%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD064-1 : 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 : n009.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 12:22:29 PM UTC 2026
% Result : Unsatisfiable 121.64s 15.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD064-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 15:44:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 121.64/15.91 % Refutation found
% 121.64/15.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 121.64/15.91 % SZS output start CNFRefutation for theBenchmark
% 121.64/15.91 fof(f2,axiom,(
% 121.64/15.91 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f3,axiom,(
% 121.64/15.91 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f11,axiom,(
% 121.64/15.91 defined(additive_identity) ),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f12,axiom,(
% 121.64/15.91 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f16,axiom,(
% 121.64/15.91 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f18,axiom,(
% 121.64/15.91 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f19,axiom,(
% 121.64/15.91 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f22,axiom,(
% 121.64/15.91 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f23,axiom,(
% 121.64/15.91 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f26,axiom,(
% 121.64/15.91 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f28,hypothesis,(
% 121.64/15.91 defined(a) ),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f29,negated_conjecture,(
% 121.64/15.91 less_or_equal(additive_identity,a) ),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f30,negated_conjecture,(
% 121.64/15.91 ~ less_or_equal(additive_inverse(a),additive_identity) ),
% 121.64/15.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.64/15.91 fof(f33,plain,(
% 121.64/15.91 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f2])).
% 121.64/15.91 fof(f34,plain,(
% 121.64/15.91 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f3])).
% 121.64/15.91 fof(f47,plain,(
% 121.64/15.91 defined(additive_identity)),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f11])).
% 121.64/15.91 fof(f48,plain,(
% 121.64/15.91 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f12])).
% 121.64/15.91 fof(f53,plain,(
% 121.64/15.91 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f16])).
% 121.64/15.91 fof(f56,plain,(
% 121.64/15.91 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 121.64/15.91 inference(miniscoping,[status(thm)],[f18])).
% 121.64/15.91 fof(f57,plain,(
% 121.64/15.91 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f56])).
% 121.64/15.91 fof(f58,plain,(
% 121.64/15.91 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 121.64/15.91 inference(miniscoping,[status(thm)],[f19])).
% 121.64/15.91 fof(f59,plain,(
% 121.64/15.91 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f58])).
% 121.64/15.91 fof(f63,plain,(
% 121.64/15.91 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f22])).
% 121.64/15.91 fof(f64,plain,(
% 121.64/15.91 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 121.64/15.91 inference(miniscoping,[status(thm)],[f23])).
% 121.64/15.91 fof(f65,plain,(
% 121.64/15.91 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f64])).
% 121.64/15.91 fof(f70,plain,(
% 121.64/15.91 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 121.64/15.91 inference(miniscoping,[status(thm)],[f26])).
% 121.64/15.91 fof(f71,plain,(
% 121.64/15.91 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f70])).
% 121.64/15.91 fof(f73,plain,(
% 121.64/15.91 defined(a)),
% 121.64/15.91 inference(cnf_transformation,[status(thm)],[f28])).
% 121.64/15.91 fof(f74,plain,(
% 121.64/15.91 less_or_equal(additive_identity,a)),
% 97.49/16.00 inference(cnf_transformation,[status(thm)],[f29])).
% 97.49/16.00 fof(f75,plain,(
% 97.49/16.00 ~less_or_equal(additive_inverse(a),additive_identity)),
% 97.49/16.00 inference(cnf_transformation,[status(thm)],[f30])).
% 97.49/16.00 fof(f78,plain,(
% 97.49/16.00 equalish(add(a,additive_inverse(a)),additive_identity)),
% 97.49/16.00 inference(resolution,[status(thm)],[f34,f73])).
% 97.49/16.00 fof(f80,plain,(
% 97.49/16.00 defined(additive_inverse(a))),
% 97.49/16.00 inference(resolution,[status(thm)],[f48,f73])).
% 97.49/16.00 fof(f84,plain,(
% 97.49/16.00 equalish(add(additive_identity,additive_inverse(a)),additive_inverse(a))),
% 97.49/16.00 inference(resolution,[status(thm)],[f80,f33])).
% 97.49/16.00 fof(f175,plain,(
% 97.49/16.00 ![X0]: (less_or_equal(X0,additive_identity)|less_or_equal(additive_identity,X0)|~defined(X0))),
% 97.49/16.00 inference(resolution,[status(thm)],[f57,f47])).
% 97.49/16.00 fof(f270,plain,(
% 97.49/16.00 ![X0]: (equalish(X0,additive_identity)|~equalish(X0,add(a,additive_inverse(a))))),
% 97.49/16.00 inference(resolution,[status(thm)],[f78,f65])).
% 97.49/16.00 fof(f271,plain,(
% 97.49/16.00 equalish(additive_identity,add(a,additive_inverse(a)))),
% 97.49/16.00 inference(resolution,[status(thm)],[f78,f63])).
% 97.49/16.00 fof(f286,plain,(
% 97.49/16.00 less_or_equal(additive_inverse(a),additive_identity)|less_or_equal(additive_identity,additive_inverse(a))),
% 97.49/16.00 inference(resolution,[status(thm)],[f175,f80])).
% 97.49/16.00 fof(f288,plain,(
% 97.49/16.00 less_or_equal(additive_identity,additive_identity)|less_or_equal(additive_identity,additive_identity)),
% 97.49/16.00 inference(resolution,[status(thm)],[f175,f47])).
% 97.49/16.00 fof(f289,plain,(
% 97.49/16.00 less_or_equal(additive_identity,additive_inverse(a))),
% 97.49/16.00 inference(forward_subsumption_resolution,[status(thm)],[f286,f75])).
% 97.49/16.00 fof(f290,plain,(
% 97.49/16.00 less_or_equal(additive_identity,additive_identity)),
% 97.49/16.00 inference(duplicate_literals_removal,[status(thm)],[f288])).
% 97.49/16.00 fof(f294,plain,(
% 97.49/16.00 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(additive_identity,X0))),
% 97.49/16.00 inference(resolution,[status(thm)],[f290,f71])).
% 97.49/16.00 fof(f303,plain,(
% 97.49/16.00 ![X0]: (less_or_equal(X0,additive_inverse(a))|~equalish(additive_identity,X0))),
% 97.49/16.00 inference(resolution,[status(thm)],[f289,f71])).
% 97.49/16.00 fof(f468,plain,(
% 97.49/16.00 ![X0]: (less_or_equal(add(additive_identity,X0),add(a,X0))|~defined(X0))),
% 97.49/16.00 inference(resolution,[status(thm)],[f59,f74])).
% 97.49/16.00 fof(f493,plain,(
% 97.49/16.00 less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a)))),
% 97.49/16.00 inference(resolution,[status(thm)],[f468,f80])).
% 97.49/16.00 fof(f845,plain,(
% 97.49/16.00 ![X0]: (less_or_equal(X0,add(a,additive_inverse(a)))|~equalish(add(additive_identity,additive_inverse(a)),X0))),
% 97.49/16.00 inference(resolution,[status(thm)],[f493,f71])).
% 97.49/16.00 fof(f5690,plain,(
% 97.49/16.00 less_or_equal(add(a,additive_inverse(a)),additive_inverse(a))),
% 97.49/16.00 inference(resolution,[status(thm)],[f271,f303])).
% 97.49/16.00 fof(f17189,plain,(
% 97.49/16.00 less_or_equal(additive_inverse(a),add(a,additive_inverse(a)))),
% 97.49/16.00 inference(resolution,[status(thm)],[f845,f84])).
% 97.49/16.00 fof(f18919,plain,(
% 97.49/16.00 equalish(add(a,additive_inverse(a)),additive_inverse(a))|~less_or_equal(add(a,additive_inverse(a)),additive_inverse(a))),
% 97.49/16.00 inference(resolution,[status(thm)],[f17189,f53])).
% 97.49/16.00 fof(f18920,plain,(
% 97.49/16.00 equalish(add(a,additive_inverse(a)),additive_inverse(a))),
% 97.49/16.00 inference(forward_subsumption_resolution,[status(thm)],[f18919,f5690])).
% 97.49/16.00 fof(f18924,plain,(
% 97.49/16.00 equalish(additive_inverse(a),add(a,additive_inverse(a)))),
% 97.49/16.00 inference(resolution,[status(thm)],[f18920,f63])).
% 97.49/16.00 fof(f20902,plain,(
% 97.49/16.00 equalish(additive_inverse(a),additive_identity)),
% 97.49/16.00 inference(resolution,[status(thm)],[f18924,f270])).
% 97.49/16.00 fof(f20912,plain,(
% 97.49/16.00 equalish(additive_identity,additive_inverse(a))),
% 97.49/16.00 inference(resolution,[status(thm)],[f20902,f63])).
% 97.49/16.00 fof(f20918,plain,(
% 97.49/16.00 less_or_equal(additive_inverse(a),additive_identity)),
% 97.49/16.00 inference(resolution,[status(thm)],[f20912,f294])).
% 97.49/16.00 fof(f20924,plain,(
% 97.49/16.00 $false),
% 97.49/16.00 inference(forward_subsumption_resolution,[status(thm)],[f20918,f75])).
% 97.49/16.00 % SZS output end CNFRefutation for theBenchmark.p
% 19.79/16.08 % Elapsed time: 15.699170 seconds
% 19.79/16.08 % CPU time: 123.041985 seconds
% 19.79/16.08 % Total memory used: 536.335 MB
% 19.79/16.08 % Net memory used: 504.017 MB
%------------------------------------------------------------------------------