%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD008-3 : 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 : 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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 81.51s 10.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD008-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:39:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 81.51/10.78 % Refutation found
% 81.51/10.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.51/10.78 % SZS output start CNFRefutation for theBenchmark
% 81.51/10.78 fof(f1,axiom,(
% 81.51/10.78 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f2,axiom,(
% 81.51/10.78 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f3,axiom,(
% 81.51/10.78 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f4,axiom,(
% 81.51/10.78 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f5,axiom,(
% 81.51/10.78 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f13,axiom,(
% 81.51/10.78 (![X,Y]: (( defined(add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f15,axiom,(
% 81.51/10.78 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f19,axiom,(
% 81.51/10.78 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f21,axiom,(
% 81.51/10.78 (![X,Y]: (( sum(additive_identity,X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f23,axiom,(
% 81.51/10.78 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f27,hypothesis,(
% 81.51/10.78 defined(a) ),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f28,hypothesis,(
% 81.51/10.78 defined(b) ),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f29,negated_conjecture,(
% 81.51/10.78 ~ sum(additive_identity,additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b))) ),
% 81.51/10.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.51/10.78 fof(f30,plain,(
% 81.51/10.78 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 81.51/10.78 inference(miniscoping,[status(thm)],[f1])).
% 81.51/10.78 fof(f31,plain,(
% 81.51/10.78 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f30])).
% 81.51/10.78 fof(f32,plain,(
% 81.51/10.78 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 81.51/10.78 inference(miniscoping,[status(thm)],[f2])).
% 81.51/10.78 fof(f33,plain,(
% 81.51/10.78 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f32])).
% 81.51/10.78 fof(f34,plain,(
% 81.51/10.78 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f3])).
% 81.51/10.78 fof(f35,plain,(
% 81.51/10.78 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f4])).
% 81.51/10.78 fof(f36,plain,(
% 81.51/10.78 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f5])).
% 81.51/10.78 fof(f48,plain,(
% 81.51/10.78 ![Y]: ((![X]: (defined(add(X,Y))|~defined(X)))|~defined(Y))),
% 81.51/10.78 inference(miniscoping,[status(thm)],[f13])).
% 81.51/10.78 fof(f49,plain,(
% 81.51/10.78 ![X0,X1]: (defined(add(X0,X1))|~defined(X0)|~defined(X1))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f48])).
% 81.51/10.78 fof(f51,plain,(
% 81.51/10.78 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f15])).
% 81.51/10.78 fof(f56,plain,(
% 81.51/10.78 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 81.51/10.78 inference(miniscoping,[status(thm)],[f19])).
% 81.51/10.78 fof(f57,plain,(
% 81.51/10.78 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f56])).
% 81.51/10.78 fof(f60,plain,(
% 81.51/10.78 ![X0,X1]: (sum(additive_identity,X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f21])).
% 81.51/10.78 fof(f63,plain,(
% 81.51/10.78 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 81.51/10.78 inference(miniscoping,[status(thm)],[f23])).
% 81.51/10.78 fof(f64,plain,(
% 81.51/10.78 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f63])).
% 81.51/10.78 fof(f69,plain,(
% 81.51/10.78 defined(a)),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f27])).
% 81.51/10.78 fof(f70,plain,(
% 81.51/10.78 defined(b)),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f28])).
% 81.51/10.78 fof(f71,plain,(
% 81.51/10.78 ~sum(additive_identity,additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b)))),
% 81.51/10.78 inference(cnf_transformation,[status(thm)],[f29])).
% 81.51/10.78 fof(f74,plain,(
% 81.51/10.78 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,X0)|~sum(X1,X3,additive_identity)|~sum(X3,X0,X2))),
% 81.51/10.78 inference(resolution,[status(thm)],[f34,f31])).
% 81.51/10.78 fof(f77,plain,(
% 81.51/10.78 ![X0]: (sum(X0,additive_identity,X0)|~defined(X0))),
% 81.51/10.78 inference(resolution,[status(thm)],[f36,f34])).
% 81.51/10.78 fof(f83,plain,(
% 81.51/10.78 ![X0]: (~defined(X0)|sum(X0,additive_inverse(X0),additive_identity))),
% 81.51/10.78 inference(resolution,[status(thm)],[f35,f36])).
% 81.51/10.78 fof(f93,plain,(
% 81.51/10.78 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X1,X0,add(X0,X1)))),
% 81.51/10.78 inference(resolution,[status(thm)],[f57,f36])).
% 81.51/10.78 fof(f98,plain,(
% 81.51/10.78 ![X0,X1,X2]: (~sum(X0,X1,additive_identity)|~sum(X1,additive_inverse(add(a,b)),X2)|~sum(X0,X2,add(additive_inverse(a),additive_inverse(b))))),
% 81.51/10.78 inference(resolution,[status(thm)],[f33,f71])).
% 81.51/10.78 fof(f116,plain,(
% 81.51/10.78 ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 81.51/10.78 inference(resolution,[status(thm)],[f64,f69])).
% 81.51/10.78 fof(f139,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(a),X0,additive_identity)|~sum(X0,additive_inverse(add(a,b)),additive_inverse(b))|~defined(additive_inverse(a))|~defined(additive_inverse(b)))),
% 81.51/10.78 inference(resolution,[status(thm)],[f98,f57])).
% 81.51/10.78 fof(f142,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(a),X0,additive_identity)|~sum(X0,additive_inverse(add(a,b)),additive_inverse(b))|~defined(additive_inverse(a))|~defined(b))),
% 81.51/10.78 inference(resolution,[status(thm)],[f139,f51])).
% 81.51/10.78 fof(f143,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(a),X0,additive_identity)|~sum(X0,additive_inverse(add(a,b)),additive_inverse(b))|~defined(additive_inverse(a)))),
% 81.51/10.78 inference(forward_subsumption_resolution,[status(thm)],[f142,f70])).
% 81.51/10.78 fof(f144,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(a),X0,additive_identity)|~sum(X0,additive_inverse(add(a,b)),additive_inverse(b))|~defined(a))),
% 81.51/10.78 inference(resolution,[status(thm)],[f143,f51])).
% 81.51/10.78 fof(f145,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(a),X0,additive_identity)|~sum(X0,additive_inverse(add(a,b)),additive_inverse(b)))),
% 81.51/10.78 inference(forward_subsumption_resolution,[status(thm)],[f144,f69])).
% 81.51/10.78 fof(f146,plain,(
% 81.51/10.78 ![X0,X1,X2,X3]: (~sum(additive_inverse(a),X0,additive_identity)|~sum(X1,X2,X0)|~sum(X2,additive_inverse(add(a,b)),X3)|~sum(X1,X3,additive_inverse(b)))),
% 81.51/10.78 inference(resolution,[status(thm)],[f145,f33])).
% 81.51/10.78 fof(f197,plain,(
% 81.51/10.78 ![X0,X1,X2]: (sum(X0,X1,a)|~sum(X0,X2,additive_identity)|~sum(X2,a,X1))),
% 81.51/10.78 inference(resolution,[status(thm)],[f74,f69])).
% 81.51/10.78 fof(f210,plain,(
% 81.51/10.78 less_or_equal(a,a)|less_or_equal(a,a)),
% 81.51/10.78 inference(resolution,[status(thm)],[f116,f69])).
% 81.51/10.78 fof(f212,plain,(
% 81.51/10.78 less_or_equal(a,a)),
% 81.51/10.78 inference(duplicate_literals_removal,[status(thm)],[f210])).
% 81.51/10.78 fof(f213,plain,(
% 81.51/10.78 sum(additive_identity,a,a)|~less_or_equal(a,a)),
% 81.51/10.78 inference(resolution,[status(thm)],[f212,f60])).
% 81.51/10.78 fof(f218,plain,(
% 81.51/10.78 sum(additive_identity,a,a)),
% 81.51/10.78 inference(forward_subsumption_resolution,[status(thm)],[f213,f212])).
% 81.51/10.78 fof(f274,plain,(
% 81.51/10.78 ![X0,X1,X2]: (~sum(X0,X1,a)|~sum(X1,additive_inverse(add(a,b)),X2)|~sum(X0,X2,additive_inverse(b))|~defined(a))),
% 81.51/10.78 inference(resolution,[status(thm)],[f146,f35])).
% 81.51/10.78 fof(f279,plain,(
% 81.51/10.78 ![X0,X1,X2]: (~sum(X0,X1,a)|~sum(X1,additive_inverse(add(a,b)),X2)|~sum(X0,X2,additive_inverse(b)))),
% 81.51/10.78 inference(forward_subsumption_resolution,[status(thm)],[f274,f69])).
% 81.51/10.78 fof(f281,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(b),X0,a)|~sum(X0,additive_inverse(add(a,b)),additive_identity)|~defined(additive_inverse(b)))),
% 81.51/10.78 inference(resolution,[status(thm)],[f279,f77])).
% 81.51/10.78 fof(f384,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(b),X0,a)|~sum(X0,additive_inverse(add(a,b)),additive_identity)|~defined(b))),
% 81.51/10.78 inference(resolution,[status(thm)],[f281,f51])).
% 81.51/10.78 fof(f385,plain,(
% 81.51/10.78 ![X0]: (~sum(additive_inverse(b),X0,a)|~sum(X0,additive_inverse(add(a,b)),additive_identity))),
% 81.51/10.78 inference(forward_subsumption_resolution,[status(thm)],[f384,f70])).
% 81.51/10.81 fof(f389,plain,(
% 81.51/10.81 ![X0,X1,X2,X3]: (~sum(X0,additive_inverse(add(a,b)),additive_identity)|~sum(X1,X2,additive_inverse(b))|~sum(X2,X0,X3)|~sum(X1,X3,a))),
% 81.51/10.81 inference(resolution,[status(thm)],[f385,f33])).
% 81.51/10.81 fof(f684,plain,(
% 81.51/10.81 ![X0,X1,X2]: (~sum(X0,X1,additive_inverse(b))|~sum(X1,add(a,b),X2)|~sum(X0,X2,a)|~defined(add(a,b)))),
% 81.51/10.81 inference(resolution,[status(thm)],[f389,f83])).
% 81.51/10.81 fof(f1153,plain,(
% 81.51/10.81 ![X0,X1,X2]: (~sum(X0,X1,additive_inverse(b))|~sum(X1,add(a,b),X2)|~sum(X0,X2,a)|~defined(a)|~defined(b))),
% 81.51/10.81 inference(resolution,[status(thm)],[f684,f49])).
% 81.51/10.81 fof(f1154,plain,(
% 81.51/10.81 ![X0,X1,X2]: (~sum(X0,X1,additive_inverse(b))|~sum(X1,add(a,b),X2)|~sum(X0,X2,a)|~defined(b))),
% 81.51/10.81 inference(forward_subsumption_resolution,[status(thm)],[f1153,f69])).
% 81.51/10.81 fof(f1378,plain,(
% 81.51/10.81 ![X0,X1,X2]: (~sum(X0,X1,additive_inverse(b))|~sum(X1,add(a,b),X2)|~sum(X0,X2,a))),
% 81.51/10.81 inference(forward_subsumption_resolution,[status(thm)],[f1154,f70])).
% 81.51/10.81 fof(f1379,plain,(
% 81.51/10.81 ![X0]: (~sum(additive_inverse(b),add(a,b),X0)|~sum(additive_identity,X0,a)|~defined(additive_inverse(b)))),
% 81.51/10.81 inference(resolution,[status(thm)],[f1378,f34])).
% 81.51/10.81 fof(f1388,plain,(
% 81.51/10.81 ![X0]: (~sum(additive_inverse(b),add(a,b),X0)|~sum(additive_identity,X0,a)|~defined(b))),
% 81.51/10.81 inference(resolution,[status(thm)],[f1379,f51])).
% 81.51/10.81 fof(f1389,plain,(
% 81.51/10.81 ![X0]: (~sum(additive_inverse(b),add(a,b),X0)|~sum(additive_identity,X0,a))),
% 81.51/10.81 inference(forward_subsumption_resolution,[status(thm)],[f1388,f70])).
% 81.51/10.81 fof(f1390,plain,(
% 81.51/10.81 ~sum(additive_inverse(b),add(a,b),a)),
% 81.51/10.81 inference(resolution,[status(thm)],[f1389,f218])).
% 81.51/10.81 fof(f3033,plain,(
% 81.51/10.81 ![X0,X1]: (sum(additive_inverse(X0),X1,a)|~sum(X0,a,X1)|~defined(X0))),
% 81.51/10.81 inference(resolution,[status(thm)],[f197,f35])).
% 81.51/10.81 fof(f4684,plain,(
% 81.51/10.81 ![X0]: (sum(additive_inverse(b),X0,a)|~sum(b,a,X0))),
% 81.51/10.81 inference(resolution,[status(thm)],[f3033,f70])).
% 81.51/10.81 fof(f4707,plain,(
% 81.51/10.81 sum(additive_inverse(b),add(a,b),a)|~defined(a)|~defined(b)),
% 81.51/10.81 inference(resolution,[status(thm)],[f4684,f93])).
% 81.51/10.81 fof(f4716,plain,(
% 81.51/10.81 ~defined(a)|~defined(b)),
% 81.51/10.81 inference(forward_subsumption_resolution,[status(thm)],[f4707,f1390])).
% 81.51/10.81 fof(f4720,plain,(
% 81.51/10.81 ~defined(b)),
% 81.51/10.81 inference(forward_subsumption_resolution,[status(thm)],[f4716,f69])).
% 81.51/10.81 fof(f4721,plain,(
% 81.51/10.81 $false),
% 81.51/10.81 inference(backward_subsumption_resolution,[status(thm)],[f70,f4720])).
% 81.51/10.81 % SZS output end CNFRefutation for theBenchmark.p
% 5.46/10.95 % Elapsed time: 10.562861 seconds
% 5.46/10.95 % CPU time: 82.907893 seconds
% 5.46/10.95 % Total memory used: 462.017 MB
% 5.46/10.95 % Net memory used: 437.273 MB
%------------------------------------------------------------------------------