TSTP Solution File: ITP270^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP270^1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n029.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 00:30:20 EDT 2022
% Result : Theorem 219.03s 218.40s
% Output : Proof 219.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP270^1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n029.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 : Fri Jun 3 04:21:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 219.03/218.40 % SZS status Theorem
% 219.03/218.40 % Mode: mode505:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=256:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 219.03/218.40 % Inferences: 0
% 219.03/218.40 % SZS output start Proof
% 219.03/218.40 thf(conj_0,conjecture,((ord_less_nat @ x) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg))).
% 219.03/218.40 thf(h0,negated_conjecture,(~(((ord_less_nat @ x) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)))),inference(assume_negation,[status(cth)],[conj_0])).
% 219.03/218.40 thf(pax122, axiom, (p122=>![X59:nat, X60:nat, X54:nat]:(ford_less_nat @ X59 @ X60=>(ford_less_eq_nat @ X54 @ X59=>ford_less_nat @ X54 @ X60))), file('<stdin>', pax122)).
% 219.03/218.40 thf(nax13, axiom, (p13<=(ford_less_eq_nat @ fx @ fma=>~(ford_less_eq_nat @ fmi @ fx))), file('<stdin>', nax13)).
% 219.03/218.40 thf(ax215, axiom, ~(p13), file('<stdin>', ax215)).
% 219.03/218.40 thf(ax106, axiom, p122, file('<stdin>', ax106)).
% 219.03/218.40 thf(pax3, axiom, (p3=>ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), file('<stdin>', pax3)).
% 219.03/218.40 thf(nax1, axiom, (p1<=ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), file('<stdin>', nax1)).
% 219.03/218.40 thf(ax227, axiom, ~(p1), file('<stdin>', ax227)).
% 219.03/218.40 thf(ax225, axiom, p3, file('<stdin>', ax225)).
% 219.03/218.40 thf(c_0_8, plain, ![X371:nat, X372:nat, X373:nat]:(~p122|(~ford_less_nat @ X371 @ X372|(~ford_less_eq_nat @ X373 @ X371|ford_less_nat @ X373 @ X372))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax122])])])).
% 219.03/218.40 thf(c_0_9, plain, ((ford_less_eq_nat @ fx @ fma|p13)&(ford_less_eq_nat @ fmi @ fx|p13)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax13])])])).
% 219.03/218.40 thf(c_0_10, plain, ~p13, inference(fof_simplification,[status(thm)],[ax215])).
% 219.03/218.40 thf(c_0_11, plain, ![X6:nat, X5:nat, X4:nat]:(ford_less_nat @ X6 @ X5|~p122|~ford_less_nat @ X4 @ X5|~ford_less_eq_nat @ X6 @ X4), inference(split_conjunct,[status(thm)],[c_0_8])).
% 219.03/218.40 thf(c_0_12, plain, p122, inference(split_conjunct,[status(thm)],[ax106])).
% 219.03/218.40 thf(c_0_13, plain, (ford_less_eq_nat @ fx @ fma|p13), inference(split_conjunct,[status(thm)],[c_0_9])).
% 219.03/218.40 thf(c_0_14, plain, ~p13, inference(split_conjunct,[status(thm)],[c_0_10])).
% 219.03/218.40 thf(c_0_15, plain, (~p3|ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), inference(fof_nnf,[status(thm)],[pax3])).
% 219.03/218.40 thf(c_0_16, plain, (~ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 219.03/218.40 thf(c_0_17, plain, ~p1, inference(fof_simplification,[status(thm)],[ax227])).
% 219.03/218.40 thf(c_0_18, plain, ![X4:nat, X5:nat, X6:nat]:(ford_less_nat @ X4 @ X5|~ford_less_nat @ X6 @ X5|~ford_less_eq_nat @ X4 @ X6), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 219.03/218.40 thf(c_0_19, plain, ford_less_eq_nat @ fx @ fma, inference(sr,[status(thm)],[c_0_13, c_0_14])).
% 219.03/218.40 thf(c_0_20, plain, (ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 219.03/218.40 thf(c_0_21, plain, p3, inference(split_conjunct,[status(thm)],[ax225])).
% 219.03/218.40 thf(c_0_22, plain, (p1|~ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), inference(split_conjunct,[status(thm)],[c_0_16])).
% 219.03/218.40 thf(c_0_23, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_17])).
% 219.03/218.40 thf(c_0_24, plain, ![X4:nat]:(ford_less_nat @ fx @ X4|~ford_less_nat @ fma @ X4), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 219.03/218.40 thf(c_0_25, plain, ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 219.03/218.40 thf(c_0_26, plain, ~ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg), inference(sr,[status(thm)],[c_0_22, c_0_23])).
% 219.03/218.40 thf(c_0_27, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), ['proof']).
% 219.03/218.40 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 219.03/218.40 thf(0,theorem,((ord_less_nat @ x) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 219.03/218.40 % SZS output end Proof
%------------------------------------------------------------------------------