%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : REL012-1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n006.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 : Mon Jul 18 19:23:11 EDT 2022 % Result : Unsatisfiable 1.30s 1.69s % Output : CNFRefutation 1.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : REL012-1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.14 % Command : fiesta-wrapper %s % 0.15/0.35 % Computer : n006.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Fri Jul 8 15:33:06 EDT 2022 % 0.15/0.36 % CPUTime : % 1.30/1.69 Theorem Proved. % 1.30/1.69 % SZS status Unsatisfiable % 1.30/1.69 % SZS output start CNFRefutation % 1.30/1.69 [1=axiom,[], % 1.30/1.69 meet(X10,complement(X10)) = zero]. % 1.30/1.69 [2=axiom,[], % 1.30/1.69 join(X10,complement(X10)) = top]. % 1.30/1.69 [3=axiom,[], % 1.30/1.69 join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11)]. % 1.30/1.69 [4=axiom,[], % 1.30/1.69 converse(composition(X10,X11)) = composition(converse(X11),converse(X10))]. % 1.30/1.69 [5=axiom,[], % 1.30/1.69 join(converse(X10),converse(X11)) = converse(join(X10,X11))]. % 1.30/1.69 [6=axiom,[], % 1.30/1.69 converse(converse(X10)) = X10]. % 1.30/1.69 [8=axiom,[], % 1.30/1.69 composition(X10,one) = X10]. % 1.30/1.69 [10=axiom,[], % 1.30/1.69 complement(join(complement(X10),complement(X11))) = meet(X10,X11)]. % 1.30/1.69 [11=axiom,[10], % 1.30/1.69 join(meet(X10,X11),complement(join(complement(X10),X11))) = X10]. % 1.30/1.69 [12=axiom,[], % 1.30/1.69 join(join(X10,X11),X12) = join(X10,join(X11,X12))]. % 1.30/1.69 [13=axiom,[], % 1.30/1.69 join(X10,X11) = join(X11,X10)]. % 1.30/1.69 [14=demod(3),[13], % 1.30/1.69 join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) = complement(X10)]. % 1.30/1.69 [15=axiom,[], % 1.30/1.69 thtop(X10,X10) = thmfalse]. % 1.30/1.69 [16=axiom,[13], % 1.30/1.69 thtop(join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2))),complement(sk1)) = thmtrue]. % 1.30/1.69 [18=param(5,6),[], % 1.30/1.69 join(converse(X10),X11) = converse(join(X10,converse(X11)))]. % 1.30/1.69 [21=param(4,8),[], % 1.30/1.69 composition(converse(one),converse(X10)) = converse(X10)]. % 1.30/1.69 [22=param(4,6),[], % 1.30/1.69 composition(X10,converse(X11)) = converse(composition(X11,converse(X10)))]. % 1.30/1.69 [25=param(21,6),[6], % 1.30/1.69 composition(converse(one),X10) = X10]. % 1.30/1.69 [26=param(25,8),[], % 1.30/1.69 converse(one) = one]. % 1.30/1.69 [27=demod(25),[26], % 1.30/1.69 composition(one,X10) = X10]. % 1.30/1.69 [33=param(18,2),[], % 1.30/1.69 converse(join(X10,converse(complement(converse(X10))))) = top]. % 1.30/1.69 [35=param(18,13),[], % 1.30/1.69 converse(join(X10,converse(X11))) = join(X11,converse(X10))]. % 1.30/1.69 [42=param(10,2),[1], % 1.30/1.69 complement(top) = zero]. % 1.30/1.69 [43=param(2,10),[12], % 1.30/1.69 join(complement(X10),join(complement(X11),meet(X10,X11))) = top]. % 1.30/1.69 [46=param(10,13),[10], % 1.30/1.69 meet(X10,X11) = meet(X11,X10)]. % 1.30/1.69 [50=param(10,42),[], % 1.30/1.69 complement(join(zero,complement(X10))) = meet(top,X10)]. % 1.30/1.69 [51=param(11,1),[10], % 1.30/1.69 join(zero,meet(X10,X10)) = X10]. % 1.30/1.69 [59=param(12,11),[], % 1.30/1.69 join(meet(X10,X12),join(complement(join(complement(X10),X12)),X11)) = join(X10,X11)]. % 1.30/1.69 [60=param(12,13),[], % 1.30/1.69 join(X10,join(X11,X12)) = join(X12,join(X10,X11))]. % 1.30/1.69 [61=param(12,13),[12], % 1.30/1.69 join(X10,join(X11,X12)) = join(X11,join(X10,X12))]. % 1.30/1.69 [64=param(11,46),[], % 1.30/1.69 join(meet(X10,X11),complement(join(complement(X11),X10))) = X11]. % 1.30/1.69 [68=param(14,4),[6], % 1.30/1.69 join(complement(converse(X10)),composition(X11,complement(converse(composition(X10,X11))))) = complement(converse(X10))]. % 1.30/1.69 [72=param(14,26),[27,27], % 1.30/1.69 join(complement(X10),complement(X10)) = complement(X10)]. % 1.30/1.69 [78=param(10,72),[], % 1.30/1.69 meet(X10,X10) = complement(complement(X10))]. % 1.30/1.69 [80=demod(51),[78], % 1.30/1.69 join(zero,complement(complement(X10))) = X10]. % 1.30/1.69 [82=param(72,42),[42,42], % 1.30/1.69 join(zero,zero) = zero]. % 1.30/1.69 [87=param(12,82),[], % 1.30/1.69 join(zero,join(zero,X10)) = join(zero,X10)]. % 1.30/1.69 [95=param(80,10),[], % 1.30/1.69 join(complement(X10),complement(X11)) = join(zero,complement(meet(X10,X11)))]. % 1.30/1.69 [109=param(87,80),[80], % 1.30/1.69 join(zero,X10) = X10]. % 1.30/1.69 [110=demod(50),[109], % 1.30/1.69 meet(top,X10) = complement(complement(X10))]. % 1.30/1.69 [115=demod(80),[109], % 1.30/1.69 complement(complement(X10)) = X10]. % 1.30/1.69 [116=demod(110),[115], % 1.30/1.69 meet(top,X10) = X10]. % 1.30/1.69 [117=demod(78),[115], % 1.30/1.69 meet(X10,X10) = X10]. % 1.30/1.69 [120=demod(95),[109], % 1.30/1.69 join(complement(X10),complement(X11)) = complement(meet(X10,X11))]. % 1.30/1.69 [142=param(115,42),[], % 1.30/1.69 complement(zero) = top]. % 1.30/1.69 [206=param(6,33),[], % 1.30/1.69 join(X10,converse(complement(converse(X10)))) = converse(top)]. % 1.30/1.69 [267=param(43,117),[13,2,13], % 1.30/1.69 join(top,complement(X10)) = top]. % 1.30/1.69 [272=param(267,115),[], % 1.30/1.69 join(top,X10) = top]. % 1.30/1.69 [283=param(35,272),[], % 1.30/1.69 join(X10,converse(top)) = converse(top)]. % 1.30/1.69 [289=param(283,272),[], % 1.30/1.69 converse(top) = top]. % 1.30/1.69 [291=demod(206),[289], % 1.30/1.69 join(X10,converse(complement(converse(X10)))) = top]. % 1.30/1.69 [309=param(11,291),[42,13,109], % 1.30/1.69 meet(X10,converse(complement(converse(complement(X10))))) = X10]. % 1.30/1.69 [381=param(64,1),[115,109], % 1.30/1.69 complement(join(X10,X10)) = complement(X10)]. % 1.30/1.69 [387=param(61,64),[], % 1.30/1.69 join(meet(X12,X11),join(X10,complement(join(complement(X11),X12)))) = join(X10,X11)]. % 1.30/1.69 [401=param(115,381),[115], % 1.30/1.69 join(X10,X10) = X10]. % 1.30/1.69 [409=param(60,401),[], % 1.30/1.69 join(X11,join(X10,X11)) = join(X10,X11)]. % 1.30/1.69 [421=param(409,59),[13,11], % 1.30/1.69 join(X10,meet(X10,X11)) = X10]. % 1.30/1.69 [537=param(120,115),[], % 1.30/1.69 join(X10,complement(X11)) = complement(meet(complement(X10),X11))]. % 1.30/1.69 [563=demod(387),[537,537], % 1.30/1.69 complement(meet(complement(meet(X10,X11)),meet(complement(X12),join(complement(X11),X10)))) = join(X12,X11)]. % 1.30/1.69 [586=param(537,13),[], % 1.30/1.69 join(complement(X11),X10) = complement(meet(complement(X10),X11))]. % 1.30/1.69 [596=demod(68),[586,46], % 1.30/1.69 complement(meet(converse(X10),complement(composition(X11,complement(converse(composition(X10,X11))))))) = complement(converse(X10))]. % 1.30/1.69 [614=demod(563),[586], % 1.30/1.69 complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) = join(X12,X11)]. % 1.30/1.69 [632=param(537,18),[], % 1.30/1.69 converse(join(X10,converse(complement(X11)))) = complement(meet(complement(converse(X10)),X11))]. % 1.30/1.69 [635=param(537,115),[], % 1.30/1.69 join(X10,X11) = complement(meet(complement(X10),complement(X11)))]. % 1.30/1.69 [644=demod(614),[635], % 1.30/1.69 complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) = complement(meet(complement(X12),complement(X11)))]. % 1.30/1.69 [697=demod(291),[635], % 1.30/1.69 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = top]. % 1.30/1.69 [700=demod(632),[635], % 1.30/1.69 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),complement(converse(complement(X11))))))]. % 1.30/1.69 [712=demod(421),[635], % 1.30/1.69 complement(meet(complement(X10),complement(meet(X10,X11)))) = X10]. % 1.30/1.69 [844=param(16,635),[115,22], % 1.30/1.69 thtop(complement(meet(sk1,complement(converse(composition(sk2,converse(complement(composition(sk1,sk2)))))))),complement(sk1)) = thmtrue]. % 1.30/1.69 [895=param(115,712),[], % 1.30/1.69 meet(complement(X10),complement(meet(X10,X11))) = complement(X10)]. % 1.30/1.69 [896=param(895,46),[], % 1.30/1.69 meet(complement(X10),complement(meet(X11,X10))) = complement(X10)]. % 1.30/1.69 [954=param(1,697),[46,116], % 1.30/1.69 meet(complement(X10),complement(converse(complement(converse(X10))))) = zero]. % 1.30/1.69 [1082=param(115,596),[115], % 1.30/1.69 meet(converse(X10),complement(composition(X11,complement(converse(composition(X10,X11)))))) = converse(X10)]. % 1.30/1.69 [1168=param(644,895),[115,46,115], % 1.30/1.69 complement(meet(X10,complement(meet(X10,X11)))) = complement(meet(X10,complement(X11)))]. % 1.30/1.69 [1173=param(115,1168),[115], % 1.30/1.69 meet(X10,complement(meet(X10,X11))) = meet(X10,complement(X11))]. % 1.30/1.69 [1177=param(1173,954),[142,46,116,115], % 1.30/1.69 meet(complement(X10),converse(complement(converse(X10)))) = complement(X10)]. % 1.30/1.69 [1217=param(896,1177),[115,46], % 1.30/1.69 meet(X10,complement(converse(complement(converse(X10))))) = complement(converse(complement(converse(X10))))]. % 1.30/1.69 [1806=param(700,309),[115,115,6,1217,115,6], % 1.30/1.69 complement(converse(complement(X10))) = converse(X10)]. % 1.30/1.69 [1808=demod(700),[1806], % 1.30/1.69 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),converse(X11))))]. % 1.30/1.69 [1839=param(1806,115),[], % 1.30/1.69 complement(converse(X10)) = converse(complement(X10))]. % 1.30/1.69 [1843=demod(1808),[1839], % 1.30/1.69 complement(meet(converse(complement(X10)),X11)) = converse(complement(meet(complement(X10),converse(X11))))]. % 1.30/1.69 [1953=demod(1082),[1839], % 1.30/1.69 meet(converse(X10),complement(composition(X11,converse(complement(composition(X10,X11)))))) = converse(X10)]. % 1.30/1.69 [2010=param(844,1839),[], % 1.30/1.69 thtop(complement(meet(sk1,converse(complement(composition(sk2,converse(complement(composition(sk1,sk2)))))))),complement(sk1)) = thmtrue]. % 1.30/1.69 [2103=param(1843,115),[115], % 1.30/1.69 complement(meet(converse(X10),X11)) = converse(complement(meet(X10,converse(X11))))]. % 1.30/1.69 [2110=param(115,2103),[1839,115], % 1.30/1.69 meet(converse(X10),X11) = converse(meet(X10,converse(X11)))]. % 1.30/1.69 [2160=demod(1953),[2110], % 1.30/1.69 converse(meet(X10,converse(complement(composition(X11,converse(complement(composition(X10,X11)))))))) = converse(X10)]. % 1.30/1.69 [2184=param(2110,46),[], % 1.30/1.69 converse(meet(X10,converse(X11))) = meet(X11,converse(X10))]. % 1.30/1.69 [2421=param(2010,2184),[46,2110,2160,6,15], % 1.30/1.69 thmtrue = thmfalse]. % 1.30/1.69 % SZS output end CNFRefutation % 1.30/1.69 Space: 4227 KB %------------------------------------------------------------------------------