%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV182+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:50:11 PM UTC 2026
% Result : Theorem 5.65s 1.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV182+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 08:34:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 5.65/1.27 % Refutation found
% 5.65/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.65/1.27 % SZS output start CNFRefutation for theBenchmark
% 5.65/1.27 fof(f2,axiom,(
% 5.65/1.27 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 5.65/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.65/1.27 fof(f9,axiom,(
% 5.65/1.27 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 5.65/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.65/1.27 fof(f26,axiom,(
% 5.65/1.27 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 5.65/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.65/1.27 fof(f27,axiom,(
% 5.65/1.27 (! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body) )),
% 5.65/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.65/1.27 fof(f53,conjecture,(
% 5.65/1.27 ( ( 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 ) )) ),
% 5.65/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.65/1.27 fof(f54,negated_conjecture,(
% 5.65/1.27 ~(( ( 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 ) )) )),
% 5.65/1.27 inference(negated_conjecture,[status(cth)],[f53])).
% 5.65/1.27 fof(f68,axiom,(
% 5.65/1.27 gt(n1,n0) ),
% 5.65/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.65/1.27 fof(f95,plain,(
% 5.65/1.27 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 5.65/1.27 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.65/1.27 fof(f96,plain,(
% 5.65/1.27 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 5.65/1.27 inference(miniscoping,[status(thm)],[f95])).
% 5.65/1.27 fof(f97,plain,(
% 5.65/1.27 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 5.65/1.27 inference(cnf_transformation,[status(thm)],[f96])).
% 5.65/1.27 fof(f113,plain,(
% 5.65/1.27 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 5.65/1.27 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 5.65/1.27 fof(f114,plain,(
% 5.65/1.27 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 5.65/1.27 inference(cnf_transformation,[status(thm)],[f113])).
% 5.65/1.27 fof(f204,plain,(
% 5.65/1.27 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 5.65/1.27 inference(cnf_transformation,[status(thm)],[f26])).
% 5.65/1.27 fof(f205,plain,(
% 5.65/1.27 ![X0]: (tptp_float_0_0=sum(n0,tptp_minus_1,X0))),
% 5.65/1.27 inference(cnf_transformation,[status(thm)],[f27])).
% 5.65/1.27 fof(f251,plain,(
% 5.65/1.27 (((((((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)))),
% 5.65/1.27 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 5.65/1.27 fof(f252,plain,(
% 5.65/1.27 ((((((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,sK23_skl)&leq(sK23_skl,n4))&~a_select2(rho_init,sK23_skl)=init)),
% 5.65/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(G,sK23_skl)],[f251])).
% 5.65/1.28 fof(f254,plain,(
% 5.65/1.28 leq(n1,loopcounter)),
% 5.65/1.28 inference(cnf_transformation,[status(thm)],[f252])).
% 5.65/1.28 fof(f258,plain,(
% 5.65/1.28 ![X0]: (~gt(loopcounter,n0)|~leq(n0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init)),
% 5.65/1.28 inference(cnf_transformation,[status(thm)],[f252])).
% 5.65/1.28 fof(f260,plain,(
% 5.65/1.28 leq(n0,sK23_skl)),
% 5.65/1.28 inference(cnf_transformation,[status(thm)],[f252])).
% 5.65/1.28 fof(f261,plain,(
% 5.65/1.28 leq(sK23_skl,n4)),
% 5.65/1.28 inference(cnf_transformation,[status(thm)],[f252])).
% 5.65/1.28 fof(f262,plain,(
% 5.65/1.28 ~a_select2(rho_init,sK23_skl)=init),
% 5.65/1.28 inference(cnf_transformation,[status(thm)],[f252])).
% 5.65/1.28 fof(f276,plain,(
% 5.65/1.28 gt(n1,n0)),
% 5.65/1.28 inference(cnf_transformation,[status(thm)],[f68])).
% 5.65/1.28 fof(f344,plain,(
% 5.65/1.28 tptp_float_0_0=n0),
% 5.65/1.28 inference(backward_demodulation,[status(thm)],[f205,f204])).
% 5.65/1.28 fof(f394,plain,(
% 5.65/1.28 gt(n1,tptp_float_0_0)),
% 5.65/1.28 inference(backward_demodulation,[status(thm)],[f344,f276])).
% 5.65/1.28 fof(f399,plain,(
% 5.65/1.28 leq(tptp_float_0_0,sK23_skl)),
% 5.65/1.28 inference(backward_demodulation,[status(thm)],[f344,f260])).
% 5.65/1.28 fof(f401,plain,(
% 5.65/1.28 ![X0]: (~gt(loopcounter,n0)|~leq(tptp_float_0_0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init)),
% 5.65/1.28 inference(backward_demodulation,[status(thm)],[f344,f258])).
% 5.65/1.28 fof(f470,plain,(
% 5.65/1.28 ![X0]: (~gt(loopcounter,tptp_float_0_0)|~leq(tptp_float_0_0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init)),
% 5.65/1.28 inference(forward_demodulation,[status(thm)],[f344,f401])).
% 5.65/1.28 fof(f658,plain,(
% 5.65/1.28 ~gt(loopcounter,tptp_float_0_0)|~leq(sK23_skl,n4)|a_select2(rho_init,sK23_skl)=init),
% 5.65/1.28 inference(resolution,[status(thm)],[f470,f399])).
% 5.65/1.28 fof(f661,plain,(
% 5.65/1.28 ~gt(loopcounter,tptp_float_0_0)|a_select2(rho_init,sK23_skl)=init),
% 5.65/1.28 inference(forward_subsumption_resolution,[status(thm)],[f658,f261])).
% 5.65/1.28 fof(f730,plain,(
% 5.65/1.28 ![X0]: (a_select2(rho_init,sK23_skl)=init|~gt(loopcounter,X0)|~gt(X0,tptp_float_0_0))),
% 5.65/1.28 inference(resolution,[status(thm)],[f661,f97])).
% 5.65/1.28 fof(f734,plain,(
% 5.65/1.28 ![X0]: (~gt(loopcounter,X0)|~gt(X0,tptp_float_0_0))),
% 5.65/1.28 inference(forward_subsumption_resolution,[status(thm)],[f730,f262])).
% 5.65/1.28 fof(f738,plain,(
% 5.65/1.28 ![X0]: (~gt(X0,tptp_float_0_0)|~leq(X0,loopcounter)|X0=loopcounter)),
% 5.65/1.28 inference(resolution,[status(thm)],[f734,f114])).
% 5.65/1.28 fof(f1406,plain,(
% 5.65/1.28 ~gt(n1,tptp_float_0_0)|n1=loopcounter),
% 5.65/1.28 inference(resolution,[status(thm)],[f738,f254])).
% 5.65/1.28 fof(f1442,plain,(
% 5.65/1.28 gt(loopcounter,tptp_float_0_0)),
% 5.65/1.28 inference(backward_demodulation,[status(thm)],[f1520,f394])).
% 5.65/1.28 fof(f1520,plain,(
% 5.65/1.28 n1=loopcounter),
% 5.65/1.28 inference(forward_subsumption_resolution,[status(thm)],[f1406,f394])).
% 5.65/1.28 fof(f1542,plain,(
% 5.65/1.28 a_select2(rho_init,sK23_skl)=init),
% 5.65/1.28 inference(backward_subsumption_resolution,[status(thm)],[f661,f1442])).
% 5.65/1.28 fof(f1868,plain,(
% 5.65/1.28 $false),
% 5.65/1.28 inference(forward_subsumption_resolution,[status(thm)],[f1542,f262])).
% 5.65/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 5.65/1.29 % Elapsed time: 0.926844 seconds
% 5.65/1.29 % CPU time: 7.042135 seconds
% 5.65/1.29 % Total memory used: 165.262 MB
% 5.65/1.29 % Net memory used: 153.985 MB
%------------------------------------------------------------------------------