TSTP Solution File: SEU793^2 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU793^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n013.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 14:05:49 EDT 2022
% Result : Theorem 37.11s 37.34s
% Output : Proof 37.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU793^2 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 06:47:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 37.11/37.34 % SZS status Theorem
% 37.11/37.34 % Mode: mode485
% 37.11/37.34 % Inferences: 1011
% 37.11/37.34 % SZS output start Proof
% 37.11/37.34 thf(def_exu,definition,(exu = (^[X1:$i>$o]:(~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3)))))))))))).
% 37.11/37.34 thf(def_replAx,definition,(replAx = (![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))))).
% 37.11/37.34 thf(image1Ex,conjecture,((![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (~((![X4:$i]:(((X1 @ X3) @ X4) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (X4 = X5))))))))))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))) => (![X1:$i]:(![X2:$i>$i]:(~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X1) => (~((X4 = (X2 @ X5))))))))))))))))))).
% 37.11/37.34 thf(h0,negated_conjecture,(~(((![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (~((![X4:$i]:(((X1 @ X3) @ X4) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (X4 = X5))))))))))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))) => (![X1:$i]:(![X2:$i>$i]:(~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X1) => (~((X4 = (X2 @ X5)))))))))))))))))))),inference(assume_negation,[status(cth)],[image1Ex])).
% 37.11/37.34 thf(ax2154, axiom, (p1|~(p3)), file('<stdin>', ax2154)).
% 37.11/37.34 thf(ax2156, axiom, ~(p1), file('<stdin>', ax2156)).
% 37.11/37.34 thf(ax2153, axiom, (p3|~(p4)), file('<stdin>', ax2153)).
% 37.11/37.34 thf(ax2149, axiom, (~(p2)|p8), file('<stdin>', ax2149)).
% 37.11/37.34 thf(ax2155, axiom, (p1|p2), file('<stdin>', ax2155)).
% 37.11/37.34 thf(nax990, axiom, (p990<=(fin @ f__30 @ f__0=>~(![X1:$i]:((X1)=(f__1 @ f__30)=>~(![X2:$i]:((X2)=(f__1 @ f__30)=>(X1)=(X2))))))), file('<stdin>', nax990)).
% 37.11/37.34 thf(ax2151, axiom, (~(p7)|~(p6)|~(p5)), file('<stdin>', ax2151)).
% 37.11/37.34 thf(ax2152, axiom, (p4|p5), file('<stdin>', ax2152)).
% 37.11/37.34 thf(ax2150, axiom, (~(p8)|p7), file('<stdin>', ax2150)).
% 37.11/37.34 thf(ax155, axiom, (p6|~(p990)), file('<stdin>', ax155)).
% 37.11/37.34 thf(c_0_10, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax2154])).
% 37.11/37.34 thf(c_0_11, plain, ~p1, inference(fof_simplification,[status(thm)],[ax2156])).
% 37.11/37.34 thf(c_0_12, plain, (p3|~p4), inference(fof_simplification,[status(thm)],[ax2153])).
% 37.11/37.34 thf(c_0_13, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_10])).
% 37.11/37.34 thf(c_0_14, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_11])).
% 37.11/37.34 thf(c_0_15, plain, (p3|~p4), inference(split_conjunct,[status(thm)],[c_0_12])).
% 37.11/37.34 thf(c_0_16, plain, ~p3, inference(sr,[status(thm)],[c_0_13, c_0_14])).
% 37.11/37.34 thf(c_0_17, plain, (~p2|p8), inference(fof_simplification,[status(thm)],[ax2149])).
% 37.11/37.34 thf(c_0_18, plain, (p1|p2), inference(split_conjunct,[status(thm)],[ax2155])).
% 37.11/37.34 thf(c_0_19, plain, ![X16:$i]:((fin @ f__30 @ f__0|p990)&(((esk7_1 @ X16)=(f__1 @ f__30)|(X16)!=(f__1 @ f__30)|p990)&((X16)!=(esk7_1 @ X16)|(X16)!=(f__1 @ f__30)|p990))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax990])])])])])])).
% 37.11/37.34 thf(c_0_20, plain, (~p7|~p6|~p5), inference(fof_simplification,[status(thm)],[ax2151])).
% 37.11/37.34 thf(c_0_21, plain, (p4|p5), inference(split_conjunct,[status(thm)],[ax2152])).
% 37.11/37.34 thf(c_0_22, plain, ~p4, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 37.11/37.34 thf(c_0_23, plain, (~p8|p7), inference(fof_simplification,[status(thm)],[ax2150])).
% 37.11/37.34 thf(c_0_24, plain, (p8|~p2), inference(split_conjunct,[status(thm)],[c_0_17])).
% 37.11/37.34 thf(c_0_25, plain, p2, inference(sr,[status(thm)],[c_0_18, c_0_14])).
% 37.11/37.34 thf(c_0_26, plain, ![X1:$i]:(p990|(X1)!=(esk7_1 @ X1)|(X1)!=(f__1 @ f__30)), inference(split_conjunct,[status(thm)],[c_0_19])).
% 37.11/37.34 thf(c_0_27, plain, (~p7|~p6|~p5), inference(split_conjunct,[status(thm)],[c_0_20])).
% 37.11/37.34 thf(c_0_28, plain, p5, inference(sr,[status(thm)],[c_0_21, c_0_22])).
% 37.11/37.34 thf(c_0_29, plain, (p7|~p8), inference(split_conjunct,[status(thm)],[c_0_23])).
% 37.11/37.34 thf(c_0_30, plain, p8, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 37.11/37.34 thf(c_0_31, plain, (p6|~p990), inference(fof_simplification,[status(thm)],[ax155])).
% 37.11/37.34 thf(c_0_32, plain, ![X1:$i]:((esk7_1 @ X1)=(f__1 @ f__30)|p990|(X1)!=(f__1 @ f__30)), inference(split_conjunct,[status(thm)],[c_0_19])).
% 37.11/37.34 thf(c_0_33, plain, (p990|(esk7_1 @ (f__1 @ f__30))!=(f__1 @ f__30)), inference(er,[status(thm)],[c_0_26])).
% 37.11/37.34 thf(c_0_34, plain, (~p6|~p7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
% 37.11/37.34 thf(c_0_35, plain, p7, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 37.11/37.34 thf(c_0_36, plain, (p6|~p990), inference(split_conjunct,[status(thm)],[c_0_31])).
% 37.11/37.34 thf(c_0_37, plain, p990, inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]), c_0_33])).
% 37.11/37.34 thf(c_0_38, plain, ~p6, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 37.11/37.34 thf(c_0_39, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])]), c_0_38]), ['proof']).
% 37.11/37.34 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 37.11/37.34 thf(0,theorem,((![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (~((![X4:$i]:(((X1 @ X3) @ X4) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (X4 = X5))))))))))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))) => (![X1:$i]:(![X2:$i>$i]:(~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X1) => (~((X4 = (X2 @ X5)))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 37.11/37.34 % SZS output end Proof
%------------------------------------------------------------------------------