TSTP Solution File: NUM753^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM753^1 : 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 : n010.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 : Mon Jul 18 13:56:06 EDT 2022
% Result : Theorem 44.14s 44.07s
% Output : Proof 44.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM753^1 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 07:29:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 44.14/44.07 % SZS status Theorem
% 44.14/44.07 % Mode: mode459
% 44.14/44.07 % Inferences: 43
% 44.14/44.07 % SZS output start Proof
% 44.14/44.07 thf(satz62g,conjecture,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u))).
% 44.14/44.07 thf(h0,negated_conjecture,(~(((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)))),inference(assume_negation,[status(cth)],[satz62g])).
% 44.14/44.07 thf(ax82, axiom, (~(p5)|p18), file('<stdin>', ax82)).
% 44.14/44.07 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)).
% 44.14/44.07 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)).
% 44.14/44.07 thf(ax44, axiom, (~(p18)|p55), file('<stdin>', ax44)).
% 44.14/44.07 thf(ax95, axiom, p5, file('<stdin>', ax95)).
% 44.14/44.07 thf(pax3, axiom, (p3=>fmoref @ fz @ fu), file('<stdin>', pax3)).
% 44.14/44.07 thf(ax96, axiom, p4, file('<stdin>', ax96)).
% 44.14/44.07 thf(ax93, axiom, p7, file('<stdin>', ax93)).
% 44.14/44.07 thf(pax55, axiom, (p55=>![X1:frac]:(fmoref @ fz @ fu=>fmoref @ (fpf @ X1 @ fz) @ (fpf @ X1 @ fu))), file('<stdin>', pax55)).
% 44.14/44.07 thf(ax97, axiom, p3, file('<stdin>', ax97)).
% 44.14/44.07 thf(pax6, axiom, (p6=>![X1:frac]:feq @ X1 @ X1), file('<stdin>', pax6)).
% 44.14/44.07 thf(nax1, axiom, (p1<=fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), file('<stdin>', nax1)).
% 44.14/44.07 thf(ax99, axiom, ~(p1), file('<stdin>', ax99)).
% 44.14/44.07 thf(ax94, axiom, p6, file('<stdin>', ax94)).
% 44.14/44.07 thf(pax2, axiom, (p2=>feq @ fx @ fy), file('<stdin>', pax2)).
% 44.14/44.07 thf(ax98, axiom, p2, file('<stdin>', ax98)).
% 44.14/44.07 thf(c_0_16, plain, (~p5|p18), inference(fof_simplification,[status(thm)],[ax82])).
% 44.14/44.07 thf(c_0_17, plain, ![X303:frac, X304:frac, X305:frac, X306:frac]:(~p4|(~fmoref @ X303 @ X304|(~feq @ X303 @ X305|(~feq @ X304 @ X306|fmoref @ X305 @ X306)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])])).
% 44.14/44.07 thf(c_0_18, plain, ![X287:frac, X288:frac, X289:frac, X290:frac]:(~p7|(~feq @ X287 @ X288|(~feq @ X289 @ X290|feq @ (fpf @ X287 @ X289) @ (fpf @ X288 @ X290)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 44.14/44.07 thf(c_0_19, plain, (~p18|p55), inference(fof_simplification,[status(thm)],[ax44])).
% 44.14/44.07 thf(c_0_20, plain, (p18|~p5), inference(split_conjunct,[status(thm)],[c_0_16])).
% 44.14/44.07 thf(c_0_21, plain, p5, inference(split_conjunct,[status(thm)],[ax95])).
% 44.14/44.07 thf(c_0_22, plain, (~p3|fmoref @ fz @ fu), inference(fof_nnf,[status(thm)],[pax3])).
% 44.14/44.07 thf(c_0_23, 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_17])).
% 44.14/44.07 thf(c_0_24, plain, p4, inference(split_conjunct,[status(thm)],[ax96])).
% 44.14/44.07 thf(c_0_25, 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_18])).
% 44.14/44.07 thf(c_0_26, plain, p7, inference(split_conjunct,[status(thm)],[ax93])).
% 44.14/44.07 thf(c_0_27, plain, ![X155:frac]:(~p55|(~fmoref @ fz @ fu|fmoref @ (fpf @ X155 @ fz) @ (fpf @ X155 @ fu))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax55])])])).
% 44.14/44.07 thf(c_0_28, plain, (p55|~p18), inference(split_conjunct,[status(thm)],[c_0_19])).
% 44.14/44.07 thf(c_0_29, plain, p18, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 44.14/44.07 thf(c_0_30, plain, (fmoref @ fz @ fu|~p3), inference(split_conjunct,[status(thm)],[c_0_22])).
% 44.14/44.07 thf(c_0_31, plain, p3, inference(split_conjunct,[status(thm)],[ax97])).
% 44.14/44.07 thf(c_0_32, 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_23, c_0_24])])).
% 44.14/44.07 thf(c_0_33, 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_25, c_0_26])])).
% 44.14/44.07 thf(c_0_34, plain, ![X1:frac]:(fmoref @ (fpf @ X1 @ fz) @ (fpf @ X1 @ fu)|~p55|~fmoref @ fz @ fu), inference(split_conjunct,[status(thm)],[c_0_27])).
% 44.14/44.07 thf(c_0_35, plain, p55, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 44.14/44.07 thf(c_0_36, plain, fmoref @ fz @ fu, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 44.14/44.07 thf(c_0_37, plain, ![X295:frac]:(~p6|feq @ X295 @ X295), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 44.14/44.07 thf(c_0_38, plain, (~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 44.14/44.07 thf(c_0_39, plain, ~p1, inference(fof_simplification,[status(thm)],[ax99])).
% 44.14/44.07 thf(c_0_40, 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_32, c_0_33])).
% 44.14/44.07 thf(c_0_41, plain, ![X1:frac]:fmoref @ (fpf @ X1 @ fz) @ (fpf @ X1 @ fu), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_36])])).
% 44.14/44.07 thf(c_0_42, plain, ![X1:frac]:(feq @ X1 @ X1|~p6), inference(split_conjunct,[status(thm)],[c_0_37])).
% 44.14/44.07 thf(c_0_43, plain, p6, inference(split_conjunct,[status(thm)],[ax94])).
% 44.14/44.07 thf(c_0_44, plain, (~p2|feq @ fx @ fy), inference(fof_nnf,[status(thm)],[pax2])).
% 44.14/44.07 thf(c_0_45, plain, (p1|~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu)), inference(split_conjunct,[status(thm)],[c_0_38])).
% 44.14/44.07 thf(c_0_46, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_39])).
% 44.14/44.07 thf(c_0_47, plain, ![X1:frac, X4:frac, X3:frac, X2:frac]:(fmoref @ X1 @ (fpf @ X2 @ X3)|~feq @ (fpf @ X4 @ fz) @ X1|~feq @ fu @ X3|~feq @ X4 @ X2), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 44.14/44.07 thf(c_0_48, plain, ![X1:frac]:feq @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 44.14/44.07 thf(c_0_49, plain, (feq @ fx @ fy|~p2), inference(split_conjunct,[status(thm)],[c_0_44])).
% 44.14/44.07 thf(c_0_50, plain, p2, inference(split_conjunct,[status(thm)],[ax98])).
% 44.14/44.07 thf(c_0_51, plain, ~fmoref @ (fpf @ fx @ fz) @ (fpf @ fy @ fu), inference(sr,[status(thm)],[c_0_45, c_0_46])).
% 44.14/44.07 thf(c_0_52, plain, ![X1:frac, X3:frac, X2:frac]:(fmoref @ (fpf @ X1 @ fz) @ (fpf @ X2 @ X3)|~feq @ fu @ X3|~feq @ X1 @ X2), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 44.14/44.07 thf(c_0_53, plain, feq @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50])])).
% 44.14/44.07 thf(c_0_54, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_48]), c_0_53])]), ['proof']).
% 44.14/44.07 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 44.14/44.07 thf(0,theorem,((moref @ ((pf @ x) @ z)) @ ((pf @ y) @ u)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 44.14/44.07 % SZS output end Proof
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