%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:06:45 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n005.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Mon Sep 21 13:47:48 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.52 % Refutation found
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.52 fof(f1,axiom,(
% 0.17/0.52 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f3,axiom,(
% 0.17/0.52 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f12,axiom,(
% 0.17/0.52 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f14,axiom,(
% 0.17/0.52 (![X]: (add(additive_identity,X) = X ))),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f15,hypothesis,(
% 0.17/0.52 add(a,b) = multiplicative_identity ),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f16,hypothesis,(
% 0.17/0.52 add(a,c) = multiplicative_identity ),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f17,hypothesis,(
% 0.17/0.52 multiply(a,b) = additive_identity ),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f18,hypothesis,(
% 0.17/0.52 multiply(a,c) = additive_identity ),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f19,negated_conjecture,(
% 0.17/0.52 b != c ),
% 0.17/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f20,plain,(
% 0.17/0.52 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.52 fof(f22,plain,(
% 0.17/0.52 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.52 fof(f31,plain,(
% 0.17/0.52 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.52 fof(f33,plain,(
% 0.17/0.52 ![X0]: (add(additive_identity,X0)=X0)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.52 fof(f34,plain,(
% 0.17/0.52 add(a,b)=multiplicative_identity),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.52 fof(f35,plain,(
% 0.17/0.52 add(a,c)=multiplicative_identity),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.52 fof(f36,plain,(
% 0.17/0.52 multiply(a,b)=additive_identity),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.52 fof(f37,plain,(
% 0.17/0.52 multiply(a,c)=additive_identity),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.52 fof(f38,plain,(
% 0.17/0.52 ~b=c),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.52 fof(f95,plain,(
% 0.17/0.52 ![X0]: (add(multiply(a,X0),c)=multiply(multiplicative_identity,add(X0,c)))),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f35,f22])).
% 0.17/0.52 fof(f96,plain,(
% 0.17/0.52 ![X0]: (add(multiply(a,X0),b)=multiply(multiplicative_identity,add(X0,b)))),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f34,f22])).
% 0.17/0.52 fof(f112,plain,(
% 0.17/0.52 ![X0]: (add(multiply(a,X0),c)=add(X0,c))),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f31,f95])).
% 0.17/0.52 fof(f113,plain,(
% 0.17/0.52 ![X0]: (add(multiply(a,X0),b)=add(X0,b))),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f31,f96])).
% 0.17/0.52 fof(f124,plain,(
% 0.17/0.52 add(additive_identity,c)=add(b,c)),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f36,f112])).
% 0.17/0.52 fof(f134,plain,(
% 0.17/0.52 c=add(b,c)),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f33,f124])).
% 0.17/0.52 fof(f141,plain,(
% 0.17/0.52 add(additive_identity,b)=add(c,b)),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f37,f113])).
% 0.17/0.52 fof(f151,plain,(
% 0.17/0.52 b=add(c,b)),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f33,f141])).
% 0.17/0.52 fof(f185,plain,(
% 0.17/0.52 b=add(b,c)),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f20,f151])).
% 0.17/0.52 fof(f191,plain,(
% 0.17/0.52 c=b),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f185,f134])).
% 0.17/0.52 fof(f194,plain,(
% 0.17/0.52 $false),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f191,f38])).
% 0.17/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.55 % Elapsed time: 0.079737 seconds
% 0.17/0.55 % CPU time: 0.215892 seconds
% 0.17/0.55 % Total memory used: 8.356 MB
% 0.17/0.55 % Net memory used: 8.311 MB
%------------------------------------------------------------------------------