%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD060-3 : 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 : n026.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 5.51s 1.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD060-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 15:46:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 5.51/1.15 % Refutation found
% 5.51/1.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.51/1.15 % SZS output start CNFRefutation for theBenchmark
% 5.51/1.15 fof(f5,axiom,(
% 5.51/1.15 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f19,axiom,(
% 5.51/1.15 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f22,axiom,(
% 5.51/1.15 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f24,axiom,(
% 5.51/1.15 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f27,hypothesis,(
% 5.51/1.15 defined(a) ),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f28,hypothesis,(
% 5.51/1.15 defined(b) ),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f29,negated_conjecture,(
% 5.51/1.15 less_or_equal(a,b) ),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f30,negated_conjecture,(
% 5.51/1.15 ~ less_or_equal(add(a,a),add(b,b)) ),
% 5.51/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.51/1.15 fof(f37,plain,(
% 5.51/1.15 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f5])).
% 5.51/1.15 fof(f57,plain,(
% 5.51/1.15 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 5.51/1.15 inference(miniscoping,[status(thm)],[f19])).
% 5.51/1.15 fof(f58,plain,(
% 5.51/1.15 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f57])).
% 5.51/1.15 fof(f62,plain,(
% 5.51/1.15 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 5.51/1.15 inference(miniscoping,[status(thm)],[f22])).
% 5.51/1.15 fof(f63,plain,(
% 5.51/1.15 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f62])).
% 5.51/1.15 fof(f66,plain,(
% 5.51/1.15 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 5.51/1.15 inference(miniscoping,[status(thm)],[f24])).
% 5.51/1.15 fof(f67,plain,(
% 5.51/1.15 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f66])).
% 5.51/1.15 fof(f70,plain,(
% 5.51/1.15 defined(a)),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f27])).
% 5.51/1.15 fof(f71,plain,(
% 5.51/1.15 defined(b)),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f28])).
% 5.51/1.15 fof(f72,plain,(
% 5.51/1.15 less_or_equal(a,b)),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f29])).
% 5.51/1.15 fof(f73,plain,(
% 5.51/1.15 ~less_or_equal(add(a,a),add(b,b))),
% 5.51/1.15 inference(cnf_transformation,[status(thm)],[f30])).
% 5.51/1.15 fof(f76,plain,(
% 5.51/1.15 ![X0]: (sum(X0,b,add(X0,b))|~defined(X0))),
% 5.51/1.15 inference(resolution,[status(thm)],[f58,f71])).
% 5.51/1.15 fof(f77,plain,(
% 5.51/1.15 ![X0]: (sum(X0,a,add(X0,a))|~defined(X0))),
% 5.51/1.15 inference(resolution,[status(thm)],[f58,f70])).
% 5.51/1.15 fof(f83,plain,(
% 5.51/1.15 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 5.51/1.15 inference(resolution,[status(thm)],[f67,f72])).
% 5.51/1.15 fof(f113,plain,(
% 5.51/1.15 sum(b,b,add(b,b))),
% 5.51/1.15 inference(resolution,[status(thm)],[f76,f71])).
% 5.51/1.15 fof(f116,plain,(
% 5.51/1.15 sum(b,a,add(b,a))),
% 5.51/1.15 inference(resolution,[status(thm)],[f77,f71])).
% 5.51/1.15 fof(f117,plain,(
% 5.51/1.15 sum(a,a,add(a,a))),
% 5.51/1.15 inference(resolution,[status(thm)],[f77,f70])).
% 5.51/1.15 fof(f317,plain,(
% 5.51/1.15 ![X0]: (less_or_equal(X0,add(b,b))|~sum(a,b,X0))),
% 5.51/1.15 inference(resolution,[status(thm)],[f113,f83])).
% 5.51/1.15 fof(f344,plain,(
% 5.51/1.15 ![X0]: (less_or_equal(X0,add(b,a))|~sum(a,a,X0))),
% 5.51/1.15 inference(resolution,[status(thm)],[f116,f83])).
% 5.51/1.15 fof(f346,plain,(
% 5.51/1.15 sum(a,b,add(b,a))),
% 5.51/1.15 inference(resolution,[status(thm)],[f116,f37])).
% 5.51/1.15 fof(f1293,plain,(
% 5.51/1.15 less_or_equal(add(a,a),add(b,a))),
% 5.51/1.15 inference(resolution,[status(thm)],[f117,f344])).
% 5.51/1.15 fof(f1311,plain,(
% 5.51/1.15 ![X0]: (less_or_equal(add(a,a),X0)|~less_or_equal(add(b,a),X0))),
% 5.51/1.15 inference(resolution,[status(thm)],[f1293,f63])).
% 5.51/1.15 fof(f2018,plain,(
% 5.51/1.15 less_or_equal(add(b,a),add(b,b))),
% 5.51/1.15 inference(resolution,[status(thm)],[f346,f317])).
% 5.51/1.15 fof(f2126,plain,(
% 5.51/1.15 less_or_equal(add(a,a),add(b,b))),
% 5.51/1.15 inference(resolution,[status(thm)],[f2018,f1311])).
% 5.51/1.15 fof(f2131,plain,(
% 5.51/1.15 $false),
% 5.51/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2126,f73])).
% 5.51/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 5.51/1.17 % Elapsed time: 0.787735 seconds
% 5.51/1.17 % CPU time: 6.027008 seconds
% 5.51/1.17 % Total memory used: 106.593 MB
% 5.51/1.17 % Net memory used: 102.020 MB
%------------------------------------------------------------------------------