TSTP Solution File: NUM811^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM811^5 : 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 : n007.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 13:56:50 EDT 2022
% Result : Theorem 38.31s 37.68s
% Output : Proof 38.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM811^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n007.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 : Thu Jul 7 02:47:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 38.31/37.68 % SZS status Theorem
% 38.31/37.68 % Mode: mode485
% 38.31/37.68 % Inferences: 331
% 38.31/37.68 % SZS output start Proof
% 38.31/37.68 thf(def_cIND,definition,(cIND = (![X1:$i>$o]:((~(((X1 @ c0) => (~((![X2:$i]:((X1 @ X2) => (X1 @ (cS @ X2))))))))) => ((!!) @ X1))))).
% 38.31/37.68 thf(cTHM129,conjecture,((~(((~(((![X1:$i>$o]:((~(((X1 @ c0) => (~((![X2:$i]:((X1 @ X2) => (X1 @ (cS @ X2))))))))) => ((!!) @ X1))) => (~((![X1:$i]:(((c_plus @ c0) @ X1) @ X1))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:((((c_plus @ X2) @ X1) @ X3) => (((c_plus @ (cS @ X2)) @ X1) @ (cS @ X3))))))))))) => (![X1:$i]:(![X2:$i]:(~((![X3:$i]:(~((((c_plus @ X1) @ X2) @ X3)))))))))).
% 38.31/37.68 thf(h0,negated_conjecture,(~(((~(((~(((![X1:$i>$o]:((~(((X1 @ c0) => (~((![X2:$i]:((X1 @ X2) => (X1 @ (cS @ X2))))))))) => ((!!) @ X1))) => (~((![X1:$i]:(((c_plus @ c0) @ X1) @ X1))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:((((c_plus @ X2) @ X1) @ X3) => (((c_plus @ (cS @ X2)) @ X1) @ (cS @ X3))))))))))) => (![X1:$i]:(![X2:$i]:(~((![X3:$i]:(~((((c_plus @ X1) @ X2) @ X3))))))))))),inference(assume_negation,[status(cth)],[cTHM129])).
% 38.31/37.68 thf(ax1134, axiom, (p1|~(p2)), file('<stdin>', ax1134)).
% 38.31/37.68 thf(ax1135, axiom, ~(p1), file('<stdin>', ax1135)).
% 38.31/37.68 thf(ax1132, axiom, (p2|~(p4)), file('<stdin>', ax1132)).
% 38.31/37.68 thf(ax1133, axiom, (p1|~(p3)), file('<stdin>', ax1133)).
% 38.31/37.68 thf(ax1122, axiom, (~(p17)|p16|p3), file('<stdin>', ax1122)).
% 38.31/37.68 thf(ax1121, axiom, (~(p7)|p17), file('<stdin>', ax1121)).
% 38.31/37.68 thf(ax1129, axiom, (p4|p7), file('<stdin>', ax1129)).
% 38.31/37.68 thf(pax8, axiom, (p8=>![X1:$i]:fc_plus @ fc0 @ X1 @ X1), file('<stdin>', pax8)).
% 38.31/37.68 thf(ax1128, axiom, (p4|p8), file('<stdin>', ax1128)).
% 38.31/37.68 thf(ax1123, axiom, (~(p16)|~(p15)|~(p14)), file('<stdin>', ax1123)).
% 38.31/37.68 thf(nax15, axiom, (p15<=![X1:$i]:~(![X2:$i]:~(fc_plus @ fc0 @ X1 @ X2))), file('<stdin>', nax15)).
% 38.31/37.68 thf(pax5, axiom, (p5=>![X1:$i, X2:$i, X3:$i]:(fc_plus @ X2 @ X1 @ X3=>fc_plus @ (fcS @ X2) @ X1 @ (fcS @ X3))), file('<stdin>', pax5)).
% 38.31/37.68 thf(ax1131, axiom, (p2|p5), file('<stdin>', ax1131)).
% 38.31/37.68 thf(nax14, axiom, (p14<=![X1:$i]:(![X2:$i]:~(![X3:$i]:~(fc_plus @ X1 @ X2 @ X3))=>![X2:$i]:~(![X3:$i]:~(fc_plus @ (fcS @ X1) @ X2 @ X3)))), file('<stdin>', nax14)).
% 38.31/37.68 thf(c_0_14, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1134])).
% 38.31/37.68 thf(c_0_15, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1135])).
% 38.31/37.68 thf(c_0_16, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax1132])).
% 38.31/37.68 thf(c_0_17, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_14])).
% 38.31/37.68 thf(c_0_18, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_15])).
% 38.31/37.68 thf(c_0_19, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax1133])).
% 38.31/37.68 thf(c_0_20, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_16])).
% 38.31/37.68 thf(c_0_21, plain, ~p2, inference(sr,[status(thm)],[c_0_17, c_0_18])).
% 38.31/37.68 thf(c_0_22, plain, (~p17|p16|p3), inference(fof_simplification,[status(thm)],[ax1122])).
% 38.31/37.68 thf(c_0_23, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_19])).
% 38.31/37.68 thf(c_0_24, plain, (~p7|p17), inference(fof_simplification,[status(thm)],[ax1121])).
% 38.31/37.68 thf(c_0_25, plain, (p4|p7), inference(split_conjunct,[status(thm)],[ax1129])).
% 38.31/37.68 thf(c_0_26, plain, ~p4, inference(sr,[status(thm)],[c_0_20, c_0_21])).
% 38.31/37.68 thf(c_0_27, plain, (p16|p3|~p17), inference(split_conjunct,[status(thm)],[c_0_22])).
% 38.31/37.68 thf(c_0_28, plain, ~p3, inference(sr,[status(thm)],[c_0_23, c_0_18])).
% 38.31/37.68 thf(c_0_29, plain, (p17|~p7), inference(split_conjunct,[status(thm)],[c_0_24])).
% 38.31/37.68 thf(c_0_30, plain, p7, inference(sr,[status(thm)],[c_0_25, c_0_26])).
% 38.31/37.68 thf(c_0_31, plain, ![X1446:$i]:(~p8|fc_plus @ fc0 @ X1446 @ X1446), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax8])])])).
% 38.31/37.68 thf(c_0_32, plain, (p4|p8), inference(split_conjunct,[status(thm)],[ax1128])).
% 38.31/37.68 thf(c_0_33, plain, (~p16|~p15|~p14), inference(fof_simplification,[status(thm)],[ax1123])).
% 38.31/37.68 thf(c_0_34, plain, (p16|~p17), inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 38.31/37.68 thf(c_0_35, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 38.31/37.68 thf(c_0_36, plain, ![X1405:$i]:(~fc_plus @ fc0 @ esk701_0 @ X1405|p15), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax15])])])])])).
% 38.31/37.68 thf(c_0_37, plain, ![X1:$i]:(fc_plus @ fc0 @ X1 @ X1|~p8), inference(split_conjunct,[status(thm)],[c_0_31])).
% 38.31/37.68 thf(c_0_38, plain, p8, inference(sr,[status(thm)],[c_0_32, c_0_26])).
% 38.31/37.68 thf(c_0_39, plain, ![X1452:$i, X1453:$i, X1454:$i]:(~p5|(~fc_plus @ X1453 @ X1452 @ X1454|fc_plus @ (fcS @ X1453) @ X1452 @ (fcS @ X1454))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 38.31/37.68 thf(c_0_40, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax1131])).
% 38.31/37.68 thf(c_0_41, plain, (~p16|~p15|~p14), inference(split_conjunct,[status(thm)],[c_0_33])).
% 38.31/37.68 thf(c_0_42, plain, p16, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 38.31/37.68 thf(c_0_43, plain, ![X1:$i]:(p15|~fc_plus @ fc0 @ esk701_0 @ X1), inference(split_conjunct,[status(thm)],[c_0_36])).
% 38.31/37.68 thf(c_0_44, plain, ![X1:$i]:fc_plus @ fc0 @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 38.31/37.68 thf(c_0_45, plain, ![X1412:$i, X1415:$i]:((fc_plus @ esk704_0 @ X1412 @ (esk705_1 @ X1412)|p14)&(~fc_plus @ (fcS @ esk704_0) @ esk706_0 @ X1415|p14)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax14])])])])])])).
% 38.31/37.68 thf(c_0_46, plain, ![X1:$i, X2:$i, X3:$i]:(fc_plus @ (fcS @ X1) @ X2 @ (fcS @ X3)|~p5|~fc_plus @ X1 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_39])).
% 38.31/37.68 thf(c_0_47, plain, p5, inference(sr,[status(thm)],[c_0_40, c_0_21])).
% 38.31/37.68 thf(c_0_48, plain, (~p14|~p15), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 38.31/37.68 thf(c_0_49, plain, p15, inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 38.31/37.68 thf(c_0_50, plain, ![X1:$i]:(p14|~fc_plus @ (fcS @ esk704_0) @ esk706_0 @ X1), inference(split_conjunct,[status(thm)],[c_0_45])).
% 38.31/37.68 thf(c_0_51, plain, ![X1:$i, X2:$i, X3:$i]:(fc_plus @ (fcS @ X1) @ X2 @ (fcS @ X3)|~fc_plus @ X1 @ X2 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 38.31/37.68 thf(c_0_52, plain, ~p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 38.31/37.68 thf(c_0_53, plain, ![X1:$i]:(fc_plus @ esk704_0 @ X1 @ (esk705_1 @ X1)|p14), inference(split_conjunct,[status(thm)],[c_0_45])).
% 38.31/37.68 thf(c_0_54, plain, ![X1:$i]:~fc_plus @ esk704_0 @ esk706_0 @ X1, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52])).
% 38.31/37.68 thf(c_0_55, plain, ![X1:$i]:fc_plus @ esk704_0 @ X1 @ (esk705_1 @ X1), inference(sr,[status(thm)],[c_0_53, c_0_52])).
% 38.31/37.68 thf(c_0_56, plain, ($false), inference(spm,[status(thm)],[c_0_54, c_0_55]), ['proof']).
% 38.31/37.68 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 38.31/37.68 thf(0,theorem,((~(((~(((![X1:$i>$o]:((~(((X1 @ c0) => (~((![X2:$i]:((X1 @ X2) => (X1 @ (cS @ X2))))))))) => ((!!) @ X1))) => (~((![X1:$i]:(((c_plus @ c0) @ X1) @ X1))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:((((c_plus @ X2) @ X1) @ X3) => (((c_plus @ (cS @ X2)) @ X1) @ (cS @ X3))))))))))) => (![X1:$i]:(![X2:$i]:(~((![X3:$i]:(~((((c_plus @ X1) @ X2) @ X3))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 38.31/37.68 % SZS output end Proof
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