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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : COL088-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 12:09:06 PM UTC 2026

% Result   : Unsatisfiable 0.18s 5.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : COL088-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.44  % Computer : n015.cluster.edu
% 0.18/5.44  % Model    : x86_64 x86_64
% 0.18/5.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44  % Memory   : 8046.5625MB
% 0.18/5.44  % OS       : Linux 6.8.0-71-generic
% 0.18/5.44  % CPULimit : 300
% 0.18/5.44  % WCLimit  : 300
% 0.18/5.44  % DateTime : Mon Sep 21 14:12:57 UTC 2026
% 0.18/5.44  % CPUTime  : 
% 0.18/5.46  % Drodi V4.1.1
% 0.18/5.49  % Refutation found
% 0.18/5.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/5.49  % SZS output start CNFRefutation for theBenchmark
% 0.18/5.49  fof(f11,axiom,(
% 0.18/5.49    (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(comb_app(P,Q),comb) ) ))),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f12,axiom,(
% 0.18/5.49    (![A]: (( ~ member(A,comb)| member(pair(A,A),rtrancl(contract)) ) ))),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f32,axiom,(
% 0.18/5.49    (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f33,axiom,(
% 0.18/5.49    (![R]: (trans(rtrancl(R)) ))),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f34,axiom,(
% 0.18/5.49    (![A,B]: (( ~ member(pair(A,B),contract)| member(B,comb) ) ))),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f37,axiom,(
% 0.18/5.49    (![P3,Q3,R3,C]: (( ~ member(pair(P3,Q3),contract)| ~ member(R3,comb)| ~ member(pair(comb_app(Q3,R3),C),rtrancl(contract))| member(pair(comb_app(P3,R3),C),rtrancl(contract)) ) ))),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f39,hypothesis,(
% 0.18/5.49    member(r,comb) ),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f42,hypothesis,(
% 0.18/5.49    member(pair(y,z),contract) ),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f43,hypothesis,(
% 0.18/5.49    member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)) ),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f44,negated_conjecture,(
% 0.18/5.49    ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)) ),
% 0.18/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.49  fof(f59,plain,(
% 0.18/5.49    ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,X1),comb))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/5.49  fof(f60,plain,(
% 0.18/5.49    ![X0]: (~member(X0,comb)|member(pair(X0,X0),rtrancl(contract)))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/5.49  fof(f86,plain,(
% 0.18/5.49    ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 0.18/5.49    inference(miniscoping,[status(thm)],[f32])).
% 0.18/5.49  fof(f87,plain,(
% 0.18/5.49    ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f86])).
% 0.18/5.49  fof(f88,plain,(
% 0.18/5.49    ![X0]: (trans(rtrancl(X0)))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f33])).
% 0.18/5.49  fof(f89,plain,(
% 0.18/5.49    ![B]: ((![A]: ~member(pair(A,B),contract))|member(B,comb))),
% 0.18/5.49    inference(miniscoping,[status(thm)],[f34])).
% 0.18/5.49  fof(f90,plain,(
% 0.18/5.49    ![X0,X1]: (~member(pair(X0,X1),contract)|member(X1,comb))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f89])).
% 0.18/5.49  fof(f93,plain,(
% 0.18/5.49    ![P3,R3,C]: ((![Q3]: ((~member(pair(P3,Q3),contract)|~member(R3,comb))|~member(pair(comb_app(Q3,R3),C),rtrancl(contract))))|member(pair(comb_app(P3,R3),C),rtrancl(contract)))),
% 0.18/5.49    inference(miniscoping,[status(thm)],[f37])).
% 0.18/5.49  fof(f94,plain,(
% 0.18/5.49    ![X0,X1,X2,X3]: (~member(pair(X0,X1),contract)|~member(X2,comb)|~member(pair(comb_app(X1,X2),X3),rtrancl(contract))|member(pair(comb_app(X0,X2),X3),rtrancl(contract)))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f93])).
% 0.18/5.49  fof(f97,plain,(
% 0.18/5.49    member(r,comb)),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f39])).
% 0.18/5.49  fof(f100,plain,(
% 0.18/5.49    member(pair(y,z),contract)),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f42])).
% 0.18/5.49  fof(f101,plain,(
% 0.18/5.49    member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f43])).
% 0.18/5.49  fof(f102,plain,(
% 0.18/5.49    ~member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract))),
% 0.18/5.49    inference(cnf_transformation,[status(thm)],[f44])).
% 0.18/5.49  fof(f105,plain,(
% 0.18/5.49    member(z,comb)),
% 0.18/5.49    inference(resolution,[status(thm)],[f90,f100])).
% 0.18/5.49  fof(f106,plain,(
% 0.18/5.49    ![X0,X1]: (~member(X0,comb)|~member(pair(comb_app(z,X0),X1),rtrancl(contract))|member(pair(comb_app(y,X0),X1),rtrancl(contract)))),
% 0.18/5.49    inference(resolution,[status(thm)],[f94,f100])).
% 0.18/5.49  fof(f116,plain,(
% 0.18/5.49    ![X0,X1,X2,X3]: (~member(pair(X0,X1),rtrancl(X2))|~member(pair(X1,X3),rtrancl(X2))|member(pair(X0,X3),rtrancl(X2)))),
% 0.18/5.49    inference(resolution,[status(thm)],[f87,f88])).
% 0.18/5.49  fof(f117,plain,(
% 0.22/5.50    ![X0]: (~member(pair(comb_app(p,r),X0),rtrancl(contract))|~member(pair(X0,comb_app(z,r)),rtrancl(contract)))),
% 0.22/5.50    inference(resolution,[status(thm)],[f116,f102])).
% 0.22/5.50  fof(f120,plain,(
% 0.22/5.50    ~member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract))),
% 0.22/5.50    inference(resolution,[status(thm)],[f117,f101])).
% 0.22/5.50  fof(f123,plain,(
% 0.22/5.50    ~member(r,comb)|~member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract))),
% 0.22/5.50    inference(resolution,[status(thm)],[f120,f106])).
% 0.22/5.50  fof(f125,plain,(
% 0.22/5.50    ~member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract))),
% 0.22/5.50    inference(forward_subsumption_resolution,[status(thm)],[f123,f97])).
% 0.22/5.50  fof(f126,plain,(
% 0.22/5.50    ~member(comb_app(z,r),comb)),
% 0.22/5.50    inference(resolution,[status(thm)],[f125,f60])).
% 0.22/5.50  fof(f128,plain,(
% 0.22/5.50    ~member(z,comb)|~member(r,comb)),
% 0.22/5.50    inference(resolution,[status(thm)],[f126,f59])).
% 0.22/5.50  fof(f130,plain,(
% 0.22/5.50    ~member(r,comb)),
% 0.22/5.50    inference(forward_subsumption_resolution,[status(thm)],[f128,f105])).
% 0.22/5.50  fof(f131,plain,(
% 0.22/5.50    $false),
% 0.22/5.50    inference(backward_subsumption_resolution,[status(thm)],[f97,f130])).
% 0.22/5.50  % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.53  % Elapsed time: 0.069896 seconds
% 0.22/5.53  % CPU time: 0.224861 seconds
% 0.22/5.53  % Total memory used: 81.970 MB
% 0.22/5.53  % Net memory used: 81.879 MB
%------------------------------------------------------------------------------