TSTP Solution File: ALG261^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ALG261^2 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n019.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 : Thu Jul 14 17:57:49 EDT 2022
% Result : Theorem 0.55s 0.73s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG261^2 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 06:42:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.73 % SZS status Theorem
% 0.55/0.73 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 0.55/0.73 % Inferences: 59
% 0.55/0.73 % SZS output start Proof
% 0.55/0.73 thf(def_axvarid,definition,(axvarid = (![X1:term]:(((sub @ X1) @ id) = X1)))).
% 0.55/0.73 thf(def_apnotvar,definition,(apnotvar = (![X1:term]:(![X2:term]:(~((var @ ((ap @ X1) @ X2)))))))).
% 0.55/0.73 thf(def_hoasap,definition,(hoasap = (^[X1:subst]:(^[X2:term]:(^[X3:subst]:(ap @ ((sub @ X2) @ X3))))))).
% 0.55/0.73 thf(def_hoasvar,definition,(hoasvar = (^[X1:subst]:(^[X2:term]:(^[X3:subst]:(var @ ((sub @ X2) @ X3))))))).
% 0.55/0.73 thf(def_hoasapnotvar,definition,(hoasapnotvar = (![X1:term]:(![X2:term]:(~((((hoasvar @ id) @ ((((hoasap @ id) @ X1) @ id) @ X2)) @ id))))))).
% 0.55/0.73 thf(def_hoasapnotvar_lthm,definition,(hoasapnotvar_lthm = (axvarid => (apnotvar => hoasapnotvar)))).
% 0.55/0.73 thf(thm,conjecture,((![X1:term]:(((sub @ X1) @ id) = X1)) => ((![X1:term]:(![X2:term]:(~((var @ ((ap @ X1) @ X2)))))) => (![X1:term]:(![X2:term]:(~((var @ ((sub @ ((ap @ ((sub @ X1) @ id)) @ X2)) @ id))))))))).
% 0.55/0.73 thf(h0,negated_conjecture,(~(((![X1:term]:(((sub @ X1) @ id) = X1)) => ((![X1:term]:(![X2:term]:(~((var @ ((ap @ X1) @ X2)))))) => (![X1:term]:(![X2:term]:(~((var @ ((sub @ ((ap @ ((sub @ X1) @ id)) @ X2)) @ id)))))))))),inference(assume_negation,[status(cth)],[thm])).
% 0.55/0.73 thf(ax1184, axiom, (p1|~(p3)), file('<stdin>', ax1184)).
% 0.55/0.73 thf(ax1186, axiom, ~(p1), file('<stdin>', ax1186)).
% 0.55/0.73 thf(ax1182, axiom, (p3|~(p5)), file('<stdin>', ax1182)).
% 0.55/0.73 thf(ax1179, axiom, (p5|~(p8)), file('<stdin>', ax1179)).
% 0.55/0.73 thf(ax1112, axiom, (~(p20)|p77), file('<stdin>', ax1112)).
% 0.55/0.73 thf(ax1111, axiom, (~(p77)|p76), file('<stdin>', ax1111)).
% 0.55/0.73 thf(ax1171, axiom, p20, file('<stdin>', ax1171)).
% 0.55/0.73 thf(ax1107, axiom, (~(p2)|p73), file('<stdin>', ax1107)).
% 0.55/0.73 thf(ax1185, axiom, (p1|p2), file('<stdin>', ax1185)).
% 0.55/0.73 thf(ax1110, axiom, (~(p76)|~(p57)|p75), file('<stdin>', ax1110)).
% 0.55/0.73 thf(ax1127, axiom, (p8|p57), file('<stdin>', ax1127)).
% 0.55/0.73 thf(ax1108, axiom, (~(p74)|~(p73)|p72), file('<stdin>', ax1108)).
% 0.55/0.73 thf(ax1109, axiom, (~(p75)|p74), file('<stdin>', ax1109)).
% 0.55/0.73 thf(pax2, axiom, (p2=>![X1:term]:(fsub @ X1 @ fid)=(X1)), file('<stdin>', pax2)).
% 0.55/0.73 thf(pax4, axiom, (p4=>![X1:term, X2:term]:~(fvar @ (fap @ X1 @ X2))), file('<stdin>', pax4)).
% 0.55/0.73 thf(ax1183, axiom, (p3|p4), file('<stdin>', ax1183)).
% 0.55/0.73 thf(pax72, axiom, (p72=>fvar @ (fap @ (fsub @ f__1 @ fid) @ f__2)), file('<stdin>', pax72)).
% 0.55/0.73 thf(c_0_17, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax1184])).
% 0.55/0.73 thf(c_0_18, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1186])).
% 0.55/0.73 thf(c_0_19, plain, (p3|~p5), inference(fof_simplification,[status(thm)],[ax1182])).
% 0.55/0.73 thf(c_0_20, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_17])).
% 0.55/0.73 thf(c_0_21, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_18])).
% 0.55/0.73 thf(c_0_22, plain, (p5|~p8), inference(fof_simplification,[status(thm)],[ax1179])).
% 0.55/0.73 thf(c_0_23, plain, (p3|~p5), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.55/0.73 thf(c_0_24, plain, ~p3, inference(sr,[status(thm)],[c_0_20, c_0_21])).
% 0.55/0.73 thf(c_0_25, plain, (~p20|p77), inference(fof_simplification,[status(thm)],[ax1112])).
% 0.55/0.73 thf(c_0_26, plain, (p5|~p8), inference(split_conjunct,[status(thm)],[c_0_22])).
% 0.55/0.73 thf(c_0_27, plain, ~p5, inference(sr,[status(thm)],[c_0_23, c_0_24])).
% 0.55/0.73 thf(c_0_28, plain, (~p77|p76), inference(fof_simplification,[status(thm)],[ax1111])).
% 0.55/0.73 thf(c_0_29, plain, (p77|~p20), inference(split_conjunct,[status(thm)],[c_0_25])).
% 0.55/0.73 thf(c_0_30, plain, p20, inference(split_conjunct,[status(thm)],[ax1171])).
% 0.55/0.73 thf(c_0_31, plain, (~p2|p73), inference(fof_simplification,[status(thm)],[ax1107])).
% 0.55/0.73 thf(c_0_32, plain, (p1|p2), inference(split_conjunct,[status(thm)],[ax1185])).
% 0.55/0.73 thf(c_0_33, plain, (~p76|~p57|p75), inference(fof_simplification,[status(thm)],[ax1110])).
% 0.55/0.73 thf(c_0_34, plain, (p8|p57), inference(split_conjunct,[status(thm)],[ax1127])).
% 0.55/0.73 thf(c_0_35, plain, ~p8, inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 0.55/0.73 thf(c_0_36, plain, (p76|~p77), inference(split_conjunct,[status(thm)],[c_0_28])).
% 0.55/0.73 thf(c_0_37, plain, p77, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 0.55/0.73 thf(c_0_38, plain, (~p74|~p73|p72), inference(fof_simplification,[status(thm)],[ax1108])).
% 0.55/0.73 thf(c_0_39, plain, (p73|~p2), inference(split_conjunct,[status(thm)],[c_0_31])).
% 0.55/0.73 thf(c_0_40, plain, p2, inference(sr,[status(thm)],[c_0_32, c_0_21])).
% 0.55/0.73 thf(c_0_41, plain, (~p75|p74), inference(fof_simplification,[status(thm)],[ax1109])).
% 0.55/0.73 thf(c_0_42, plain, (p75|~p76|~p57), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.55/0.73 thf(c_0_43, plain, p57, inference(sr,[status(thm)],[c_0_34, c_0_35])).
% 0.55/0.73 thf(c_0_44, plain, p76, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 0.55/0.73 thf(c_0_45, plain, ![X1187:term]:(~p2|(fsub @ X1187 @ fid)=(X1187)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 0.55/0.73 thf(c_0_46, plain, (p72|~p74|~p73), inference(split_conjunct,[status(thm)],[c_0_38])).
% 0.55/0.73 thf(c_0_47, plain, p73, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 0.55/0.73 thf(c_0_48, plain, (p74|~p75), inference(split_conjunct,[status(thm)],[c_0_41])).
% 0.55/0.73 thf(c_0_49, plain, p75, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43]), c_0_44])])).
% 0.55/0.73 thf(c_0_50, plain, ![X1175:term, X1176:term]:(~p4|~fvar @ (fap @ X1175 @ X1176)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax4])])])])).
% 0.55/0.73 thf(c_0_51, plain, (p3|p4), inference(split_conjunct,[status(thm)],[ax1183])).
% 0.55/0.73 thf(c_0_52, plain, (~p72|fvar @ (fap @ (fsub @ f__1 @ fid) @ f__2)), inference(fof_nnf,[status(thm)],[pax72])).
% 0.55/0.73 thf(c_0_53, plain, ![X1:term]:((fsub @ X1 @ fid)=(X1)|~p2), inference(split_conjunct,[status(thm)],[c_0_45])).
% 0.55/0.73 thf(c_0_54, plain, (p72|~p74), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 0.55/0.73 thf(c_0_55, plain, p74, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 0.55/0.73 thf(c_0_56, plain, ![X1:term, X2:term]:(~p4|~fvar @ (fap @ X1 @ X2)), inference(split_conjunct,[status(thm)],[c_0_50])).
% 0.55/0.73 thf(c_0_57, plain, p4, inference(sr,[status(thm)],[c_0_51, c_0_24])).
% 0.55/0.73 thf(c_0_58, plain, (fvar @ (fap @ (fsub @ f__1 @ fid) @ f__2)|~p72), inference(split_conjunct,[status(thm)],[c_0_52])).
% 0.55/0.73 thf(c_0_59, plain, ![X1:term]:(fsub @ X1 @ fid)=(X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_40])])).
% 0.55/0.73 thf(c_0_60, plain, p72, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 0.55/0.73 thf(c_0_61, plain, ![X1:term, X2:term]:~fvar @ (fap @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 0.55/0.73 thf(c_0_62, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59]), c_0_60])]), c_0_61]), ['proof']).
% 0.55/0.73 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 0.55/0.73 thf(0,theorem,((![X1:term]:(((sub @ X1) @ id) = X1)) => ((![X1:term]:(![X2:term]:(~((var @ ((ap @ X1) @ X2)))))) => (![X1:term]:(![X2:term]:(~((var @ ((sub @ ((ap @ ((sub @ X1) @ id)) @ X2)) @ id)))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 0.55/0.73 % SZS output end Proof
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