TSTP Solution File: PUZ107^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PUZ107^5 : TPTP v8.1.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n032.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 18:26:03 EDT 2022
% Result : Theorem 2.07s 2.66s
% Output : Proof 2.07s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : PUZ107^5 : TPTP v8.1.0. Bugfixed v6.2.0.
% 0.05/0.11 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun May 29 01:45:11 EDT 2022
% 0.10/0.30 % CPUTime :
% 2.07/2.66 % SZS status Theorem
% 2.07/2.66 % Mode: mode506
% 2.07/2.66 % Inferences: 59320
% 2.07/2.66 % SZS output start Proof
% 2.07/2.66 thf(def_cCKB_INJ,definition,(cCKB_INJ = (^[X1:$i>$i>$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((((X1 @ X2) @ X3) @ X6) @ X7) => (~(((((X1 @ X4) @ X5) @ X6) @ X7)))))) => (~(((X2 = X4) => (~((X3 = X5)))))))))))))))).
% 2.07/2.66 thf(def_cCKB_XPL,definition,(cCKB_XPL = (^[X1:$i>$i>$i>$i>$o]:(^[X2:$i>$i>$o]:(^[X3:$i]:(^[X4:$i]:(~((((X2 @ X3) @ X4) => (~((![X5:$i]:(![X6:$i]:(((X2 @ X5) @ X6) => (~((![X7:$i]:(![X8:$i]:((~((((((X1 @ X5) @ X6) @ X7) @ X8) => (~(((X2 @ X7) @ X8)))))) => (~(((X7 = X3) => (~((X8 = X4))))))))))))))))))))))))).
% 2.07/2.66 thf(def_cCKB_INF,definition,(cCKB_INF = (^[X1:$i>$i>$o]:(~((![X2:$i>$i>$i>$i>$o]:(![X3:$i]:(![X4:$i]:((cCKB_INJ @ X2) => (~(((((cCKB_XPL @ X2) @ X1) @ X3) @ X4)))))))))))).
% 2.07/2.66 thf(def_cCKB_FIN,definition,(cCKB_FIN = (^[X1:$i>$i>$o]:(~((cCKB_INF @ X1)))))).
% 2.07/2.66 thf(cL3000,conjecture,(~((~((![X1:$i>$i>$i>$i>$o]:(![X2:$i]:(![X3:$i]:((![X4:$i]:(![X5:$i]:(![X6:$i]:(![X7:$i]:(![X8:$i]:(![X9:$i]:((~((((((X1 @ X4) @ X5) @ X8) @ X9) => (~(((((X1 @ X6) @ X7) @ X8) @ X9)))))) => (~(((X4 = X6) => (~((X5 = X7))))))))))))) => (~((~(((~(((X2 = c1) => (~((X3 = c1)))))) => (~((![X4:$i]:(![X5:$i]:((~(((X4 = c1) => (~((X5 = c1)))))) => (~((![X6:$i]:(![X7:$i]:((~((((((X1 @ X4) @ X5) @ X6) @ X7) => (~((~(((X6 = c1) => (~((X7 = c1))))))))))) => (~(((X6 = X2) => (~((X7 = X3)))))))))))))))))))))))))))))).
% 2.07/2.66 thf(h0,negated_conjecture,(~((![X1:$i>$i>$i>$i>$o]:(![X2:$i]:(![X3:$i]:((![X4:$i]:(![X5:$i]:(![X6:$i]:(![X7:$i]:(![X8:$i]:(![X9:$i]:((~((((((X1 @ X4) @ X5) @ X8) @ X9) => (~(((((X1 @ X6) @ X7) @ X8) @ X9)))))) => (~(((X4 = X6) => (~((X5 = X7))))))))))))) => ((~(((X2 = c1) => (~((X3 = c1)))))) => (~((![X4:$i]:(![X5:$i]:((~(((X4 = c1) => (~((X5 = c1)))))) => (~((![X6:$i]:(![X7:$i]:((~((((((X1 @ X4) @ X5) @ X6) @ X7) => ((X6 = c1) => (~((X7 = c1))))))) => (~(((X6 = X2) => (~((X7 = X3))))))))))))))))))))))),inference(assume_negation,[status(cth)],[cL3000])).
% 2.07/2.66 thf(ax1033, axiom, (p1|~(p2)), file('<stdin>', ax1033)).
% 2.07/2.66 thf(ax1034, axiom, ~(p1), file('<stdin>', ax1034)).
% 2.07/2.66 thf(ax1032, axiom, (p2|~(p3)), file('<stdin>', ax1032)).
% 2.07/2.66 thf(ax1031, axiom, (p3|~(p4)), file('<stdin>', ax1031)).
% 2.07/2.66 thf(nax3, axiom, (p3<=![X1:$i]:(![X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i]:(~((f__0 @ X2 @ X3 @ X6 @ X7=>~(f__0 @ X4 @ X5 @ X6 @ X7)))=>~(((X2)=(X4)=>~((X3)=(X5)))))=>(~(((f__1)=(fc1)=>~((X1)=(fc1))))=>~(![X2:$i, X3:$i]:(~(((X2)=(fc1)=>~((X3)=(fc1))))=>~(![X4:$i, X5:$i]:(~((f__0 @ X2 @ X3 @ X4 @ X5=>((X4)=(fc1)=>~((X5)=(fc1)))))=>~(((X4)=(f__1)=>~((X5)=(X1))))))))))), file('<stdin>', nax3)).
% 2.07/2.66 thf(nax4, axiom, (p4<=(![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~((f__0 @ X1 @ X2 @ X5 @ X6=>~(f__0 @ X3 @ X4 @ X5 @ X6)))=>~(((X1)=(X3)=>~((X2)=(X4)))))=>(~(((f__1)=(fc1)=>~((f__2)=(fc1))))=>~(![X1:$i, X2:$i]:(~(((X1)=(fc1)=>~((X2)=(fc1))))=>~(![X3:$i, X4:$i]:(~((f__0 @ X1 @ X2 @ X3 @ X4=>((X3)=(fc1)=>~((X4)=(fc1)))))=>~(((X3)=(f__1)=>~((X4)=(f__2))))))))))), file('<stdin>', nax4)).
% 2.07/2.66 thf(c_0_6, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1033])).
% 2.07/2.66 thf(c_0_7, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1034])).
% 2.07/2.66 thf(c_0_8, plain, (p2|~p3), inference(fof_simplification,[status(thm)],[ax1032])).
% 2.07/2.66 thf(c_0_9, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.07/2.66 thf(c_0_10, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_7])).
% 2.07/2.66 thf(c_0_11, plain, (p3|~p4), inference(fof_simplification,[status(thm)],[ax1031])).
% 2.07/2.66 thf(c_0_12, plain, (p2|~p3), inference(split_conjunct,[status(thm)],[c_0_8])).
% 2.07/2.66 thf(c_0_13, plain, ~p2, inference(sr,[status(thm)],[c_0_9, c_0_10])).
% 2.07/2.66 thf(c_0_14, plain, ![X3681:$i, X3682:$i, X3683:$i, X3684:$i, X3685:$i, X3686:$i, X3687:$i, X3688:$i]:((((X3681)=(X3683)|(~f__0 @ X3681 @ X3682 @ X3685 @ X3686|~f__0 @ X3683 @ X3684 @ X3685 @ X3686)|p3)&((X3682)=(X3684)|(~f__0 @ X3681 @ X3682 @ X3685 @ X3686|~f__0 @ X3683 @ X3684 @ X3685 @ X3686)|p3))&((((f__1)=(fc1)|p3)&((esk1839_0)=(fc1)|p3))&(((f__0 @ X3687 @ X3688 @ (esk1840_2 @ X3687 @ X3688) @ (esk1841_2 @ X3687 @ X3688)|((X3687)!=(fc1)|(X3688)!=(fc1))|p3)&(((esk1840_2 @ X3687 @ X3688)=(fc1)|((X3687)!=(fc1)|(X3688)!=(fc1))|p3)&((esk1841_2 @ X3687 @ X3688)=(fc1)|((X3687)!=(fc1)|(X3688)!=(fc1))|p3)))&((esk1840_2 @ X3687 @ X3688)!=(f__1)|(esk1841_2 @ X3687 @ X3688)!=(esk1839_0)|((X3687)!=(fc1)|(X3688)!=(fc1))|p3)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])])])])])])).
% 2.07/2.66 thf(c_0_15, plain, ![X3659:$i, X3660:$i, X3661:$i, X3662:$i, X3663:$i, X3664:$i, X3665:$i, X3666:$i]:((((X3659)=(X3661)|(~f__0 @ X3659 @ X3660 @ X3663 @ X3664|~f__0 @ X3661 @ X3662 @ X3663 @ X3664)|p4)&((X3660)=(X3662)|(~f__0 @ X3659 @ X3660 @ X3663 @ X3664|~f__0 @ X3661 @ X3662 @ X3663 @ X3664)|p4))&((((f__1)=(fc1)|p4)&((f__2)=(fc1)|p4))&(((f__0 @ X3665 @ X3666 @ (esk1829_2 @ X3665 @ X3666) @ (esk1830_2 @ X3665 @ X3666)|((X3665)!=(fc1)|(X3666)!=(fc1))|p4)&(((esk1829_2 @ X3665 @ X3666)=(fc1)|((X3665)!=(fc1)|(X3666)!=(fc1))|p4)&((esk1830_2 @ X3665 @ X3666)=(fc1)|((X3665)!=(fc1)|(X3666)!=(fc1))|p4)))&((esk1829_2 @ X3665 @ X3666)!=(f__1)|(esk1830_2 @ X3665 @ X3666)!=(f__2)|((X3665)!=(fc1)|(X3666)!=(fc1))|p4)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax4])])])])])])).
% 2.07/2.66 thf(c_0_16, plain, (p3|~p4), inference(split_conjunct,[status(thm)],[c_0_11])).
% 2.07/2.66 thf(c_0_17, plain, ~p3, inference(sr,[status(thm)],[c_0_12, c_0_13])).
% 2.07/2.66 thf(c_0_18, plain, ((f__1)=(fc1)|p3), inference(split_conjunct,[status(thm)],[c_0_14])).
% 2.07/2.66 thf(c_0_19, plain, ((f__2)=(fc1)|p4), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.07/2.66 thf(c_0_20, plain, ~p4, inference(sr,[status(thm)],[c_0_16, c_0_17])).
% 2.07/2.66 thf(c_0_21, plain, ![X1:$i, X2:$i]:((esk1829_2 @ X1 @ X2)=(fc1)|p4|(X1)!=(fc1)|(X2)!=(fc1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.07/2.66 thf(c_0_22, plain, ![X1:$i, X2:$i]:((esk1830_2 @ X1 @ X2)=(fc1)|p4|(X1)!=(fc1)|(X2)!=(fc1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.07/2.66 thf(c_0_23, plain, ![X1:$i, X2:$i]:(p4|(esk1829_2 @ X1 @ X2)!=(f__1)|(esk1830_2 @ X1 @ X2)!=(f__2)|(X1)!=(fc1)|(X2)!=(fc1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.07/2.66 thf(c_0_24, plain, (f__1)=(fc1), inference(sr,[status(thm)],[c_0_18, c_0_17])).
% 2.07/2.66 thf(c_0_25, plain, (f__2)=(fc1), inference(sr,[status(thm)],[c_0_19, c_0_20])).
% 2.07/2.66 thf(c_0_26, plain, (esk1829_2 @ fc1 @ fc1)=(fc1), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_21, c_0_20])])])).
% 2.07/2.66 thf(c_0_27, plain, (esk1830_2 @ fc1 @ fc1)=(fc1), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_22, c_0_20])])])).
% 2.07/2.66 thf(c_0_28, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_20])])]), c_0_26]), c_0_27])]), ['proof']).
% 2.07/2.66 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.07/2.66 thf(0,theorem,(~((~((![X1:$i>$i>$i>$i>$o]:(![X2:$i]:(![X3:$i]:((![X4:$i]:(![X5:$i]:(![X6:$i]:(![X7:$i]:(![X8:$i]:(![X9:$i]:((~((((((X1 @ X4) @ X5) @ X8) @ X9) => (~(((((X1 @ X6) @ X7) @ X8) @ X9)))))) => (~(((X4 = X6) => (~((X5 = X7))))))))))))) => (~((~(((~(((X2 = c1) => (~((X3 = c1)))))) => (~((![X4:$i]:(![X5:$i]:((~(((X4 = c1) => (~((X5 = c1)))))) => (~((![X6:$i]:(![X7:$i]:((~((((((X1 @ X4) @ X5) @ X6) @ X7) => (~((~(((X6 = c1) => (~((X7 = c1))))))))))) => (~(((X6 = X2) => (~((X7 = X3))))))))))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.07/2.66 % SZS output end Proof
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