%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM751^1 : 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 02:12:02 PM UTC 2025
% Result : Theorem 23.70s 23.88s
% Output : Proof 23.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM751^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n005.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 : 300
% 0.13/0.34 % DateTime : Wed Oct 8 23:13:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 23.70/23.88 % SZS status Theorem
% 23.70/23.88 % Mode: mode371
% 23.70/23.88 % Inferences: 6
% 23.70/23.88 % SZS output start Proof
% 23.70/23.88 thf(satz62d,conjecture,((moref @ ((pf @ z) @ x)) @ ((pf @ z) @ y))).
% 23.70/23.88 thf(h0,negated_conjecture,(~(((moref @ ((pf @ z) @ x)) @ ((pf @ z) @ y)))),inference(assume_negation,[status(cth)],[satz62d])).
% 23.70/23.88 thf(pax3, axiom, (p3=>![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X1 @ X2=>(feq @ X1 @ X3=>(feq @ X2 @ X4=>fmoref @ X3 @ X4)))), file('<stdin>', pax3)).
% 23.70/23.88 thf(pax5, axiom, (p5=>![X1:frac, X2:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)), file('<stdin>', pax5)).
% 23.70/23.88 thf(ax6, axiom, p3, file('<stdin>', ax6)).
% 23.70/23.88 thf(ax4, axiom, p5, file('<stdin>', ax4)).
% 23.70/23.88 thf(pax4, axiom, (p4=>![X1:frac, X2:frac, X3:frac]:(fmoref @ X1 @ X2=>fmoref @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X3))), file('<stdin>', pax4)).
% 23.70/23.88 thf(ax5, axiom, p4, file('<stdin>', ax5)).
% 23.70/23.88 thf(nax1, axiom, (p1<=fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)), file('<stdin>', nax1)).
% 23.70/23.88 thf(ax8, axiom, ~(p1), file('<stdin>', ax8)).
% 23.70/23.88 thf(pax2, axiom, (p2=>fmoref @ fx @ fy), file('<stdin>', pax2)).
% 23.70/23.88 thf(ax7, axiom, p2, file('<stdin>', ax7)).
% 23.70/23.88 thf(c_0_10, plain, ![X39:frac, X40:frac, X41:frac, X42:frac]:(~p3|(~fmoref @ X39 @ X40|(~feq @ X39 @ X41|(~feq @ X40 @ X42|fmoref @ X41 @ X42)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])).
% 23.70/23.88 thf(c_0_11, plain, ![X29:frac, X30:frac]:(~p5|feq @ (fpf @ X29 @ X30) @ (fpf @ X30 @ X29)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 23.70/23.88 thf(c_0_12, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(fmoref @ X3 @ X4|~p3|~fmoref @ X1 @ X2|~feq @ X1 @ X3|~feq @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_10])).
% 23.70/23.88 thf(c_0_13, plain, p3, inference(split_conjunct,[status(thm)],[ax6])).
% 23.70/23.88 thf(c_0_14, plain, ![X2:frac, X1:frac]:(feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_11])).
% 23.70/23.88 thf(c_0_15, plain, p5, inference(split_conjunct,[status(thm)],[ax4])).
% 23.70/23.88 thf(c_0_16, plain, ![X33:frac, X34:frac, X35:frac]:(~p4|(~fmoref @ X33 @ X34|fmoref @ (fpf @ X33 @ X35) @ (fpf @ X34 @ X35))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])])).
% 23.70/23.88 thf(c_0_17, 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_12, c_0_13])])).
% 23.70/23.88 thf(c_0_18, plain, ![X2:frac, X1:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 23.70/23.88 thf(c_0_19, plain, ![X1:frac, X3:frac, X2:frac]:(fmoref @ (fpf @ X1 @ X3) @ (fpf @ X2 @ X3)|~p4|~fmoref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_16])).
% 23.70/23.88 thf(c_0_20, plain, p4, inference(split_conjunct,[status(thm)],[ax5])).
% 23.70/23.88 thf(c_0_21, plain, (~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 23.70/23.88 thf(c_0_22, plain, ~p1, inference(fof_simplification,[status(thm)],[ax8])).
% 23.70/23.88 thf(c_0_23, 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_17, c_0_18])).
% 23.70/23.88 thf(c_0_24, 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_19, c_0_20])])).
% 23.70/23.88 thf(c_0_25, plain, (~p2|fmoref @ fx @ fy), inference(fof_nnf,[status(thm)],[pax2])).
% 23.70/23.88 thf(c_0_26, plain, (p1|~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)), inference(split_conjunct,[status(thm)],[c_0_21])).
% 23.70/23.88 thf(c_0_27, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_22])).
% 23.70/23.88 thf(c_0_28, 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_23, c_0_24])).
% 23.70/23.88 thf(c_0_29, plain, (fmoref @ fx @ fy|~p2), inference(split_conjunct,[status(thm)],[c_0_25])).
% 23.70/23.88 thf(c_0_30, plain, p2, inference(split_conjunct,[status(thm)],[ax7])).
% 23.70/23.88 thf(c_0_31, plain, ~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy), inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 23.70/23.88 thf(c_0_32, plain, ![X1:frac, X2:frac, X3:frac]:(fmoref @ (fpf @ X1 @ X2) @ (fpf @ X1 @ X3)|~fmoref @ X2 @ X3), inference(spm,[status(thm)],[c_0_28, c_0_18])).
% 23.70/23.88 thf(c_0_33, plain, fmoref @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 23.70/23.88 thf(c_0_34, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])]), ['proof']).
% 23.70/23.88 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 23.70/23.88 thf(0,theorem,((moref @ ((pf @ z) @ x)) @ ((pf @ z) @ y)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 23.70/23.88 % SZS output end Proof
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