (![X0 : $i]:
% 1.28/1.17         (~ (hBOOL @ 
% 1.28/1.17             (hAPP @ (hAPP @ c_Lambda_Obeta @ X0) @ 
% 1.28/1.17              (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @ 
% 1.28/1.17               (c_HOL_Ozero__class_Ozero @ tc_nat))))
% 1.28/1.17          | ((c_Lambda_OdB_OAbs @ 
% 1.28/1.17              (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @ v_as____ @ 
% 1.28/1.17               tc_Lambda_OdB @ tc_Lambda_OdB))
% 1.28/1.17              != (c_Lambda_OdB_OAbs @ 
% 1.28/1.17                  (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17                   (c_Lambda_OdB_OAbs @ v_r____) @ 
% 1.28/1.17                   (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @ 
% 1.28/1.17                   tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 1.28/1.17      inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1009])).
% 1.28/1.17  thf(zip_derived_cl1883, plain,
% 1.28/1.17      (((c_Lambda_OdB_OAbs @ 
% 1.28/1.17         (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17          (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r____)) @ 
% 1.28/1.17           v_a____) @ 
% 1.28/1.17          v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB))
% 1.28/1.17         != (c_Lambda_OdB_OAbs @ 
% 1.28/1.17             (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17              (c_Lambda_OdB_OAbs @ v_r____) @ 
% 1.28/1.17              (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @ 
% 1.28/1.17              tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 1.28/1.17      inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1702])).
% 1.28/1.17  thf(zip_derived_cl33, plain,
% 1.28/1.17      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/1.17         ((c_List_Ofoldl @ X0 @ X1 @ (c_List_Olist_OCons @ X2 @ X3 @ X5) @ 
% 1.28/1.17           X4 @ X5)
% 1.28/1.17           = (c_List_Ofoldl @ X0 @ (hAPP @ (hAPP @ X0 @ X1) @ X2) @ X3 @ X4 @ 
% 1.28/1.17              X5))),
% 1.28/1.17      inference('cnf', [status(esa)], [cls_foldl__Cons_0])).
% 1.28/1.17  thf(zip_derived_cl1898, plain,
% 1.28/1.17      (((c_Lambda_OdB_OAbs @ 
% 1.28/1.17         (c_List_Ofoldl @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r____) @ 
% 1.28/1.17          (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @ 
% 1.28/1.17          tc_Lambda_OdB @ tc_Lambda_OdB))
% 1.28/1.17         != (c_Lambda_OdB_OAbs @ 
% 1.28/1.17             (c_List_Ofoldl @ c_Lambda_OdB_OApp @ 
% 1.28/1.17              (c_Lambda_OdB_OAbs @ v_r____) @ 
% 1.28/1.17              (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @ 
% 1.28/1.17              tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 1.28/1.17      inference('demod', [status(thm)], [zip_derived_cl1883, zip_derived_cl33])).
% 1.28/1.17  thf(zip_derived_cl1899, plain, ($false),
% 1.28/1.17      inference('simplify', [status(thm)], [zip_derived_cl1898])).
% 1.28/1.17  
% 1.28/1.17  % SZS output end Refutation
% 1.28/1.17  
% 1.28/1.17  
% 1.28/1.17  % Terminating...
% 4.48/1.28  % Runner terminated.
% 4.48/1.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------