TSTP Solution File: SWV182+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:46:11 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:28:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f2,axiom,(
% 0.14/0.37 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f3,axiom,(
% 0.14/0.37 (! [X] : ~ gt(X,X) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f9,axiom,(
% 0.14/0.37 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f53,conjecture,(
% 0.14/0.37 ( ( leq(tptp_float_0_001,pv76)& leq(n1,loopcounter)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select3(center_init,C,n0) = init ))& ( gt(loopcounter,n0)=> (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ) ))& ( gt(loopcounter,n0)=> (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(rho_init,E) = init ) ))& ( gt(loopcounter,n0)=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(sigma_init,F) = init ) )) )=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(rho_init,G) = init ) )) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f54,negated_conjecture,(
% 0.14/0.37 ~(( ( leq(tptp_float_0_001,pv76)& leq(n1,loopcounter)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select3(center_init,C,n0) = init ))& ( gt(loopcounter,n0)=> (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ) ))& ( gt(loopcounter,n0)=> (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(rho_init,E) = init ) ))& ( gt(loopcounter,n0)=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(sigma_init,F) = init ) )) )=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(rho_init,G) = init ) )) )),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/0.37 fof(f65,axiom,(
% 0.14/0.37 gt(n4,n0) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f68,axiom,(
% 0.14/0.37 gt(n1,n0) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f95,plain,(
% 0.14/0.37 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.37 fof(f96,plain,(
% 0.14/0.37 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f95])).
% 0.14/0.37 fof(f97,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f96])).
% 0.14/0.37 fof(f98,plain,(
% 0.14/0.37 ![X0]: (~gt(X0,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.37 fof(f113,plain,(
% 0.14/0.37 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.14/0.37 fof(f114,plain,(
% 0.14/0.37 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f113])).
% 0.14/0.37 fof(f251,plain,(
% 0.14/0.37 (((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select3(center_init,C,n0)=init)))&(~gt(loopcounter,n0)|(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init))))&(~gt(loopcounter,n0)|(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(rho_init,E)=init))))&(~gt(loopcounter,n0)|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(sigma_init,F)=init))))&(?[G]: ((leq(n0,G)&leq(G,n4))&~a_select2(rho_init,G)=init)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.14/0.37 fof(f252,plain,(
% 0.14/0.37 ((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select3(center_init,C,n0)=init)))&(~gt(loopcounter,n0)|(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init))))&(~gt(loopcounter,n0)|(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(rho_init,E)=init))))&(~gt(loopcounter,n0)|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(sigma_init,F)=init))))&((leq(n0,sk0_23)&leq(sk0_23,n4))&~a_select2(rho_init,sk0_23)=init)),
% 0.14/0.37 inference(skolemization,[status(esa)],[f251])).
% 0.14/0.37 fof(f254,plain,(
% 0.14/0.37 leq(n1,loopcounter)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f252])).
% 0.14/0.37 fof(f258,plain,(
% 0.14/0.37 ![X0]: (~gt(loopcounter,n0)|~leq(n0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f252])).
% 0.21/0.38 fof(f260,plain,(
% 0.21/0.38 leq(n0,sk0_23)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f252])).
% 0.21/0.38 fof(f261,plain,(
% 0.21/0.38 leq(sk0_23,n4)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f252])).
% 0.21/0.38 fof(f262,plain,(
% 0.21/0.38 ~a_select2(rho_init,sk0_23)=init),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f252])).
% 0.21/0.38 fof(f273,plain,(
% 0.21/0.38 gt(n4,n0)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f65])).
% 0.21/0.38 fof(f276,plain,(
% 0.21/0.38 gt(n1,n0)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f68])).
% 0.21/0.38 fof(f335,plain,(
% 0.21/0.38 spl0_0 <=> gt(loopcounter,n0)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f337,plain,(
% 0.21/0.38 ~gt(loopcounter,n0)|spl0_0),
% 0.21/0.38 inference(component_clause,[status(thm)],[f335])).
% 0.21/0.38 fof(f342,plain,(
% 0.21/0.38 spl0_2 <=> ~leq(n0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f343,plain,(
% 0.21/0.38 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init|~spl0_2)),
% 0.21/0.38 inference(component_clause,[status(thm)],[f342])).
% 0.21/0.38 fof(f345,plain,(
% 0.21/0.38 ~spl0_0|spl0_2),
% 0.21/0.38 inference(split_clause,[status(thm)],[f258,f335,f342])).
% 0.21/0.38 fof(f439,plain,(
% 0.21/0.38 spl0_9 <=> leq(n0,sk0_23)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f441,plain,(
% 0.21/0.38 ~leq(n0,sk0_23)|spl0_9),
% 0.21/0.38 inference(component_clause,[status(thm)],[f439])).
% 0.21/0.38 fof(f442,plain,(
% 0.21/0.38 spl0_10 <=> leq(sk0_23,n4)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f444,plain,(
% 0.21/0.38 ~leq(sk0_23,n4)|spl0_10),
% 0.21/0.38 inference(component_clause,[status(thm)],[f442])).
% 0.21/0.38 fof(f445,plain,(
% 0.21/0.38 ~leq(n0,sk0_23)|~leq(sk0_23,n4)|~spl0_2),
% 0.21/0.38 inference(resolution,[status(thm)],[f343,f262])).
% 0.21/0.38 fof(f446,plain,(
% 0.21/0.38 ~spl0_9|~spl0_10|~spl0_2),
% 0.21/0.38 inference(split_clause,[status(thm)],[f445,f439,f442,f342])).
% 0.21/0.38 fof(f447,plain,(
% 0.21/0.38 $false|spl0_10),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f444,f261])).
% 0.21/0.38 fof(f448,plain,(
% 0.21/0.38 spl0_10),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f447])).
% 0.21/0.38 fof(f450,plain,(
% 0.21/0.38 $false|spl0_9),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f441,f260])).
% 0.21/0.38 fof(f451,plain,(
% 0.21/0.38 spl0_9),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f450])).
% 0.21/0.38 fof(f537,plain,(
% 0.21/0.38 spl0_13 <=> n1=loopcounter),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f538,plain,(
% 0.21/0.38 n1=loopcounter|~spl0_13),
% 0.21/0.38 inference(component_clause,[status(thm)],[f537])).
% 0.21/0.38 fof(f540,plain,(
% 0.21/0.38 spl0_14 <=> gt(loopcounter,n1)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f541,plain,(
% 0.21/0.38 gt(loopcounter,n1)|~spl0_14),
% 0.21/0.38 inference(component_clause,[status(thm)],[f540])).
% 0.21/0.38 fof(f543,plain,(
% 0.21/0.38 n1=loopcounter|gt(loopcounter,n1)),
% 0.21/0.38 inference(resolution,[status(thm)],[f114,f254])).
% 0.21/0.38 fof(f544,plain,(
% 0.21/0.38 spl0_13|spl0_14),
% 0.21/0.38 inference(split_clause,[status(thm)],[f543,f537,f540])).
% 0.21/0.38 fof(f553,plain,(
% 0.21/0.38 spl0_17 <=> n0=n4),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f554,plain,(
% 0.21/0.38 n0=n4|~spl0_17),
% 0.21/0.38 inference(component_clause,[status(thm)],[f553])).
% 0.21/0.38 fof(f631,plain,(
% 0.21/0.38 gt(n0,n0)|~spl0_17),
% 0.21/0.38 inference(backward_demodulation,[status(thm)],[f554,f273])).
% 0.21/0.38 fof(f632,plain,(
% 0.21/0.38 $false|~spl0_17),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f631,f98])).
% 0.21/0.38 fof(f633,plain,(
% 0.21/0.38 ~spl0_17),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f632])).
% 0.21/0.38 fof(f643,plain,(
% 0.21/0.38 ~gt(n1,n0)|~spl0_13|spl0_0),
% 0.21/0.38 inference(backward_demodulation,[status(thm)],[f538,f337])).
% 0.21/0.38 fof(f644,plain,(
% 0.21/0.38 $false|~spl0_13|spl0_0),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f643,f276])).
% 0.21/0.38 fof(f645,plain,(
% 0.21/0.38 ~spl0_13|spl0_0),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f644])).
% 0.21/0.38 fof(f655,plain,(
% 0.21/0.38 ![X0]: (~gt(loopcounter,X0)|~gt(X0,n0)|spl0_0)),
% 0.21/0.38 inference(resolution,[status(thm)],[f337,f97])).
% 0.21/0.38 fof(f662,plain,(
% 0.21/0.38 ~gt(n1,n0)|spl0_0|~spl0_14),
% 0.21/0.38 inference(resolution,[status(thm)],[f655,f541])).
% 0.21/0.38 fof(f663,plain,(
% 0.21/0.38 $false|spl0_0|~spl0_14),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f662,f276])).
% 0.21/0.38 fof(f664,plain,(
% 0.21/0.38 spl0_0|~spl0_14),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f663])).
% 0.21/0.38 fof(f665,plain,(
% 0.21/0.38 $false),
% 0.21/0.38 inference(sat_refutation,[status(thm)],[f345,f446,f448,f451,f544,f633,f645,f664])).
% 0.21/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.39 % Elapsed time: 0.036176 seconds
% 0.21/0.39 % CPU time: 0.127313 seconds
% 0.21/0.39 % Total memory used: 25.725 MB
% 0.21/0.39 % Net memory used: 25.523 MB
%------------------------------------------------------------------------------