%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n026.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 0.85s 1.24s % Output : CNFRefutation 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 1 23:56:42 EDT 2022 % 0.12/0.34 % CPUTime : % 0.85/1.24 Theorem Proved. % 0.85/1.24 % SZS status Unsatisfiable % 0.85/1.24 % SZS output start CNFRefutation % 0.85/1.24 [1=axiom,[], % 0.85/1.24 add(inverse(a),inverse(b)) = d]. % 0.85/1.24 [2=axiom,[], % 0.85/1.24 multiply(a,b) = c]. % 0.85/1.24 [3=axiom,[], % 0.85/1.24 add(additive_identity,X10) = X10]. % 0.85/1.24 [4=axiom,[], % 0.85/1.24 add(X10,additive_identity) = X10]. % 0.85/1.24 [5=axiom,[], % 0.85/1.24 multiply(multiplicative_identity,X10) = X10]. % 0.85/1.24 [6=axiom,[], % 0.85/1.24 multiply(X10,multiplicative_identity) = X10]. % 0.85/1.24 [8=axiom,[], % 0.85/1.24 multiply(X10,inverse(X10)) = additive_identity]. % 0.85/1.24 [10=axiom,[], % 0.85/1.24 add(X10,inverse(X10)) = multiplicative_identity]. % 0.85/1.24 [11=axiom,[], % 0.85/1.24 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))]. % 0.85/1.24 [12=axiom,[], % 0.85/1.24 add(multiply(X10,X12),multiply(X11,X12)) = multiply(add(X10,X11),X12)]. % 0.85/1.24 [13=axiom,[], % 0.85/1.24 add(X10,multiply(X11,X12)) = multiply(add(X10,X11),add(X10,X12))]. % 0.85/1.24 [14=demod(11),[13], % 0.85/1.24 multiply(add(multiply(X10,X11),X10),add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))]. % 0.85/1.24 [15=demod(12),[13], % 0.85/1.24 multiply(add(multiply(X10,X11),X12),add(multiply(X10,X11),X11)) = multiply(add(X10,X12),X11)]. % 0.85/1.24 [16=axiom,[], % 0.85/1.24 add(multiply(X10,X11),X12) = multiply(add(X10,X12),add(X11,X12))]. % 0.85/1.24 [17=demod(14),[16,16], % 0.85/1.24 multiply(multiply(add(X10,X10),add(X11,X10)),multiply(add(X10,X12),add(X11,X12))) = multiply(X10,add(X11,X12))]. % 0.85/1.24 [18=demod(15),[16,16], % 0.85/1.24 multiply(multiply(add(X10,X11),add(X12,X11)),multiply(add(X10,X12),add(X12,X12))) = multiply(add(X10,X11),X12)]. % 0.85/1.24 [19=axiom,[], % 0.85/1.24 multiply(X10,X11) = multiply(X11,X10)]. % 0.85/1.24 [20=demod(2),[19], % 0.85/1.24 multiply(b,a) = c]. % 0.85/1.24 [21=axiom,[], % 0.85/1.24 add(X10,X11) = add(X11,X10)]. % 0.85/1.24 [22=demod(1),[21], % 0.85/1.24 add(inverse(b),inverse(a)) = d]. % 0.85/1.24 [23=axiom,[], % 0.85/1.24 thtop(X10,X10) = thmfalse]. % 0.85/1.24 [24=axiom,[], % 0.85/1.24 thtop(inverse(c),d) = thmtrue]. % 0.85/1.24 [27=param(13,5),[], % 0.85/1.24 multiply(add(X10,multiplicative_identity),add(X10,X11)) = add(X10,X11)]. % 0.85/1.24 [29=param(13,8),[4], % 0.85/1.24 multiply(add(X10,X11),add(X10,inverse(X11))) = X10]. % 0.85/1.24 [30=param(13,20),[], % 0.85/1.24 multiply(add(X10,b),add(X10,a)) = add(X10,c)]. % 0.85/1.24 [31=param(21,13),[16], % 0.85/1.24 multiply(add(X10,X11),add(X12,X11)) = multiply(add(X11,X10),add(X11,X12))]. % 0.85/1.24 [34=param(16,8),[3], % 0.85/1.24 multiply(add(X11,X10),add(inverse(X11),X10)) = X10]. % 0.85/1.24 [35=param(16,10),[], % 0.85/1.24 multiply(add(X10,inverse(multiply(X10,X11))),add(X11,inverse(multiply(X10,X11)))) = multiplicative_identity]. % 0.85/1.24 [36=param(16,20),[], % 0.85/1.24 multiply(add(b,X10),add(a,X10)) = add(c,X10)]. % 0.85/1.24 [38=param(36,10),[6], % 0.85/1.24 add(b,inverse(a)) = add(c,inverse(a))]. % 0.85/1.24 [43=param(17,4),[4,19,4], % 0.85/1.24 multiply(multiply(X10,X11),multiply(add(X10,X10),add(X11,X10))) = multiply(X10,X11)]. % 0.85/1.24 [51=param(18,36),[36,19], % 0.85/1.24 multiply(a,add(b,X10)) = multiply(add(c,X10),add(c,a))]. % 0.85/1.24 [52=param(51,4),[19,20,4], % 0.85/1.24 multiply(c,add(c,a)) = c]. % 0.85/1.24 [55=param(51,38),[19,29], % 0.85/1.24 multiply(a,add(c,inverse(a))) = c]. % 0.85/1.24 [57=param(16,52),[], % 0.85/1.24 multiply(add(c,X10),add(add(c,a),X10)) = add(c,X10)]. % 0.85/1.24 [59=param(27,10),[6,10], % 0.85/1.24 add(X10,multiplicative_identity) = multiplicative_identity]. % 0.85/1.24 [60=param(17,59),[59,5,6,59,6], % 0.85/1.24 multiply(add(X10,X10),add(X11,X10)) = X10]. % 0.85/1.24 [62=demod(43),[60,19], % 0.85/1.24 multiply(X10,multiply(X10,X11)) = multiply(X10,X11)]. % 0.85/1.24 [63=demod(17),[60], % 0.85/1.24 multiply(X10,multiply(add(X10,X11),add(X12,X11))) = multiply(X10,add(X12,X11))]. % 0.85/1.24 [68=param(51,59),[6,59,5], % 0.85/1.24 add(c,a) = a]. % 0.85/1.24 [69=demod(57),[68], % 0.85/1.24 multiply(add(c,X10),add(a,X10)) = add(c,X10)]. % 0.85/1.24 [75=param(29,10),[5], % 0.85/1.24 add(X10,inverse(inverse(X10))) = X10]. % 0.85/1.24 [76=param(29,10),[6], % 0.85/1.24 add(X10,X10) = X10]. % 0.85/1.24 [77=demod(60),[76], % 0.85/1.24 multiply(X10,add(X11,X10)) = X10]. % 0.85/1.24 [95=param(31,3),[77,4], % 0.85/1.24 multiply(X10,add(X10,X11)) = X10]. % 0.85/1.24 [115=param(95,22),[19], % 0.85/1.24 multiply(d,inverse(b)) = inverse(b)]. % 0.85/1.24 [118=param(34,10),[75,6], % 0.85/1.24 inverse(inverse(X10)) = X10]. % 0.85/1.24 [119=param(34,22),[118,38], % 0.85/1.24 multiply(d,add(c,inverse(a))) = inverse(a)]. % 0.85/1.24 [133=param(77,22),[19], % 0.85/1.24 multiply(d,inverse(a)) = inverse(a)]. % 0.85/1.24 [138=param(16,55),[], % 0.85/1.24 multiply(add(a,X10),add(add(c,inverse(a)),X10)) = add(c,X10)]. % 0.85/1.24 [143=param(62,35),[6,35], % 0.85/1.24 add(X10,inverse(multiply(X10,X11))) = multiplicative_identity]. % 0.85/1.24 [144=demod(35),[143,5], % 0.85/1.24 add(X10,inverse(multiply(X11,X10))) = multiplicative_identity]. % 0.85/1.24 [147=param(34,144),[6], % 0.85/1.24 add(X10,inverse(multiply(X11,inverse(X10)))) = inverse(multiply(X11,inverse(X10)))]. % 0.85/1.24 [151=param(143,29),[21], % 0.85/1.24 add(inverse(X10),add(X10,X11)) = multiplicative_identity]. % 0.85/1.24 [155=param(143,34),[21], % 0.85/1.24 add(inverse(X10),add(X11,X10)) = multiplicative_identity]. % 0.85/1.24 [163=param(143,115),[118], % 0.85/1.24 add(d,b) = multiplicative_identity]. % 0.85/1.24 [164=param(143,133),[118], % 0.85/1.24 add(d,a) = multiplicative_identity]. % 0.85/1.24 [167=param(63,22),[19,22], % 0.85/1.24 multiply(X10,multiply(d,add(X10,inverse(a)))) = multiply(X10,d)]. % 0.85/1.24 [174=param(30,164),[163,5], % 0.85/1.24 add(d,c) = multiplicative_identity]. % 0.85/1.24 [176=param(29,174),[5], % 0.85/1.24 add(d,inverse(c)) = d]. % 0.85/1.24 [197=param(69,143),[5,143], % 0.85/1.24 add(a,inverse(multiply(c,X10))) = multiplicative_identity]. % 0.85/1.24 [265=param(155,118),[], % 0.85/1.24 add(X10,add(X11,inverse(X10))) = multiplicative_identity]. % 0.85/1.24 [276=param(29,265),[5], % 0.85/1.24 add(X10,inverse(add(X11,inverse(X10)))) = X10]. % 0.85/1.24 [321=param(29,151),[5], % 0.85/1.24 add(inverse(X10),inverse(add(X10,X11))) = inverse(X10)]. % 0.85/1.24 [730=param(138,10),[276,6], % 0.85/1.24 add(c,inverse(add(c,inverse(a)))) = a]. % 0.85/1.24 [804=param(147,197),[], % 0.85/1.24 inverse(multiply(c,inverse(a))) = multiplicative_identity]. % 0.85/1.24 [818=param(8,804),[6], % 0.85/1.24 multiply(c,inverse(a)) = additive_identity]. % 0.85/1.24 [867=param(34,730),[321], % 0.85/1.24 inverse(add(c,inverse(a))) = multiply(a,inverse(c))]. % 0.85/1.24 [869=param(118,867),[], % 0.85/1.24 add(c,inverse(a)) = inverse(multiply(a,inverse(c)))]. % 0.85/1.24 [889=demod(119),[869], % 0.85/1.24 multiply(d,inverse(multiply(a,inverse(c)))) = inverse(a)]. % 0.85/1.24 [1041=param(167,869),[889,818,19], % 0.85/1.24 multiply(d,c) = additive_identity]. % 0.85/1.24 [1044=param(16,1041),[3], % 0.85/1.24 multiply(add(d,X10),add(c,X10)) = X10]. % 0.85/1.24 [1125=param(1044,10),[176,6], % 0.85/1.24 inverse(c) = d]. % 0.85/1.24 [1178=param(24,1125),[23], % 0.85/1.24 thmtrue = thmfalse]. % 0.85/1.24 % SZS output end CNFRefutation % 0.85/1.24 Space: 1548 KB %------------------------------------------------------------------------------