%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD060-2 : 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 : n001.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 12:22:28 PM UTC 2026
% Result : Unsatisfiable 9.78s 1.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD060-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n001.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 21 15:49:15 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 9.78/1.75 % Refutation found
% 9.78/1.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.78/1.75 % SZS output start CNFRefutation for theBenchmark
% 9.78/1.75 fof(f4,axiom,(
% 9.78/1.75 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f17,axiom,(
% 9.78/1.75 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f18,axiom,(
% 9.78/1.75 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f19,axiom,(
% 9.78/1.75 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f22,axiom,(
% 9.78/1.75 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f26,axiom,(
% 9.78/1.75 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f28,hypothesis,(
% 9.78/1.75 defined(a) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f29,hypothesis,(
% 9.78/1.75 defined(b) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f31,hypothesis,(
% 9.78/1.75 defined(v) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f32,negated_conjecture,(
% 9.78/1.75 equalish(add(a,a),u) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f33,negated_conjecture,(
% 9.78/1.75 equalish(add(b,b),v) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f34,negated_conjecture,(
% 9.78/1.75 less_or_equal(a,b) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f35,negated_conjecture,(
% 9.78/1.75 ~ less_or_equal(u,v) ),
% 9.78/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.75 fof(f40,plain,(
% 9.78/1.75 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 9.78/1.75 inference(miniscoping,[status(thm)],[f4])).
% 9.78/1.75 fof(f41,plain,(
% 9.78/1.75 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f40])).
% 9.78/1.75 fof(f59,plain,(
% 9.78/1.75 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 9.78/1.75 inference(miniscoping,[status(thm)],[f17])).
% 9.78/1.75 fof(f60,plain,(
% 9.78/1.75 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f59])).
% 9.78/1.75 fof(f61,plain,(
% 9.78/1.75 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 9.78/1.75 inference(miniscoping,[status(thm)],[f18])).
% 9.78/1.75 fof(f62,plain,(
% 9.78/1.75 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f61])).
% 9.78/1.75 fof(f63,plain,(
% 9.78/1.75 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 9.78/1.75 inference(miniscoping,[status(thm)],[f19])).
% 9.78/1.75 fof(f64,plain,(
% 9.78/1.75 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f63])).
% 9.78/1.75 fof(f68,plain,(
% 9.78/1.75 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f22])).
% 9.78/1.75 fof(f75,plain,(
% 9.78/1.75 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 9.78/1.75 inference(miniscoping,[status(thm)],[f26])).
% 9.78/1.75 fof(f76,plain,(
% 9.78/1.75 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f75])).
% 9.78/1.75 fof(f78,plain,(
% 9.78/1.75 defined(a)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f28])).
% 9.78/1.75 fof(f79,plain,(
% 9.78/1.75 defined(b)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f29])).
% 9.78/1.75 fof(f81,plain,(
% 9.78/1.75 defined(v)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f31])).
% 9.78/1.75 fof(f82,plain,(
% 9.78/1.75 equalish(add(a,a),u)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f32])).
% 9.78/1.75 fof(f83,plain,(
% 9.78/1.75 equalish(add(b,b),v)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f33])).
% 9.78/1.75 fof(f84,plain,(
% 9.78/1.75 less_or_equal(a,b)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f34])).
% 9.78/1.75 fof(f85,plain,(
% 9.78/1.75 ~less_or_equal(u,v)),
% 9.78/1.75 inference(cnf_transformation,[status(thm)],[f35])).
% 9.78/1.75 fof(f96,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(X0,v)|less_or_equal(v,X0)|~defined(X0))),
% 9.78/1.78 inference(resolution,[status(thm)],[f62,f81])).
% 9.78/1.78 fof(f100,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(add(a,X0),add(b,X0))|~defined(X0))),
% 9.78/1.78 inference(resolution,[status(thm)],[f64,f84])).
% 9.78/1.78 fof(f130,plain,(
% 9.78/1.78 ![X0,X1]: (less_or_equal(X0,add(b,X1))|~equalish(add(a,X1),X0)|~defined(X1))),
% 9.78/1.78 inference(resolution,[status(thm)],[f76,f100])).
% 9.78/1.78 fof(f283,plain,(
% 9.78/1.78 less_or_equal(v,v)|less_or_equal(v,v)),
% 9.78/1.78 inference(resolution,[status(thm)],[f96,f81])).
% 9.78/1.78 fof(f287,plain,(
% 9.78/1.78 less_or_equal(v,v)),
% 9.78/1.78 inference(duplicate_literals_removal,[status(thm)],[f283])).
% 9.78/1.78 fof(f316,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(X0,v)|~equalish(v,X0))),
% 9.78/1.78 inference(resolution,[status(thm)],[f287,f76])).
% 9.78/1.78 fof(f405,plain,(
% 9.78/1.78 less_or_equal(u,add(b,a))|~defined(a)),
% 9.78/1.78 inference(resolution,[status(thm)],[f130,f82])).
% 9.78/1.78 fof(f409,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(add(X0,a),add(b,X0))|~defined(X0)|~defined(a)|~defined(X0))),
% 9.78/1.78 inference(resolution,[status(thm)],[f130,f41])).
% 9.78/1.78 fof(f413,plain,(
% 9.78/1.78 less_or_equal(u,add(b,a))),
% 9.78/1.78 inference(forward_subsumption_resolution,[status(thm)],[f405,f78])).
% 9.78/1.78 fof(f417,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(add(X0,a),add(b,X0))|~defined(X0)|~defined(a))),
% 9.78/1.78 inference(duplicate_literals_removal,[status(thm)],[f409])).
% 9.78/1.78 fof(f418,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(add(X0,a),add(b,X0))|~defined(X0))),
% 9.78/1.78 inference(forward_subsumption_resolution,[status(thm)],[f417,f78])).
% 9.78/1.78 fof(f430,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(X0,v)|~equalish(X0,v))),
% 9.78/1.78 inference(resolution,[status(thm)],[f316,f68])).
% 9.78/1.78 fof(f542,plain,(
% 9.78/1.78 less_or_equal(add(b,b),v)),
% 9.78/1.78 inference(resolution,[status(thm)],[f430,f83])).
% 9.78/1.78 fof(f646,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(X0,v)|~less_or_equal(X0,add(b,b)))),
% 9.78/1.78 inference(resolution,[status(thm)],[f542,f60])).
% 9.78/1.78 fof(f1777,plain,(
% 9.78/1.78 ~defined(b)|less_or_equal(add(b,a),v)),
% 9.78/1.78 inference(resolution,[status(thm)],[f418,f646])).
% 9.78/1.78 fof(f1783,plain,(
% 9.78/1.78 less_or_equal(add(b,a),v)),
% 9.78/1.78 inference(forward_subsumption_resolution,[status(thm)],[f1777,f79])).
% 9.78/1.78 fof(f1788,plain,(
% 9.78/1.78 ![X0]: (less_or_equal(X0,v)|~less_or_equal(X0,add(b,a)))),
% 9.78/1.78 inference(resolution,[status(thm)],[f1783,f60])).
% 9.78/1.78 fof(f2875,plain,(
% 9.78/1.78 less_or_equal(u,v)),
% 9.78/1.78 inference(resolution,[status(thm)],[f1788,f413])).
% 9.78/1.78 fof(f2882,plain,(
% 9.78/1.78 $false),
% 9.78/1.78 inference(forward_subsumption_resolution,[status(thm)],[f2875,f85])).
% 9.78/1.78 % SZS output end CNFRefutation for theBenchmark.p
% 9.78/1.80 % Elapsed time: 1.362158 seconds
% 9.78/1.80 % CPU time: 10.310529 seconds
% 9.78/1.80 % Total memory used: 133.193 MB
% 9.78/1.80 % Net memory used: 125.596 MB
%------------------------------------------------------------------------------