%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0. % 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 23:38:51 EDT 2022 % Result : Unsatisfiable 0.78s 1.16s % Output : CNFRefutation 0.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % 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 19:08:56 EDT 2022 % 0.13/0.34 % CPUTime : % 0.78/1.16 Theorem Proved. % 0.78/1.16 % SZS status Unsatisfiable % 0.78/1.16 % SZS output start CNFRefutation % 0.78/1.16 [1=axiom,[], % 0.78/1.16 multiply(X10,X11,inverse(X11)) = X10]. % 0.78/1.16 [3=axiom,[], % 0.78/1.16 multiply(X10,X10,X11) = X10]. % 0.78/1.16 [4=axiom,[], % 0.78/1.16 multiply(X10,X11,X11) = X11]. % 0.78/1.16 [5=axiom,[], % 0.78/1.16 multiply(multiply(X10,X11,X12),X13,multiply(X10,X11,X14)) = multiply(X10,X11,multiply(X12,X13,X14))]. % 0.78/1.16 [6=axiom,[], % 0.78/1.16 thtop(X10,X10) = thmfalse]. % 0.78/1.16 [7=axiom,[5], % 0.78/1.16 thtop(multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)),b) = thmtrue]. % 0.78/1.16 [8=param(5,3),[], % 0.78/1.16 multiply(X10,X11,multiply(X12,multiply(X10,X11,X12),X13)) = multiply(X10,X11,X12)]. % 0.78/1.16 [9=param(5,3),[3,3], % 0.78/1.16 multiply(X10,X11,X10) = X10]. % 0.78/1.16 [11=param(5,4),[], % 0.78/1.16 multiply(X10,X11,multiply(X12,X10,X13)) = multiply(X12,X10,multiply(X10,X11,X13))]. % 0.78/1.16 [12=param(5,4),[], % 0.78/1.16 multiply(multiply(X10,X11,X12),X13,X11) = multiply(X10,X11,multiply(X12,X13,X11))]. % 0.78/1.16 [13=param(5,9),[], % 0.78/1.16 multiply(X10,X11,multiply(X10,X12,X13)) = multiply(X10,X12,multiply(X10,X11,X13))]. % 0.78/1.16 [14=param(5,9),[], % 0.78/1.16 multiply(multiply(X10,X11,X12),X13,X10) = multiply(X10,X11,multiply(X12,X13,X10))]. % 0.78/1.16 [15=param(8,4),[], % 0.78/1.16 multiply(X10,X11,multiply(X10,X11,X12)) = multiply(X10,X11,X12)]. % 0.78/1.16 [16=param(14,1),[9], % 0.78/1.16 multiply(X10,X11,multiply(inverse(X11),X12,X10)) = X10]. % 0.78/1.16 [17=param(14,4),[], % 0.78/1.16 multiply(X12,X10,multiply(X10,X11,X12)) = multiply(X10,X11,X12)]. % 0.78/1.16 [20=param(11,1),[], % 0.78/1.16 multiply(X10,X11,X12) = multiply(X12,X10,multiply(X10,X11,inverse(X10)))]. % 0.78/1.16 [21=param(11,1),[4], % 0.78/1.16 multiply(X10,X11,multiply(X12,X10,inverse(X11))) = X10]. % 0.78/1.16 [22=param(11,4),[], % 0.78/1.16 multiply(X11,X12,multiply(X10,X11,X12)) = multiply(X10,X11,X12)]. % 0.78/1.16 [26=param(22,1),[1], % 0.78/1.16 multiply(X10,inverse(X10),X11) = X11]. % 0.78/1.16 [27=param(8,22),[], % 0.78/1.16 multiply(X10,X11,multiply(X12,X13,multiply(X10,X11,X13))) = multiply(X10,X11,X13)]. % 0.78/1.16 [30=param(12,1),[], % 0.78/1.16 multiply(X10,X11,X12) = multiply(X10,X12,multiply(inverse(X12),X11,X12))]. % 0.78/1.16 [31=param(12,9),[], % 0.78/1.16 multiply(X10,X12,multiply(X10,X11,X12)) = multiply(X10,X11,X12)]. % 0.78/1.16 [33=param(26,1),[], % 0.78/1.16 inverse(inverse(X10)) = X10]. % 0.78/1.16 [37=param(1,33),[], % 0.78/1.16 multiply(X10,inverse(X11),X11) = X10]. % 0.78/1.16 [73=param(20,37),[], % 0.78/1.16 multiply(X10,X11,multiply(X11,inverse(X10),inverse(X11))) = X11]. % 0.78/1.16 [91=param(16,73),[33,14,33], % 0.78/1.16 multiply(X10,X11,multiply(inverse(X10),X11,X10)) = multiply(X10,X11,inverse(X10))]. % 0.78/1.16 [103=param(27,8),[4], % 0.78/1.16 multiply(X12,multiply(X10,X11,X12),X11) = multiply(X10,X11,X12)]. % 0.78/1.16 [104=param(20,103),[37,37], % 0.78/1.16 multiply(X10,X11,X12) = multiply(X11,X12,X10)]. % 0.78/1.16 [116=demod(30),[], % 0.78/1.16 multiply(X10,X11,X12) = multiply(X10,X12,multiply(inverse(X12),X11,X12))]. % 0.78/1.16 [121=demod(91),[], % 0.78/1.16 multiply(X10,X11,multiply(inverse(X10),X11,X10)) = multiply(X10,X11,inverse(X10))]. % 0.78/1.16 [128=param(31,103),[103], % 0.78/1.16 multiply(X10,X11,multiply(X12,X11,X10)) = multiply(X12,X11,X10)]. % 0.78/1.16 [129=demod(121),[128], % 0.78/1.16 multiply(inverse(X10),X11,X10) = multiply(X10,X11,inverse(X10))]. % 0.78/1.16 [133=demod(116),[129], % 0.78/1.16 multiply(X10,X11,X12) = multiply(X10,X12,multiply(X12,X11,inverse(X12)))]. % 0.78/1.16 [135=demod(129),[], % 0.78/1.16 multiply(inverse(X10),X11,X10) = multiply(X10,X11,inverse(X10))]. % 0.78/1.16 [147=param(22,135),[21,135], % 0.78/1.16 multiply(X11,X10,inverse(X11)) = X10]. % 0.78/1.16 [153=demod(133),[147], % 0.78/1.16 multiply(X10,X11,X12) = multiply(X10,X12,X11)]. % 0.78/1.16 [154=demod(37),[], % 0.78/1.16 multiply(X10,inverse(X11),X11) = X10]. % 0.78/1.16 [194=param(153,13),[], % 0.78/1.16 multiply(X10,multiply(X10,X11,X12),X13) = multiply(X10,X11,multiply(X10,X13,X12))]. % 0.78/1.16 [199=param(17,153),[], % 0.78/1.16 multiply(X10,X11,multiply(X11,X10,X12)) = multiply(X11,X12,X10)]. % 0.78/1.16 [221=param(104,11),[], % 0.78/1.16 multiply(X10,multiply(X10,X11,X12),X13) = multiply(X10,X11,multiply(X13,X10,X12))]. % 0.78/1.16 [252=param(7,104),[26,-199,-221,194,15], % 0.78/1.16 thtop(multiply(b,inverse(multiply(c,d,multiply(g,e,f))),multiply(d,multiply(e,g,f),c)),b) = thmtrue]. % 0.78/1.16 [266=param(31,104),[], % 0.78/1.16 multiply(X10,X11,multiply(X11,X10,X12)) = multiply(X10,X12,X11)]. % 0.78/1.16 [289=param(252,153),[-266,11,-221,194,15], % 0.78/1.16 thtop(multiply(b,inverse(multiply(c,d,multiply(g,e,f))),multiply(d,multiply(g,e,f),c)),b) = thmtrue]. % 0.78/1.16 [290=param(289,104),[154,6], % 0.78/1.16 thmtrue = thmfalse]. % 0.78/1.16 % SZS output end CNFRefutation % 0.78/1.16 Space: 218 KB %------------------------------------------------------------------------------