%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:07:39 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 % Computer : n011.cluster.edu
% 0.18/0.47 % Model : x86_64 x86_64
% 0.18/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47 % Memory : 8046.5625MB
% 0.18/0.47 % OS : Linux 6.8.0-71-generic
% 0.18/0.47 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Mon Sep 21 13:55:10 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.22/0.99 % Refutation found
% 0.22/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.99 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.99 fof(f1,axiom,(
% 0.22/0.99 (![X,Y]: (( ~ defined(X,Y)| product(X,Y,compose(X,Y)) ) ))),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f2,axiom,(
% 0.22/0.99 (![X,Y,Z]: (( ~ product(X,Y,Z)| defined(X,Y) ) ))),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f3,axiom,(
% 0.22/0.99 (![X,Y,Xy,Z]: (( ~ product(X,Y,Xy)| ~ defined(Xy,Z)| defined(Y,Z) ) ))),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f5,axiom,(
% 0.22/0.99 (![X,Y,Xy,Z,Xyz,Yz]: (( ~ product(X,Y,Xy)| ~ product(Xy,Z,Xyz)| ~ product(Y,Z,Yz)| product(X,Yz,Xyz) ) ))),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f19,hypothesis,(
% 0.22/0.99 (![X,W,Y]: (( ~ product(a,X,W)| ~ product(a,Y,W)| X = Y ) ))),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f20,hypothesis,(
% 0.22/0.99 (![X,W,Y]: (( ~ product(b,X,W)| ~ product(b,Y,W)| X = Y ) ))),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f21,hypothesis,(
% 0.22/0.99 product(a,b,c) ),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f22,hypothesis,(
% 0.22/0.99 product(c,h,d) ),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f23,hypothesis,(
% 0.22/0.99 product(c,g,d) ),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f24,negated_conjecture,(
% 0.22/0.99 h != g ),
% 0.22/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.99 fof(f25,plain,(
% 0.22/0.99 ![X0,X1]: (~defined(X0,X1)|product(X0,X1,compose(X0,X1)))),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.99 fof(f26,plain,(
% 0.22/0.99 ![X,Y]: ((![Z]: ~product(X,Y,Z))|defined(X,Y))),
% 0.22/0.99 inference(miniscoping,[status(thm)],[f2])).
% 0.22/0.99 fof(f27,plain,(
% 0.22/0.99 ![X0,X1,X2]: (~product(X0,X1,X2)|defined(X0,X1))),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f26])).
% 0.22/0.99 fof(f28,plain,(
% 0.22/0.99 ![Y,Z]: ((![Xy]: ((![X]: ~product(X,Y,Xy))|~defined(Xy,Z)))|defined(Y,Z))),
% 0.22/0.99 inference(miniscoping,[status(thm)],[f3])).
% 0.22/0.99 fof(f29,plain,(
% 0.22/0.99 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X2,X3)|defined(X1,X3))),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f28])).
% 0.22/0.99 fof(f32,plain,(
% 0.22/0.99 ![X,Xyz,Yz]: ((![Y,Z]: ((![Xy]: (~product(X,Y,Xy)|~product(Xy,Z,Xyz)))|~product(Y,Z,Yz)))|product(X,Yz,Xyz))),
% 0.22/0.99 inference(miniscoping,[status(thm)],[f5])).
% 0.22/0.99 fof(f33,plain,(
% 0.22/0.99 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X5)|product(X0,X5,X4))),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f32])).
% 0.22/0.99 fof(f52,plain,(
% 0.22/0.99 ![X,Y]: ((![W]: (~product(a,X,W)|~product(a,Y,W)))|X=Y)),
% 0.22/0.99 inference(miniscoping,[status(thm)],[f19])).
% 0.22/0.99 fof(f53,plain,(
% 0.22/0.99 ![X0,X1,X2]: (~product(a,X0,X1)|~product(a,X2,X1)|X0=X2)),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f52])).
% 0.22/0.99 fof(f54,plain,(
% 0.22/0.99 ![X,Y]: ((![W]: (~product(b,X,W)|~product(b,Y,W)))|X=Y)),
% 0.22/0.99 inference(miniscoping,[status(thm)],[f20])).
% 0.22/0.99 fof(f55,plain,(
% 0.22/0.99 ![X0,X1,X2]: (~product(b,X0,X1)|~product(b,X2,X1)|X0=X2)),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f54])).
% 0.22/0.99 fof(f56,plain,(
% 0.22/0.99 product(a,b,c)),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f21])).
% 0.22/0.99 fof(f57,plain,(
% 0.22/0.99 product(c,h,d)),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f22])).
% 0.22/0.99 fof(f58,plain,(
% 0.22/0.99 product(c,g,d)),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f23])).
% 0.22/0.99 fof(f59,plain,(
% 0.22/0.99 ~h=g),
% 0.22/0.99 inference(cnf_transformation,[status(thm)],[f24])).
% 0.22/0.99 fof(f62,plain,(
% 0.22/0.99 defined(c,g)),
% 0.22/0.99 inference(resolution,[status(thm)],[f27,f58])).
% 0.22/0.99 fof(f63,plain,(
% 0.22/0.99 defined(c,h)),
% 0.22/0.99 inference(resolution,[status(thm)],[f27,f57])).
% 0.22/0.99 fof(f70,plain,(
% 0.22/0.99 ![X0]: (~defined(c,X0)|defined(b,X0))),
% 0.22/0.99 inference(resolution,[status(thm)],[f29,f56])).
% 0.22/0.99 fof(f81,plain,(
% 0.22/0.99 ![X0,X1,X2]: (~product(c,X0,X1)|~product(b,X0,X2)|product(a,X2,X1))),
% 0.22/0.99 inference(resolution,[status(thm)],[f33,f56])).
% 0.22/0.99 fof(f101,plain,(
% 0.22/0.99 defined(b,h)),
% 0.22/0.99 inference(resolution,[status(thm)],[f70,f63])).
% 0.22/0.99 fof(f102,plain,(
% 0.22/0.99 defined(b,g)),
% 0.22/0.99 inference(resolution,[status(thm)],[f70,f62])).
% 0.22/0.99 fof(f104,plain,(
% 0.22/0.99 product(b,h,compose(b,h))),
% 0.22/0.99 inference(resolution,[status(thm)],[f101,f25])).
% 0.22/0.99 fof(f105,plain,(
% 0.22/0.99 product(b,g,compose(b,g))),
% 0.22/0.99 inference(resolution,[status(thm)],[f102,f25])).
% 0.22/0.99 fof(f607,plain,(
% 3.24/1.00 ![X0]: (~product(b,g,X0)|product(a,X0,d))),
% 3.24/1.00 inference(resolution,[status(thm)],[f81,f58])).
% 3.24/1.00 fof(f608,plain,(
% 3.24/1.00 ![X0]: (~product(b,h,X0)|product(a,X0,d))),
% 3.24/1.00 inference(resolution,[status(thm)],[f81,f57])).
% 3.24/1.00 fof(f2181,plain,(
% 3.24/1.00 product(a,compose(b,h),d)),
% 3.24/1.00 inference(resolution,[status(thm)],[f104,f608])).
% 3.24/1.00 fof(f2183,plain,(
% 3.24/1.00 ![X0]: (~product(b,X0,compose(b,h))|h=X0)),
% 3.24/1.00 inference(resolution,[status(thm)],[f104,f55])).
% 3.24/1.00 fof(f2202,plain,(
% 3.24/1.00 product(a,compose(b,g),d)),
% 3.24/1.00 inference(resolution,[status(thm)],[f105,f607])).
% 3.24/1.00 fof(f5477,plain,(
% 3.24/1.00 ![X0]: (~product(a,X0,d)|compose(b,h)=X0)),
% 3.24/1.00 inference(resolution,[status(thm)],[f2181,f53])).
% 3.24/1.00 fof(f7502,plain,(
% 3.24/1.00 compose(b,h)=compose(b,g)),
% 3.24/1.00 inference(resolution,[status(thm)],[f5477,f2202])).
% 3.24/1.00 fof(f7519,plain,(
% 3.24/1.00 product(b,g,compose(b,h))),
% 3.24/1.00 inference(backward_demodulation,[status(thm)],[f7502,f105])).
% 3.24/1.00 fof(f7521,plain,(
% 3.24/1.00 h=g),
% 3.24/1.00 inference(resolution,[status(thm)],[f7519,f2183])).
% 3.24/1.00 fof(f7544,plain,(
% 3.24/1.00 $false),
% 3.24/1.00 inference(forward_subsumption_resolution,[status(thm)],[f7521,f59])).
% 3.24/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 3.24/1.03 % Elapsed time: 0.519791 seconds
% 3.24/1.03 % CPU time: 3.669638 seconds
% 3.24/1.03 % Total memory used: 64.017 MB
% 3.24/1.03 % Net memory used: 60.337 MB
%------------------------------------------------------------------------------