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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV397+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 02:50:42 PM UTC 2026

% Result   : Theorem 0.18s 0.48s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV397+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42  % Computer : n009.cluster.edu
% 0.18/0.42  % Model    : x86_64 x86_64
% 0.18/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42  % Memory   : 8046.5625MB
% 0.18/0.42  % OS       : Linux 6.8.0-71-generic
% 0.18/0.42  % CPULimit : 300
% 0.18/0.42  % WCLimit  : 300
% 0.18/0.42  % DateTime : Mon Sep 21 08:44:57 UTC 2026
% 0.18/0.42  % CPUTime  : 
% 0.18/0.44  % Drodi V4.1.1
% 0.18/0.48  % Refutation found
% 0.18/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48  fof(f28,axiom,(
% 0.18/0.48    (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.18/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f31,axiom,(
% 0.18/0.48    (! [U,V,W,X] :( ~ contains_slb(V,X)=> remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ) )),
% 0.18/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f42,conjecture,(
% 0.18/0.48    (! [U,V,W,X] :( ok(remove_cpq(triple(U,V,W),X))=> contains_slb(V,X) ) )),
% 0.18/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f43,negated_conjecture,(
% 0.18/0.48    ~((! [U,V,W,X] :( ok(remove_cpq(triple(U,V,W),X))=> contains_slb(V,X) ) ))),
% 0.18/0.48    inference(negated_conjecture,[status(cth)],[f42])).
% 0.18/0.48  fof(f111,plain,(
% 0.18/0.48    ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.18/0.48    inference(NNF_transformation,[status(thm)],[f28])).
% 0.18/0.48  fof(f112,plain,(
% 0.18/0.48    ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.18/0.48    inference(miniscoping,[status(thm)],[f111])).
% 0.18/0.48  fof(f113,plain,(
% 0.18/0.48    ![U,V]: ~ok(triple(U,V,bad))),
% 0.18/0.48    inference(true_and_false_simplification,[status(thm)],[f112])).
% 0.18/0.48  fof(f114,plain,(
% 0.18/0.48    ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f113])).
% 0.18/0.48  fof(f119,plain,(
% 0.18/0.48    ![U,V,W,X]: (contains_slb(V,X)|remove_cpq(triple(U,V,W),X)=triple(U,V,bad))),
% 0.18/0.48    inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.18/0.48  fof(f120,plain,(
% 0.18/0.48    ![V,X]: (contains_slb(V,X)|(![U,W]: remove_cpq(triple(U,V,W),X)=triple(U,V,bad)))),
% 0.18/0.48    inference(miniscoping,[status(thm)],[f119])).
% 0.18/0.48  fof(f121,plain,(
% 0.18/0.48    ![X0,X1,X2,X3]: (contains_slb(X0,X1)|remove_cpq(triple(X2,X0,X3),X1)=triple(X2,X0,bad))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f120])).
% 0.18/0.48  fof(f144,plain,(
% 0.18/0.48    (?[U,V,W,X]: (ok(remove_cpq(triple(U,V,W),X))&~contains_slb(V,X)))),
% 0.18/0.48    inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.18/0.48  fof(f145,plain,(
% 0.18/0.48    ?[V,X]: ((?[U,W]: ok(remove_cpq(triple(U,V,W),X)))&~contains_slb(V,X))),
% 0.18/0.48    inference(miniscoping,[status(thm)],[f144])).
% 0.18/0.48  fof(f146,plain,(
% 0.18/0.48    (ok(remove_cpq(triple(sK2_skl,sK0_skl,sK3_skl),sK1_skl))&~contains_slb(sK0_skl,sK1_skl))),
% 0.18/0.48    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(V,sK0_skl),skolemize(X,sK1_skl),skolemize(U,sK2_skl),skolemize(W,sK3_skl)],[f145])).
% 0.18/0.48  fof(f147,plain,(
% 0.18/0.48    ok(remove_cpq(triple(sK2_skl,sK0_skl,sK3_skl),sK1_skl))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f146])).
% 0.18/0.48  fof(f148,plain,(
% 0.18/0.48    ~contains_slb(sK0_skl,sK1_skl)),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f146])).
% 0.18/0.48  fof(f157,plain,(
% 0.18/0.48    ![X0,X1]: (remove_cpq(triple(X0,sK0_skl,X1),sK1_skl)=triple(X0,sK0_skl,bad))),
% 0.18/0.48    inference(resolution,[status(thm)],[f121,f148])).
% 0.18/0.48  fof(f158,plain,(
% 0.18/0.48    ok(triple(sK2_skl,sK0_skl,bad))),
% 0.18/0.48    inference(backward_demodulation,[status(thm)],[f157,f147])).
% 0.18/0.48  fof(f159,plain,(
% 0.18/0.48    $false),
% 0.18/0.48    inference(forward_subsumption_resolution,[status(thm)],[f158,f114])).
% 0.18/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.52  % Elapsed time: 0.080623 seconds
% 0.23/0.52  % CPU time: 0.190108 seconds
% 0.23/0.52  % Total memory used: 103.001 MB
% 0.23/0.52  % Net memory used: 102.947 MB
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