%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD061-2 : 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 12:22:28 PM UTC 2026
% Result : Unsatisfiable 4.78s 1.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:43:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 4.78/1.04 % Refutation found
% 4.78/1.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.78/1.04 % SZS output start CNFRefutation for theBenchmark
% 4.78/1.04 fof(f4,axiom,(
% 4.78/1.04 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f17,axiom,(
% 4.78/1.04 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f18,axiom,(
% 4.78/1.04 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f19,axiom,(
% 4.78/1.04 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f22,axiom,(
% 4.78/1.04 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f26,axiom,(
% 4.78/1.04 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f29,hypothesis,(
% 4.78/1.04 defined(b) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f30,hypothesis,(
% 4.78/1.04 defined(c) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f33,hypothesis,(
% 4.78/1.04 defined(v) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f34,negated_conjecture,(
% 4.78/1.04 equalish(add(a,c),u) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f35,negated_conjecture,(
% 4.78/1.04 equalish(add(d,b),v) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f36,negated_conjecture,(
% 4.78/1.04 less_or_equal(a,b) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f37,negated_conjecture,(
% 4.78/1.04 less_or_equal(c,d) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f38,negated_conjecture,(
% 4.78/1.04 ~ less_or_equal(u,v) ),
% 4.78/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.78/1.04 fof(f43,plain,(
% 4.78/1.04 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 4.78/1.04 inference(miniscoping,[status(thm)],[f4])).
% 4.78/1.04 fof(f44,plain,(
% 4.78/1.04 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f43])).
% 4.78/1.04 fof(f62,plain,(
% 4.78/1.04 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 4.78/1.04 inference(miniscoping,[status(thm)],[f17])).
% 4.78/1.04 fof(f63,plain,(
% 4.78/1.04 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f62])).
% 4.78/1.04 fof(f64,plain,(
% 4.78/1.04 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 4.78/1.04 inference(miniscoping,[status(thm)],[f18])).
% 4.78/1.04 fof(f65,plain,(
% 4.78/1.04 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f64])).
% 4.78/1.04 fof(f66,plain,(
% 4.78/1.04 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 4.78/1.04 inference(miniscoping,[status(thm)],[f19])).
% 4.78/1.04 fof(f67,plain,(
% 4.78/1.04 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f66])).
% 4.78/1.04 fof(f71,plain,(
% 4.78/1.04 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f22])).
% 4.78/1.04 fof(f78,plain,(
% 4.78/1.04 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 4.78/1.04 inference(miniscoping,[status(thm)],[f26])).
% 4.78/1.04 fof(f79,plain,(
% 4.78/1.04 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f78])).
% 4.78/1.04 fof(f82,plain,(
% 4.78/1.04 defined(b)),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f29])).
% 4.78/1.04 fof(f83,plain,(
% 4.78/1.04 defined(c)),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f30])).
% 4.78/1.04 fof(f86,plain,(
% 4.78/1.04 defined(v)),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f33])).
% 4.78/1.04 fof(f87,plain,(
% 4.78/1.04 equalish(add(a,c),u)),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f34])).
% 4.78/1.04 fof(f88,plain,(
% 4.78/1.04 equalish(add(d,b),v)),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f35])).
% 4.78/1.04 fof(f89,plain,(
% 4.78/1.04 less_or_equal(a,b)),
% 4.78/1.04 inference(cnf_transformation,[status(thm)],[f36])).
% 4.78/1.05 fof(f90,plain,(
% 4.78/1.05 less_or_equal(c,d)),
% 4.78/1.05 inference(cnf_transformation,[status(thm)],[f37])).
% 4.78/1.05 fof(f91,plain,(
% 4.78/1.05 ~less_or_equal(u,v)),
% 4.78/1.05 inference(cnf_transformation,[status(thm)],[f38])).
% 4.78/1.05 fof(f128,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(X0,v)|less_or_equal(v,X0)|~defined(X0))),
% 4.78/1.05 inference(resolution,[status(thm)],[f65,f86])).
% 4.78/1.05 fof(f134,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(add(c,X0),add(d,X0))|~defined(X0))),
% 4.78/1.05 inference(resolution,[status(thm)],[f67,f90])).
% 4.78/1.05 fof(f135,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(add(a,X0),add(b,X0))|~defined(X0))),
% 4.78/1.05 inference(resolution,[status(thm)],[f67,f89])).
% 4.78/1.05 fof(f217,plain,(
% 4.78/1.05 ![X0,X1]: (~defined(X0)|less_or_equal(add(c,X0),X1)|~less_or_equal(add(d,X0),X1))),
% 4.78/1.05 inference(resolution,[status(thm)],[f134,f63])).
% 4.78/1.05 fof(f445,plain,(
% 4.78/1.05 ![X0,X1]: (~defined(X0)|less_or_equal(X1,add(b,X0))|~equalish(add(a,X0),X1))),
% 4.78/1.05 inference(resolution,[status(thm)],[f135,f79])).
% 4.78/1.05 fof(f504,plain,(
% 4.78/1.05 less_or_equal(v,v)|less_or_equal(v,v)),
% 4.78/1.05 inference(resolution,[status(thm)],[f128,f86])).
% 4.78/1.05 fof(f510,plain,(
% 4.78/1.05 less_or_equal(v,v)),
% 4.78/1.05 inference(duplicate_literals_removal,[status(thm)],[f504])).
% 4.78/1.05 fof(f526,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(X0,v)|~equalish(v,X0))),
% 4.78/1.05 inference(resolution,[status(thm)],[f510,f79])).
% 4.78/1.05 fof(f550,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(X0,v)|~equalish(X0,v))),
% 4.78/1.05 inference(resolution,[status(thm)],[f526,f71])).
% 4.78/1.05 fof(f573,plain,(
% 4.78/1.05 less_or_equal(add(d,b),v)),
% 4.78/1.05 inference(resolution,[status(thm)],[f550,f88])).
% 4.78/1.05 fof(f789,plain,(
% 4.78/1.05 ~defined(b)|less_or_equal(add(c,b),v)),
% 4.78/1.05 inference(resolution,[status(thm)],[f217,f573])).
% 4.78/1.05 fof(f792,plain,(
% 4.78/1.05 less_or_equal(add(c,b),v)),
% 4.78/1.05 inference(forward_subsumption_resolution,[status(thm)],[f789,f82])).
% 4.78/1.05 fof(f799,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(X0,v)|~equalish(add(c,b),X0))),
% 4.78/1.05 inference(resolution,[status(thm)],[f792,f79])).
% 4.78/1.05 fof(f1069,plain,(
% 4.78/1.05 ~defined(c)|less_or_equal(u,add(b,c))),
% 4.78/1.05 inference(resolution,[status(thm)],[f445,f87])).
% 4.78/1.05 fof(f1078,plain,(
% 4.78/1.05 less_or_equal(u,add(b,c))),
% 4.78/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1069,f83])).
% 4.78/1.05 fof(f1088,plain,(
% 4.78/1.05 ![X0]: (less_or_equal(u,X0)|~less_or_equal(add(b,c),X0))),
% 4.78/1.05 inference(resolution,[status(thm)],[f1078,f63])).
% 4.78/1.05 fof(f2403,plain,(
% 4.78/1.05 less_or_equal(add(b,c),v)|~defined(c)|~defined(b)),
% 4.78/1.05 inference(resolution,[status(thm)],[f799,f44])).
% 4.78/1.05 fof(f2409,plain,(
% 4.78/1.05 less_or_equal(add(b,c),v)|~defined(b)),
% 4.78/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2403,f83])).
% 4.78/1.05 fof(f3986,plain,(
% 4.78/1.05 less_or_equal(add(b,c),v)),
% 4.78/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2409,f82])).
% 4.78/1.05 fof(f3988,plain,(
% 4.78/1.05 less_or_equal(u,v)),
% 4.78/1.05 inference(resolution,[status(thm)],[f3986,f1088])).
% 4.78/1.05 fof(f3997,plain,(
% 4.78/1.05 $false),
% 4.78/1.05 inference(forward_subsumption_resolution,[status(thm)],[f3988,f91])).
% 4.78/1.05 % SZS output end CNFRefutation for theBenchmark.p
% 4.78/1.07 % Elapsed time: 0.691450 seconds
% 4.78/1.07 % CPU time: 5.245543 seconds
% 4.78/1.07 % Total memory used: 97.696 MB
% 4.78/1.07 % Net memory used: 91.411 MB
%------------------------------------------------------------------------------