0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_SATResetCoP /export/starexec/sandbox2/benchmark/theBenchmark.p 180 0.09/0.35 % Computer : n022.cluster.edu 0.09/0.35 % Model : x86_64 x86_64 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.35 % Memory : 8046.5625MB 0.09/0.35 % OS : Linux 6.8.0-71-generic 0.09/0.35 % CPULimit : 1440 0.09/0.35 % WCLimit : 180 0.09/0.35 % DateTime : Mon Jul 27 09:23:30 UTC 2026 0.09/0.35 % CPUTime : 0.09/0.35 Running run_SATResetCoP /export/starexec/sandbox2/benchmark/theBenchmark.p 180 9.04/9.37 % SZS status Unsatisfiable for theBenchmark 9.04/9.37 % SZS output start CNFRefutation for theBenchmark 9.04/9.37 fof(satresetcop_input_1,axiom, 9.04/9.37 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59), 9.04/9.37 file('theBenchmark.p','ass(cond(43, 0), 0)')). 9.04/9.37 fof(satresetcop_input_2,axiom, 9.04/9.37 ! [Vd120,Vd121] : 9.04/9.37 ( Vd120 != Vd121 9.04/9.37 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(88), 0), 1)')). 9.04/9.37 fof(satresetcop_input_3,axiom, 9.04/9.37 ! [Vd16] : Vd16 != vsucc(Vd16), 9.04/9.37 file('theBenchmark.p','ass(cond(12, 0), 0)')). 9.04/9.37 fof(satresetcop_input_4,axiom, 9.04/9.37 greater(vmul(vd486,vd487),vmul(vd488,vd487)), 9.04/9.37 file('theBenchmark.p','holds(antec(307), 489, 0)')). 9.04/9.37 fof(satresetcop_input_5,axiom, 9.04/9.37 ! [Vd68,Vd69] : vsucc(vplus(Vd68,Vd69)) = vplus(vsucc(Vd68),Vd69), 9.04/9.37 file('theBenchmark.p','ass(cond(52, 0), 0)')). 9.04/9.37 fof(satresetcop_input_6,axiom, 9.04/9.37 ! [Vd120,Vd121] : 9.04/9.37 ( Vd121 = Vd120 9.04/9.37 | ? [Vd125] : vplus(Vd120,Vd125) = Vd121 9.04/9.37 | ? [Vd123] : vplus(Vd121,Vd123) = Vd120 ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(88), 0), 0)')). 9.04/9.37 fof(satresetcop_input_7,axiom, 9.04/9.37 ! [Vd369] : geq(Vd369,v1), 9.04/9.37 file('theBenchmark.p','ass(cond(228, 0), 0)')). 9.04/9.37 fof(satresetcop_input_8,conjecture, 9.04/9.37 greater(vd486,vd488), 9.04/9.37 file('theBenchmark.p','holds(conseq(307), 490, 0)')). 9.04/9.37 fof(satresetcop_negated_conjecture_8,negated_conjecture, 9.04/9.37 ~ (greater(vd486,vd488)), 9.04/9.37 inference(negate,[status(cth)],[satresetcop_input_8])). 9.04/9.37 fof(satresetcop_input_9,axiom, 9.04/9.37 ! [Vd362,Vd363,Vd365,Vd366] : 9.04/9.37 ( ( geq(Vd362,Vd363) 9.04/9.37 & geq(Vd365,Vd366) ) 9.04/9.37 => geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366)) ), 9.04/9.37 file('theBenchmark.p','ass(cond(223, 0), 0)')). 9.04/9.37 fof(satresetcop_input_10,axiom, 9.04/9.37 ! [Vd203,Vd204] : 9.04/9.37 ( ~ greater(Vd203,Vd204) 9.04/9.37 | ~ less(Vd203,Vd204) ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(130), 0), 2)')). 9.04/9.37 fof(satresetcop_input_11,axiom, 9.04/9.37 ! [Vd456,Vd461,Vd462] : 9.04/9.37 ( Vd461 = Vd462 9.04/9.37 => vmul(Vd462,Vd456) = vmul(Vd461,Vd456) ), 9.04/9.37 file('theBenchmark.p','ass(cond(299, 0), 1)')). 9.04/9.37 fof(satresetcop_input_12,axiom, 9.04/9.37 ! [Vd24] : 9.04/9.37 ( v1 != Vd24 9.04/9.37 => Vd24 = vsucc(vskolem2(Vd24)) ), 9.04/9.37 file('theBenchmark.p','ass(cond(20, 0), 0)')). 9.04/9.37 fof(satresetcop_input_13,axiom, 9.04/9.37 ! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)), 9.04/9.37 file('theBenchmark.p','ass(cond(281, 0), 0)')). 9.04/9.37 fof(satresetcop_input_14,axiom, 9.04/9.37 ! [Vd7,Vd8] : 9.04/9.37 ( Vd7 != Vd8 9.04/9.37 => vsucc(Vd7) != vsucc(Vd8) ), 9.04/9.37 file('theBenchmark.p','ass(cond(6, 0), 0)')). 9.04/9.37 fof(satresetcop_input_15,axiom, 9.04/9.37 ! [Vd203,Vd204] : 9.04/9.37 ( ~ greater(Vd203,Vd204) 9.04/9.37 | Vd203 != Vd204 ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(130), 0), 3)')). 9.04/9.37 fof(satresetcop_input_16,axiom, 9.04/9.37 ! [Vd408,Vd409] : vplus(vmul(Vd408,Vd409),Vd409) = vmul(vsucc(Vd408),Vd409), 9.04/9.37 file('theBenchmark.p','ass(cond(261, 0), 0)')). 9.04/9.37 fof(satresetcop_input_17,axiom, 9.04/9.37 ! [Vd203,Vd204] : 9.04/9.37 ( Vd204 = Vd203 9.04/9.37 | less(Vd203,Vd204) 9.04/9.37 | greater(Vd203,Vd204) ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(130), 0), 0)')). 9.04/9.37 fof(satresetcop_input_18,axiom, 9.04/9.37 ! [Vd203,Vd204] : 9.04/9.37 ( ~ less(Vd203,Vd204) 9.04/9.37 | Vd203 != Vd204 ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(130), 0), 1)')). 9.04/9.37 fof(satresetcop_input_19,axiom, 9.04/9.37 ! [Vd456,Vd457,Vd458] : 9.04/9.37 ( greater(Vd457,Vd458) 9.04/9.37 => greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ), 9.04/9.37 file('theBenchmark.p','ass(cond(299, 0), 2)')). 9.04/9.37 fof(satresetcop_input_20,axiom, 9.04/9.37 ! [Vd208,Vd209] : 9.04/9.37 ( greater(Vd208,Vd209) 9.04/9.37 => less(Vd209,Vd208) ), 9.04/9.37 file('theBenchmark.p','ass(cond(140, 0), 0)')). 9.04/9.37 fof(satresetcop_input_21,axiom, 9.04/9.37 ! [Vd92,Vd93] : vplus(Vd92,Vd93) != Vd93, 9.04/9.37 file('theBenchmark.p','ass(cond(73, 0), 0)')). 9.04/9.37 fof(satresetcop_input_22,axiom, 9.04/9.37 ! [Vd456,Vd465,Vd466] : 9.04/9.37 ( less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) 9.04/9.37 <= less(Vd465,Vd466) ), 9.04/9.37 file('theBenchmark.p','ass(cond(299, 0), 0)')). 9.04/9.37 fof(satresetcop_input_23,axiom, 9.04/9.37 ! [Vd42,Vd43] : 9.04/9.37 ( vsucc(vplus(Vd42,Vd43)) = vplus(Vd42,vsucc(Vd43)) 9.04/9.37 & vplus(Vd42,v1) = vsucc(Vd42) ), 9.04/9.37 file('theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))')). 9.04/9.37 fof(satresetcop_input_24,axiom, 9.04/9.37 ! [Vd386,Vd387] : 9.04/9.37 ( less(Vd386,vplus(Vd387,v1)) 9.04/9.37 => leq(Vd386,Vd387) ), 9.04/9.37 file('theBenchmark.p','ass(cond(241, 0), 0)')). 9.04/9.37 fof(satresetcop_input_25,axiom, 9.04/9.37 ! [Vd400] : Vd400 = vmul(v1,Vd400), 9.04/9.37 file('theBenchmark.p','ass(cond(253, 0), 0)')). 9.04/9.37 fof(satresetcop_input_26,axiom, 9.04/9.37 ! [Vd396,Vd397] : 9.04/9.37 ( Vd396 = vmul(Vd396,v1) 9.04/9.37 & vplus(vmul(Vd396,Vd397),Vd396) = vmul(Vd396,vsucc(Vd397)) ), 9.04/9.37 file('theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')). 9.04/9.37 fof(satresetcop_input_27,axiom, 9.04/9.37 ! [Vd120,Vd121] : 9.04/9.37 ( ~ ? [Vd125] : vplus(Vd120,Vd125) = Vd121 9.04/9.37 | ~ ? [Vd123] : vplus(Vd121,Vd123) = Vd120 ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(88), 0), 2)')). 9.04/9.37 fof(satresetcop_input_28,axiom, 9.04/9.37 ! [Vd375,Vd376] : 9.04/9.37 ( greater(Vd375,Vd376) 9.04/9.37 => geq(Vd375,vplus(Vd376,v1)) ), 9.04/9.37 file('theBenchmark.p','ass(cond(234, 0), 0)')). 9.04/9.37 fof(satresetcop_input_29,axiom, 9.04/9.37 ! [Vd120,Vd121] : 9.04/9.37 ( Vd120 != Vd121 9.04/9.37 | ~ ? [Vd123] : vplus(Vd121,Vd123) = Vd120 ), 9.04/9.37 file('theBenchmark.p','ass(cond(goal(88), 0), 3)')). 9.04/9.37 fof(satresetcop_input_30,axiom, 9.04/9.37 ! [Vd193,Vd194] : 9.04/9.37 ( greater(Vd194,Vd193) 9.04/9.37 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ), 9.04/9.37 file('theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)')). 9.04/9.37 fof(satresetcop_input_31,axiom, 9.04/9.37 ! [Vd104,Vd105] : 9.04/9.37 ( Vd105 != Vd104 9.04/9.37 => ! [Vd107] : vplus(Vd107,Vd105) != vplus(Vd107,Vd104) ), 9.04/9.37 file('theBenchmark.p','ass(cond(81, 0), 0)')). 9.04/9.37 fof(satresetcop_input_32,axiom, 9.04/9.37 ! [Vd226,Vd227] : 9.04/9.37 ( less(Vd226,Vd227) 9.04/9.37 => greater(Vd227,Vd226) ), 9.04/9.37 file('theBenchmark.p','ass(cond(147, 0), 0)')). 9.04/9.37 fof(satresetcop_input_33,axiom, 9.04/9.37 ! [Vd198,Vd199] : 9.04/9.37 ( ? [Vd201] : Vd198 = vplus(Vd199,Vd201) 9.04/9.37 <=> less(Vd199,Vd198) ), 9.04/9.37 file('theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)')). 9.04/9.37 fof(satresetcop_input_34,axiom, 9.04/9.37 ! [Vd418,Vd419] : vmul(Vd419,Vd418) = vmul(Vd418,Vd419), 9.04/9.37 file('theBenchmark.p','ass(cond(270, 0), 0)')). 9.04/9.37 fof(satresetcop_input_35,axiom, 9.04/9.37 ! [Vd46,Vd47,Vd48] : vplus(Vd46,vplus(Vd47,Vd48)) = vplus(vplus(Vd46,Vd47),Vd48), 9.04/9.37 file('theBenchmark.p','ass(cond(33, 0), 0)')). 9.04/9.37 fof(satresetcop_input_36,axiom, 9.04/9.37 ! [Vd444,Vd445,Vd446] : vmul(vmul(Vd444,Vd445),Vd446) = vmul(Vd444,vmul(Vd445,Vd446)), 9.04/9.37 file('theBenchmark.p','ass(cond(290, 0), 0)')). 9.04/9.37 fof(satresetcop_input_37,axiom, 9.04/9.37 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79), 9.04/9.37 file('theBenchmark.p','ass(cond(61, 0), 0)')). 9.04/9.37 fof(satresetcop_premises,plain, 9.04/9.37 ( (! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59)) 9.04/9.37 & (! [Vd120,Vd121] : 9.04/9.37 ( Vd120 != Vd121 9.04/9.37 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) )) 9.04/9.37 & (! [Vd16] : Vd16 != vsucc(Vd16)) 9.04/9.37 & (greater(vmul(vd486,vd487),vmul(vd488,vd487))) 9.04/9.37 & (! [Vd68,Vd69] : vsucc(vplus(Vd68,Vd69)) = vplus(vsucc(Vd68),Vd69)) 9.04/9.37 & (! [Vd120,Vd121] : 9.04/9.37 ( Vd121 = Vd120 9.04/9.37 | ? [Vd125] : vplus(Vd120,Vd125) = Vd121 9.04/9.37 | ? [Vd123] : vplus(Vd121,Vd123) = Vd120 )) 9.04/9.37 & (! [Vd369] : geq(Vd369,v1)) 9.04/9.37 & (~ (greater(vd486,vd488))) 9.04/9.37 & (! [Vd362,Vd363,Vd365,Vd366] : 9.04/9.37 ( ( geq(Vd362,Vd363) 9.04/9.37 & geq(Vd365,Vd366) ) 9.04/9.37 => geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366)) )) 9.04/9.37 & (! [Vd203,Vd204] : 9.04/9.37 ( ~ greater(Vd203,Vd204) 9.04/9.37 | ~ less(Vd203,Vd204) )) 9.04/9.37 & (! [Vd456,Vd461,Vd462] : 9.04/9.37 ( Vd461 = Vd462 9.04/9.37 => vmul(Vd462,Vd456) = vmul(Vd461,Vd456) )) 9.04/9.37 & (! [Vd24] : 9.04/9.37 ( v1 != Vd24 9.04/9.37 => Vd24 = vsucc(vskolem2(Vd24)) )) 9.04/9.37 & (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434))) 9.04/9.37 & (! [Vd7,Vd8] : 9.04/9.37 ( Vd7 != Vd8 9.04/9.37 => vsucc(Vd7) != vsucc(Vd8) )) 9.04/9.37 & (! [Vd203,Vd204] : 9.04/9.37 ( ~ greater(Vd203,Vd204) 9.04/9.37 | Vd203 != Vd204 )) 9.04/9.37 & (! [Vd408,Vd409] : vplus(vmul(Vd408,Vd409),Vd409) = vmul(vsucc(Vd408),Vd409)) 9.04/9.37 & (! [Vd203,Vd204] : 9.04/9.37 ( Vd204 = Vd203 9.04/9.37 | less(Vd203,Vd204) 9.04/9.37 | greater(Vd203,Vd204) )) 9.04/9.37 & (! [Vd203,Vd204] : 9.04/9.37 ( ~ less(Vd203,Vd204) 9.04/9.37 | Vd203 != Vd204 )) 9.04/9.37 & (! [Vd456,Vd457,Vd458] : 9.04/9.37 ( greater(Vd457,Vd458) 9.04/9.37 => greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) )) 9.04/9.37 & (! [Vd208,Vd209] : 9.04/9.37 ( greater(Vd208,Vd209) 9.04/9.37 => less(Vd209,Vd208) )) 9.04/9.37 & (! [Vd92,Vd93] : vplus(Vd92,Vd93) != Vd93) 9.04/9.37 & (! [Vd456,Vd465,Vd466] : 9.04/9.37 ( less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) 9.04/9.37 <= less(Vd465,Vd466) )) 9.04/9.37 & (! [Vd42,Vd43] : 9.04/9.37 ( vsucc(vplus(Vd42,Vd43)) = vplus(Vd42,vsucc(Vd43)) 9.04/9.37 & vplus(Vd42,v1) = vsucc(Vd42) )) 9.04/9.37 & (! [Vd386,Vd387] : 9.04/9.37 ( less(Vd386,vplus(Vd387,v1)) 9.04/9.37 => leq(Vd386,Vd387) )) 9.04/9.37 & (! [Vd400] : Vd400 = vmul(v1,Vd400)) 9.04/9.37 & (! [Vd396,Vd397] : 9.04/9.37 ( Vd396 = vmul(Vd396,v1) 9.04/9.37 & vplus(vmul(Vd396,Vd397),Vd396) = vmul(Vd396,vsucc(Vd397)) )) 9.04/9.37 & (! [Vd120,Vd121] : 9.04/9.37 ( ~ ? [Vd125] : vplus(Vd120,Vd125) = Vd121 9.04/9.37 | ~ ? [Vd123] : vplus(Vd121,Vd123) = Vd120 )) 9.04/9.37 & (! [Vd375,Vd376] : 9.04/9.37 ( greater(Vd375,Vd376) 9.04/9.37 => geq(Vd375,vplus(Vd376,v1)) )) 9.04/9.37 & (! [Vd120,Vd121] : 9.04/9.37 ( Vd120 != Vd121 9.04/9.37 | ~ ? [Vd123] : vplus(Vd121,Vd123) = Vd120 )) 9.04/9.37 & (! [Vd193,Vd194] : 9.04/9.37 ( greater(Vd194,Vd193) 9.04/9.37 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) )) 9.04/9.37 & (! [Vd104,Vd105] : 9.04/9.37 ( Vd105 != Vd104 9.04/9.37 => ! [Vd107] : vplus(Vd107,Vd105) != vplus(Vd107,Vd104) )) 9.04/9.37 & (! [Vd226,Vd227] : 9.04/9.37 ( less(Vd226,Vd227) 9.04/9.37 => greater(Vd227,Vd226) )) 9.04/9.37 & (! [Vd198,Vd199] : 9.04/9.37 ( ? [Vd201] : Vd198 = vplus(Vd199,Vd201) 9.04/9.37 <=> less(Vd199,Vd198) )) 9.04/9.37 & (! [Vd418,Vd419] : vmul(Vd419,Vd418) = vmul(Vd418,Vd419)) 9.04/9.37 & (! [Vd46,Vd47,Vd48] : vplus(Vd46,vplus(Vd47,Vd48)) = vplus(vplus(Vd46,Vd47),Vd48)) 9.04/9.37 & (! [Vd444,Vd445,Vd446] : vmul(vmul(Vd444,Vd445),Vd446) = vmul(Vd444,vmul(Vd445,Vd446))) 9.04/9.37 & (! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79)) ), 9.04/9.37 inference(conjoin,[status(thm)],[satresetcop_input_1,satresetcop_input_2,satresetcop_input_3,satresetcop_input_4,satresetcop_input_5,satresetcop_input_6,satresetcop_input_7,satresetcop_negated_conjecture_8,satresetcop_input_9,satresetcop_input_10,satresetcop_input_11,satresetcop_input_12,satresetcop_input_13,satresetcop_input_14,satresetcop_input_15,satresetcop_input_16,satresetcop_input_17,satresetcop_input_18,satresetcop_input_19,satresetcop_input_20,satresetcop_input_21,satresetcop_input_22,satresetcop_input_23,satresetcop_input_24,satresetcop_input_25,satresetcop_input_26,satresetcop_input_27,satresetcop_input_28,satresetcop_input_29,satresetcop_input_30,satresetcop_input_31,satresetcop_input_32,satresetcop_input_33,satresetcop_input_34,satresetcop_input_35,satresetcop_input_36,satresetcop_input_37])). 9.04/9.37 fof(satresetcop_cnf_matrix,plain, 9.04/9.37 ! [X1,X2,X3,X4] : 9.04/9.37 ( (( ~ greater(vd486,vd488) )) 9.04/9.37 & (( ~ equal___(X1,X2) | equal___(vskolem2(X1),vskolem2(X2)) )) 9.04/9.37 & (( ~ equal___(X1,X2) | equal___(vsucc(X1),vsucc(X2)) )) 9.04/9.37 & (( equal___(vmul(X1,X2),vmul(X3,X4)) | ~ equal___(X1,X3) | ~ equal___(X2,X4) )) 9.04/9.37 & (( equal___(vplus(X1,X2),vplus(X3,X4)) | ~ equal___(X1,X3) | ~ equal___(X2,X4) )) 9.04/9.37 & (( equal___(X1,X1) )) 9.04/9.37 & (( ~ equal___(X1,X2) | equal___(X2,X1) )) 9.04/9.37 & (( equal___(X1,X2) | ~ equal___(X1,X3) | ~ equal___(X3,X2) )) 9.04/9.37 & (( leq(X1,X2) | ~ leq(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) )) 9.04/9.37 & (( geq(X1,X2) | ~ geq(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) )) 9.04/9.37 & (( less(X1,X2) | ~ less(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) )) 9.04/9.37 & (( greater(X1,X2) | ~ greater(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) )) 9.04/9.37 & (( equal___(vplus(v1,X1),vsucc(X1)) )) 9.04/9.37 & (( ~ equal___(X1,X2) | ~ equal___(X2,vplus(X1,X3)) )) 9.04/9.37 & (( ~ equal___(X1,vsucc(X1)) )) 9.04/9.37 & (( greater(vmul(vd486,vd487),vmul(vd488,vd487)) )) 9.04/9.37 & (( equal___(vsucc(vplus(X1,X2)),vplus(vsucc(X1),X2)) )) 9.04/9.37 & (( equal___(X1,X2) | equal___(vplus(X2,f_skolem_1(X1,X2)),X1) | equal___(vplus(X1,f_skolem_2(X1,X2)),X2) )) 9.04/9.37 & (( geq(X1,v1) )) 9.04/9.37 & (( geq(vplus(X1,X2),vplus(X3,X4)) | ~ geq(X1,X3) | ~ geq(X2,X4) )) 9.04/9.37 & (( ~ greater(X1,X2) | ~ less(X1,X2) )) 9.04/9.37 & (( ~ equal___(X1,X2) | equal___(vmul(X2,X3),vmul(X1,X3)) )) 9.04/9.37 & (( equal___(v1,X1) | equal___(X1,vsucc(vskolem2(X1))) )) 9.04/9.37 & (( equal___(vmul(X1,vplus(X2,X3)),vplus(vmul(X1,X2),vmul(X1,X3))) )) 9.04/9.37 & (( equal___(X1,X2) | ~ equal___(vsucc(X1),vsucc(X2)) )) 9.04/9.37 & (( ~ greater(X1,X2) | ~ equal___(X1,X2) )) 9.04/9.37 & (( equal___(vplus(vmul(X1,X2),X2),vmul(vsucc(X1),X2)) )) 9.04/9.37 & (( equal___(X1,X2) | less(X2,X1) | greater(X2,X1) )) 9.04/9.37 & (( ~ less(X1,X2) | ~ equal___(X1,X2) )) 9.04/9.37 & (( ~ greater(X1,X2) | greater(vmul(X1,X3),vmul(X2,X3)) )) 9.04/9.37 & (( ~ greater(X1,X2) | less(X2,X1) )) 9.04/9.37 & (( ~ equal___(vplus(X1,X2),X2) )) 9.04/9.37 & (( ~ less(X1,X2) | less(vmul(X1,X3),vmul(X2,X3)) )) 9.04/9.37 & (( equal___(vsucc(vplus(X1,X2)),vplus(X1,vsucc(X2))) )) 9.04/9.37 & (( equal___(vplus(X1,v1),vsucc(X1)) )) 9.04/9.37 & (( ~ less(X1,vplus(X2,v1)) | leq(X1,X2) )) 9.04/9.37 & (( equal___(X1,vmul(v1,X1)) )) 9.04/9.37 & (( equal___(X1,vmul(X1,v1)) )) 9.04/9.37 & (( equal___(vplus(vmul(X1,X2),X1),vmul(X1,vsucc(X2))) )) 9.04/9.37 & (( ~ equal___(vplus(X1,X2),X3) | ~ equal___(vplus(X3,X4),X1) )) 9.04/9.37 & (( ~ greater(X1,X2) | geq(X1,vplus(X2,v1)) )) 9.04/9.37 & (( ~ equal___(X1,X2) | ~ equal___(vplus(X2,X3),X1) )) 9.04/9.37 & (( ~ greater(X1,X2) | equal___(X1,vplus(X2,f_skolem_3(X1,X2))) )) 9.04/9.37 & (( greater(X1,X2) | ~ equal___(X1,vplus(X2,X3)) )) 9.04/9.37 & (( equal___(X1,X2) | ~ equal___(vplus(X3,X1),vplus(X3,X2)) )) 9.04/9.37 & (( ~ less(X1,X2) | greater(X2,X1) )) 9.04/9.37 & (( equal___(vmul(X1,X2),vmul(X2,X1)) )) 9.04/9.37 & (( equal___(vplus(X1,vplus(X2,X3)),vplus(vplus(X1,X2),X3)) )) 9.04/9.37 & (( equal___(vmul(vmul(X1,X2),X3),vmul(X1,vmul(X2,X3))) )) 9.04/9.37 & (( equal___(vplus(X1,X2),vplus(X2,X1)) )) 9.04/9.37 & (( ~ equal___(X1,vplus(X2,X3)) | less(X2,X1) )) 9.04/9.37 & (( equal___(X1,vplus(X2,f_skolem_4(X2,X1))) | ~ less(X2,X1) )) ), 9.04/9.37 inference(clausify,[status(esa),new_symbols(skolem,[f_skolem_1,f_skolem_2,f_skolem_3,f_skolem_4]),new_symbols(predicate,[equal___])],[satresetcop_premises])). 9.04/9.37 cnf(satresetcop_matrix_1,plain, 9.04/9.37 ( ~ greater(vd486,vd488) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_2,plain, 9.04/9.37 ( ~ equal___(X1,X2) | equal___(vskolem2(X1),vskolem2(X2)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_3,plain, 9.04/9.37 ( ~ equal___(X1,X2) | equal___(vsucc(X1),vsucc(X2)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_4,plain, 9.04/9.37 ( equal___(vmul(X1,X2),vmul(X3,X4)) | ~ equal___(X1,X3) | ~ equal___(X2,X4) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_5,plain, 9.04/9.37 ( equal___(vplus(X1,X2),vplus(X3,X4)) | ~ equal___(X1,X3) | ~ equal___(X2,X4) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_6,plain, 9.04/9.37 ( equal___(X1,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_7,plain, 9.04/9.37 ( ~ equal___(X1,X2) | equal___(X2,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_8,plain, 9.04/9.37 ( equal___(X1,X2) | ~ equal___(X1,X3) | ~ equal___(X3,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_9,plain, 9.04/9.37 ( leq(X1,X2) | ~ leq(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_10,plain, 9.04/9.37 ( geq(X1,X2) | ~ geq(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_11,plain, 9.04/9.37 ( less(X1,X2) | ~ less(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_12,plain, 9.04/9.37 ( greater(X1,X2) | ~ greater(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_13,plain, 9.04/9.37 ( equal___(vplus(v1,X1),vsucc(X1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_14,plain, 9.04/9.37 ( ~ equal___(X1,X2) | ~ equal___(X2,vplus(X1,X3)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_15,plain, 9.04/9.37 ( ~ equal___(X1,vsucc(X1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_16,plain, 9.04/9.37 ( greater(vmul(vd486,vd487),vmul(vd488,vd487)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_17,plain, 9.04/9.37 ( equal___(vsucc(vplus(X1,X2)),vplus(vsucc(X1),X2)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_18,plain, 9.04/9.37 ( equal___(X1,X2) | equal___(vplus(X2,f_skolem_1(X1,X2)),X1) | equal___(vplus(X1,f_skolem_2(X1,X2)),X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_19,plain, 9.04/9.37 ( geq(X1,v1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_20,plain, 9.04/9.37 ( geq(vplus(X1,X2),vplus(X3,X4)) | ~ geq(X1,X3) | ~ geq(X2,X4) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_21,plain, 9.04/9.37 ( ~ greater(X1,X2) | ~ less(X1,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_22,plain, 9.04/9.37 ( ~ equal___(X1,X2) | equal___(vmul(X2,X3),vmul(X1,X3)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_23,plain, 9.04/9.37 ( equal___(v1,X1) | equal___(X1,vsucc(vskolem2(X1))) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_24,plain, 9.04/9.37 ( equal___(vmul(X1,vplus(X2,X3)),vplus(vmul(X1,X2),vmul(X1,X3))) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_25,plain, 9.04/9.37 ( equal___(X1,X2) | ~ equal___(vsucc(X1),vsucc(X2)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_26,plain, 9.04/9.37 ( ~ greater(X1,X2) | ~ equal___(X1,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_27,plain, 9.04/9.37 ( equal___(vplus(vmul(X1,X2),X2),vmul(vsucc(X1),X2)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_28,plain, 9.04/9.37 ( equal___(X1,X2) | less(X2,X1) | greater(X2,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_29,plain, 9.04/9.37 ( ~ less(X1,X2) | ~ equal___(X1,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_30,plain, 9.04/9.37 ( ~ greater(X1,X2) | greater(vmul(X1,X3),vmul(X2,X3)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_31,plain, 9.04/9.37 ( ~ greater(X1,X2) | less(X2,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_32,plain, 9.04/9.37 ( ~ equal___(vplus(X1,X2),X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_33,plain, 9.04/9.37 ( ~ less(X1,X2) | less(vmul(X1,X3),vmul(X2,X3)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_34,plain, 9.04/9.37 ( equal___(vsucc(vplus(X1,X2)),vplus(X1,vsucc(X2))) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_35,plain, 9.04/9.37 ( equal___(vplus(X1,v1),vsucc(X1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_36,plain, 9.04/9.37 ( ~ less(X1,vplus(X2,v1)) | leq(X1,X2) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_37,plain, 9.04/9.37 ( equal___(X1,vmul(v1,X1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_38,plain, 9.04/9.37 ( equal___(X1,vmul(X1,v1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_39,plain, 9.04/9.37 ( equal___(vplus(vmul(X1,X2),X1),vmul(X1,vsucc(X2))) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_40,plain, 9.04/9.37 ( ~ equal___(vplus(X1,X2),X3) | ~ equal___(vplus(X3,X4),X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_41,plain, 9.04/9.37 ( ~ greater(X1,X2) | geq(X1,vplus(X2,v1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_42,plain, 9.04/9.37 ( ~ equal___(X1,X2) | ~ equal___(vplus(X2,X3),X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_43,plain, 9.04/9.37 ( ~ greater(X1,X2) | equal___(X1,vplus(X2,f_skolem_3(X1,X2))) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_44,plain, 9.04/9.37 ( greater(X1,X2) | ~ equal___(X1,vplus(X2,X3)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_45,plain, 9.04/9.37 ( equal___(X1,X2) | ~ equal___(vplus(X3,X1),vplus(X3,X2)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_46,plain, 9.04/9.37 ( ~ less(X1,X2) | greater(X2,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_47,plain, 9.04/9.37 ( equal___(vmul(X1,X2),vmul(X2,X1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_48,plain, 9.04/9.37 ( equal___(vplus(X1,vplus(X2,X3)),vplus(vplus(X1,X2),X3)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_49,plain, 9.04/9.37 ( equal___(vmul(vmul(X1,X2),X3),vmul(X1,vmul(X2,X3))) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_50,plain, 9.04/9.37 ( equal___(vplus(X1,X2),vplus(X2,X1)) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_51,plain, 9.04/9.37 ( ~ equal___(X1,vplus(X2,X3)) | less(X2,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_matrix_52,plain, 9.04/9.37 ( equal___(X1,vplus(X2,f_skolem_4(X2,X1))) | ~ less(X2,X1) ), 9.04/9.37 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 9.04/9.37 cnf(satresetcop_ground_1,plain, 9.04/9.37 ( greater(vd486, vd488) | equal___(vd488, vd486) | less(vd486, vd488) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_28])). 9.04/9.37 cnf(satresetcop_ground_2,plain, 9.04/9.37 ( ~ greater(vmul(vd486, vd487), vmul(vd488, vd487)) | ~ less(vmul(vd486, vd487), vmul(vd488, vd487)) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_21])). 9.04/9.37 cnf(satresetcop_ground_3,plain, 9.04/9.37 ( ~ greater(vmul(vd486, vd487), vmul(vd488, vd487)) | ~ equal___(vmul(vd486, vd487), vmul(vd488, vd487)) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_26])). 9.04/9.37 cnf(satresetcop_ground_4,plain, 9.04/9.37 ( ~ equal___(vd488, vd486) | equal___(vmul(vd486, vd487), vmul(vd488, vd487)) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_22])). 9.04/9.37 cnf(satresetcop_ground_5,plain, 9.04/9.37 ( ~ less(vd486, vd488) | less(vmul(vd486, vd487), vmul(vd488, vd487)) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_33])). 9.04/9.37 cnf(satresetcop_ground_6,plain, 9.04/9.37 ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_16])). 9.04/9.37 cnf(satresetcop_ground_7,plain, 9.04/9.37 ( ~ greater(vd486, vd488) ), 9.04/9.37 inference(instantiate,[status(thm)],[satresetcop_matrix_1])). 9.04/9.37 cnf(satresetcop_false,plain, 9.04/9.37 $false, 9.04/9.37 inference(sat_refutation,[status(thm)],[satresetcop_ground_1,satresetcop_ground_2,satresetcop_ground_3,satresetcop_ground_4,satresetcop_ground_5,satresetcop_ground_6,satresetcop_ground_7]), 9.04/9.37 [proof]). 9.04/9.37 % SZS output end CNFRefutation for theBenchmark 9.14/9.44 EOF