%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM020-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:42:09 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM020-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:56:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (![A]: (equalish(add(A,n0),A) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (![A,B]: (equalish(add(A,successor(B)),successor(add(A,B))) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,axiom,(
% 0.11/0.41 (![A,B]: (( ~ equalish(A,B)| equalish(successor(A),successor(B)) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,axiom,(
% 0.11/0.41 (![X,Y,Z]: (( ~ equalish(X,Y)| ~ equalish(Y,Z)| equalish(X,Z) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,negated_conjecture,(
% 0.11/0.41 ~ equalish(add(a,successor(n0)),successor(a)) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f13,plain,(
% 0.11/0.41 ![X0]: (equalish(add(X0,n0),X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f14,plain,(
% 0.11/0.41 ![X0,X1]: (equalish(add(X0,successor(X1)),successor(add(X0,X1))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f18,plain,(
% 0.11/0.41 ![X0,X1]: (~equalish(X0,X1)|equalish(successor(X0),successor(X1)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f21,plain,(
% 0.11/0.41 ![X,Z]: ((![Y]: (~equalish(X,Y)|~equalish(Y,Z)))|equalish(X,Z))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f9])).
% 0.11/0.41 fof(f22,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X0,X2))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.41 fof(f24,plain,(
% 0.11/0.41 ~equalish(add(a,successor(n0)),successor(a))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.41 fof(f31,plain,(
% 0.11/0.41 ![X0]: (equalish(successor(add(X0,n0)),successor(X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f18,f13])).
% 0.11/0.41 fof(f37,plain,(
% 0.11/0.41 ![X0]: (~equalish(add(a,successor(n0)),X0)|~equalish(X0,successor(a)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f22,f24])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 ~equalish(successor(add(a,n0)),successor(a))),
% 0.11/0.41 inference(resolution,[status(thm)],[f37,f14])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f78,f31])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.051466 seconds
% 0.11/0.43 % CPU time: 0.148635 seconds
% 0.11/0.43 % Total memory used: 56.014 MB
% 0.11/0.43 % Net memory used: 55.485 MB
%------------------------------------------------------------------------------