%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n023.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 : Thu Jul 14 23:38:48 EDT 2022 % Result : Unsatisfiable 0.77s 1.15s % Output : CNFRefutation 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n023.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 : Wed Jun 1 17:20:26 EDT 2022 % 0.13/0.35 % CPUTime : % 0.77/1.15 Theorem Proved. % 0.77/1.15 % SZS status Unsatisfiable % 0.77/1.15 % SZS output start CNFRefutation % 0.77/1.15 [1=axiom,[], % 0.77/1.15 multiply(inverse(a),inverse(b)) = d]. % 0.77/1.15 [2=axiom,[], % 0.77/1.15 add(a,b) = c]. % 0.77/1.15 [3=axiom,[], % 0.77/1.15 add(additive_identity,X10) = X10]. % 0.77/1.15 [4=axiom,[], % 0.77/1.15 add(X10,additive_identity) = X10]. % 0.77/1.15 [5=axiom,[], % 0.77/1.15 multiply(multiplicative_identity,X10) = X10]. % 0.77/1.15 [6=axiom,[], % 0.77/1.15 multiply(X10,multiplicative_identity) = X10]. % 0.77/1.15 [8=axiom,[], % 0.77/1.15 multiply(X10,inverse(X10)) = additive_identity]. % 0.77/1.15 [10=axiom,[], % 0.77/1.15 add(X10,inverse(X10)) = multiplicative_identity]. % 0.77/1.15 [11=axiom,[], % 0.77/1.15 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))]. % 0.77/1.15 [12=axiom,[], % 0.77/1.15 add(multiply(X10,X12),multiply(X11,X12)) = multiply(add(X10,X11),X12)]. % 0.77/1.15 [13=axiom,[], % 0.77/1.15 add(X10,multiply(X11,X12)) = multiply(add(X10,X11),add(X10,X12))]. % 0.77/1.15 [14=demod(11),[13], % 0.77/1.15 multiply(add(multiply(X10,X11),X10),add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))]. % 0.77/1.15 [15=demod(12),[13], % 0.77/1.15 multiply(add(multiply(X10,X11),X12),add(multiply(X10,X11),X11)) = multiply(add(X10,X12),X11)]. % 0.77/1.15 [16=axiom,[], % 0.77/1.15 add(multiply(X10,X11),X12) = multiply(add(X10,X12),add(X11,X12))]. % 0.77/1.15 [17=demod(14),[16,16], % 0.77/1.15 multiply(multiply(add(X10,X10),add(X11,X10)),multiply(add(X10,X12),add(X11,X12))) = multiply(X10,add(X11,X12))]. % 0.77/1.15 [18=demod(15),[16,16], % 0.77/1.15 multiply(multiply(add(X10,X11),add(X12,X11)),multiply(add(X10,X12),add(X12,X12))) = multiply(add(X10,X11),X12)]. % 0.77/1.15 [19=axiom,[], % 0.77/1.15 multiply(X10,X11) = multiply(X11,X10)]. % 0.77/1.15 [20=demod(1),[19], % 0.77/1.15 multiply(inverse(b),inverse(a)) = d]. % 0.77/1.15 [21=axiom,[], % 0.77/1.15 add(X10,X11) = add(X11,X10)]. % 0.77/1.15 [22=demod(2),[21], % 0.77/1.15 add(b,a) = c]. % 0.77/1.15 [23=axiom,[], % 0.77/1.15 thtop(X10,X10) = thmfalse]. % 0.77/1.15 [24=axiom,[], % 0.77/1.15 thtop(inverse(c),d) = thmtrue]. % 0.77/1.15 [25=param(10,3),[], % 0.77/1.15 inverse(additive_identity) = multiplicative_identity]. % 0.77/1.15 [27=param(13,5),[], % 0.77/1.15 multiply(add(X10,multiplicative_identity),add(X10,X11)) = add(X10,X11)]. % 0.77/1.15 [29=param(13,8),[4], % 0.77/1.15 multiply(add(X10,X11),add(X10,inverse(X11))) = X10]. % 0.77/1.15 [30=param(13,20),[], % 0.77/1.15 multiply(add(X10,inverse(b)),add(X10,inverse(a))) = add(X10,d)]. % 0.77/1.15 [31=param(21,13),[16], % 0.77/1.15 multiply(add(X10,X11),add(X12,X11)) = multiply(add(X11,X10),add(X11,X12))]. % 0.77/1.15 [32=param(16,5),[], % 0.77/1.15 multiply(add(multiplicative_identity,X11),add(X10,X11)) = add(X10,X11)]. % 0.77/1.15 [34=param(16,8),[3], % 0.77/1.15 multiply(add(X11,X10),add(inverse(X11),X10)) = X10]. % 0.77/1.15 [35=param(16,10),[], % 0.77/1.15 multiply(add(X10,inverse(multiply(X10,X11))),add(X11,inverse(multiply(X10,X11)))) = multiplicative_identity]. % 0.77/1.15 [37=param(34,3),[25], % 0.77/1.15 multiply(X10,add(multiplicative_identity,X10)) = X10]. % 0.77/1.15 [38=param(34,10),[5], % 0.77/1.15 add(inverse(X10),inverse(X10)) = inverse(X10)]. % 0.77/1.15 [39=param(34,10),[6], % 0.77/1.15 add(X10,inverse(inverse(X10))) = inverse(inverse(X10))]. % 0.77/1.15 [47=param(17,34),[34], % 0.77/1.15 multiply(X10,add(inverse(X10),X11)) = multiply(X10,X11)]. % 0.77/1.15 [52=param(37,5),[], % 0.77/1.15 add(multiplicative_identity,multiplicative_identity) = multiplicative_identity]. % 0.77/1.15 [59=param(18,4),[4,4], % 0.77/1.15 multiply(multiply(X10,X11),multiply(add(X10,X11),add(X11,X11))) = multiply(X10,X11)]. % 0.77/1.15 [61=param(18,34),[10,38,5,19], % 0.77/1.15 multiply(inverse(X11),add(X11,X10)) = multiply(X10,inverse(X11))]. % 0.77/1.15 [62=param(18,52),[5,32,27,52,5], % 0.77/1.15 add(X10,X10) = X10]. % 0.77/1.15 [66=demod(59),[62,19], % 0.77/1.15 multiply(multiply(X10,X11),multiply(X11,add(X10,X11))) = multiply(X10,X11)]. % 0.77/1.15 [73=param(29,10),[39,5], % 0.77/1.15 inverse(inverse(X10)) = X10]. % 0.77/1.15 [74=param(29,22),[], % 0.77/1.15 multiply(c,add(b,inverse(a))) = b]. % 0.77/1.15 [75=param(13,74),[], % 0.77/1.15 multiply(add(X10,c),add(X10,add(b,inverse(a)))) = add(X10,b)]. % 0.77/1.15 [76=param(16,74),[], % 0.77/1.15 multiply(add(c,X10),add(add(b,inverse(a)),X10)) = add(b,X10)]. % 0.77/1.15 [77=param(30,10),[5,21], % 0.77/1.15 add(b,inverse(a)) = add(d,b)]. % 0.77/1.15 [78=demod(76),[77], % 0.77/1.15 multiply(add(c,X10),add(add(d,b),X10)) = add(b,X10)]. % 0.77/1.15 [79=demod(75),[77], % 0.77/1.15 multiply(add(X10,c),add(X10,add(d,b))) = add(X10,b)]. % 0.77/1.15 [85=param(30,62),[21], % 0.77/1.15 multiply(inverse(b),add(inverse(b),inverse(a))) = add(d,inverse(b))]. % 0.77/1.15 [90=param(31,3),[4], % 0.77/1.15 multiply(X10,add(X11,X10)) = multiply(X10,add(X10,X11))]. % 0.77/1.15 [104=param(47,4),[8], % 0.77/1.15 multiply(X10,additive_identity) = additive_identity]. % 0.77/1.15 [109=param(13,104),[4,4,19], % 0.77/1.15 multiply(X10,add(X10,X11)) = X10]. % 0.77/1.15 [110=demod(90),[109], % 0.77/1.15 multiply(X10,add(X11,X10)) = X10]. % 0.77/1.15 [116=demod(66),[110,19], % 0.77/1.15 multiply(X10,multiply(X11,X10)) = multiply(X11,X10)]. % 0.77/1.15 [119=demod(85),[109], % 0.77/1.15 add(d,inverse(b)) = inverse(b)]. % 0.77/1.15 [122=param(29,119),[73], % 0.77/1.15 multiply(inverse(b),add(d,b)) = d]. % 0.77/1.15 [137=param(61,21),[], % 0.77/1.15 multiply(inverse(X10),add(X11,X10)) = multiply(X11,inverse(X10))]. % 0.77/1.15 [138=demod(122),[137], % 0.77/1.15 multiply(d,inverse(b)) = d]. % 0.77/1.15 [164=param(116,35),[6,35], % 0.77/1.15 add(X10,inverse(multiply(X11,X10))) = multiplicative_identity]. % 0.77/1.15 [209=param(164,109),[21], % 0.77/1.15 add(inverse(X10),add(X10,X11)) = multiplicative_identity]. % 0.77/1.15 [210=param(164,110),[21], % 0.77/1.15 add(inverse(X10),add(X11,X10)) = multiplicative_identity]. % 0.77/1.15 [211=param(164,138),[21], % 0.77/1.15 add(inverse(d),inverse(b)) = multiplicative_identity]. % 0.77/1.15 [213=param(29,211),[73,21,5], % 0.77/1.15 add(b,inverse(d)) = inverse(d)]. % 0.77/1.15 [240=param(210,22),[21], % 0.77/1.15 add(c,inverse(a)) = multiplicative_identity]. % 0.77/1.15 [247=param(79,210),[21,6,21,10], % 0.77/1.15 add(c,inverse(b)) = multiplicative_identity]. % 0.77/1.15 [249=param(30,247),[240,5,21], % 0.77/1.15 add(d,c) = multiplicative_identity]. % 0.77/1.15 [258=param(34,249),[21,5], % 0.77/1.15 add(c,inverse(d)) = c]. % 0.77/1.15 [263=param(78,258),[21,209,6,213], % 0.77/1.15 inverse(d) = c]. % 0.77/1.15 [266=param(73,263),[], % 0.77/1.15 inverse(c) = d]. % 0.77/1.15 [274=param(24,266),[23], % 0.77/1.15 thmtrue = thmfalse]. % 0.77/1.15 % SZS output end CNFRefutation % 0.77/1.15 Space: 242 KB %------------------------------------------------------------------------------