%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD065-1 : 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 : n020.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 10.90s 1.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD065-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 15:45:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 10.90/1.82 % Refutation found
% 10.90/1.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.90/1.82 % SZS output start CNFRefutation for theBenchmark
% 10.90/1.82 fof(f2,axiom,(
% 10.90/1.82 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f3,axiom,(
% 10.90/1.82 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f4,axiom,(
% 10.90/1.82 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f12,axiom,(
% 10.90/1.82 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f17,axiom,(
% 10.90/1.82 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f18,axiom,(
% 10.90/1.82 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f19,axiom,(
% 10.90/1.82 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f22,axiom,(
% 10.90/1.82 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f23,axiom,(
% 10.90/1.82 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f26,axiom,(
% 10.90/1.82 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f28,hypothesis,(
% 10.90/1.82 defined(a) ),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f29,negated_conjecture,(
% 10.90/1.82 less_or_equal(additive_inverse(a),additive_identity) ),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f30,negated_conjecture,(
% 10.90/1.82 ~ less_or_equal(additive_identity,a) ),
% 10.90/1.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.82 fof(f33,plain,(
% 10.90/1.82 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f2])).
% 10.90/1.82 fof(f34,plain,(
% 10.90/1.82 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f3])).
% 10.90/1.82 fof(f35,plain,(
% 10.90/1.82 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 10.90/1.82 inference(miniscoping,[status(thm)],[f4])).
% 10.90/1.82 fof(f36,plain,(
% 10.90/1.82 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f35])).
% 10.90/1.82 fof(f48,plain,(
% 10.90/1.82 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f12])).
% 10.90/1.82 fof(f54,plain,(
% 10.90/1.82 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 10.90/1.82 inference(miniscoping,[status(thm)],[f17])).
% 10.90/1.82 fof(f55,plain,(
% 10.90/1.82 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f54])).
% 10.90/1.82 fof(f56,plain,(
% 10.90/1.82 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 10.90/1.82 inference(miniscoping,[status(thm)],[f18])).
% 10.90/1.82 fof(f57,plain,(
% 10.90/1.82 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f56])).
% 10.90/1.82 fof(f58,plain,(
% 10.90/1.82 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 10.90/1.82 inference(miniscoping,[status(thm)],[f19])).
% 10.90/1.82 fof(f59,plain,(
% 10.90/1.82 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f58])).
% 10.90/1.82 fof(f63,plain,(
% 10.90/1.82 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f22])).
% 10.90/1.82 fof(f64,plain,(
% 10.90/1.82 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 10.90/1.82 inference(miniscoping,[status(thm)],[f23])).
% 10.90/1.82 fof(f65,plain,(
% 10.90/1.82 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 10.90/1.82 inference(cnf_transformation,[status(thm)],[f64])).
% 10.90/1.82 fof(f70,plain,(
% 10.90/1.82 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 10.90/1.84 inference(miniscoping,[status(thm)],[f26])).
% 10.90/1.84 fof(f71,plain,(
% 10.90/1.84 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 10.90/1.84 inference(cnf_transformation,[status(thm)],[f70])).
% 10.90/1.84 fof(f73,plain,(
% 10.90/1.84 defined(a)),
% 10.90/1.84 inference(cnf_transformation,[status(thm)],[f28])).
% 10.90/1.84 fof(f74,plain,(
% 10.90/1.84 less_or_equal(additive_inverse(a),additive_identity)),
% 10.90/1.84 inference(cnf_transformation,[status(thm)],[f29])).
% 10.90/1.84 fof(f75,plain,(
% 10.90/1.84 ~less_or_equal(additive_identity,a)),
% 10.90/1.84 inference(cnf_transformation,[status(thm)],[f30])).
% 10.90/1.84 fof(f80,plain,(
% 10.90/1.84 ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 10.90/1.84 inference(resolution,[status(thm)],[f57,f73])).
% 10.90/1.84 fof(f134,plain,(
% 10.90/1.84 less_or_equal(a,a)|less_or_equal(a,a)),
% 10.90/1.84 inference(resolution,[status(thm)],[f80,f73])).
% 10.90/1.84 fof(f136,plain,(
% 10.90/1.84 less_or_equal(a,a)),
% 10.90/1.84 inference(duplicate_literals_removal,[status(thm)],[f134])).
% 10.90/1.84 fof(f138,plain,(
% 10.90/1.84 ![X0]: (less_or_equal(X0,a)|~equalish(a,X0))),
% 10.90/1.84 inference(resolution,[status(thm)],[f136,f71])).
% 10.90/1.84 fof(f147,plain,(
% 10.90/1.84 ![X0]: (less_or_equal(X0,a)|~equalish(X0,a))),
% 10.90/1.84 inference(resolution,[status(thm)],[f138,f63])).
% 10.90/1.84 fof(f179,plain,(
% 10.90/1.84 ![X0,X1]: (~equalish(X0,a)|less_or_equal(X1,a)|~less_or_equal(X1,X0))),
% 10.90/1.84 inference(resolution,[status(thm)],[f147,f55])).
% 10.90/1.84 fof(f354,plain,(
% 10.90/1.84 ![X0,X1,X2,X3]: (~defined(X0)|~less_or_equal(X1,X2)|less_or_equal(X3,add(X2,X0))|~equalish(add(X1,X0),X3))),
% 10.90/1.84 inference(resolution,[status(thm)],[f59,f71])).
% 10.90/1.84 fof(f385,plain,(
% 10.90/1.84 ![X0]: (~equalish(X0,a)|~less_or_equal(additive_identity,X0))),
% 10.90/1.84 inference(resolution,[status(thm)],[f179,f75])).
% 10.90/1.84 fof(f393,plain,(
% 10.90/1.84 ~less_or_equal(additive_identity,add(additive_identity,a))|~defined(a)),
% 10.90/1.84 inference(resolution,[status(thm)],[f385,f33])).
% 10.90/1.84 fof(f398,plain,(
% 10.90/1.84 ~less_or_equal(additive_identity,add(additive_identity,a))),
% 10.90/1.84 inference(forward_subsumption_resolution,[status(thm)],[f393,f73])).
% 10.90/1.84 fof(f405,plain,(
% 10.90/1.84 ![X0]: (~defined(a)|~less_or_equal(X0,additive_identity)|~equalish(add(X0,a),additive_identity))),
% 10.90/1.84 inference(resolution,[status(thm)],[f354,f398])).
% 10.90/1.84 fof(f410,plain,(
% 10.90/1.84 ![X0]: (~less_or_equal(X0,additive_identity)|~equalish(add(X0,a),additive_identity))),
% 10.90/1.84 inference(forward_subsumption_resolution,[status(thm)],[f405,f73])).
% 10.90/1.84 fof(f510,plain,(
% 10.90/1.84 ![X0,X1]: (~less_or_equal(X0,additive_identity)|~equalish(add(X0,a),X1)|~equalish(X1,additive_identity))),
% 10.90/1.84 inference(resolution,[status(thm)],[f410,f65])).
% 10.90/1.84 fof(f2647,plain,(
% 10.90/1.84 ![X0]: (~less_or_equal(X0,additive_identity)|~equalish(add(a,X0),additive_identity)|~defined(X0)|~defined(a))),
% 10.90/1.84 inference(resolution,[status(thm)],[f510,f36])).
% 10.90/1.84 fof(f2652,plain,(
% 10.90/1.84 ![X0]: (~less_or_equal(X0,additive_identity)|~equalish(add(a,X0),additive_identity)|~defined(X0))),
% 10.90/1.84 inference(forward_subsumption_resolution,[status(thm)],[f2647,f73])).
% 10.90/1.84 fof(f2657,plain,(
% 10.90/1.84 ~less_or_equal(additive_inverse(a),additive_identity)|~defined(additive_inverse(a))|~defined(a)),
% 10.90/1.84 inference(resolution,[status(thm)],[f2652,f34])).
% 10.90/1.84 fof(f2661,plain,(
% 10.90/1.84 ~defined(additive_inverse(a))|~defined(a)),
% 10.90/1.84 inference(forward_subsumption_resolution,[status(thm)],[f2657,f74])).
% 10.90/1.84 fof(f2665,plain,(
% 10.90/1.84 ~defined(a)),
% 10.90/1.84 inference(forward_subsumption_resolution,[status(thm)],[f2661,f48])).
% 10.90/1.84 fof(f2666,plain,(
% 10.90/1.84 $false),
% 10.90/1.84 inference(backward_subsumption_resolution,[status(thm)],[f73,f2665])).
% 10.90/1.84 % SZS output end CNFRefutation for theBenchmark.p
% 10.90/1.87 % Elapsed time: 1.472399 seconds
% 10.90/1.87 % CPU time: 11.206259 seconds
% 10.90/1.87 % Total memory used: 124.774 MB
% 10.90/1.87 % Net memory used: 119.293 MB
%------------------------------------------------------------------------------