0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.13/0.34 % Computer : n031.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 : 960
0.13/0.34 % WCLimit : 120
0.13/0.34 % DateTime : Tue Sep 1 09:44:26 EDT 2020
0.13/0.34 % CPUTime :
1.06/1.60 % SZS status Theorem
1.06/1.60 % Mode: mode506
1.06/1.60 % Inferences: 38684
1.06/1.60 % SZS output start Proof
1.06/1.60 thf(cLCL077_1,conjecture,((~(((~(((~(((![X1:$i]:(![X2:$i]:((~(((cT @ X1) => (cT @ X2)))) => (~((cT @ ((imp @ X1) @ X2))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:(cT @ ((imp @ ((imp @ X1) @ ((imp @ X2) @ X3))) @ ((imp @ ((imp @ X1) @ X2)) @ ((imp @ X1) @ X3)))))))))))) => (~((![X1:$i]:(![X2:$i]:(cT @ ((imp @ ((imp @ (nt @ X1)) @ (nt @ X2))) @ ((imp @ X2) @ X1)))))))))) => (![X1:$i]:(cT @ ((imp @ (nt @ (nt @ X1))) @ X1)))))) => (~((![X1:$i]:(![X2:$i]:(cT @ ((imp @ X1) @ ((imp @ X2) @ X1))))))))).
1.06/1.60 thf(h0,negated_conjecture,(~(((~(((~(((~(((![X1:$i]:(![X2:$i]:((~(((cT @ X1) => (cT @ X2)))) => (~((cT @ ((imp @ X1) @ X2))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:(cT @ ((imp @ ((imp @ X1) @ ((imp @ X2) @ X3))) @ ((imp @ ((imp @ X1) @ X2)) @ ((imp @ X1) @ X3)))))))))))) => (~((![X1:$i]:(![X2:$i]:(cT @ ((imp @ ((imp @ (nt @ X1)) @ (nt @ X2))) @ ((imp @ X2) @ X1)))))))))) => (![X1:$i]:(cT @ ((imp @ (nt @ (nt @ X1))) @ X1)))))) => (~((![X1:$i]:(![X2:$i]:(cT @ ((imp @ X1) @ ((imp @ X2) @ X1)))))))))),inference(assume_negation,[status(cth)],[cLCL077_1])).
1.06/1.60 fof(nax1, axiom, (p1<=(~((~((~((![X1:$i, X2:$i]:(~((fcT @ X1=>fcT @ X2))=>~(fcT @ (fimp @ X1 @ X2)))=>~(![X1:$i, X2:$i, X3:$i]:fcT @ (fimp @ (fimp @ X1 @ (fimp @ X2 @ X3)) @ (fimp @ (fimp @ X1 @ X2) @ (fimp @ X1 @ X3))))))=>~(![X1:$i, X2:$i]:fcT @ (fimp @ (fimp @ (fnt @ X1) @ (fnt @ X2)) @ (fimp @ X2 @ X1)))))=>![X1:$i]:fcT @ (fimp @ (fnt @ (fnt @ X1)) @ X1)))=>~(![X1:$i, X2:$i]:fcT @ (fimp @ X1 @ (fimp @ X2 @ X1))))), file('', nax1)).
1.06/1.60 fof(ax1023, axiom, ~(p1), file('', ax1023)).
1.06/1.60 fof(pax3, axiom, (p3=>![X1:$i, X2:$i]:fcT @ (fimp @ X1 @ (fimp @ X2 @ X1))), file('', pax3)).
1.06/1.60 fof(ax1021, axiom, (p1|p3), file('', ax1021)).
1.06/1.60 fof(ax1022, axiom, (p1|~(p2)), file('', ax1022)).
1.06/1.60 fof(ax1018, axiom, (p2|~(p6)), file('', ax1018)).
1.06/1.60 fof(pax343, axiom, (p343=>![X1:$i, X2:$i]:fcT @ (fimp @ (fimp @ (fnt @ X1) @ (fnt @ X2)) @ (fimp @ X2 @ X1))), file('', pax343)).
1.06/1.60 fof(ax659, axiom, (p6|p343), file('', ax659)).
1.06/1.60 fof(ax1017, axiom, (p2|~(p7)), file('', ax1017)).
1.06/1.60 fof(ax1016, axiom, (p7|~(p8)), file('', ax1016)).
1.06/1.60 fof(nax8, axiom, (p8<=fcT @ (fimp @ (fnt @ (fnt @ f__1)) @ f__1)), file('', nax8)).
1.06/1.60 fof(c_0_11, plain, ![X242:$i, X243:$i, X244:$i, X245:$i, X246:$i, X247:$i, X248:$i, X250:$i, X251:$i]:(((((~fcT @ X242|fcT @ X243|~fcT @ (fimp @ X242 @ X243)|p1)&(fcT @ (fimp @ (fimp @ X244 @ (fimp @ X245 @ X246)) @ (fimp @ (fimp @ X244 @ X245) @ (fimp @ X244 @ X246)))|p1))&(fcT @ (fimp @ (fimp @ (fnt @ X247) @ (fnt @ X248)) @ (fimp @ X248 @ X247))|p1))&(~fcT @ (fimp @ (fnt @ (fnt @ esk124_0)) @ esk124_0)|p1))&(fcT @ (fimp @ X250 @ (fimp @ X251 @ X250))|p1)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])])])])])).
1.06/1.60 fof(c_0_12, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1023])).
1.06/1.60 thf(c_0_13, plain, (fcT @ X2|p1|~fcT @ X1|~fcT @ (fimp @ X1 @ X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
1.06/1.60 thf(c_0_14, plain, (~p1), inference(split_conjunct,[status(thm)],[c_0_12])).
1.06/1.60 thf(c_0_15, plain, (fcT @ (fimp @ (fimp @ X1 @ (fimp @ X2 @ X3)) @ (fimp @ (fimp @ X1 @ X2) @ (fimp @ X1 @ X3)))|p1), inference(split_conjunct,[status(thm)],[c_0_11])).
1.06/1.60 fof(c_0_16, plain, ![X212:$i, X213:$i]:(~p3|fcT @ (fimp @ X212 @ (fimp @ X213 @ X212))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])).
1.06/1.60 thf(c_0_17, plain, (p1|p3), inference(split_conjunct,[status(thm)],[ax1021])).
1.06/1.60 fof(c_0_18, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1022])).
1.06/1.60 thf(c_0_19, plain, (fcT @ X1|~fcT @ (fimp @ X2 @ X1)|~fcT @ X2), inference(sr,[status(thm)],[c_0_13, c_0_14])).
1.06/1.60 thf(c_0_20, plain, (fcT @ (fimp @ (fimp @ X1 @ (fimp @ X2 @ X3)) @ (fimp @ (fimp @ X1 @ X2) @ (fimp @ X1 @ X3)))), inference(sr,[status(thm)],[c_0_15, c_0_14])).
1.06/1.60 thf(c_0_21, plain, (fcT @ (fimp @ X1 @ (fimp @ X2 @ X1))|~p3), inference(split_conjunct,[status(thm)],[c_0_16])).
1.06/1.60 thf(c_0_22, plain, (p3), inference(sr,[status(thm)],[c_0_17, c_0_14])).
1.06/1.60 fof(c_0_23, plain, (p2|~p6), inference(fof_simplification,[status(thm)],[ax1018])).
1.06/1.60 thf(c_0_24, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_18])).
1.06/1.60 thf(c_0_25, plain, (fcT @ (fimp @ (fimp @ X1 @ X2) @ (fimp @ X1 @ X3))|~fcT @ (fimp @ X1 @ (fimp @ X2 @ X3))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
1.06/1.60 thf(c_0_26, plain, (fcT @ (fimp @ X1 @ (fimp @ X2 @ X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
1.06/1.60 thf(c_0_27, plain, (p2|~p6), inference(split_conjunct,[status(thm)],[c_0_23])).
1.06/1.60 thf(c_0_28, plain, (~p2), inference(sr,[status(thm)],[c_0_24, c_0_14])).
1.06/1.60 thf(c_0_29, plain, (fcT @ (fimp @ X1 @ X2)|~fcT @ (fimp @ X1 @ (fimp @ X3 @ X2))|~fcT @ (fimp @ X1 @ X3)), inference(spm,[status(thm)],[c_0_19, c_0_25])).
1.06/1.60 thf(c_0_30, plain, (fcT @ (fimp @ X1 @ X2)|~fcT @ X2), inference(spm,[status(thm)],[c_0_19, c_0_26])).
1.06/1.60 fof(c_0_31, plain, ![X74:$i, X75:$i]:(~p343|fcT @ (fimp @ (fimp @ (fnt @ X74) @ (fnt @ X75)) @ (fimp @ X75 @ X74))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax343])])])).
1.06/1.60 thf(c_0_32, plain, (p6|p343), inference(split_conjunct,[status(thm)],[ax659])).
1.06/1.60 thf(c_0_33, plain, (~p6), inference(sr,[status(thm)],[c_0_27, c_0_28])).
1.06/1.60 thf(c_0_34, plain, (fcT @ (fimp @ X1 @ X2)|~fcT @ (fimp @ X1 @ X3)|~fcT @ (fimp @ X3 @ X2)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
1.06/1.60 thf(c_0_35, plain, (fcT @ (fimp @ (fimp @ (fnt @ X1) @ (fnt @ X2)) @ (fimp @ X2 @ X1))|~p343), inference(split_conjunct,[status(thm)],[c_0_31])).
1.06/1.60 thf(c_0_36, plain, (p343), inference(sr,[status(thm)],[c_0_32, c_0_33])).
1.06/1.60 thf(c_0_37, plain, (fcT @ (fimp @ X1 @ X2)|~fcT @ (fimp @ (fimp @ X3 @ X1) @ X2)), inference(spm,[status(thm)],[c_0_34, c_0_26])).
1.06/1.60 thf(c_0_38, plain, (fcT @ (fimp @ (fimp @ (fnt @ X1) @ (fnt @ X2)) @ (fimp @ X2 @ X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
1.06/1.60 thf(c_0_39, plain, (fcT @ (fimp @ (fnt @ X1) @ (fimp @ X1 @ X2))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
1.06/1.60 fof(c_0_40, plain, (p2|~p7), inference(fof_simplification,[status(thm)],[ax1017])).
1.06/1.60 thf(c_0_41, plain, (fcT @ (fimp @ (fnt @ X1) @ X2)|~fcT @ (fimp @ (fimp @ X1 @ X3) @ X2)), inference(spm,[status(thm)],[c_0_34, c_0_39])).
1.06/1.60 fof(c_0_42, plain, (p7|~p8), inference(fof_simplification,[status(thm)],[ax1016])).
1.06/1.60 thf(c_0_43, plain, (p2|~p7), inference(split_conjunct,[status(thm)],[c_0_40])).
1.06/1.60 thf(c_0_44, plain, (fcT @ (fimp @ X1 @ (fimp @ X2 @ X3))|~fcT @ (fimp @ X2 @ (fimp @ X1 @ X3))), inference(spm,[status(thm)],[c_0_37, c_0_25])).
1.06/1.60 thf(c_0_45, plain, (fcT @ (fimp @ (fnt @ (fnt @ X1)) @ (fimp @ X2 @ X1))), inference(spm,[status(thm)],[c_0_41, c_0_38])).
1.06/1.60 fof(c_0_46, plain, (~fcT @ (fimp @ (fnt @ (fnt @ f__1)) @ f__1)|p8), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax8])])).
1.06/1.60 thf(c_0_47, plain, (p7|~p8), inference(split_conjunct,[status(thm)],[c_0_42])).
1.06/1.60 thf(c_0_48, plain, (~p7), inference(sr,[status(thm)],[c_0_43, c_0_28])).
1.06/1.60 thf(c_0_49, plain, (fcT @ (fimp @ X1 @ (fimp @ (fnt @ (fnt @ X2)) @ X2))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
1.06/1.60 thf(c_0_50, plain, (p8|~fcT @ (fimp @ (fnt @ (fnt @ f__1)) @ f__1)), inference(split_conjunct,[status(thm)],[c_0_46])).
1.06/1.60 thf(c_0_51, plain, (~p8), inference(sr,[status(thm)],[c_0_47, c_0_48])).
1.06/1.60 thf(c_0_52, plain, (fcT @ (fimp @ (fnt @ (fnt @ X1)) @ X1)|~fcT @ X2), inference(spm,[status(thm)],[c_0_19, c_0_49])).
1.06/1.60 thf(c_0_53, plain, (~fcT @ (fimp @ (fnt @ (fnt @ f__1)) @ f__1)), inference(sr,[status(thm)],[c_0_50, c_0_51])).
1.06/1.60 thf(c_0_54, plain, (fcT @ (fimp @ (fnt @ (fnt @ X1)) @ X1)), inference(spm,[status(thm)],[c_0_52, c_0_38])).
1.06/1.60 thf(c_0_55, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])]), ['proof']).
1.06/1.60 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
1.06/1.60 thf(0,theorem,((~(((~(((~(((![X1:$i]:(![X2:$i]:((~(((cT @ X1) => (cT @ X2)))) => (~((cT @ ((imp @ X1) @ X2))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:(cT @ ((imp @ ((imp @ X1) @ ((imp @ X2) @ X3))) @ ((imp @ ((imp @ X1) @ X2)) @ ((imp @ X1) @ X3)))))))))))) => (~((![X1:$i]:(![X2:$i]:(cT @ ((imp @ ((imp @ (nt @ X1)) @ (nt @ X2))) @ ((imp @ X2) @ X1)))))))))) => (![X1:$i]:(cT @ ((imp @ (nt @ (nt @ X1))) @ X1)))))) => (~((![X1:$i]:(![X2:$i]:(cT @ ((imp @ X1) @ ((imp @ X2) @ X1)))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
1.06/1.60 % SZS output end Proof
1.06/1.60 EOF