%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT004-1 : 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 : n003.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 12:07:41 PM UTC 2026
% Result : Unsatisfiable 4.14s 1.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:57:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 4.14/1.05 % Refutation found
% 4.14/1.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.14/1.05 % SZS output start CNFRefutation for theBenchmark
% 4.14/1.05 fof(f1,axiom,(
% 4.14/1.05 (![X,Y]: (( ~ defined(X,Y)| product(X,Y,compose(X,Y)) ) ))),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f2,axiom,(
% 4.14/1.05 (![X,Y,Z]: (( ~ product(X,Y,Z)| defined(X,Y) ) ))),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f6,axiom,(
% 4.14/1.05 (![Y,Z,Yz,X]: (( ~ product(Y,Z,Yz)| ~ defined(X,Yz)| defined(X,Y) ) ))),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f8,axiom,(
% 4.14/1.05 (![Y,Z,Yz,X,Xyz,Xy]: (( ~ product(Y,Z,Yz)| ~ product(X,Yz,Xyz)| ~ product(X,Y,Xy)| product(Xy,Z,Xyz) ) ))),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f19,hypothesis,(
% 4.14/1.05 (![X,W,Y]: (( ~ product(X,a,W)| ~ product(Y,a,W)| X = Y ) ))),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f20,hypothesis,(
% 4.14/1.05 (![X,W,Y]: (( ~ product(X,b,W)| ~ product(Y,b,W)| X = Y ) ))),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f21,hypothesis,(
% 4.14/1.05 product(a,b,c) ),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f22,hypothesis,(
% 4.14/1.05 product(h,c,d) ),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f23,hypothesis,(
% 4.14/1.05 product(g,c,d) ),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f24,negated_conjecture,(
% 4.14/1.05 h != g ),
% 4.14/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/1.05 fof(f25,plain,(
% 4.14/1.05 ![X0,X1]: (~defined(X0,X1)|product(X0,X1,compose(X0,X1)))),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f1])).
% 4.14/1.05 fof(f26,plain,(
% 4.14/1.05 ![X,Y]: ((![Z]: ~product(X,Y,Z))|defined(X,Y))),
% 4.14/1.05 inference(miniscoping,[status(thm)],[f2])).
% 4.14/1.05 fof(f27,plain,(
% 4.14/1.05 ![X0,X1,X2]: (~product(X0,X1,X2)|defined(X0,X1))),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f26])).
% 4.14/1.05 fof(f34,plain,(
% 4.14/1.05 ![Y,X]: ((![Yz]: ((![Z]: ~product(Y,Z,Yz))|~defined(X,Yz)))|defined(X,Y))),
% 4.14/1.05 inference(miniscoping,[status(thm)],[f6])).
% 4.14/1.05 fof(f35,plain,(
% 4.14/1.05 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X3,X2)|defined(X3,X0))),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f34])).
% 4.14/1.05 fof(f38,plain,(
% 4.14/1.05 ![Z,Xyz,Xy]: ((![Y,X]: ((![Yz]: (~product(Y,Z,Yz)|~product(X,Yz,Xyz)))|~product(X,Y,Xy)))|product(Xy,Z,Xyz))),
% 4.14/1.05 inference(miniscoping,[status(thm)],[f8])).
% 4.14/1.05 fof(f39,plain,(
% 4.14/1.05 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X3,X2,X4)|~product(X3,X0,X5)|product(X5,X1,X4))),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f38])).
% 4.14/1.05 fof(f52,plain,(
% 4.14/1.05 ![X,Y]: ((![W]: (~product(X,a,W)|~product(Y,a,W)))|X=Y)),
% 4.14/1.05 inference(miniscoping,[status(thm)],[f19])).
% 4.14/1.05 fof(f53,plain,(
% 4.14/1.05 ![X0,X1,X2]: (~product(X0,a,X1)|~product(X2,a,X1)|X0=X2)),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f52])).
% 4.14/1.05 fof(f54,plain,(
% 4.14/1.05 ![X,Y]: ((![W]: (~product(X,b,W)|~product(Y,b,W)))|X=Y)),
% 4.14/1.05 inference(miniscoping,[status(thm)],[f20])).
% 4.14/1.05 fof(f55,plain,(
% 4.14/1.05 ![X0,X1,X2]: (~product(X0,b,X1)|~product(X2,b,X1)|X0=X2)),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f54])).
% 4.14/1.05 fof(f56,plain,(
% 4.14/1.05 product(a,b,c)),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f21])).
% 4.14/1.05 fof(f57,plain,(
% 4.14/1.05 product(h,c,d)),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f22])).
% 4.14/1.05 fof(f58,plain,(
% 4.14/1.05 product(g,c,d)),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f23])).
% 4.14/1.05 fof(f59,plain,(
% 4.14/1.05 ~h=g),
% 4.14/1.05 inference(cnf_transformation,[status(thm)],[f24])).
% 4.14/1.05 fof(f62,plain,(
% 4.14/1.05 defined(g,c)),
% 4.14/1.05 inference(resolution,[status(thm)],[f27,f58])).
% 4.14/1.05 fof(f63,plain,(
% 4.14/1.05 defined(h,c)),
% 4.14/1.05 inference(resolution,[status(thm)],[f27,f57])).
% 4.14/1.05 fof(f118,plain,(
% 4.14/1.05 ![X0]: (~defined(X0,c)|defined(X0,a))),
% 4.14/1.05 inference(resolution,[status(thm)],[f35,f56])).
% 4.14/1.05 fof(f133,plain,(
% 4.14/1.05 ![X0,X1,X2]: (~product(X0,c,X1)|~product(X0,a,X2)|product(X2,b,X1))),
% 4.14/1.05 inference(resolution,[status(thm)],[f39,f56])).
% 4.14/1.05 fof(f170,plain,(
% 4.14/1.05 defined(h,a)),
% 4.14/1.05 inference(resolution,[status(thm)],[f118,f63])).
% 4.14/1.05 fof(f171,plain,(
% 4.14/1.05 defined(g,a)),
% 4.14/1.05 inference(resolution,[status(thm)],[f118,f62])).
% 4.14/1.05 fof(f268,plain,(
% 4.14/1.05 product(h,a,compose(h,a))),
% 4.14/1.05 inference(resolution,[status(thm)],[f170,f25])).
% 4.14/1.05 fof(f273,plain,(
% 4.14/1.05 product(g,a,compose(g,a))),
% 4.14/1.05 inference(resolution,[status(thm)],[f171,f25])).
% 4.14/1.05 fof(f902,plain,(
% 2.32/1.08 ![X0]: (~product(g,a,X0)|product(X0,b,d))),
% 2.32/1.08 inference(resolution,[status(thm)],[f133,f58])).
% 2.32/1.08 fof(f903,plain,(
% 2.32/1.08 ![X0]: (~product(h,a,X0)|product(X0,b,d))),
% 2.32/1.08 inference(resolution,[status(thm)],[f133,f57])).
% 2.32/1.08 fof(f2594,plain,(
% 2.32/1.08 product(compose(h,a),b,d)),
% 2.32/1.08 inference(resolution,[status(thm)],[f268,f903])).
% 2.32/1.08 fof(f2596,plain,(
% 2.32/1.08 ![X0]: (~product(X0,a,compose(h,a))|h=X0)),
% 2.32/1.08 inference(resolution,[status(thm)],[f268,f53])).
% 2.32/1.08 fof(f2861,plain,(
% 2.32/1.08 product(compose(g,a),b,d)),
% 2.32/1.08 inference(resolution,[status(thm)],[f273,f902])).
% 2.32/1.08 fof(f5403,plain,(
% 2.32/1.08 ![X0]: (~product(X0,b,d)|compose(h,a)=X0)),
% 2.32/1.08 inference(resolution,[status(thm)],[f2594,f55])).
% 2.32/1.08 fof(f7180,plain,(
% 2.32/1.08 compose(h,a)=compose(g,a)),
% 2.32/1.08 inference(resolution,[status(thm)],[f5403,f2861])).
% 2.32/1.08 fof(f7204,plain,(
% 2.32/1.08 product(g,a,compose(h,a))),
% 2.32/1.08 inference(backward_demodulation,[status(thm)],[f7180,f273])).
% 2.32/1.08 fof(f7209,plain,(
% 2.32/1.08 h=g),
% 2.32/1.08 inference(resolution,[status(thm)],[f7204,f2596])).
% 2.32/1.08 fof(f7227,plain,(
% 2.32/1.08 $false),
% 2.32/1.08 inference(forward_subsumption_resolution,[status(thm)],[f7209,f59])).
% 2.32/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 2.32/1.10 % Elapsed time: 0.712586 seconds
% 2.32/1.10 % CPU time: 5.241629 seconds
% 2.32/1.10 % Total memory used: 70.906 MB
% 2.32/1.10 % Net memory used: 65.982 MB
%------------------------------------------------------------------------------