%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM753^1 : 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 : n022.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 02:12:03 PM UTC 2025
% Result : Theorem 23.80s 23.95s
% Output : Proof 23.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : NUM753^1 : TPTP v9.2.0. Released v3.7.0.
% 0.05/0.15 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Oct 8 22:54:08 EDT 2025
% 0.15/0.37 % CPUTime :
% 23.80/23.95 % SZS status Theorem
% 23.80/23.95 % Mode: mode371
% 23.80/23.95 % Inferences: 4
% 23.80/23.95 % SZS output start Proof
% 23.80/23.95 thf(satz62g,conjecture,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u))).
% 23.80/23.95 thf(h0,negated_conjecture,(~(((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)))),inference(assume_negation,[status(cth)],[satz62g])).
% 23.80/23.95 thf(pax4, axiom, (p4=>![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X1 @ X2=>(feq @ X1 @ X3=>(feq @ X2 @ X4=>fmoref @ X3 @ X4)))), file('<stdin>', pax4)).
% 23.80/23.95 thf(pax7, axiom, (p7=>![X1:frac, X2:frac, X3:frac, X4:frac]:(feq @ X1 @ X2=>(feq @ X3 @ X4=>feq @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X4)))), file('<stdin>', pax7)).
% 23.80/23.95 thf(ax5, axiom, p4, file('<stdin>', ax5)).
% 23.80/23.95 thf(ax2, axiom, p7, file('<stdin>', ax2)).
% 23.80/23.95 thf(pax5, axiom, (p5=>![X1:frac, X2:frac, X3:frac]:(fmoref @ X1 @ X2=>fmoref @ (fpf @ X3 @ X1) @ (fpf @ X3 @ X2))), file('<stdin>', pax5)).
% 23.80/23.95 thf(ax4, axiom, p5, file('<stdin>', ax4)).
% 23.80/23.95 thf(pax6, axiom, (p6=>![X1:frac]:feq @ X1 @ X1), file('<stdin>', pax6)).
% 23.80/23.95 thf(ax3, axiom, p6, file('<stdin>', ax3)).
% 23.80/23.95 thf(nax1, axiom, (p1<=fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), file('<stdin>', nax1)).
% 23.80/23.95 thf(ax8, axiom, ~(p1), file('<stdin>', ax8)).
% 23.80/23.95 thf(pax2, axiom, (p2=>feq @ fx @ fy), file('<stdin>', pax2)).
% 23.80/23.95 thf(pax3, axiom, (p3=>fmoref @ fz @ fu), file('<stdin>', pax3)).
% 23.80/23.95 thf(ax7, axiom, p2, file('<stdin>', ax7)).
% 23.80/23.95 thf(ax6, axiom, p3, file('<stdin>', ax6)).
% 23.80/23.95 thf(c_0_14, plain, ![X37:frac, X38:frac, X39:frac, X40:frac]:(~p4|(~fmoref @ X37 @ X38|(~feq @ X37 @ X39|(~feq @ X38 @ X40|fmoref @ X39 @ X40)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])])).
% 23.80/23.95 thf(c_0_15, plain, ![X21:frac, X22:frac, X23:frac, X24:frac]:(~p7|(~feq @ X21 @ X22|(~feq @ X23 @ X24|feq @ (fpf @ X21 @ X23) @ (fpf @ X22 @ X24)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 23.80/23.95 thf(c_0_16, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X3 @ X4|~p4|~fmoref @ X1 @ X2|~feq @ X1 @ X3|~feq @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_14])).
% 23.80/23.95 thf(c_0_17, plain, p4, inference(split_conjunct,[status(thm)],[ax5])).
% 23.80/23.95 thf(c_0_18, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(feq @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X4)|~p7|~feq @ X1 @ X2|~feq @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_15])).
% 23.80/23.95 thf(c_0_19, plain, p7, inference(split_conjunct,[status(thm)],[ax2])).
% 23.80/23.95 thf(c_0_20, plain, ![X31:frac, X32:frac, X33:frac]:(~p5|(~fmoref @ X31 @ X32|fmoref @ (fpf @ X33 @ X31) @ (fpf @ X33 @ X32))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 23.80/23.95 thf(c_0_21, 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_16, c_0_17])])).
% 23.80/23.95 thf(c_0_22, 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_18, c_0_19])])).
% 23.80/23.95 thf(c_0_23, plain, ![X1:frac, X3:frac, X2:frac]:(fmoref @ (fpf @ X3 @ X1) @ (fpf @ X3 @ X2)|~p5|~fmoref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_20])).
% 23.80/23.95 thf(c_0_24, plain, p5, inference(split_conjunct,[status(thm)],[ax4])).
% 23.80/23.95 thf(c_0_25, plain, ![X29:frac]:(~p6|feq @ X29 @ X29), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 23.80/23.95 thf(c_0_26, 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_21, c_0_22])).
% 23.80/23.95 thf(c_0_27, plain, ![X1:frac, X2:frac, X3:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X1 @ X3)|~fmoref @ X2 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 23.80/23.95 thf(c_0_28, plain, ![X1:frac]:(feq @ X1 @ X1|~p6), inference(split_conjunct,[status(thm)],[c_0_25])).
% 23.80/23.95 thf(c_0_29, plain, p6, inference(split_conjunct,[status(thm)],[ax3])).
% 23.80/23.95 thf(c_0_30, plain, (~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 23.80/23.95 thf(c_0_31, plain, ~p1, inference(fof_simplification,[status(thm)],[ax8])).
% 23.80/23.95 thf(c_0_32, plain, ![X1:frac, X2:frac, X4:frac, X3:frac, X5:frac, X6:frac]:(fmoref @ X1 @ (fpf @ X2 @ X3)|~feq @ (fpf @ X4 @ X5) @ X1|~feq @ X6 @ X3|~feq @ X4 @ X2|~fmoref @ X5 @ X6), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 23.80/23.95 thf(c_0_33, plain, ![X1:frac]:feq @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 23.80/23.95 thf(c_0_34, plain, (~p2|feq @ fx @ fy), inference(fof_nnf,[status(thm)],[pax2])).
% 23.80/23.95 thf(c_0_35, plain, (~p3|fmoref @ fz @ fu), inference(fof_nnf,[status(thm)],[pax3])).
% 23.80/23.95 thf(c_0_36, plain, (p1|~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 23.80/23.95 thf(c_0_37, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_31])).
% 23.80/23.95 thf(c_0_38, plain, ![X1:frac, X2:frac, X4:frac, X3:frac, X5:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X4)|~feq @ X5 @ X4|~feq @ X1 @ X3|~fmoref @ X2 @ X5), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 23.80/23.95 thf(c_0_39, plain, (feq @ fx @ fy|~p2), inference(split_conjunct,[status(thm)],[c_0_34])).
% 23.80/23.95 thf(c_0_40, plain, p2, inference(split_conjunct,[status(thm)],[ax7])).
% 23.80/23.95 thf(c_0_41, plain, (fmoref @ fz @ fu|~p3), inference(split_conjunct,[status(thm)],[c_0_35])).
% 23.80/23.95 thf(c_0_42, plain, p3, inference(split_conjunct,[status(thm)],[ax6])).
% 23.80/23.95 thf(c_0_43, plain, ~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu), inference(sr,[status(thm)],[c_0_36, c_0_37])).
% 23.80/23.95 thf(c_0_44, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X3 @ X4)|~feq @ X1 @ X3|~fmoref @ X2 @ X4), inference(spm,[status(thm)],[c_0_38, c_0_33])).
% 23.80/23.95 thf(c_0_45, plain, feq @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 23.80/23.95 thf(c_0_46, plain, fmoref @ fz @ fu, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 23.80/23.95 thf(c_0_47, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46])]), ['proof']).
% 23.80/23.95 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 23.80/23.95 thf(0,theorem,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 23.80/23.95 % SZS output end Proof
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