%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n003.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 10:33:27 EDT 2022 % Result : Unsatisfiable 22.20s 22.56s % Output : CNFRefutation 22.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n003.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jul 2 23:10:09 EDT 2022 % 0.12/0.34 % CPUTime : % 22.20/22.56 Theorem Proved. % 22.20/22.56 % SZS status Unsatisfiable % 22.20/22.56 % SZS output start CNFRefutation % 22.20/22.56 [1=axiom,[], % 22.20/22.56 implies(implies(not(X10),not(X11)),implies(X11,X10)) = truth]. % 22.20/22.56 [2=axiom,[], % 22.20/22.56 implies(implies(X10,X11),X11) = implies(implies(X11,X10),X10)]. % 22.20/22.56 [3=axiom,[], % 22.20/22.56 implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12))) = truth]. % 22.20/22.56 [4=axiom,[], % 22.20/22.56 implies(truth,X10) = X10]. % 22.20/22.56 [5=axiom,[], % 22.20/22.56 thtop(X10,X10) = thmfalse]. % 22.20/22.56 [6=axiom,[2], % 22.20/22.56 thtop(implies(implies(implies(b,a),implies(a,b)),implies(a,b)),truth) = thmtrue]. % 22.20/22.56 [8=param(1,4),[], % 22.20/22.56 implies(implies(not(X10),not(truth)),X10) = truth]. % 22.20/22.56 [11=param(2,4),[], % 22.20/22.56 implies(implies(X10,truth),truth) = implies(X10,X10)]. % 22.20/22.56 [12=param(2,8),[], % 22.20/22.56 implies(implies(not(truth),not(not(truth))),not(not(truth))) = truth]. % 22.20/22.56 [13=param(2,8),[4], % 22.20/22.56 implies(implies(X10,implies(not(X10),not(truth))),implies(not(X10),not(truth))) = X10]. % 22.20/22.56 [17=param(3,1),[4], % 22.20/22.56 implies(implies(implies(X10,X11),X12),implies(implies(not(X11),not(X10)),X12)) = truth]. % 22.20/22.56 [19=param(3,1),[4], % 22.20/22.56 implies(implies(X10,implies(not(X11),not(X12))),implies(X10,implies(X12,X11))) = truth]. % 22.20/22.56 [21=param(3,4),[4], % 22.20/22.56 implies(X10,implies(implies(X10,X11),X11)) = truth]. % 22.20/22.56 [22=param(3,4),[], % 22.20/22.56 implies(implies(X10,truth),implies(X11,implies(X10,X11))) = truth]. % 22.20/22.56 [25=param(3,8),[4], % 22.20/22.56 implies(implies(X10,implies(not(X11),not(truth))),implies(X10,X11)) = truth]. % 22.20/22.56 [33=param(3,21),[4], % 22.20/22.56 implies(implies(implies(implies(X10,X11),X11),X12),implies(X10,X12)) = truth]. % 22.20/22.56 [36=param(21,4),[4], % 22.20/22.56 implies(X10,X10) = truth]. % 22.20/22.56 [41=demod(11),[36], % 22.20/22.56 implies(implies(X10,truth),truth) = truth]. % 22.20/22.56 [53=param(21,41),[], % 22.20/22.56 implies(X10,truth) = truth]. % 22.20/22.56 [54=demod(22),[53,4], % 22.20/22.56 implies(X10,implies(X11,X10)) = truth]. % 22.20/22.56 [65=param(17,8),[4], % 22.20/22.56 implies(implies(not(not(truth)),not(not(X10))),X10) = truth]. % 22.20/22.56 [85=param(19,54),[4], % 22.20/22.56 implies(not(X10),implies(X10,X11)) = truth]. % 22.20/22.56 [87=param(3,85),[4], % 22.20/22.56 implies(implies(X10,not(X11)),implies(X10,implies(X11,X12))) = truth]. % 22.20/22.56 [116=param(25,54),[4], % 22.20/22.56 implies(not(truth),X10) = truth]. % 22.20/22.56 [118=demod(12),[116,4], % 22.20/22.56 not(not(truth)) = truth]. % 22.20/22.56 [122=demod(65),[118,4], % 22.20/22.56 implies(not(not(X10)),X10) = truth]. % 22.20/22.56 [127=param(2,116),[4], % 22.20/22.56 implies(implies(X10,not(truth)),not(truth)) = X10]. % 22.20/22.56 [131=param(1,122),[4], % 22.20/22.56 implies(X10,not(not(X10))) = truth]. % 22.20/22.56 [132=param(2,122),[4,131,4], % 22.20/22.56 not(not(X10)) = X10]. % 22.20/22.56 [134=param(1,132),[], % 22.20/22.56 implies(implies(X10,not(X11)),implies(X11,not(X10))) = truth]. % 22.20/22.56 [136=param(33,3),[4], % 22.20/22.56 implies(X10,implies(implies(X11,X12),implies(implies(X10,X11),X12))) = truth]. % 22.20/22.56 [151=param(17,127),[132,4], % 22.20/22.56 implies(X10,implies(not(X10),not(truth))) = truth]. % 22.20/22.56 [152=demod(13),[151,4], % 22.20/22.56 implies(not(X10),not(truth)) = X10]. % 22.20/22.56 [154=param(2,152),[116,4], % 22.20/22.56 implies(X10,not(truth)) = not(X10)]. % 22.20/22.56 [164=param(3,154),[154], % 22.20/22.56 implies(implies(X10,X11),implies(not(X11),not(X10))) = truth]. % 22.20/22.56 [165=param(17,154),[154], % 22.20/22.56 implies(not(implies(X10,X11)),not(implies(not(X11),not(X10)))) = truth]. % 22.20/22.56 [230=param(2,164),[4,1,4], % 22.20/22.56 implies(not(X10),not(X11)) = implies(X11,X10)]. % 22.20/22.56 [247=demod(33),[-230,-230], % 22.20/22.56 implies(not(implies(X10,X11)),not(implies(implies(not(X12),not(implies(X10,X12))),X11))) = truth]. % 22.20/22.56 [258=demod(2),[-230,-230], % 22.20/22.56 implies(not(X10),not(implies(X11,X10))) = implies(not(X11),not(implies(X10,X11)))]. % 22.20/22.56 [304=param(3,230),[], % 22.20/22.56 implies(implies(X10,X11),implies(implies(X11,X12),implies(not(X12),not(X10)))) = truth]. % 22.20/22.56 [305=param(6,230),[258,-230], % 22.20/22.56 thtop(implies(not(implies(b,a)),not(implies(not(implies(b,a)),not(implies(a,b))))),truth) = thmtrue]. % 22.20/22.56 [347=param(87,230),[], % 22.20/22.56 implies(implies(X10,X11),implies(not(X11),implies(X10,X12))) = truth]. % 22.20/22.56 [384=param(164,134),[4], % 22.20/22.56 implies(not(implies(X10,not(X11))),not(implies(X11,not(X10)))) = truth]. % 22.20/22.56 [697=param(258,85),[-230,132,132,4,132,-230,132], % 22.20/22.56 implies(X10,not(implies(X10,not(implies(X10,X11))))) = implies(X10,X11)]. % 22.20/22.56 [698=param(258,230),[132,132], % 22.20/22.56 implies(X11,not(implies(not(X10),not(X11)))) = implies(X10,not(implies(X10,X11)))]. % 22.20/22.56 [699=param(698,230),[], % 22.20/22.56 implies(X10,not(implies(X10,X11))) = implies(X11,not(implies(X11,X10)))]. % 22.20/22.56 [703=param(699,85),[154,132,-230,132], % 22.20/22.56 implies(implies(X10,X11),not(implies(X10,not(implies(X10,X11))))) = X10]. % 22.20/22.56 [706=param(697,699),[], % 22.20/22.56 implies(X10,not(implies(X11,not(implies(X11,X10))))) = implies(X10,X11)]. % 22.20/22.56 [708=param(703,699),[], % 22.20/22.56 implies(implies(X10,X11),not(implies(X11,not(implies(X11,X10))))) = X10]. % 22.20/22.56 [777=param(247,304),[132,-230,132,132,4], % 22.20/22.56 implies(X10,implies(implies(not(implies(X10,X11)),X12),implies(not(X12),X11))) = truth]. % 22.20/22.56 [962=param(706,230),[], % 22.20/22.56 implies(not(X10),not(implies(not(X11),not(implies(X10,X11))))) = implies(not(X10),not(X11))]. % 22.20/22.56 [1028=param(347,136),[4], % 22.20/22.56 implies(not(implies(implies(X10,X11),implies(implies(X12,X10),X11))),implies(X12,X13)) = truth]. % 22.20/22.56 [1095=param(698,165),[-230,132,4,164,-230,132,4], % 22.20/22.56 not(implies(not(X10),not(X11))) = not(implies(X11,X10))]. % 22.20/22.56 [1101=param(230,1095),[], % 22.20/22.56 implies(not(X10),not(implies(X11,X12))) = implies(implies(not(X12),not(X11)),X10)]. % 22.20/22.56 [1108=param(230,1095),[], % 22.20/22.56 implies(not(implies(not(X10),not(X11))),not(X12)) = implies(X12,implies(X11,X10))]. % 22.20/22.56 [1113=demod(777),[-1108,132], % 22.20/22.56 implies(X10,implies(not(implies(not(X11),X12)),not(implies(not(implies(X10,X11)),X12)))) = truth]. % 22.20/22.56 [1120=param(230,1095),[], % 22.20/22.56 implies(not(X10),not(implies(not(X11),not(X12)))) = implies(implies(X12,X11),X10)]. % 22.20/22.56 [1477=param(698,384),[-1120,132,132,4,134,-1120,132,132,4], % 22.20/22.56 not(implies(X10,not(X11))) = not(implies(X11,not(X10)))]. % 22.20/22.56 [1497=param(230,1477),[], % 22.20/22.56 implies(not(implies(X10,not(X11))),not(X12)) = implies(X12,implies(X11,not(X10)))]. % 22.20/22.56 [4043=param(1113,1028),[-230,132,132,4], % 22.20/22.56 implies(implies(X10,X11),implies(not(implies(implies(X12,X10),X11)),implies(X12,X13))) = truth]. % 22.20/22.56 [4048=param(4043,1497),[132], % 22.20/22.56 implies(implies(X10,X11),implies(not(implies(X12,not(X13))),implies(implies(X13,X10),X11))) = truth]. % 22.20/22.56 [4076=param(4048,4),[132], % 22.20/22.56 implies(implies(X10,X11),implies(X12,implies(implies(X12,X10),X11))) = truth]. % 22.20/22.56 [4115=param(4076,1497),[-230,132,132], % 22.20/22.56 implies(implies(X10,not(X11)),implies(X12,implies(X11,not(implies(X12,X10))))) = truth]. % 22.20/22.56 [4127=param(4115,708),[-1101], % 22.20/22.56 implies(not(implies(X10,X11)),not(implies(implies(X11,X10),implies(X10,X11)))) = truth]. % 22.20/22.56 [4444=param(962,4127),[-230,132,132,4], % 22.20/22.56 implies(not(implies(X10,X11)),not(implies(X11,X10))) = implies(X10,X11)]. % 22.20/22.56 [4451=param(305,4444),[36,5], % 22.20/22.56 thmtrue = thmfalse]. % 22.20/22.56 % SZS output end CNFRefutation % 22.20/22.56 Space: 144173 KB %------------------------------------------------------------------------------