%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT005-1 : 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 : n010.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 29.31s 4.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 23:05:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 29.31/4.20 % Refutation found
% 29.31/4.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.31/4.20 % SZS output start CNFRefutation for theBenchmark
% 29.31/4.20 fof(f3,axiom,(
% 29.31/4.20 (![X]: (join(n0,X,X) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f7,axiom,(
% 29.31/4.20 (![X,Y,Z]: (( ~ meet(X,Y,Z)| meet(Y,X,Z) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f8,axiom,(
% 29.31/4.20 (![X,Y,Z]: (( ~ join(X,Y,Z)| join(Y,X,Z) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f9,axiom,(
% 29.31/4.20 (![X,Y,Z]: (( ~ meet(X,Y,Z)| join(X,Z,X) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f10,axiom,(
% 29.31/4.20 (![X,Y,Z]: (( ~ join(X,Y,Z)| meet(X,Z,X) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f11,axiom,(
% 29.31/4.20 (![X,Y,Xy,Z,Yz,Xyz]: (( ~ meet(X,Y,Xy)| ~ meet(Y,Z,Yz)| ~ meet(X,Yz,Xyz)| meet(Xy,Z,Xyz) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f13,axiom,(
% 29.31/4.20 (![X,Y,Xy,Z,Yz,Xyz]: (( ~ join(X,Y,Xy)| ~ join(Y,Z,Yz)| ~ join(X,Yz,Xyz)| join(Xy,Z,Xyz) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f16,axiom,(
% 29.31/4.20 (![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) ) ))),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f19,negated_conjecture,(
% 29.31/4.20 meet(a,b,c) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f21,negated_conjecture,(
% 29.31/4.20 meet(c,r2,n0) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f22,negated_conjecture,(
% 29.31/4.20 meet(r2,b,e) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f23,negated_conjecture,(
% 29.31/4.20 join(a,b,c2) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f25,negated_conjecture,(
% 29.31/4.20 meet(c2,r1,n0) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f26,negated_conjecture,(
% 29.31/4.20 meet(r2,a,d) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f27,negated_conjecture,(
% 29.31/4.20 join(r1,e,a2) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f28,negated_conjecture,(
% 29.31/4.20 join(r1,d,b2) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f29,negated_conjecture,(
% 29.31/4.20 ~ meet(a2,b2,r1) ),
% 29.31/4.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.31/4.20 fof(f32,plain,(
% 29.31/4.20 ![X0]: (join(n0,X0,X0))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f3])).
% 29.31/4.20 fof(f36,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~meet(X0,X1,X2)|meet(X1,X0,X2))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f7])).
% 29.31/4.20 fof(f37,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~join(X0,X1,X2)|join(X1,X0,X2))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f8])).
% 29.31/4.20 fof(f38,plain,(
% 29.31/4.20 ![X,Z]: ((![Y]: ~meet(X,Y,Z))|join(X,Z,X))),
% 29.31/4.20 inference(miniscoping,[status(thm)],[f9])).
% 29.31/4.20 fof(f39,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~meet(X0,X1,X2)|join(X0,X2,X0))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f38])).
% 29.31/4.20 fof(f40,plain,(
% 29.31/4.20 ![X,Z]: ((![Y]: ~join(X,Y,Z))|meet(X,Z,X))),
% 29.31/4.20 inference(miniscoping,[status(thm)],[f10])).
% 29.31/4.20 fof(f41,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~join(X0,X1,X2)|meet(X0,X2,X0))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f40])).
% 29.31/4.20 fof(f42,plain,(
% 29.31/4.20 ![Xy,Z,Xyz]: ((![X,Yz]: ((![Y]: (~meet(X,Y,Xy)|~meet(Y,Z,Yz)))|~meet(X,Yz,Xyz)))|meet(Xy,Z,Xyz))),
% 29.31/4.20 inference(miniscoping,[status(thm)],[f11])).
% 29.31/4.20 fof(f43,plain,(
% 29.31/4.20 ![X0,X1,X2,X3,X4,X5]: (~meet(X0,X1,X2)|~meet(X1,X3,X4)|~meet(X0,X4,X5)|meet(X2,X3,X5))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f42])).
% 29.31/4.20 fof(f46,plain,(
% 29.31/4.20 ![Xy,Z,Xyz]: ((![X,Yz]: ((![Y]: (~join(X,Y,Xy)|~join(Y,Z,Yz)))|~join(X,Yz,Xyz)))|join(Xy,Z,Xyz))),
% 29.31/4.20 inference(miniscoping,[status(thm)],[f13])).
% 29.31/4.20 fof(f47,plain,(
% 29.31/4.20 ![X0,X1,X2,X3,X4,X5]: (~join(X0,X1,X2)|~join(X1,X3,X4)|~join(X0,X4,X5)|join(X2,X3,X5))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f46])).
% 29.31/4.20 fof(f52,plain,(
% 29.31/4.20 ![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))),
% 29.31/4.20 inference(miniscoping,[status(thm)],[f16])).
% 29.31/4.20 fof(f53,plain,(
% 29.31/4.20 ![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))),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f52])).
% 29.31/4.20 fof(f58,plain,(
% 29.31/4.20 meet(a,b,c)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f19])).
% 29.31/4.20 fof(f60,plain,(
% 29.31/4.20 meet(c,r2,n0)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f21])).
% 29.31/4.20 fof(f61,plain,(
% 29.31/4.20 meet(r2,b,e)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f22])).
% 29.31/4.20 fof(f62,plain,(
% 29.31/4.20 join(a,b,c2)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f23])).
% 29.31/4.20 fof(f64,plain,(
% 29.31/4.20 meet(c2,r1,n0)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f25])).
% 29.31/4.20 fof(f65,plain,(
% 29.31/4.20 meet(r2,a,d)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f26])).
% 29.31/4.20 fof(f66,plain,(
% 29.31/4.20 join(r1,e,a2)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f27])).
% 29.31/4.20 fof(f67,plain,(
% 29.31/4.20 join(r1,d,b2)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f28])).
% 29.31/4.20 fof(f68,plain,(
% 29.31/4.20 ~meet(a2,b2,r1)),
% 29.31/4.20 inference(cnf_transformation,[status(thm)],[f29])).
% 29.31/4.20 fof(f69,plain,(
% 29.31/4.20 meet(b,r2,e)),
% 29.31/4.20 inference(resolution,[status(thm)],[f36,f61])).
% 29.31/4.20 fof(f72,plain,(
% 29.31/4.20 meet(r2,c,n0)),
% 29.31/4.20 inference(resolution,[status(thm)],[f36,f60])).
% 29.31/4.20 fof(f77,plain,(
% 29.31/4.20 ![X0]: (join(X0,n0,X0))),
% 29.31/4.20 inference(resolution,[status(thm)],[f37,f32])).
% 29.31/4.20 fof(f88,plain,(
% 29.31/4.20 meet(a,c2,a)),
% 29.31/4.20 inference(resolution,[status(thm)],[f41,f62])).
% 29.31/4.20 fof(f108,plain,(
% 29.31/4.20 meet(r1,c2,n0)),
% 29.31/4.20 inference(resolution,[status(thm)],[f64,f36])).
% 29.31/4.20 fof(f110,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~meet(a,X0,X1)|~meet(r2,X1,X2)|meet(d,X0,X2))),
% 29.31/4.20 inference(resolution,[status(thm)],[f65,f43])).
% 29.31/4.20 fof(f111,plain,(
% 29.31/4.20 join(r2,d,r2)),
% 29.31/4.20 inference(resolution,[status(thm)],[f65,f39])).
% 29.31/4.20 fof(f123,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~join(b,X0,X1)|~join(a,X1,X2)|join(c2,X0,X2))),
% 29.31/4.20 inference(resolution,[status(thm)],[f47,f62])).
% 29.31/4.20 fof(f157,plain,(
% 29.31/4.20 meet(r1,b2,r1)),
% 29.31/4.20 inference(resolution,[status(thm)],[f67,f41])).
% 29.31/4.20 fof(f158,plain,(
% 29.31/4.20 join(d,r1,b2)),
% 29.31/4.20 inference(resolution,[status(thm)],[f67,f37])).
% 29.31/4.20 fof(f170,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~meet(r2,X0,X1)|~meet(b,X1,X2)|meet(e,X0,X2))),
% 29.31/4.20 inference(resolution,[status(thm)],[f69,f43])).
% 29.31/4.20 fof(f171,plain,(
% 29.31/4.20 join(b,e,b)),
% 29.31/4.20 inference(resolution,[status(thm)],[f69,f39])).
% 29.31/4.20 fof(f214,plain,(
% 29.31/4.20 join(d,r2,r2)),
% 29.31/4.20 inference(resolution,[status(thm)],[f111,f37])).
% 29.31/4.20 fof(f369,plain,(
% 29.31/4.20 ![X0,X1,X2,X3]: (~join(r1,X0,X1)|~meet(X0,b2,X2)|~join(r1,X2,X3)|meet(b2,X1,X3))),
% 29.31/4.20 inference(resolution,[status(thm)],[f157,f53])).
% 29.31/4.20 fof(f402,plain,(
% 29.31/4.20 ![X0]: (~meet(r2,a,X0)|meet(d,c2,X0))),
% 29.31/4.20 inference(resolution,[status(thm)],[f110,f88])).
% 29.31/4.20 fof(f403,plain,(
% 29.31/4.20 ![X0]: (~meet(r2,c,X0)|meet(d,b,X0))),
% 29.31/4.20 inference(resolution,[status(thm)],[f110,f58])).
% 29.31/4.20 fof(f422,plain,(
% 29.31/4.20 ![X0]: (~join(a,b,X0)|join(c2,e,X0))),
% 29.31/4.20 inference(resolution,[status(thm)],[f123,f171])).
% 29.31/4.20 fof(f546,plain,(
% 29.31/4.20 meet(d,r2,d)),
% 29.31/4.20 inference(resolution,[status(thm)],[f214,f41])).
% 29.31/4.20 fof(f988,plain,(
% 29.31/4.20 meet(r2,d,d)),
% 29.31/4.20 inference(resolution,[status(thm)],[f546,f36])).
% 29.31/4.20 fof(f1309,plain,(
% 29.31/4.20 ![X0]: (~meet(b,d,X0)|meet(e,d,X0))),
% 29.31/4.20 inference(resolution,[status(thm)],[f988,f170])).
% 29.31/4.20 fof(f1919,plain,(
% 29.31/4.20 ![X0,X1]: (~meet(e,b2,X0)|~join(r1,X0,X1)|meet(b2,a2,X1))),
% 29.31/4.20 inference(resolution,[status(thm)],[f369,f66])).
% 29.31/4.20 fof(f1969,plain,(
% 29.31/4.20 meet(d,c2,d)),
% 29.31/4.20 inference(resolution,[status(thm)],[f402,f65])).
% 29.31/4.20 fof(f1977,plain,(
% 29.31/4.20 ![X0,X1,X2,X3]: (~join(d,X0,X1)|~meet(X0,c2,X2)|~join(d,X2,X3)|meet(c2,X1,X3))),
% 29.31/4.20 inference(resolution,[status(thm)],[f1969,f53])).
% 29.31/4.20 fof(f1999,plain,(
% 29.31/4.20 meet(d,b,n0)),
% 29.31/4.20 inference(resolution,[status(thm)],[f403,f72])).
% 29.31/4.20 fof(f2033,plain,(
% 29.31/4.20 meet(b,d,n0)),
% 29.31/4.20 inference(resolution,[status(thm)],[f1999,f36])).
% 29.31/4.20 fof(f2157,plain,(
% 29.31/4.20 join(c2,e,c2)),
% 29.31/4.20 inference(resolution,[status(thm)],[f422,f62])).
% 29.31/4.20 fof(f2179,plain,(
% 29.31/4.20 join(e,c2,c2)),
% 29.31/4.20 inference(resolution,[status(thm)],[f2157,f37])).
% 29.31/4.20 fof(f2200,plain,(
% 29.31/4.20 meet(e,c2,e)),
% 29.31/4.20 inference(resolution,[status(thm)],[f2179,f41])).
% 29.31/4.20 fof(f2217,plain,(
% 29.31/4.20 ![X0,X1,X2]: (~meet(c2,X0,X1)|~meet(e,X1,X2)|meet(e,X0,X2))),
% 29.31/4.20 inference(resolution,[status(thm)],[f2200,f43])).
% 29.31/4.20 fof(f3581,plain,(
% 29.31/4.20 meet(e,d,n0)),
% 29.31/4.20 inference(resolution,[status(thm)],[f1309,f2033])).
% 29.31/4.20 fof(f4284,plain,(
% 29.31/4.20 ![X0,X1]: (~meet(r1,c2,X0)|~join(d,X0,X1)|meet(c2,b2,X1))),
% 29.31/4.20 inference(resolution,[status(thm)],[f1977,f158])).
% 29.31/4.20 fof(f5902,plain,(
% 29.31/4.20 ![X0]: (~join(d,n0,X0)|meet(c2,b2,X0))),
% 29.31/4.20 inference(resolution,[status(thm)],[f4284,f108])).
% 29.31/4.20 fof(f6889,plain,(
% 29.31/4.20 meet(c2,b2,d)),
% 29.31/4.20 inference(resolution,[status(thm)],[f5902,f77])).
% 5.01/4.21 fof(f7056,plain,(
% 5.01/4.21 ![X0]: (~meet(e,d,X0)|meet(e,b2,X0))),
% 5.01/4.21 inference(resolution,[status(thm)],[f2217,f6889])).
% 5.01/4.21 fof(f8052,plain,(
% 5.01/4.21 meet(e,b2,n0)),
% 5.01/4.21 inference(resolution,[status(thm)],[f7056,f3581])).
% 5.01/4.21 fof(f8055,plain,(
% 5.01/4.21 ![X0]: (~join(r1,n0,X0)|meet(b2,a2,X0))),
% 5.01/4.21 inference(resolution,[status(thm)],[f8052,f1919])).
% 5.01/4.21 fof(f9032,plain,(
% 5.01/4.21 meet(b2,a2,r1)),
% 5.01/4.21 inference(resolution,[status(thm)],[f8055,f77])).
% 5.01/4.21 fof(f9064,plain,(
% 5.01/4.21 meet(a2,b2,r1)),
% 5.01/4.21 inference(resolution,[status(thm)],[f9032,f36])).
% 5.01/4.21 fof(f9065,plain,(
% 5.01/4.21 $false),
% 5.01/4.21 inference(forward_subsumption_resolution,[status(thm)],[f9064,f68])).
% 5.01/4.21 % SZS output end CNFRefutation for theBenchmark.p
% 5.01/4.21 % Elapsed time: 3.841864 seconds
% 5.01/4.21 % CPU time: 30.257858 seconds
% 5.01/4.21 % Total memory used: 129.370 MB
% 5.01/4.21 % Net memory used: 108.001 MB
%------------------------------------------------------------------------------