%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD003-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 2.45s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD003-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 15:35:51 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 2.45/0.77 % Refutation found
% 2.45/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.45/0.77 % SZS output start CNFRefutation for theBenchmark
% 2.45/0.77 fof(f2,axiom,(
% 2.45/0.77 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f3,axiom,(
% 2.45/0.77 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f4,axiom,(
% 2.45/0.77 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f10,axiom,(
% 2.45/0.77 (![X,Y]: (( defined(add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f12,axiom,(
% 2.45/0.77 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f22,axiom,(
% 2.45/0.77 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f23,axiom,(
% 2.45/0.77 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f24,axiom,(
% 2.45/0.77 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f28,hypothesis,(
% 2.45/0.77 defined(a) ),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f29,hypothesis,(
% 2.45/0.77 defined(b) ),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f30,negated_conjecture,(
% 2.45/0.77 ~ equalish(add(a,add(b,additive_inverse(b))),a) ),
% 2.45/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.77 fof(f33,plain,(
% 2.45/0.77 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f2])).
% 2.45/0.77 fof(f34,plain,(
% 2.45/0.77 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f3])).
% 2.45/0.77 fof(f35,plain,(
% 2.45/0.77 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 2.45/0.77 inference(miniscoping,[status(thm)],[f4])).
% 2.45/0.77 fof(f36,plain,(
% 2.45/0.77 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f35])).
% 2.45/0.77 fof(f45,plain,(
% 2.45/0.77 ![Y]: ((![X]: (defined(add(X,Y))|~defined(X)))|~defined(Y))),
% 2.45/0.77 inference(miniscoping,[status(thm)],[f10])).
% 2.45/0.77 fof(f46,plain,(
% 2.45/0.77 ![X0,X1]: (defined(add(X0,X1))|~defined(X0)|~defined(X1))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f45])).
% 2.45/0.77 fof(f48,plain,(
% 2.45/0.77 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f12])).
% 2.45/0.77 fof(f63,plain,(
% 2.45/0.77 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f22])).
% 2.45/0.77 fof(f64,plain,(
% 2.45/0.77 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 2.45/0.77 inference(miniscoping,[status(thm)],[f23])).
% 2.45/0.77 fof(f65,plain,(
% 2.45/0.77 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f64])).
% 2.45/0.77 fof(f66,plain,(
% 2.45/0.77 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 2.45/0.77 inference(miniscoping,[status(thm)],[f24])).
% 2.45/0.77 fof(f67,plain,(
% 2.45/0.77 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f66])).
% 2.45/0.77 fof(f73,plain,(
% 2.45/0.77 defined(a)),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f28])).
% 2.45/0.77 fof(f74,plain,(
% 2.45/0.77 defined(b)),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f29])).
% 2.45/0.77 fof(f75,plain,(
% 2.45/0.77 ~equalish(add(a,add(b,additive_inverse(b))),a)),
% 2.45/0.77 inference(cnf_transformation,[status(thm)],[f30])).
% 2.45/0.77 fof(f83,plain,(
% 2.45/0.77 ![X0]: (~equalish(add(a,add(b,additive_inverse(b))),X0)|~equalish(X0,a))),
% 2.45/0.77 inference(resolution,[status(thm)],[f65,f75])).
% 2.45/0.77 fof(f99,plain,(
% 2.45/0.77 ~equalish(add(a,add(b,additive_inverse(b))),add(additive_identity,a))|~defined(a)),
% 2.45/0.77 inference(resolution,[status(thm)],[f83,f33])).
% 2.45/0.77 fof(f104,plain,(
% 2.45/0.77 ~equalish(add(a,add(b,additive_inverse(b))),add(additive_identity,a))),
% 2.45/0.77 inference(forward_subsumption_resolution,[status(thm)],[f99,f73])).
% 2.45/0.77 fof(f119,plain,(
% 2.45/0.77 ~equalish(add(additive_identity,a),add(a,add(b,additive_inverse(b))))),
% 2.45/0.77 inference(resolution,[status(thm)],[f104,f63])).
% 2.45/0.77 fof(f308,plain,(
% 2.45/0.77 ![X0]: (~equalish(add(additive_identity,a),X0)|~equalish(X0,add(a,add(b,additive_inverse(b)))))),
% 2.45/0.77 inference(resolution,[status(thm)],[f119,f65])).
% 2.45/0.77 fof(f835,plain,(
% 2.45/0.77 ![X0]: (~equalish(add(X0,a),add(a,add(b,additive_inverse(b))))|~defined(a)|~equalish(additive_identity,X0))),
% 2.45/0.77 inference(resolution,[status(thm)],[f308,f67])).
% 2.45/0.77 fof(f840,plain,(
% 2.45/0.77 ![X0]: (~equalish(add(X0,a),add(a,add(b,additive_inverse(b))))|~equalish(additive_identity,X0))),
% 2.45/0.77 inference(forward_subsumption_resolution,[status(thm)],[f835,f73])).
% 2.45/0.77 fof(f1858,plain,(
% 2.45/0.77 ~equalish(additive_identity,add(b,additive_inverse(b)))|~defined(add(b,additive_inverse(b)))|~defined(a)),
% 2.45/0.77 inference(resolution,[status(thm)],[f840,f36])).
% 2.45/0.77 fof(f1861,plain,(
% 2.45/0.77 ~equalish(additive_identity,add(b,additive_inverse(b)))|~defined(add(b,additive_inverse(b)))),
% 2.45/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1858,f73])).
% 2.45/0.77 fof(f1938,plain,(
% 2.45/0.77 ~equalish(additive_identity,add(b,additive_inverse(b)))|~defined(b)|~defined(additive_inverse(b))),
% 2.45/0.77 inference(resolution,[status(thm)],[f1861,f46])).
% 2.45/0.77 fof(f1939,plain,(
% 2.45/0.77 ~equalish(additive_identity,add(b,additive_inverse(b)))|~defined(additive_inverse(b))),
% 2.45/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1938,f74])).
% 2.45/0.77 fof(f1940,plain,(
% 2.45/0.77 ~equalish(additive_identity,add(b,additive_inverse(b)))|~defined(b)),
% 2.45/0.77 inference(resolution,[status(thm)],[f1939,f48])).
% 2.45/0.77 fof(f1941,plain,(
% 2.45/0.77 ~equalish(additive_identity,add(b,additive_inverse(b)))),
% 2.45/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1940,f74])).
% 2.45/0.77 fof(f1947,plain,(
% 2.45/0.77 ~equalish(add(b,additive_inverse(b)),additive_identity)),
% 2.45/0.77 inference(resolution,[status(thm)],[f1941,f63])).
% 2.45/0.77 fof(f1948,plain,(
% 2.45/0.77 ~defined(b)),
% 2.45/0.77 inference(resolution,[status(thm)],[f1947,f34])).
% 2.45/0.77 fof(f1951,plain,(
% 2.45/0.77 $false),
% 2.45/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1948,f74])).
% 2.45/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 2.45/0.79 % Elapsed time: 0.421231 seconds
% 2.45/0.79 % CPU time: 3.071020 seconds
% 2.45/0.79 % Total memory used: 79.690 MB
% 2.45/0.79 % Net memory used: 76.481 MB
%------------------------------------------------------------------------------