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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 02:50:39 PM UTC 2026

% Result   : Theorem 0.14s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n026.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 08:46:06 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V4.1.1
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40  fof(f55,axiom,(
% 0.14/0.40    (! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X) )),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f63,conjecture,(
% 0.14/0.40    (! [U] :( (! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y)))=> (! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) )) )),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f64,negated_conjecture,(
% 0.14/0.40    ~((! [U] :( (! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y)))=> (! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) )) ))),
% 0.14/0.40    inference(negated_conjecture,[status(cth)],[f63])).
% 0.14/0.40  fof(f193,plain,(
% 0.14/0.40    ![X0,X1,X2,X3,X4]: (i(triple(X0,insert_slb(X1,pair(X2,X3)),X4))=insert_pq(i(triple(X0,X1,X4)),X2))),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/0.40  fof(f229,plain,(
% 0.14/0.40    (?[U]: ((![V,W,X,Y]: i(triple(V,U,X))=i(triple(W,U,Y)))&(?[Z,X1,X2,X3,X4,X5]: ~i(triple(Z,insert_slb(U,pair(X4,X5)),X2))=i(triple(X1,insert_slb(U,pair(X4,X5)),X3)))))),
% 0.14/0.40    inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.14/0.40  fof(f230,plain,(
% 0.14/0.40    ((![V,W,X,Y]: i(triple(V,sK4_skl,X))=i(triple(W,sK4_skl,Y)))&~i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK7_skl))=i(triple(sK6_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK8_skl)))),
% 0.14/0.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(U,sK4_skl),skolemize(Z,sK5_skl),skolemize(X1,sK6_skl),skolemize(X2,sK7_skl),skolemize(X3,sK8_skl),skolemize(X4,sK9_skl),skolemize(X5,sK10_skl)],[f229])).
% 0.14/0.40  fof(f231,plain,(
% 0.14/0.40    ![X0,X1,X2,X3]: (i(triple(X0,sK4_skl,X1))=i(triple(X2,sK4_skl,X3)))),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f230])).
% 0.14/0.40  fof(f232,plain,(
% 0.14/0.40    ~i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK7_skl))=i(triple(sK6_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK8_skl))),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f230])).
% 0.14/0.40  fof(f238,plain,(
% 0.14/0.40    ~insert_pq(i(triple(sK5_skl,sK4_skl,sK7_skl)),sK9_skl)=i(triple(sK6_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK8_skl))),
% 0.14/0.40    inference(forward_demodulation,[status(thm)],[f193,f232])).
% 0.14/0.40  fof(f239,plain,(
% 0.14/0.40    ~insert_pq(i(triple(sK5_skl,sK4_skl,sK7_skl)),sK9_skl)=insert_pq(i(triple(sK6_skl,sK4_skl,sK8_skl)),sK9_skl)),
% 0.14/0.40    inference(forward_demodulation,[status(thm)],[f193,f238])).
% 0.14/0.40  fof(f244,plain,(
% 0.14/0.40    ![X0,X1]: (~insert_pq(i(triple(sK5_skl,sK4_skl,sK7_skl)),sK9_skl)=insert_pq(i(triple(X0,sK4_skl,X1)),sK9_skl))),
% 0.14/0.40    inference(paramodulation,[status(thm)],[f231,f239])).
% 0.14/0.40  fof(f250,plain,(
% 0.14/0.40    $false),
% 0.14/0.40    inference(equality_resolution,[status(thm)],[f244])).
% 0.14/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41  % Elapsed time: 0.048130 seconds
% 0.14/0.41  % CPU time: 0.137267 seconds
% 0.14/0.41  % Total memory used: 81.978 MB
% 0.14/0.41  % Net memory used: 81.900 MB
%------------------------------------------------------------------------------