%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD070-4 : 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 : n013.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 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD070-4 : 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 : n013.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 15:43:54 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.49 % Refutation found
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.49 fof(f3,axiom,(
% 0.15/0.49 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f5,axiom,(
% 0.15/0.49 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f22,axiom,(
% 0.15/0.49 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f24,axiom,(
% 0.15/0.49 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f27,hypothesis,(
% 0.15/0.49 defined(a) ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f30,negated_conjecture,(
% 0.15/0.49 less_or_equal(additive_identity,a) ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f31,negated_conjecture,(
% 0.15/0.49 less_or_equal(additive_identity,b) ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f32,negated_conjecture,(
% 0.15/0.49 sum(a,b,c) ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f33,negated_conjecture,(
% 0.15/0.49 ~ less_or_equal(additive_identity,c) ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f38,plain,(
% 0.15/0.49 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.49 fof(f40,plain,(
% 0.15/0.49 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.49 fof(f65,plain,(
% 0.15/0.49 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.15/0.49 inference(miniscoping,[status(thm)],[f22])).
% 0.15/0.49 fof(f66,plain,(
% 0.15/0.49 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/0.49 fof(f69,plain,(
% 0.15/0.49 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.15/0.49 inference(miniscoping,[status(thm)],[f24])).
% 0.15/0.49 fof(f70,plain,(
% 0.15/0.49 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.49 fof(f73,plain,(
% 0.15/0.49 defined(a)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.49 fof(f76,plain,(
% 0.15/0.49 less_or_equal(additive_identity,a)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.49 fof(f77,plain,(
% 0.15/0.49 less_or_equal(additive_identity,b)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.49 fof(f78,plain,(
% 0.15/0.49 sum(a,b,c)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.49 fof(f79,plain,(
% 0.15/0.49 ~less_or_equal(additive_identity,c)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.49 fof(f82,plain,(
% 0.15/0.49 sum(additive_identity,a,a)),
% 0.15/0.49 inference(resolution,[status(thm)],[f38,f73])).
% 0.15/0.49 fof(f84,plain,(
% 0.15/0.49 sum(b,a,c)),
% 0.15/0.49 inference(resolution,[status(thm)],[f40,f78])).
% 0.15/0.49 fof(f350,plain,(
% 0.15/0.49 ![X0]: (less_or_equal(additive_identity,X0)|~less_or_equal(a,X0))),
% 0.15/0.49 inference(resolution,[status(thm)],[f66,f76])).
% 0.15/0.49 fof(f407,plain,(
% 0.15/0.49 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(b,X2,X1))),
% 0.15/0.49 inference(resolution,[status(thm)],[f70,f77])).
% 0.15/0.49 fof(f422,plain,(
% 0.15/0.49 ![X0]: (less_or_equal(a,X0)|~sum(b,a,X0))),
% 0.15/0.49 inference(resolution,[status(thm)],[f82,f407])).
% 0.15/0.49 fof(f433,plain,(
% 0.15/0.49 less_or_equal(a,c)),
% 0.15/0.49 inference(resolution,[status(thm)],[f422,f84])).
% 0.15/0.49 fof(f435,plain,(
% 0.15/0.49 less_or_equal(additive_identity,c)),
% 0.15/0.49 inference(resolution,[status(thm)],[f433,f350])).
% 0.15/0.49 fof(f439,plain,(
% 0.15/0.49 $false),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f435,f79])).
% 0.15/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.51 % Elapsed time: 0.077060 seconds
% 0.15/0.51 % CPU time: 0.218680 seconds
% 0.15/0.51 % Total memory used: 18.815 MB
% 0.15/0.51 % Net memory used: 18.577 MB
%------------------------------------------------------------------------------