%------------------------------------------------------------------------------ % File : Lash---1.13 % Problem : SYO520^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : lash -P picomus -M modes -p tstp -t %d %s % Computer : n026.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 : 300s % DateTime : Thu Oct 9 03:23:48 PM UTC 2025 % Result : Unsatisfiable 0.20s 0.40s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO520^1 : TPTP v9.2.0. Released v4.1.0. % 0.07/0.14 % Command : lash -P picomus -M modes -p tstp -t %d %s % 0.14/0.35 % Computer : n026.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 9 01:05:23 EDT 2025 % 0.14/0.35 % CPUTime : % 0.20/0.40 % SZS status Unsatisfiable % 0.20/0.40 % Mode: cade22grackle2xfee4 % 0.20/0.40 % Steps: 42 % 0.20/0.40 % SZS output start Proof % 0.20/0.40 thf(ty_p, type, p : ($i>$o)). % 0.20/0.40 thf(ty_eigen__0, type, eigen__0 : $i). % 0.20/0.40 thf(ty_eps, type, eps : (($i>$o)>$i)). % 0.20/0.40 thf(sP1,plain,sP1 <=> (p @ (eps @ p)),introduced(definition,[new_symbols(definition,[sP1])])). % 0.20/0.40 thf(sP2,plain,sP2 <=> (![X1:$i]:(p @ X1)),introduced(definition,[new_symbols(definition,[sP2])])). % 0.20/0.40 thf(sP3,plain,sP3 <=> (![X1:$i]:(~((p @ X1)))),introduced(definition,[new_symbols(definition,[sP3])])). % 0.20/0.40 thf(sP4,plain,sP4 <=> (p @ eigen__0),introduced(definition,[new_symbols(definition,[sP4])])). % 0.20/0.40 thf(sP5,plain,sP5 <=> (p @ (eps @ (^[X1:$i]:(~((p @ X1)))))),introduced(definition,[new_symbols(definition,[sP5])])). % 0.20/0.40 thf(1,plain,(~(sP2) | sP4),inference(all_rule,[status(thm)],[])). % 0.20/0.40 thf(2,plain,(~(sP3) | ~(sP4)),inference(all_rule,[status(thm)],[])). % 0.20/0.40 thf(epschoice,axiom,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1))))). % 0.20/0.40 thf(3,plain,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1)))),inference(preprocess,[status(thm)],[3]). % 0.20/0.40 thf(4,plain,(sP1 | sP3),inference(choice_rule,[status(thm)],[3])). % 0.20/0.40 thf(5,plain,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1)))),inference(preprocess,[status(thm)],[5]). % 0.20/0.40 thf(6,plain,(~(sP5) | sP2),inference(choice_rule,[status(thm)],[5])). % 0.20/0.40 thf(ax2,axiom,(~(sP1))). % 0.20/0.40 thf(ax1,axiom,sP5). % 0.20/0.40 thf(7,plain,$false,inference(prop_unsat,[status(thm)],[1,2,4,6,ax2,ax1])). % 0.20/0.40 % SZS output end Proof %------------------------------------------------------------------------------