%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:03:07 PM UTC 2026
% Result : Unsatisfiable 19.74s 2.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:05:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 19.74/2.94 % Refutation found
% 19.74/2.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.74/2.94 % SZS output start CNFRefutation for theBenchmark
% 19.74/2.94 fof(f5,axiom,(
% 19.74/2.94 (![X]: (join(X,n0,X) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f11,axiom,(
% 19.74/2.94 (![X,Y,Z]: (( ~ meet(X,Y,Z)| meet(Y,X,Z) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f12,axiom,(
% 19.74/2.94 (![X,Y,Z]: (( ~ join(X,Y,Z)| join(Y,X,Z) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f13,axiom,(
% 19.74/2.94 (![X,Y,Z]: (( ~ meet(X,Y,Z)| join(X,Z,X) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f14,axiom,(
% 19.74/2.94 (![X,Y,Z]: (( ~ join(X,Y,Z)| meet(X,Z,X) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f15,axiom,(
% 19.74/2.94 (![X,Y,Xy,Z,Yz,Xyz]: (( ~ meet(X,Y,Xy)| ~ meet(Y,Z,Yz)| ~ meet(X,Yz,Xyz)| meet(Xy,Z,Xyz) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f17,axiom,(
% 19.74/2.94 (![X,Y,Xy,Z,Yz,Xyz]: (( ~ join(X,Y,Xy)| ~ join(Y,Z,Yz)| ~ join(X,Yz,Xyz)| join(Xy,Z,Xyz) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f20,axiom,(
% 19.74/2.94 (![X,Z,Y,X1,Y1,Z1]: (( ~ meet(X,Z,X)| ~ join(X,Y,X1)| ~ meet(Y,Z,Y1)| ~ join(X,Y1,Z1)| meet(Z,X1,Z1) ) ))),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f21,negated_conjecture,(
% 19.74/2.94 ~ meet(a2,b2,r1) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f22,negated_conjecture,(
% 19.74/2.94 meet(a,b,c) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f24,negated_conjecture,(
% 19.74/2.94 meet(c,r2,n0) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f25,negated_conjecture,(
% 19.74/2.94 meet(r2,b,e) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f26,negated_conjecture,(
% 19.74/2.94 join(a,b,c2) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f28,negated_conjecture,(
% 19.74/2.94 meet(c2,r1,n0) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f29,negated_conjecture,(
% 19.74/2.94 meet(r2,a,d) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f30,negated_conjecture,(
% 19.74/2.94 join(r1,e,a2) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f31,negated_conjecture,(
% 19.74/2.94 join(r1,d,b2) ),
% 19.74/2.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.74/2.94 fof(f36,plain,(
% 19.74/2.94 ![X0]: (join(X0,n0,X0))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f5])).
% 19.74/2.94 fof(f42,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~meet(X0,X1,X2)|meet(X1,X0,X2))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f11])).
% 19.74/2.94 fof(f43,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~join(X0,X1,X2)|join(X1,X0,X2))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f12])).
% 19.74/2.94 fof(f44,plain,(
% 19.74/2.94 ![X,Z]: ((![Y]: ~meet(X,Y,Z))|join(X,Z,X))),
% 19.74/2.94 inference(miniscoping,[status(thm)],[f13])).
% 19.74/2.94 fof(f45,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~meet(X0,X1,X2)|join(X0,X2,X0))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f44])).
% 19.74/2.94 fof(f46,plain,(
% 19.74/2.94 ![X,Z]: ((![Y]: ~join(X,Y,Z))|meet(X,Z,X))),
% 19.74/2.94 inference(miniscoping,[status(thm)],[f14])).
% 19.74/2.94 fof(f47,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~join(X0,X1,X2)|meet(X0,X2,X0))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f46])).
% 19.74/2.94 fof(f48,plain,(
% 19.74/2.94 ![Xy,Z,Xyz]: ((![X,Yz]: ((![Y]: (~meet(X,Y,Xy)|~meet(Y,Z,Yz)))|~meet(X,Yz,Xyz)))|meet(Xy,Z,Xyz))),
% 19.74/2.94 inference(miniscoping,[status(thm)],[f15])).
% 19.74/2.94 fof(f49,plain,(
% 19.74/2.94 ![X0,X1,X2,X3,X4,X5]: (~meet(X0,X1,X2)|~meet(X1,X3,X4)|~meet(X0,X4,X5)|meet(X2,X3,X5))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f48])).
% 19.74/2.94 fof(f52,plain,(
% 19.74/2.94 ![Xy,Z,Xyz]: ((![X,Yz]: ((![Y]: (~join(X,Y,Xy)|~join(Y,Z,Yz)))|~join(X,Yz,Xyz)))|join(Xy,Z,Xyz))),
% 19.74/2.94 inference(miniscoping,[status(thm)],[f17])).
% 19.74/2.94 fof(f53,plain,(
% 19.74/2.94 ![X0,X1,X2,X3,X4,X5]: (~join(X0,X1,X2)|~join(X1,X3,X4)|~join(X0,X4,X5)|join(X2,X3,X5))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f52])).
% 19.74/2.94 fof(f58,plain,(
% 19.74/2.94 ![Z,X1,Z1]: ((![X,Y1]: ((![Y]: ((~meet(X,Z,X)|~join(X,Y,X1))|~meet(Y,Z,Y1)))|~join(X,Y1,Z1)))|meet(Z,X1,Z1))),
% 19.74/2.94 inference(miniscoping,[status(thm)],[f20])).
% 19.74/2.94 fof(f59,plain,(
% 19.74/2.94 ![X0,X1,X2,X3,X4,X5]: (~meet(X0,X1,X0)|~join(X0,X2,X3)|~meet(X2,X1,X4)|~join(X0,X4,X5)|meet(X1,X3,X5))),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f58])).
% 19.74/2.94 fof(f60,plain,(
% 19.74/2.94 ~meet(a2,b2,r1)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f21])).
% 19.74/2.94 fof(f61,plain,(
% 19.74/2.94 meet(a,b,c)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f22])).
% 19.74/2.94 fof(f63,plain,(
% 19.74/2.94 meet(c,r2,n0)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f24])).
% 19.74/2.94 fof(f64,plain,(
% 19.74/2.94 meet(r2,b,e)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f25])).
% 19.74/2.94 fof(f65,plain,(
% 19.74/2.94 join(a,b,c2)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f26])).
% 19.74/2.94 fof(f67,plain,(
% 19.74/2.94 meet(c2,r1,n0)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f28])).
% 19.74/2.94 fof(f68,plain,(
% 19.74/2.94 meet(r2,a,d)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f29])).
% 19.74/2.94 fof(f69,plain,(
% 19.74/2.94 join(r1,e,a2)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f30])).
% 19.74/2.94 fof(f70,plain,(
% 19.74/2.94 join(r1,d,b2)),
% 19.74/2.94 inference(cnf_transformation,[status(thm)],[f31])).
% 19.74/2.94 fof(f103,plain,(
% 19.74/2.94 meet(r2,c,n0)),
% 19.74/2.94 inference(resolution,[status(thm)],[f63,f42])).
% 19.74/2.94 fof(f106,plain,(
% 19.74/2.94 meet(b,r2,e)),
% 19.74/2.94 inference(resolution,[status(thm)],[f64,f42])).
% 19.74/2.94 fof(f107,plain,(
% 19.74/2.94 meet(a,c2,a)),
% 19.74/2.94 inference(resolution,[status(thm)],[f65,f47])).
% 19.74/2.94 fof(f113,plain,(
% 19.74/2.94 meet(r1,c2,n0)),
% 19.74/2.94 inference(resolution,[status(thm)],[f67,f42])).
% 19.74/2.94 fof(f124,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~join(b,X0,X1)|~join(a,X1,X2)|join(c2,X0,X2))),
% 19.74/2.94 inference(resolution,[status(thm)],[f53,f65])).
% 19.74/2.94 fof(f145,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~meet(a,X0,X1)|~meet(r2,X1,X2)|meet(d,X0,X2))),
% 19.74/2.94 inference(resolution,[status(thm)],[f68,f49])).
% 19.74/2.94 fof(f146,plain,(
% 19.74/2.94 join(r2,d,r2)),
% 19.74/2.94 inference(resolution,[status(thm)],[f68,f45])).
% 19.74/2.94 fof(f154,plain,(
% 19.74/2.94 meet(r1,b2,r1)),
% 19.74/2.94 inference(resolution,[status(thm)],[f70,f47])).
% 19.74/2.94 fof(f155,plain,(
% 19.74/2.94 join(d,r1,b2)),
% 19.74/2.94 inference(resolution,[status(thm)],[f70,f43])).
% 19.74/2.94 fof(f219,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~meet(r2,X0,X1)|~meet(b,X1,X2)|meet(e,X0,X2))),
% 19.74/2.94 inference(resolution,[status(thm)],[f106,f49])).
% 19.74/2.94 fof(f220,plain,(
% 19.74/2.94 join(b,e,b)),
% 19.74/2.94 inference(resolution,[status(thm)],[f106,f45])).
% 19.74/2.94 fof(f309,plain,(
% 19.74/2.94 join(d,r2,r2)),
% 19.74/2.94 inference(resolution,[status(thm)],[f146,f43])).
% 19.74/2.94 fof(f395,plain,(
% 19.74/2.94 ![X0,X1,X2,X3]: (~join(r1,X0,X1)|~meet(X0,b2,X2)|~join(r1,X2,X3)|meet(b2,X1,X3))),
% 19.74/2.94 inference(resolution,[status(thm)],[f154,f59])).
% 19.74/2.94 fof(f559,plain,(
% 19.74/2.94 ![X0]: (~join(a,b,X0)|join(c2,e,X0))),
% 19.74/2.94 inference(resolution,[status(thm)],[f220,f124])).
% 19.74/2.94 fof(f641,plain,(
% 19.74/2.94 meet(d,r2,d)),
% 19.74/2.94 inference(resolution,[status(thm)],[f309,f47])).
% 19.74/2.94 fof(f650,plain,(
% 19.74/2.94 ![X0]: (~meet(r2,a,X0)|meet(d,c2,X0))),
% 19.74/2.94 inference(resolution,[status(thm)],[f145,f107])).
% 19.74/2.94 fof(f651,plain,(
% 19.74/2.94 ![X0]: (~meet(r2,c,X0)|meet(d,b,X0))),
% 19.74/2.94 inference(resolution,[status(thm)],[f145,f61])).
% 19.74/2.94 fof(f967,plain,(
% 19.74/2.94 meet(r2,d,d)),
% 19.74/2.94 inference(resolution,[status(thm)],[f641,f42])).
% 19.74/2.94 fof(f1260,plain,(
% 19.74/2.94 ![X0]: (~meet(b,d,X0)|meet(e,d,X0))),
% 19.74/2.94 inference(resolution,[status(thm)],[f219,f967])).
% 19.74/2.94 fof(f1723,plain,(
% 19.74/2.94 ![X0,X1]: (~meet(e,b2,X0)|~join(r1,X0,X1)|meet(b2,a2,X1))),
% 19.74/2.94 inference(resolution,[status(thm)],[f395,f69])).
% 19.74/2.94 fof(f1979,plain,(
% 19.74/2.94 join(c2,e,c2)),
% 19.74/2.94 inference(resolution,[status(thm)],[f559,f65])).
% 19.74/2.94 fof(f2000,plain,(
% 19.74/2.94 join(e,c2,c2)),
% 19.74/2.94 inference(resolution,[status(thm)],[f1979,f43])).
% 19.74/2.94 fof(f2017,plain,(
% 19.74/2.94 meet(e,c2,e)),
% 19.74/2.94 inference(resolution,[status(thm)],[f2000,f47])).
% 19.74/2.94 fof(f2028,plain,(
% 19.74/2.94 ![X0,X1,X2]: (~meet(c2,X0,X1)|~meet(e,X1,X2)|meet(e,X0,X2))),
% 19.74/2.94 inference(resolution,[status(thm)],[f2017,f49])).
% 19.74/2.94 fof(f2132,plain,(
% 19.74/2.94 meet(d,c2,d)),
% 19.74/2.94 inference(resolution,[status(thm)],[f650,f68])).
% 19.74/2.94 fof(f2133,plain,(
% 19.74/2.94 meet(d,b,n0)),
% 19.74/2.94 inference(resolution,[status(thm)],[f651,f103])).
% 19.74/2.94 fof(f2144,plain,(
% 19.74/2.94 ![X0,X1,X2,X3]: (~join(d,X0,X1)|~meet(X0,c2,X2)|~join(d,X2,X3)|meet(c2,X1,X3))),
% 19.74/2.94 inference(resolution,[status(thm)],[f2132,f59])).
% 19.74/2.94 fof(f2161,plain,(
% 19.74/2.94 meet(b,d,n0)),
% 19.74/2.94 inference(resolution,[status(thm)],[f2133,f42])).
% 19.74/2.94 fof(f3254,plain,(
% 19.74/2.94 meet(e,d,n0)),
% 19.74/2.94 inference(resolution,[status(thm)],[f1260,f2161])).
% 19.74/2.94 fof(f3673,plain,(
% 19.74/2.94 ![X0,X1]: (~meet(r1,c2,X0)|~join(d,X0,X1)|meet(c2,b2,X1))),
% 19.74/2.94 inference(resolution,[status(thm)],[f2144,f155])).
% 19.74/2.94 fof(f5061,plain,(
% 19.74/2.94 ![X0]: (~join(d,n0,X0)|meet(c2,b2,X0))),
% 19.74/2.94 inference(resolution,[status(thm)],[f3673,f113])).
% 19.74/2.94 fof(f5890,plain,(
% 19.74/2.94 meet(c2,b2,d)),
% 19.74/2.94 inference(resolution,[status(thm)],[f5061,f36])).
% 19.74/2.94 fof(f6010,plain,(
% 19.74/2.94 ![X0]: (~meet(e,d,X0)|meet(e,b2,X0))),
% 19.74/2.96 inference(resolution,[status(thm)],[f2028,f5890])).
% 19.74/2.96 fof(f6887,plain,(
% 19.74/2.96 meet(e,b2,n0)),
% 19.74/2.96 inference(resolution,[status(thm)],[f6010,f3254])).
% 19.74/2.96 fof(f6892,plain,(
% 19.74/2.96 ![X0]: (~join(r1,n0,X0)|meet(b2,a2,X0))),
% 19.74/2.96 inference(resolution,[status(thm)],[f6887,f1723])).
% 19.74/2.96 fof(f7764,plain,(
% 19.74/2.96 meet(b2,a2,r1)),
% 19.74/2.96 inference(resolution,[status(thm)],[f6892,f36])).
% 19.74/2.96 fof(f7792,plain,(
% 19.74/2.96 meet(a2,b2,r1)),
% 19.74/2.96 inference(resolution,[status(thm)],[f7764,f42])).
% 19.74/2.96 fof(f7793,plain,(
% 19.74/2.96 $false),
% 19.74/2.96 inference(forward_subsumption_resolution,[status(thm)],[f7792,f60])).
% 19.74/2.96 % SZS output end CNFRefutation for theBenchmark.p
% 19.74/2.97 % Elapsed time: 2.587033 seconds
% 19.74/2.97 % CPU time: 20.239795 seconds
% 19.74/2.97 % Total memory used: 119.187 MB
% 19.74/2.97 % Net memory used: 101.356 MB
%------------------------------------------------------------------------------