TSTP Solution File: LCL619^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL619^1 : TPTP v8.1.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n005.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 : Sun Jul 17 14:09:07 EDT 2022
% Result : Theorem 37.12s 37.31s
% Output : Proof 37.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL619^1 : TPTP v8.1.0. Released v3.6.0.
% 0.12/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n005.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 : Mon Jul 4 07:04:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 37.12/37.31 % SZS status Theorem
% 37.12/37.31 % Mode: mode485
% 37.12/37.31 % Inferences: 135
% 37.12/37.31 % SZS output start Proof
% 37.12/37.31 thf(def_mfalse,definition,(mfalse = (^[X1:$i]:$false))).
% 37.12/37.31 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 37.12/37.31 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 37.12/37.31 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 37.12/37.31 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 37.12/37.31 thf(def_mimpl,definition,(mimpl = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 37.12/37.31 thf(def_miff,definition,(miff = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimpl @ X1) @ X2)) @ ((mimpl @ X2) @ X1)))))).
% 37.12/37.31 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 37.12/37.31 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~((![X4:$i]:(((X1 @ X3) @ X4) => (~((X2 @ X4)))))))))))).
% 37.12/37.31 thf(def_mall,definition,(mall = (^[X1:individuals>$i>$o]:(^[X2:$i]:(![X3:individuals]:((X1 @ X3) @ X2)))))).
% 37.12/37.31 thf(def_mexists,definition,(mexists = (^[X1:individuals>$i>$o]:(^[X2:$i]:(~((![X3:individuals]:(~(((X1 @ X3) @ X2)))))))))).
% 37.12/37.31 thf(def_mvalid,definition,(mvalid = (!!))).
% 37.12/37.31 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 37.12/37.31 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 37.12/37.31 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 37.12/37.31 thf(thm,conjecture,(![X1:$i>$i>$o]:(![X2:$i>$o]:(![X3:$i>$o]:(![X4:$i]:((~((~((![X5:$i]:(((X1 @ X4) @ X5) => ((~((~((X2 @ X5))))) => (X3 @ X5)))))))) => ((~((~((![X5:$i]:(((X1 @ X4) @ X5) => (X2 @ X5))))))) => (![X5:$i]:(((X1 @ X4) @ X5) => (![X6:$i]:(((X1 @ X5) @ X6) => (X3 @ X6)))))))))))).
% 37.12/37.31 thf(h0,negated_conjecture,(~((![X1:$i>$i>$o]:(![X2:$i>$o]:(![X3:$i>$o]:(![X4:$i]:((![X5:$i]:(((X1 @ X4) @ X5) => ((X2 @ X5) => (X3 @ X5)))) => ((![X5:$i]:(((X1 @ X4) @ X5) => (X2 @ X5))) => (![X5:$i]:(((X1 @ X4) @ X5) => (![X6:$i]:(((X1 @ X5) @ X6) => (X3 @ X6))))))))))))),inference(assume_negation,[status(cth)],[thm])).
% 37.12/37.31 thf(ax1106, axiom, (p1|~(p3)), file('<stdin>', ax1106)).
% 37.12/37.31 thf(ax1108, axiom, ~(p1), file('<stdin>', ax1108)).
% 37.12/37.31 thf(ax1105, axiom, (p3|~(p4)), file('<stdin>', ax1105)).
% 37.12/37.31 thf(ax1104, axiom, (p4|~(p5)), file('<stdin>', ax1104)).
% 37.12/37.31 thf(ax1103, axiom, (p5|~(p6)), file('<stdin>', ax1103)).
% 37.12/37.31 thf(ax1008, axiom, (~(p2)|p81), file('<stdin>', ax1008)).
% 37.12/37.31 thf(pax7, axiom, (p7=>![X1:$i]:(f__0 @ f__3 @ X1=>(f__1 @ X1=>f__2 @ X1))), file('<stdin>', pax7)).
% 37.12/37.31 thf(ax1102, axiom, (p6|p7), file('<stdin>', ax1102)).
% 37.12/37.31 thf(nax6, axiom, (p6<=(![X1:$i]:(f__0 @ f__3 @ X1=>(f__1 @ X1=>f__2 @ X1))=>(![X1:$i]:(f__0 @ f__3 @ X1=>f__1 @ X1)=>![X1:$i]:(f__0 @ f__3 @ X1=>![X2:$i]:(f__0 @ X1 @ X2=>f__2 @ X2))))), file('<stdin>', nax6)).
% 37.12/37.31 thf(ax329, axiom, (~(p81)|p760), file('<stdin>', ax329)).
% 37.12/37.31 thf(ax1107, axiom, p2, file('<stdin>', ax1107)).
% 37.12/37.31 thf(ax330, axiom, (~(p760)|p759), file('<stdin>', ax330)).
% 37.12/37.31 thf(nax758, axiom, (p758<=![X1:$i]:(f__0 @ f__3 @ X1=>f__2 @ X1)), file('<stdin>', nax758)).
% 37.12/37.31 thf(ax1101, axiom, (p6|~(p8)), file('<stdin>', ax1101)).
% 37.12/37.31 thf(ax331, axiom, (~(p759)|~(p758)|p10), file('<stdin>', ax331)).
% 37.12/37.31 thf(ax1099, axiom, (p8|~(p10)), file('<stdin>', ax1099)).
% 37.12/37.31 thf(c_0_16, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax1106])).
% 37.12/37.31 thf(c_0_17, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1108])).
% 37.12/37.31 thf(c_0_18, plain, (p3|~p4), inference(fof_simplification,[status(thm)],[ax1105])).
% 37.12/37.31 thf(c_0_19, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_16])).
% 37.12/37.31 thf(c_0_20, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_17])).
% 37.12/37.31 thf(c_0_21, plain, (p4|~p5), inference(fof_simplification,[status(thm)],[ax1104])).
% 37.12/37.31 thf(c_0_22, plain, (p3|~p4), inference(split_conjunct,[status(thm)],[c_0_18])).
% 37.12/37.31 thf(c_0_23, plain, ~p3, inference(sr,[status(thm)],[c_0_19, c_0_20])).
% 37.12/37.31 thf(c_0_24, plain, (p5|~p6), inference(fof_simplification,[status(thm)],[ax1103])).
% 37.12/37.31 thf(c_0_25, plain, (p4|~p5), inference(split_conjunct,[status(thm)],[c_0_21])).
% 37.12/37.31 thf(c_0_26, plain, ~p4, inference(sr,[status(thm)],[c_0_22, c_0_23])).
% 37.12/37.31 thf(c_0_27, plain, (p5|~p6), inference(split_conjunct,[status(thm)],[c_0_24])).
% 37.12/37.31 thf(c_0_28, plain, ~p5, inference(sr,[status(thm)],[c_0_25, c_0_26])).
% 37.12/37.31 thf(c_0_29, plain, (~p2|p81), inference(fof_simplification,[status(thm)],[ax1008])).
% 37.12/37.31 thf(c_0_30, plain, ![X4252:$i]:(~p7|(~f__0 @ f__3 @ X4252|(~f__1 @ X4252|f__2 @ X4252))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 37.12/37.31 thf(c_0_31, plain, (p6|p7), inference(split_conjunct,[status(thm)],[ax1102])).
% 37.12/37.31 thf(c_0_32, plain, ~p6, inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 37.12/37.31 thf(c_0_33, plain, ![X4258:$i, X4259:$i]:((~f__0 @ f__3 @ X4258|(~f__1 @ X4258|f__2 @ X4258)|p6)&((~f__0 @ f__3 @ X4259|f__1 @ X4259|p6)&((f__0 @ f__3 @ esk2128_0|p6)&((f__0 @ esk2128_0 @ esk2129_0|p6)&(~f__2 @ esk2129_0|p6))))), 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)],[nax6])])])])])])).
% 37.12/37.31 thf(c_0_34, plain, (~p81|p760), inference(fof_simplification,[status(thm)],[ax329])).
% 37.12/37.31 thf(c_0_35, plain, (p81|~p2), inference(split_conjunct,[status(thm)],[c_0_29])).
% 37.12/37.31 thf(c_0_36, plain, p2, inference(split_conjunct,[status(thm)],[ax1107])).
% 37.12/37.31 thf(c_0_37, plain, ![X1:$i]:(f__2 @ X1|~p7|~f__0 @ f__3 @ X1|~f__1 @ X1), inference(split_conjunct,[status(thm)],[c_0_30])).
% 37.12/37.31 thf(c_0_38, plain, p7, inference(sr,[status(thm)],[c_0_31, c_0_32])).
% 37.12/37.31 thf(c_0_39, plain, ![X1:$i]:(f__1 @ X1|p6|~f__0 @ f__3 @ X1), inference(split_conjunct,[status(thm)],[c_0_33])).
% 37.12/37.31 thf(c_0_40, plain, (~p760|p759), inference(fof_simplification,[status(thm)],[ax330])).
% 37.12/37.31 thf(c_0_41, plain, (p760|~p81), inference(split_conjunct,[status(thm)],[c_0_34])).
% 37.12/37.31 thf(c_0_42, plain, p81, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 37.12/37.31 thf(c_0_43, plain, ((f__0 @ f__3 @ esk884_0|p758)&(~f__2 @ esk884_0|p758)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax758])])])])])).
% 37.12/37.31 thf(c_0_44, plain, ![X1:$i]:(f__2 @ X1|~f__0 @ f__3 @ X1|~f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 37.12/37.31 thf(c_0_45, plain, ![X1:$i]:(f__1 @ X1|~f__0 @ f__3 @ X1), inference(sr,[status(thm)],[c_0_39, c_0_32])).
% 37.12/37.31 thf(c_0_46, plain, (p6|~p8), inference(fof_simplification,[status(thm)],[ax1101])).
% 37.12/37.31 thf(c_0_47, plain, (~p759|~p758|p10), inference(fof_simplification,[status(thm)],[ax331])).
% 37.12/37.31 thf(c_0_48, plain, (p759|~p760), inference(split_conjunct,[status(thm)],[c_0_40])).
% 37.12/37.31 thf(c_0_49, plain, p760, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 37.12/37.31 thf(c_0_50, plain, (p758|~f__2 @ esk884_0), inference(split_conjunct,[status(thm)],[c_0_43])).
% 37.12/37.31 thf(c_0_51, plain, ![X1:$i]:(f__2 @ X1|~f__0 @ f__3 @ X1), inference(csr,[status(thm)],[c_0_44, c_0_45])).
% 37.12/37.31 thf(c_0_52, plain, (p8|~p10), inference(fof_simplification,[status(thm)],[ax1099])).
% 37.12/37.31 thf(c_0_53, plain, (p6|~p8), inference(split_conjunct,[status(thm)],[c_0_46])).
% 37.12/37.31 thf(c_0_54, plain, (p10|~p759|~p758), inference(split_conjunct,[status(thm)],[c_0_47])).
% 37.12/37.31 thf(c_0_55, plain, p759, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 37.12/37.31 thf(c_0_56, plain, (f__0 @ f__3 @ esk884_0|p758), inference(split_conjunct,[status(thm)],[c_0_43])).
% 37.12/37.31 thf(c_0_57, plain, (p758|~f__0 @ f__3 @ esk884_0), inference(spm,[status(thm)],[c_0_50, c_0_51])).
% 37.12/37.31 thf(c_0_58, plain, (p8|~p10), inference(split_conjunct,[status(thm)],[c_0_52])).
% 37.12/37.31 thf(c_0_59, plain, ~p8, inference(sr,[status(thm)],[c_0_53, c_0_32])).
% 37.12/37.31 thf(c_0_60, plain, (p10|~p758), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 37.12/37.31 thf(c_0_61, plain, p758, inference(csr,[status(thm)],[c_0_56, c_0_57])).
% 37.12/37.31 thf(c_0_62, plain, ~p10, inference(sr,[status(thm)],[c_0_58, c_0_59])).
% 37.12/37.31 thf(c_0_63, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])]), c_0_62]), ['proof']).
% 37.12/37.31 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 37.12/37.31 thf(0,theorem,(![X1:$i>$i>$o]:(![X2:$i>$o]:(![X3:$i>$o]:(![X4:$i]:((~((~((![X5:$i]:(((X1 @ X4) @ X5) => ((~((~((X2 @ X5))))) => (X3 @ X5)))))))) => ((~((~((![X5:$i]:(((X1 @ X4) @ X5) => (X2 @ X5))))))) => (![X5:$i]:(((X1 @ X4) @ X5) => (![X6:$i]:(((X1 @ X5) @ X6) => (X3 @ X6))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 37.12/37.31 % SZS output end Proof
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