%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM842+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:55 PM UTC 2026
% Result : Theorem 5.46s 1.17s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM842+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Mon Sep 21 03:12:06 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 5.46/1.17 % Refutation found
% 5.46/1.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.46/1.17 % SZS output start CNFRefutation for theBenchmark
% 5.46/1.17 fof(f1,conjecture,(
% 5.46/1.17 greater(vplus(vd353,vd355),vplus(vd354,vd356)) ),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f2,negated_conjecture,(
% 5.46/1.17 ~(greater(vplus(vd353,vd355),vplus(vd354,vd356)) )),
% 5.46/1.17 inference(negated_conjecture,[status(cth)],[f1])).
% 5.46/1.17 fof(f3,axiom,(
% 5.46/1.17 ( ( greater(vd355,vd356)& geq(vd353,vd354) )| ( geq(vd355,vd356)& greater(vd353,vd354) ) ) ),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f4,axiom,(
% 5.46/1.17 (! [Vd337,Vd338,Vd340,Vd341] :( ( greater(Vd340,Vd341)& greater(Vd337,Vd338) )=> greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f5,axiom,(
% 5.46/1.17 (! [Vd328,Vd329,Vd330] :( less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))=> less(Vd328,Vd329) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f10,axiom,(
% 5.46/1.17 (! [Vd301,Vd302,Vd303] :( greater(Vd301,Vd302)=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f11,axiom,(
% 5.46/1.17 (! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f15,axiom,(
% 5.46/1.17 (! [Vd258,Vd259] :( leq(Vd258,Vd259)=> geq(Vd259,Vd258) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f17,axiom,(
% 5.46/1.17 (! [Vd249,Vd250] :( leq(Vd250,Vd249)<=> ( less(Vd250,Vd249)| Vd250 = Vd249 ) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f18,axiom,(
% 5.46/1.17 (! [Vd244,Vd245] :( geq(Vd245,Vd244)<=> ( greater(Vd245,Vd244)| Vd245 = Vd244 ) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f20,axiom,(
% 5.46/1.17 (! [Vd208,Vd209] :( greater(Vd208,Vd209)=> less(Vd209,Vd208) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f22,axiom,(
% 5.46/1.17 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ less(Vd203,Vd204) ) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f26,axiom,(
% 5.46/1.17 (! [Vd193,Vd194] :( greater(Vd194,Vd193)<=> (? [Vd196] : Vd194 = vplus(Vd193,Vd196) )) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f36,axiom,(
% 5.46/1.17 (! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) )),
% 5.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.17 fof(f43,plain,(
% 5.46/1.17 ~greater(vplus(vd353,vd355),vplus(vd354,vd356))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f2])).
% 5.46/1.17 fof(f44,definition,(
% 5.46/1.17 sP0_prd<=>(greater(vd355,vd356)&geq(vd353,vd354))),
% 5.46/1.17 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 5.46/1.17 fof(f45,plain,(
% 5.46/1.17 sP0_prd|(geq(vd355,vd356)&greater(vd353,vd354))),
% 5.46/1.17 inference(formula_renaming,[status(thm)],[f3,f44])).
% 5.46/1.17 fof(f46,plain,(
% 5.46/1.17 sP0_prd|geq(vd355,vd356)),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f45])).
% 5.46/1.17 fof(f47,plain,(
% 5.46/1.17 sP0_prd|greater(vd353,vd354)),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f45])).
% 5.46/1.17 fof(f48,plain,(
% 5.46/1.17 ![Vd337,Vd338,Vd340,Vd341]: ((~greater(Vd340,Vd341)|~greater(Vd337,Vd338))|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)))),
% 5.46/1.17 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 5.46/1.17 fof(f49,plain,(
% 5.46/1.17 ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(X2,X3)|greater(vplus(X2,X0),vplus(X3,X1)))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f48])).
% 5.46/1.17 fof(f50,plain,(
% 5.46/1.17 ![Vd328,Vd329,Vd330]: (~less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|less(Vd328,Vd329))),
% 5.46/1.17 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 5.46/1.17 fof(f51,plain,(
% 5.46/1.17 ![Vd328,Vd329]: ((![Vd330]: ~less(vplus(Vd328,Vd330),vplus(Vd329,Vd330)))|less(Vd328,Vd329))),
% 5.46/1.17 inference(miniscoping,[status(thm)],[f50])).
% 5.46/1.17 fof(f52,plain,(
% 5.46/1.17 ![X0,X1,X2]: (~less(vplus(X0,X1),vplus(X2,X1))|less(X0,X2))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f51])).
% 5.46/1.17 fof(f65,plain,(
% 5.46/1.17 ![Vd301,Vd302,Vd303]: (~greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)))),
% 5.46/1.17 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 5.46/1.17 fof(f66,plain,(
% 5.46/1.17 ![Vd301,Vd302]: (~greater(Vd301,Vd302)|(![Vd303]: greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))),
% 5.46/1.17 inference(miniscoping,[status(thm)],[f65])).
% 5.46/1.17 fof(f67,plain,(
% 5.46/1.17 ![X0,X1,X2]: (~greater(X0,X1)|greater(vplus(X0,X2),vplus(X1,X2)))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f66])).
% 5.46/1.17 fof(f68,plain,(
% 5.46/1.17 ![X0,X1]: (greater(vplus(X0,X1),X0))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f11])).
% 5.46/1.17 fof(f79,plain,(
% 5.46/1.17 ![Vd258,Vd259]: (~leq(Vd258,Vd259)|geq(Vd259,Vd258))),
% 5.46/1.17 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 5.46/1.17 fof(f80,plain,(
% 5.46/1.17 ![X0,X1]: (~leq(X0,X1)|geq(X1,X0))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f79])).
% 5.46/1.17 fof(f83,plain,(
% 5.46/1.17 ![Vd249,Vd250]: ((~leq(Vd250,Vd249)|(less(Vd250,Vd249)|Vd250=Vd249))&(leq(Vd250,Vd249)|(~less(Vd250,Vd249)&~Vd250=Vd249)))),
% 5.46/1.17 inference(NNF_transformation,[status(thm)],[f17])).
% 5.46/1.17 fof(f84,plain,(
% 5.46/1.17 (![Vd249,Vd250]: (~leq(Vd250,Vd249)|(less(Vd250,Vd249)|Vd250=Vd249)))&(![Vd249,Vd250]: (leq(Vd250,Vd249)|(~less(Vd250,Vd249)&~Vd250=Vd249)))),
% 5.46/1.17 inference(miniscoping,[status(thm)],[f83])).
% 5.46/1.17 fof(f86,plain,(
% 5.46/1.17 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f84])).
% 5.46/1.17 fof(f88,plain,(
% 5.46/1.17 ![Vd244,Vd245]: ((~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244))&(geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 5.46/1.17 inference(NNF_transformation,[status(thm)],[f18])).
% 5.46/1.17 fof(f89,plain,(
% 5.46/1.17 (![Vd244,Vd245]: (~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244)))&(![Vd244,Vd245]: (geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 5.46/1.17 inference(miniscoping,[status(thm)],[f88])).
% 5.46/1.17 fof(f90,plain,(
% 5.46/1.17 ![X0,X1]: (~geq(X0,X1)|greater(X0,X1)|X0=X1)),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f89])).
% 5.46/1.17 fof(f95,plain,(
% 5.46/1.17 ![Vd208,Vd209]: (~greater(Vd208,Vd209)|less(Vd209,Vd208))),
% 5.46/1.17 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 5.46/1.17 fof(f96,plain,(
% 5.46/1.17 ![X0,X1]: (~greater(X0,X1)|less(X1,X0))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f95])).
% 5.46/1.17 fof(f98,plain,(
% 5.46/1.17 ![X0,X1]: (~X0=X1|~less(X0,X1))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f22])).
% 5.46/1.17 fof(f106,plain,(
% 5.46/1.17 ![Vd193,Vd194]: ((~greater(Vd194,Vd193)|(?[Vd196]: Vd194=vplus(Vd193,Vd196)))&(greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 5.46/1.17 inference(NNF_transformation,[status(thm)],[f26])).
% 5.46/1.17 fof(f107,plain,(
% 5.46/1.17 (![Vd193,Vd194]: (~greater(Vd194,Vd193)|(?[Vd196]: Vd194=vplus(Vd193,Vd196))))&(![Vd193,Vd194]: (greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 5.46/1.17 inference(miniscoping,[status(thm)],[f106])).
% 5.46/1.17 fof(f108,plain,(
% 5.46/1.17 (![Vd193,Vd194]: (~greater(Vd194,Vd193)|Vd194=vplus(Vd193,sK1_skl(Vd194,Vd193))))&(![Vd193,Vd194]: (greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 5.46/1.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd196,sK1_skl(Vd194,Vd193))],[f107])).
% 5.46/1.17 fof(f109,plain,(
% 5.46/1.17 ![X0,X1]: (~greater(X0,X1)|X0=vplus(X1,sK1_skl(X0,X1)))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f108])).
% 5.46/1.17 fof(f125,plain,(
% 5.46/1.17 ![X0,X1,X2]: (vplus(vplus(X0,X1),X2)=vplus(X0,vplus(X1,X2)))),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f36])).
% 5.46/1.17 fof(f137,plain,(
% 5.46/1.17 (~sP0_prd|(greater(vd355,vd356)&geq(vd353,vd354)))&(sP0_prd|(~greater(vd355,vd356)|~geq(vd353,vd354)))),
% 5.46/1.17 inference(NNF_transformation,[status(thm)],[f44])).
% 5.46/1.17 fof(f138,plain,(
% 5.46/1.17 ~sP0_prd|greater(vd355,vd356)),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f137])).
% 5.46/1.17 fof(f139,plain,(
% 5.46/1.17 ~sP0_prd|geq(vd353,vd354)),
% 5.46/1.17 inference(cnf_transformation,[status(thm)],[f137])).
% 5.46/1.17 fof(f143,plain,(
% 5.46/1.17 ![X0]: (~less(X0,X0))),
% 5.46/1.17 inference(destructive_equality_resolution,[status(thm)],[f98])).
% 5.46/1.17 fof(f152,plain,(
% 5.46/1.17 ~greater(vd355,vd356)|~greater(vd353,vd354)),
% 5.46/1.17 inference(resolution,[status(thm)],[f49,f43])).
% 5.46/1.17 fof(f190,plain,(
% 5.46/1.17 ![X0]: (greater(vplus(vd353,X0),vplus(vd354,X0))|sP0_prd)),
% 5.46/1.17 inference(resolution,[status(thm)],[f67,f47])).
% 5.46/1.17 fof(f231,plain,(
% 5.46/1.17 ![X0,X1,X2]: (greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)))),
% 5.46/1.17 inference(paramodulation,[status(thm)],[f125,f68])).
% 5.46/1.17 fof(f240,plain,(
% 5.46/1.17 ![X0,X1]: (~less(X0,X1)|geq(X1,X0))),
% 5.46/1.17 inference(resolution,[status(thm)],[f86,f80])).
% 5.46/1.17 fof(f243,plain,(
% 5.46/1.17 ![X0,X1,X2]: (~greater(vplus(X0,X1),vplus(X2,X1))|less(X2,X0))),
% 5.46/1.17 inference(resolution,[status(thm)],[f96,f52])).
% 5.46/1.17 fof(f424,plain,(
% 5.46/1.17 greater(vd355,vd356)|vd355=vd356|sP0_prd),
% 5.46/1.19 inference(resolution,[status(thm)],[f90,f46])).
% 5.46/1.19 fof(f427,plain,(
% 5.46/1.19 greater(vd355,vd356)|vd355=vd356),
% 5.46/1.19 inference(forward_subsumption_resolution,[status(thm)],[f424,f138])).
% 5.46/1.19 fof(f2044,plain,(
% 5.46/1.19 vd355=vd356|~greater(vd353,vd354)),
% 5.46/1.19 inference(resolution,[status(thm)],[f427,f152])).
% 5.46/1.19 fof(f2209,plain,(
% 5.46/1.19 less(vd354,vd353)|sP0_prd),
% 5.46/1.19 inference(resolution,[status(thm)],[f243,f190])).
% 5.46/1.19 fof(f2282,plain,(
% 5.46/1.19 vd355=vd356|sP0_prd),
% 5.46/1.19 inference(resolution,[status(thm)],[f2044,f47])).
% 5.46/1.19 fof(f2283,plain,(
% 5.46/1.19 vd355=vd356|geq(vd353,vd354)),
% 5.46/1.19 inference(resolution,[status(thm)],[f2282,f139])).
% 5.46/1.19 fof(f2286,plain,(
% 5.46/1.19 vd355=vd356|greater(vd353,vd354)|vd353=vd354),
% 5.46/1.19 inference(resolution,[status(thm)],[f2283,f90])).
% 5.46/1.19 fof(f2287,plain,(
% 5.46/1.19 vd355=vd356|vd353=vd354),
% 5.46/1.19 inference(forward_subsumption_resolution,[status(thm)],[f2286,f2044])).
% 5.46/1.19 fof(f2289,plain,(
% 5.46/1.19 sP0_prd|geq(vd353,vd354)),
% 5.46/1.19 inference(resolution,[status(thm)],[f2209,f240])).
% 5.46/1.19 fof(f2297,plain,(
% 5.46/1.19 geq(vd353,vd354)),
% 5.46/1.19 inference(forward_subsumption_resolution,[status(thm)],[f2289,f139])).
% 5.46/1.19 fof(f2299,plain,(
% 5.46/1.19 greater(vd353,vd354)|vd353=vd354),
% 5.46/1.19 inference(resolution,[status(thm)],[f2297,f90])).
% 5.46/1.19 fof(f2303,plain,(
% 5.46/1.19 ~greater(vplus(vd353,vd355),vplus(vd354,vd355))|vd353=vd354),
% 5.46/1.19 inference(paramodulation,[status(thm)],[f2287,f43])).
% 5.46/1.19 fof(f2536,plain,(
% 5.46/1.19 vd353=vd354|sP0_prd),
% 5.46/1.19 inference(resolution,[status(thm)],[f2303,f190])).
% 5.46/1.19 fof(f2543,plain,(
% 5.46/1.19 vd353=vd354|greater(vd355,vd356)),
% 5.46/1.19 inference(resolution,[status(thm)],[f2536,f138])).
% 5.46/1.19 fof(f2745,plain,(
% 5.46/1.19 vd353=vd354|~greater(vd353,vd354)),
% 5.46/1.19 inference(resolution,[status(thm)],[f2543,f152])).
% 5.46/1.19 fof(f2761,plain,(
% 5.46/1.19 less(vd353,vd353)|sP0_prd),
% 5.46/1.19 inference(backward_demodulation,[status(thm)],[f2804,f2209])).
% 5.46/1.19 fof(f2767,plain,(
% 5.46/1.19 ~greater(vplus(vd353,vd355),vplus(vd353,vd356))),
% 5.46/1.19 inference(backward_demodulation,[status(thm)],[f2804,f43])).
% 5.46/1.19 fof(f2804,plain,(
% 5.46/1.19 vd353=vd354),
% 5.46/1.19 inference(forward_subsumption_resolution,[status(thm)],[f2745,f2299])).
% 5.46/1.19 fof(f2806,plain,(
% 5.46/1.19 greater(vd355,vd356)),
% 5.46/1.19 inference(backward_subsumption_resolution,[status(thm)],[f138,f2807])).
% 5.46/1.19 fof(f2807,plain,(
% 5.46/1.19 sP0_prd),
% 5.46/1.19 inference(forward_subsumption_resolution,[status(thm)],[f2761,f143])).
% 5.46/1.19 fof(f2836,plain,(
% 5.46/1.19 vd355=vplus(vd356,sK1_skl(vd355,vd356))),
% 5.46/1.19 inference(resolution,[status(thm)],[f2806,f109])).
% 5.46/1.19 fof(f3011,plain,(
% 5.46/1.19 ![X0]: (greater(vplus(X0,vd355),vplus(X0,vd356)))),
% 5.46/1.19 inference(paramodulation,[status(thm)],[f2836,f231])).
% 5.46/1.19 fof(f3084,plain,(
% 5.46/1.19 $false),
% 5.46/1.19 inference(backward_subsumption_resolution,[status(thm)],[f2767,f3011])).
% 5.46/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 5.46/1.19 % Elapsed time: 0.827786 seconds
% 5.46/1.19 % CPU time: 6.212049 seconds
% 5.46/1.19 % Total memory used: 165.009 MB
% 5.46/1.19 % Net memory used: 155.427 MB
%------------------------------------------------------------------------------