TSTP Solution File: NUM751^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM751^1 : 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 : n016.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 13:56:05 EDT 2022
% Result : Theorem 44.13s 44.05s
% Output : Proof 44.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM751^1 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.11 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jul 6 11:51:20 EDT 2022
% 0.12/0.32 % CPUTime :
% 44.13/44.05 % SZS status Theorem
% 44.13/44.05 % Mode: mode459
% 44.13/44.05 % Inferences: 39
% 44.13/44.05 % SZS output start Proof
% 44.13/44.05 thf(satz62d,conjecture,((moref @ ((pf @ z) @ x)) @ ((pf @ z) @ y))).
% 44.13/44.05 thf(h0,negated_conjecture,(~(((moref @ ((pf @ z) @ x)) @ ((pf @ z) @ y)))),inference(assume_negation,[status(cth)],[satz62d])).
% 44.13/44.05 thf(ax84, axiom, (~(p4)|p16), file('<stdin>', ax84)).
% 44.13/44.05 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)).
% 44.13/44.05 thf(pax5, axiom, (p5=>![X1:frac, X2:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)), file('<stdin>', pax5)).
% 44.13/44.05 thf(ax51, axiom, (~(p16)|p48), file('<stdin>', ax51)).
% 44.13/44.05 thf(ax96, axiom, p4, file('<stdin>', ax96)).
% 44.13/44.05 thf(pax2, axiom, (p2=>fmoref @ fx @ fy), file('<stdin>', pax2)).
% 44.13/44.05 thf(ax97, axiom, p3, file('<stdin>', ax97)).
% 44.13/44.05 thf(ax95, axiom, p5, file('<stdin>', ax95)).
% 44.13/44.05 thf(pax48, axiom, (p48=>![X1:frac]:(fmoref @ fx @ fy=>fmoref @ (fpf @ fx @ X1) @ (fpf @ fy @ X1))), file('<stdin>', pax48)).
% 44.13/44.05 thf(ax98, axiom, p2, file('<stdin>', ax98)).
% 44.13/44.05 thf(nax1, axiom, (p1<=fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)), file('<stdin>', nax1)).
% 44.13/44.05 thf(ax99, axiom, ~(p1), file('<stdin>', ax99)).
% 44.13/44.05 thf(c_0_12, plain, (~p4|p16), inference(fof_simplification,[status(thm)],[ax84])).
% 44.13/44.05 thf(c_0_13, plain, ![X237:frac, X238:frac, X239:frac, X240:frac]:(~p3|(~fmoref @ X237 @ X238|(~feq @ X237 @ X239|(~feq @ X238 @ X240|fmoref @ X239 @ X240)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])).
% 44.13/44.05 thf(c_0_14, plain, ![X227:frac, X228:frac]:(~p5|feq @ (fpf @ X227 @ X228) @ (fpf @ X228 @ X227)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 44.13/44.05 thf(c_0_15, plain, (~p16|p48), inference(fof_simplification,[status(thm)],[ax51])).
% 44.13/44.05 thf(c_0_16, plain, (p16|~p4), inference(split_conjunct,[status(thm)],[c_0_12])).
% 44.13/44.05 thf(c_0_17, plain, p4, inference(split_conjunct,[status(thm)],[ax96])).
% 44.13/44.05 thf(c_0_18, plain, (~p2|fmoref @ fx @ fy), inference(fof_nnf,[status(thm)],[pax2])).
% 44.13/44.05 thf(c_0_19, 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_13])).
% 44.13/44.05 thf(c_0_20, plain, p3, inference(split_conjunct,[status(thm)],[ax97])).
% 44.13/44.05 thf(c_0_21, plain, ![X2:frac, X1:frac]:(feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_14])).
% 44.13/44.05 thf(c_0_22, plain, p5, inference(split_conjunct,[status(thm)],[ax95])).
% 44.13/44.05 thf(c_0_23, plain, ![X115:frac]:(~p48|(~fmoref @ fx @ fy|fmoref @ (fpf @ fx @ X115) @ (fpf @ fy @ X115))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax48])])])).
% 44.13/44.05 thf(c_0_24, plain, (p48|~p16), inference(split_conjunct,[status(thm)],[c_0_15])).
% 44.13/44.05 thf(c_0_25, plain, p16, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 44.13/44.05 thf(c_0_26, plain, (fmoref @ fx @ fy|~p2), inference(split_conjunct,[status(thm)],[c_0_18])).
% 44.13/44.05 thf(c_0_27, plain, p2, inference(split_conjunct,[status(thm)],[ax98])).
% 44.13/44.05 thf(c_0_28, 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_19, c_0_20])])).
% 44.13/44.05 thf(c_0_29, plain, ![X2:frac, X1:frac]:feq @ (fpf @ X1 @ X2) @ (fpf @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 44.13/44.05 thf(c_0_30, plain, ![X1:frac]:(fmoref @ (fpf @ fx @ X1) @ (fpf @ fy @ X1)|~p48|~fmoref @ fx @ fy), inference(split_conjunct,[status(thm)],[c_0_23])).
% 44.13/44.05 thf(c_0_31, plain, p48, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 44.13/44.05 thf(c_0_32, plain, fmoref @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 44.13/44.05 thf(c_0_33, plain, (~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 44.13/44.05 thf(c_0_34, plain, ~p1, inference(fof_simplification,[status(thm)],[ax99])).
% 44.13/44.05 thf(c_0_35, 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_28, c_0_29])).
% 44.13/44.05 thf(c_0_36, plain, ![X1:frac]:fmoref @ (fpf @ fx @ X1) @ (fpf @ fy @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31]), c_0_32])])).
% 44.13/44.05 thf(c_0_37, plain, (p1|~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy)), inference(split_conjunct,[status(thm)],[c_0_33])).
% 44.13/44.05 thf(c_0_38, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_34])).
% 44.13/44.05 thf(c_0_39, plain, ![X2:frac, X1:frac]:(fmoref @ X1 @ (fpf @ X2 @ fy)|~feq @ (fpf @ fx @ X2) @ X1), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 44.13/44.05 thf(c_0_40, plain, ~fmoref @ (fpf @ fz @ fx) @ (fpf @ fz @ fy), inference(sr,[status(thm)],[c_0_37, c_0_38])).
% 44.13/44.05 thf(c_0_41, plain, ![X1:frac]:fmoref @ (fpf @ X1 @ fx) @ (fpf @ X1 @ fy), inference(spm,[status(thm)],[c_0_39, c_0_29])).
% 44.13/44.05 thf(c_0_42, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])]), ['proof']).
% 44.13/44.05 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 44.13/44.05 thf(0,theorem,((moref @ ((pf @ z) @ x)) @ ((pf @ z) @ y)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 44.13/44.05 % SZS output end Proof
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