%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD034-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 12:22:22 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD034-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 15:39:13 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f6,axiom,(
% 0.11/0.39 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f8,axiom,(
% 0.11/0.39 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f10,axiom,(
% 0.11/0.39 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f27,hypothesis,(
% 0.11/0.39 defined(a) ),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f29,negated_conjecture,(
% 0.11/0.39 product(multiplicative_identity,m,multiplicative_identity) ),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f30,negated_conjecture,(
% 0.11/0.39 ~ product(m,a,a) ),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f38,plain,(
% 0.11/0.39 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.39 fof(f39,plain,(
% 0.11/0.39 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/0.39 fof(f42,plain,(
% 0.11/0.39 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.39 fof(f44,plain,(
% 0.11/0.39 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.39 fof(f70,plain,(
% 0.11/0.39 defined(a)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.39 fof(f72,plain,(
% 0.11/0.39 product(multiplicative_identity,m,multiplicative_identity)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.39 fof(f73,plain,(
% 0.11/0.39 ~product(m,a,a)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/0.39 fof(f76,plain,(
% 0.11/0.39 product(multiplicative_identity,a,a)),
% 0.11/0.39 inference(resolution,[status(thm)],[f42,f70])).
% 0.11/0.39 fof(f78,plain,(
% 0.11/0.39 product(m,multiplicative_identity,multiplicative_identity)),
% 0.11/0.39 inference(resolution,[status(thm)],[f44,f72])).
% 0.11/0.39 fof(f233,plain,(
% 0.11/0.39 ![X0,X1,X2]: (product(m,X0,X1)|~product(multiplicative_identity,X2,X0)|~product(multiplicative_identity,X2,X1))),
% 0.11/0.39 inference(resolution,[status(thm)],[f78,f39])).
% 0.11/0.39 fof(f455,plain,(
% 0.11/0.39 ![X0]: (product(m,a,X0)|~product(multiplicative_identity,a,X0))),
% 0.11/0.39 inference(resolution,[status(thm)],[f76,f233])).
% 0.11/0.39 fof(f460,plain,(
% 0.11/0.39 product(m,a,a)),
% 0.11/0.39 inference(resolution,[status(thm)],[f455,f76])).
% 0.11/0.39 fof(f461,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f460,f73])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.049791 seconds
% 0.11/0.42 % CPU time: 0.133170 seconds
% 0.11/0.42 % Total memory used: 18.044 MB
% 0.11/0.42 % Net memory used: 17.810 MB
%------------------------------------------------------------------------------