%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD071-2 : 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 : 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 12:22:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD071-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 15:44:41 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f17,axiom,(
% 0.14/0.48 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f18,axiom,(
% 0.14/0.48 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f20,axiom,(
% 0.14/0.48 (![Y,Z]: (( less_or_equal(additive_identity,multiply(Y,Z))| ~ less_or_equal(additive_identity,Y)| ~ less_or_equal(additive_identity,Z) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f22,axiom,(
% 0.14/0.48 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f26,axiom,(
% 0.14/0.48 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f30,hypothesis,(
% 0.14/0.48 defined(u) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f31,negated_conjecture,(
% 0.14/0.48 less_or_equal(additive_identity,a) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f32,negated_conjecture,(
% 0.14/0.48 less_or_equal(additive_identity,b) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f33,negated_conjecture,(
% 0.14/0.48 equalish(multiply(a,b),u) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f34,negated_conjecture,(
% 0.14/0.48 ~ less_or_equal(additive_identity,u) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f58,plain,(
% 0.14/0.48 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f17])).
% 0.14/0.48 fof(f59,plain,(
% 0.14/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.48 fof(f60,plain,(
% 0.14/0.48 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f18])).
% 0.14/0.48 fof(f61,plain,(
% 0.14/0.48 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.48 fof(f64,plain,(
% 0.14/0.48 ![Z]: ((![Y]: (less_or_equal(additive_identity,multiply(Y,Z))|~less_or_equal(additive_identity,Y)))|~less_or_equal(additive_identity,Z))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f20])).
% 0.14/0.48 fof(f65,plain,(
% 0.14/0.48 ![X0,X1]: (less_or_equal(additive_identity,multiply(X0,X1))|~less_or_equal(additive_identity,X0)|~less_or_equal(additive_identity,X1))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/0.48 fof(f67,plain,(
% 0.14/0.48 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.48 fof(f74,plain,(
% 0.14/0.48 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f26])).
% 0.14/0.48 fof(f75,plain,(
% 0.14/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/0.48 fof(f79,plain,(
% 0.14/0.48 defined(u)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.48 fof(f80,plain,(
% 0.14/0.48 less_or_equal(additive_identity,a)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.48 fof(f81,plain,(
% 0.14/0.48 less_or_equal(additive_identity,b)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.48 fof(f82,plain,(
% 0.14/0.48 equalish(multiply(a,b),u)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.48 fof(f83,plain,(
% 0.14/0.48 ~less_or_equal(additive_identity,u)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.48 fof(f88,plain,(
% 0.14/0.48 ![X0]: (~less_or_equal(additive_identity,X0)|~less_or_equal(X0,u))),
% 0.14/0.48 inference(resolution,[status(thm)],[f59,f83])).
% 0.14/0.48 fof(f95,plain,(
% 0.14/0.48 ![X0]: (less_or_equal(X0,u)|less_or_equal(u,X0)|~defined(X0))),
% 0.14/0.48 inference(resolution,[status(thm)],[f61,f79])).
% 0.14/0.48 fof(f249,plain,(
% 0.14/0.48 less_or_equal(u,u)|less_or_equal(u,u)),
% 0.14/0.48 inference(resolution,[status(thm)],[f95,f79])).
% 0.14/0.48 fof(f253,plain,(
% 0.14/0.48 less_or_equal(u,u)),
% 0.14/0.48 inference(duplicate_literals_removal,[status(thm)],[f249])).
% 0.14/0.48 fof(f276,plain,(
% 0.14/0.48 ![X0]: (less_or_equal(X0,u)|~equalish(u,X0))),
% 0.14/0.48 inference(resolution,[status(thm)],[f253,f75])).
% 0.14/0.48 fof(f289,plain,(
% 0.14/0.48 ![X0]: (less_or_equal(X0,u)|~equalish(X0,u))),
% 0.14/0.48 inference(resolution,[status(thm)],[f276,f67])).
% 0.14/0.48 fof(f370,plain,(
% 0.14/0.48 less_or_equal(multiply(a,b),u)),
% 0.14/0.48 inference(resolution,[status(thm)],[f289,f82])).
% 0.14/0.48 fof(f416,plain,(
% 0.14/0.48 ~less_or_equal(additive_identity,multiply(a,b))),
% 0.14/0.48 inference(resolution,[status(thm)],[f370,f88])).
% 0.14/0.48 fof(f467,plain,(
% 0.14/0.48 ~less_or_equal(additive_identity,a)|~less_or_equal(additive_identity,b)),
% 0.14/0.48 inference(resolution,[status(thm)],[f416,f65])).
% 0.14/0.48 fof(f471,plain,(
% 0.14/0.48 ~less_or_equal(additive_identity,b)),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f467,f80])).
% 0.14/0.48 fof(f473,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f471,f81])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.50 % Elapsed time: 0.123489 seconds
% 0.14/0.50 % CPU time: 0.788537 seconds
% 0.14/0.50 % Total memory used: 37.189 MB
% 0.14/0.50 % Net memory used: 36.266 MB
%------------------------------------------------------------------------------