%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG011-1 : TPTP v9.3.1. Released v2.7.0.
% 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 11:49:27 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG011-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:52:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),Z) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X]: (( c(X)| d(X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,hypothesis,(
% 0.10/0.41 (![X]: (( ~ c(X)| ~ d(X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,hypothesis,(
% 0.10/0.41 c(a1) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,hypothesis,(
% 0.10/0.41 d(a2) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f6,negated_conjecture,(
% 0.10/0.41 (![X,Y]: (( d(f(X,Y))| ~ c(X)| ~ c(Y) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,negated_conjecture,(
% 0.10/0.41 (![X,Y]: (( c(f(X,Y))| ~ d(X)| ~ d(Y) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,plain,(
% 0.10/0.41 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f9,plain,(
% 0.10/0.41 ![X0]: (c(X0)|d(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f10,plain,(
% 0.10/0.41 ![X0]: (~c(X0)|~d(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f11,plain,(
% 0.10/0.41 c(a1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f12,plain,(
% 0.10/0.41 d(a2)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f13,plain,(
% 0.10/0.41 ![Y]: ((![X]: (d(f(X,Y))|~c(X)))|~c(Y))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.41 fof(f14,plain,(
% 0.10/0.41 ![X0,X1]: (d(f(X0,X1))|~c(X0)|~c(X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f15,plain,(
% 0.10/0.41 ![Y]: ((![X]: (c(f(X,Y))|~d(X)))|~d(Y))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.41 fof(f16,plain,(
% 0.10/0.41 ![X0,X1]: (c(f(X0,X1))|~d(X0)|~d(X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.41 fof(f17,plain,(
% 0.10/0.41 ![X0,X1]: (d(X0)|d(f(X1,X0))|~c(X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f9,f14])).
% 0.10/0.41 fof(f86,plain,(
% 0.10/0.41 ![X0]: (d(f(X0,a1))|~c(X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f11,f14])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 d(f(a1,a1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f86,f11])).
% 0.10/0.41 fof(f93,plain,(
% 0.10/0.41 ![X0]: (d(X0)|d(f(a1,X0)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f17,f11])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 ![X0]: (c(f(X0,a2))|~d(X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f16,f12])).
% 0.10/0.41 fof(f101,plain,(
% 0.10/0.41 c(f(f(a1,a1),a2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f100,f90])).
% 0.10/0.41 fof(f105,plain,(
% 0.10/0.41 c(f(a2,a2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f100,f12])).
% 0.10/0.41 fof(f106,plain,(
% 0.10/0.41 c(f(a1,f(a1,a2)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f8,f101])).
% 0.10/0.41 fof(f112,plain,(
% 0.10/0.41 ~d(f(a2,a2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f105,f10])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 ~d(f(a1,f(a1,a2)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f106,f10])).
% 0.10/0.41 fof(f140,plain,(
% 0.10/0.41 d(f(a1,a2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f130,f93])).
% 0.10/0.41 fof(f154,plain,(
% 0.10/0.41 c(f(f(a1,a2),a2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f140,f100])).
% 0.10/0.41 fof(f156,plain,(
% 0.10/0.41 c(f(a1,f(a2,a2)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f8,f154])).
% 0.10/0.41 fof(f176,plain,(
% 0.10/0.41 ~d(f(a1,f(a2,a2)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f156,f10])).
% 0.10/0.41 fof(f182,plain,(
% 0.10/0.41 d(f(a2,a2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f176,f93])).
% 0.10/0.41 fof(f185,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f182,f112])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.051488 seconds
% 0.10/0.42 % CPU time: 0.171633 seconds
% 0.10/0.42 % Total memory used: 92.590 MB
% 0.10/0.42 % Net memory used: 91.990 MB
%------------------------------------------------------------------------------