%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD070-1 : 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 : n002.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 0.15s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD070-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n002.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 15:47:17 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.79 % Refutation found
% 0.15/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.79 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.79 fof(f2,axiom,(
% 0.15/0.79 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f17,axiom,(
% 0.15/0.79 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f19,axiom,(
% 0.15/0.79 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f26,axiom,(
% 0.15/0.79 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f29,hypothesis,(
% 0.15/0.79 defined(b) ),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f30,negated_conjecture,(
% 0.15/0.79 less_or_equal(additive_identity,a) ),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f31,negated_conjecture,(
% 0.15/0.79 less_or_equal(additive_identity,b) ),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f32,negated_conjecture,(
% 0.15/0.79 ~ less_or_equal(additive_identity,add(a,b)) ),
% 0.15/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.79 fof(f35,plain,(
% 0.15/0.79 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.79 fof(f56,plain,(
% 0.15/0.79 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f17])).
% 0.15/0.79 fof(f57,plain,(
% 0.15/0.79 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f56])).
% 0.15/0.79 fof(f60,plain,(
% 0.15/0.79 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f19])).
% 0.15/0.79 fof(f61,plain,(
% 0.15/0.79 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f60])).
% 0.15/0.79 fof(f72,plain,(
% 0.15/0.79 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f26])).
% 0.15/0.79 fof(f73,plain,(
% 0.15/0.79 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f72])).
% 0.15/0.79 fof(f76,plain,(
% 0.15/0.79 defined(b)),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.79 fof(f77,plain,(
% 0.15/0.79 less_or_equal(additive_identity,a)),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.79 fof(f78,plain,(
% 0.15/0.79 less_or_equal(additive_identity,b)),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.79 fof(f79,plain,(
% 0.15/0.79 ~less_or_equal(additive_identity,add(a,b))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.79 fof(f84,plain,(
% 0.15/0.79 ![X0]: (~less_or_equal(additive_identity,X0)|~less_or_equal(X0,add(a,b)))),
% 0.15/0.79 inference(resolution,[status(thm)],[f57,f79])).
% 0.15/0.79 fof(f115,plain,(
% 0.15/0.79 ![X0,X1]: (~less_or_equal(additive_identity,X0)|~less_or_equal(X1,add(a,b))|~equalish(X1,X0))),
% 0.15/0.79 inference(resolution,[status(thm)],[f84,f73])).
% 0.15/0.79 fof(f196,plain,(
% 0.15/0.79 ![X0,X1]: (~less_or_equal(additive_identity,X0)|~equalish(add(X1,b),X0)|~defined(b)|~less_or_equal(X1,a))),
% 0.15/0.79 inference(resolution,[status(thm)],[f115,f61])).
% 0.15/0.79 fof(f199,plain,(
% 0.15/0.79 ![X0,X1]: (~less_or_equal(additive_identity,X0)|~equalish(add(X1,b),X0)|~less_or_equal(X1,a))),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f196,f76])).
% 0.15/0.79 fof(f433,plain,(
% 0.15/0.79 ![X0]: (~less_or_equal(additive_identity,X0)|~equalish(add(additive_identity,b),X0))),
% 0.15/0.79 inference(resolution,[status(thm)],[f199,f77])).
% 0.15/0.79 fof(f856,plain,(
% 0.15/0.79 ~less_or_equal(additive_identity,b)|~defined(b)),
% 0.15/0.79 inference(resolution,[status(thm)],[f433,f35])).
% 0.15/0.79 fof(f863,plain,(
% 0.15/0.79 ~defined(b)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f856,f78])).
% 0.15/0.79 fof(f866,plain,(
% 0.15/0.79 $false),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f863,f76])).
% 0.15/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 1.12/0.81 % Elapsed time: 0.367869 seconds
% 1.12/0.81 % CPU time: 2.463607 seconds
% 1.12/0.81 % Total memory used: 52.939 MB
% 1.12/0.81 % Net memory used: 51.162 MB
%------------------------------------------------------------------------------