%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD030-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:22:21 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 15:38:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.49 % Refutation found
% 0.14/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.49 fof(f6,axiom,(
% 0.14/0.49 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f8,axiom,(
% 0.14/0.49 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f10,axiom,(
% 0.14/0.49 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f20,axiom,(
% 0.14/0.49 (![X,Y]: (( product(X,Y,multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f27,hypothesis,(
% 0.14/0.49 defined(a) ),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f28,hypothesis,(
% 0.14/0.49 defined(b) ),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f30,negated_conjecture,(
% 0.14/0.49 product(multiplicative_identity,a,d) ),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f31,negated_conjecture,(
% 0.14/0.49 ~ product(d,b,multiply(a,b)) ),
% 0.14/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.49 fof(f39,plain,(
% 0.14/0.49 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.49 fof(f40,plain,(
% 0.14/0.49 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.49 fof(f43,plain,(
% 0.14/0.49 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.49 fof(f45,plain,(
% 0.14/0.49 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.49 fof(f60,plain,(
% 0.14/0.49 ![Y]: ((![X]: (product(X,Y,multiply(X,Y))|~defined(X)))|~defined(Y))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f20])).
% 0.14/0.49 fof(f61,plain,(
% 0.14/0.49 ![X0,X1]: (product(X0,X1,multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.49 fof(f71,plain,(
% 0.14/0.49 defined(a)),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.49 fof(f72,plain,(
% 0.14/0.49 defined(b)),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.49 fof(f74,plain,(
% 0.14/0.49 product(multiplicative_identity,a,d)),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.49 fof(f75,plain,(
% 0.14/0.49 ~product(d,b,multiply(a,b))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.49 fof(f78,plain,(
% 0.14/0.49 ![X0,X1,X2]: (product(X0,d,X1)|~product(X0,multiplicative_identity,X2)|~product(X2,a,X1))),
% 0.14/0.49 inference(resolution,[status(thm)],[f40,f74])).
% 0.14/0.49 fof(f85,plain,(
% 0.14/0.49 product(multiplicative_identity,b,b)),
% 0.14/0.49 inference(resolution,[status(thm)],[f43,f72])).
% 0.14/0.49 fof(f150,plain,(
% 0.14/0.49 product(b,multiplicative_identity,b)),
% 0.14/0.49 inference(resolution,[status(thm)],[f45,f85])).
% 0.14/0.49 fof(f166,plain,(
% 0.14/0.49 ![X0]: (product(b,d,X0)|~product(b,a,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f150,f78])).
% 0.14/0.49 fof(f285,plain,(
% 0.14/0.49 ![X0]: (product(X0,b,multiply(X0,b))|~defined(X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f61,f72])).
% 0.14/0.49 fof(f779,plain,(
% 0.14/0.49 product(a,b,multiply(a,b))),
% 0.14/0.49 inference(resolution,[status(thm)],[f285,f71])).
% 0.14/0.49 fof(f834,plain,(
% 0.14/0.49 product(b,a,multiply(a,b))),
% 0.14/0.49 inference(resolution,[status(thm)],[f779,f45])).
% 0.14/0.49 fof(f867,plain,(
% 0.14/0.49 product(b,d,multiply(a,b))),
% 0.14/0.49 inference(resolution,[status(thm)],[f834,f166])).
% 0.14/0.49 fof(f899,plain,(
% 0.14/0.49 product(d,b,multiply(a,b))),
% 0.14/0.49 inference(resolution,[status(thm)],[f867,f45])).
% 0.14/0.49 fof(f907,plain,(
% 0.14/0.49 $false),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f899,f75])).
% 0.14/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.51 % Elapsed time: 0.119773 seconds
% 0.14/0.51 % CPU time: 0.737490 seconds
% 0.14/0.51 % Total memory used: 29.270 MB
% 0.14/0.51 % Net memory used: 28.510 MB
%------------------------------------------------------------------------------