TSTP Solution File: ITP182^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP182^1 : 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 : n019.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 00:29:24 EDT 2022
% Result : Theorem 2.07s 2.65s
% Output : Proof 2.07s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP182^1 : 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
% 0.13/0.34 % Computer : n019.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 2 13:06:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.07/2.65 % SZS status Theorem
% 2.07/2.65 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 2.07/2.65 % Inferences: 5
% 2.07/2.65 % SZS output start Proof
% 2.07/2.65 thf(conj_0,conjecture,(((((strong2129052853vative @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ (late_BoundOutputS @ aa)) @ y) @ rel)).
% 2.07/2.65 thf(h0,negated_conjecture,(~((((((strong2129052853vative @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ (late_BoundOutputS @ aa)) @ y) @ rel))),inference(assume_negation,[status(cth)],[conj_0])).
% 2.07/2.65 thf(pax3, axiom, (p3=>(fa)=(flate_BoundOutputS @ faa)), file('<stdin>', pax3)).
% 2.07/2.65 thf(nax106, axiom, (p106<=fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (flate_BoundOutputS @ faa) @ fy @ frel), file('<stdin>', nax106)).
% 2.07/2.65 thf(ax114, axiom, p3, file('<stdin>', ax114)).
% 2.07/2.65 thf(ax11, axiom, ~(p106), file('<stdin>', ax11)).
% 2.07/2.65 thf(pax20, axiom, (p20=>![X124:name, X112:name, X125:pi]:(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X124 @ X112) @ fnil_Pr743626285e_name) @ X125)=(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X112 @ X124) @ fnil_Pr743626285e_name) @ X125)), file('<stdin>', pax20)).
% 2.07/2.65 thf(pax70, axiom, (p70=>![X89:set_Pr1834926343_pi_pi, X80:pi, X87:late_subject, X83:name]:(ford_le630093991_pi_pi @ fid_pi @ X89=>fstrong2129052853vative @ X80 @ X80 @ X87 @ X83 @ X89)), file('<stdin>', pax70)).
% 2.07/2.65 thf(pax1, axiom, (p1=>ford_le630093991_pi_pi @ fid_pi @ frel), file('<stdin>', pax1)).
% 2.07/2.65 thf(ax97, axiom, p20, file('<stdin>', ax97)).
% 2.07/2.65 thf(ax47, axiom, p70, file('<stdin>', ax47)).
% 2.07/2.65 thf(ax116, axiom, p1, file('<stdin>', ax116)).
% 2.07/2.65 thf(c_0_10, plain, (~p3|(fa)=(flate_BoundOutputS @ faa)), inference(fof_nnf,[status(thm)],[pax3])).
% 2.07/2.65 thf(c_0_11, plain, (~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (flate_BoundOutputS @ faa) @ fy @ frel|p106), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax106])])).
% 2.07/2.65 thf(c_0_12, plain, ((fa)=(flate_BoundOutputS @ faa)|~p3), inference(split_conjunct,[status(thm)],[c_0_10])).
% 2.07/2.65 thf(c_0_13, plain, p3, inference(split_conjunct,[status(thm)],[ax114])).
% 2.07/2.65 thf(c_0_14, plain, ~p106, inference(fof_simplification,[status(thm)],[ax11])).
% 2.07/2.65 thf(c_0_15, plain, ![X575:name, X576:name, X577:pi]:(~p20|(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X575 @ X576) @ fnil_Pr743626285e_name) @ X577)=(fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ X576 @ X575) @ fnil_Pr743626285e_name) @ X577)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax20])])])).
% 2.07/2.65 thf(c_0_16, plain, ![X431:set_Pr1834926343_pi_pi, X432:pi, X433:late_subject, X434:name]:(~p70|(~ford_le630093991_pi_pi @ fid_pi @ X431|fstrong2129052853vative @ X432 @ X432 @ X433 @ X434 @ X431)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax70])])])).
% 2.07/2.65 thf(c_0_17, plain, (~p1|ford_le630093991_pi_pi @ fid_pi @ frel), inference(fof_nnf,[status(thm)],[pax1])).
% 2.07/2.65 thf(c_0_18, plain, (p106|~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (flate_BoundOutputS @ faa) @ fy @ frel), inference(split_conjunct,[status(thm)],[c_0_11])).
% 2.07/2.65 thf(c_0_19, plain, (flate_BoundOutputS @ faa)=(fa), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 2.07/2.65 thf(c_0_20, plain, ~p106, inference(split_conjunct,[status(thm)],[c_0_14])).
% 2.07/2.65 thf(c_0_21, 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)|~p20), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.07/2.65 thf(c_0_22, plain, p20, inference(split_conjunct,[status(thm)],[ax97])).
% 2.07/2.65 thf(c_0_23, plain, ![X1:name, X3:pi, X26:late_subject, X25:set_Pr1834926343_pi_pi]:(fstrong2129052853vative @ X3 @ X3 @ X26 @ X1 @ X25|~p70|~ford_le630093991_pi_pi @ fid_pi @ X25), inference(split_conjunct,[status(thm)],[c_0_16])).
% 2.07/2.65 thf(c_0_24, plain, p70, inference(split_conjunct,[status(thm)],[ax47])).
% 2.07/2.65 thf(c_0_25, plain, (ford_le630093991_pi_pi @ fid_pi @ frel|~p1), inference(split_conjunct,[status(thm)],[c_0_17])).
% 2.07/2.65 thf(c_0_26, plain, p1, inference(split_conjunct,[status(thm)],[ax116])).
% 2.07/2.65 thf(c_0_27, plain, ~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ fa @ fy @ frel, inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19]), c_0_20])).
% 2.07/2.65 thf(c_0_28, 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_21, c_0_22])])).
% 2.07/2.65 thf(c_0_29, plain, ![X1:name, X3:pi, X26:late_subject, X25:set_Pr1834926343_pi_pi]:(fstrong2129052853vative @ X3 @ X3 @ X26 @ X1 @ X25|~ford_le630093991_pi_pi @ fid_pi @ X25), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 2.07/2.65 thf(c_0_30, plain, ford_le630093991_pi_pi @ fid_pi @ frel, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 2.07/2.65 thf(c_0_31, plain, ~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fx @ fy) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fx @ fy) @ fnil_Pr743626285e_name) @ fp2) @ fa @ fy @ frel, inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28]), c_0_28])).
% 2.07/2.65 thf(c_0_32, plain, ![X26:late_subject, X3:pi, X1:name]:fstrong2129052853vative @ X3 @ X3 @ X26 @ X1 @ frel, inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 2.07/2.65 thf(c_0_33, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])]), ['proof']).
% 2.07/2.65 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.07/2.65 thf(0,theorem,(((((strong2129052853vative @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ (late_BoundOutputS @ aa)) @ y) @ rel),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.07/2.65 % SZS output end Proof
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