TSTP Solution File: ITP190^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP190^1 : 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 : n028.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 00:29:27 EDT 2022
% Result : Theorem 4.92s 5.08s
% Output : Proof 4.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP190^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jun 3 00:05:54 EDT 2022
% 0.14/0.33 % CPUTime :
% 4.92/5.08 % SZS status Theorem
% 4.92/5.08 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 4.92/5.08 % Inferences: 5
% 4.92/5.08 % SZS output start Proof
% 4.92/5.08 thf(conj_0,conjecture,((late_transitions @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ z) @ x)) @ nil_Pr743626285e_name)) @ q)) @ ((perm_n414416632sidual @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ z) @ x)) @ nil_Pr743626285e_name)) @ ((late_FreeR @ ((late_OutputR @ aa) @ x)) @ q_a)))).
% 4.92/5.08 thf(h0,negated_conjecture,(~(((late_transitions @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ z) @ x)) @ nil_Pr743626285e_name)) @ q)) @ ((perm_n414416632sidual @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ z) @ x)) @ nil_Pr743626285e_name)) @ ((late_FreeR @ ((late_OutputR @ aa) @ x)) @ q_a))))),inference(assume_negation,[status(cth)],[conj_0])).
% 4.92/5.08 thf(nax148, axiom, (p148<=flate_transitions @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ fq) @ (fperm_n414416632sidual @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ (flate_FreeR @ (flate_OutputR @ faa @ fx) @ fq_a))), file('<stdin>', nax148)).
% 4.92/5.08 thf(ax30, axiom, ~(p148), file('<stdin>', ax30)).
% 4.92/5.08 thf(pax24, axiom, (p24=>![X267:name, X257:name, X268:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X267 @ X257) @ fnil_Pr743626285e_name) @ X268)=(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X257 @ X267) @ fnil_Pr743626285e_name) @ X268)), file('<stdin>', pax24)).
% 4.92/5.08 thf(pax35, axiom, (p35=>![X253:pi, X254:late_residual, X255:list_P227219501e_name]:(flate_transitions @ X253 @ X254=>flate_transitions @ (fperm_name_pi @ X255 @ X253) @ (fperm_n414416632sidual @ X255 @ X254))), file('<stdin>', pax35)).
% 4.92/5.08 thf(pax34, axiom, (p34=>![X256:name, X257:name, X258:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X256 @ X257) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X257 @ X256) @ fnil_Pr743626285e_name) @ X258))=(X258)), file('<stdin>', pax34)).
% 4.92/5.08 thf(pax14, axiom, (p14=>![X267:name, X278:name, X279:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X267 @ X278) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X267 @ X278) @ fnil_Pr743626285e_name) @ X279))=(X279)), file('<stdin>', pax14)).
% 4.92/5.08 thf(pax93, axiom, (p93=>![X166:produc367475239e_name]:~(![X164:name, X165:name]:~((X166)=(fproduc1570949143e_name @ X164 @ X165)))), file('<stdin>', pax93)).
% 4.92/5.08 thf(pax1, axiom, (p1=>(faa)=(fb)), file('<stdin>', pax1)).
% 4.92/5.08 thf(ax154, axiom, p24, file('<stdin>', ax154)).
% 4.92/5.08 thf(ax143, axiom, p35, file('<stdin>', ax143)).
% 4.92/5.08 thf(ax144, axiom, p34, file('<stdin>', ax144)).
% 4.92/5.08 thf(ax164, axiom, p14, file('<stdin>', ax164)).
% 4.92/5.08 thf(ax85, axiom, p93, file('<stdin>', ax85)).
% 4.92/5.08 thf(pax7, axiom, (p7=>flate_transitions @ fq @ (flate_FreeR @ (flate_OutputR @ fb @ fx) @ fq_a)), file('<stdin>', pax7)).
% 4.92/5.08 thf(ax177, axiom, p1, file('<stdin>', ax177)).
% 4.92/5.09 thf(ax171, axiom, p7, file('<stdin>', ax171)).
% 4.92/5.09 thf(c_0_16, plain, (~flate_transitions @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ fq) @ (fperm_n414416632sidual @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ (flate_FreeR @ (flate_OutputR @ faa @ fx) @ fq_a))|p148), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax148])])).
% 4.92/5.09 thf(c_0_17, plain, ~p148, inference(fof_simplification,[status(thm)],[ax30])).
% 4.92/5.09 thf(c_0_18, plain, ![X1450:name, X1451:name, X1452:pi]:(~p24|(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1450 @ X1451) @ fnil_Pr743626285e_name) @ X1452)=(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1451 @ X1450) @ fnil_Pr743626285e_name) @ X1452)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax24])])])).
% 4.92/5.09 thf(c_0_19, plain, ![X1406:pi, X1407:late_residual, X1408:list_P227219501e_name]:(~p35|(~flate_transitions @ X1406 @ X1407|flate_transitions @ (fperm_name_pi @ X1408 @ X1406) @ (fperm_n414416632sidual @ X1408 @ X1407))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax35])])])).
% 4.92/5.09 thf(c_0_20, plain, ![X1412:name, X1413:name, X1414:pi]:(~p34|(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1412 @ X1413) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1413 @ X1412) @ fnil_Pr743626285e_name) @ X1414))=(X1414)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax34])])])).
% 4.92/5.09 thf(c_0_21, plain, ![X1500:name, X1501:name, X1502:pi]:(~p14|(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1500 @ X1501) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1500 @ X1501) @ fnil_Pr743626285e_name) @ X1502))=(X1502)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax14])])])).
% 4.92/5.09 thf(c_0_22, plain, ![X1124:produc367475239e_name]:(~p93|(X1124)=(fproduc1570949143e_name @ (esk421_1 @ X1124) @ (esk422_1 @ X1124))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax93])])])])])).
% 4.92/5.09 thf(c_0_23, plain, (~p1|(faa)=(fb)), inference(fof_nnf,[status(thm)],[pax1])).
% 4.92/5.09 thf(c_0_24, plain, (p148|~flate_transitions @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ fq) @ (fperm_n414416632sidual @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ (flate_FreeR @ (flate_OutputR @ faa @ fx) @ fq_a))), inference(split_conjunct,[status(thm)],[c_0_16])).
% 4.92/5.09 thf(c_0_25, plain, ~p148, inference(split_conjunct,[status(thm)],[c_0_17])).
% 4.92/5.09 thf(c_0_26, plain, ![X1:name, X2:name, X3:pi]:((fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ X3)=(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X2 @ X1) @ fnil_Pr743626285e_name) @ X3)|~p24), inference(split_conjunct,[status(thm)],[c_0_18])).
% 4.92/5.09 thf(c_0_27, plain, p24, inference(split_conjunct,[status(thm)],[ax154])).
% 4.92/5.09 thf(c_0_28, plain, ![X3:pi, X100:list_P227219501e_name, X131:late_residual]:(flate_transitions @ (fperm_name_pi @ X100 @ X3) @ (fperm_n414416632sidual @ X100 @ X131)|~p35|~flate_transitions @ X3 @ X131), inference(split_conjunct,[status(thm)],[c_0_19])).
% 4.92/5.09 thf(c_0_29, plain, p35, inference(split_conjunct,[status(thm)],[ax143])).
% 4.92/5.09 thf(c_0_30, plain, ![X1:name, X2:name, X3:pi]:((fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X2 @ X1) @ fnil_Pr743626285e_name) @ X3))=(X3)|~p34), inference(split_conjunct,[status(thm)],[c_0_20])).
% 4.92/5.09 thf(c_0_31, plain, p34, inference(split_conjunct,[status(thm)],[ax144])).
% 4.92/5.09 thf(c_0_32, plain, ![X1:name, X2:name, X3:pi]:((fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ X3))=(X3)|~p14), inference(split_conjunct,[status(thm)],[c_0_21])).
% 4.92/5.09 thf(c_0_33, plain, p14, inference(split_conjunct,[status(thm)],[ax164])).
% 4.92/5.09 thf(c_0_34, plain, ![X148:produc367475239e_name]:((X148)=(fproduc1570949143e_name @ (esk421_1 @ X148) @ (esk422_1 @ X148))|~p93), inference(split_conjunct,[status(thm)],[c_0_22])).
% 4.92/5.09 thf(c_0_35, plain, p93, inference(split_conjunct,[status(thm)],[ax85])).
% 4.92/5.09 thf(c_0_36, plain, (~p7|flate_transitions @ fq @ (flate_FreeR @ (flate_OutputR @ fb @ fx) @ fq_a)), inference(fof_nnf,[status(thm)],[pax7])).
% 4.92/5.09 thf(c_0_37, plain, ((faa)=(fb)|~p1), inference(split_conjunct,[status(thm)],[c_0_23])).
% 4.92/5.09 thf(c_0_38, plain, p1, inference(split_conjunct,[status(thm)],[ax177])).
% 4.92/5.09 thf(c_0_39, plain, ~flate_transitions @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ fq) @ (fperm_n414416632sidual @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ (flate_FreeR @ (flate_OutputR @ faa @ fx) @ fq_a)), inference(sr,[status(thm)],[c_0_24, c_0_25])).
% 4.92/5.09 thf(c_0_40, plain, ![X1:name, X2:name, X3:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ X3)=(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X2 @ X1) @ fnil_Pr743626285e_name) @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 4.92/5.09 thf(c_0_41, plain, ![X3:pi, X100:list_P227219501e_name, X131:late_residual]:(flate_transitions @ (fperm_name_pi @ X100 @ X3) @ (fperm_n414416632sidual @ X100 @ X131)|~flate_transitions @ X3 @ X131), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 4.92/5.09 thf(c_0_42, plain, ![X1:name, X2:name, X3:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X2 @ X1) @ fnil_Pr743626285e_name) @ X3))=(X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 4.92/5.09 thf(c_0_43, plain, ![X1:name, X2:name, X3:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ X3))=(X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 4.92/5.09 thf(c_0_44, plain, ![X148:produc367475239e_name]:(fproduc1570949143e_name @ (esk421_1 @ X148) @ (esk422_1 @ X148))=(X148), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 4.92/5.09 thf(c_0_45, plain, (flate_transitions @ fq @ (flate_FreeR @ (flate_OutputR @ fb @ fx) @ fq_a)|~p7), inference(split_conjunct,[status(thm)],[c_0_36])).
% 4.92/5.09 thf(c_0_46, plain, (fb)=(faa), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 4.92/5.09 thf(c_0_47, plain, p7, inference(split_conjunct,[status(thm)],[ax171])).
% 4.92/5.09 thf(c_0_48, plain, ~flate_transitions @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fx @ fz) @ fnil_Pr743626285e_name) @ fq) @ (fperm_n414416632sidual @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fz @ fx) @ fnil_Pr743626285e_name) @ (flate_FreeR @ (flate_OutputR @ faa @ fx) @ fq_a)), inference(rw,[status(thm)],[c_0_39, c_0_40])).
% 4.92/5.09 thf(c_0_49, plain, ![X1:name, X2:name, X3:pi, X131:late_residual]:(flate_transitions @ X3 @ (fperm_n414416632sidual @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X1 @ X2) @ fnil_Pr743626285e_name) @ X131)|~flate_transitions @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X2 @ X1) @ fnil_Pr743626285e_name) @ X3) @ X131), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 4.92/5.09 thf(c_0_50, plain, ![X148:produc367475239e_name, X3:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ X148 @ fnil_Pr743626285e_name) @ (fperm_name_pi @ (fcons_P1213805021e_name @ X148 @ fnil_Pr743626285e_name) @ X3))=(X3), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 4.92/5.09 thf(c_0_51, plain, flate_transitions @ fq @ (flate_FreeR @ (flate_OutputR @ faa @ fx) @ fq_a), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46]), c_0_47])])).
% 4.92/5.09 thf(c_0_52, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])]), ['proof']).
% 4.92/5.09 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 4.92/5.09 thf(0,theorem,((late_transitions @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ z) @ x)) @ nil_Pr743626285e_name)) @ q)) @ ((perm_n414416632sidual @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ z) @ x)) @ nil_Pr743626285e_name)) @ ((late_FreeR @ ((late_OutputR @ aa) @ x)) @ q_a))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 4.92/5.09 % SZS output end Proof
%------------------------------------------------------------------------------