%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO003-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO003-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 13:50:38 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f2,axiom,(
% 0.17/0.46 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f3,axiom,(
% 0.17/0.46 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f4,axiom,(
% 0.17/0.46 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f5,axiom,(
% 0.17/0.46 (![X]: (add(X,additive_identity) = X ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f6,axiom,(
% 0.17/0.46 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f7,axiom,(
% 0.17/0.46 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f9,negated_conjecture,(
% 0.17/0.46 multiply(a,a) != a ),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f11,plain,(
% 0.17/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.46 fof(f12,plain,(
% 0.17/0.46 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.46 fof(f13,plain,(
% 0.17/0.46 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.46 fof(f14,plain,(
% 0.17/0.46 ![X0]: (add(X0,additive_identity)=X0)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.46 fof(f15,plain,(
% 0.17/0.46 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.46 fof(f16,plain,(
% 0.17/0.46 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.46 fof(f18,plain,(
% 0.17/0.46 ~multiply(a,a)=a),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.46 fof(f43,plain,(
% 0.17/0.46 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X2),add(X0,X1)))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.17/0.46 fof(f45,plain,(
% 0.17/0.46 ![X0,X1]: (add(X0,multiply(additive_identity,X1))=multiply(X0,add(X0,X1)))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f14,f12])).
% 0.17/0.46 fof(f149,plain,(
% 0.17/0.46 ![X0,X1]: (multiply(X0,add(X1,multiplicative_identity))=add(multiply(X0,X1),X0))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.17/0.46 fof(f167,plain,(
% 0.17/0.46 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(add(X0,X1),multiplicative_identity))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f16,f43])).
% 0.17/0.46 fof(f171,plain,(
% 0.17/0.46 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X0,X1))),
% 0.17/0.46 inference(forward_demodulation,[status(thm)],[f15,f167])).
% 0.17/0.46 fof(f181,plain,(
% 0.17/0.46 ![X0]: (add(X0,multiply(additive_identity,additive_identity))=multiply(X0,X0))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f14,f45])).
% 0.17/0.46 fof(f308,plain,(
% 0.17/0.46 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f15,f171])).
% 0.17/0.46 fof(f328,plain,(
% 0.17/0.46 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(multiply(X0,X1),X0))),
% 0.17/0.46 inference(backward_demodulation,[status(thm)],[f329,f149])).
% 0.17/0.46 fof(f329,plain,(
% 0.17/0.46 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 0.17/0.46 inference(forward_demodulation,[status(thm)],[f16,f308])).
% 0.17/0.46 fof(f340,plain,(
% 0.17/0.46 ![X0,X1]: (X0=add(multiply(X0,X1),X0))),
% 0.17/0.46 inference(forward_demodulation,[status(thm)],[f15,f328])).
% 0.17/0.46 fof(f399,plain,(
% 0.17/0.46 ![X0]: (additive_identity=multiply(additive_identity,X0))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f14,f340])).
% 0.17/0.46 fof(f430,plain,(
% 0.17/0.46 ![X0]: (add(X0,additive_identity)=multiply(X0,X0))),
% 0.17/0.46 inference(backward_demodulation,[status(thm)],[f399,f181])).
% 0.17/0.46 fof(f460,plain,(
% 0.17/0.46 ~a=a),
% 0.17/0.46 inference(backward_demodulation,[status(thm)],[f462,f18])).
% 0.17/0.46 fof(f462,plain,(
% 0.17/0.46 ![X0]: (X0=multiply(X0,X0))),
% 0.17/0.46 inference(forward_demodulation,[status(thm)],[f14,f430])).
% 0.17/0.46 fof(f487,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(trivial_equality_resolution,[status(thm)],[f460])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 5.88/1.69 % Elapsed time: 1.038378 seconds
% 5.88/1.69 % CPU time: 0.067153 seconds
% 5.88/1.69 % Total memory used: 1.446 MB
% 5.88/1.69 % Net memory used: 1.436 MB
%------------------------------------------------------------------------------