%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : LCL162-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n007.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 10:33:46 EDT 2022 % Result : Unsatisfiable 0.80s 1.16s % Output : CNFRefutation 0.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : LCL162-1 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n007.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 : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 4 13:47:27 EDT 2022 % 0.13/0.34 % CPUTime : % 0.80/1.16 Theorem Proved. % 0.80/1.16 % SZS status Unsatisfiable % 0.80/1.16 % SZS output start CNFRefutation % 0.80/1.16 [1=axiom,[], % 0.80/1.16 xor(truth,and_star(X10,xor(truth,X11))) = implies(X10,X11)]. % 0.80/1.16 [2=axiom,[], % 0.80/1.16 not(truth) = falsehood]. % 0.80/1.16 [3=axiom,[], % 0.80/1.16 and_star(X10,X11) = and_star(X11,X10)]. % 0.80/1.16 [4=axiom,[], % 0.80/1.16 and_star(and_star(X10,X11),X12) = and_star(X10,and_star(X11,X12))]. % 0.80/1.16 [5=axiom,[], % 0.80/1.16 xor(X10,X11) = xor(X11,X10)]. % 0.80/1.16 [6=axiom,[5,3,5,3], % 0.80/1.16 and_star(X10,xor(truth,and_star(xor(truth,X11),X10))) = and_star(X11,xor(truth,and_star(xor(truth,X10),X11)))]. % 0.80/1.16 [7=axiom,[], % 0.80/1.16 xor(xor(X10,truth),X11) = xor(X10,xor(truth,X11))]. % 0.80/1.16 [8=axiom,[3], % 0.80/1.16 and_star(X10,xor(truth,X10)) = falsehood]. % 0.80/1.16 [9=axiom,[], % 0.80/1.16 and_star(X10,falsehood) = falsehood]. % 0.80/1.16 [10=axiom,[], % 0.80/1.16 and_star(X10,truth) = X10]. % 0.80/1.16 [12=axiom,[], % 0.80/1.16 xor(X10,falsehood) = X10]. % 0.80/1.16 [13=axiom,[], % 0.80/1.16 xor(X10,truth) = not(X10)]. % 0.80/1.16 [14=demod(7),[13], % 0.80/1.16 xor(not(X10),X11) = xor(X10,xor(truth,X11))]. % 0.80/1.16 [15=axiom,[], % 0.80/1.16 thtop(X10,X10) = thmfalse]. % 0.80/1.16 [16=axiom,[], % 0.80/1.16 thtop(implies(implies(x,y),implies(implies(y,z),implies(x,z))),truth) = thmtrue]. % 0.80/1.16 [19=param(1,12),[10], % 0.80/1.16 xor(truth,X10) = implies(X10,falsehood)]. % 0.80/1.16 [20=demod(14),[19], % 0.80/1.16 xor(not(X10),X11) = xor(X10,implies(X11,falsehood))]. % 0.80/1.16 [21=demod(1),[19,19], % 0.80/1.16 implies(and_star(X10,implies(X11,falsehood)),falsehood) = implies(X10,X11)]. % 0.80/1.16 [22=demod(8),[19], % 0.80/1.16 and_star(X10,implies(X10,falsehood)) = falsehood]. % 0.80/1.16 [23=demod(6),[19,19,19,19], % 0.80/1.16 and_star(X10,implies(and_star(implies(X11,falsehood),X10),falsehood)) = and_star(X11,implies(and_star(implies(X10,falsehood),X11),falsehood))]. % 0.80/1.16 [27=param(4,3),[], % 0.80/1.16 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X10,X11))]. % 0.80/1.16 [28=param(4,3),[4], % 0.80/1.16 and_star(X10,and_star(X11,X12)) = and_star(X11,and_star(X10,X12))]. % 0.80/1.16 [29=param(5,12),[], % 0.80/1.16 xor(falsehood,X10) = X10]. % 0.80/1.16 [30=param(5,13),[19], % 0.80/1.16 implies(X10,falsehood) = not(X10)]. % 0.80/1.16 [31=demod(22),[30], % 0.80/1.16 and_star(X10,not(X10)) = falsehood]. % 0.80/1.16 [32=demod(19),[30], % 0.80/1.16 xor(truth,X10) = not(X10)]. % 0.80/1.16 [33=demod(20),[30], % 0.80/1.16 xor(not(X10),X11) = xor(X10,not(X11))]. % 0.80/1.16 [34=demod(21),[30,30], % 0.80/1.16 not(and_star(X10,not(X11))) = implies(X10,X11)]. % 0.80/1.16 [35=demod(23),[30,30,30,30], % 0.80/1.16 and_star(X10,not(and_star(not(X11),X10))) = and_star(X11,not(and_star(not(X10),X11)))]. % 0.80/1.16 [37=param(29,13),[], % 0.80/1.16 not(falsehood) = truth]. % 0.80/1.16 [48=param(28,31),[9], % 0.80/1.16 and_star(X10,and_star(X11,not(X10))) = falsehood]. % 0.80/1.16 [49=param(33,2),[29,32], % 0.80/1.16 not(not(X10)) = X10]. % 0.80/1.16 [55=param(34,3),[], % 0.80/1.16 not(and_star(not(X10),X11)) = implies(X11,X10)]. % 0.80/1.16 [56=demod(35),[55,55], % 0.80/1.16 and_star(X10,implies(X10,X11)) = and_star(X11,implies(X11,X10))]. % 0.80/1.16 [57=param(34,4),[], % 0.80/1.16 not(and_star(X10,and_star(X11,not(X12)))) = implies(and_star(X10,X11),X12)]. % 0.80/1.16 [63=param(34,49),[], % 0.80/1.16 not(and_star(X10,X11)) = implies(X10,not(X11))]. % 0.80/1.16 [67=demod(57),[63,63,49], % 0.80/1.16 implies(and_star(X10,X11),X12) = implies(X10,implies(X11,X12))]. % 0.80/1.16 [68=demod(55),[63], % 0.80/1.16 implies(not(X10),not(X11)) = implies(X11,X10)]. % 0.80/1.16 [72=param(63,3),[63], % 0.80/1.16 implies(X10,not(X11)) = implies(X11,not(X10))]. % 0.80/1.16 [73=param(63,27),[63,63,63], % 0.80/1.16 implies(X10,implies(X11,not(X12))) = implies(X11,implies(X12,not(X10)))]. % 0.80/1.16 [77=param(63,48),[37,63,49], % 0.80/1.16 implies(X10,implies(X11,X10)) = truth]. % 0.80/1.16 [78=param(49,63),[], % 0.80/1.16 and_star(X10,X11) = not(implies(X10,not(X11)))]. % 0.80/1.16 [79=demod(67),[78], % 0.80/1.16 implies(not(implies(X10,not(X11))),X12) = implies(X10,implies(X11,X12))]. % 0.80/1.16 [81=demod(28),[78,78,49,78,78,49], % 0.80/1.16 not(implies(X10,implies(X11,not(X12)))) = not(implies(X11,implies(X10,not(X12))))]. % 0.80/1.16 [82=demod(56),[78,78], % 0.80/1.16 not(implies(X10,not(implies(X10,X11)))) = not(implies(X11,not(implies(X11,X10))))]. % 0.80/1.16 [101=param(68,49),[], % 0.80/1.16 implies(not(X10),X11) = implies(not(X11),X10)]. % 0.80/1.16 [103=param(77,68),[], % 0.80/1.16 implies(X10,implies(not(X10),not(X11))) = truth]. % 0.80/1.16 [104=param(103,49),[], % 0.80/1.16 implies(X10,implies(not(X10),X11)) = truth]. % 0.80/1.16 [105=param(73,49),[], % 0.80/1.16 implies(X10,implies(X11,X12)) = implies(X11,implies(not(X12),not(X10)))]. % 0.80/1.16 [111=param(104,73),[49], % 0.80/1.16 implies(X10,implies(X11,implies(X12,X10))) = truth]. % 0.80/1.16 [114=param(73,68),[49], % 0.80/1.16 implies(X10,implies(X11,X12)) = implies(X11,implies(X10,X12))]. % 0.80/1.16 [124=param(111,101),[], % 0.80/1.16 implies(X10,implies(not(implies(X11,X10)),X12)) = truth]. % 0.80/1.16 [134=param(124,68),[], % 0.80/1.16 implies(not(X10),implies(not(implies(X10,X11)),X12)) = truth]. % 0.80/1.16 [174=param(49,82),[49], % 0.80/1.16 implies(X10,not(implies(X10,X11))) = implies(X11,not(implies(X11,X10)))]. % 0.80/1.16 [215=param(134,82),[79], % 0.80/1.16 implies(not(X10),implies(X11,implies(implies(X11,X10),X12))) = truth]. % 0.80/1.16 [264=param(114,79),[79], % 0.80/1.16 implies(X10,implies(X11,implies(X12,X13))) = implies(X11,implies(X12,implies(X10,X13)))]. % 0.80/1.16 [295=param(16,114),[105,264], % 0.80/1.16 thtop(implies(x,implies(not(z),implies(implies(y,z),not(implies(x,y))))),truth) = thmtrue]. % 0.80/1.16 [297=param(295,114),[], % 0.80/1.16 thtop(implies(not(z),implies(x,implies(implies(y,z),not(implies(x,y))))),truth) = thmtrue]. % 0.80/1.16 [308=param(297,73),[72,174], % 0.80/1.16 thtop(implies(not(z),implies(implies(y,z),implies(y,not(implies(y,x))))),truth) = thmtrue]. % 0.80/1.16 [331=param(308,68),[81,49,-68,49,215,15], % 0.80/1.16 thmtrue = thmfalse]. % 0.80/1.16 % SZS output end CNFRefutation % 0.80/1.16 Space: 490 KB %------------------------------------------------------------------------------