TSTP Solution File: SYO327^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO327^5 : TPTP v8.1.0. Released v4.0.0.
% 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 : Thu Jul 21 19:31:27 EDT 2022
% Result : Theorem 39.30s 38.95s
% Output : Proof 39.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO327^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n016.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 : Sat Jul 9 05:14:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 39.30/38.95 % SZS status Theorem
% 39.30/38.95 % Mode: mode485
% 39.30/38.95 % Inferences: 107
% 39.30/38.95 % SZS output start Proof
% 39.30/38.95 thf(cDOUBLE_TO_HALF_6,conjecture,((~(((~(((~(((![X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:((~(((~((((cDOUBLE @ X2) @ X3) => (~(((X1 @ c0) @ c0)))))) => (~((![X4:$i]:(![X5:$i]:(((X1 @ X4) @ X5) => ((X1 @ (cS @ X4)) @ (cS @ (cS @ X5))))))))))) => ((X1 @ X2) @ X3))))) => (~(((cHALF @ c0) @ c0)))))) => (~(((cHALF @ c0) @ (cS @ c0))))))) => (~((![X1:$i]:(![X2:$i]:(((cHALF @ X1) @ X2) => ((cHALF @ (cS @ (cS @ X1))) @ (cS @ X2)))))))))) => (![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) => ((cHALF @ X2) @ X1)))))).
% 39.30/38.95 thf(h0,negated_conjecture,(~(((~(((~(((~(((![X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:((~(((~((((cDOUBLE @ X2) @ X3) => (~(((X1 @ c0) @ c0)))))) => (~((![X4:$i]:(![X5:$i]:(((X1 @ X4) @ X5) => ((X1 @ (cS @ X4)) @ (cS @ (cS @ X5))))))))))) => ((X1 @ X2) @ X3))))) => (~(((cHALF @ c0) @ c0)))))) => (~(((cHALF @ c0) @ (cS @ c0))))))) => (~((![X1:$i]:(![X2:$i]:(((cHALF @ X1) @ X2) => ((cHALF @ (cS @ (cS @ X1))) @ (cS @ X2)))))))))) => (![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) => ((cHALF @ X2) @ X1))))))),inference(assume_negation,[status(cth)],[cDOUBLE_TO_HALF_6])).
% 39.30/38.95 thf(ax967, axiom, (p1|~(p2)), file('<stdin>', ax967)).
% 39.30/38.95 thf(ax968, axiom, ~(p1), file('<stdin>', ax968)).
% 39.30/38.95 thf(ax965, axiom, (p2|~(p4)), file('<stdin>', ax965)).
% 39.30/38.95 thf(ax962, axiom, (p4|~(p7)), file('<stdin>', ax962)).
% 39.30/38.95 thf(ax966, axiom, (p1|~(p3)), file('<stdin>', ax966)).
% 39.30/38.95 thf(ax926, axiom, (~(p10)|p43), file('<stdin>', ax926)).
% 39.30/38.95 thf(ax959, axiom, (p7|p10), file('<stdin>', ax959)).
% 39.30/38.95 thf(ax963, axiom, (p3|~(p6)), file('<stdin>', ax963)).
% 39.30/38.95 thf(ax659, axiom, (~(p43)|p322), file('<stdin>', ax659)).
% 39.30/38.95 thf(ax960, axiom, (p6|~(p9)), file('<stdin>', ax960)).
% 39.30/38.95 thf(ax660, axiom, (~(p322)|p321), file('<stdin>', ax660)).
% 39.30/38.95 thf(ax952, axiom, (p9|~(p17)), file('<stdin>', ax952)).
% 39.30/38.95 thf(ax661, axiom, (~(p321)|p320|p17), file('<stdin>', ax661)).
% 39.30/38.95 thf(ax672, axiom, (~(p310)|~(p16)|~(p11)), file('<stdin>', ax672)).
% 39.30/38.95 thf(ax958, axiom, (p7|p11), file('<stdin>', ax958)).
% 39.30/38.95 thf(ax953, axiom, (p9|p16), file('<stdin>', ax953)).
% 39.30/38.95 thf(ax662, axiom, (~(p320)|p310|~(p319)), file('<stdin>', ax662)).
% 39.30/38.95 thf(nax319, axiom, (p319<=![X1:$i, X2:$i]:(fcHALF @ X2 @ X1=>fcHALF @ (fcS @ (fcS @ X2)) @ (fcS @ X1))), file('<stdin>', nax319)).
% 39.30/38.95 thf(pax5, axiom, (p5=>![X1:$i, X2:$i]:(fcHALF @ X1 @ X2=>fcHALF @ (fcS @ (fcS @ X1)) @ (fcS @ X2))), file('<stdin>', pax5)).
% 39.30/38.95 thf(ax964, axiom, (p2|p5), file('<stdin>', ax964)).
% 39.30/38.95 thf(c_0_20, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax967])).
% 39.30/38.95 thf(c_0_21, plain, ~p1, inference(fof_simplification,[status(thm)],[ax968])).
% 39.30/38.95 thf(c_0_22, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax965])).
% 39.30/38.95 thf(c_0_23, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_20])).
% 39.30/38.95 thf(c_0_24, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_21])).
% 39.30/38.95 thf(c_0_25, plain, (p4|~p7), inference(fof_simplification,[status(thm)],[ax962])).
% 39.30/38.95 thf(c_0_26, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_22])).
% 39.30/38.95 thf(c_0_27, plain, ~p2, inference(sr,[status(thm)],[c_0_23, c_0_24])).
% 39.30/38.95 thf(c_0_28, plain, (p4|~p7), inference(split_conjunct,[status(thm)],[c_0_25])).
% 39.30/38.95 thf(c_0_29, plain, ~p4, inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 39.30/38.95 thf(c_0_30, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax966])).
% 39.30/38.95 thf(c_0_31, plain, (~p10|p43), inference(fof_simplification,[status(thm)],[ax926])).
% 39.30/38.95 thf(c_0_32, plain, (p7|p10), inference(split_conjunct,[status(thm)],[ax959])).
% 39.30/38.95 thf(c_0_33, plain, ~p7, inference(sr,[status(thm)],[c_0_28, c_0_29])).
% 39.30/38.95 thf(c_0_34, plain, (p3|~p6), inference(fof_simplification,[status(thm)],[ax963])).
% 39.30/38.95 thf(c_0_35, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_30])).
% 39.30/38.95 thf(c_0_36, plain, (~p43|p322), inference(fof_simplification,[status(thm)],[ax659])).
% 39.30/38.95 thf(c_0_37, plain, (p43|~p10), inference(split_conjunct,[status(thm)],[c_0_31])).
% 39.30/38.95 thf(c_0_38, plain, p10, inference(sr,[status(thm)],[c_0_32, c_0_33])).
% 39.30/38.95 thf(c_0_39, plain, (p6|~p9), inference(fof_simplification,[status(thm)],[ax960])).
% 39.30/38.95 thf(c_0_40, plain, (p3|~p6), inference(split_conjunct,[status(thm)],[c_0_34])).
% 39.30/38.95 thf(c_0_41, plain, ~p3, inference(sr,[status(thm)],[c_0_35, c_0_24])).
% 39.30/38.95 thf(c_0_42, plain, (~p322|p321), inference(fof_simplification,[status(thm)],[ax660])).
% 39.30/38.95 thf(c_0_43, plain, (p322|~p43), inference(split_conjunct,[status(thm)],[c_0_36])).
% 39.30/38.95 thf(c_0_44, plain, p43, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 39.30/38.95 thf(c_0_45, plain, (p9|~p17), inference(fof_simplification,[status(thm)],[ax952])).
% 39.30/38.95 thf(c_0_46, plain, (p6|~p9), inference(split_conjunct,[status(thm)],[c_0_39])).
% 39.30/38.95 thf(c_0_47, plain, ~p6, inference(sr,[status(thm)],[c_0_40, c_0_41])).
% 39.30/38.95 thf(c_0_48, plain, (~p321|p320|p17), inference(fof_simplification,[status(thm)],[ax661])).
% 39.30/38.95 thf(c_0_49, plain, (p321|~p322), inference(split_conjunct,[status(thm)],[c_0_42])).
% 39.30/38.95 thf(c_0_50, plain, p322, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 39.30/38.95 thf(c_0_51, plain, (p9|~p17), inference(split_conjunct,[status(thm)],[c_0_45])).
% 39.30/38.95 thf(c_0_52, plain, ~p9, inference(sr,[status(thm)],[c_0_46, c_0_47])).
% 39.30/38.95 thf(c_0_53, plain, (~p310|~p16|~p11), inference(fof_simplification,[status(thm)],[ax672])).
% 39.30/38.95 thf(c_0_54, plain, (p7|p11), inference(split_conjunct,[status(thm)],[ax958])).
% 39.30/38.95 thf(c_0_55, plain, (p9|p16), inference(split_conjunct,[status(thm)],[ax953])).
% 39.30/38.95 thf(c_0_56, plain, (~p320|p310|~p319), inference(fof_simplification,[status(thm)],[ax662])).
% 39.30/38.95 thf(c_0_57, plain, (p320|p17|~p321), inference(split_conjunct,[status(thm)],[c_0_48])).
% 39.30/38.95 thf(c_0_58, plain, p321, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50])])).
% 39.30/38.95 thf(c_0_59, plain, ~p17, inference(sr,[status(thm)],[c_0_51, c_0_52])).
% 39.30/38.95 thf(c_0_60, plain, (~p310|~p16|~p11), inference(split_conjunct,[status(thm)],[c_0_53])).
% 39.30/38.95 thf(c_0_61, plain, p11, inference(sr,[status(thm)],[c_0_54, c_0_33])).
% 39.30/38.95 thf(c_0_62, plain, p16, inference(sr,[status(thm)],[c_0_55, c_0_52])).
% 39.30/38.95 thf(c_0_63, plain, ((fcHALF @ esk1176_0 @ esk1175_0|p319)&(~fcHALF @ (fcS @ (fcS @ esk1176_0)) @ (fcS @ esk1175_0)|p319)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax319])])])])])).
% 39.30/38.95 thf(c_0_64, plain, (p310|~p320|~p319), inference(split_conjunct,[status(thm)],[c_0_56])).
% 39.30/38.95 thf(c_0_65, plain, p320, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])]), c_0_59])).
% 39.30/38.95 thf(c_0_66, plain, ~p310, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61]), c_0_62])])).
% 39.30/38.95 thf(c_0_67, plain, ![X3477:$i, X3478:$i]:(~p5|(~fcHALF @ X3477 @ X3478|fcHALF @ (fcS @ (fcS @ X3477)) @ (fcS @ X3478))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 39.30/38.95 thf(c_0_68, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax964])).
% 39.30/38.95 thf(c_0_69, plain, (p319|~fcHALF @ (fcS @ (fcS @ esk1176_0)) @ (fcS @ esk1175_0)), inference(split_conjunct,[status(thm)],[c_0_63])).
% 39.30/38.95 thf(c_0_70, plain, ~p319, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])]), c_0_66])).
% 39.30/38.95 thf(c_0_71, plain, ![X1:$i, X2:$i]:(fcHALF @ (fcS @ (fcS @ X1)) @ (fcS @ X2)|~p5|~fcHALF @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_67])).
% 39.30/38.95 thf(c_0_72, plain, p5, inference(sr,[status(thm)],[c_0_68, c_0_27])).
% 39.30/38.95 thf(c_0_73, plain, (fcHALF @ esk1176_0 @ esk1175_0|p319), inference(split_conjunct,[status(thm)],[c_0_63])).
% 39.30/38.95 thf(c_0_74, plain, ~fcHALF @ (fcS @ (fcS @ esk1176_0)) @ (fcS @ esk1175_0), inference(sr,[status(thm)],[c_0_69, c_0_70])).
% 39.30/38.95 thf(c_0_75, plain, ![X1:$i, X2:$i]:(fcHALF @ (fcS @ (fcS @ X1)) @ (fcS @ X2)|~fcHALF @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])])).
% 39.30/38.95 thf(c_0_76, plain, fcHALF @ esk1176_0 @ esk1175_0, inference(sr,[status(thm)],[c_0_73, c_0_70])).
% 39.30/38.95 thf(c_0_77, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76])]), ['proof']).
% 39.30/38.95 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 39.30/38.95 thf(0,theorem,((~(((~(((~(((![X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:((~(((~((((cDOUBLE @ X2) @ X3) => (~(((X1 @ c0) @ c0)))))) => (~((![X4:$i]:(![X5:$i]:(((X1 @ X4) @ X5) => ((X1 @ (cS @ X4)) @ (cS @ (cS @ X5))))))))))) => ((X1 @ X2) @ X3))))) => (~(((cHALF @ c0) @ c0)))))) => (~(((cHALF @ c0) @ (cS @ c0))))))) => (~((![X1:$i]:(![X2:$i]:(((cHALF @ X1) @ X2) => ((cHALF @ (cS @ (cS @ X1))) @ (cS @ X2)))))))))) => (![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) => ((cHALF @ X2) @ X1))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 39.30/38.95 % SZS output end Proof
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