0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : Drodi3.1.5 -learnfrom(drodi.lrn) -timeout(%d) %s
0.14/0.35	% Computer   : n029.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1200
0.14/0.35	% WCLimit    : 120
0.14/0.35	% DateTime   : Tue Jul 13 16:44:40 EDT 2021
0.14/0.35	% CPUTime    : 
151.76/19.39	% Drodi V3.1.5
151.76/19.39	% Refutation found
151.76/19.39	% SZS status Theorem for theBenchmark: Theorem is valid
151.76/19.39	% SZS output start CNFRefutation for theBenchmark
151.76/19.39	fof(f1,axiom,(
151.76/19.39	  ((! [Vd16] : vsucc(Vd16) != Vd16 ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f2,axiom,(
151.76/19.39	  ((! [Vd491,Vd492,Vd493] :( Vd493 = Vd491<= vmul(Vd491,Vd492) = vmul(Vd493,Vd492) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f3,axiom,(
151.76/19.39	  ((! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f4,axiom,(
151.76/19.39	  ((! [Vd249,Vd250] :( leq(Vd250,Vd249)<=> ( Vd249 = Vd250| less(Vd250,Vd249) ) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f6,axiom,(
151.76/19.39	  ((! [Vd193,Vd194] :( (? [Vd196] : Vd194 = vplus(Vd193,Vd196))<=> greater(Vd194,Vd193) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f8,axiom,(
151.76/19.39	  ((! [Vd203,Vd204] :( Vd204 != Vd203| ~ less(Vd203,Vd204) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f9,axiom,(
151.76/19.39	  ((! [Vd353,Vd354,Vd355,Vd356] :( greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356))<= ( ( greater(Vd355,Vd356)& geq(Vd353,Vd354) )| ( geq(Vd355,Vd356)& greater(Vd353,Vd354) ) ) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f11,axiom,(
151.76/19.39	  ((! [Vd254,Vd255] :( geq(Vd254,Vd255)=> leq(Vd255,Vd254) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f12,axiom,(
151.76/19.39	  ((! [Vd328,Vd329,Vd330] :( greater(Vd328,Vd329)<= greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330)) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f14,axiom,(
151.76/19.39	  ((! [Vd456,Vd465,Vd466] :( less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))<= less(Vd465,Vd466) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f15,axiom,(
151.76/19.39	  ((! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f16,axiom,(
151.76/19.39	  ((! [Vd444,Vd445,Vd446] : vmul(vmul(Vd444,Vd445),Vd446) = vmul(Vd444,vmul(Vd445,Vd446)) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f17,axiom,(
151.76/19.39	  (geq(vd526,vd527) )),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f18,axiom,(
151.76/19.39	  ((! [Vd7,Vd8] :( Vd8 != Vd7=> vsucc(Vd8) != vsucc(Vd7) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f20,axiom,(
151.76/19.39	  ((! [Vd328,Vd329,Vd330] :( less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))=> less(Vd328,Vd329) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f21,axiom,(
151.76/19.39	  ((! [Vd92,Vd93] : vplus(Vd92,Vd93) != Vd93 ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f22,axiom,(
151.76/19.39	  ((! [Vd258,Vd259] :( leq(Vd258,Vd259)=> geq(Vd259,Vd258) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f23,axiom,(
151.76/19.39	  ((! [Vd68,Vd69] : vsucc(vplus(Vd68,Vd69)) = vplus(vsucc(Vd68),Vd69) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f24,axiom,(
151.76/19.39	  ((! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f25,axiom,(
151.76/19.39	  ((! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| Vd204 != Vd203 ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f26,axiom,(
151.76/19.39	  ((! [Vd42,Vd43] :( vsucc(Vd42) = vplus(Vd42,v1)& vsucc(vplus(Vd42,Vd43)) = vplus(Vd42,vsucc(Vd43)) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f27,axiom,(
151.76/19.39	  ((! [Vd501,Vd502,Vd504,Vd505] :( ( greater(Vd501,Vd502)& greater(Vd504,Vd505) )=> greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f28,axiom,(
151.76/19.39	  ((! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f29,axiom,(
151.76/19.39	  ((! [Vd369] : geq(Vd369,v1) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f31,axiom,(
151.76/19.39	  ((! [Vd301,Vd302,Vd303] :( less(Vd301,Vd302)=> less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f32,axiom,(
151.76/19.39	  ((! [Vd24] :( Vd24 = vsucc(vskolem2(Vd24))<= Vd24 != v1 ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f33,axiom,(
151.76/19.39	  ((! [Vd486,Vd487,Vd488] :( greater(Vd486,Vd488)<= greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487)) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f34,axiom,(
151.76/19.39	  ((! [Vd408,Vd409] : vmul(vsucc(Vd408),Vd409) = vplus(vmul(Vd408,Vd409),Vd409) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f35,conjecture,(
151.76/19.39	  (geq(vmul(vd526,vd529),vmul(vd527,vd530)) )),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f36,negated_conjecture,(
151.76/19.39	  ~((geq(vmul(vd526,vd529),vmul(vd527,vd530)) ))),
151.76/19.39	  inference(negated_conjecture,[status(cth)],[f35])).
151.76/19.39	fof(f37,axiom,(
151.76/19.39	  ((! [Vd120,Vd121] :( ~ (? [Vd125] : vplus(Vd120,Vd125) = Vd121)| Vd120 != Vd121 ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f38,axiom,(
151.76/19.39	  ((! [Vd208,Vd209] :( greater(Vd208,Vd209)=> less(Vd209,Vd208) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f42,axiom,(
151.76/19.39	  ((! [Vd203,Vd204] :( ~ less(Vd203,Vd204)| ~ greater(Vd203,Vd204) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f43,axiom,(
151.76/19.39	  ((! [Vd262,Vd263,Vd265] :( less(Vd262,Vd265)<= ( less(Vd262,Vd263)& less(Vd263,Vd265) ) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f45,axiom,(
151.76/19.39	  ((! [Vd400] : Vd400 = vmul(v1,Vd400) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f47,axiom,(
151.76/19.39	  ((! [Vd517,Vd518,Vd519,Vd520] :( greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520))<= ( ( greater(Vd519,Vd520)& geq(Vd517,Vd518) )| ( greater(Vd517,Vd518)& geq(Vd519,Vd520) ) ) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f48,axiom,(
151.76/19.39	  ((! [Vd362,Vd363,Vd365,Vd366] :( geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366))<= ( geq(Vd362,Vd363)& geq(Vd365,Vd366) ) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f49,axiom,(
151.76/19.39	  ((! [Vd337,Vd338,Vd340,Vd341] :( ( greater(Vd337,Vd338)& greater(Vd340,Vd341) )=> greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f51,axiom,(
151.76/19.39	  ((! [Vd104,Vd105] :( (! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105))<= Vd105 != Vd104 ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f52,axiom,(
151.76/19.39	  (geq(vd529,vd530) )),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f53,axiom,(
151.76/19.39	  ((! [Vd281,Vd282,Vd283] :( ( ( leq(Vd282,Vd283)& less(Vd281,Vd282) )| ( less(Vd282,Vd283)& leq(Vd281,Vd282) ) )=> less(Vd281,Vd283) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f54,axiom,(
151.76/19.39	  ((! [Vd198,Vd199] :( (? [Vd201] : vplus(Vd199,Vd201) = Vd198)<=> less(Vd199,Vd198) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f57,axiom,(
151.76/19.39	  ((! [Vd244,Vd245] :( geq(Vd245,Vd244)<=> ( Vd244 = Vd245| greater(Vd245,Vd244) ) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f58,axiom,(
151.76/19.39	  ((! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f59,axiom,(
151.76/19.39	  ((! [Vd396,Vd397] :( vplus(vmul(Vd396,Vd397),Vd396) = vmul(Vd396,vsucc(Vd397))& Vd396 = vmul(Vd396,v1) ) ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f60,axiom,(
151.76/19.39	  ((! [Vd1] : vsucc(Vd1) != v1 ))),
151.76/19.39	  file('/export/starexec/sandbox/benchmark/theBenchmark')).
151.76/19.39	fof(f63,plain,(
151.76/19.39	  ![X0]: (~vsucc(X0)=X0)),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f1])).
151.76/19.39	fof(f64,plain,(
151.76/19.39	  ![Vd491,Vd492,Vd493]: (![Vd491,Vd492,Vd493]: (Vd493=Vd491|~vmul(Vd491,Vd492)=vmul(Vd493,Vd492)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f2])).
151.76/19.39	fof(f66,plain,(
151.76/19.39	  ![X0,X1,X2]: (X0=X1|~vmul(X1,X2)=vmul(X0,X2))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f64])).
151.76/19.39	fof(f67,plain,(
151.76/19.39	  ![X0,X1]: (greater(vplus(X0,X1),X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f3])).
151.76/19.39	fof(f68,plain,(
151.76/19.39	  ![Vd249,Vd250]: (![Vd249,Vd250]: ((~leq(Vd250,Vd249)|(Vd249=Vd250|less(Vd250,Vd249)))&(leq(Vd250,Vd249)|(~Vd249=Vd250&~less(Vd250,Vd249)))))),
151.76/19.39	  inference(NNF_transformation,[status(esa)],[f4])).
151.76/19.39	fof(f70,plain,(
151.76/19.39	  ![X0,X1]: (~leq(X0,X1)|X1=X0|less(X0,X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f68])).
151.76/19.39	fof(f72,plain,(
151.76/19.39	  ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f68])).
151.76/19.39	fof(f76,plain,(
151.76/19.39	  ![Vd193,Vd194,Vd196]: (![Vd193,Vd194]: (((![Vd196]: ~Vd194=vplus(Vd193,Vd196))|greater(Vd194,Vd193))&((?[Vd196]: Vd194=vplus(Vd193,Vd196))|~greater(Vd194,Vd193))))),
151.76/19.39	  inference(NNF_transformation,[status(esa)],[f6])).
151.76/19.39	fof(f78,plain,(
151.76/19.39	  ![Vd193,Vd194,Vd196]: ((![Vd193,Vd194]: ((![Vd196]: ~Vd194=vplus(Vd193,Vd196))|greater(Vd194,Vd193)))&(![Vd193,Vd194]: (Vd194=vplus(Vd193,sk0_0(Vd194,Vd193))|~greater(Vd194,Vd193))))),
151.76/19.39	  inference(skolemization,[status(esa)],[f76])).
151.76/19.39	fof(f80,plain,(
151.76/19.39	  ![X0,X1]: (X0=vplus(X1,sk0_0(X0,X1))|~greater(X0,X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f78])).
151.76/19.39	fof(f83,plain,(
151.76/19.39	  ![X0,X1]: (~X0=X1|~less(X1,X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f8])).
151.76/19.39	fof(f84,plain,(
151.76/19.39	  ![Vd353,Vd354,Vd355,Vd356]: (![Vd353,Vd354,Vd355,Vd356]: (greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356))|((~greater(Vd355,Vd356)|~geq(Vd353,Vd354))&(~geq(Vd355,Vd356)|~greater(Vd353,Vd354)))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f9])).
151.76/19.39	fof(f85,plain,(
151.76/19.39	  ![X0,X1,X2,X3]: (greater(vplus(X0,X1),vplus(X2,X3))|~greater(X1,X3)|~geq(X0,X2))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f84])).
151.76/19.39	fof(f86,plain,(
151.76/19.39	  ![X0,X1,X2,X3]: (greater(vplus(X0,X1),vplus(X2,X3))|~geq(X1,X3)|~greater(X0,X2))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f84])).
151.76/19.39	fof(f90,plain,(
151.76/19.39	  ![Vd254,Vd255]: (![Vd254,Vd255]: (~geq(Vd254,Vd255)|leq(Vd255,Vd254)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f11])).
151.76/19.39	fof(f91,plain,(
151.76/19.39	  ![X0,X1]: (~geq(X0,X1)|leq(X1,X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f90])).
151.76/19.39	fof(f92,plain,(
151.76/19.39	  ![Vd328,Vd329,Vd330]: (![Vd328,Vd329,Vd330]: (greater(Vd328,Vd329)|~greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f12])).
151.76/19.39	fof(f94,plain,(
151.76/19.39	  ![X0,X1,X2]: (greater(X0,X1)|~greater(vplus(X0,X2),vplus(X1,X2)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f92])).
151.76/19.39	fof(f97,plain,(
151.76/19.39	  ![Vd456,Vd465,Vd466]: (![Vd456,Vd465,Vd466]: (less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))|~less(Vd465,Vd466)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f14])).
151.76/19.39	fof(f99,plain,(
151.76/19.39	  ![X0,X1,X2]: (less(vmul(X0,X1),vmul(X2,X1))|~less(X0,X2))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f97])).
151.76/19.39	fof(f100,plain,(
151.76/19.39	  ![X0]: (vplus(v1,X0)=vsucc(X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f15])).
151.76/19.39	fof(f101,plain,(
151.76/19.39	  ![X0,X1,X2]: (vmul(vmul(X0,X1),X2)=vmul(X0,vmul(X1,X2)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f16])).
151.76/19.39	fof(f102,plain,(
151.76/19.39	  geq(vd526,vd527)),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f17])).
151.76/19.39	fof(f103,plain,(
151.76/19.39	  ![Vd7,Vd8]: (![Vd7,Vd8]: (Vd8=Vd7|~vsucc(Vd8)=vsucc(Vd7)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f18])).
151.76/19.39	fof(f104,plain,(
151.76/19.39	  ![X0,X1]: (X0=X1|~vsucc(X0)=vsucc(X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f103])).
151.76/19.39	fof(f108,plain,(
151.76/19.39	  ![Vd328,Vd329,Vd330]: (![Vd328,Vd329,Vd330]: (~less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|less(Vd328,Vd329)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f20])).
151.76/19.39	fof(f110,plain,(
151.76/19.39	  ![X0,X1,X2]: (~less(vplus(X0,X1),vplus(X2,X1))|less(X0,X2))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f108])).
151.76/19.39	fof(f111,plain,(
151.76/19.39	  ![X0,X1]: (~vplus(X0,X1)=X1)),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f21])).
151.76/19.39	fof(f112,plain,(
151.76/19.39	  ![Vd258,Vd259]: (![Vd258,Vd259]: (~leq(Vd258,Vd259)|geq(Vd259,Vd258)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f22])).
151.76/19.39	fof(f113,plain,(
151.76/19.39	  ![X0,X1]: (~leq(X0,X1)|geq(X1,X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f112])).
151.76/19.39	fof(f114,plain,(
151.76/19.39	  ![X0,X1]: (vsucc(vplus(X0,X1))=vplus(vsucc(X0),X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f23])).
151.76/19.39	fof(f115,plain,(
151.76/19.39	  ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f24])).
151.76/19.39	fof(f116,plain,(
151.76/19.39	  ![X0,X1]: (~greater(X0,X1)|~X1=X0)),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f25])).
151.76/19.39	fof(f118,plain,(
151.76/19.39	  ![X0]: (vsucc(X0)=vplus(X0,v1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f26])).
151.76/19.39	fof(f119,plain,(
151.76/19.39	  ![X0,X1]: (vsucc(vplus(X0,X1))=vplus(X0,vsucc(X1)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f26])).
151.76/19.39	fof(f120,plain,(
151.76/19.39	  ![Vd501,Vd502,Vd504,Vd505]: (![Vd501,Vd502,Vd504,Vd505]: ((~greater(Vd501,Vd502)|~greater(Vd504,Vd505))|greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f27])).
151.76/19.39	fof(f121,plain,(
151.76/19.39	  ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(X2,X3)|greater(vmul(X0,X2),vmul(X1,X3)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f120])).
151.76/19.39	fof(f122,plain,(
151.76/19.39	  ![X0,X1,X2]: (vplus(vplus(X0,X1),X2)=vplus(X0,vplus(X1,X2)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f28])).
151.76/19.39	fof(f123,plain,(
151.76/19.39	  ![X0]: (geq(X0,v1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f29])).
151.76/19.39	fof(f127,plain,(
151.76/19.39	  ![Vd301,Vd302,Vd303]: (![Vd301,Vd302,Vd303]: (~less(Vd301,Vd302)|less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f31])).
151.76/19.39	fof(f129,plain,(
151.76/19.39	  ![X0,X1,X2]: (~less(X0,X1)|less(vplus(X0,X2),vplus(X1,X2)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f127])).
151.76/19.39	fof(f130,plain,(
151.76/19.39	  ![Vd24]: (![Vd24]: (Vd24=vsucc(vskolem2(Vd24))|Vd24=v1))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f32])).
151.76/19.39	fof(f131,plain,(
151.76/19.39	  ![X0]: (X0=vsucc(vskolem2(X0))|X0=v1)),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f130])).
151.76/19.39	fof(f132,plain,(
151.76/19.39	  ![Vd486,Vd487,Vd488]: (![Vd486,Vd487,Vd488]: (greater(Vd486,Vd488)|~greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f33])).
151.76/19.39	fof(f134,plain,(
151.76/19.39	  ![X0,X1,X2]: (greater(X0,X1)|~greater(vmul(X0,X2),vmul(X1,X2)))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f132])).
151.76/19.39	fof(f135,plain,(
151.76/19.39	  ![X0,X1]: (vmul(vsucc(X0),X1)=vplus(vmul(X0,X1),X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f34])).
151.76/19.39	fof(f136,plain,(
151.76/19.39	  ~geq(vmul(vd526,vd529),vmul(vd527,vd530))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f36])).
151.76/19.39	fof(f137,plain,(
151.76/19.39	  ![Vd120,Vd121,Vd125]: (![Vd120,Vd121]: ((![Vd125]: ~vplus(Vd120,Vd125)=Vd121)|~Vd120=Vd121))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f37])).
151.76/19.39	fof(f138,plain,(
151.76/19.39	  ![X0,X1,X2]: (~vplus(X0,X1)=X2|~X0=X2)),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f137])).
151.76/19.39	fof(f139,plain,(
151.76/19.39	  ![Vd208,Vd209]: (![Vd208,Vd209]: (~greater(Vd208,Vd209)|less(Vd209,Vd208)))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f38])).
151.76/19.39	fof(f140,plain,(
151.76/19.39	  ![X0,X1]: (~greater(X0,X1)|less(X1,X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f139])).
151.76/19.39	fof(f148,plain,(
151.76/19.39	  ![X0,X1]: (~less(X0,X1)|~greater(X0,X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f42])).
151.76/19.39	fof(f149,plain,(
151.76/19.39	  ![Vd262,Vd263,Vd265]: (![Vd262,Vd263,Vd265]: (less(Vd262,Vd265)|(~less(Vd262,Vd263)|~less(Vd263,Vd265))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f43])).
151.76/19.39	fof(f151,plain,(
151.76/19.39	  ![X0,X1,X2]: (less(X0,X1)|~less(X0,X2)|~less(X2,X1))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f149])).
151.76/19.39	fof(f155,plain,(
151.76/19.39	  ![X0]: (X0=vmul(v1,X0))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f45])).
151.76/19.39	fof(f158,plain,(
151.76/19.39	  ![Vd517,Vd518,Vd519,Vd520]: (![Vd517,Vd518,Vd519,Vd520]: (greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520))|((~greater(Vd519,Vd520)|~geq(Vd517,Vd518))&(~greater(Vd517,Vd518)|~geq(Vd519,Vd520)))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f47])).
151.76/19.39	fof(f159,plain,(
151.76/19.39	  ![X0,X1,X2,X3]: (greater(vmul(X0,X1),vmul(X2,X3))|~greater(X1,X3)|~geq(X0,X2))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f158])).
151.76/19.39	fof(f160,plain,(
151.76/19.39	  ![X0,X1,X2,X3]: (greater(vmul(X0,X1),vmul(X2,X3))|~greater(X0,X2)|~geq(X1,X3))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f158])).
151.76/19.39	fof(f161,plain,(
151.76/19.39	  ![Vd362,Vd363,Vd365,Vd366]: (![Vd362,Vd363,Vd365,Vd366]: (geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366))|(~geq(Vd362,Vd363)|~geq(Vd365,Vd366))))),
151.76/19.39	  inference(pre_NNF_transformation,[status(esa)],[f48])).
151.76/19.39	fof(f162,plain,(
151.76/19.39	  ![X0,X1,X2,X3]: (geq(vplus(X0,X1),vplus(X2,X3))|~geq(X0,X2)|~geq(X1,X3))),
151.76/19.39	  inference(cnf_transformation,[status(esa)],[f161])).
151.76/19.39	fof(f163,plain,(
151.76/19.39	  ![Vd337,Vd338,Vd340,Vd341]: (![Vd337,Vd338,Vd340,Vd341]: ((~greater(Vd337,Vd338)|~greater(Vd340,Vd341))|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))))),
151.76/19.40	  inference(pre_NNF_transformation,[status(esa)],[f49])).
151.76/19.40	fof(f164,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(X2,X3)|greater(vplus(X0,X2),vplus(X1,X3)))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f163])).
151.76/19.40	fof(f167,plain,(
151.76/19.40	  ![Vd104,Vd105,Vd107]: (![Vd104,Vd105]: ((![Vd107]: ~vplus(Vd107,Vd104)=vplus(Vd107,Vd105))|Vd105=Vd104))),
151.76/19.40	  inference(pre_NNF_transformation,[status(esa)],[f51])).
151.76/19.40	fof(f168,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(X0,X1)=vplus(X0,X2)|X2=X1)),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f167])).
151.76/19.40	fof(f169,plain,(
151.76/19.40	  geq(vd529,vd530)),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f52])).
151.76/19.40	fof(f170,plain,(
151.76/19.40	  ![Vd281,Vd282,Vd283]: (![Vd281,Vd282,Vd283]: (((~leq(Vd282,Vd283)|~less(Vd281,Vd282))&(~less(Vd282,Vd283)|~leq(Vd281,Vd282)))|less(Vd281,Vd283)))),
151.76/19.40	  inference(pre_NNF_transformation,[status(esa)],[f53])).
151.76/19.40	fof(f172,plain,(
151.76/19.40	  ![X0,X1,X2]: (~leq(X0,X1)|~less(X2,X0)|less(X2,X1))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f170])).
151.76/19.40	fof(f174,plain,(
151.76/19.40	  ![Vd198,Vd199,Vd201]: (![Vd198,Vd199]: (((![Vd201]: ~vplus(Vd199,Vd201)=Vd198)|less(Vd199,Vd198))&((?[Vd201]: vplus(Vd199,Vd201)=Vd198)|~less(Vd199,Vd198))))),
151.76/19.40	  inference(NNF_transformation,[status(esa)],[f54])).
151.76/19.40	fof(f176,plain,(
151.76/19.40	  ![Vd198,Vd199,Vd201]: ((![Vd198,Vd199]: ((![Vd201]: ~vplus(Vd199,Vd201)=Vd198)|less(Vd199,Vd198)))&(![Vd198,Vd199]: (vplus(Vd199,sk0_3(Vd199,Vd198))=Vd198|~less(Vd199,Vd198))))),
151.76/19.40	  inference(skolemization,[status(esa)],[f174])).
151.76/19.40	fof(f177,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(X0,X1)=X2|less(X0,X2))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f176])).
151.76/19.40	fof(f182,plain,(
151.76/19.40	  ![Vd244,Vd245]: (![Vd244,Vd245]: ((~geq(Vd245,Vd244)|(Vd244=Vd245|greater(Vd245,Vd244)))&(geq(Vd245,Vd244)|(~Vd244=Vd245&~greater(Vd245,Vd244)))))),
151.76/19.40	  inference(NNF_transformation,[status(esa)],[f57])).
151.76/19.40	fof(f184,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,X1)|X1=X0|greater(X0,X1))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f182])).
151.76/19.40	fof(f185,plain,(
151.76/19.40	  ![X0,X1]: (geq(X0,X1)|~X1=X0)),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f182])).
151.76/19.40	fof(f186,plain,(
151.76/19.40	  ![X0,X1]: (geq(X0,X1)|~greater(X0,X1))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f182])).
151.76/19.40	fof(f187,plain,(
151.76/19.40	  ![X0,X1]: (vplus(X0,X1)=vplus(X1,X0))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f58])).
151.76/19.40	fof(f190,plain,(
151.76/19.40	  ![X0]: (X0=vmul(X0,v1))),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f59])).
151.76/19.40	fof(f191,plain,(
151.76/19.40	  ![X0]: (~vsucc(X0)=v1)),
151.76/19.40	  inference(cnf_transformation,[status(esa)],[f60])).
151.76/19.40	fof(f199,plain,(
151.76/19.40	  ![X0]: (~less(X0,X0))),
151.76/19.40	  inference(destructive_equality_resolution,[status(esa)],[f83])).
151.76/19.40	fof(f200,plain,(
151.76/19.40	  ![X0]: (~greater(X0,X0))),
151.76/19.40	  inference(destructive_equality_resolution,[status(esa)],[f116])).
151.76/19.40	fof(f201,plain,(
151.76/19.40	  ![X0,X1]: (~X0=vplus(X0,X1))),
151.76/19.40	  inference(destructive_equality_resolution,[status(esa)],[f138])).
151.76/19.40	fof(f203,plain,(
151.76/19.40	  ![X0,X1]: (less(X0,vplus(X0,X1)))),
151.76/19.40	  inference(destructive_equality_resolution,[status(esa)],[f177])).
151.76/19.40	fof(f204,plain,(
151.76/19.40	  ![X0]: (geq(X0,X0))),
151.76/19.40	  inference(destructive_equality_resolution,[status(esa)],[f185])).
151.76/19.40	fof(f207,plain,(
151.76/19.40	  ![X0,X1]: (vplus(X0,X1)=vplus(X0,sk0_0(vplus(X0,X1),X0)))),
151.76/19.40	  inference(resolution,[status(thm)],[f67,f80])).
151.76/19.40	fof(f211,plain,(
151.76/19.40	  spl0_1 <=> ~greater(X2,X2)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f216,plain,(
151.76/19.40	  spl0_2 <=> greater(X0,X1)|~greater(X0,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f219,plain,(
151.76/19.40	  spl0_3 <=> ~geq(X2,X2)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f220,plain,(
151.76/19.40	  ![X0]: (~geq(X0,X0)|~spl0_3)),
151.76/19.40	  inference(component_clause,[status(thm)],[f219])).
151.76/19.40	fof(f222,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(X0,X1)|~geq(X2,X2)|~greater(X0,X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f94,f86])).
151.76/19.40	fof(f223,plain,(
151.76/19.40	  spl0_2|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f222,f216,f219])).
151.76/19.40	fof(f225,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vsucc(X0),vplus(X1,X2))|~greater(X0,X2)|~geq(v1,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f85])).
151.76/19.40	fof(f226,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vplus(X0,X1),vsucc(X2))|~greater(X1,X2)|~geq(X0,v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f85])).
151.76/19.40	fof(f227,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vsucc(X0),vplus(X1,X2))|~geq(X0,X2)|~greater(v1,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f86])).
151.76/19.40	fof(f228,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vplus(X0,X1),vsucc(X2))|~geq(X1,X2)|~greater(X0,v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f86])).
151.76/19.40	fof(f233,plain,(
151.76/19.40	  ![X0,X1]: (greater(v1,X0)|~greater(vsucc(X1),vplus(X0,X1)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f94])).
151.76/19.40	fof(f234,plain,(
151.76/19.40	  ![X0,X1]: (greater(X0,v1)|~greater(vplus(X0,X1),vsucc(X1)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f94])).
151.76/19.40	fof(f251,plain,(
151.76/19.40	  ![X0,X1,X2]: (leq(vmul(X0,X1),vmul(X2,X1))|~less(X0,X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f72,f99])).
151.76/19.40	fof(f253,plain,(
151.76/19.40	  ![X0,X1]: (~less(vsucc(X0),vplus(X1,X0))|less(v1,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f110])).
151.76/19.40	fof(f258,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(vsucc(vplus(X0,X1)),vplus(X2,X3))|~geq(X1,X3)|~greater(vsucc(X0),X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f86])).
151.76/19.40	fof(f259,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(vplus(X0,X1),vsucc(vplus(X2,X3)))|~geq(X1,X3)|~greater(X0,vsucc(X2)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f86])).
151.76/19.40	fof(f260,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vplus(X0,X1))=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f111])).
151.76/19.40	fof(f264,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vsucc(X0),X1)|~greater(vsucc(vplus(X0,X2)),vplus(X1,X2)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f94])).
151.76/19.40	fof(f265,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(X0,vsucc(X1))|~greater(vplus(X0,X2),vsucc(vplus(X1,X2))))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f94])).
151.76/19.40	fof(f270,plain,(
151.76/19.40	  ![X0,X1,X2]: (vmul(X0,vmul(X1,X2))=vmul(X2,vmul(X0,X1)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f101,f115])).
151.76/19.40	fof(f292,plain,(
151.76/19.40	  ![X0]: (greater(vsucc(X0),X0))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f118,f67])).
151.76/19.40	fof(f309,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(vsucc(vplus(X0,X1)),vplus(X2,X3))|~greater(vsucc(X1),X3)|~geq(X0,X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f119,f85])).
151.76/19.40	fof(f340,plain,(
151.76/19.40	  $false|~spl0_3),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f220,f204])).
151.76/19.40	fof(f341,plain,(
151.76/19.40	  ~spl0_3),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f340])).
151.76/19.40	fof(f343,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,X0)|~greater(X1,X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f121,f200])).
151.76/19.40	fof(f344,plain,(
151.76/19.40	  spl0_1),
151.76/19.40	  inference(split_clause,[status(thm)],[f343,f211])).
151.76/19.40	fof(f351,plain,(
151.76/19.40	  ![X0]: (leq(v1,X0))),
151.76/19.40	  inference(resolution,[status(thm)],[f123,f91])).
151.76/19.40	fof(f372,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(vmul(X0,X1),X2)|~greater(vmul(X0,vmul(X1,X3)),vmul(X2,X3)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f101,f134])).
151.76/19.40	fof(f373,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(X0,X1)|~greater(vmul(X2,X0),vmul(X1,X2)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f115,f134])).
151.76/19.40	fof(f375,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(X0,vmul(X1,X2))|~greater(vmul(X0,X3),vmul(X1,vmul(X2,X3))))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f101,f134])).
151.76/19.40	fof(f406,plain,(
151.76/19.40	  ![X0,X1]: (X0=v1|~X1=vmul(X0,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f155,f66])).
151.76/19.40	fof(f415,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,v1)|~greater(X1,X2)|greater(vmul(X0,X1),X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f155,f121])).
151.76/19.40	fof(f417,plain,(
151.76/19.40	  ![X0,X1]: (greater(X0,v1)|~greater(vmul(X0,X1),X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f155,f134])).
151.76/19.40	fof(f418,plain,(
151.76/19.40	  ![X0]: (vmul(vsucc(v1),X0)=vplus(X0,X0))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f155,f135])).
151.76/19.40	fof(f448,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(vmul(X0,X1),vmul(X2,X1))|~less(X0,X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f148,f99])).
151.76/19.40	fof(f522,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(X0,vmul(X1,X2))|~greater(X0,X2)|~geq(v1,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f155,f159])).
151.76/19.40	fof(f526,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vmul(X0,X1),X2)|~greater(X1,v1)|~geq(X0,X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f190,f159])).
151.76/19.40	fof(f534,plain,(
151.76/19.40	  ![X0,X1,X2,X3,X4]: (greater(vmul(X0,vmul(X1,X2)),vmul(X3,X4))|~greater(vmul(X0,X1),X3)|~geq(X2,X4))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f101,f160])).
151.76/19.40	fof(f537,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(X0,vmul(X1,X2))|~greater(X0,X1)|~geq(v1,X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f190,f160])).
151.76/19.40	fof(f539,plain,(
151.76/19.40	  ![X0,X1,X2,X3,X4]: (greater(vmul(X0,X1),vmul(X2,vmul(X3,X4)))|~greater(X0,vmul(X2,X3))|~geq(X1,X4))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f101,f160])).
151.76/19.40	fof(f546,plain,(
151.76/19.40	  ![X0,X1,X2]: (geq(vsucc(X0),vplus(X1,X2))|~geq(v1,X1)|~geq(X0,X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f162])).
151.76/19.40	fof(f562,plain,(
151.76/19.40	  ![X0]: (X0=vskolem2(vsucc(X0))|vsucc(X0)=v1)),
151.76/19.40	  inference(resolution,[status(thm)],[f104,f131])).
151.76/19.40	fof(f563,plain,(
151.76/19.40	  ![X0]: (X0=vskolem2(vsucc(X0)))),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f562,f191])).
151.76/19.40	fof(f595,plain,(
151.76/19.40	  ![X0,X1,X2,X3,X4]: (greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))|~geq(X2,X4)|~greater(vplus(X0,X1),X3))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f86])).
151.76/19.40	fof(f596,plain,(
151.76/19.40	  ![X0,X1,X2,X3,X4]: (greater(vplus(X0,X1),vplus(X2,vplus(X3,X4)))|~geq(X1,X4)|~greater(X0,vplus(X2,X3)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f86])).
151.76/19.40	fof(f597,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(X0,vplus(X1,X2))=X2)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f111])).
151.76/19.40	fof(f601,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(vplus(X0,X1),X2)|~greater(vplus(X0,vplus(X1,X3)),vplus(X2,X3)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f94])).
151.76/19.40	fof(f602,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(X0,vplus(X1,X2))|~greater(vplus(X0,X3),vplus(X1,vplus(X2,X3))))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f94])).
151.76/19.40	fof(f628,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(vsucc(X2),X3)|greater(vsucc(vplus(X0,X2)),vplus(X1,X3)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f119,f164])).
151.76/19.40	fof(f645,plain,(
151.76/19.40	  spl0_4 <=> vd527=vd526),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f646,plain,(
151.76/19.40	  vd527=vd526|~spl0_4),
151.76/19.40	  inference(component_clause,[status(thm)],[f645])).
151.76/19.40	fof(f648,plain,(
151.76/19.40	  spl0_5 <=> greater(vd526,vd527)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f649,plain,(
151.76/19.40	  greater(vd526,vd527)|~spl0_5),
151.76/19.40	  inference(component_clause,[status(thm)],[f648])).
151.76/19.40	fof(f651,plain,(
151.76/19.40	  vd527=vd526|greater(vd526,vd527)),
151.76/19.40	  inference(resolution,[status(thm)],[f184,f102])).
151.76/19.40	fof(f652,plain,(
151.76/19.40	  spl0_4|spl0_5),
151.76/19.40	  inference(split_clause,[status(thm)],[f651,f645,f648])).
151.76/19.40	fof(f654,plain,(
151.76/19.40	  ![X0]: (v1=X0|greater(X0,v1))),
151.76/19.40	  inference(resolution,[status(thm)],[f184,f123])).
151.76/19.40	fof(f657,plain,(
151.76/19.40	  spl0_6 <=> vd530=vd529),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f658,plain,(
151.76/19.40	  vd530=vd529|~spl0_6),
151.76/19.40	  inference(component_clause,[status(thm)],[f657])).
151.76/19.40	fof(f660,plain,(
151.76/19.40	  spl0_7 <=> greater(vd529,vd530)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f663,plain,(
151.76/19.40	  vd530=vd529|greater(vd529,vd530)),
151.76/19.40	  inference(resolution,[status(thm)],[f184,f169])).
151.76/19.40	fof(f664,plain,(
151.76/19.40	  spl0_6|spl0_7),
151.76/19.40	  inference(split_clause,[status(thm)],[f663,f657,f660])).
151.76/19.40	fof(f665,plain,(
151.76/19.40	  ~greater(vmul(vd526,vd529),vmul(vd527,vd530))),
151.76/19.40	  inference(resolution,[status(thm)],[f186,f136])).
151.76/19.40	fof(f688,plain,(
151.76/19.40	  ![X0,X1]: (~X0=vplus(X1,X0))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f201])).
151.76/19.40	fof(f690,plain,(
151.76/19.40	  ![X0,X1]: (greater(vplus(X0,X1),X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f67])).
151.76/19.40	fof(f696,plain,(
151.76/19.40	  ![X0,X1,X2]: (~less(vplus(X0,X1),vplus(X1,X2))|less(X0,X2))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f110])).
151.76/19.40	fof(f697,plain,(
151.76/19.40	  ![X0,X1,X2]: (~less(X0,X1)|less(vplus(X2,X0),vplus(X1,X2)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f129])).
151.76/19.40	fof(f777,plain,(
151.76/19.40	  ![X0,X1]: (~X0=vmul(vsucc(X1),X0))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f688])).
151.76/19.40	fof(f779,plain,(
151.76/19.40	  ~geq(vmul(vd526,vd529),vmul(vd527,vd529))|~spl0_6),
151.76/19.40	  inference(backward_demodulation,[status(thm)],[f658,f136])).
151.76/19.40	fof(f782,plain,(
151.76/19.40	  ~geq(vmul(vd526,vd529),vmul(vd526,vd529))|~spl0_4|~spl0_6),
151.76/19.40	  inference(forward_demodulation,[status(thm)],[f646,f779])).
151.76/19.40	fof(f783,plain,(
151.76/19.40	  $false|~spl0_4|~spl0_6),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f782,f204])).
151.76/19.40	fof(f784,plain,(
151.76/19.40	  ~spl0_4|~spl0_6),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f783])).
151.76/19.40	fof(f785,plain,(
151.76/19.40	  ~leq(vmul(vd527,vd530),vmul(vd526,vd529))),
151.76/19.40	  inference(resolution,[status(thm)],[f136,f113])).
151.76/19.40	fof(f786,plain,(
151.76/19.40	  ~greater(vmul(vd526,vd529),vmul(vd527,vd530))),
151.76/19.40	  inference(resolution,[status(thm)],[f136,f186])).
151.76/19.40	fof(f912,plain,(
151.76/19.40	  ![X0]: (~vsucc(vsucc(X0))=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f260])).
151.76/19.40	fof(f913,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vsucc(vplus(X0,X1)))=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f260])).
151.76/19.40	fof(f920,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vmul(vsucc(X0),X1))=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f260])).
151.76/19.40	fof(f986,plain,(
151.76/19.40	  ![X0,X1]: (~less(X0,X1)|~less(X1,X0))),
151.76/19.40	  inference(resolution,[status(thm)],[f151,f199])).
151.76/19.40	fof(f1017,plain,(
151.76/19.40	  spl0_8 <=> v1=v1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f1084,plain,(
151.76/19.40	  ![X0,X1]: (~leq(X0,X1)|~less(X1,X0))),
151.76/19.40	  inference(resolution,[status(thm)],[f172,f199])).
151.76/19.40	fof(f1139,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(vplus(X0,X1),X2)=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f597])).
151.76/19.40	fof(f1141,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vmul(vsucc(X0),vplus(X1,X2))=X2)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f597])).
151.76/19.40	fof(f1157,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(X0,vmul(vsucc(X1),X2))=X2)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f597])).
151.76/19.40	fof(f1198,plain,(
151.76/19.40	  ![X0]: (less(v1,vsucc(X0)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f203])).
151.76/19.40	fof(f1200,plain,(
151.76/19.40	  ![X0]: (less(X0,vsucc(X0)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f118,f203])).
151.76/19.40	fof(f1204,plain,(
151.76/19.40	  ![X0,X1]: (less(X0,vplus(X1,X0)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f203])).
151.76/19.40	fof(f1347,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(vmul(vsucc(X0),X1),X2)=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f1139])).
151.76/19.40	fof(f1482,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vmul(X0,vplus(X1,X2))=X2|X0=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f1141])).
151.76/19.40	fof(f1532,plain,(
151.76/19.40	  ![X0,X1]: (sk0_0(vplus(X0,X1),X0)=X1)),
151.76/19.40	  inference(resolution,[status(thm)],[f207,f168])).
151.76/19.40	fof(f1619,plain,(
151.76/19.40	  ![X0]: (~greater(v1,vsucc(X0)))),
151.76/19.40	  inference(resolution,[status(thm)],[f1198,f148])).
151.76/19.40	fof(f1651,plain,(
151.76/19.40	  ![X0]: (sk0_0(vsucc(X0),v1)=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f1532])).
151.76/19.40	fof(f1653,plain,(
151.76/19.40	  ![X0]: (sk0_0(vsucc(X0),X0)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f118,f1532])).
151.76/19.40	fof(f1718,plain,(
151.76/19.40	  spl0_10 <=> greater(vsucc(X0),vsucc(X1))|~greater(X0,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f1721,plain,(
151.76/19.40	  spl0_11 <=> geq(v1,v1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f1723,plain,(
151.76/19.40	  ~geq(v1,v1)|spl0_11),
151.76/19.40	  inference(component_clause,[status(thm)],[f1721])).
151.76/19.40	fof(f1724,plain,(
151.76/19.40	  ![X0,X1]: (greater(vsucc(X0),vsucc(X1))|~greater(X0,X1)|~geq(v1,v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f225])).
151.76/19.40	fof(f1725,plain,(
151.76/19.40	  spl0_10|~spl0_11),
151.76/19.40	  inference(split_clause,[status(thm)],[f1724,f1718,f1721])).
151.76/19.40	fof(f1737,plain,(
151.76/19.40	  $false|spl0_11),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f1723,f204])).
151.76/19.40	fof(f1738,plain,(
151.76/19.40	  spl0_11),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f1737])).
151.76/19.40	fof(f1739,plain,(
151.76/19.40	  ![X0]: (sk0_0(X0,v1)=vskolem2(X0)|X0=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f1651])).
151.76/19.40	fof(f1741,plain,(
151.76/19.40	  ![X0]: (leq(X0,vsucc(X0)))),
151.76/19.40	  inference(resolution,[status(thm)],[f1200,f72])).
151.76/19.40	fof(f1742,plain,(
151.76/19.40	  ![X0]: (~greater(X0,vsucc(X0)))),
151.76/19.40	  inference(resolution,[status(thm)],[f1200,f148])).
151.76/19.40	fof(f1792,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vplus(X0,X1),vsucc(X2))|~greater(X1,X2))),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f226,f123])).
151.76/19.40	fof(f1803,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,vplus(X1,X0)))),
151.76/19.40	  inference(resolution,[status(thm)],[f1792,f1742])).
151.76/19.40	fof(f1817,plain,(
151.76/19.40	  ![X0]: (~greater(v1,X0)|X0=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f1619])).
151.76/19.40	fof(f1832,plain,(
151.76/19.40	  ![X0]: (v1=X0|X0=vplus(v1,sk0_0(X0,v1)))),
151.76/19.40	  inference(resolution,[status(thm)],[f654,f80])).
151.76/19.40	fof(f1833,plain,(
151.76/19.40	  ![X0]: (v1=X0|X0=vsucc(sk0_0(X0,v1)))),
151.76/19.40	  inference(forward_demodulation,[status(thm)],[f100,f1832])).
151.76/19.40	fof(f1854,plain,(
151.76/19.40	  ![X0,X1]: (greater(vmul(vsucc(X0),X1),X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f690])).
151.76/19.40	fof(f1943,plain,(
151.76/19.40	  ![X0,X1]: (greater(vmul(X0,X1),X1)|X0=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f1854])).
151.76/19.40	fof(f2051,plain,(
151.76/19.40	  ![X0,X1]: (less(X0,vmul(vsucc(X1),X0)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f1204])).
151.76/19.40	fof(f2124,plain,(
151.76/19.40	  ![X0,X1]: (leq(X0,vmul(vsucc(X1),X0)))),
151.76/19.40	  inference(resolution,[status(thm)],[f2051,f72])).
151.76/19.40	fof(f2135,plain,(
151.76/19.40	  ![X0,X1]: (less(X0,vmul(X1,X0))|X1=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f2051])).
151.76/19.40	fof(f2139,plain,(
151.76/19.40	  spl0_15 <=> ~greater(X0,vsucc(X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2142,plain,(
151.76/19.40	  spl0_16 <=> ~geq(v1,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2143,plain,(
151.76/19.40	  ![X0]: (~geq(v1,X0)|~spl0_16)),
151.76/19.40	  inference(component_clause,[status(thm)],[f2142])).
151.76/19.40	fof(f2147,plain,(
151.76/19.40	  spl0_17 <=> ~geq(X0,vsucc(X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2150,plain,(
151.76/19.40	  spl0_18 <=> ~greater(v1,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2166,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,vplus(X1,vplus(X2,X0))))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f1803])).
151.76/19.40	fof(f2218,plain,(
151.76/19.40	  spl0_20 <=> greater(v1,X0)|~greater(v1,X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2221,plain,(
151.76/19.40	  ![X0,X1]: (greater(v1,X0)|~geq(X1,X1)|~greater(v1,X0))),
151.76/19.40	  inference(resolution,[status(thm)],[f233,f227])).
151.76/19.40	fof(f2222,plain,(
151.76/19.40	  spl0_20|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f2221,f2218,f219])).
151.76/19.40	fof(f2262,plain,(
151.76/19.40	  ![X0,X1]: (leq(X0,vmul(X1,X0))|X1=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f2124])).
151.76/19.40	fof(f2294,plain,(
151.76/19.40	  spl0_23 <=> greater(X0,v1)|~greater(X0,v1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2297,plain,(
151.76/19.40	  ![X0,X1]: (greater(X0,v1)|~geq(X1,X1)|~greater(X0,v1))),
151.76/19.40	  inference(resolution,[status(thm)],[f234,f228])).
151.76/19.40	fof(f2298,plain,(
151.76/19.40	  spl0_23|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f2297,f2294,f219])).
151.76/19.40	fof(f2328,plain,(
151.76/19.40	  ![X0,X1]: (~less(vmul(vsucc(X0),X1),X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f986,f2051])).
151.76/19.40	fof(f2460,plain,(
151.76/19.40	  ![X0,X1]: (~leq(vmul(vsucc(X0),X1),X1)|X1=vmul(vsucc(X0),X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f2328,f70])).
151.76/19.40	fof(f2461,plain,(
151.76/19.40	  ![X0,X1]: (~leq(vmul(vsucc(X0),X1),X1))),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f2460,f777])).
151.76/19.40	fof(f2470,plain,(
151.76/19.40	  ![X0,X1]: (~less(vmul(X0,X1),X1)|X0=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f2328])).
151.76/19.40	fof(f2489,plain,(
151.76/19.40	  ![X0,X1]: (~leq(vmul(X0,X1),X1)|X0=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f2461])).
151.76/19.40	fof(f2519,plain,(
151.76/19.40	  ![X0,X1]: (~leq(X0,X1)|~greater(X0,X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f1084,f140])).
151.76/19.40	fof(f2604,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vmul(vplus(X0,X1),X2)=X1|X2=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f115,f1482])).
151.76/19.40	fof(f2631,plain,(
151.76/19.40	  spl0_25 <=> less(v1,v1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f2632,plain,(
151.76/19.40	  less(v1,v1)|~spl0_25),
151.76/19.40	  inference(component_clause,[status(thm)],[f2631])).
151.76/19.40	fof(f2727,plain,(
151.76/19.40	  v1=v1|v1=v1),
151.76/19.40	  inference(resolution,[status(thm)],[f1817,f654])).
151.76/19.40	fof(f2728,plain,(
151.76/19.40	  spl0_8),
151.76/19.40	  inference(split_clause,[status(thm)],[f2727,f1017])).
151.76/19.40	fof(f2796,plain,(
151.76/19.40	  ![X0]: (~greater(v1,X0))),
151.76/19.40	  inference(resolution,[status(thm)],[f2519,f351])).
151.76/19.40	fof(f2810,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vmul(vmul(vsucc(X0),X1),X2)=X1|X2=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f2604])).
151.76/19.40	fof(f2811,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vmul(vsucc(X0),vmul(X1,X2))=X1|X2=v1)),
151.76/19.40	  inference(forward_demodulation,[status(thm)],[f101,f2810])).
151.76/19.40	fof(f2815,plain,(
151.76/19.40	  ![X0,X1]: (~greater(vsucc(X0),vplus(X1,X0)))),
151.76/19.40	  inference(backward_subsumption_resolution,[status(thm)],[f233,f2796])).
151.76/19.40	fof(f2860,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vsucc(vmul(vsucc(X0),X1)))=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f913])).
151.76/19.40	fof(f2925,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(vsucc(X0),vplus(X1,vplus(X2,X0))))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f122,f2815])).
151.76/19.40	fof(f3061,plain,(
151.76/19.40	  ![X0]: (vmul(X0,vsucc(v1))=vplus(X0,X0))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f115,f418])).
151.76/19.40	fof(f3096,plain,(
151.76/19.40	  spl0_28 <=> vsucc(v1)=v1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f3097,plain,(
151.76/19.40	  vsucc(v1)=v1|~spl0_28),
151.76/19.40	  inference(component_clause,[status(thm)],[f3096])).
151.76/19.40	fof(f3099,plain,(
151.76/19.40	  spl0_29 <=> ~X0=vplus(X0,X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f3102,plain,(
151.76/19.40	  ![X0]: (vsucc(v1)=v1|~X0=vplus(X0,X0))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f406])).
151.76/19.40	fof(f3103,plain,(
151.76/19.40	  spl0_28|spl0_29),
151.76/19.40	  inference(split_clause,[status(thm)],[f3102,f3096,f3099])).
151.76/19.40	fof(f3178,plain,(
151.76/19.40	  ![X0]: (sk0_0(vmul(vsucc(v1),X0),X0)=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f1532])).
151.76/19.40	fof(f3238,plain,(
151.76/19.40	  $false|~spl0_28),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f3097,f63])).
151.76/19.40	fof(f3239,plain,(
151.76/19.40	  ~spl0_28),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f3238])).
151.76/19.40	fof(f3572,plain,(
151.76/19.40	  spl0_31 <=> ~less(vsucc(X0),vsucc(X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f3575,plain,(
151.76/19.40	  ![X0]: (~less(vsucc(X0),vsucc(X0))|less(v1,v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f253])).
151.76/19.40	fof(f3576,plain,(
151.76/19.40	  spl0_31|spl0_25),
151.76/19.40	  inference(split_clause,[status(thm)],[f3575,f3572,f2631])).
151.76/19.40	fof(f3590,plain,(
151.76/19.40	  $false|~spl0_25),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f2632,f199])).
151.76/19.40	fof(f3591,plain,(
151.76/19.40	  ~spl0_25),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f3590])).
151.76/19.40	fof(f4309,plain,(
151.76/19.40	  spl0_33 <=> greater(vplus(X0,X0),X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4312,plain,(
151.76/19.40	  ![X0]: (greater(vplus(X0,X0),X0)|vsucc(v1)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f1943])).
151.76/19.40	fof(f4313,plain,(
151.76/19.40	  spl0_33|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f4312,f4309,f3096])).
151.76/19.40	fof(f4341,plain,(
151.76/19.40	  spl0_34 <=> ~greater(X0,vplus(X0,X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4497,plain,(
151.76/19.40	  spl0_35 <=> less(X0,X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4498,plain,(
151.76/19.40	  ![X0]: (less(X0,X0)|~spl0_35)),
151.76/19.40	  inference(component_clause,[status(thm)],[f4497])).
151.76/19.40	fof(f4502,plain,(
151.76/19.40	  spl0_36 <=> less(X0,vplus(X0,X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4505,plain,(
151.76/19.40	  ![X0]: (less(X0,vplus(X0,X0))|vsucc(v1)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f2135])).
151.76/19.40	fof(f4506,plain,(
151.76/19.40	  spl0_36|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f4505,f4502,f3096])).
151.76/19.40	fof(f4601,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,X0)|~greater(X1,vsucc(X1)))),
151.76/19.40	  inference(resolution,[status(thm)],[f259,f1742])).
151.76/19.40	fof(f4602,plain,(
151.76/19.40	  spl0_3|spl0_15),
151.76/19.40	  inference(split_clause,[status(thm)],[f4601,f219,f2139])).
151.76/19.40	fof(f4832,plain,(
151.76/19.40	  spl0_38 <=> leq(X0,vplus(X0,X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4835,plain,(
151.76/19.40	  ![X0]: (leq(X0,vplus(X0,X0))|vsucc(v1)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f2262])).
151.76/19.40	fof(f4836,plain,(
151.76/19.40	  spl0_38|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f4835,f4832,f3096])).
151.76/19.40	fof(f4866,plain,(
151.76/19.40	  spl0_39 <=> ~less(X0,X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4871,plain,(
151.76/19.40	  spl0_40 <=> ~less(vplus(X0,X0),X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f4874,plain,(
151.76/19.40	  ![X0]: (~less(vplus(X0,X0),X0)|vsucc(v1)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f2470])).
151.76/19.40	fof(f4875,plain,(
151.76/19.40	  spl0_40|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f4874,f4871,f3096])).
151.76/19.40	fof(f4998,plain,(
151.76/19.40	  spl0_42 <=> greater(vsucc(X0),X1)|~greater(vsucc(X0),X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f5001,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(vsucc(X0),X1)|~geq(X2,X2)|~greater(vsucc(X0),X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f264,f258])).
151.76/19.40	fof(f5002,plain,(
151.76/19.40	  spl0_42|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f5001,f4998,f219])).
151.76/19.40	fof(f5067,plain,(
151.76/19.40	  spl0_44 <=> ~leq(vplus(X0,X0),X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f5070,plain,(
151.76/19.40	  ![X0]: (~leq(vplus(X0,X0),X0)|vsucc(v1)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f2489])).
151.76/19.40	fof(f5071,plain,(
151.76/19.40	  spl0_44|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f5070,f5067,f3096])).
151.76/19.40	fof(f5108,plain,(
151.76/19.40	  spl0_46 <=> greater(X0,vsucc(X1))|~greater(X0,vsucc(X1))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f5111,plain,(
151.76/19.40	  ![X0,X1,X2]: (greater(X0,vsucc(X1))|~geq(X2,X2)|~greater(X0,vsucc(X1)))),
151.76/19.40	  inference(resolution,[status(thm)],[f265,f259])).
151.76/19.40	fof(f5112,plain,(
151.76/19.40	  spl0_46|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f5111,f5108,f219])).
151.76/19.40	fof(f7012,plain,(
151.76/19.40	  spl0_47 <=> v1=vskolem2(vsucc(v1))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f7015,plain,(
151.76/19.40	  v1=vskolem2(vsucc(v1))|vsucc(v1)=v1),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1653,f1739])).
151.76/19.40	fof(f7016,plain,(
151.76/19.40	  spl0_47|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f7015,f7012,f3096])).
151.76/19.40	fof(f7045,plain,(
151.76/19.40	  spl0_48 <=> vsucc(v1)=vsucc(v1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f7048,plain,(
151.76/19.40	  v1=vsucc(v1)|vsucc(v1)=vsucc(v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1653,f1833])).
151.76/19.40	fof(f7049,plain,(
151.76/19.40	  spl0_28|spl0_48),
151.76/19.40	  inference(split_clause,[status(thm)],[f7048,f3096,f7045])).
151.76/19.40	fof(f7066,plain,(
151.76/19.40	  ![X0]: (sk0_0(X0,v1)=vskolem2(X0)|v1=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1833,f563])).
151.76/19.40	fof(f7067,plain,(
151.76/19.40	  ![X0]: (~vsucc(X0)=sk0_0(X0,v1)|v1=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1833,f912])).
151.76/19.40	fof(f7122,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vmul(X0,X1))=X1|v1=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1833,f920])).
151.76/19.40	fof(f7136,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(X0,vmul(X1,X2))=X2|v1=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1833,f1157])).
151.76/19.40	fof(f7156,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vplus(vmul(X0,X1),X2)=X1|v1=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1833,f1347])).
151.76/19.40	fof(f7265,plain,(
151.76/19.40	  spl0_49 <=> ~vsucc(vplus(X0,X0))=X0),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f7268,plain,(
151.76/19.40	  ![X0]: (~vsucc(vplus(X0,X0))=X0|v1=vsucc(v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f7122])).
151.76/19.40	fof(f7269,plain,(
151.76/19.40	  spl0_49|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f7268,f7265,f3096])).
151.76/19.40	fof(f7659,plain,(
151.76/19.40	  ![X0,X1,X2]: (~vsucc(vplus(X0,vmul(X1,X2)))=X2|v1=X1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f114,f7136])).
151.76/19.40	fof(f7685,plain,(
151.76/19.40	  spl0_50 <=> ~vplus(X0,vplus(X1,X1))=X1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f7688,plain,(
151.76/19.40	  ![X0,X1]: (~vplus(X0,vplus(X1,X1))=X1|v1=vsucc(v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f7136])).
151.76/19.40	fof(f7689,plain,(
151.76/19.40	  spl0_50|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f7688,f7685,f3096])).
151.76/19.40	fof(f7803,plain,(
151.76/19.40	  spl0_51 <=> ~vplus(vplus(X0,X0),X1)=X0),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f7806,plain,(
151.76/19.40	  ![X0,X1]: (~vplus(vplus(X0,X0),X1)=X0|v1=vsucc(v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f7156])).
151.76/19.40	fof(f7807,plain,(
151.76/19.40	  spl0_51|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f7806,f7803,f3096])).
151.76/19.40	fof(f9085,plain,(
151.76/19.40	  spl0_54 <=> ~greater(vsucc(X0),X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f9086,plain,(
151.76/19.40	  ![X0]: (~greater(vsucc(X0),X0)|~spl0_54)),
151.76/19.40	  inference(component_clause,[status(thm)],[f9085])).
151.76/19.40	fof(f9088,plain,(
151.76/19.40	  spl0_55 <=> ~geq(X1,X2)|greater(vsucc(X1),X2)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f9089,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,X1)|greater(vsucc(X0),X1)|~spl0_55)),
151.76/19.40	  inference(component_clause,[status(thm)],[f9088])).
151.76/19.40	fof(f9091,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(vsucc(X0),X0)|~geq(X1,X2)|greater(vsucc(X1),X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f309,f264])).
151.76/19.40	fof(f9092,plain,(
151.76/19.40	  spl0_54|spl0_55),
151.76/19.40	  inference(split_clause,[status(thm)],[f9091,f9085,f9088])).
151.76/19.40	fof(f9127,plain,(
151.76/19.40	  $false|~spl0_54),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f9086,f292])).
151.76/19.40	fof(f9128,plain,(
151.76/19.40	  ~spl0_54),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f9127])).
151.76/19.40	fof(f9338,plain,(
151.76/19.40	  spl0_57 <=> ~geq(vsucc(X0),X0)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f9339,plain,(
151.76/19.40	  ![X0]: (~geq(vsucc(X0),X0)|~spl0_57)),
151.76/19.40	  inference(component_clause,[status(thm)],[f9338])).
151.76/19.40	fof(f9341,plain,(
151.76/19.40	  spl0_58 <=> ~greater(X1,X2)|greater(vsucc(X1),X2)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f9379,plain,(
151.76/19.40	  ![X0]: (~leq(X0,vsucc(X0))|~spl0_57)),
151.76/19.40	  inference(resolution,[status(thm)],[f9339,f113])).
151.76/19.40	fof(f9380,plain,(
151.76/19.40	  $false|~spl0_57),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f9379,f1741])).
151.76/19.40	fof(f9381,plain,(
151.76/19.40	  ~spl0_57),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f9380])).
151.76/19.40	fof(f10076,plain,(
151.76/19.40	  ![X0]: (v1=X0|X0=vsucc(vskolem2(X0))|v1=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f7066,f1833])).
151.76/19.40	fof(f10077,plain,(
151.76/19.40	  ![X0]: (X0=vsucc(vskolem2(X0))|v1=X0)),
151.76/19.40	  inference(equivalent_factor,[status(esa)],[f10076])).
151.76/19.40	fof(f10668,plain,(
151.76/19.40	  spl0_65 <=> vsucc(vsucc(v1))=v1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f10671,plain,(
151.76/19.40	  ~vsucc(vsucc(v1))=v1|v1=vsucc(v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1653,f7067])).
151.76/19.40	fof(f10672,plain,(
151.76/19.40	  ~spl0_65|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f10671,f10668,f3096])).
151.76/19.40	fof(f15886,plain,(
151.76/19.40	  spl0_72 <=> greater(vmul(X0,X1),X2)|~greater(vmul(X0,X1),X2)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f16031,plain,(
151.76/19.40	  ![X0,X1]: (greater(v1,X0)|~greater(X1,vmul(X0,X1)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f190,f373])).
151.76/19.40	fof(f16032,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,vmul(X1,X0)))),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f16031,f2796])).
151.76/19.40	fof(f16058,plain,(
151.76/19.40	  spl0_73 <=> ~greater(X0,vmul(X1,X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f16072,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,vmul(X0,X1)))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f115,f16032])).
151.76/19.40	fof(f16091,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,vmul(X1,vmul(X0,X2))))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f270,f16072])).
151.76/19.40	fof(f16271,plain,(
151.76/19.40	  spl0_74 <=> greater(X0,vmul(X1,X2))|~greater(X0,vmul(X1,X2))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f21975,plain,(
151.76/19.40	  spl0_76 <=> ~greater(X0,vplus(X1,vsucc(X0)))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f21978,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,vplus(X1,vsucc(X0)))|~geq(v1,X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f2166,f225])).
151.76/19.40	fof(f21979,plain,(
151.76/19.40	  spl0_76|spl0_16),
151.76/19.40	  inference(split_clause,[status(thm)],[f21978,f21975,f2142])).
151.76/19.40	fof(f22023,plain,(
151.76/19.40	  $false|~spl0_16),
151.76/19.40	  inference(resolution,[status(thm)],[f2143,f204])).
151.76/19.40	fof(f22024,plain,(
151.76/19.40	  ~spl0_16),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f22023])).
151.76/19.40	fof(f23792,plain,(
151.76/19.40	  spl0_78 <=> greater(vsucc(v1),v1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f23794,plain,(
151.76/19.40	  ~greater(vsucc(v1),v1)|spl0_78),
151.76/19.40	  inference(component_clause,[status(thm)],[f23792])).
151.76/19.40	fof(f23795,plain,(
151.76/19.40	  spl0_79 <=> ~greater(X0,X1)|greater(vplus(X0,X0),X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f23798,plain,(
151.76/19.40	  ![X0,X1]: (~greater(vsucc(v1),v1)|~greater(X0,X1)|greater(vplus(X0,X0),X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f415])).
151.76/19.40	fof(f23799,plain,(
151.76/19.40	  ~spl0_78|spl0_79),
151.76/19.40	  inference(split_clause,[status(thm)],[f23798,f23792,f23795])).
151.76/19.40	fof(f23802,plain,(
151.76/19.40	  $false|spl0_78),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f23794,f292])).
151.76/19.40	fof(f23803,plain,(
151.76/19.40	  spl0_78),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f23802])).
151.76/19.40	fof(f24063,plain,(
151.76/19.40	  spl0_80 <=> greater(X0,v1)|~greater(vmul(X0,X1),X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f25764,plain,(
151.76/19.40	  spl0_82 <=> ~less(X0,X1)|~greater(X0,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f25775,plain,(
151.76/19.40	  ![X0,X1,X2]: (~less(X0,X1)|~greater(X0,X1)|~geq(X2,X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f448,f160])).
151.76/19.40	fof(f25776,plain,(
151.76/19.40	  spl0_82|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f25775,f25764,f219])).
151.76/19.40	fof(f33651,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vsucc(vmul(X0,X1)))=X1|v1=X0)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f10077,f2860])).
151.76/19.40	fof(f34867,plain,(
151.76/19.40	  spl0_87 <=> ~vsucc(vsucc(vplus(X0,X0)))=X0),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f34870,plain,(
151.76/19.40	  ![X0]: (~vsucc(vsucc(vplus(X0,X0)))=X0|v1=vsucc(v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f33651])).
151.76/19.40	fof(f34871,plain,(
151.76/19.40	  spl0_87|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f34870,f34867,f3096])).
151.76/19.40	fof(f36834,plain,(
151.76/19.40	  spl0_88 <=> vskolem2(vmul(vsucc(v1),v1))=v1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f36837,plain,(
151.76/19.40	  spl0_89 <=> vmul(vsucc(v1),v1)=v1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f36838,plain,(
151.76/19.40	  vmul(vsucc(v1),v1)=v1|~spl0_89),
151.76/19.40	  inference(component_clause,[status(thm)],[f36837])).
151.76/19.40	fof(f36840,plain,(
151.76/19.40	  vskolem2(vmul(vsucc(v1),v1))=v1|vmul(vsucc(v1),v1)=v1),
151.76/19.40	  inference(paramodulation,[status(thm)],[f1739,f3178])).
151.76/19.40	fof(f36841,plain,(
151.76/19.40	  spl0_88|spl0_89),
151.76/19.40	  inference(split_clause,[status(thm)],[f36840,f36834,f36837])).
151.76/19.40	fof(f36873,plain,(
151.76/19.40	  spl0_90 <=> vmul(vsucc(v1),v1)=vsucc(v1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f36876,plain,(
151.76/19.40	  v1=vmul(vsucc(v1),v1)|vmul(vsucc(v1),v1)=vsucc(v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f3178,f1833])).
151.76/19.40	fof(f36877,plain,(
151.76/19.40	  spl0_89|spl0_90),
151.76/19.40	  inference(split_clause,[status(thm)],[f36876,f36837,f36873])).
151.76/19.40	fof(f36890,plain,(
151.76/19.40	  spl0_91 <=> vsucc(vmul(vsucc(v1),v1))=v1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f36893,plain,(
151.76/19.40	  ~vsucc(vmul(vsucc(v1),v1))=v1|v1=vmul(vsucc(v1),v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f3178,f7067])).
151.76/19.40	fof(f36894,plain,(
151.76/19.40	  ~spl0_91|spl0_89),
151.76/19.40	  inference(split_clause,[status(thm)],[f36893,f36890,f36837])).
151.76/19.40	fof(f36902,plain,(
151.76/19.40	  vsucc(v1)=v1|~spl0_89),
151.76/19.40	  inference(forward_demodulation,[status(thm)],[f190,f36838])).
151.76/19.40	fof(f36903,plain,(
151.76/19.40	  $false|~spl0_89),
151.76/19.40	  inference(forward_subsumption_resolution,[status(thm)],[f36902,f63])).
151.76/19.40	fof(f36904,plain,(
151.76/19.40	  ~spl0_89),
151.76/19.40	  inference(contradiction_clause,[status(thm)],[f36903])).
151.76/19.40	fof(f37737,plain,(
151.76/19.40	  spl0_92 <=> ~vmul(vsucc(X0),vplus(X1,X1))=X1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f37740,plain,(
151.76/19.40	  ![X0,X1]: (~vmul(vsucc(X0),vplus(X1,X1))=X1|vsucc(v1)=v1)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f3061,f2811])).
151.76/19.40	fof(f37741,plain,(
151.76/19.40	  spl0_92|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f37740,f37737,f3096])).
151.76/19.40	fof(f45910,plain,(
151.76/19.40	  spl0_97 <=> ~vsucc(vplus(X0,vplus(X1,X1)))=X1),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f45913,plain,(
151.76/19.40	  ![X0,X1]: (~vsucc(vplus(X0,vplus(X1,X1)))=X1|v1=vsucc(v1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f7659])).
151.76/19.40	fof(f45914,plain,(
151.76/19.40	  spl0_97|spl0_28),
151.76/19.40	  inference(split_clause,[status(thm)],[f45913,f45910,f3096])).
151.76/19.40	fof(f47262,plain,(
151.76/19.40	  spl0_98 <=> ~greater(X0,vmul(X0,X1))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f47265,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,vmul(X0,X1))|~geq(v1,X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f522,f16091])).
151.76/19.40	fof(f47266,plain,(
151.76/19.40	  spl0_98|spl0_16),
151.76/19.40	  inference(split_clause,[status(thm)],[f47265,f47262,f2142])).
151.76/19.40	fof(f47291,plain,(
151.76/19.40	  ![X0,X1]: (~greater(v1,X0)|~geq(v1,X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f522,f2796])).
151.76/19.40	fof(f47292,plain,(
151.76/19.40	  spl0_18|spl0_16),
151.76/19.40	  inference(split_clause,[status(thm)],[f47291,f2150,f2142])).
151.76/19.40	fof(f48370,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,vmul(vsucc(X0),X1))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f9089,f16072])).
151.76/19.40	fof(f48411,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,vplus(X1,X0))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f9089,f2815])).
151.76/19.40	fof(f48413,plain,(
151.76/19.40	  ![X0,X1,X2]: (~geq(X0,vplus(X1,vplus(X2,X0)))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f9089,f2925])).
151.76/19.40	fof(f48461,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,vmul(vsucc(X1),X0))|~spl0_55)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f135,f48411])).
151.76/19.40	fof(f48603,plain,(
151.76/19.40	  spl0_104 <=> greater(vplus(X0,X0),X1)|~geq(X0,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f48606,plain,(
151.76/19.40	  ![X0,X1]: (greater(vplus(X0,X0),X1)|~greater(vsucc(v1),v1)|~geq(X0,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f3061,f526])).
151.76/19.40	fof(f48607,plain,(
151.76/19.40	  spl0_104|~spl0_78),
151.76/19.40	  inference(split_clause,[status(thm)],[f48606,f48603,f23792])).
151.76/19.40	fof(f48622,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,vmul(vsucc(X0),X1))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f48370,f186])).
151.76/19.40	fof(f48741,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,vmul(X1,X0))|X1=v1|~spl0_55)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f131,f48461])).
151.76/19.40	fof(f49031,plain,(
151.76/19.40	  ![X0,X1]: (~geq(X0,vmul(vsucc(vsucc(X0)),X1))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f48622,f9089])).
151.76/19.40	fof(f49542,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(vmul(X0,X1),X1)|~geq(X2,X2)|greater(X0,v1))),
151.76/19.40	  inference(resolution,[status(thm)],[f534,f417])).
151.76/19.40	fof(f49543,plain,(
151.76/19.40	  spl0_80|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f49542,f24063,f219])).
151.76/19.40	fof(f49544,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (~greater(vmul(X0,X1),X2)|~geq(X3,X3)|greater(vmul(X0,X1),X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f534,f372])).
151.76/19.40	fof(f49545,plain,(
151.76/19.40	  spl0_72|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f49544,f15886,f219])).
151.76/19.40	fof(f49922,plain,(
151.76/19.40	  ![X0,X1,X2]: (~geq(X0,vplus(X1,vplus(X0,X2)))|~spl0_55)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f187,f48413])).
151.76/19.40	fof(f50902,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,vmul(X1,X0))|~geq(X2,X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f539,f16032])).
151.76/19.40	fof(f50903,plain,(
151.76/19.40	  spl0_73|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f50902,f16058,f219])).
151.76/19.40	fof(f50915,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (~greater(X0,vmul(X1,X2))|~geq(X3,X3)|greater(X0,vmul(X1,X2)))),
151.76/19.40	  inference(resolution,[status(thm)],[f539,f375])).
151.76/19.40	fof(f50916,plain,(
151.76/19.40	  spl0_74|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f50915,f16271,f219])).
151.76/19.40	fof(f51594,plain,(
151.76/19.40	  spl0_105 <=> ~geq(X0,vplus(X0,X0))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f51597,plain,(
151.76/19.40	  ![X0]: (~geq(X0,vplus(X0,X0))|vsucc(v1)=v1|~spl0_55)),
151.76/19.40	  inference(paramodulation,[status(thm)],[f418,f48741])).
151.76/19.40	fof(f51598,plain,(
151.76/19.40	  spl0_105|spl0_28|~spl0_55),
151.76/19.40	  inference(split_clause,[status(thm)],[f51597,f51594,f3096,f9088])).
151.76/19.40	fof(f52035,plain,(
151.76/19.40	  ![X0,X1]: (~geq(v1,X0)|~geq(X1,vsucc(X1))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f546,f48411])).
151.76/19.40	fof(f52036,plain,(
151.76/19.40	  spl0_16|spl0_17|~spl0_55),
151.76/19.40	  inference(split_clause,[status(thm)],[f52035,f2142,f2147,f9088])).
151.76/19.40	fof(f52038,plain,(
151.76/19.40	  spl0_106 <=> ~geq(X1,vplus(X2,vsucc(X1)))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f52041,plain,(
151.76/19.40	  ![X0,X1,X2]: (~geq(v1,X0)|~geq(X1,vplus(X2,vsucc(X1)))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f546,f48413])).
151.76/19.40	fof(f52042,plain,(
151.76/19.40	  spl0_16|spl0_106|~spl0_55),
151.76/19.40	  inference(split_clause,[status(thm)],[f52041,f2142,f52038,f9088])).
151.76/19.40	fof(f52043,plain,(
151.76/19.40	  spl0_107 <=> ~geq(X1,vplus(vsucc(X1),X2))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f52046,plain,(
151.76/19.40	  ![X0,X1,X2]: (~geq(v1,X0)|~geq(X1,vplus(vsucc(X1),X2))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f546,f49922])).
151.76/19.40	fof(f52047,plain,(
151.76/19.40	  spl0_16|spl0_107|~spl0_55),
151.76/19.40	  inference(split_clause,[status(thm)],[f52046,f2142,f52043,f9088])).
151.76/19.40	fof(f52071,plain,(
151.76/19.40	  spl0_108 <=> geq(vsucc(X0),vsucc(X1))|~geq(X0,X1)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f52074,plain,(
151.76/19.40	  ![X0,X1]: (geq(vsucc(X0),vsucc(X1))|~geq(v1,v1)|~geq(X0,X1))),
151.76/19.40	  inference(paramodulation,[status(thm)],[f100,f546])).
151.76/19.40	fof(f52075,plain,(
151.76/19.40	  spl0_108|~spl0_11),
151.76/19.40	  inference(split_clause,[status(thm)],[f52074,f52071,f1721])).
151.76/19.40	fof(f53206,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,vmul(vsucc(vsucc(X0)),X1))|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f49031,f186])).
151.76/19.40	fof(f53761,plain,(
151.76/19.40	  spl0_109 <=> ~greater(X0,vsucc(vsucc(X0)))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f53764,plain,(
151.76/19.40	  ![X0,X1]: (~greater(X0,vsucc(vsucc(X0)))|~geq(v1,X1)|~spl0_55)),
151.76/19.40	  inference(resolution,[status(thm)],[f53206,f537])).
151.76/19.40	fof(f53765,plain,(
151.76/19.40	  spl0_109|spl0_16|~spl0_55),
151.76/19.40	  inference(split_clause,[status(thm)],[f53764,f53761,f2142,f9088])).
151.76/19.40	fof(f65890,plain,(
151.76/19.40	  ![X0,X1,X2]: (~geq(X0,X0)|~greater(X1,vplus(X2,X1)))),
151.76/19.40	  inference(resolution,[status(thm)],[f596,f1803])).
151.76/19.40	fof(f65891,plain,(
151.76/19.40	  spl0_3|spl0_34),
151.76/19.40	  inference(split_clause,[status(thm)],[f65890,f219,f4341])).
151.76/19.40	fof(f66140,plain,(
151.76/19.40	  spl0_111 <=> greater(vplus(X0,X1),X2)|~greater(vplus(X0,X1),X2)),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f66143,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(vplus(X0,X1),X2)|~geq(X3,X3)|~greater(vplus(X0,X1),X2))),
151.76/19.40	  inference(resolution,[status(thm)],[f601,f595])).
151.76/19.40	fof(f66144,plain,(
151.76/19.40	  spl0_111|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f66143,f66140,f219])).
151.76/19.40	fof(f66264,plain,(
151.76/19.40	  spl0_113 <=> greater(X0,vplus(X1,X2))|~greater(X0,vplus(X1,X2))),
151.76/19.40	  introduced(split_symbol_definition)).
151.76/19.40	fof(f66267,plain,(
151.76/19.40	  ![X0,X1,X2,X3]: (greater(X0,vplus(X1,X2))|~geq(X3,X3)|~greater(X0,vplus(X1,X2)))),
151.76/19.40	  inference(resolution,[status(thm)],[f602,f596])).
151.76/19.40	fof(f66268,plain,(
151.76/19.40	  spl0_113|spl0_3),
151.76/19.40	  inference(split_clause,[status(thm)],[f66267,f66264,f219])).
151.76/19.40	fof(f73288,plain,(
151.76/19.40	  ![X0,X1,X2]: (~greater(X0,X1)|~greater(vsucc(X2),X2)|greater(vsucc(X0),X1))),
151.76/19.40	  inference(resolution,[status(thm)],[f628,f264])).
151.76/19.40	fof(f73289,plain,(
151.76/19.40	  spl0_58|spl0_54),
151.76/19.40	  inference(split_clause,[status(thm)],[f73288,f9341,f9085])).
151.76/19.40	fof(f81567,plain,(
151.76/19.40	  ~greater(vmul(vd526,vd529),vmul(vd526,vd530))|~spl0_4),
151.76/19.40	  inference(forward_demodulation,[status(thm)],[f646,f665])).
151.76/19.40	fof(f81573,plain,(
151.76/19.40	  spl0_118 <=> geq(vd526,vd526)),
151.76/19.40	  introduced(split_symbol_definition)).
152.01/19.58	fof(f81575,plain,(
152.01/19.58	  ~geq(vd526,vd526)|spl0_118),
152.01/19.58	  inference(component_clause,[status(thm)],[f81573])).
152.01/19.58	fof(f81576,plain,(
152.01/19.58	  ~greater(vd529,vd530)|~geq(vd526,vd526)|~spl0_4),
152.01/19.58	  inference(resolution,[status(thm)],[f81567,f159])).
152.01/19.58	fof(f81577,plain,(
152.01/19.58	  ~spl0_7|~spl0_118|~spl0_4),
152.01/19.58	  inference(split_clause,[status(thm)],[f81576,f660,f81573,f645])).
152.01/19.58	fof(f81648,plain,(
152.01/19.58	  $false|spl0_118),
152.01/19.58	  inference(forward_subsumption_resolution,[status(thm)],[f81575,f204])).
152.01/19.58	fof(f81649,plain,(
152.01/19.58	  spl0_118),
152.01/19.58	  inference(contradiction_clause,[status(thm)],[f81648])).
152.01/19.58	fof(f88918,plain,(
152.01/19.58	  ![X0,X1]: (~less(X0,X0)|less(X1,X1))),
152.01/19.58	  inference(resolution,[status(thm)],[f697,f696])).
152.01/19.58	fof(f88919,plain,(
152.01/19.58	  spl0_39|spl0_35),
152.01/19.58	  inference(split_clause,[status(thm)],[f88918,f4866,f4497])).
152.01/19.58	fof(f89010,plain,(
152.01/19.58	  $false|~spl0_35),
152.01/19.58	  inference(forward_subsumption_resolution,[status(thm)],[f4498,f199])).
152.01/19.58	fof(f89011,plain,(
152.01/19.58	  ~spl0_35),
152.01/19.58	  inference(contradiction_clause,[status(thm)],[f89010])).
152.01/19.58	fof(f100680,plain,(
152.01/19.58	  ~leq(vmul(vd527,vd529),vmul(vd526,vd529))|~spl0_6),
152.01/19.58	  inference(forward_demodulation,[status(thm)],[f658,f785])).
152.01/19.58	fof(f100684,plain,(
152.01/19.58	  ~less(vd527,vd526)|~spl0_6),
152.01/19.58	  inference(resolution,[status(thm)],[f100680,f251])).
152.01/19.58	fof(f100687,plain,(
152.01/19.58	  ~greater(vd526,vd527)|~spl0_6),
152.01/19.58	  inference(resolution,[status(thm)],[f100684,f140])).
152.01/19.58	fof(f100688,plain,(
152.01/19.58	  $false|~spl0_5|~spl0_6),
152.01/19.58	  inference(forward_subsumption_resolution,[status(thm)],[f100687,f649])).
152.01/19.58	fof(f100689,plain,(
152.01/19.58	  ~spl0_5|~spl0_6),
152.01/19.58	  inference(contradiction_clause,[status(thm)],[f100688])).
152.01/19.58	fof(f101178,plain,(
152.01/19.58	  ~greater(vd526,vd527)|~greater(vd529,vd530)),
152.01/19.58	  inference(resolution,[status(thm)],[f786,f121])).
152.01/19.58	fof(f101179,plain,(
152.01/19.58	  ~spl0_5|~spl0_7),
152.01/19.58	  inference(split_clause,[status(thm)],[f101178,f648,f660])).
152.01/19.58	fof(f101234,plain,(
152.01/19.58	  $false),
152.01/19.58	  inference(sat_refutation,[status(thm)],[f223,f341,f344,f652,f664,f784,f1725,f1738,f2222,f2298,f2728,f3103,f3239,f3576,f3591,f4313,f4506,f4602,f4836,f4875,f5002,f5071,f5112,f7016,f7049,f7269,f7689,f7807,f9092,f9128,f9381,f10672,f21979,f22024,f23799,f23803,f25776,f34871,f36841,f36877,f36894,f36904,f37741,f45914,f47266,f47292,f48607,f49543,f49545,f50903,f50916,f51598,f52036,f52042,f52047,f52075,f53765,f65891,f66144,f66268,f73289,f81577,f81649,f88919,f89011,f100689,f101179])).
152.01/19.58	% SZS output end CNFRefutation for theBenchmark
152.01/19.58	% Elapsed time: 19.031783 seconds
152.01/19.58	% CPU time: 151.600000 seconds
152.01/19.58	% Memory used: 265.944 MB
152.01/19.60	EOF