%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD005-3 : 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 : n008.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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD005-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 15:37:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.54 % Refutation found
% 0.10/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.54 fof(f1,axiom,(
% 0.10/0.54 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f3,axiom,(
% 0.10/0.54 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f4,axiom,(
% 0.10/0.54 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f5,axiom,(
% 0.10/0.54 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f15,axiom,(
% 0.10/0.54 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f19,axiom,(
% 0.10/0.54 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f27,hypothesis,(
% 0.10/0.54 defined(a) ),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f28,hypothesis,(
% 0.10/0.54 defined(b) ),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f29,negated_conjecture,(
% 0.10/0.54 (![X]: (~ sum(a,X,b) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f30,plain,(
% 0.10/0.54 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.10/0.54 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.54 fof(f31,plain,(
% 0.10/0.54 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.54 fof(f34,plain,(
% 0.10/0.54 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.54 fof(f35,plain,(
% 0.10/0.54 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.54 fof(f36,plain,(
% 0.10/0.54 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.54 fof(f51,plain,(
% 0.10/0.54 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.54 fof(f56,plain,(
% 0.10/0.54 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 0.10/0.54 inference(miniscoping,[status(thm)],[f19])).
% 0.10/0.54 fof(f57,plain,(
% 0.10/0.54 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.54 fof(f69,plain,(
% 0.10/0.54 defined(a)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.54 fof(f70,plain,(
% 0.10/0.54 defined(b)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.54 fof(f71,plain,(
% 0.10/0.54 ![X0]: (~sum(a,X0,b))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.54 fof(f74,plain,(
% 0.10/0.54 ![X0]: (sum(X0,b,add(X0,b))|~defined(X0))),
% 0.10/0.54 inference(resolution,[status(thm)],[f57,f70])).
% 0.10/0.54 fof(f150,plain,(
% 0.10/0.54 sum(additive_identity,b,b)),
% 0.10/0.54 inference(resolution,[status(thm)],[f34,f70])).
% 0.10/0.54 fof(f153,plain,(
% 0.10/0.54 sum(additive_inverse(a),a,additive_identity)),
% 0.10/0.54 inference(resolution,[status(thm)],[f35,f69])).
% 0.10/0.54 fof(f163,plain,(
% 0.10/0.54 ![X0,X1,X2]: (sum(X0,X1,b)|~sum(X0,X2,additive_identity)|~sum(X2,b,X1))),
% 0.10/0.54 inference(resolution,[status(thm)],[f150,f31])).
% 0.10/0.54 fof(f219,plain,(
% 0.10/0.54 sum(a,additive_inverse(a),additive_identity)),
% 0.10/0.54 inference(resolution,[status(thm)],[f153,f36])).
% 0.10/0.54 fof(f446,plain,(
% 0.10/0.54 ![X0]: (sum(a,X0,b)|~sum(additive_inverse(a),b,X0))),
% 0.10/0.54 inference(resolution,[status(thm)],[f163,f219])).
% 0.10/0.54 fof(f454,plain,(
% 0.10/0.54 ![X0]: (~sum(additive_inverse(a),b,X0))),
% 0.10/0.54 inference(forward_subsumption_resolution,[status(thm)],[f446,f71])).
% 0.10/0.54 fof(f596,plain,(
% 0.10/0.54 defined(additive_inverse(a))),
% 0.10/0.54 inference(resolution,[status(thm)],[f51,f69])).
% 0.10/0.54 fof(f620,plain,(
% 0.10/0.54 sum(additive_inverse(a),b,add(additive_inverse(a),b))),
% 0.10/0.54 inference(resolution,[status(thm)],[f596,f74])).
% 0.10/0.54 fof(f629,plain,(
% 0.10/0.54 $false),
% 0.10/0.54 inference(forward_subsumption_resolution,[status(thm)],[f620,f454])).
% 0.10/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.89/0.57 % Elapsed time: 0.177964 seconds
% 0.89/0.57 % CPU time: 1.133818 seconds
% 0.89/0.57 % Total memory used: 36.246 MB
% 0.89/0.57 % Net memory used: 35.310 MB
%------------------------------------------------------------------------------