TSTP Solution File: NUM758^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM758^1 : 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 : n029.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 13:56:12 EDT 2022
% Result : Theorem 2.13s 2.67s
% Output : Proof 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM758^1 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n029.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 : Wed Jul 6 20:27:28 EDT 2022
% 0.19/0.33 % CPUTime :
% 2.13/2.67 % SZS status Theorem
% 2.13/2.67 % Mode: mode506
% 2.13/2.67 % Inferences: 38882
% 2.13/2.67 % SZS output start Proof
% 2.13/2.67 thf(satz63d,conjecture,((moref @ x) @ y)).
% 2.13/2.67 thf(h0,negated_conjecture,(~(((moref @ x) @ y))),inference(assume_negation,[status(cth)],[satz63d])).
% 2.13/2.67 thf(ax975, axiom, (~(p4)|p17), file('<stdin>', ax975)).
% 2.13/2.67 thf(ax952, axiom, (~(p17)|p39), file('<stdin>', ax952)).
% 2.13/2.67 thf(ax988, axiom, p4, file('<stdin>', ax988)).
% 2.13/2.67 thf(ax955, axiom, (~(p5)|p36), file('<stdin>', ax955)).
% 2.13/2.67 thf(ax984, axiom, (~(p3)|p8), file('<stdin>', ax984)).
% 2.13/2.67 thf(ax849, axiom, (~(p39)|p151), file('<stdin>', ax849)).
% 2.13/2.67 thf(pax36, axiom, (p36=>![X1:frac]:feq @ (fpf @ fz @ X1) @ (fpf @ X1 @ fz)), file('<stdin>', pax36)).
% 2.13/2.67 thf(ax987, axiom, p5, file('<stdin>', ax987)).
% 2.13/2.67 thf(pax2, axiom, (p2=>fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)), file('<stdin>', pax2)).
% 2.13/2.67 thf(ax736, axiom, (~(p8)|p264), file('<stdin>', ax736)).
% 2.13/2.67 thf(ax989, axiom, p3, file('<stdin>', ax989)).
% 2.13/2.67 thf(nax1, axiom, (p1<=fmoref @ fx @ fy), file('<stdin>', nax1)).
% 2.13/2.67 thf(ax991, axiom, ~(p1), file('<stdin>', ax991)).
% 2.13/2.67 thf(pax151, axiom, (p151=>![X1:frac]:(fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)=>(feq @ (fpf @ fz @ fx) @ (fpf @ fx @ fz)=>(feq @ (fpf @ fz @ fy) @ X1=>fmoref @ (fpf @ fx @ fz) @ X1)))), file('<stdin>', pax151)).
% 2.13/2.67 thf(ax990, axiom, p2, file('<stdin>', ax990)).
% 2.13/2.67 thf(pax5, axiom, (p5=>![X1:frac, X2:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)), file('<stdin>', pax5)).
% 2.13/2.67 thf(pax264, axiom, (p264=>![X1:frac]:(fmoref @ (fpf @ fx @ X1) @ (fpf @ fy @ X1)=>fmoref @ fx @ fy)), file('<stdin>', pax264)).
% 2.13/2.67 thf(c_0_17, plain, (~p4|p17), inference(fof_simplification,[status(thm)],[ax975])).
% 2.13/2.67 thf(c_0_18, plain, (~p17|p39), inference(fof_simplification,[status(thm)],[ax952])).
% 2.13/2.67 thf(c_0_19, plain, (p17|~p4), inference(split_conjunct,[status(thm)],[c_0_17])).
% 2.13/2.67 thf(c_0_20, plain, p4, inference(split_conjunct,[status(thm)],[ax988])).
% 2.13/2.67 thf(c_0_21, plain, (~p5|p36), inference(fof_simplification,[status(thm)],[ax955])).
% 2.13/2.67 thf(c_0_22, plain, (~p3|p8), inference(fof_simplification,[status(thm)],[ax984])).
% 2.13/2.67 thf(c_0_23, plain, (~p39|p151), inference(fof_simplification,[status(thm)],[ax849])).
% 2.13/2.67 thf(c_0_24, plain, (p39|~p17), inference(split_conjunct,[status(thm)],[c_0_18])).
% 2.13/2.67 thf(c_0_25, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 2.13/2.67 thf(c_0_26, plain, ![X1213:frac]:(~p36|feq @ (fpf @ fz @ X1213) @ (fpf @ X1213 @ fz)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax36])])])).
% 2.13/2.67 thf(c_0_27, plain, (p36|~p5), inference(split_conjunct,[status(thm)],[c_0_21])).
% 2.13/2.67 thf(c_0_28, plain, p5, inference(split_conjunct,[status(thm)],[ax987])).
% 2.13/2.67 thf(c_0_29, plain, (~p2|fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)), inference(fof_nnf,[status(thm)],[pax2])).
% 2.13/2.67 thf(c_0_30, plain, (~p8|p264), inference(fof_simplification,[status(thm)],[ax736])).
% 2.13/2.67 thf(c_0_31, plain, (p8|~p3), inference(split_conjunct,[status(thm)],[c_0_22])).
% 2.13/2.67 thf(c_0_32, plain, p3, inference(split_conjunct,[status(thm)],[ax989])).
% 2.13/2.67 thf(c_0_33, plain, (~fmoref @ fx @ fy|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 2.13/2.67 thf(c_0_34, plain, ~p1, inference(fof_simplification,[status(thm)],[ax991])).
% 2.13/2.67 thf(c_0_35, plain, ![X1101:frac]:(~p151|(~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)|(~feq @ (fpf @ fz @ fx) @ (fpf @ fx @ fz)|(~feq @ (fpf @ fz @ fy) @ X1101|fmoref @ (fpf @ fx @ fz) @ X1101)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax151])])])).
% 2.13/2.67 thf(c_0_36, plain, (p151|~p39), inference(split_conjunct,[status(thm)],[c_0_23])).
% 2.13/2.67 thf(c_0_37, plain, p39, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 2.13/2.67 thf(c_0_38, plain, ![X1:frac]:(feq @ (fpf @ fz @ X1) @ (fpf @ X1 @ fz)|~p36), inference(split_conjunct,[status(thm)],[c_0_26])).
% 2.13/2.67 thf(c_0_39, plain, p36, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
% 2.13/2.67 thf(c_0_40, plain, (fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)|~p2), inference(split_conjunct,[status(thm)],[c_0_29])).
% 2.13/2.67 thf(c_0_41, plain, p2, inference(split_conjunct,[status(thm)],[ax990])).
% 2.13/2.67 thf(c_0_42, plain, ![X1295:frac, X1296:frac]:(~p5|feq @ (fpf @ X1295 @ X1296) @ (fpf @ X1296 @ X1295)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 2.13/2.67 thf(c_0_43, plain, ![X925:frac]:(~p264|(~fmoref @ (fpf @ fx @ X925) @ (fpf @ fy @ X925)|fmoref @ fx @ fy)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax264])])])).
% 2.13/2.67 thf(c_0_44, plain, (p264|~p8), inference(split_conjunct,[status(thm)],[c_0_30])).
% 2.13/2.67 thf(c_0_45, plain, p8, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 2.13/2.67 thf(c_0_46, plain, (p1|~fmoref @ fx @ fy), inference(split_conjunct,[status(thm)],[c_0_33])).
% 2.13/2.67 thf(c_0_47, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_34])).
% 2.13/2.67 thf(c_0_48, plain, ![X1:frac]:(fmoref @ (fpf @ fx @ fz) @ X1|~p151|~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)|~feq @ (fpf @ fz @ fx) @ (fpf @ fx @ fz)|~feq @ (fpf @ fz @ fy) @ X1), inference(split_conjunct,[status(thm)],[c_0_35])).
% 2.13/2.67 thf(c_0_49, plain, p151, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 2.13/2.67 thf(c_0_50, plain, ![X1:frac]:feq @ (fpf @ fz @ X1) @ (fpf @ X1 @ fz), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 2.13/2.67 thf(c_0_51, plain, fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
% 2.13/2.67 thf(c_0_52, plain, ![X2:frac, X1:frac]:(feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_42])).
% 2.13/2.67 thf(c_0_53, plain, ![X1:frac]:(fmoref @ fx @ fy|~p264|~fmoref @ (fpf @ fx @ X1) @ (fpf @ fy @ X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
% 2.13/2.67 thf(c_0_54, plain, p264, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])).
% 2.13/2.67 thf(c_0_55, plain, ~fmoref @ fx @ fy, inference(sr,[status(thm)],[c_0_46, c_0_47])).
% 2.13/2.67 thf(c_0_56, plain, ![X1:frac]:(fmoref @ (fpf @ fx @ fz) @ X1|~feq @ (fpf @ fz @ fy) @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])])).
% 2.13/2.67 thf(c_0_57, plain, ![X2:frac, X1:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_28])])).
% 2.13/2.67 thf(c_0_58, plain, ![X1:frac]:~fmoref @ (fpf @ fx @ X1) @ (fpf @ fy @ X1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])]), c_0_55])).
% 2.13/2.67 thf(c_0_59, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), ['proof']).
% 2.13/2.67 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.13/2.67 thf(0,theorem,((moref @ x) @ y),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.13/2.67 % SZS output end Proof
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