%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYN991^1 : TPTP v9.2.0. Released v3.7.0. % 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 : 300s % DateTime : Thu Oct 9 03:19:01 PM UTC 2025 % Result : Unsatisfiable 2.14s 2.33s % Output : Proof 2.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN991^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Wed Oct 8 15:05:38 EDT 2025 % 0.13/0.33 % CPUTime : % 2.14/2.33 % SZS status Unsatisfiable % 2.14/2.33 % Mode: mode506 % 2.14/2.33 % Inferences: 61238 % 2.14/2.33 % SZS output start Proof % 2.14/2.33 thf(ty_eigen__0, type, eigen__0 : $i). % 2.14/2.33 thf(sP1,plain,sP1 <=> (![X1:$i]:$false),introduced(definition,[new_symbols(definition,[sP1])])). % 2.14/2.33 thf(sP2,plain,sP2 <=> (![X1:$i]:(~($false))),introduced(definition,[new_symbols(definition,[sP2])])). % 2.14/2.33 thf(sP3,plain,sP3 <=> (![X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))),introduced(definition,[new_symbols(definition,[sP3])])). % 2.14/2.33 thf(sP4,plain,sP4 <=> $false,introduced(definition,[new_symbols(definition,[sP4])])). % 2.14/2.33 thf(def_refl,definition,(refl = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))). % 2.14/2.33 thf(1,plain,(~(sP2) | ~(sP4)),inference(all_rule,[status(thm)],[])). % 2.14/2.33 thf(2,plain,(~(sP1) | sP4),inference(all_rule,[status(thm)],[])). % 2.14/2.33 thf(3,plain,(~(sP3) | sP2),inference(all_rule,[status(thm)],[])). % 2.14/2.33 thf(4,plain,(~(sP3) | sP1),inference(all_rule,[status(thm)],[])). % 2.14/2.33 thf(ax,axiom,((!!) @ refl)). % 2.14/2.33 thf(5,plain,sP3,inference(preprocess,[status(thm)],[ax]). % 2.14/2.33 thf(6,plain,$false,inference(prop_unsat,[status(thm)],[1,2,3,4,5])). % 2.14/2.33 % SZS output end Proof %------------------------------------------------------------------------------