↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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 12:58:01 PM UTC 2026

% Result   : Theorem 8.28s 6.50s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   82 (  71 unt;   0 def)
%            Number of atoms       :   97 (  96 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  10   ~;   6   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   88 (  86   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A] : addition(A,zero) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : multiplication(A,one) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A] : multiplication(A,zero) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [X0] : c(X0) = antidomain(domain(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X0,X1,X2] :
      ( addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2))
     => addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,conjecture,
    ! [X0] :
      ( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
     => ! [X2] :
          ( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
         => domain(X2) = zero ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
       => ! [X2] :
            ( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
           => domain(X2) = zero ) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f31,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f32,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f33,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f36,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f40,plain,
    ! [X0] : multiplication(X0,zero) = zero,
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f46,plain,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f48,plain,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f49,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f54,plain,
    ! [X0] : c(X0) = antidomain(domain(X0)),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f55,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f56,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f60,plain,
    ! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2)))
      | addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) != addition(forward_diamond(X1,domain(X0)),domain(X2)) ),
    inference(pre_NNF_transformation,[status(thm)],[f28]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2)))
      | addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) != addition(forward_diamond(X1,domain(X0)),domain(X2)) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ? [X0] :
      ( ? [X2] :
          ( domain(X2) != zero
          & addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
      & ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
    inference(pre_NNF_transformation,[status(thm)],[f30]) ).

fof(f64,plain,
    ( domain(sK1_skl) != zero
    & addition(domain(sK1_skl),forward_diamond(sK0_skl,domain(sK1_skl))) = forward_diamond(sK0_skl,domain(sK1_skl))
    & ! [X1] : addition(forward_diamond(sK0_skl,domain(X1)),forward_diamond(star(sK0_skl),domain_difference(domain(X1),forward_diamond(sK0_skl,domain(X1))))) = forward_diamond(star(sK0_skl),domain_difference(domain(X1),forward_diamond(sK0_skl,domain(X1)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X2,sK1_skl)],[f63]) ).

fof(f65,plain,
    ! [X0] : addition(forward_diamond(sK0_skl,domain(X0)),forward_diamond(star(sK0_skl),domain_difference(domain(X0),forward_diamond(sK0_skl,domain(X0))))) = forward_diamond(star(sK0_skl),domain_difference(domain(X0),forward_diamond(sK0_skl,domain(X0)))),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f66,plain,
    addition(domain(sK1_skl),forward_diamond(sK0_skl,domain(sK1_skl))) = forward_diamond(sK0_skl,domain(sK1_skl)),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f67,plain,
    domain(sK1_skl) != zero,
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f73,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(paramodulation,[status(thm)],[f31,f33]) ).

fof(f93,plain,
    ! [X0] : addition(domain(sK1_skl),addition(forward_diamond(sK0_skl,domain(sK1_skl)),X0)) = addition(forward_diamond(sK0_skl,domain(sK1_skl)),X0),
    inference(paramodulation,[status(thm)],[f66,f32]) ).

fof(f114,plain,
    antidomain(one) = zero,
    inference(paramodulation,[status(thm)],[f36,f46]) ).

fof(f120,plain,
    domain(one) = antidomain(zero),
    inference(paramodulation,[status(thm)],[f114,f49]) ).

fof(f121,plain,
    ! [X0] : multiplication(domain(X0),antidomain(X0)) = zero,
    inference(paramodulation,[status(thm)],[f49,f46]) ).

fof(f272,plain,
    domain(zero) = antidomain(domain(one)),
    inference(paramodulation,[status(thm)],[f120,f49]) ).

fof(f403,plain,
    ! [X0] : domain_difference(X0,X0) = zero,
    inference(backward_demodulation,[status(thm)],[f55,f121]) ).

fof(f423,plain,
    ! [X0,X1] : addition(forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1)))),forward_diamond(star(sK0_skl),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(sK0_skl,forward_diamond(X0,X1))))) = forward_diamond(star(sK0_skl),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1)))))),
    inference(paramodulation,[status(thm)],[f56,f65]) ).

fof(f438,plain,
    ! [X0,X1] : addition(forward_diamond(sK0_skl,forward_diamond(X0,X1)),forward_diamond(star(sK0_skl),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(sK0_skl,forward_diamond(X0,X1))))) = forward_diamond(star(sK0_skl),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1)))))),
    inference(forward_demodulation,[status(thm)],[f56,f423]) ).

fof(f439,plain,
    ! [X0,X1] : addition(forward_diamond(sK0_skl,forward_diamond(X0,X1)),forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1))))) = forward_diamond(star(sK0_skl),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1)))))),
    inference(forward_demodulation,[status(thm)],[f56,f438]) ).

fof(f440,plain,
    ! [X0,X1] : addition(forward_diamond(sK0_skl,forward_diamond(X0,X1)),forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1))))) = forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,X1),forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1)))))),
    inference(forward_demodulation,[status(thm)],[f56,f439]) ).

fof(f441,plain,
    ! [X0,X1] : addition(forward_diamond(sK0_skl,forward_diamond(X0,X1)),forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1))))) = forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f56,f440]) ).

fof(f452,plain,
    domain(zero) = c(one),
    inference(backward_demodulation,[status(thm)],[f54,f272]) ).

fof(f517,plain,
    ! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f31,f48]) ).

fof(f518,plain,
    ! [X0] : addition(antidomain(X0),domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f49,f517]) ).

fof(f519,plain,
    ! [X0] : addition(domain(X0),antidomain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f31,f518]) ).

fof(f524,plain,
    addition(domain(one),zero) = one,
    inference(paramodulation,[status(thm)],[f114,f519]) ).

fof(f530,plain,
    domain(one) = one,
    inference(forward_demodulation,[status(thm)],[f33,f524]) ).

fof(f656,plain,
    ! [X0] : addition(forward_diamond(sK0_skl,divergence(X0)),forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,divergence(X0)),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0)))))) = forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,divergence(X0)),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0))))),
    inference(paramodulation,[status(thm)],[f60,f441]) ).

fof(f668,plain,
    ! [X0] : addition(forward_diamond(sK0_skl,divergence(X0)),forward_diamond(star(sK0_skl),domain_difference(divergence(X0),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0)))))) = forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,divergence(X0)),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0))))),
    inference(forward_demodulation,[status(thm)],[f60,f656]) ).

fof(f669,plain,
    ! [X0] : addition(forward_diamond(sK0_skl,divergence(X0)),forward_diamond(star(sK0_skl),domain_difference(divergence(X0),forward_diamond(sK0_skl,divergence(X0))))) = forward_diamond(star(sK0_skl),domain_difference(forward_diamond(X0,divergence(X0)),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0))))),
    inference(forward_demodulation,[status(thm)],[f60,f668]) ).

fof(f670,plain,
    ! [X0] : addition(forward_diamond(sK0_skl,divergence(X0)),forward_diamond(star(sK0_skl),domain_difference(divergence(X0),forward_diamond(sK0_skl,divergence(X0))))) = forward_diamond(star(sK0_skl),domain_difference(divergence(X0),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0))))),
    inference(forward_demodulation,[status(thm)],[f60,f669]) ).

fof(f671,plain,
    ! [X0] : addition(forward_diamond(sK0_skl,divergence(X0)),forward_diamond(star(sK0_skl),domain_difference(divergence(X0),forward_diamond(sK0_skl,divergence(X0))))) = forward_diamond(star(sK0_skl),domain_difference(divergence(X0),forward_diamond(sK0_skl,divergence(X0)))),
    inference(forward_demodulation,[status(thm)],[f60,f670]) ).

fof(f693,plain,
    c(one) = antidomain(one),
    inference(paramodulation,[status(thm)],[f530,f54]) ).

fof(f706,plain,
    domain(zero) = antidomain(one),
    inference(forward_demodulation,[status(thm)],[f452,f693]) ).

fof(f707,plain,
    domain(zero) = zero,
    inference(forward_demodulation,[status(thm)],[f114,f706]) ).

fof(f747,plain,
    ! [X0] : forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
    inference(paramodulation,[status(thm)],[f707,f56]) ).

fof(f762,plain,
    ! [X0] : forward_diamond(X0,zero) = domain(zero),
    inference(forward_demodulation,[status(thm)],[f40,f747]) ).

fof(f763,plain,
    ! [X0] : forward_diamond(X0,zero) = zero,
    inference(forward_demodulation,[status(thm)],[f707,f762]) ).

fof(f1078,plain,
    addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),forward_diamond(sK0_skl,divergence(sK0_skl))))) = forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),forward_diamond(sK0_skl,divergence(sK0_skl)))),
    inference(paramodulation,[status(thm)],[f60,f671]) ).

fof(f1086,plain,
    addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),divergence(sK0_skl)))) = forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),forward_diamond(sK0_skl,divergence(sK0_skl)))),
    inference(forward_demodulation,[status(thm)],[f60,f1078]) ).

fof(f1087,plain,
    addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),zero)) = forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),forward_diamond(sK0_skl,divergence(sK0_skl)))),
    inference(forward_demodulation,[status(thm)],[f403,f1086]) ).

fof(f1088,plain,
    addition(divergence(sK0_skl),zero) = forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),forward_diamond(sK0_skl,divergence(sK0_skl)))),
    inference(forward_demodulation,[status(thm)],[f763,f1087]) ).

fof(f1089,plain,
    divergence(sK0_skl) = forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),forward_diamond(sK0_skl,divergence(sK0_skl)))),
    inference(forward_demodulation,[status(thm)],[f33,f1088]) ).

fof(f1090,plain,
    divergence(sK0_skl) = forward_diamond(star(sK0_skl),domain_difference(divergence(sK0_skl),divergence(sK0_skl))),
    inference(forward_demodulation,[status(thm)],[f60,f1089]) ).

fof(f1091,plain,
    divergence(sK0_skl) = forward_diamond(star(sK0_skl),zero),
    inference(forward_demodulation,[status(thm)],[f403,f1090]) ).

fof(f1092,plain,
    divergence(sK0_skl) = zero,
    inference(forward_demodulation,[status(thm)],[f763,f1091]) ).

fof(f1121,plain,
    ! [X0,X1] :
      ( addition(domain(X0),addition(zero,forward_diamond(star(sK0_skl),domain(X1)))) = addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain(X1)))
      | addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))) != addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)) ),
    inference(paramodulation,[status(thm)],[f1092,f62]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( addition(domain(X0),forward_diamond(star(sK0_skl),domain(X1))) = addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain(X1)))
      | addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))) != addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)) ),
    inference(forward_demodulation,[status(thm)],[f73,f1121]) ).

fof(f1140,plain,
    ! [X0,X1] :
      ( addition(domain(X0),forward_diamond(star(sK0_skl),domain(X1))) = addition(zero,forward_diamond(star(sK0_skl),domain(X1)))
      | addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))) != addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)) ),
    inference(forward_demodulation,[status(thm)],[f1092,f1139]) ).

fof(f1141,plain,
    ! [X0,X1] :
      ( addition(domain(X0),forward_diamond(star(sK0_skl),domain(X1))) = forward_diamond(star(sK0_skl),domain(X1))
      | addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))) != addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)) ),
    inference(forward_demodulation,[status(thm)],[f73,f1140]) ).

fof(f4143,plain,
    ! [X0] : addition(domain(sK1_skl),forward_diamond(star(sK0_skl),domain(X0))) = forward_diamond(star(sK0_skl),domain(X0)),
    inference(resolution,[status(thm)],[f1141,f93]) ).

fof(f5401,plain,
    addition(domain(sK1_skl),forward_diamond(star(sK0_skl),zero)) = forward_diamond(star(sK0_skl),domain(zero)),
    inference(paramodulation,[status(thm)],[f707,f4143]) ).

fof(f5425,plain,
    addition(domain(sK1_skl),zero) = forward_diamond(star(sK0_skl),domain(zero)),
    inference(forward_demodulation,[status(thm)],[f763,f5401]) ).

fof(f5426,plain,
    domain(sK1_skl) = forward_diamond(star(sK0_skl),domain(zero)),
    inference(forward_demodulation,[status(thm)],[f33,f5425]) ).

fof(f5427,plain,
    domain(sK1_skl) = forward_diamond(star(sK0_skl),zero),
    inference(forward_demodulation,[status(thm)],[f707,f5426]) ).

fof(f5428,plain,
    domain(sK1_skl) = zero,
    inference(forward_demodulation,[status(thm)],[f763,f5427]) ).

fof(f5429,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f5428,f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/5.31  % Computer : n012.cluster.edu
% 0.04/5.31  % Model    : x86_64 x86_64
% 0.04/5.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31  % Memory   : 8046.5625MB
% 0.04/5.31  % OS       : Linux 6.8.0-71-generic
% 0.04/5.31  % CPULimit : 300
% 0.04/5.31  % WCLimit  : 300
% 0.04/5.31  % DateTime : Sun Sep 20 22:45:08 UTC 2026
% 0.04/5.31  % CPUTime  : 
% 0.04/5.32  % Drodi V4.1.1
% 8.28/6.50  % Refutation found
% 8.28/6.50  % SZS status Theorem for theBenchmark: Theorem is valid
% 8.28/6.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.82/6.57  % Elapsed time: 1.239385 seconds
% 7.82/6.57  % CPU time: 9.550259 seconds
% 7.82/6.57  % Total memory used: 219.025 MB
% 7.82/6.57  % Net memory used: 215.217 MB
%------------------------------------------------------------------------------