%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE074+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:58:17 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE074+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.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 : Sun Sep 20 22:42:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,axiom,(
% 0.14/0.40 (! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,conjecture,(
% 0.14/0.40 (! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ~((! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f18])).
% 0.14/0.40 fof(f24,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 ![X0,X1]: (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 (?[X0,X1,X2]: ~domain(multiplication(multiplication(X0,X1),domain(X2)))=domain(multiplication(X0,domain(multiplication(X1,domain(X2))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 ~domain(multiplication(multiplication(sK0_skl,sK1_skl),domain(sK2_skl)))=domain(multiplication(sK0_skl,domain(multiplication(sK1_skl,domain(sK2_skl)))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f40])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 ~domain(multiplication(multiplication(sK0_skl,sK1_skl),domain(sK2_skl)))=domain(multiplication(sK0_skl,domain(multiplication(sK1_skl,domain(sK2_skl)))))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ~domain(multiplication(sK0_skl,multiplication(sK1_skl,domain(sK2_skl))))=domain(multiplication(sK0_skl,domain(multiplication(sK1_skl,domain(sK2_skl)))))),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f24,f42])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 ~domain(multiplication(sK0_skl,multiplication(sK1_skl,domain(sK2_skl))))=domain(multiplication(sK0_skl,multiplication(sK1_skl,domain(sK2_skl))))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f43])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f57])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.056021 seconds
% 0.14/0.43 % CPU time: 0.151684 seconds
% 0.14/0.43 % Total memory used: 66.657 MB
% 0.14/0.43 % Net memory used: 66.268 MB
%------------------------------------------------------------------------------