%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM760^1 : 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 : n021.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 23.76s 24.02s
% Output : Proof 23.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM760^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.35 % Computer : n021.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 : 300
% 0.15/0.35 % DateTime : Wed Oct 8 22:04:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 23.76/24.02 % SZS status Theorem
% 23.76/24.02 % Mode: mode371
% 23.76/24.02 % Inferences: 4
% 23.76/24.02 % SZS output start Proof
% 23.76/24.02 thf(satz64,conjecture,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u))).
% 23.76/24.02 thf(h0,negated_conjecture,(~(((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)))),inference(assume_negation,[status(cth)],[satz64])).
% 23.76/24.02 thf(pax5, axiom, (p5=>![X1:frac, X2:frac, X3:frac]:(flessf @ X1 @ X2=>(flessf @ X2 @ X3=>flessf @ X1 @ X3))), file('<stdin>', pax5)).
% 23.76/24.02 thf(pax6, axiom, (p6=>![X1:frac, X2:frac]:(fmoref @ X1 @ X2=>flessf @ X2 @ X1)), file('<stdin>', pax6)).
% 23.76/24.02 thf(pax7, axiom, (p7=>![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X1 @ X2=>(feq @ X1 @ X3=>(feq @ X2 @ X4=>fmoref @ X3 @ X4)))), file('<stdin>', pax7)).
% 23.76/24.02 thf(pax9, axiom, (p9=>![X1:frac, X2:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)), file('<stdin>', pax9)).
% 23.76/24.02 thf(ax4, axiom, p5, file('<stdin>', ax4)).
% 23.76/24.02 thf(ax3, axiom, p6, file('<stdin>', ax3)).
% 23.76/24.02 thf(ax2, axiom, p7, file('<stdin>', ax2)).
% 23.76/24.02 thf(ax0, axiom, p9, file('<stdin>', ax0)).
% 23.76/24.02 thf(pax8, axiom, (p8=>![X1:frac, X2:frac, X3:frac]:(fmoref @ X1 @ X2=>fmoref @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X3))), file('<stdin>', pax8)).
% 23.76/24.02 thf(ax1, axiom, p8, file('<stdin>', ax1)).
% 23.76/24.02 thf(pax4, axiom, (p4=>![X1:frac, X2:frac]:(flessf @ X1 @ X2=>fmoref @ X2 @ X1)), file('<stdin>', pax4)).
% 23.76/24.02 thf(nax1, axiom, (p1<=fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), file('<stdin>', nax1)).
% 23.76/24.02 thf(ax8, axiom, ~(p1), file('<stdin>', ax8)).
% 23.76/24.02 thf(ax5, axiom, p4, file('<stdin>', ax5)).
% 23.76/24.02 thf(pax2, axiom, (p2=>fmoref @ fx @ fy), file('<stdin>', pax2)).
% 23.76/24.02 thf(pax3, axiom, (p3=>fmoref @ fz @ fu), file('<stdin>', pax3)).
% 23.76/24.02 thf(ax7, axiom, p2, file('<stdin>', ax7)).
% 23.76/24.02 thf(ax6, axiom, p3, file('<stdin>', ax6)).
% 23.76/24.02 thf(c_0_18, plain, ![X29:frac, X30:frac, X31:frac]:(~p5|(~flessf @ X29 @ X30|(~flessf @ X30 @ X31|flessf @ X29 @ X31))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 23.76/24.02 thf(c_0_19, plain, ![X25:frac, X26:frac]:(~p6|(~fmoref @ X25 @ X26|flessf @ X26 @ X25)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 23.76/24.02 thf(c_0_20, plain, ![X17:frac, X18:frac, X19:frac, X20:frac]:(~p7|(~fmoref @ X17 @ X18|(~feq @ X17 @ X19|(~feq @ X18 @ X20|fmoref @ X19 @ X20)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 23.76/24.02 thf(c_0_21, plain, ![X7:frac, X8:frac]:(~p9|feq @ (fpf @ X7 @ X8) @ (fpf @ X8 @ X7)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 23.76/24.02 thf(c_0_22, plain, ![X1:frac, X2:frac, X3:frac]:(flessf @ X1 @ X3|~p5|~flessf @ X1 @ X2|~flessf @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_18])).
% 23.76/24.02 thf(c_0_23, plain, p5, inference(split_conjunct,[status(thm)],[ax4])).
% 23.76/24.02 thf(c_0_24, plain, ![X1:frac, X2:frac]:(flessf @ X2 @ X1|~p6|~fmoref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_19])).
% 23.76/24.02 thf(c_0_25, plain, p6, inference(split_conjunct,[status(thm)],[ax3])).
% 23.76/24.02 thf(c_0_26, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X3 @ X4|~p7|~fmoref @ X1 @ X2|~feq @ X1 @ X3|~feq @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_20])).
% 23.76/24.02 thf(c_0_27, plain, p7, inference(split_conjunct,[status(thm)],[ax2])).
% 23.76/24.02 thf(c_0_28, plain, ![X2:frac, X1:frac]:(feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)|~p9), inference(split_conjunct,[status(thm)],[c_0_21])).
% 23.76/24.02 thf(c_0_29, plain, p9, inference(split_conjunct,[status(thm)],[ax0])).
% 23.76/24.02 thf(c_0_30, plain, ![X11:frac, X12:frac, X13:frac]:(~p8|(~fmoref @ X11 @ X12|fmoref @ (fpf @ X11 @ X13) @ (fpf @ X12 @ X13))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax8])])])).
% 23.76/24.02 thf(c_0_31, plain, ![X1:frac, X2:frac, X3:frac]:(flessf @ X1 @ X2|~flessf @ X3 @ X2|~flessf @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 23.76/24.02 thf(c_0_32, plain, ![X2:frac, X1:frac]:(flessf @ X1 @ X2|~fmoref @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 23.76/24.02 thf(c_0_33, 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_26, c_0_27])])).
% 23.76/24.02 thf(c_0_34, plain, ![X2:frac, X1:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 23.76/24.02 thf(c_0_35, plain, ![X1:frac, X3:frac, X2:frac]:(fmoref @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X3)|~p8|~fmoref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_30])).
% 23.76/24.02 thf(c_0_36, plain, p8, inference(split_conjunct,[status(thm)],[ax1])).
% 23.76/24.02 thf(c_0_37, plain, ![X1:frac, X2:frac, X3:frac]:(flessf @ X1 @ X2|~flessf @ X1 @ X3|~fmoref @ X2 @ X3), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 23.76/24.02 thf(c_0_38, plain, ![X2:frac, X4:frac, X3:frac, X1:frac]:(fmoref @ X1 @ (fpf @ X2 @ X3)|~fmoref @ X4 @ (fpf @ X3 @ X2)|~feq @ X4 @ X1), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 23.76/24.02 thf(c_0_39, 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_35, c_0_36])])).
% 23.76/24.02 thf(c_0_40, plain, ![X35:frac, X36:frac]:(~p4|(~flessf @ X35 @ X36|fmoref @ X36 @ X35)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])])).
% 23.76/24.02 thf(c_0_41, plain, ![X3:frac, X2:frac, X1:frac]:(flessf @ X1 @ X2|~fmoref @ X2 @ X3|~fmoref @ X3 @ X1), inference(spm,[status(thm)],[c_0_37, c_0_32])).
% 23.76/24.02 thf(c_0_42, plain, ![X1:frac, X2:frac, X4:frac, X3:frac]:(fmoref @ X1 @ (fpf @ X2 @ X3)|~feq @ (fpf @ X4 @ X2) @ X1|~fmoref @ X4 @ X3), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 23.76/24.02 thf(c_0_43, plain, (~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 23.76/24.02 thf(c_0_44, plain, ~p1, inference(fof_simplification,[status(thm)],[ax8])).
% 23.76/24.02 thf(c_0_45, plain, ![X1:frac, X2:frac]:(fmoref @ X2 @ X1|~p4|~flessf @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_40])).
% 23.76/24.02 thf(c_0_46, plain, p4, inference(split_conjunct,[status(thm)],[ax5])).
% 23.76/24.02 thf(c_0_47, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(flessf @ X1 @ (fpf @ X2 @ X3)|~fmoref @ (fpf @ X4 @ X3) @ X1|~fmoref @ X2 @ X4), inference(spm,[status(thm)],[c_0_41, c_0_39])).
% 23.76/24.02 thf(c_0_48, plain, ![X1:frac, X2:frac, X3:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X1 @ X3)|~fmoref @ X2 @ X3), inference(spm,[status(thm)],[c_0_42, c_0_34])).
% 23.76/24.02 thf(c_0_49, plain, (~p2|fmoref @ fx @ fy), inference(fof_nnf,[status(thm)],[pax2])).
% 23.76/24.02 thf(c_0_50, plain, (~p3|fmoref @ fz @ fu), inference(fof_nnf,[status(thm)],[pax3])).
% 23.76/24.02 thf(c_0_51, plain, (p1|~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), inference(split_conjunct,[status(thm)],[c_0_43])).
% 23.76/24.02 thf(c_0_52, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_44])).
% 23.76/24.02 thf(c_0_53, plain, ![X2:frac, X1:frac]:(fmoref @ X1 @ X2|~flessf @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])).
% 23.76/24.02 thf(c_0_54, plain, ![X1:frac, X3:frac, X4:frac, X2:frac]:(flessf @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X4)|~fmoref @ X3 @ X1|~fmoref @ X4 @ X2), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 23.76/24.02 thf(c_0_55, plain, (fmoref @ fx @ fy|~p2), inference(split_conjunct,[status(thm)],[c_0_49])).
% 23.76/24.02 thf(c_0_56, plain, p2, inference(split_conjunct,[status(thm)],[ax7])).
% 23.76/24.02 thf(c_0_57, plain, (fmoref @ fz @ fu|~p3), inference(split_conjunct,[status(thm)],[c_0_50])).
% 23.76/24.02 thf(c_0_58, plain, p3, inference(split_conjunct,[status(thm)],[ax6])).
% 23.76/24.02 thf(c_0_59, plain, ~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu), inference(sr,[status(thm)],[c_0_51, c_0_52])).
% 23.76/24.02 thf(c_0_60, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X4)|~fmoref @ X1 @ X3|~fmoref @ X2 @ X4), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 23.76/24.02 thf(c_0_61, plain, fmoref @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 23.76/24.02 thf(c_0_62, plain, fmoref @ fz @ fu, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])])).
% 23.76/24.02 thf(c_0_63, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61]), c_0_62])]), ['proof']).
% 23.76/24.02 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 23.76/24.02 thf(0,theorem,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 23.76/24.02 % SZS output end Proof
%------------------------------------------------------------------------------