%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n005.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 09:15:40 EDT 2022 % Result : Unsatisfiable 1.57s 1.94s % Output : CNFRefutation 1.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0. % 0.09/0.14 % Command : fiesta-wrapper %s % 0.15/0.36 % Computer : n005.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Tue Jun 14 09:34:54 EDT 2022 % 0.15/0.36 % CPUTime : % 1.57/1.94 Theorem Proved. % 1.57/1.94 % SZS status Unsatisfiable % 1.57/1.94 % SZS output start CNFRefutation % 1.57/1.94 [1=axiom,[], % 1.57/1.94 mult(mult(X10,X11),X12) = mult(mult(X10,X12),mult(X11,ld(X12,X12)))]. % 1.57/1.94 [2=axiom,[], % 1.57/1.94 mult(mult(rd(X10,X10),X11),mult(X10,X12)) = mult(X10,mult(X11,X12))]. % 1.57/1.94 [3=axiom,[], % 1.57/1.94 rd(mult(X10,X11),X11) = X10]. % 1.57/1.94 [4=axiom,[], % 1.57/1.94 mult(rd(X10,X11),X11) = X10]. % 1.57/1.94 [5=axiom,[], % 1.57/1.94 ld(X10,mult(X10,X11)) = X11]. % 1.57/1.94 [6=axiom,[], % 1.57/1.94 mult(X10,ld(X10,X11)) = X11]. % 1.57/1.94 [7=axiom,[], % 1.57/1.94 thtop(X10,X10) = thmfalse]. % 1.57/1.94 [8=axiom,[], % 1.57/1.94 thtop(mult(mult(a,a),mult(b,c)),mult(mult(a,b),mult(a,c))) = thmtrue]. % 1.57/1.94 [12=param(1,6),[], % 1.57/1.94 mult(mult(X12,X11),mult(ld(X12,X10),ld(X11,X11))) = mult(X10,X11)]. % 1.57/1.94 [13=param(1,4),[], % 1.57/1.94 mult(X10,mult(X11,ld(X12,X12))) = mult(mult(rd(X10,X12),X11),X12)]. % 1.57/1.94 [14=param(5,1),[], % 1.57/1.94 ld(mult(X10,X11),mult(mult(X10,X12),X11)) = mult(X12,ld(X11,X11))]. % 1.57/1.94 [17=param(3,6),[], % 1.57/1.94 rd(X10,ld(X11,X10)) = X11]. % 1.57/1.94 [21=param(2,6),[], % 1.57/1.94 mult(mult(rd(X10,X10),X11),X12) = mult(X10,mult(X11,ld(X10,X12)))]. % 1.57/1.94 [30=param(14,6),[], % 1.57/1.94 ld(mult(X10,X11),mult(X12,X11)) = mult(ld(X10,X12),ld(X11,X11))]. % 1.57/1.94 [31=param(30,4),[], % 1.57/1.94 mult(ld(rd(X10,X12),X11),ld(X12,X12)) = ld(X10,mult(X11,X12))]. % 1.57/1.94 [32=param(30,4),[], % 1.57/1.94 ld(mult(X10,X11),X12) = mult(ld(X10,rd(X12,X11)),ld(X11,X11))]. % 1.57/1.94 [39=param(3,31),[], % 1.57/1.94 ld(rd(X10,X12),X11) = rd(ld(X10,mult(X11,X12)),ld(X12,X12))]. % 1.57/1.94 [50=param(6,39),[], % 1.57/1.94 mult(rd(X10,X11),rd(ld(X10,mult(X12,X11)),ld(X11,X11))) = X12]. % 1.57/1.94 [54=param(50,4),[], % 1.57/1.94 mult(rd(X10,X11),rd(ld(X10,X12),ld(X11,X11))) = rd(X12,X11)]. % 1.57/1.94 [56=param(54,5),[], % 1.57/1.94 mult(rd(X10,X11),rd(X12,ld(X11,X11))) = rd(mult(X10,X12),X11)]. % 1.57/1.94 [64=param(5,21),[], % 1.57/1.94 ld(X10,mult(mult(rd(X10,X10),X11),X12)) = mult(X11,ld(X10,X12))]. % 1.57/1.94 [65=param(64,1),[64], % 1.57/1.94 mult(X10,ld(X11,mult(X12,ld(X10,X10)))) = mult(X12,ld(X11,X10))]. % 1.57/1.94 [67=param(65,4),[], % 1.57/1.94 mult(X10,ld(X11,X12)) = mult(rd(X12,ld(X10,X10)),ld(X11,X10))]. % 1.57/1.94 [84=param(67,5),[], % 1.57/1.94 mult(rd(mult(X12,X11),ld(X10,X10)),ld(X12,X10)) = mult(X10,X11)]. % 1.57/1.94 [87=param(3,84),[], % 1.57/1.94 rd(mult(X10,X11),ld(X12,X10)) = rd(mult(X12,X11),ld(X10,X10))]. % 1.57/1.94 [99=param(4,87),[], % 1.57/1.94 mult(rd(mult(X10,X11),ld(X12,X10)),ld(X10,X10)) = mult(X12,X11)]. % 1.57/1.94 [100=param(99,6),[], % 1.57/1.94 mult(rd(X10,ld(X11,X12)),ld(X12,X12)) = mult(X11,ld(X12,X10))]. % 1.57/1.94 [101=param(3,100),[], % 1.57/1.94 rd(mult(rd(X10,ld(X11,X12)),ld(X12,X12)),ld(X12,X10)) = X11]. % 1.57/1.94 [104=param(100,101),[67,3], % 1.57/1.94 mult(X10,ld(X11,X11)) = mult(rd(X11,ld(X10,X12)),ld(X11,X12))]. % 1.57/1.94 [109=param(104,5),[], % 1.57/1.94 mult(rd(X10,X11),ld(X10,mult(X12,X11))) = mult(X12,ld(X10,X10))]. % 1.57/1.94 [121=param(3,109),[], % 1.57/1.94 rd(mult(X10,ld(X11,X11)),ld(X11,mult(X10,X12))) = rd(X11,X12)]. % 1.57/1.94 [123=param(121,4),[], % 1.57/1.94 rd(mult(rd(X10,X11),ld(X12,X12)),ld(X12,X10)) = rd(X12,X11)]. % 1.57/1.94 [124=param(4,123),[], % 1.57/1.94 mult(rd(X10,X11),ld(X10,X12)) = mult(rd(X12,X11),ld(X10,X10))]. % 1.57/1.94 [131=param(8,1),[32,3], % 1.57/1.94 thtop(mult(mult(a,a),mult(b,c)),mult(mult(a,mult(a,c)),mult(b,mult(ld(a,a),ld(c,c))))) = thmtrue]. % 1.57/1.94 [132=param(131,13),[-124,1,4], % 1.57/1.94 thtop(mult(mult(a,a),mult(b,c)),mult(mult(a,mult(a,c)),mult(a,mult(ld(a,b),ld(c,c))))) = thmtrue]. % 1.57/1.94 [153=param(2,56),[], % 1.57/1.94 mult(rd(mult(X10,X11),X10),mult(X10,X12)) = mult(X10,mult(rd(X11,ld(X10,X10)),X12))]. % 1.57/1.94 [154=param(56,17),[], % 1.57/1.94 mult(X10,rd(X11,ld(ld(X10,X12),ld(X10,X12)))) = rd(mult(X12,X11),ld(X10,X12))]. % 1.57/1.94 [746=param(153,6),[39,154,67,3,56], % 1.57/1.94 rd(mult(mult(X10,X12),mult(X11,ld(X12,X10))),X10) = mult(X10,X11)]. % 1.57/1.94 [753=param(746,4),[], % 1.57/1.94 rd(mult(mult(X10,X11),X12),X10) = mult(X10,rd(X12,ld(X11,X10)))]. % 1.57/1.94 [930=param(4,753),[], % 1.57/1.94 mult(mult(X10,rd(X11,ld(X12,X10))),X10) = mult(mult(X10,X12),X11)]. % 1.57/1.94 [941=param(3,753),[], % 1.57/1.94 rd(rd(mult(mult(X10,X11),X12),X10),rd(X12,ld(X11,X10))) = X10]. % 1.57/1.94 [958=param(930,87),[1,4], % 1.57/1.94 mult(mult(X10,X10),mult(X11,X12)) = mult(mult(X10,X11),mult(X10,X12))]. % 1.57/1.94 [974=param(941,6),[], % 1.57/1.94 rd(rd(mult(X10,X11),X12),rd(X11,ld(ld(X12,X10),X12))) = X12]. % 1.57/1.94 [987=param(974,6),[], % 1.57/1.94 rd(rd(X10,X11),rd(ld(X12,X10),ld(ld(X11,X12),X11))) = X11]. % 1.57/1.94 [1025=param(4,987),[], % 1.57/1.94 mult(X10,rd(ld(X11,X12),ld(ld(X10,X11),X10))) = rd(X12,X10)]. % 1.57/1.94 [1026=param(5,1025),[], % 1.57/1.94 ld(X10,rd(X11,X10)) = rd(ld(X12,X11),ld(ld(X10,X12),X10))]. % 1.57/1.94 [1030=param(4,1026),[], % 1.57/1.94 mult(ld(X10,rd(X11,X10)),ld(ld(X10,X12),X10)) = ld(X12,X11)]. % 1.57/1.94 [1039=param(132,1030),[958,1030,-958,12,958,7], % 1.57/1.94 thmtrue = thmfalse]. % 1.57/1.94 % SZS output end CNFRefutation % 1.57/1.94 Space: 2315 KB %------------------------------------------------------------------------------