TSTP Solution File: LCL753-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL753-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OXcSc38fT4 true
% Computer : n024.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 09:01:52 EDT 2023
% Result : Unsatisfiable 8.50s 1.81s
% Output : Refutation 8.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL753-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OXcSc38fT4 true
% 0.13/0.34 % Computer : n024.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 05:49:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 8.50/1.81 % Solved by fo/fo3_bce.sh.
% 8.50/1.81 % BCE start: 297
% 8.50/1.81 % BCE eliminated: 51
% 8.50/1.81 % PE start: 246
% 8.50/1.81 logic: eq
% 8.50/1.81 % PE eliminated: 0
% 8.50/1.81 % done 1177 iterations in 1.055s
% 8.50/1.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.50/1.81 % SZS output start Refutation
% 8.50/1.81 thf(c_Suc_type, type, c_Suc: $i > $i).
% 8.50/1.81 thf(v_ra_type, type, v_ra: $i).
% 8.50/1.81 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i > $o).
% 8.50/1.81 thf(v_ia_type, type, v_ia: $i).
% 8.50/1.81 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 8.50/1.81 thf(v_ja_type, type, v_ja: $i).
% 8.50/1.81 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 8.50/1.81 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i > $i > $i > $i).
% 8.50/1.81 thf(c_Lambda_OdB_OVar_type, type, c_Lambda_OdB_OVar: $i > $i).
% 8.50/1.81 thf(c_Lambda_OdB_OAbs_type, type, c_Lambda_OdB_OAbs: $i > $i).
% 8.50/1.81 thf(tc_nat_type, type, tc_nat: $i).
% 8.50/1.81 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 8.50/1.81 $i > $i).
% 8.50/1.81 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 8.50/1.81 thf(c_Lambda_Olift_type, type, c_Lambda_Olift: $i > $i > $i).
% 8.50/1.81 thf(cls_conjecture_2, conjecture,
% 8.50/1.81 (c_InductTermi_OIT @
% 8.50/1.81 ( c_Lambda_Osubst @
% 8.50/1.81 ( c_Lambda_OdB_OAbs @ v_ra ) @ ( c_Lambda_OdB_OVar @ v_ia ) @ v_ja ))).
% 8.50/1.81 thf(zf_stmt_0, negated_conjecture,
% 8.50/1.81 (~( c_InductTermi_OIT @
% 8.50/1.81 ( c_Lambda_Osubst @
% 8.50/1.81 ( c_Lambda_OdB_OAbs @ v_ra ) @ ( c_Lambda_OdB_OVar @ v_ia ) @ v_ja ) )),
% 8.50/1.81 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 8.50/1.81 thf(zip_derived_cl294, plain,
% 8.50/1.81 (~ (c_InductTermi_OIT @
% 8.50/1.81 (c_Lambda_Osubst @ (c_Lambda_OdB_OAbs @ v_ra) @
% 8.50/1.81 (c_Lambda_OdB_OVar @ v_ia) @ v_ja))),
% 8.50/1.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.50/1.81 thf(cls_subst__Abs_0, axiom,
% 8.50/1.81 (( c_Lambda_Osubst @ ( c_Lambda_OdB_OAbs @ V_t ) @ V_s @ V_k ) =
% 8.50/1.81 ( c_Lambda_OdB_OAbs @
% 8.50/1.81 ( c_Lambda_Osubst @
% 8.50/1.81 V_t @
% 8.50/1.81 ( c_Lambda_Olift @ V_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 8.50/1.81 ( c_HOL_Oplus__class_Oplus @
% 8.50/1.81 V_k @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) ))).
% 8.50/1.81 thf(zip_derived_cl232, plain,
% 8.50/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.50/1.81 ((c_Lambda_Osubst @ (c_Lambda_OdB_OAbs @ X0) @ X1 @ X2)
% 8.50/1.81 = (c_Lambda_OdB_OAbs @
% 8.50/1.81 (c_Lambda_Osubst @ X0 @
% 8.50/1.81 (c_Lambda_Olift @ X1 @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 8.50/1.81 (c_HOL_Oplus__class_Oplus @ X2 @
% 8.50/1.81 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_subst__Abs_0])).
% 8.50/1.81 thf(cls_One__nat__def_0, axiom,
% 8.50/1.81 (( c_HOL_Oone__class_Oone @ tc_nat ) =
% 8.50/1.81 ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 8.50/1.81 thf(zip_derived_cl11, plain,
% 8.50/1.81 (((c_HOL_Oone__class_Oone @ tc_nat)
% 8.50/1.81 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 8.50/1.81 thf(cls_Suc__eq__plus1_0, axiom,
% 8.50/1.81 (( c_Suc @ V_n ) =
% 8.50/1.81 ( c_HOL_Oplus__class_Oplus @
% 8.50/1.81 V_n @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ))).
% 8.50/1.81 thf(zip_derived_cl61, plain,
% 8.50/1.81 (![X0 : $i]:
% 8.50/1.81 ((c_Suc @ X0)
% 8.50/1.81 = (c_HOL_Oplus__class_Oplus @ X0 @
% 8.50/1.81 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 8.50/1.81 thf(zip_derived_cl11, plain,
% 8.50/1.81 (((c_HOL_Oone__class_Oone @ tc_nat)
% 8.50/1.81 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 8.50/1.81 thf(zip_derived_cl1151, plain,
% 8.50/1.81 (![X0 : $i]:
% 8.50/1.81 ((c_Suc @ X0)
% 8.50/1.81 = (c_HOL_Oplus__class_Oplus @ X0 @
% 8.50/1.81 (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @ tc_nat))),
% 8.50/1.81 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl11])).
% 8.50/1.81 thf(zip_derived_cl4380, plain,
% 8.50/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.50/1.81 ((c_Lambda_Osubst @ (c_Lambda_OdB_OAbs @ X0) @ X1 @ X2)
% 8.50/1.81 = (c_Lambda_OdB_OAbs @
% 8.50/1.81 (c_Lambda_Osubst @ X0 @
% 8.50/1.81 (c_Lambda_Olift @ X1 @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 8.50/1.81 (c_Suc @ X2))))),
% 8.50/1.81 inference('demod', [status(thm)],
% 8.50/1.81 [zip_derived_cl232, zip_derived_cl11, zip_derived_cl1151])).
% 8.50/1.81 thf(zip_derived_cl4381, plain,
% 8.50/1.81 (~ (c_InductTermi_OIT @
% 8.50/1.81 (c_Lambda_OdB_OAbs @
% 8.50/1.81 (c_Lambda_Osubst @ v_ra @
% 8.50/1.81 (c_Lambda_Olift @ (c_Lambda_OdB_OVar @ v_ia) @
% 8.50/1.81 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 8.50/1.81 (c_Suc @ v_ja))))),
% 8.50/1.81 inference('demod', [status(thm)], [zip_derived_cl294, zip_derived_cl4380])).
% 8.50/1.81 thf(cls_Lambda_0, axiom,
% 8.50/1.81 (( c_InductTermi_OIT @ ( c_Lambda_OdB_OAbs @ V_r ) ) |
% 8.50/1.81 ( ~( c_InductTermi_OIT @ V_r ) ))).
% 8.50/1.81 thf(zip_derived_cl290, plain,
% 8.50/1.81 (![X0 : $i]:
% 8.50/1.81 ( (c_InductTermi_OIT @ (c_Lambda_OdB_OAbs @ X0))
% 8.50/1.81 | ~ (c_InductTermi_OIT @ X0))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_Lambda_0])).
% 8.50/1.81 thf(zip_derived_cl4388, plain,
% 8.50/1.81 (~ (c_InductTermi_OIT @
% 8.50/1.81 (c_Lambda_Osubst @ v_ra @
% 8.50/1.81 (c_Lambda_Olift @ (c_Lambda_OdB_OVar @ v_ia) @
% 8.50/1.81 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 8.50/1.81 (c_Suc @ v_ja)))),
% 8.50/1.81 inference('sup+', [status(thm)], [zip_derived_cl4381, zip_derived_cl290])).
% 8.50/1.81 thf(cls_lift_Osimps_I1_J_1, axiom,
% 8.50/1.81 (( ( c_Lambda_Olift @ ( c_Lambda_OdB_OVar @ V_i ) @ V_k ) =
% 8.50/1.81 ( c_Lambda_OdB_OVar @
% 8.50/1.81 ( c_HOL_Oplus__class_Oplus @
% 8.50/1.81 V_i @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) ) |
% 8.50/1.81 ( c_HOL_Oord__class_Oless @ V_i @ V_k @ tc_nat ))).
% 8.50/1.81 thf(zip_derived_cl237, plain,
% 8.50/1.81 (![X0 : $i, X1 : $i]:
% 8.50/1.81 (((c_Lambda_Olift @ (c_Lambda_OdB_OVar @ X0) @ X1)
% 8.50/1.81 = (c_Lambda_OdB_OVar @
% 8.50/1.81 (c_HOL_Oplus__class_Oplus @ X0 @
% 8.50/1.81 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)))
% 8.50/1.81 | (c_HOL_Oord__class_Oless @ X0 @ X1 @ tc_nat))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_lift_Osimps_I1_J_1])).
% 8.50/1.81 thf(zip_derived_cl11, plain,
% 8.50/1.81 (((c_HOL_Oone__class_Oone @ tc_nat)
% 8.50/1.81 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 8.50/1.81 thf(zip_derived_cl1151, plain,
% 8.50/1.81 (![X0 : $i]:
% 8.50/1.81 ((c_Suc @ X0)
% 8.50/1.81 = (c_HOL_Oplus__class_Oplus @ X0 @
% 8.50/1.81 (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @ tc_nat))),
% 8.50/1.81 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl11])).
% 8.50/1.81 thf(zip_derived_cl1934, plain,
% 8.50/1.81 (![X0 : $i, X1 : $i]:
% 8.50/1.81 (((c_Lambda_Olift @ (c_Lambda_OdB_OVar @ X0) @ X1)
% 8.50/1.81 = (c_Lambda_OdB_OVar @ (c_Suc @ X0)))
% 8.50/1.81 | (c_HOL_Oord__class_Oless @ X0 @ X1 @ tc_nat))),
% 8.50/1.81 inference('demod', [status(thm)],
% 8.50/1.81 [zip_derived_cl237, zip_derived_cl11, zip_derived_cl1151])).
% 8.50/1.81 thf(cls_gr__implies__not0_0, axiom,
% 8.50/1.81 (~( c_HOL_Oord__class_Oless @
% 8.50/1.81 V_m @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ tc_nat ))).
% 8.50/1.81 thf(zip_derived_cl127, plain,
% 8.50/1.81 (![X0 : $i]:
% 8.50/1.81 ~ (c_HOL_Oord__class_Oless @ X0 @
% 8.50/1.81 (c_HOL_Ozero__class_Ozero @ tc_nat) @ tc_nat)),
% 8.50/1.81 inference('cnf', [status(esa)], [cls_gr__implies__not0_0])).
% 8.50/1.81 thf(zip_derived_cl1939, plain,
% 8.50/1.81 (![X0 : $i]:
% 8.50/1.81 ((c_Lambda_Olift @ (c_Lambda_OdB_OVar @ X0) @
% 8.50/1.81 (c_HOL_Ozero__class_Ozero @ tc_nat))
% 8.50/1.81 = (c_Lambda_OdB_OVar @ (c_Suc @ X0)))),
% 8.50/1.81 inference('sup-', [status(thm)], [zip_derived_cl1934, zip_derived_cl127])).
% 8.50/1.81 thf(cls_conjecture_1, conjecture,
% 8.50/1.81 (~( c_InductTermi_OIT @
% 8.50/1.81 ( c_Lambda_Osubst @ v_ra @ ( c_Lambda_OdB_OVar @ V_i ) @ V_j ) ))).
% 8.50/1.81 thf(zf_stmt_1, negated_conjecture,
% 8.50/1.81 (c_InductTermi_OIT @
% 8.50/1.81 ( c_Lambda_Osubst @ v_ra @ ( c_Lambda_OdB_OVar @ V_i ) @ V_j )),
% 8.50/1.81 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 8.50/1.81 thf(zip_derived_cl295, plain,
% 8.50/1.81 (![X0 : $i, X1 : $i]:
% 8.50/1.81 (c_InductTermi_OIT @
% 8.50/1.81 (c_Lambda_Osubst @ v_ra @ (c_Lambda_OdB_OVar @ X0) @ X1))),
% 8.50/1.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.50/1.81 thf(zip_derived_cl7684, plain, ($false),
% 8.50/1.81 inference('demod', [status(thm)],
% 8.50/1.81 [zip_derived_cl4388, zip_derived_cl1939, zip_derived_cl295])).
% 8.50/1.81
% 8.50/1.81 % SZS output end Refutation
% 8.50/1.81
% 8.50/1.81
% 8.50/1.81 % Terminating...
% 8.50/1.86 % Runner terminated.
% 8.50/1.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------