TSTP Solution File: SEV384^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV384^5 : 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 : n016.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 18:06:08 EDT 2022
% Result : Theorem 38.04s 38.21s
% Output : Proof 38.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV384^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n016.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 : Tue Jun 28 16:47:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 38.04/38.21 % SZS status Theorem
% 38.04/38.21 % Mode: mode485
% 38.04/38.21 % Inferences: 100
% 38.04/38.21 % SZS output start Proof
% 38.04/38.21 thf(cTHM117B,conjecture,((~(((![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (~((![X4:$i]:(((cR @ X3) @ X4) => (~((X1 @ X4)))))))))))))) => (~((![X1:$i]:((![X2:$i]:((~(((s @ X2) => (~(((cR @ X1) @ X2)))))) => (cP @ X2))) => (cP @ X1)))))))) => (![X1:$i]:((s @ X1) => (cP @ X1))))).
% 38.04/38.21 thf(h0,negated_conjecture,(~(((~(((![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (~((![X4:$i]:(((cR @ X3) @ X4) => (~((X1 @ X4)))))))))))))) => (~((![X1:$i]:((![X2:$i]:((~(((s @ X2) => (~(((cR @ X1) @ X2)))))) => (cP @ X2))) => (cP @ X1)))))))) => (![X1:$i]:((s @ X1) => (cP @ X1)))))),inference(assume_negation,[status(cth)],[cTHM117B])).
% 38.04/38.21 thf(ax1206, axiom, (p1|~(p3)), file('<stdin>', ax1206)).
% 38.04/38.21 thf(ax1208, axiom, ~(p1), file('<stdin>', ax1208)).
% 38.04/38.21 thf(ax1207, axiom, (p1|~(p2)), file('<stdin>', ax1207)).
% 38.04/38.21 thf(ax1203, axiom, (p3|~(p6)), file('<stdin>', ax1203)).
% 38.04/38.21 thf(ax1201, axiom, (p6|~(p8)), file('<stdin>', ax1201)).
% 38.04/38.21 thf(ax1195, axiom, (~(p4)|p14), file('<stdin>', ax1195)).
% 38.04/38.21 thf(ax1205, axiom, (p2|p4), file('<stdin>', ax1205)).
% 38.04/38.21 thf(ax1186, axiom, (~(p26)|p8|~(p25)), file('<stdin>', ax1186)).
% 38.04/38.21 thf(ax1185, axiom, (~(p14)|p26), file('<stdin>', ax1185)).
% 38.04/38.21 thf(nax25, axiom, (p25<=![X1:$i]:(~(fcP @ X1)=>~(![X2:$i]:(fcR @ X1 @ X2=>fcP @ X2)))), file('<stdin>', nax25)).
% 38.04/38.21 thf(pax5, axiom, (p5=>![X1:$i]:(![X2:$i]:(~((fs @ X2=>~(fcR @ X1 @ X2)))=>fcP @ X2)=>fcP @ X1)), file('<stdin>', pax5)).
% 38.04/38.21 thf(ax1204, axiom, (p2|p5), file('<stdin>', ax1204)).
% 38.04/38.21 thf(c_0_12, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax1206])).
% 38.04/38.21 thf(c_0_13, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1208])).
% 38.04/38.21 thf(c_0_14, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1207])).
% 38.04/38.21 thf(c_0_15, plain, (p3|~p6), inference(fof_simplification,[status(thm)],[ax1203])).
% 38.04/38.21 thf(c_0_16, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 38.04/38.21 thf(c_0_17, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_13])).
% 38.04/38.21 thf(c_0_18, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_14])).
% 38.04/38.21 thf(c_0_19, plain, (p6|~p8), inference(fof_simplification,[status(thm)],[ax1201])).
% 38.04/38.21 thf(c_0_20, plain, (p3|~p6), inference(split_conjunct,[status(thm)],[c_0_15])).
% 38.04/38.21 thf(c_0_21, plain, ~p3, inference(sr,[status(thm)],[c_0_16, c_0_17])).
% 38.04/38.21 thf(c_0_22, plain, (~p4|p14), inference(fof_simplification,[status(thm)],[ax1195])).
% 38.04/38.21 thf(c_0_23, plain, (p2|p4), inference(split_conjunct,[status(thm)],[ax1205])).
% 38.04/38.21 thf(c_0_24, plain, ~p2, inference(sr,[status(thm)],[c_0_18, c_0_17])).
% 38.04/38.21 thf(c_0_25, plain, (~p26|p8|~p25), inference(fof_simplification,[status(thm)],[ax1186])).
% 38.04/38.21 thf(c_0_26, plain, (p6|~p8), inference(split_conjunct,[status(thm)],[c_0_19])).
% 38.04/38.21 thf(c_0_27, plain, ~p6, inference(sr,[status(thm)],[c_0_20, c_0_21])).
% 38.04/38.21 thf(c_0_28, plain, (~p14|p26), inference(fof_simplification,[status(thm)],[ax1185])).
% 38.04/38.21 thf(c_0_29, plain, (p14|~p4), inference(split_conjunct,[status(thm)],[c_0_22])).
% 38.04/38.21 thf(c_0_30, plain, p4, inference(sr,[status(thm)],[c_0_23, c_0_24])).
% 38.04/38.21 thf(c_0_31, plain, (p8|~p26|~p25), inference(split_conjunct,[status(thm)],[c_0_25])).
% 38.04/38.21 thf(c_0_32, plain, ~p8, inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 38.04/38.21 thf(c_0_33, plain, (p26|~p14), inference(split_conjunct,[status(thm)],[c_0_28])).
% 38.04/38.21 thf(c_0_34, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 38.04/38.21 thf(c_0_35, plain, ![X4406:$i]:((~fcP @ esk2201_0|p25)&(~fcR @ esk2201_0 @ X4406|fcP @ X4406|p25)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax25])])])])])])).
% 38.04/38.21 thf(c_0_36, plain, (~p25|~p26), inference(sr,[status(thm)],[c_0_31, c_0_32])).
% 38.04/38.21 thf(c_0_37, plain, p26, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 38.04/38.21 thf(c_0_38, plain, ![X4465:$i]:(((fs @ (esk2231_1 @ X4465)|fcP @ X4465|~p5)&(fcR @ X4465 @ (esk2231_1 @ X4465)|fcP @ X4465|~p5))&(~fcP @ (esk2231_1 @ X4465)|fcP @ X4465|~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])])])])])])).
% 38.04/38.21 thf(c_0_39, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax1204])).
% 38.04/38.21 thf(c_0_40, plain, ![X1:$i]:(fcP @ X1|p25|~fcR @ esk2201_0 @ X1), inference(split_conjunct,[status(thm)],[c_0_35])).
% 38.04/38.21 thf(c_0_41, plain, ~p25, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 38.04/38.21 thf(c_0_42, plain, ![X1:$i]:(fcR @ X1 @ (esk2231_1 @ X1)|fcP @ X1|~p5), inference(split_conjunct,[status(thm)],[c_0_38])).
% 38.04/38.21 thf(c_0_43, plain, p5, inference(sr,[status(thm)],[c_0_39, c_0_24])).
% 38.04/38.21 thf(c_0_44, plain, (p25|~fcP @ esk2201_0), inference(split_conjunct,[status(thm)],[c_0_35])).
% 38.04/38.21 thf(c_0_45, plain, ![X1:$i]:(fcP @ X1|~fcP @ (esk2231_1 @ X1)|~p5), inference(split_conjunct,[status(thm)],[c_0_38])).
% 38.04/38.21 thf(c_0_46, plain, ![X1:$i]:(fcP @ X1|~fcR @ esk2201_0 @ X1), inference(sr,[status(thm)],[c_0_40, c_0_41])).
% 38.04/38.21 thf(c_0_47, plain, ![X1:$i]:(fcR @ X1 @ (esk2231_1 @ X1)|fcP @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 38.04/38.21 thf(c_0_48, plain, ~fcP @ esk2201_0, inference(sr,[status(thm)],[c_0_44, c_0_41])).
% 38.04/38.21 thf(c_0_49, plain, ![X1:$i]:(fcP @ X1|~fcP @ (esk2231_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_43])])).
% 38.04/38.21 thf(c_0_50, plain, fcP @ (esk2231_1 @ esk2201_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])).
% 38.04/38.21 thf(c_0_51, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_48]), ['proof']).
% 38.04/38.21 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 38.04/38.21 thf(0,theorem,((~(((![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (~((![X4:$i]:(((cR @ X3) @ X4) => (~((X1 @ X4)))))))))))))) => (~((![X1:$i]:((![X2:$i]:((~(((s @ X2) => (~(((cR @ X1) @ X2)))))) => (cP @ X2))) => (cP @ X1)))))))) => (![X1:$i]:((s @ X1) => (cP @ X1)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 38.04/38.21 % SZS output end Proof
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