TSTP Solution File: ITP121^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP121^1 : 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 : n026.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 00:29:11 EDT 2022
% Result : Theorem 9.26s 9.36s
% Output : Proof 9.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP121^1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 3 14:39:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.26/9.36 % SZS status Theorem
% 9.26/9.36 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 9.26/9.36 % Inferences: 16
% 9.26/9.36 % SZS output start Proof
% 9.26/9.36 thf(conj_0,conjecture,(((sup @ ((inf @ ((sup @ b) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ ((inf @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)) @ ((sup @ a2) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c)))) = ((inf @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)) @ ((sup @ ((inf @ ((sup @ b) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ ((sup @ a2) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c)))))).
% 9.26/9.36 thf(h0,negated_conjecture,(~((((sup @ ((inf @ ((sup @ b) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ ((inf @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)) @ ((sup @ a2) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c)))) = ((inf @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)) @ ((sup @ ((inf @ ((sup @ b) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ ((sup @ a2) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))))))),inference(assume_negation,[status(cth)],[conj_0])).
% 9.26/9.36 thf(ax4, axiom, (~(p66)|p231), file('<stdin>', ax4)).
% 9.26/9.36 thf(ax5, axiom, (~(p231)|p230), file('<stdin>', ax5)).
% 9.26/9.36 thf(ax170, axiom, p66, file('<stdin>', ax170)).
% 9.26/9.36 thf(ax6, axiom, (~(p230)|p229), file('<stdin>', ax6)).
% 9.26/9.36 thf(pax11, axiom, (p11=>![X16:a, X8:a, X9:a]:(fsup @ X16 @ (fmodula1936294176_aux_a @ finf @ fsup @ X8 @ X16 @ X9))=(fsup @ X16 @ (finf @ X9 @ X8))), file('<stdin>', pax11)).
% 9.26/9.36 thf(pax2, axiom, (p2=>![X16:a, X8:a]:(finf @ X16 @ X8)=(finf @ X8 @ X16)), file('<stdin>', pax2)).
% 9.26/9.36 thf(pax43, axiom, (p43=>![X14:a, X8:a]:fless_eq @ (finf @ X14 @ X8) @ X8), file('<stdin>', pax43)).
% 9.26/9.36 thf(ax7, axiom, (~(p229)|~(p228)|p79), file('<stdin>', ax7)).
% 9.26/9.36 thf(ax157, axiom, ~(p79), file('<stdin>', ax157)).
% 9.26/9.36 thf(nax228, axiom, (p228<=fless_eq @ (finf @ (fsup @ fb @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc)) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)), file('<stdin>', nax228)).
% 9.26/9.36 thf(ax225, axiom, p11, file('<stdin>', ax225)).
% 9.26/9.36 thf(ax234, axiom, p2, file('<stdin>', ax234)).
% 9.26/9.36 thf(ax193, axiom, p43, file('<stdin>', ax193)).
% 9.26/9.36 thf(c_0_13, plain, (~p66|p231), inference(fof_simplification,[status(thm)],[ax4])).
% 9.26/9.36 thf(c_0_14, plain, (~p231|p230), inference(fof_simplification,[status(thm)],[ax5])).
% 9.26/9.36 thf(c_0_15, plain, (p231|~p66), inference(split_conjunct,[status(thm)],[c_0_13])).
% 9.26/9.36 thf(c_0_16, plain, p66, inference(split_conjunct,[status(thm)],[ax170])).
% 9.26/9.36 thf(c_0_17, plain, (~p230|p229), inference(fof_simplification,[status(thm)],[ax6])).
% 9.26/9.36 thf(c_0_18, plain, (p230|~p231), inference(split_conjunct,[status(thm)],[c_0_14])).
% 9.26/9.36 thf(c_0_19, plain, p231, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 9.26/9.36 thf(c_0_20, plain, ![X817:a, X818:a, X819:a]:(~p11|(fsup @ X817 @ (fmodula1936294176_aux_a @ finf @ fsup @ X818 @ X817 @ X819))=(fsup @ X817 @ (finf @ X819 @ X818))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 9.26/9.36 thf(c_0_21, plain, ![X881:a, X882:a]:(~p2|(finf @ X881 @ X882)=(finf @ X882 @ X881)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 9.26/9.36 thf(c_0_22, plain, ![X661:a, X662:a]:(~p43|fless_eq @ (finf @ X661 @ X662) @ X662), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax43])])])).
% 9.26/9.36 thf(c_0_23, plain, (~p229|~p228|p79), inference(fof_simplification,[status(thm)],[ax7])).
% 9.26/9.36 thf(c_0_24, plain, (p229|~p230), inference(split_conjunct,[status(thm)],[c_0_17])).
% 9.26/9.36 thf(c_0_25, plain, p230, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 9.26/9.36 thf(c_0_26, plain, ~p79, inference(fof_simplification,[status(thm)],[ax157])).
% 9.26/9.36 thf(c_0_27, plain, (~fless_eq @ (finf @ (fsup @ fb @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc)) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)|p228), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax228])])).
% 9.26/9.36 thf(c_0_28, plain, ![X1:a, X4:a, X2:a]:((fsup @ X1 @ (fmodula1936294176_aux_a @ finf @ fsup @ X2 @ X1 @ X4))=(fsup @ X1 @ (finf @ X4 @ X2))|~p11), inference(split_conjunct,[status(thm)],[c_0_20])).
% 9.26/9.36 thf(c_0_29, plain, p11, inference(split_conjunct,[status(thm)],[ax225])).
% 9.26/9.36 thf(c_0_30, plain, ![X2:a, X1:a]:((finf @ X1 @ X2)=(finf @ X2 @ X1)|~p2), inference(split_conjunct,[status(thm)],[c_0_21])).
% 9.26/9.36 thf(c_0_31, plain, p2, inference(split_conjunct,[status(thm)],[ax234])).
% 9.26/9.36 thf(c_0_32, plain, ![X1:a, X2:a]:(fless_eq @ (finf @ X1 @ X2) @ X2|~p43), inference(split_conjunct,[status(thm)],[c_0_22])).
% 9.26/9.36 thf(c_0_33, plain, p43, inference(split_conjunct,[status(thm)],[ax193])).
% 9.26/9.36 thf(c_0_34, plain, (p79|~p229|~p228), inference(split_conjunct,[status(thm)],[c_0_23])).
% 9.26/9.36 thf(c_0_35, plain, p229, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 9.26/9.36 thf(c_0_36, plain, ~p79, inference(split_conjunct,[status(thm)],[c_0_26])).
% 9.26/9.36 thf(c_0_37, plain, (p228|~fless_eq @ (finf @ (fsup @ fb @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc)) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)), inference(split_conjunct,[status(thm)],[c_0_27])).
% 9.26/9.36 thf(c_0_38, plain, ![X1:a, X4:a, X2:a]:(fsup @ X1 @ (fmodula1936294176_aux_a @ finf @ fsup @ X2 @ X1 @ X4))=(fsup @ X1 @ (finf @ X4 @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 9.26/9.36 thf(c_0_39, plain, ![X2:a, X1:a]:(finf @ X1 @ X2)=(finf @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 9.26/9.36 thf(c_0_40, plain, ![X1:a, X2:a]:fless_eq @ (finf @ X1 @ X2) @ X2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 9.26/9.36 thf(c_0_41, plain, ~p228, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])]), c_0_36])).
% 9.26/9.36 thf(c_0_42, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_39]), c_0_40])]), c_0_41]), ['proof']).
% 9.26/9.36 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 9.26/9.36 thf(0,theorem,(((sup @ ((inf @ ((sup @ b) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ ((inf @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)) @ ((sup @ a2) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c)))) = ((inf @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)) @ ((sup @ ((inf @ ((sup @ b) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))) @ ((sup @ a2) @ (((((modula1936294176_aux_a @ inf) @ sup) @ a2) @ b) @ c))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 9.26/9.36 % SZS output end Proof
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