%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG024-7 : 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 : n005.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 02:05:09 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG024-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n005.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:11:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f6,axiom,(
% 0.08/0.36 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 0.08/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f12,axiom,(
% 0.08/0.36 (![X,Y]: (multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)) ))),
% 0.08/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f14,axiom,(
% 0.08/0.36 (![X,Y,Z]: (associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) ))),
% 0.08/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f23,negated_conjecture,(
% 0.08/0.36 associator(x,y,y) != additive_identity ),
% 0.08/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f29,plain,(
% 0.08/0.36 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.36 fof(f35,plain,(
% 0.08/0.36 ![X0,X1]: (multiply(multiply(X0,X1),X1)=multiply(X0,multiply(X1,X1)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.36 fof(f37,plain,(
% 0.08/0.36 ![X0,X1,X2]: (associator(X0,X1,X2)=add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.36 fof(f46,plain,(
% 0.08/0.36 ~associator(x,y,y)=additive_identity),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.36 fof(f169,plain,(
% 0.08/0.36 ![X0,X1]: (associator(X0,X1,X1)=add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X0,multiply(X1,X1)))))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f35,f37])).
% 0.08/0.36 fof(f182,plain,(
% 0.08/0.36 ~additive_identity=additive_identity),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f183,f46])).
% 0.08/0.36 fof(f183,plain,(
% 0.08/0.36 ![X0,X1]: (associator(X0,X1,X1)=additive_identity)),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f29,f169])).
% 0.08/0.36 fof(f185,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(trivial_equality_resolution,[status(thm)],[f182])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.040449 seconds
% 0.12/0.39 % CPU time: 0.048384 seconds
% 0.12/0.39 % Total memory used: 1.910 MB
% 0.12/0.39 % Net memory used: 1.892 MB
%------------------------------------------------------------------------------