%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dnc5CtJjWn true
% Computer : n019.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 01:37:23 PM UTC 2026
% Result : Unsatisfiable 9.82s 2.15s
% Output : Refutation 9.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dnc5CtJjWn true
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 5 09:26:53 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 % Running portfolio for 300 s
% 0.13/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.12.3
% 0.13/0.40 % Running in FO mode
% 0.46/0.69 % Total configuration time : 435
% 0.46/0.69 % Estimated wc time : 1092
% 0.46/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.82/2.15 % Solved by fo/fo6_bce.sh.
% 9.82/2.15 % BCE start: 413
% 9.82/2.15 % BCE eliminated: 32
% 9.82/2.15 % PE start: 381
% 9.82/2.15 logic: eq
% 9.82/2.15 % PE eliminated: 16
% 9.82/2.15 % done 729 iterations in 1.365s
% 9.82/2.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.82/2.15 % SZS output start Refutation
% 9.82/2.15 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 9.82/2.15 thf(v_x_type, type, v_x: $i).
% 9.82/2.15 thf(v_xa_type, type, v_xa: $i).
% 9.82/2.15 thf(c_Lambda_Obeta_type, type, c_Lambda_Obeta: $i).
% 9.82/2.15 thf(c_Transitive__Closure_Ortranclp_type, type, c_Transitive__Closure_Ortranclp:
% 9.82/2.15 $i > $i > $i).
% 9.82/2.15 thf(hBOOL_type, type, hBOOL: $i > $o).
% 9.82/2.15 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 9.82/2.15 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i).
% 9.82/2.15 thf(c_Type_Oshift_type, type, c_Type_Oshift: $i > $i).
% 9.82/2.15 thf(v_xb_type, type, v_xb: $i).
% 9.82/2.15 thf(v_a_____type, type, v_a____: $i).
% 9.82/2.15 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i).
% 9.82/2.15 thf(c_Type_Otyping_type, type, c_Type_Otyping: $i).
% 9.82/2.15 thf(v_xc_type, type, v_xc: $i).
% 9.82/2.15 thf(v_T_____type, type, v_T____: $i).
% 9.82/2.15 thf(tc_Type_Otype_type, type, tc_Type_Otype: $i).
% 9.82/2.15 thf(cls_conjecture_0, conjecture,
% 9.82/2.15 (~( hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 c_Type_Otyping @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @ ( c_Type_Oshift @ tc_Type_Otype ) @ v_x ) @ v_xc ) @
% 9.82/2.15 v_T____ ) ) @
% 9.82/2.15 v_a____ ) @
% 9.82/2.15 v_xa ) ))).
% 9.82/2.15 thf(zf_stmt_0, negated_conjecture,
% 9.82/2.15 (hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 c_Type_Otyping @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( c_Type_Oshift @ tc_Type_Otype ) @ v_x ) @ v_xc ) @
% 9.82/2.15 v_T____ ) ) @
% 9.82/2.15 v_a____ ) @
% 9.82/2.15 v_xa )),
% 9.82/2.15 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 9.82/2.15 thf(zip_derived_cl386, plain,
% 9.82/2.15 ( (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ c_Type_Otyping @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ (hAPP @ (c_Type_Oshift @ tc_Type_Otype) @ v_x) @ v_xc) @
% 9.82/2.15 v_T____)) @
% 9.82/2.15 v_a____) @
% 9.82/2.15 v_xa))),
% 9.82/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.82/2.15 thf(cls_subject__reduction_H_0, axiom,
% 9.82/2.15 (( hBOOL @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Type_Otyping @ V_e ) @ V_t_H ) @ V_T ) ) |
% 9.82/2.15 ( ~( hBOOL @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Type_Otyping @ V_e ) @ V_t ) @ V_T ) ) ) |
% 9.82/2.15 ( ~( hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( c_Transitive__Closure_Ortranclp @
% 9.82/2.15 c_Lambda_Obeta @ tc_Lambda_OdB ) @
% 9.82/2.15 V_t ) @
% 9.82/2.15 V_t_H ) ) ))).
% 9.82/2.15 thf(zip_derived_cl269, plain,
% 9.82/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.82/2.15 ( (hBOOL @ (hAPP @ (hAPP @ (hAPP @ c_Type_Otyping @ X0) @ X1) @ X2))
% 9.82/2.15 | ~ (hBOOL @ (hAPP @ (hAPP @ (hAPP @ c_Type_Otyping @ X0) @ X3) @ X2))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (c_Transitive__Closure_Ortranclp @ c_Lambda_Obeta @
% 9.82/2.15 tc_Lambda_OdB) @
% 9.82/2.15 X3) @
% 9.82/2.15 X1)))),
% 9.82/2.15 inference('cnf', [status(esa)], [cls_subject__reduction_H_0])).
% 9.82/2.15 thf(zip_derived_cl5393, plain,
% 9.82/2.15 (![X0 : $i]:
% 9.82/2.15 ( (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ c_Type_Otyping @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ (hAPP @ (c_Type_Oshift @ tc_Type_Otype) @ v_x) @ v_xc) @
% 9.82/2.15 v_T____)) @
% 9.82/2.15 X0) @
% 9.82/2.15 v_xa))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (c_Transitive__Closure_Ortranclp @ c_Lambda_Obeta @
% 9.82/2.15 tc_Lambda_OdB) @
% 9.82/2.15 v_a____) @
% 9.82/2.15 X0)))),
% 9.82/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl269])).
% 9.82/2.15 thf(cls_conjecture_2, conjecture,
% 9.82/2.15 (~( hBOOL @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Type_Otyping @ v_x ) @ v_xb ) @ v_T____ ) ))).
% 9.82/2.15 thf(zf_stmt_1, negated_conjecture,
% 9.82/2.15 (hBOOL @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Type_Otyping @ v_x ) @ v_xb ) @ v_T____ )),
% 9.82/2.15 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 9.82/2.15 thf(zip_derived_cl388, plain,
% 9.82/2.15 ( (hBOOL @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Type_Otyping @ v_x) @ v_xb) @ v_T____))),
% 9.82/2.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.82/2.15 thf(cls_conjecture_1, conjecture,
% 9.82/2.15 (~( hBOOL @ ( hAPP @ c_InductTermi_OIT @ v_xb ) ))).
% 9.82/2.15 thf(zf_stmt_2, negated_conjecture,
% 9.82/2.15 (hBOOL @ ( hAPP @ c_InductTermi_OIT @ v_xb )),
% 9.82/2.15 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 9.82/2.15 thf(zip_derived_cl387, plain, ( (hBOOL @ (hAPP @ c_InductTermi_OIT @ v_xb))),
% 9.82/2.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.82/2.15 thf(cls_Cons_I1_J_0, axiom,
% 9.82/2.15 (( hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 c_InductTermi_OIT @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_a____ ) @ V_u ) @ V_ia ) ) ) |
% 9.82/2.15 ( ~( hBOOL @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Type_Otyping @ V_ea ) @ V_u ) @ v_T____ ) ) ) |
% 9.82/2.15 ( ~( hBOOL @ ( hAPP @ c_InductTermi_OIT @ V_u ) ) ) |
% 9.82/2.15 ( ~( hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 c_Type_Otyping @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @ ( c_Type_Oshift @ tc_Type_Otype ) @ V_ea ) @ V_ia ) @
% 9.82/2.15 v_T____ ) ) @
% 9.82/2.15 v_a____ ) @
% 9.82/2.15 V_T_H ) ) ))).
% 9.82/2.15 thf(zip_derived_cl354, plain,
% 9.82/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.82/2.15 ( (hBOOL @
% 9.82/2.15 (hAPP @ c_InductTermi_OIT @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_a____) @ X0) @ X1)))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Type_Otyping @ X2) @ X0) @ v_T____))
% 9.82/2.15 | ~ (hBOOL @ (hAPP @ c_InductTermi_OIT @ X0))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ c_Type_Otyping @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ (hAPP @ (c_Type_Oshift @ tc_Type_Otype) @ X2) @ X1) @
% 9.82/2.15 v_T____)) @
% 9.82/2.15 v_a____) @
% 9.82/2.15 X3)))),
% 9.82/2.15 inference('cnf', [status(esa)], [cls_Cons_I1_J_0])).
% 9.82/2.15 thf(zip_derived_cl6446, plain,
% 9.82/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.82/2.15 ( (hBOOL @
% 9.82/2.15 (hAPP @ c_InductTermi_OIT @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_a____) @ v_xb) @ X0)))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Type_Otyping @ X1) @ v_xb) @ v_T____))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ c_Type_Otyping @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ (hAPP @ (c_Type_Oshift @ tc_Type_Otype) @ X1) @ X0) @
% 9.82/2.15 v_T____)) @
% 9.82/2.15 v_a____) @
% 9.82/2.15 X2)))),
% 9.82/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl354])).
% 9.82/2.15 thf(zip_derived_cl6534, plain,
% 9.82/2.15 (![X0 : $i, X1 : $i]:
% 9.82/2.15 ( (hBOOL @
% 9.82/2.15 (hAPP @ c_InductTermi_OIT @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_a____) @ v_xb) @ X0)))
% 9.82/2.15 | ~ (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ c_Type_Otyping @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @ (hAPP @ (c_Type_Oshift @ tc_Type_Otype) @ v_x) @ X0) @
% 9.82/2.15 v_T____)) @
% 9.82/2.15 v_a____) @
% 9.82/2.15 X1)))),
% 9.82/2.15 inference('s_sup-', [status(thm)],
% 9.82/2.15 [zip_derived_cl388, zip_derived_cl6446])).
% 9.82/2.15 thf(zip_derived_cl6600, plain,
% 9.82/2.15 ((~ (hBOOL @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (hAPP @
% 9.82/2.15 (c_Transitive__Closure_Ortranclp @ c_Lambda_Obeta @ tc_Lambda_OdB) @
% 9.82/2.15 v_a____) @
% 9.82/2.15 v_a____))
% 9.82/2.15 | (hBOOL @
% 9.82/2.15 (hAPP @ c_InductTermi_OIT @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_a____) @ v_xb) @ v_xc))))),
% 9.82/2.15 inference('s_sup-', [status(thm)],
% 9.82/2.15 [zip_derived_cl5393, zip_derived_cl6534])).
% 9.82/2.15 thf(cls_Nitpick_Ortranclp__def_1, axiom,
% 9.82/2.15 (hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @ ( c_Transitive__Closure_Ortranclp @ V_r @ T_a ) @ V_x ) @ V_x ))).
% 9.82/2.15 thf(zip_derived_cl185, plain,
% 9.82/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.82/2.15 (hBOOL @
% 9.82/2.15 (hAPP @ (hAPP @ (c_Transitive__Closure_Ortranclp @ X0 @ X1) @ X2) @
% 9.82/2.15 X2))),
% 9.82/2.15 inference('cnf', [status(esa)], [cls_Nitpick_Ortranclp__def_1])).
% 9.82/2.15 thf(cls_conjecture_3, conjecture,
% 9.82/2.15 (hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 c_InductTermi_OIT @
% 9.82/2.15 ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_a____ ) @ v_xb ) @ v_xc ) ))).
% 9.82/2.15 thf(zf_stmt_3, negated_conjecture,
% 9.82/2.15 (~( hBOOL @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 c_InductTermi_OIT @
% 9.82/2.15 ( hAPP @
% 9.82/2.15 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_a____ ) @ v_xb ) @ v_xc ) ) )),
% 9.82/2.15 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 9.82/2.15 thf(zip_derived_cl389, plain,
% 9.82/2.15 (~ (hBOOL @
% 9.82/2.15 (hAPP @ c_InductTermi_OIT @
% 9.82/2.15 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_a____) @ v_xb) @ v_xc)))),
% 9.82/2.15 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.82/2.15 thf(zip_derived_cl6603, plain, ($false),
% 9.82/2.15 inference('demod', [status(thm)],
% 9.82/2.15 [zip_derived_cl6600, zip_derived_cl185, zip_derived_cl389])).
% 9.82/2.15
% 9.82/2.15 % SZS output end Refutation
% 9.82/2.15
% 9.82/2.15
% 9.82/2.15 % Terminating...
% 9.11/2.18 % Runner terminated.
% 2.91/2.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------