TSTP Solution File: SEU652^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU652^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n006.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 : Tue Jul 19 13:55:19 EDT 2022
% Result : Theorem 2.11s 2.75s
% Output : Proof 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU652^2 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jun 19 14:50:25 EDT 2022
% 0.15/0.35 % CPUTime :
% 2.11/2.75 % SZS status Theorem
% 2.11/2.75 % Mode: mode506
% 2.11/2.75 % Inferences: 19640
% 2.11/2.75 % SZS output start Proof
% 2.11/2.75 thf(def_setadjoinIL,definition,(setadjoinIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))))).
% 2.11/2.75 thf(def_uniqinunit,definition,(uniqinunit = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 2.11/2.75 thf(def_secondinupair,definition,(secondinupair = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 2.11/2.75 thf(upairequniteq,conjecture,((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i]:(![X3:$i]:((((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X3) @ emptyset)) => (X1 = X2))))))))).
% 2.11/2.75 thf(h0,negated_conjecture,(~(((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i]:(![X3:$i]:((((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X3) @ emptyset)) => (X1 = X2)))))))))),inference(assume_negation,[status(cth)],[upairequniteq])).
% 2.11/2.75 thf(ax1811, axiom, (p1|~(p3)), file('<stdin>', ax1811)).
% 2.11/2.75 thf(ax1813, axiom, ~(p1), file('<stdin>', ax1813)).
% 2.11/2.75 thf(ax1809, axiom, (p3|~(p5)), file('<stdin>', ax1809)).
% 2.11/2.75 thf(ax1807, axiom, (p5|~(p7)), file('<stdin>', ax1807)).
% 2.11/2.75 thf(ax1806, axiom, (p7|~(p8)), file('<stdin>', ax1806)).
% 2.11/2.75 thf(ax1805, axiom, (p8|~(p9)), file('<stdin>', ax1805)).
% 2.11/2.75 thf(ax1779, axiom, (~(p4)|p33), file('<stdin>', ax1779)).
% 2.11/2.75 thf(ax1810, axiom, (p3|p4), file('<stdin>', ax1810)).
% 2.11/2.75 thf(ax1804, axiom, (p9|~(p10)), file('<stdin>', ax1804)).
% 2.11/2.75 thf(ax1788, axiom, (~(p6)|p24), file('<stdin>', ax1788)).
% 2.11/2.75 thf(ax1808, axiom, (p5|p6), file('<stdin>', ax1808)).
% 2.11/2.75 thf(ax655, axiom, (~(p33)|p650), file('<stdin>', ax655)).
% 2.11/2.75 thf(ax1783, axiom, (~(p24)|p29), file('<stdin>', ax1783)).
% 2.11/2.75 thf(ax656, axiom, (~(p650)|~(p649)|p339), file('<stdin>', ax656)).
% 2.11/2.75 thf(ax652, axiom, (~(p29)|p649|~(p37)|~(p11)), file('<stdin>', ax652)).
% 2.11/2.75 thf(ax1803, axiom, (p10|p11), file('<stdin>', ax1803)).
% 2.11/2.75 thf(ax1772, axiom, p37, file('<stdin>', ax1772)).
% 2.11/2.75 thf(ax1780, axiom, (~(p4)|p32), file('<stdin>', ax1780)).
% 2.11/2.75 thf(pax339, axiom, (p339=>(f__1)=(f__2)), file('<stdin>', pax339)).
% 2.11/2.75 thf(ax1781, axiom, (~(p32)|p31), file('<stdin>', ax1781)).
% 2.11/2.75 thf(ax1802, axiom, (p10|~(p12)), file('<stdin>', ax1802)).
% 2.11/2.75 thf(pax2, axiom, (p2=>![X1:$i, X2:$i]:fin @ X1 @ (fsetadjoin @ X1 @ X2)), file('<stdin>', pax2)).
% 2.11/2.75 thf(ax1812, axiom, (p1|p2), file('<stdin>', ax1812)).
% 2.11/2.75 thf(nax10, axiom, (p10<=((fsetadjoin @ f__0 @ (fsetadjoin @ f__1 @ femptyset))=(fsetadjoin @ f__2 @ femptyset)=>(f__0)=(f__1))), file('<stdin>', nax10)).
% 2.11/2.75 thf(ax1782, axiom, (~(p31)|~(p30)|p12), file('<stdin>', ax1782)).
% 2.11/2.75 thf(nax30, axiom, (p30<=fin @ f__0 @ (fsetadjoin @ f__1 @ femptyset)), file('<stdin>', nax30)).
% 2.11/2.75 thf(c_0_26, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax1811])).
% 2.11/2.75 thf(c_0_27, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1813])).
% 2.11/2.75 thf(c_0_28, plain, (p3|~p5), inference(fof_simplification,[status(thm)],[ax1809])).
% 2.11/2.75 thf(c_0_29, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_26])).
% 2.11/2.75 thf(c_0_30, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_27])).
% 2.11/2.75 thf(c_0_31, plain, (p5|~p7), inference(fof_simplification,[status(thm)],[ax1807])).
% 2.11/2.75 thf(c_0_32, plain, (p3|~p5), inference(split_conjunct,[status(thm)],[c_0_28])).
% 2.11/2.75 thf(c_0_33, plain, ~p3, inference(sr,[status(thm)],[c_0_29, c_0_30])).
% 2.11/2.75 thf(c_0_34, plain, (p7|~p8), inference(fof_simplification,[status(thm)],[ax1806])).
% 2.11/2.75 thf(c_0_35, plain, (p5|~p7), inference(split_conjunct,[status(thm)],[c_0_31])).
% 2.11/2.75 thf(c_0_36, plain, ~p5, inference(sr,[status(thm)],[c_0_32, c_0_33])).
% 2.11/2.75 thf(c_0_37, plain, (p8|~p9), inference(fof_simplification,[status(thm)],[ax1805])).
% 2.11/2.75 thf(c_0_38, plain, (p7|~p8), inference(split_conjunct,[status(thm)],[c_0_34])).
% 2.11/2.75 thf(c_0_39, plain, ~p7, inference(sr,[status(thm)],[c_0_35, c_0_36])).
% 2.11/2.75 thf(c_0_40, plain, (~p4|p33), inference(fof_simplification,[status(thm)],[ax1779])).
% 2.11/2.75 thf(c_0_41, plain, (p3|p4), inference(split_conjunct,[status(thm)],[ax1810])).
% 2.11/2.75 thf(c_0_42, plain, (p9|~p10), inference(fof_simplification,[status(thm)],[ax1804])).
% 2.11/2.75 thf(c_0_43, plain, (p8|~p9), inference(split_conjunct,[status(thm)],[c_0_37])).
% 2.11/2.75 thf(c_0_44, plain, ~p8, inference(sr,[status(thm)],[c_0_38, c_0_39])).
% 2.11/2.75 thf(c_0_45, plain, (~p6|p24), inference(fof_simplification,[status(thm)],[ax1788])).
% 2.11/2.75 thf(c_0_46, plain, (p5|p6), inference(split_conjunct,[status(thm)],[ax1808])).
% 2.11/2.75 thf(c_0_47, plain, (~p33|p650), inference(fof_simplification,[status(thm)],[ax655])).
% 2.11/2.75 thf(c_0_48, plain, (p33|~p4), inference(split_conjunct,[status(thm)],[c_0_40])).
% 2.11/2.75 thf(c_0_49, plain, p4, inference(sr,[status(thm)],[c_0_41, c_0_33])).
% 2.11/2.75 thf(c_0_50, plain, (p9|~p10), inference(split_conjunct,[status(thm)],[c_0_42])).
% 2.11/2.75 thf(c_0_51, plain, ~p9, inference(sr,[status(thm)],[c_0_43, c_0_44])).
% 2.11/2.75 thf(c_0_52, plain, (~p24|p29), inference(fof_simplification,[status(thm)],[ax1783])).
% 2.11/2.75 thf(c_0_53, plain, (p24|~p6), inference(split_conjunct,[status(thm)],[c_0_45])).
% 2.11/2.75 thf(c_0_54, plain, p6, inference(sr,[status(thm)],[c_0_46, c_0_36])).
% 2.11/2.75 thf(c_0_55, plain, (~p650|~p649|p339), inference(fof_simplification,[status(thm)],[ax656])).
% 2.11/2.75 thf(c_0_56, plain, (p650|~p33), inference(split_conjunct,[status(thm)],[c_0_47])).
% 2.11/2.75 thf(c_0_57, plain, p33, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 2.11/2.75 thf(c_0_58, plain, (~p29|p649|~p37|~p11), inference(fof_simplification,[status(thm)],[ax652])).
% 2.11/2.75 thf(c_0_59, plain, (p10|p11), inference(split_conjunct,[status(thm)],[ax1803])).
% 2.11/2.75 thf(c_0_60, plain, ~p10, inference(sr,[status(thm)],[c_0_50, c_0_51])).
% 2.11/2.75 thf(c_0_61, plain, (p29|~p24), inference(split_conjunct,[status(thm)],[c_0_52])).
% 2.11/2.75 thf(c_0_62, plain, p24, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 2.11/2.75 thf(c_0_63, plain, (p339|~p650|~p649), inference(split_conjunct,[status(thm)],[c_0_55])).
% 2.11/2.75 thf(c_0_64, plain, p650, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 2.11/2.75 thf(c_0_65, plain, (p649|~p29|~p37|~p11), inference(split_conjunct,[status(thm)],[c_0_58])).
% 2.11/2.75 thf(c_0_66, plain, p11, inference(sr,[status(thm)],[c_0_59, c_0_60])).
% 2.11/2.75 thf(c_0_67, plain, p29, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 2.11/2.75 thf(c_0_68, plain, p37, inference(split_conjunct,[status(thm)],[ax1772])).
% 2.11/2.75 thf(c_0_69, plain, (~p4|p32), inference(fof_simplification,[status(thm)],[ax1780])).
% 2.11/2.75 thf(c_0_70, plain, (~p339|(f__1)=(f__2)), inference(fof_nnf,[status(thm)],[pax339])).
% 2.11/2.75 thf(c_0_71, plain, (p339|~p649), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])).
% 2.11/2.75 thf(c_0_72, plain, p649, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66]), c_0_67]), c_0_68])])).
% 2.11/2.75 thf(c_0_73, plain, (~p32|p31), inference(fof_simplification,[status(thm)],[ax1781])).
% 2.11/2.75 thf(c_0_74, plain, (p32|~p4), inference(split_conjunct,[status(thm)],[c_0_69])).
% 2.11/2.75 thf(c_0_75, plain, (p10|~p12), inference(fof_simplification,[status(thm)],[ax1802])).
% 2.11/2.75 thf(c_0_76, plain, ![X222:$i, X223:$i]:(~p2|fin @ X222 @ (fsetadjoin @ X222 @ X223)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 2.11/2.75 thf(c_0_77, plain, (p1|p2), inference(split_conjunct,[status(thm)],[ax1812])).
% 2.11/2.75 thf(c_0_78, plain, (((fsetadjoin @ f__0 @ (fsetadjoin @ f__1 @ femptyset))=(fsetadjoin @ f__2 @ femptyset)|p10)&((f__0)!=(f__1)|p10)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax10])])])).
% 2.11/2.75 thf(c_0_79, plain, ((f__1)=(f__2)|~p339), inference(split_conjunct,[status(thm)],[c_0_70])).
% 2.11/2.75 thf(c_0_80, plain, p339, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])])).
% 2.11/2.75 thf(c_0_81, plain, (~p31|~p30|p12), inference(fof_simplification,[status(thm)],[ax1782])).
% 2.11/2.75 thf(c_0_82, plain, (p31|~p32), inference(split_conjunct,[status(thm)],[c_0_73])).
% 2.11/2.75 thf(c_0_83, plain, p32, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_49])])).
% 2.11/2.75 thf(c_0_84, plain, (p10|~p12), inference(split_conjunct,[status(thm)],[c_0_75])).
% 2.11/2.75 thf(c_0_85, plain, ![X1:$i, X2:$i]:(fin @ X1 @ (fsetadjoin @ X1 @ X2)|~p2), inference(split_conjunct,[status(thm)],[c_0_76])).
% 2.11/2.75 thf(c_0_86, plain, p2, inference(sr,[status(thm)],[c_0_77, c_0_30])).
% 2.11/2.75 thf(c_0_87, plain, ((fsetadjoin @ f__0 @ (fsetadjoin @ f__1 @ femptyset))=(fsetadjoin @ f__2 @ femptyset)|p10), inference(split_conjunct,[status(thm)],[c_0_78])).
% 2.11/2.75 thf(c_0_88, plain, (f__2)=(f__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])])).
% 2.11/2.75 thf(c_0_89, plain, (~fin @ f__0 @ (fsetadjoin @ f__1 @ femptyset)|p30), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax30])])).
% 2.11/2.75 thf(c_0_90, plain, (p12|~p31|~p30), inference(split_conjunct,[status(thm)],[c_0_81])).
% 2.11/2.75 thf(c_0_91, plain, p31, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])])).
% 2.11/2.75 thf(c_0_92, plain, ~p12, inference(sr,[status(thm)],[c_0_84, c_0_60])).
% 2.11/2.75 thf(c_0_93, plain, ![X1:$i, X2:$i]:fin @ X1 @ (fsetadjoin @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_86])])).
% 2.11/2.75 thf(c_0_94, plain, (fsetadjoin @ f__0 @ (fsetadjoin @ f__1 @ femptyset))=(fsetadjoin @ f__1 @ femptyset), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88]), c_0_60])).
% 2.11/2.75 thf(c_0_95, plain, (p30|~fin @ f__0 @ (fsetadjoin @ f__1 @ femptyset)), inference(split_conjunct,[status(thm)],[c_0_89])).
% 2.11/2.75 thf(c_0_96, plain, ~p30, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])]), c_0_92])).
% 2.11/2.75 thf(c_0_97, plain, fin @ f__0 @ (fsetadjoin @ f__1 @ femptyset), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 2.11/2.75 thf(c_0_98, plain, ~fin @ f__0 @ (fsetadjoin @ f__1 @ femptyset), inference(sr,[status(thm)],[c_0_95, c_0_96])).
% 2.11/2.75 thf(c_0_99, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_97, c_0_98]), ['proof']).
% 2.11/2.75 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.11/2.75 thf(0,theorem,((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i]:(![X3:$i]:((((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X3) @ emptyset)) => (X1 = X2)))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.11/2.75 % SZS output end Proof
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