%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD060-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:22:28 PM UTC 2026
% Result : Unsatisfiable 3.03s 0.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD060-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:41:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 3.03/0.84 % Refutation found
% 3.03/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.03/0.84 % SZS output start CNFRefutation for theBenchmark
% 3.03/0.84 fof(f4,axiom,(
% 3.03/0.84 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f17,axiom,(
% 3.03/0.84 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f19,axiom,(
% 3.03/0.84 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f26,axiom,(
% 3.03/0.84 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f28,hypothesis,(
% 3.03/0.84 defined(a) ),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f29,hypothesis,(
% 3.03/0.84 defined(b) ),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f30,negated_conjecture,(
% 3.03/0.84 less_or_equal(a,b) ),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f31,negated_conjecture,(
% 3.03/0.84 ~ less_or_equal(add(a,a),add(b,b)) ),
% 3.03/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.03/0.84 fof(f36,plain,(
% 3.03/0.84 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 3.03/0.84 inference(miniscoping,[status(thm)],[f4])).
% 3.03/0.84 fof(f37,plain,(
% 3.03/0.84 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f36])).
% 3.03/0.84 fof(f55,plain,(
% 3.03/0.84 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 3.03/0.84 inference(miniscoping,[status(thm)],[f17])).
% 3.03/0.84 fof(f56,plain,(
% 3.03/0.84 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f55])).
% 3.03/0.84 fof(f59,plain,(
% 3.03/0.84 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 3.03/0.84 inference(miniscoping,[status(thm)],[f19])).
% 3.03/0.84 fof(f60,plain,(
% 3.03/0.84 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f59])).
% 3.03/0.84 fof(f71,plain,(
% 3.03/0.84 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 3.03/0.84 inference(miniscoping,[status(thm)],[f26])).
% 3.03/0.84 fof(f72,plain,(
% 3.03/0.84 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f71])).
% 3.03/0.84 fof(f74,plain,(
% 3.03/0.84 defined(a)),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f28])).
% 3.03/0.84 fof(f75,plain,(
% 3.03/0.84 defined(b)),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f29])).
% 3.03/0.84 fof(f76,plain,(
% 3.03/0.84 less_or_equal(a,b)),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f30])).
% 3.03/0.84 fof(f77,plain,(
% 3.03/0.84 ~less_or_equal(add(a,a),add(b,b))),
% 3.03/0.84 inference(cnf_transformation,[status(thm)],[f31])).
% 3.03/0.84 fof(f81,plain,(
% 3.03/0.84 ![X0]: (equalish(add(a,X0),add(X0,a))|~defined(X0))),
% 3.03/0.84 inference(resolution,[status(thm)],[f37,f74])).
% 3.03/0.84 fof(f258,plain,(
% 3.03/0.84 ![X0,X1]: (less_or_equal(add(X0,b),add(X1,b))|~less_or_equal(X0,X1))),
% 3.03/0.84 inference(resolution,[status(thm)],[f60,f75])).
% 3.03/0.84 fof(f259,plain,(
% 3.03/0.84 ![X0,X1]: (less_or_equal(add(X0,a),add(X1,a))|~less_or_equal(X0,X1))),
% 3.03/0.84 inference(resolution,[status(thm)],[f60,f74])).
% 3.03/0.84 fof(f314,plain,(
% 3.03/0.84 equalish(add(a,b),add(b,a))),
% 3.03/0.84 inference(resolution,[status(thm)],[f81,f75])).
% 3.03/0.84 fof(f520,plain,(
% 3.03/0.84 less_or_equal(add(a,b),add(b,b))),
% 3.03/0.84 inference(resolution,[status(thm)],[f258,f76])).
% 3.03/0.84 fof(f534,plain,(
% 3.03/0.84 less_or_equal(add(a,a),add(b,a))),
% 3.03/0.84 inference(resolution,[status(thm)],[f259,f76])).
% 3.03/0.84 fof(f636,plain,(
% 3.03/0.84 ![X0]: (less_or_equal(X0,add(b,b))|~equalish(add(a,b),X0))),
% 3.03/0.84 inference(resolution,[status(thm)],[f520,f72])).
% 3.03/0.84 fof(f651,plain,(
% 3.03/0.84 ![X0]: (less_or_equal(add(a,a),X0)|~less_or_equal(add(b,a),X0))),
% 3.03/0.84 inference(resolution,[status(thm)],[f534,f56])).
% 3.03/0.84 fof(f5089,plain,(
% 3.03/0.84 less_or_equal(add(b,a),add(b,b))),
% 3.03/0.84 inference(resolution,[status(thm)],[f314,f636])).
% 3.03/0.84 fof(f9302,plain,(
% 3.03/0.84 less_or_equal(add(a,a),add(b,b))),
% 3.03/0.84 inference(resolution,[status(thm)],[f5089,f651])).
% 3.03/0.84 fof(f9310,plain,(
% 3.03/0.84 $false),
% 3.03/0.84 inference(forward_subsumption_resolution,[status(thm)],[f9302,f77])).
% 3.03/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 0.50/0.87 % Elapsed time: 0.490529 seconds
% 0.50/0.87 % CPU time: 3.674271 seconds
% 0.50/0.87 % Total memory used: 83.692 MB
% 0.50/0.87 % Net memory used: 80.430 MB
%------------------------------------------------------------------------------