TSTP Solution File: SEV094^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV094^5 : 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 : n017.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 : Tue Jul 19 18:04:49 EDT 2022
% Result : Theorem 47.21s 47.31s
% Output : Proof 47.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV094^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 13:47:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 47.21/47.31 % SZS status Theorem
% 47.21/47.31 % Mode: mode371
% 47.21/47.31 % Inferences: 15
% 47.21/47.31 % SZS output start Proof
% 47.21/47.31 thf(cEQP1_1B_pme,conjecture,(![X1:a>$o]:(![X2:a>$o]:((~((![X3:a>a]:((![X4:a]:((X1 @ X4) => (X2 @ (X3 @ X4)))) => (~((![X4:a]:((X2 @ X4) => (~((![X5:a]:((~(((X1 @ X5) => (~((X4 = (X3 @ X5))))))) => (~((![X6:a]:((~(((X1 @ X6) => (~((X4 = (X3 @ X6))))))) => (X6 = X5))))))))))))))))) => (~((![X3:a>a]:((![X4:a]:((X2 @ X4) => (X1 @ (X3 @ X4)))) => (~((![X4:a]:((X1 @ X4) => (~((![X5:a]:((~(((X2 @ X5) => (~((X4 = (X3 @ X5))))))) => (~((![X6:a]:((~(((X2 @ X6) => (~((X4 = (X3 @ X6))))))) => (X6 = X5))))))))))))))))))))).
% 47.21/47.31 thf(h0,negated_conjecture,(~((![X1:a>$o]:(![X2:a>$o]:((~((![X3:a>a]:((![X4:a]:((X1 @ X4) => (X2 @ (X3 @ X4)))) => (~((![X4:a]:((X2 @ X4) => (~((![X5:a]:((~(((X1 @ X5) => (~((X4 = (X3 @ X5))))))) => (~((![X6:a]:((~(((X1 @ X6) => (~((X4 = (X3 @ X6))))))) => (X6 = X5))))))))))))))))) => (~((![X3:a>a]:((![X4:a]:((X2 @ X4) => (X1 @ (X3 @ X4)))) => (~((![X4:a]:((X1 @ X4) => (~((![X5:a]:((~(((X2 @ X5) => (~((X4 = (X3 @ X5))))))) => (~((![X6:a]:((~(((X2 @ X6) => (~((X4 = (X3 @ X6))))))) => (X6 = X5)))))))))))))))))))))),inference(assume_negation,[status(cth)],[cEQP1_1B_pme])).
% 47.21/47.31 thf(ax8, axiom, (p1|~(p2)), file('<stdin>', ax8)).
% 47.21/47.31 thf(ax9, axiom, ~(p1), file('<stdin>', ax9)).
% 47.21/47.31 thf(ax7, axiom, (p2|~(p3)), file('<stdin>', ax7)).
% 47.21/47.31 thf(pax5, axiom, (p5=>![X4:a > a]:(![X2:a]:(f__1 @ X2=>f__0 @ (X4 @ X2))=>~(![X2:a]:(f__0 @ X2=>~(![X3:a]:(~((f__1 @ X3=>~((X2)=(X4 @ X3))))=>~(![X5:a]:(~((f__1 @ X5=>~((X2)=(X4 @ X5))))=>(X5)=(X3))))))))), file('<stdin>', pax5)).
% 47.21/47.31 thf(ax5, axiom, (p3|p5), file('<stdin>', ax5)).
% 47.21/47.31 thf(nax3, axiom, (p3<=(~(![X4:a > a]:(![X2:a]:(f__0 @ X2=>f__1 @ (X4 @ X2))=>~(![X2:a]:(f__1 @ X2=>~(![X3:a]:(~((f__0 @ X3=>~((X2)=(X4 @ X3))))=>~(![X5:a]:(~((f__0 @ X5=>~((X2)=(X4 @ X5))))=>(X5)=(X3)))))))))=>~(![X4:a > a]:(![X2:a]:(f__1 @ X2=>f__0 @ (X4 @ X2))=>~(![X2:a]:(f__0 @ X2=>~(![X3:a]:(~((f__1 @ X3=>~((X2)=(X4 @ X3))))=>~(![X5:a]:(~((f__1 @ X5=>~((X2)=(X4 @ X5))))=>(X5)=(X3))))))))))), file('<stdin>', nax3)).
% 47.21/47.31 thf(c_0_6, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax8])).
% 47.21/47.31 thf(c_0_7, plain, ~p1, inference(fof_simplification,[status(thm)],[ax9])).
% 47.21/47.31 thf(c_0_8, plain, (p2|~p3), inference(fof_simplification,[status(thm)],[ax7])).
% 47.21/47.31 thf(c_0_9, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 47.21/47.31 thf(c_0_10, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_7])).
% 47.21/47.31 thf(c_0_11, plain, (p2|~p3), inference(split_conjunct,[status(thm)],[c_0_8])).
% 47.21/47.31 thf(c_0_12, plain, ~p2, inference(sr,[status(thm)],[c_0_9, c_0_10])).
% 47.21/47.31 thf(c_0_13, plain, ![X30:a > a, X33:a]:(((f__0 @ (esk14_1 @ X30)|f__1 @ (esk13_1 @ X30)|~p5)&(((f__1 @ (esk15_2 @ X30 @ X33)|(~f__1 @ X33|(esk14_1 @ X30)!=(X30 @ X33))|f__1 @ (esk13_1 @ X30)|~p5)&((esk14_1 @ X30)=(X30 @ (esk15_2 @ X30 @ X33))|(~f__1 @ X33|(esk14_1 @ X30)!=(X30 @ X33))|f__1 @ (esk13_1 @ X30)|~p5))&((esk15_2 @ X30 @ X33)!=(X33)|(~f__1 @ X33|(esk14_1 @ X30)!=(X30 @ X33))|f__1 @ (esk13_1 @ X30)|~p5)))&((f__0 @ (esk14_1 @ X30)|~f__0 @ (X30 @ (esk13_1 @ X30))|~p5)&(((f__1 @ (esk15_2 @ X30 @ X33)|(~f__1 @ X33|(esk14_1 @ X30)!=(X30 @ X33))|~f__0 @ (X30 @ (esk13_1 @ X30))|~p5)&((esk14_1 @ X30)=(X30 @ (esk15_2 @ X30 @ X33))|(~f__1 @ X33|(esk14_1 @ X30)!=(X30 @ X33))|~f__0 @ (X30 @ (esk13_1 @ X30))|~p5))&((esk15_2 @ X30 @ X33)!=(X33)|(~f__1 @ X33|(esk14_1 @ X30)!=(X30 @ X33))|~f__0 @ (X30 @ (esk13_1 @ X30))|~p5)))), 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)],[pax5])])])])])])).
% 47.21/47.31 thf(c_0_14, plain, (p3|p5), inference(split_conjunct,[status(thm)],[ax5])).
% 47.21/47.31 thf(c_0_15, plain, ~p3, inference(sr,[status(thm)],[c_0_11, c_0_12])).
% 47.21/47.31 thf(c_0_16, plain, ![X61:a, X62:a, X64:a, X65:a > a, X68:a]:(((~f__0 @ X61|f__1 @ (esk28_0 @ X61)|p3)&(((f__0 @ (esk29_1 @ X62)|~f__1 @ X62|p3)&((X62)=(esk28_0 @ (esk29_1 @ X62))|~f__1 @ X62|p3))&(~f__0 @ X64|(X62)!=(esk28_0 @ X64)|(X64)=(esk29_1 @ X62)|~f__1 @ X62|p3)))&(((f__0 @ (esk31_1 @ X65)|f__1 @ (esk30_1 @ X65)|p3)&(((f__1 @ (esk32_2 @ X65 @ X68)|(~f__1 @ X68|(esk31_1 @ X65)!=(X65 @ X68))|f__1 @ (esk30_1 @ X65)|p3)&((esk31_1 @ X65)=(X65 @ (esk32_2 @ X65 @ X68))|(~f__1 @ X68|(esk31_1 @ X65)!=(X65 @ X68))|f__1 @ (esk30_1 @ X65)|p3))&((esk32_2 @ X65 @ X68)!=(X68)|(~f__1 @ X68|(esk31_1 @ X65)!=(X65 @ X68))|f__1 @ (esk30_1 @ X65)|p3)))&((f__0 @ (esk31_1 @ X65)|~f__0 @ (X65 @ (esk30_1 @ X65))|p3)&(((f__1 @ (esk32_2 @ X65 @ X68)|(~f__1 @ X68|(esk31_1 @ X65)!=(X65 @ X68))|~f__0 @ (X65 @ (esk30_1 @ X65))|p3)&((esk31_1 @ X65)=(X65 @ (esk32_2 @ X65 @ X68))|(~f__1 @ X68|(esk31_1 @ X65)!=(X65 @ X68))|~f__0 @ (X65 @ (esk30_1 @ X65))|p3))&((esk32_2 @ X65 @ X68)!=(X68)|(~f__1 @ X68|(esk31_1 @ X65)!=(X65 @ X68))|~f__0 @ (X65 @ (esk30_1 @ X65))|p3))))), 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)],[nax3])])])])])])).
% 47.21/47.31 thf(c_0_17, plain, ![X4:a > a]:(f__0 @ (esk14_1 @ X4)|~f__0 @ (X4 @ (esk13_1 @ X4))|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_18, plain, p5, inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 47.21/47.31 thf(c_0_19, plain, ![X1:a]:(f__0 @ (esk29_1 @ X1)|p3|~f__1 @ X1), inference(split_conjunct,[status(thm)],[c_0_16])).
% 47.21/47.31 thf(c_0_20, plain, ![X1:a]:(f__1 @ (esk28_0 @ X1)|p3|~f__0 @ X1), inference(split_conjunct,[status(thm)],[c_0_16])).
% 47.21/47.31 thf(c_0_21, plain, ![X4:a > a]:(f__0 @ (esk14_1 @ X4)|~f__0 @ (X4 @ (esk13_1 @ X4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 47.21/47.31 thf(c_0_22, plain, ![X1:a]:(f__0 @ (esk29_1 @ X1)|~f__1 @ X1), inference(sr,[status(thm)],[c_0_19, c_0_15])).
% 47.21/47.31 thf(c_0_23, plain, ![X4:a > a]:(f__0 @ (esk14_1 @ X4)|f__1 @ (esk13_1 @ X4)|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_24, plain, ![X1:a, X4:a > a]:(f__1 @ (esk15_2 @ X4 @ X1)|~f__1 @ X1|(esk14_1 @ X4)!=(X4 @ X1)|~f__0 @ (X4 @ (esk13_1 @ X4))|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_25, plain, ![X4:a > a, X1:a]:(f__1 @ (esk15_2 @ X4 @ X1)|f__1 @ (esk13_1 @ X4)|~f__1 @ X1|(esk14_1 @ X4)!=(X4 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_26, plain, ![X4:a > a, X1:a]:((esk14_1 @ X4)=(X4 @ (esk15_2 @ X4 @ X1))|f__1 @ (esk13_1 @ X4)|~f__1 @ X1|(esk14_1 @ X4)!=(X4 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_27, plain, ![X1:a, X2:a]:((X1)=(esk29_1 @ X2)|p3|~f__0 @ X1|(X2)!=(esk28_0 @ X1)|~f__1 @ X2), inference(split_conjunct,[status(thm)],[c_0_16])).
% 47.21/47.31 thf(c_0_28, plain, ![X1:a]:(f__1 @ (esk28_0 @ X1)|~f__0 @ X1), inference(sr,[status(thm)],[c_0_20, c_0_15])).
% 47.21/47.31 thf(c_0_29, plain, (f__0 @ (esk14_1 @ esk29_1)|~f__1 @ (esk13_1 @ esk29_1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 47.21/47.31 thf(c_0_30, plain, ![X4:a > a]:(f__0 @ (esk14_1 @ X4)|f__1 @ (esk13_1 @ X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_18])])).
% 47.21/47.31 thf(c_0_31, plain, ![X1:a]:((X1)=(esk28_0 @ (esk29_1 @ X1))|p3|~f__1 @ X1), inference(split_conjunct,[status(thm)],[c_0_16])).
% 47.21/47.31 thf(c_0_32, plain, ![X1:a, X4:a > a]:((esk14_1 @ X4)=(X4 @ (esk15_2 @ X4 @ X1))|~f__1 @ X1|(esk14_1 @ X4)!=(X4 @ X1)|~f__0 @ (X4 @ (esk13_1 @ X4))|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_33, plain, ![X4:a > a, X1:a]:(f__1 @ (esk15_2 @ X4 @ X1)|(esk14_1 @ X4)!=(X4 @ X1)|~f__0 @ (X4 @ (esk13_1 @ X4))|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_18])])).
% 47.21/47.31 thf(c_0_34, plain, ![X4:a > a, X1:a]:(f__1 @ (esk15_2 @ X4 @ X1)|f__1 @ (esk13_1 @ X4)|(esk14_1 @ X4)!=(X4 @ X1)|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_18])])).
% 47.21/47.31 thf(c_0_35, plain, ![X4:a > a, X1:a]:((X4 @ (esk15_2 @ X4 @ X1))=(esk14_1 @ X4)|f__1 @ (esk13_1 @ X4)|(esk14_1 @ X4)!=(X4 @ X1)|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_18])])).
% 47.21/47.31 thf(c_0_36, plain, ![X1:a]:((esk29_1 @ (esk28_0 @ X1))=(X1)|~f__0 @ X1), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_27, c_0_15])]), c_0_28])).
% 47.21/47.31 thf(c_0_37, plain, f__0 @ (esk14_1 @ esk29_1), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 47.21/47.31 thf(c_0_38, plain, ![X1:a, X4:a > a]:((esk15_2 @ X4 @ X1)!=(X1)|~f__1 @ X1|(esk14_1 @ X4)!=(X4 @ X1)|~f__0 @ (X4 @ (esk13_1 @ X4))|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_39, plain, ![X1:a]:((esk28_0 @ (esk29_1 @ X1))=(X1)|~f__1 @ X1), inference(sr,[status(thm)],[c_0_31, c_0_15])).
% 47.21/47.31 thf(c_0_40, plain, ![X4:a > a, X1:a]:((X4 @ (esk15_2 @ X4 @ X1))=(esk14_1 @ X4)|(esk14_1 @ X4)!=(X4 @ X1)|~f__0 @ (X4 @ (esk13_1 @ X4))|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_18])])).
% 47.21/47.31 thf(c_0_41, plain, ![X1:a]:(f__1 @ (esk15_2 @ esk29_1 @ X1)|(esk14_1 @ esk29_1)!=(esk29_1 @ X1)|~f__1 @ X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_22]), c_0_34])).
% 47.21/47.31 thf(c_0_42, plain, ((esk29_1 @ (esk15_2 @ esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1))))=(esk14_1 @ esk29_1)|f__1 @ (esk13_1 @ esk29_1)|~f__1 @ (esk28_0 @ (esk14_1 @ esk29_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36])]), c_0_37])])).
% 47.21/47.31 thf(c_0_43, plain, (f__1 @ (esk15_2 @ esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1)))|f__1 @ (esk13_1 @ esk29_1)|~f__1 @ (esk28_0 @ (esk14_1 @ esk29_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_36])]), c_0_37])])).
% 47.21/47.31 thf(c_0_44, plain, ![X4:a > a, X1:a]:((esk14_1 @ X4)!=(X4 @ X1)|(esk15_2 @ X4 @ X1)!=(X1)|~f__0 @ (X4 @ (esk13_1 @ X4))|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_18])])).
% 47.21/47.31 thf(c_0_45, plain, ![X1:a]:((esk15_2 @ esk29_1 @ X1)=(esk28_0 @ (esk14_1 @ esk29_1))|(esk14_1 @ esk29_1)!=(esk29_1 @ X1)|~f__0 @ (esk29_1 @ (esk13_1 @ esk29_1))|~f__1 @ X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])).
% 47.21/47.31 thf(c_0_46, plain, ((esk29_1 @ (esk15_2 @ esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1))))=(esk14_1 @ esk29_1)|f__1 @ (esk13_1 @ esk29_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_28]), c_0_37])])).
% 47.21/47.31 thf(c_0_47, plain, (f__1 @ (esk15_2 @ esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1)))|f__1 @ (esk13_1 @ esk29_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_28]), c_0_37])])).
% 47.21/47.31 thf(c_0_48, plain, ![X1:a]:((esk14_1 @ esk29_1)!=(esk29_1 @ X1)|(esk15_2 @ esk29_1 @ X1)!=(X1)|~f__1 @ (esk13_1 @ esk29_1)|~f__1 @ X1), inference(spm,[status(thm)],[c_0_44, c_0_22])).
% 47.21/47.31 thf(c_0_49, plain, ![X1:a]:((esk15_2 @ esk29_1 @ X1)=(esk28_0 @ (esk14_1 @ esk29_1))|(esk14_1 @ esk29_1)!=(esk29_1 @ X1)|~f__1 @ (esk13_1 @ esk29_1)|~f__1 @ X1), inference(spm,[status(thm)],[c_0_45, c_0_22])).
% 47.21/47.31 thf(c_0_50, plain, ![X4:a > a, X1:a]:(f__1 @ (esk13_1 @ X4)|(esk15_2 @ X4 @ X1)!=(X1)|~f__1 @ X1|(esk14_1 @ X4)!=(X4 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 47.21/47.31 thf(c_0_51, plain, ((esk15_2 @ esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1)))=(esk28_0 @ (esk14_1 @ esk29_1))|f__1 @ (esk13_1 @ esk29_1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_46]), c_0_47])).
% 47.21/47.31 thf(c_0_52, plain, ((esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1)))!=(esk14_1 @ esk29_1)|~f__1 @ (esk28_0 @ (esk14_1 @ esk29_1))|~f__1 @ (esk13_1 @ esk29_1)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49])])).
% 47.21/47.31 thf(c_0_53, plain, ![X4:a > a, X1:a]:(f__1 @ (esk13_1 @ X4)|(esk14_1 @ X4)!=(X4 @ X1)|(esk15_2 @ X4 @ X1)!=(X1)|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_18])])).
% 47.21/47.31 thf(c_0_54, plain, (f__1 @ (esk28_0 @ (esk14_1 @ esk29_1))|f__1 @ (esk13_1 @ esk29_1)), inference(spm,[status(thm)],[c_0_47, c_0_51])).
% 47.21/47.31 thf(c_0_55, plain, ((esk29_1 @ (esk28_0 @ (esk14_1 @ esk29_1)))=(esk14_1 @ esk29_1)|f__1 @ (esk13_1 @ esk29_1)), inference(spm,[status(thm)],[c_0_46, c_0_51])).
% 47.21/47.31 thf(c_0_56, plain, (~f__1 @ (esk28_0 @ (esk14_1 @ esk29_1))|~f__1 @ (esk13_1 @ esk29_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_36]), c_0_37])])).
% 47.21/47.31 thf(c_0_57, plain, f__1 @ (esk13_1 @ esk29_1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_51]), c_0_54]), c_0_55])).
% 47.21/47.31 thf(c_0_58, plain, ~f__1 @ (esk28_0 @ (esk14_1 @ esk29_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 47.21/47.31 thf(c_0_59, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_28]), c_0_37])]), ['proof']).
% 47.21/47.31 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 47.21/47.31 thf(0,theorem,(![X1:a>$o]:(![X2:a>$o]:((~((![X3:a>a]:((![X4:a]:((X1 @ X4) => (X2 @ (X3 @ X4)))) => (~((![X4:a]:((X2 @ X4) => (~((![X5:a]:((~(((X1 @ X5) => (~((X4 = (X3 @ X5))))))) => (~((![X6:a]:((~(((X1 @ X6) => (~((X4 = (X3 @ X6))))))) => (X6 = X5))))))))))))))))) => (~((![X3:a>a]:((![X4:a]:((X2 @ X4) => (X1 @ (X3 @ X4)))) => (~((![X4:a]:((X1 @ X4) => (~((![X5:a]:((~(((X2 @ X5) => (~((X4 = (X3 @ X5))))))) => (~((![X6:a]:((~(((X2 @ X6) => (~((X4 = (X3 @ X6))))))) => (X6 = X5)))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 47.21/47.31 % SZS output end Proof
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