TSTP Solution File: SEU418+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU418+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:42:17 EDT 2024
% Result : Theorem 171.66s 27.59s
% Output : CNFRefutation 181.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU418+4 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 19:33:00 EDT 2024
% 0.13/0.35 % CPUTime :
% 6.53/6.76 % Drodi V3.6.0
% 171.66/27.59 % Refutation found
% 171.66/27.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 171.66/27.59 % SZS output start CNFRefutation for theBenchmark
% 171.66/27.59 fof(f57,axiom,(
% 171.66/27.59 (! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) )),
% 171.66/27.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.66/27.59 fof(f86,axiom,(
% 171.66/27.59 (! [A,B] : r1_tarski(k3_xboole_0(A,B),A) )),
% 171.66/27.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.66/27.59 fof(f88,axiom,(
% 171.66/27.59 (! [A,B,C] :( ( r1_tarski(A,B)& r1_tarski(A,C) )=> r1_tarski(A,k3_xboole_0(B,C)) ) )),
% 171.66/27.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.66/27.59 fof(f700,axiom,(
% 171.66/27.59 (! [A,B] :( v1_relat_1(B)=> ( r1_tarski(A,B)=> v1_relat_1(A) ) ) )),
% 171.66/27.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.66/27.59 fof(f753,axiom,(
% 171.66/27.59 (! [A] :( v1_relat_1(A)=> (! [B] :( v1_relat_1(B)=> (! [C] :( v1_relat_1(C)=> ( r1_tarski(A,B)=> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C)) ) ) )) )) )),
% 171.66/27.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.66/27.59 fof(f71086,conjecture,(
% 171.66/27.59 (! [A] :( v1_relat_1(A)=> (! [B] :( v1_relat_1(B)=> (! [C] :( v1_relat_1(C)=> r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) )) )) )),
% 171.66/27.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.66/27.59 fof(f71087,negated_conjecture,(
% 171.66/27.59 ~((! [A] :( v1_relat_1(A)=> (! [B] :( v1_relat_1(B)=> (! [C] :( v1_relat_1(C)=> r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) )) )) ))),
% 171.66/27.59 inference(negated_conjecture,[status(cth)],[f71086])).
% 171.66/27.59 fof(f71296,plain,(
% 171.66/27.59 ![X0,X1]: (k3_xboole_0(X0,X1)=k3_xboole_0(X1,X0))),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f57])).
% 171.66/27.59 fof(f71347,plain,(
% 171.66/27.59 ![X0,X1]: (r1_tarski(k3_xboole_0(X0,X1),X0))),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f86])).
% 171.66/27.59 fof(f71351,plain,(
% 171.66/27.59 ![A,B,C]: ((~r1_tarski(A,B)|~r1_tarski(A,C))|r1_tarski(A,k3_xboole_0(B,C)))),
% 171.66/27.59 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 171.66/27.59 fof(f71352,plain,(
% 171.66/27.59 ![X0,X1,X2]: (~r1_tarski(X0,X1)|~r1_tarski(X0,X2)|r1_tarski(X0,k3_xboole_0(X1,X2)))),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f71351])).
% 171.66/27.59 fof(f72616,plain,(
% 171.66/27.59 ![A,B]: (~v1_relat_1(B)|(~r1_tarski(A,B)|v1_relat_1(A)))),
% 171.66/27.59 inference(pre_NNF_transformation,[status(esa)],[f700])).
% 171.66/27.59 fof(f72617,plain,(
% 171.66/27.59 ![B]: (~v1_relat_1(B)|(![A]: (~r1_tarski(A,B)|v1_relat_1(A))))),
% 171.66/27.59 inference(miniscoping,[status(esa)],[f72616])).
% 171.66/27.59 fof(f72618,plain,(
% 171.66/27.59 ![X0,X1]: (~v1_relat_1(X0)|~r1_tarski(X1,X0)|v1_relat_1(X1))),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f72617])).
% 171.66/27.59 fof(f72754,plain,(
% 171.66/27.59 ![A]: (~v1_relat_1(A)|(![B]: (~v1_relat_1(B)|(![C]: (~v1_relat_1(C)|(~r1_tarski(A,B)|r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C))))))))),
% 171.66/27.59 inference(pre_NNF_transformation,[status(esa)],[f753])).
% 171.66/27.59 fof(f72755,plain,(
% 171.66/27.59 ![X0,X1,X2]: (~v1_relat_1(X0)|~v1_relat_1(X1)|~v1_relat_1(X2)|~r1_tarski(X0,X1)|r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)))),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f72754])).
% 171.66/27.59 fof(f335918,plain,(
% 171.66/27.59 (?[A]: (v1_relat_1(A)&(?[B]: (v1_relat_1(B)&(?[C]: (v1_relat_1(C)&~r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C)))))))))),
% 171.66/27.59 inference(pre_NNF_transformation,[status(esa)],[f71087])).
% 171.66/27.59 fof(f335919,plain,(
% 171.66/27.59 (v1_relat_1(sk0_23834)&(v1_relat_1(sk0_23835)&(v1_relat_1(sk0_23836)&~r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k3_xboole_0(k5_relat_1(sk0_23834,sk0_23836),k5_relat_1(sk0_23835,sk0_23836))))))),
% 171.66/27.59 inference(skolemization,[status(esa)],[f335918])).
% 171.66/27.59 fof(f335920,plain,(
% 171.66/27.59 v1_relat_1(sk0_23834)),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f335919])).
% 171.66/27.59 fof(f335921,plain,(
% 171.66/27.59 v1_relat_1(sk0_23835)),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f335919])).
% 171.66/27.59 fof(f335922,plain,(
% 171.66/27.59 v1_relat_1(sk0_23836)),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f335919])).
% 171.66/27.59 fof(f335923,plain,(
% 171.66/27.59 ~r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k3_xboole_0(k5_relat_1(sk0_23834,sk0_23836),k5_relat_1(sk0_23835,sk0_23836)))),
% 171.66/27.59 inference(cnf_transformation,[status(esa)],[f335919])).
% 171.66/27.59 fof(f402612,plain,(
% 171.66/27.59 ![X0,X1]: (r1_tarski(k3_xboole_0(X0,X1),X1))),
% 171.66/27.59 inference(paramodulation,[status(thm)],[f71296,f71347])).
% 171.66/27.59 fof(f402903,plain,(
% 171.66/27.59 spl0_6188 <=> r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23834,sk0_23836))),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f402905,plain,(
% 171.66/27.59 ~r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23834,sk0_23836))|spl0_6188),
% 171.66/27.59 inference(component_clause,[status(thm)],[f402903])).
% 171.66/27.59 fof(f402906,plain,(
% 171.66/27.59 spl0_6189 <=> r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23835,sk0_23836))),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f402908,plain,(
% 171.66/27.59 ~r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23835,sk0_23836))|spl0_6189),
% 171.66/27.59 inference(component_clause,[status(thm)],[f402906])).
% 171.66/27.59 fof(f402909,plain,(
% 171.66/27.59 ~r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23834,sk0_23836))|~r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23835,sk0_23836))),
% 171.66/27.59 inference(resolution,[status(thm)],[f71352,f335923])).
% 171.66/27.59 fof(f402910,plain,(
% 171.66/27.59 ~spl0_6188|~spl0_6189),
% 171.66/27.59 inference(split_clause,[status(thm)],[f402909,f402903,f402906])).
% 171.66/27.59 fof(f411573,plain,(
% 171.66/27.59 spl0_6280 <=> v1_relat_1(sk0_23836)),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f411575,plain,(
% 171.66/27.59 ~v1_relat_1(sk0_23836)|spl0_6280),
% 171.66/27.59 inference(component_clause,[status(thm)],[f411573])).
% 171.66/27.59 fof(f411580,plain,(
% 171.66/27.59 $false|spl0_6280),
% 171.66/27.59 inference(forward_subsumption_resolution,[status(thm)],[f411575,f335922])).
% 171.66/27.59 fof(f411581,plain,(
% 171.66/27.59 spl0_6280),
% 171.66/27.59 inference(contradiction_clause,[status(thm)],[f411580])).
% 171.66/27.59 fof(f413024,plain,(
% 171.66/27.59 ![X0,X1,X2]: (~v1_relat_1(X0)|~v1_relat_1(X1)|~r1_tarski(X2,X0)|r1_tarski(k5_relat_1(X2,X1),k5_relat_1(X0,X1)))),
% 171.66/27.59 inference(forward_subsumption_resolution,[status(thm)],[f72755,f72618])).
% 171.66/27.59 fof(f413025,plain,(
% 171.66/27.59 spl0_6304 <=> v1_relat_1(sk0_23834)),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f413027,plain,(
% 171.66/27.59 ~v1_relat_1(sk0_23834)|spl0_6304),
% 171.66/27.59 inference(component_clause,[status(thm)],[f413025])).
% 171.66/27.59 fof(f413028,plain,(
% 171.66/27.59 spl0_6305 <=> r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f413030,plain,(
% 171.66/27.59 ~r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)|spl0_6305),
% 171.66/27.59 inference(component_clause,[status(thm)],[f413028])).
% 171.66/27.59 fof(f413031,plain,(
% 171.66/27.59 ~v1_relat_1(sk0_23834)|~v1_relat_1(sk0_23836)|~r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)|spl0_6188),
% 171.66/27.59 inference(resolution,[status(thm)],[f413024,f402905])).
% 171.66/27.59 fof(f413032,plain,(
% 171.66/27.59 ~spl0_6304|~spl0_6280|~spl0_6305|spl0_6188),
% 171.66/27.59 inference(split_clause,[status(thm)],[f413031,f413025,f411573,f413028,f402903])).
% 171.66/27.59 fof(f413048,plain,(
% 171.66/27.59 $false|spl0_6304),
% 171.66/27.59 inference(forward_subsumption_resolution,[status(thm)],[f413027,f335920])).
% 171.66/27.59 fof(f413049,plain,(
% 171.66/27.59 spl0_6304),
% 171.66/27.59 inference(contradiction_clause,[status(thm)],[f413048])).
% 171.66/27.59 fof(f413050,plain,(
% 171.66/27.59 $false|spl0_6305),
% 171.66/27.59 inference(forward_subsumption_resolution,[status(thm)],[f413030,f71347])).
% 171.66/27.59 fof(f413051,plain,(
% 171.66/27.59 spl0_6305),
% 171.66/27.59 inference(contradiction_clause,[status(thm)],[f413050])).
% 171.66/27.59 fof(f413314,plain,(
% 171.66/27.59 spl0_6314 <=> v1_relat_1(sk0_23835)),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f413316,plain,(
% 171.66/27.59 ~v1_relat_1(sk0_23835)|spl0_6314),
% 171.66/27.59 inference(component_clause,[status(thm)],[f413314])).
% 171.66/27.59 fof(f413317,plain,(
% 171.66/27.59 spl0_6315 <=> r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)),
% 171.66/27.59 introduced(split_symbol_definition)).
% 171.66/27.59 fof(f413319,plain,(
% 171.66/27.59 ~r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)|spl0_6315),
% 171.66/27.59 inference(component_clause,[status(thm)],[f413317])).
% 171.66/27.59 fof(f413325,plain,(
% 171.66/27.59 ~v1_relat_1(sk0_23835)|~v1_relat_1(sk0_23836)|~r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)|spl0_6189),
% 171.66/27.59 inference(resolution,[status(thm)],[f402908,f413024])).
% 171.66/27.59 fof(f413326,plain,(
% 171.66/27.59 ~spl0_6314|~spl0_6280|~spl0_6315|spl0_6189),
% 171.66/27.59 inference(split_clause,[status(thm)],[f413325,f413314,f411573,f413317,f402906])).
% 171.66/27.59 fof(f413330,plain,(
% 171.66/27.59 $false|spl0_6314),
% 171.66/27.59 inference(forward_subsumption_resolution,[status(thm)],[f413316,f335921])).
% 171.66/27.59 fof(f413331,plain,(
% 171.66/27.59 spl0_6314),
% 171.66/27.59 inference(contradiction_clause,[status(thm)],[f413330])).
% 171.66/27.59 fof(f413332,plain,(
% 171.66/27.59 $false|spl0_6% Elapsed time: 28.114987 seconds
% 181.97/29.00 % CPU time: 127.202184 seconds
% 181.97/29.00 % Total memory used: 14.763 GB
% 181.97/29.00 % Net memory used: 14.703 GB
% 181.97/29.02 315),
% 181.97/29.02 inference(forward_subsumption_resolution,[status(thm)],[f413319,f402612])).
% 181.97/29.02 fof(f413333,plain,(
% 181.97/29.02 spl0_6315),
% 181.97/29.02 inference(contradiction_clause,[status(thm)],[f413332])).
% 181.97/29.02 fof(f413334,plain,(
% 181.97/29.02 $false),
% 181.97/29.02 inference(sat_refutation,[status(thm)],[f402910,f411581,f413032,f413049,f413051,f413326,f413331,f413333])).
% 181.97/29.02 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------