%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP175-4 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n018.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 : Sat Jul 16 09:13:06 EDT 2022 % Result : Unsatisfiable 0.89s 1.24s % Output : CNFRefutation 0.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP175-4 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jun 13 05:05:42 EDT 2022 % 0.13/0.33 % CPUTime : % 0.89/1.24 Theorem Proved. % 0.89/1.24 % SZS status Unsatisfiable % 0.89/1.24 % SZS output start CNFRefutation % 0.89/1.24 [1=axiom,[], % 0.89/1.24 greatest_lower_bound(identity,b) = identity]. % 0.89/1.24 [2=axiom,[], % 0.89/1.24 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.89/1.24 [4=axiom,[], % 0.89/1.24 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.89/1.24 [7=axiom,[], % 0.89/1.24 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 0.89/1.24 [12=axiom,[], % 0.89/1.24 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.89/1.24 [13=axiom,[], % 0.89/1.24 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 0.89/1.24 [14=demod(1),[13], % 0.89/1.24 greatest_lower_bound(b,identity) = identity]. % 0.89/1.24 [15=axiom,[], % 0.89/1.24 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.89/1.24 [16=axiom,[], % 0.89/1.24 multiply(inverse(X10),X10) = identity]. % 0.89/1.24 [17=axiom,[], % 0.89/1.24 multiply(identity,X10) = X10]. % 0.89/1.24 [18=axiom,[], % 0.89/1.24 thtop(X10,X10) = thmfalse]. % 0.89/1.24 [19=axiom,[], % 0.89/1.24 thtop(least_upper_bound(identity,multiply(inverse(a),multiply(b,a))),multiply(inverse(a),multiply(b,a))) = thmtrue]. % 0.89/1.24 [20=param(2,14),[17,17,13], % 0.89/1.24 greatest_lower_bound(X10,multiply(b,X10)) = X10]. % 0.89/1.24 [24=param(4,20),[], % 0.89/1.24 greatest_lower_bound(multiply(X10,X11),multiply(X10,multiply(b,X11))) = multiply(X10,X11)]. % 0.89/1.24 [30=param(7,13),[], % 0.89/1.24 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 0.89/1.24 [63=param(15,16),[17], % 0.89/1.24 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.89/1.24 [77=param(63,15),[], % 0.89/1.24 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X11,X12))) = X12]. % 0.89/1.24 [78=param(63,16),[], % 0.89/1.24 multiply(inverse(inverse(X10)),identity) = X10]. % 0.89/1.24 [81=param(63,63),[], % 0.89/1.24 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.89/1.24 [82=demod(78),[81], % 0.89/1.24 multiply(X10,identity) = X10]. % 0.89/1.24 [94=param(24,16),[16], % 0.89/1.24 greatest_lower_bound(identity,multiply(inverse(X10),multiply(b,X10))) = identity]. % 0.89/1.24 [140=param(81,16),[], % 0.89/1.24 multiply(X10,inverse(X10)) = identity]. % 0.89/1.24 [141=param(81,63),[], % 0.89/1.24 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.89/1.24 [142=param(81,82),[82], % 0.89/1.24 inverse(inverse(X10)) = X10]. % 0.89/1.24 [546=param(77,140),[82], % 0.89/1.24 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.89/1.24 [569=param(546,141),[], % 0.89/1.24 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 0.89/1.24 [596=param(30,94),[12], % 0.89/1.24 least_upper_bound(identity,multiply(inverse(X10),multiply(b,X10))) = multiply(inverse(X10),multiply(b,X10))]. % 0.89/1.24 [1348=param(19,569),[569,142,596,18], % 0.89/1.24 thmtrue = thmfalse]. % 0.89/1.24 % SZS output end CNFRefutation % 0.89/1.24 Space: 1412 KB %------------------------------------------------------------------------------