%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n019.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 10:33:47 EDT 2022 % Result : Unsatisfiable 5.02s 5.46s % Output : CNFRefutation 5.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.11/0.33 % Computer : n019.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 4 19:24:23 EDT 2022 % 0.11/0.33 % CPUTime : % 5.02/5.46 Theorem Proved. % 5.02/5.46 % SZS status Unsatisfiable % 5.02/5.46 % SZS output start CNFRefutation % 5.02/5.46 [1=axiom,[], % 5.02/5.46 xor(truth,and_star(X10,xor(truth,X11))) = implies(X10,X11)]. % 5.02/5.46 [2=axiom,[], % 5.02/5.46 not(truth) = falsehood]. % 5.02/5.46 [3=axiom,[], % 5.02/5.46 and_star(X10,X11) = and_star(X11,X10)]. % 5.02/5.46 [5=axiom,[], % 5.02/5.46 xor(X10,X11) = xor(X11,X10)]. % 5.02/5.46 [6=axiom,[5,3,5,3], % 5.02/5.46 and_star(X10,xor(truth,and_star(xor(truth,X11),X10))) = and_star(X11,xor(truth,and_star(xor(truth,X10),X11)))]. % 5.02/5.46 [7=axiom,[], % 5.02/5.46 xor(xor(X10,truth),X11) = xor(X10,xor(truth,X11))]. % 5.02/5.46 [10=axiom,[], % 5.02/5.46 and_star(X10,truth) = X10]. % 5.02/5.46 [12=axiom,[], % 5.02/5.46 xor(X10,falsehood) = X10]. % 5.02/5.46 [13=axiom,[], % 5.02/5.46 xor(X10,truth) = not(X10)]. % 5.02/5.46 [14=demod(7),[13], % 5.02/5.46 xor(not(X10),X11) = xor(X10,xor(truth,X11))]. % 5.02/5.46 [15=axiom,[], % 5.02/5.46 thtop(X10,X10) = thmfalse]. % 5.02/5.46 [16=axiom,[], % 5.02/5.46 thtop(implies(implies(x,y),y),implies(implies(y,x),x)) = thmtrue]. % 5.02/5.46 [19=param(1,12),[10], % 5.02/5.46 xor(truth,X10) = implies(X10,falsehood)]. % 5.02/5.46 [20=demod(14),[19], % 5.02/5.46 xor(not(X10),X11) = xor(X10,implies(X11,falsehood))]. % 5.02/5.46 [21=demod(1),[19,19], % 5.02/5.46 implies(and_star(X10,implies(X11,falsehood)),falsehood) = implies(X10,X11)]. % 5.02/5.46 [23=demod(6),[19,19,19,19], % 5.02/5.46 and_star(X10,implies(and_star(implies(X11,falsehood),X10),falsehood)) = and_star(X11,implies(and_star(implies(X10,falsehood),X11),falsehood))]. % 5.02/5.46 [29=param(5,12),[], % 5.02/5.46 xor(falsehood,X10) = X10]. % 5.02/5.46 [30=param(5,13),[19], % 5.02/5.46 implies(X10,falsehood) = not(X10)]. % 5.02/5.46 [32=demod(19),[30], % 5.02/5.46 xor(truth,X10) = not(X10)]. % 5.02/5.46 [33=demod(20),[30], % 5.02/5.46 xor(not(X10),X11) = xor(X10,not(X11))]. % 5.02/5.46 [34=demod(21),[30,30], % 5.02/5.46 not(and_star(X10,not(X11))) = implies(X10,X11)]. % 5.02/5.46 [35=demod(23),[30,30,30,30], % 5.02/5.46 and_star(X10,not(and_star(not(X11),X10))) = and_star(X11,not(and_star(not(X10),X11)))]. % 5.02/5.46 [49=param(33,2),[29,32], % 5.02/5.46 not(not(X10)) = X10]. % 5.02/5.46 [55=param(34,3),[], % 5.02/5.46 not(and_star(not(X10),X11)) = implies(X11,X10)]. % 5.02/5.46 [56=demod(35),[55,55], % 5.02/5.46 and_star(X10,implies(X10,X11)) = and_star(X11,implies(X11,X10))]. % 5.02/5.46 [63=param(34,49),[], % 5.02/5.46 not(and_star(X10,X11)) = implies(X10,not(X11))]. % 5.02/5.46 [68=demod(55),[63], % 5.02/5.46 implies(not(X10),not(X11)) = implies(X11,X10)]. % 5.02/5.46 [72=param(63,3),[63], % 5.02/5.46 implies(X10,not(X11)) = implies(X11,not(X10))]. % 5.02/5.46 [78=param(49,63),[], % 5.02/5.46 and_star(X10,X11) = not(implies(X10,not(X11)))]. % 5.02/5.46 [80=demod(3),[78,78], % 5.02/5.46 not(implies(X10,not(X11))) = not(implies(X11,not(X10)))]. % 5.02/5.46 [82=demod(56),[78,78], % 5.02/5.46 not(implies(X10,not(implies(X10,X11)))) = not(implies(X11,not(implies(X11,X10))))]. % 5.02/5.46 [156=param(80,49),[], % 5.02/5.46 not(implies(X10,X11)) = not(implies(not(X11),not(X10)))]. % 5.02/5.46 [174=param(49,82),[49], % 5.02/5.46 implies(X10,not(implies(X10,X11))) = implies(X11,not(implies(X11,X10)))]. % 5.02/5.46 [237=param(68,156),[], % 5.02/5.46 implies(not(X10),not(implies(not(X11),not(X12)))) = implies(implies(X12,X11),X10)]. % 5.02/5.46 [452=param(174,68),[], % 5.02/5.46 implies(X10,not(implies(not(X11),not(X10)))) = implies(X11,not(implies(X11,X10)))]. % 5.02/5.46 [605=param(237,68),[], % 5.02/5.46 implies(implies(X10,X11),X12) = implies(implies(not(X11),not(X10)),X12)]. % 5.02/5.46 [998=param(452,49),[], % 5.02/5.46 implies(not(X10),not(implies(not(X11),X10))) = implies(X11,not(implies(X11,not(X10))))]. % 5.02/5.46 [1000=param(998,49),[], % 5.02/5.46 implies(not(X10),not(implies(X11,X10))) = implies(not(X11),not(implies(not(X11),not(X10))))]. % 5.02/5.46 [1543=param(16,605),[72,49,-68,-68,1000,72,49,15], % 5.02/5.46 thmtrue = thmfalse]. % 5.02/5.46 % SZS output end CNFRefutation % 5.02/5.46 Space: 41518 KB %------------------------------------------------------------------------------