%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:09:22 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n004.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 00:05:40 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.17/5.50 % Refutation found
% 0.17/5.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.50 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.50 fof(f1,axiom,(
% 0.17/5.50 (![X]: (implies(truth,X) = X ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f2,axiom,(
% 0.17/5.50 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f3,axiom,(
% 0.17/5.50 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f5,axiom,(
% 0.17/5.50 (![X,Y]: (big_V(X,Y) = implies(implies(X,Y),Y) ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f7,axiom,(
% 0.17/5.50 (![X,Y]: (( ~ ordered(X,Y)| implies(X,Y) = truth ) ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f8,axiom,(
% 0.17/5.50 (![X,Y]: (( implies(X,Y) != truth| ordered(X,Y) ) ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f9,axiom,(
% 0.17/5.50 (![X,Y,Z]: (( ~ ordered(X,Y)| ordered(implies(X,Z),implies(Y,Z)) ) ))),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f17,negated_conjecture,(
% 0.17/5.50 big_V(implies(x,y),implies(y,x)) != truth ),
% 0.17/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.50 fof(f18,plain,(
% 0.17/5.50 ![X0]: (implies(truth,X0)=X0)),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/5.50 fof(f19,plain,(
% 0.17/5.50 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/5.50 fof(f20,plain,(
% 0.17/5.50 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/5.50 fof(f22,plain,(
% 0.17/5.50 ![X0,X1]: (big_V(X0,X1)=implies(implies(X0,X1),X1))),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.50 fof(f24,plain,(
% 0.17/5.50 ![X0,X1]: (~ordered(X0,X1)|implies(X0,X1)=truth)),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/5.50 fof(f25,plain,(
% 0.17/5.50 ![X0,X1]: (~implies(X0,X1)=truth|ordered(X0,X1))),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/5.50 fof(f26,plain,(
% 0.17/5.50 ![X,Y]: (~ordered(X,Y)|(![Z]: ordered(implies(X,Z),implies(Y,Z))))),
% 0.17/5.50 inference(miniscoping,[status(thm)],[f9])).
% 0.17/5.50 fof(f27,plain,(
% 0.17/5.50 ![X0,X1,X2]: (~ordered(X0,X1)|ordered(implies(X0,X2),implies(X1,X2)))),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/5.50 fof(f36,plain,(
% 0.17/5.50 ~big_V(implies(x,y),implies(y,x))=truth),
% 0.17/5.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/5.50 fof(f41,plain,(
% 0.17/5.50 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.17/5.50 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.17/5.50 fof(f49,plain,(
% 0.17/5.50 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.17/5.50 inference(forward_demodulation,[status(thm)],[f18,f41])).
% 0.17/5.50 fof(f69,plain,(
% 0.17/5.50 ![X0]: (big_V(truth,X0)=implies(X0,X0))),
% 0.17/5.50 inference(paramodulation,[status(thm)],[f18,f22])).
% 0.17/5.50 fof(f85,plain,(
% 0.17/5.50 ![X0,X1]: (implies(X0,big_V(X0,X1))=truth)),
% 0.17/5.50 inference(forward_demodulation,[status(thm)],[f22,f49])).
% 0.17/5.50 fof(f86,plain,(
% 0.17/5.50 ![X0,X1]: (ordered(X0,big_V(X0,X1)))),
% 0.17/5.50 inference(resolution,[status(thm)],[f85,f25])).
% 0.17/5.50 fof(f89,plain,(
% 0.17/5.50 ![X0]: (implies(truth,implies(X0,X0))=truth)),
% 0.17/5.50 inference(paramodulation,[status(thm)],[f69,f85])).
% 0.17/5.50 fof(f97,plain,(
% 0.17/5.50 ![X0]: (implies(X0,X0)=truth)),
% 0.17/5.50 inference(forward_demodulation,[status(thm)],[f18,f89])).
% 0.17/5.50 fof(f126,plain,(
% 0.17/5.50 ![X0,X1]: (big_V(X0,X1)=implies(implies(X1,X0),X0))),
% 0.17/5.50 inference(forward_demodulation,[status(thm)],[f22,f20])).
% 0.17/5.50 fof(f131,plain,(
% 0.17/5.50 ![X0]: (big_V(X0,truth)=implies(X0,X0))),
% 0.17/5.50 inference(paramodulation,[status(thm)],[f18,f126])).
% 0.17/5.50 fof(f141,plain,(
% 0.17/5.50 ![X0]: (big_V(X0,truth)=truth)),
% 0.17/5.50 inference(forward_demodulation,[status(thm)],[f97,f131])).
% 0.17/5.50 fof(f187,plain,(
% 0.17/5.50 ![X0]: (ordered(X0,truth))),
% 0.17/5.50 inference(paramodulation,[status(thm)],[f141,f86])).
% 0.17/5.50 fof(f227,plain,(
% 0.17/5.50 ![X0,X1]: (ordered(implies(X0,X1),implies(truth,X1)))),
% 0.17/5.50 inference(resolution,[status(thm)],[f27,f187])).
% 0.17/5.50 fof(f230,plain,(
% 0.17/5.50 ![X0,X1]: (ordered(implies(X0,X1),X1))),
% 0.17/5.50 inference(forward_demodulation,[status(thm)],[f18,f227])).
% 0.17/5.50 fof(f245,plain,(
% 0.17/5.50 ![X0]: (ordered(truth,X0))),
% 0.17/5.50 inference(paramodulation,[status(thm)],[f97,f230])).
% 0.17/5.50 fof(f248,plain,(
% 0.22/5.50 ![X0]: (implies(truth,X0)=truth)),
% 0.22/5.50 inference(resolution,[status(thm)],[f245,f24])).
% 0.22/5.50 fof(f277,plain,(
% 0.22/5.50 ![X0]: (X0=truth)),
% 0.22/5.50 inference(paramodulation,[status(thm)],[f18,f248])).
% 0.22/5.50 fof(f304,plain,(
% 0.22/5.50 $false),
% 0.22/5.50 inference(backward_subsumption_resolution,[status(thm)],[f36,f277])).
% 0.22/5.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.54 % Elapsed time: 0.072615 seconds
% 0.22/5.54 % CPU time: 0.241701 seconds
% 0.22/5.54 % Total memory used: 67.820 MB
% 0.22/5.54 % Net memory used: 67.464 MB
%------------------------------------------------------------------------------