%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM762^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n005.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 : 300s
% DateTime : Thu Oct 9 02:12:05 PM UTC 2025
% Result : Theorem 19.01s 18.93s
% Output : Proof 19.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM762^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 8 22:47:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 19.01/18.93 % SZS status Theorem
% 19.01/18.93 % Mode: mode485
% 19.01/18.93 % Inferences: 66
% 19.01/18.93 % SZS output start Proof
% 19.01/18.93 thf(satz65b,conjecture,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u))).
% 19.01/18.93 thf(h0,negated_conjecture,(~(((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)))),inference(assume_negation,[status(cth)],[satz65b])).
% 19.01/18.93 thf(ax971, axiom, (~(p9)|p15), file('<stdin>', ax971)).
% 19.01/18.93 thf(ax972, axiom, (~(p15)|p14), file('<stdin>', ax972)).
% 19.01/18.93 thf(ax977, axiom, p9, file('<stdin>', ax977)).
% 19.01/18.93 thf(ax973, axiom, (~(p14)|p13), file('<stdin>', ax973)).
% 19.01/18.93 thf(ax974, axiom, (~(p13)|p12), file('<stdin>', ax974)).
% 19.01/18.93 thf(pax5, axiom, (p5=>![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X1 @ X2=>(feq @ X1 @ X3=>(feq @ X2 @ X4=>fmoref @ X3 @ X4)))), file('<stdin>', pax5)).
% 19.01/18.93 thf(pax8, axiom, (p8=>![X1:frac, X2:frac, X3:frac, X4:frac]:(feq @ X1 @ X2=>(feq @ X3 @ X4=>feq @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X4)))), file('<stdin>', pax8)).
% 19.01/18.93 thf(ax976, axiom, (~(p11)|~(p10)|p1), file('<stdin>', ax976)).
% 19.01/18.93 thf(ax985, axiom, ~(p1), file('<stdin>', ax985)).
% 19.01/18.93 thf(ax975, axiom, (~(p12)|~(p2)|p11), file('<stdin>', ax975)).
% 19.01/18.93 thf(ax981, axiom, p5, file('<stdin>', ax981)).
% 19.01/18.93 thf(ax978, axiom, p8, file('<stdin>', ax978)).
% 19.01/18.93 thf(pax6, axiom, (p6=>![X1:frac, X2:frac, X3:frac]:(fmoref @ X1 @ X2=>fmoref @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X3))), file('<stdin>', pax6)).
% 19.01/18.93 thf(ax984, axiom, p2, file('<stdin>', ax984)).
% 19.01/18.93 thf(ax980, axiom, p6, file('<stdin>', ax980)).
% 19.01/18.93 thf(pax7, axiom, (p7=>![X1:frac]:feq @ X1 @ X1), file('<stdin>', pax7)).
% 19.01/18.93 thf(nax10, axiom, (p10<=fmoref @ fz @ fu), file('<stdin>', nax10)).
% 19.01/18.93 thf(ax979, axiom, p7, file('<stdin>', ax979)).
% 19.01/18.93 thf(pax3, axiom, (p3=>(~(fmoref @ fz @ fu)=>feq @ fz @ fu)), file('<stdin>', pax3)).
% 19.01/18.93 thf(ax983, axiom, p3, file('<stdin>', ax983)).
% 19.01/18.93 thf(nax1, axiom, (p1<=fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), file('<stdin>', nax1)).
% 19.01/18.93 thf(pax2, axiom, (p2=>fmoref @ fx @ fy), file('<stdin>', pax2)).
% 19.01/18.93 thf(c_0_22, plain, (~p9|p15), inference(fof_simplification,[status(thm)],[ax971])).
% 19.01/18.93 thf(c_0_23, plain, (~p15|p14), inference(fof_simplification,[status(thm)],[ax972])).
% 19.01/18.93 thf(c_0_24, plain, (p15|~p9), inference(split_conjunct,[status(thm)],[c_0_22])).
% 19.01/18.93 thf(c_0_25, plain, p9, inference(split_conjunct,[status(thm)],[ax977])).
% 19.01/18.93 thf(c_0_26, plain, (~p14|p13), inference(fof_simplification,[status(thm)],[ax973])).
% 19.01/18.93 thf(c_0_27, plain, (p14|~p15), inference(split_conjunct,[status(thm)],[c_0_23])).
% 19.01/18.93 thf(c_0_28, plain, p15, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 19.01/18.93 thf(c_0_29, plain, (~p13|p12), inference(fof_simplification,[status(thm)],[ax974])).
% 19.01/18.93 thf(c_0_30, plain, (p13|~p14), inference(split_conjunct,[status(thm)],[c_0_26])).
% 19.01/18.93 thf(c_0_31, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
% 19.01/18.93 thf(c_0_32, plain, ![X893:frac, X894:frac, X895:frac, X896:frac]:(~p5|(~fmoref @ X893 @ X894|(~feq @ X893 @ X895|(~feq @ X894 @ X896|fmoref @ X895 @ X896)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 19.01/18.93 thf(c_0_33, plain, ![X877:frac, X878:frac, X879:frac, X880:frac]:(~p8|(~feq @ X877 @ X878|(~feq @ X879 @ X880|feq @ (fpf @ X877 @ X879) @ (fpf @ X878 @ X880)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax8])])])).
% 19.01/18.93 thf(c_0_34, plain, (~p11|~p10|p1), inference(fof_simplification,[status(thm)],[ax976])).
% 19.01/18.93 thf(c_0_35, plain, ~p1, inference(fof_simplification,[status(thm)],[ax985])).
% 19.01/18.93 thf(c_0_36, plain, (~p12|~p2|p11), inference(fof_simplification,[status(thm)],[ax975])).
% 19.01/18.93 thf(c_0_37, plain, (p12|~p13), inference(split_conjunct,[status(thm)],[c_0_29])).
% 19.01/18.93 thf(c_0_38, plain, p13, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 19.01/18.93 thf(c_0_39, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X3 @ X4|~p5|~fmoref @ X1 @ X2|~feq @ X1 @ X3|~feq @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_32])).
% 19.01/18.93 thf(c_0_40, plain, p5, inference(split_conjunct,[status(thm)],[ax981])).
% 19.01/18.93 thf(c_0_41, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(feq @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X4)|~p8|~feq @ X1 @ X2|~feq @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_33])).
% 19.01/18.93 thf(c_0_42, plain, p8, inference(split_conjunct,[status(thm)],[ax978])).
% 19.01/18.93 thf(c_0_43, plain, ![X887:frac, X888:frac, X889:frac]:(~p6|(~fmoref @ X887 @ X888|fmoref @ (fpf @ X887 @ X889) @ (fpf @ X888 @ X889))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 19.01/18.93 thf(c_0_44, plain, (p1|~p11|~p10), inference(split_conjunct,[status(thm)],[c_0_34])).
% 19.01/18.93 thf(c_0_45, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_35])).
% 19.01/18.93 thf(c_0_46, plain, (p11|~p12|~p2), inference(split_conjunct,[status(thm)],[c_0_36])).
% 19.01/18.93 thf(c_0_47, plain, p2, inference(split_conjunct,[status(thm)],[ax984])).
% 19.01/18.93 thf(c_0_48, plain, p12, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 19.01/18.93 thf(c_0_49, plain, ![X2:frac, X1:frac, X4:frac, X3:frac]:(fmoref @ X1 @ X2|~feq @ X3 @ X2|~feq @ X4 @ X1|~fmoref @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 19.01/18.93 thf(c_0_50, plain, ![X2:frac, X1:frac, X4:frac, X3:frac]:(feq @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X4)|~feq @ X2 @ X4|~feq @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 19.01/18.93 thf(c_0_51, plain, ![X1:frac, X3:frac, X2:frac]:(fmoref @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X3)|~p6|~fmoref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_43])).
% 19.01/18.93 thf(c_0_52, plain, p6, inference(split_conjunct,[status(thm)],[ax980])).
% 19.01/18.93 thf(c_0_53, plain, ![X885:frac]:(~p7|feq @ X885 @ X885), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 19.01/18.93 thf(c_0_54, plain, (~fmoref @ fz @ fu|p10), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax10])])).
% 19.01/18.93 thf(c_0_55, plain, (~p10|~p11), inference(sr,[status(thm)],[c_0_44, c_0_45])).
% 19.01/18.93 thf(c_0_56, plain, p11, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47]), c_0_48])])).
% 19.01/18.93 thf(c_0_57, plain, ![X1:frac, X4:frac, X6:frac, X5:frac, X3:frac, X2:frac]:(fmoref @ X1 @ (fpf @ X2 @ X3)|~fmoref @ X4 @ (fpf @ X5 @ X6)|~feq @ X4 @ X1|~feq @ X6 @ X3|~feq @ X5 @ X2), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 19.01/18.93 thf(c_0_58, plain, ![X1:frac, X2:frac, X3:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X2)|~fmoref @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])).
% 19.01/18.93 thf(c_0_59, plain, ![X1:frac]:(feq @ X1 @ X1|~p7), inference(split_conjunct,[status(thm)],[c_0_53])).
% 19.01/18.93 thf(c_0_60, plain, p7, inference(split_conjunct,[status(thm)],[ax979])).
% 19.01/18.93 thf(c_0_61, plain, (~p3|(fmoref @ fz @ fu|feq @ fz @ fu)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])).
% 19.01/18.93 thf(c_0_62, plain, (p10|~fmoref @ fz @ fu), inference(split_conjunct,[status(thm)],[c_0_54])).
% 19.01/18.93 thf(c_0_63, plain, ~p10, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 19.01/18.93 thf(c_0_64, plain, ![X1:frac, X3:frac, X2:frac, X4:frac, X5:frac, X6:frac]:(fmoref @ X1 @ (fpf @ X2 @ X3)|~feq @ (fpf @ X4 @ X5) @ X1|~feq @ X5 @ X3|~feq @ X6 @ X2|~fmoref @ X4 @ X6), inference(spm,[status(thm)],[c_0_57, c_0_58])).
% 19.01/18.93 thf(c_0_65, plain, ![X1:frac]:feq @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])])).
% 19.01/18.93 thf(c_0_66, plain, (fmoref @ fz @ fu|feq @ fz @ fu|~p3), inference(split_conjunct,[status(thm)],[c_0_61])).
% 19.01/18.93 thf(c_0_67, plain, p3, inference(split_conjunct,[status(thm)],[ax983])).
% 19.01/18.93 thf(c_0_68, plain, ~fmoref @ fz @ fu, inference(sr,[status(thm)],[c_0_62, c_0_63])).
% 19.01/18.93 thf(c_0_69, plain, (~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 19.01/18.93 thf(c_0_70, plain, ![X1:frac, X3:frac, X4:frac, X2:frac, X5:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X4)|~feq @ X2 @ X4|~feq @ X5 @ X3|~fmoref @ X1 @ X5), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 19.01/18.93 thf(c_0_71, plain, feq @ fz @ fu, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])]), c_0_68])).
% 19.01/18.93 thf(c_0_72, plain, (~p2|fmoref @ fx @ fy), inference(fof_nnf,[status(thm)],[pax2])).
% 19.01/18.93 thf(c_0_73, plain, (p1|~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), inference(split_conjunct,[status(thm)],[c_0_69])).
% 19.01/18.93 thf(c_0_74, plain, ![X1:frac, X2:frac, X3:frac]:(fmoref @ (fpf @ X1 @ fz) @ (fpf @ X2 @ fu)|~feq @ X3 @ X2|~fmoref @ X1 @ X3), inference(spm,[status(thm)],[c_0_70, c_0_71])).
% 19.01/18.93 thf(c_0_75, plain, (fmoref @ fx @ fy|~p2), inference(split_conjunct,[status(thm)],[c_0_72])).
% 19.01/18.93 thf(c_0_76, plain, ~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu), inference(sr,[status(thm)],[c_0_73, c_0_45])).
% 19.01/18.93 thf(c_0_77, plain, ![X1:frac, X2:frac]:(fmoref @ (fpf @ X1 @ fz) @ (fpf @ X2 @ fu)|~fmoref @ X1 @ X2), inference(spm,[status(thm)],[c_0_74, c_0_65])).
% 19.01/18.93 thf(c_0_78, plain, fmoref @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_47])])).
% 19.01/18.93 thf(c_0_79, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_78])]), ['proof']).
% 19.01/18.93 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 19.01/18.93 thf(0,theorem,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 19.01/18.93 % SZS output end Proof
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