TSTP Solution File: ITP105^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP105^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n025.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 : 600s
% DateTime : Sun Jul 17 00:29:07 EDT 2022
% Result : Theorem 46.56s 46.52s
% Output : Proof 46.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP105^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 21:53:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 46.56/46.52 % SZS status Theorem
% 46.56/46.52 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.56/46.52 % Inferences: 1643
% 46.56/46.52 % SZS output start Proof
% 46.56/46.52 thf(conj_0,conjecture,(((listSl97544552lice_a @ nil_a) @ k) = nil_list_a)).
% 46.56/46.52 thf(h0,negated_conjecture,(~((((listSl97544552lice_a @ nil_a) @ k) = nil_list_a))),inference(assume_negation,[status(cth)],[conj_0])).
% 46.56/46.52 thf(ax2736, axiom, (~(p222)|p271), file('<stdin>', ax2736)).
% 46.56/46.52 thf(ax2765, axiom, (~(p2)|p257), file('<stdin>', ax2765)).
% 46.56/46.52 thf(ax2735, axiom, (~(p271)|p272), file('<stdin>', ax2735)).
% 46.56/46.52 thf(ax2813, axiom, p222, file('<stdin>', ax2813)).
% 46.56/46.52 thf(ax2734, axiom, (~(p272)|~(p257)|p270), file('<stdin>', ax2734)).
% 46.56/46.52 thf(ax3032, axiom, p2, file('<stdin>', ax3032)).
% 46.56/46.52 thf(ax2693, axiom, (~(p257)|p1|~(p279)|~(p257)), file('<stdin>', ax2693)).
% 46.56/46.52 thf(ax1742, axiom, (~(p8)|p492|~(p744)|~(p8)), file('<stdin>', ax1742)).
% 46.56/46.52 thf(ax1366, axiom, (p744|~(p270)), file('<stdin>', ax1366)).
% 46.56/46.52 thf(ax3033, axiom, ~(p1), file('<stdin>', ax3033)).
% 46.56/46.52 thf(ax2578, axiom, (~(p3)|p316), file('<stdin>', ax2578)).
% 46.56/46.52 thf(ax2635, axiom, (~(p300)|~(p257)|~(p270)), file('<stdin>', ax2635)).
% 46.56/46.52 thf(nax262, axiom, (p262<=![X12:nat]:((fk)=(X12)=>(X12)=(fk))), file('<stdin>', nax262)).
% 46.56/46.52 thf(ax1790, axiom, (~(p492)|p246|~(p492)|~(p700)), file('<stdin>', ax1790)).
% 46.56/46.52 thf(ax2664, axiom, (p279|~(p298)|~(p246)), file('<stdin>', ax2664)).
% 46.56/46.52 thf(ax2571, axiom, (~(p316)|p322), file('<stdin>', ax2571)).
% 46.56/46.52 thf(ax3031, axiom, p3, file('<stdin>', ax3031)).
% 46.56/46.52 thf(ax1889, axiom, (~(p629)|~(p257)|~(p8)), file('<stdin>', ax1889)).
% 46.56/46.52 thf(ax1432, axiom, (~(p262)|p929), file('<stdin>', ax1432)).
% 46.56/46.52 thf(ax3026, axiom, p8, file('<stdin>', ax3026)).
% 46.56/46.52 thf(ax2639, axiom, p298, file('<stdin>', ax2639)).
% 46.56/46.52 thf(pax9, axiom, (p9=>(fsize_size_list_a @ fnil_a)=(fzero_zero_nat)), file('<stdin>', pax9)).
% 46.56/46.52 thf(ax2572, axiom, (~(p322)|~(p317)|p1), file('<stdin>', ax2572)).
% 46.56/46.52 thf(nax300, axiom, (p300<=((flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)=(fnil_list_a)=>~((fnil_list_a)=(flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)))), file('<stdin>', nax300)).
% 46.56/46.52 thf(nax629, axiom, (p629<=((flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)=(fnil_list_a)=>~((fsize_s1427607542list_a @ fnil_list_a)=(fzero_zero_nat)))), file('<stdin>', nax629)).
% 46.56/46.52 thf(ax1431, axiom, (~(p929)|~(p927)|p700), file('<stdin>', ax1431)).
% 46.56/46.52 thf(pax18, axiom, (p18=>![X95:nat]:(~((X95)=(fzero_zero_nat))=>ford_less_nat @ fzero_zero_nat @ X95)), file('<stdin>', pax18)).
% 46.56/46.52 thf(nax317, axiom, (p317<=ford_less_nat @ (fsize_size_list_a @ fnil_a) @ fk), file('<stdin>', nax317)).
% 46.56/46.52 thf(ax3025, axiom, p9, file('<stdin>', ax3025)).
% 46.56/46.52 thf(nax927, axiom, (p927<=(fk)=(fsize_s1427607542list_a @ (flistSl97544552lice_a @ fnil_a @ fzero_zero_nat))), file('<stdin>', nax927)).
% 46.56/46.52 thf(ax3016, axiom, p18, file('<stdin>', ax3016)).
% 46.56/46.52 thf(c_0_31, plain, (~p222|p271), inference(fof_simplification,[status(thm)],[ax2736])).
% 46.56/46.52 thf(c_0_32, plain, (~p2|p257), inference(fof_simplification,[status(thm)],[ax2765])).
% 46.56/46.52 thf(c_0_33, plain, (~p271|p272), inference(fof_simplification,[status(thm)],[ax2735])).
% 46.56/46.52 thf(c_0_34, plain, (p271|~p222), inference(split_conjunct,[status(thm)],[c_0_31])).
% 46.56/46.52 thf(c_0_35, plain, p222, inference(split_conjunct,[status(thm)],[ax2813])).
% 46.56/46.52 thf(c_0_36, plain, (~p272|~p257|p270), inference(fof_simplification,[status(thm)],[ax2734])).
% 46.56/46.52 thf(c_0_37, plain, (p257|~p2), inference(split_conjunct,[status(thm)],[c_0_32])).
% 46.56/46.52 thf(c_0_38, plain, p2, inference(split_conjunct,[status(thm)],[ax3032])).
% 46.56/46.52 thf(c_0_39, plain, (p272|~p271), inference(split_conjunct,[status(thm)],[c_0_33])).
% 46.56/46.52 thf(c_0_40, plain, p271, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 46.56/46.52 thf(c_0_41, plain, (~p257|p1|~p279|~p257), inference(fof_simplification,[status(thm)],[ax2693])).
% 46.56/46.52 thf(c_0_42, plain, (~p8|p492|~p744|~p8), inference(fof_simplification,[status(thm)],[ax1742])).
% 46.56/46.52 thf(c_0_43, plain, (p744|~p270), inference(fof_simplification,[status(thm)],[ax1366])).
% 46.56/46.52 thf(c_0_44, plain, (p270|~p272|~p257), inference(split_conjunct,[status(thm)],[c_0_36])).
% 46.56/46.52 thf(c_0_45, plain, p257, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 46.56/46.52 thf(c_0_46, plain, p272, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 46.56/46.52 thf(c_0_47, plain, (p1|~p257|~p279|~p257), inference(split_conjunct,[status(thm)],[c_0_41])).
% 46.56/46.52 thf(c_0_48, plain, ~p1, inference(fof_simplification,[status(thm)],[ax3033])).
% 46.56/46.52 thf(c_0_49, plain, (~p3|p316), inference(fof_simplification,[status(thm)],[ax2578])).
% 46.56/46.52 thf(c_0_50, plain, (~p300|~p257|~p270), inference(fof_simplification,[status(thm)],[ax2635])).
% 46.56/46.52 thf(c_0_51, plain, (((fk)=(esk396_0)|p262)&((esk396_0)!=(fk)|p262)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax262])])])])])).
% 46.56/46.52 thf(c_0_52, plain, (~p492|p246|~p492|~p700), inference(fof_simplification,[status(thm)],[ax1790])).
% 46.56/46.52 thf(c_0_53, plain, (p492|~p8|~p744|~p8), inference(split_conjunct,[status(thm)],[c_0_42])).
% 46.56/46.52 thf(c_0_54, plain, (p744|~p270), inference(split_conjunct,[status(thm)],[c_0_43])).
% 46.56/46.52 thf(c_0_55, plain, p270, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45]), c_0_46])])).
% 46.56/46.52 thf(c_0_56, plain, (p279|~p298|~p246), inference(fof_simplification,[status(thm)],[ax2664])).
% 46.56/46.52 thf(c_0_57, plain, (p1|~p257|~p279), inference(cn,[status(thm)],[c_0_47])).
% 46.56/46.52 thf(c_0_58, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_48])).
% 46.56/46.52 thf(c_0_59, plain, (~p316|p322), inference(fof_simplification,[status(thm)],[ax2571])).
% 46.56/46.52 thf(c_0_60, plain, (p316|~p3), inference(split_conjunct,[status(thm)],[c_0_49])).
% 46.56/46.52 thf(c_0_61, plain, p3, inference(split_conjunct,[status(thm)],[ax3031])).
% 46.56/46.52 thf(c_0_62, plain, (~p300|~p257|~p270), inference(split_conjunct,[status(thm)],[c_0_50])).
% 46.56/46.52 thf(c_0_63, plain, (~p629|~p257|~p8), inference(fof_simplification,[status(thm)],[ax1889])).
% 46.56/46.52 thf(c_0_64, plain, (~p262|p929), inference(fof_simplification,[status(thm)],[ax1432])).
% 46.56/46.52 thf(c_0_65, plain, (p262|(esk396_0)!=(fk)), inference(split_conjunct,[status(thm)],[c_0_51])).
% 46.56/46.52 thf(c_0_66, plain, ((fk)=(esk396_0)|p262), inference(split_conjunct,[status(thm)],[c_0_51])).
% 46.56/46.52 thf(c_0_67, plain, (p246|~p492|~p492|~p700), inference(split_conjunct,[status(thm)],[c_0_52])).
% 46.56/46.52 thf(c_0_68, plain, (p492|~p8|~p744), inference(cn,[status(thm)],[c_0_53])).
% 46.56/46.52 thf(c_0_69, plain, p8, inference(split_conjunct,[status(thm)],[ax3026])).
% 46.56/46.52 thf(c_0_70, plain, p744, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 46.56/46.52 thf(c_0_71, plain, (p279|~p298|~p246), inference(split_conjunct,[status(thm)],[c_0_56])).
% 46.56/46.52 thf(c_0_72, plain, p298, inference(split_conjunct,[status(thm)],[ax2639])).
% 46.56/46.52 thf(c_0_73, plain, ~p279, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_45])]), c_0_58])).
% 46.56/46.52 thf(c_0_74, plain, (~p9|(fsize_size_list_a @ fnil_a)=(fzero_zero_nat)), inference(fof_nnf,[status(thm)],[pax9])).
% 46.56/46.52 thf(c_0_75, plain, (~p322|~p317|p1), inference(fof_simplification,[status(thm)],[ax2572])).
% 46.56/46.52 thf(c_0_76, plain, (p322|~p316), inference(split_conjunct,[status(thm)],[c_0_59])).
% 46.56/46.52 thf(c_0_77, plain, p316, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 46.56/46.52 thf(c_0_78, plain, (((flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)=(fnil_list_a)|p300)&((fnil_list_a)=(flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)|p300)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax300])])])).
% 46.56/46.52 thf(c_0_79, plain, (~p270|~p300), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_45])])).
% 46.56/46.52 thf(c_0_80, plain, (((flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)=(fnil_list_a)|p629)&((fsize_s1427607542list_a @ fnil_list_a)=(fzero_zero_nat)|p629)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax629])])])).
% 46.56/46.52 thf(c_0_81, plain, (~p629|~p257|~p8), inference(split_conjunct,[status(thm)],[c_0_63])).
% 46.56/46.52 thf(c_0_82, plain, (~p929|~p927|p700), inference(fof_simplification,[status(thm)],[ax1431])).
% 46.56/46.52 thf(c_0_83, plain, (p929|~p262), inference(split_conjunct,[status(thm)],[c_0_64])).
% 46.56/46.52 thf(c_0_84, plain, p262, inference(csr,[status(thm)],[c_0_65, c_0_66])).
% 46.56/46.52 thf(c_0_85, plain, (p246|~p492|~p700), inference(cn,[status(thm)],[c_0_67])).
% 46.56/46.52 thf(c_0_86, plain, p492, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_69]), c_0_70])])).
% 46.56/46.52 thf(c_0_87, plain, ~p246, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])]), c_0_73])).
% 46.56/46.52 thf(c_0_88, plain, ![X1360:nat]:(~p18|((X1360)=(fzero_zero_nat)|ford_less_nat @ fzero_zero_nat @ X1360)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax18])])])])).
% 46.56/46.52 thf(c_0_89, plain, (~ford_less_nat @ (fsize_size_list_a @ fnil_a) @ fk|p317), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax317])])).
% 46.56/46.52 thf(c_0_90, plain, ((fsize_size_list_a @ fnil_a)=(fzero_zero_nat)|~p9), inference(split_conjunct,[status(thm)],[c_0_74])).
% 46.56/46.52 thf(c_0_91, plain, p9, inference(split_conjunct,[status(thm)],[ax3025])).
% 46.56/46.52 thf(c_0_92, plain, (p1|~p322|~p317), inference(split_conjunct,[status(thm)],[c_0_75])).
% 46.56/46.52 thf(c_0_93, plain, p322, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 46.56/46.52 thf(c_0_94, plain, ((fk)!=(fsize_s1427607542list_a @ (flistSl97544552lice_a @ fnil_a @ fzero_zero_nat))|p927), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax927])])).
% 46.56/46.52 thf(c_0_95, plain, ((fnil_list_a)=(flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)|p300), inference(split_conjunct,[status(thm)],[c_0_78])).
% 46.56/46.52 thf(c_0_96, plain, ~p300, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_55])])).
% 46.56/46.52 thf(c_0_97, plain, ((fsize_s1427607542list_a @ fnil_list_a)=(fzero_zero_nat)|p629), inference(split_conjunct,[status(thm)],[c_0_80])).
% 46.56/46.52 thf(c_0_98, plain, ~p629, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_69]), c_0_45])])).
% 46.56/46.52 thf(c_0_99, plain, (p700|~p929|~p927), inference(split_conjunct,[status(thm)],[c_0_82])).
% 46.56/46.52 thf(c_0_100, plain, p929, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84])])).
% 46.56/46.52 thf(c_0_101, plain, ~p700, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_86])]), c_0_87])).
% 46.56/46.52 thf(c_0_102, plain, ![X2:nat]:((X2)=(fzero_zero_nat)|ford_less_nat @ fzero_zero_nat @ X2|~p18), inference(split_conjunct,[status(thm)],[c_0_88])).
% 46.56/46.52 thf(c_0_103, plain, p18, inference(split_conjunct,[status(thm)],[ax3016])).
% 46.56/46.52 thf(c_0_104, plain, (p317|~ford_less_nat @ (fsize_size_list_a @ fnil_a) @ fk), inference(split_conjunct,[status(thm)],[c_0_89])).
% 46.56/46.52 thf(c_0_105, plain, (fsize_size_list_a @ fnil_a)=(fzero_zero_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])])).
% 46.56/46.52 thf(c_0_106, plain, ~p317, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_93])]), c_0_58])).
% 46.56/46.52 thf(c_0_107, plain, (p927|(fk)!=(fsize_s1427607542list_a @ (flistSl97544552lice_a @ fnil_a @ fzero_zero_nat))), inference(split_conjunct,[status(thm)],[c_0_94])).
% 46.56/46.52 thf(c_0_108, plain, (flistSl97544552lice_a @ fnil_a @ fzero_zero_nat)=(fnil_list_a), inference(sr,[status(thm)],[c_0_95, c_0_96])).
% 46.56/46.52 thf(c_0_109, plain, (fsize_s1427607542list_a @ fnil_list_a)=(fzero_zero_nat), inference(sr,[status(thm)],[c_0_97, c_0_98])).
% 46.56/46.52 thf(c_0_110, plain, ~p927, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99, c_0_100])]), c_0_101])).
% 46.56/46.52 thf(c_0_111, plain, ![X2:nat]:((X2)=(fzero_zero_nat)|ford_less_nat @ fzero_zero_nat @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_103])])).
% 46.56/46.52 thf(c_0_112, plain, ~ford_less_nat @ fzero_zero_nat @ fk, inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_104, c_0_105]), c_0_106])).
% 46.56/46.52 thf(c_0_113, plain, (fk)!=(fzero_zero_nat), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_108]), c_0_109]), c_0_110])).
% 46.56/46.52 thf(c_0_114, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_111, c_0_112, c_0_113]), ['proof']).
% 46.56/46.52 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 46.56/46.52 thf(0,theorem,(((listSl97544552lice_a @ nil_a) @ k) = nil_list_a),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 46.56/46.52 % SZS output end Proof
%------------------------------------------------------------------------------