TSTP Solution File: LCL710^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL710^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n015.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 : Sun Jul 17 14:10:31 EDT 2022
% Result : Theorem 37.62s 37.88s
% Output : Proof 37.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL710^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.08/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 13:30:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 37.62/37.88 % SZS status Theorem
% 37.62/37.88 % Mode: mode485
% 37.62/37.88 % Inferences: 406
% 37.62/37.88 % SZS output start Proof
% 37.62/37.88 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 37.62/37.88 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 37.62/37.88 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 37.62/37.88 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 37.62/37.88 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 37.62/37.88 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 37.62/37.88 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 37.62/37.88 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 37.62/37.88 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 37.62/37.88 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 37.62/37.88 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 37.62/37.88 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 37.62/37.88 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 37.62/37.88 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 37.62/37.88 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 37.62/37.88 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 37.62/37.88 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 37.62/37.88 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 37.62/37.88 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 37.62/37.88 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 37.62/37.88 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 37.62/37.88 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 37.62/37.88 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 37.62/37.88 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 37.62/37.88 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 37.62/37.88 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 37.62/37.88 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 37.62/37.88 thf(def_mvalid,definition,(mvalid = (!!))).
% 37.62/37.88 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 37.62/37.88 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 37.62/37.88 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 37.62/37.88 thf(conj,conjecture,(![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:((~((~((X3 @ X2))))) => (![X4:$i]:(((X1 @ X2) @ X4) => (~((![X5:$i]:(((X1 @ X4) @ X5) => (~((X3 @ X5)))))))))))) => (![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 37.62/37.88 thf(h0,negated_conjecture,(~((![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:((X3 @ X2) => (![X4:$i]:(((X1 @ X2) @ X4) => (~((![X5:$i]:(((X1 @ X4) @ X5) => (~((X3 @ X5)))))))))))) => (![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2)))))))),inference(assume_negation,[status(cth)],[conj])).
% 37.62/37.88 thf(ax1407, axiom, (p1|~(p2)), file('<stdin>', ax1407)).
% 37.62/37.88 thf(ax1408, axiom, ~(p1), file('<stdin>', ax1408)).
% 37.62/37.88 thf(ax1398, axiom, (~(p3)|p11), file('<stdin>', ax1398)).
% 37.62/37.88 thf(ax1406, axiom, (p2|p3), file('<stdin>', ax1406)).
% 37.62/37.88 thf(ax1381, axiom, (~(p11)|p28), file('<stdin>', ax1381)).
% 37.62/37.88 thf(ax1405, axiom, (p2|~(p4)), file('<stdin>', ax1405)).
% 37.62/37.88 thf(ax1362, axiom, (~(p28)|p9|p54), file('<stdin>', ax1362)).
% 37.62/37.88 thf(ax1064, axiom, (~(p289)|~(p8)|~(p180)), file('<stdin>', ax1064)).
% 37.62/37.88 thf(nax180, axiom, (p180<=![X1:$i]:(f__0 @ f__3 @ X1=>f__0 @ f__3 @ X1)), file('<stdin>', nax180)).
% 37.62/37.88 thf(ax1404, axiom, (p4|~(p5)), file('<stdin>', ax1404)).
% 37.62/37.88 thf(ax1063, axiom, (~(p54)|p289), file('<stdin>', ax1063)).
% 37.62/37.88 thf(ax1400, axiom, (p7|~(p9)), file('<stdin>', ax1400)).
% 37.62/37.88 thf(ax1402, axiom, (p5|~(p7)), file('<stdin>', ax1402)).
% 37.62/37.88 thf(ax1401, axiom, (p7|p8), file('<stdin>', ax1401)).
% 37.62/37.88 thf(c_0_14, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1407])).
% 37.62/37.88 thf(c_0_15, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1408])).
% 37.62/37.88 thf(c_0_16, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_14])).
% 37.62/37.88 thf(c_0_17, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_15])).
% 37.62/37.88 thf(c_0_18, plain, (~p3|p11), inference(fof_simplification,[status(thm)],[ax1398])).
% 37.62/37.88 thf(c_0_19, plain, (p2|p3), inference(split_conjunct,[status(thm)],[ax1406])).
% 37.62/37.88 thf(c_0_20, plain, ~p2, inference(sr,[status(thm)],[c_0_16, c_0_17])).
% 37.62/37.88 thf(c_0_21, plain, (~p11|p28), inference(fof_simplification,[status(thm)],[ax1381])).
% 37.62/37.88 thf(c_0_22, plain, (p11|~p3), inference(split_conjunct,[status(thm)],[c_0_18])).
% 37.62/37.88 thf(c_0_23, plain, p3, inference(sr,[status(thm)],[c_0_19, c_0_20])).
% 37.62/37.88 thf(c_0_24, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax1405])).
% 37.62/37.88 thf(c_0_25, plain, (~p28|p9|p54), inference(fof_simplification,[status(thm)],[ax1362])).
% 37.62/37.88 thf(c_0_26, plain, (p28|~p11), inference(split_conjunct,[status(thm)],[c_0_21])).
% 37.62/37.88 thf(c_0_27, plain, p11, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 37.62/37.88 thf(c_0_28, plain, (~p289|~p8|~p180), inference(fof_simplification,[status(thm)],[ax1064])).
% 37.62/37.88 thf(c_0_29, plain, p180, inference(fof_simplification,[status(thm)],[nax180])).
% 37.62/37.88 thf(c_0_30, plain, (p4|~p5), inference(fof_simplification,[status(thm)],[ax1404])).
% 37.62/37.88 thf(c_0_31, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_24])).
% 37.62/37.88 thf(c_0_32, plain, (p9|p54|~p28), inference(split_conjunct,[status(thm)],[c_0_25])).
% 37.62/37.88 thf(c_0_33, plain, p28, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 37.62/37.88 thf(c_0_34, plain, (~p54|p289), inference(fof_simplification,[status(thm)],[ax1063])).
% 37.62/37.88 thf(c_0_35, plain, (p7|~p9), inference(fof_simplification,[status(thm)],[ax1400])).
% 37.62/37.88 thf(c_0_36, plain, (~p289|~p8|~p180), inference(split_conjunct,[status(thm)],[c_0_28])).
% 37.62/37.88 thf(c_0_37, plain, p180, inference(split_conjunct,[status(thm)],[c_0_29])).
% 37.62/37.88 thf(c_0_38, plain, (p5|~p7), inference(fof_simplification,[status(thm)],[ax1402])).
% 37.62/37.88 thf(c_0_39, plain, (p4|~p5), inference(split_conjunct,[status(thm)],[c_0_30])).
% 37.62/37.88 thf(c_0_40, plain, ~p4, inference(sr,[status(thm)],[c_0_31, c_0_20])).
% 37.62/37.88 thf(c_0_41, plain, (p54|p9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 37.62/37.88 thf(c_0_42, plain, (p289|~p54), inference(split_conjunct,[status(thm)],[c_0_34])).
% 37.62/37.88 thf(c_0_43, plain, (p7|~p9), inference(split_conjunct,[status(thm)],[c_0_35])).
% 37.62/37.88 thf(c_0_44, plain, (p7|p8), inference(split_conjunct,[status(thm)],[ax1401])).
% 37.62/37.88 thf(c_0_45, plain, (~p8|~p289), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 37.62/37.88 thf(c_0_46, plain, (p5|~p7), inference(split_conjunct,[status(thm)],[c_0_38])).
% 37.62/37.88 thf(c_0_47, plain, ~p5, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 37.62/37.88 thf(c_0_48, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_41, c_0_42, c_0_43, c_0_44, c_0_45, c_0_46, c_0_47]), ['proof']).
% 37.62/37.88 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 37.62/37.88 thf(0,theorem,(![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:((~((~((X3 @ X2))))) => (![X4:$i]:(((X1 @ X2) @ X4) => (~((![X5:$i]:(((X1 @ X4) @ X5) => (~((X3 @ X5)))))))))))) => (![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2)))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 37.62/37.88 % SZS output end Proof
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