%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD019-1 : 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 : n006.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 12:22:19 PM UTC 2026
% Result : Unsatisfiable 3.02s 0.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD019-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:37:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 3.02/0.83 % Refutation found
% 3.02/0.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.02/0.83 % SZS output start CNFRefutation for theBenchmark
% 3.02/0.83 fof(f2,axiom,(
% 3.02/0.83 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f3,axiom,(
% 3.02/0.83 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f4,axiom,(
% 3.02/0.83 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f12,axiom,(
% 3.02/0.83 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f22,axiom,(
% 3.02/0.83 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f23,axiom,(
% 3.02/0.83 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f24,axiom,(
% 3.02/0.83 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f28,hypothesis,(
% 3.02/0.83 defined(a) ),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f29,negated_conjecture,(
% 3.02/0.83 equalish(additive_inverse(a),additive_identity) ),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f30,negated_conjecture,(
% 3.02/0.83 ~ equalish(a,additive_identity) ),
% 3.02/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.83 fof(f33,plain,(
% 3.02/0.83 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f2])).
% 3.02/0.83 fof(f34,plain,(
% 3.02/0.83 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f3])).
% 3.02/0.83 fof(f35,plain,(
% 3.02/0.83 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 3.02/0.83 inference(miniscoping,[status(thm)],[f4])).
% 3.02/0.83 fof(f36,plain,(
% 3.02/0.83 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f35])).
% 3.02/0.83 fof(f48,plain,(
% 3.02/0.83 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f12])).
% 3.02/0.83 fof(f63,plain,(
% 3.02/0.83 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f22])).
% 3.02/0.83 fof(f64,plain,(
% 3.02/0.83 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 3.02/0.83 inference(miniscoping,[status(thm)],[f23])).
% 3.02/0.83 fof(f65,plain,(
% 3.02/0.83 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f64])).
% 3.02/0.83 fof(f66,plain,(
% 3.02/0.83 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 3.02/0.83 inference(miniscoping,[status(thm)],[f24])).
% 3.02/0.83 fof(f67,plain,(
% 3.02/0.83 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f66])).
% 3.02/0.83 fof(f73,plain,(
% 3.02/0.83 defined(a)),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f28])).
% 3.02/0.83 fof(f74,plain,(
% 3.02/0.83 equalish(additive_inverse(a),additive_identity)),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f29])).
% 3.02/0.83 fof(f75,plain,(
% 3.02/0.83 ~equalish(a,additive_identity)),
% 3.02/0.83 inference(cnf_transformation,[status(thm)],[f30])).
% 3.02/0.83 fof(f76,plain,(
% 3.02/0.83 ~equalish(additive_identity,a)),
% 3.02/0.83 inference(resolution,[status(thm)],[f63,f75])).
% 3.02/0.83 fof(f78,plain,(
% 3.02/0.83 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,a))),
% 3.02/0.83 inference(resolution,[status(thm)],[f65,f76])).
% 3.02/0.83 fof(f81,plain,(
% 3.02/0.83 ![X0]: (~equalish(X0,a)|~equalish(X0,additive_identity))),
% 3.02/0.83 inference(resolution,[status(thm)],[f78,f63])).
% 3.02/0.83 fof(f87,plain,(
% 3.02/0.83 ![X0,X1]: (~equalish(X0,additive_identity)|~equalish(X0,X1)|~equalish(X1,a))),
% 3.02/0.83 inference(resolution,[status(thm)],[f81,f65])).
% 3.02/0.83 fof(f120,plain,(
% 3.02/0.83 ![X0]: (~equalish(X0,additive_identity)|~equalish(X0,add(additive_identity,a))|~defined(a))),
% 3.02/0.83 inference(resolution,[status(thm)],[f87,f33])).
% 3.02/0.83 fof(f124,plain,(
% 3.02/0.83 ![X0]: (~equalish(X0,additive_identity)|~equalish(X0,add(additive_identity,a)))),
% 3.02/0.83 inference(forward_subsumption_resolution,[status(thm)],[f120,f73])).
% 3.02/0.83 fof(f300,plain,(
% 3.02/0.84 ![X0]: (~defined(a)|~equalish(X0,additive_identity)|~equalish(add(X0,a),additive_identity))),
% 3.02/0.84 inference(resolution,[status(thm)],[f67,f124])).
% 3.02/0.84 fof(f304,plain,(
% 3.02/0.84 ![X0]: (~equalish(X0,additive_identity)|~equalish(add(X0,a),additive_identity))),
% 3.02/0.84 inference(forward_subsumption_resolution,[status(thm)],[f300,f73])).
% 3.02/0.84 fof(f452,plain,(
% 3.02/0.84 ![X0,X1]: (~equalish(X0,additive_identity)|~equalish(add(X0,a),X1)|~equalish(X1,additive_identity))),
% 3.02/0.84 inference(resolution,[status(thm)],[f304,f65])).
% 3.02/0.84 fof(f1565,plain,(
% 3.02/0.84 ![X0]: (~equalish(X0,additive_identity)|~equalish(add(a,X0),additive_identity)|~defined(X0)|~defined(a))),
% 3.02/0.84 inference(resolution,[status(thm)],[f452,f36])).
% 3.02/0.84 fof(f1570,plain,(
% 3.02/0.84 ![X0]: (~equalish(X0,additive_identity)|~equalish(add(a,X0),additive_identity)|~defined(X0))),
% 3.02/0.84 inference(forward_subsumption_resolution,[status(thm)],[f1565,f73])).
% 3.02/0.84 fof(f1576,plain,(
% 3.02/0.84 ~equalish(additive_inverse(a),additive_identity)|~defined(additive_inverse(a))|~defined(a)),
% 3.02/0.84 inference(resolution,[status(thm)],[f1570,f34])).
% 3.02/0.84 fof(f1584,plain,(
% 3.02/0.84 ~defined(additive_inverse(a))|~defined(a)),
% 3.02/0.84 inference(forward_subsumption_resolution,[status(thm)],[f1576,f74])).
% 3.02/0.84 fof(f1586,plain,(
% 3.02/0.84 ~defined(a)),
% 3.02/0.84 inference(forward_subsumption_resolution,[status(thm)],[f1584,f48])).
% 3.02/0.84 fof(f1587,plain,(
% 3.02/0.84 $false),
% 3.02/0.84 inference(backward_subsumption_resolution,[status(thm)],[f73,f1586])).
% 3.02/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 3.14/0.86 % Elapsed time: 0.486897 seconds
% 3.14/0.86 % CPU time: 3.692226 seconds
% 3.14/0.86 % Total memory used: 89.520 MB
% 3.14/0.86 % Net memory used: 84.882 MB
%------------------------------------------------------------------------------