%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 03:43:41 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:34:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (![N]: (f(N,one) = s(one) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (![X]: (f(one,s(X)) = s(s(f(one,X))) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (![N,X]: (f(s(N),s(X)) = f(N,f(s(N),X)) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,axiom,(
% 0.11/0.40 d(one) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,axiom,(
% 0.11/0.40 (![X]: (( ~ d(X)| d(s(X)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 ~ d(f(s(s(one)),s(s(one)))) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,plain,(
% 0.11/0.40 ![X0]: (f(X0,one)=s(one))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f8,plain,(
% 0.11/0.40 ![X0]: (f(one,s(X0))=s(s(f(one,X0))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f9,plain,(
% 0.11/0.40 ![X0,X1]: (f(s(X0),s(X1))=f(X0,f(s(X0),X1)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f10,plain,(
% 0.11/0.40 d(one)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f11,plain,(
% 0.11/0.40 ![X0]: (~d(X0)|d(s(X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f12,plain,(
% 0.11/0.40 ~d(f(s(s(one)),s(s(one))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f13,plain,(
% 0.11/0.40 d(s(one))),
% 0.11/0.40 inference(resolution,[status(thm)],[f11,f10])).
% 0.11/0.40 fof(f14,plain,(
% 0.11/0.40 d(s(s(one)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f13,f11])).
% 0.11/0.40 fof(f15,plain,(
% 0.11/0.40 d(s(s(s(one))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f14,f11])).
% 0.11/0.40 fof(f16,plain,(
% 0.11/0.40 f(one,s(one))=s(s(s(one)))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f7,f8])).
% 0.11/0.40 fof(f17,plain,(
% 0.11/0.40 d(s(s(s(s(one)))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f15,f11])).
% 0.11/0.40 fof(f18,plain,(
% 0.11/0.40 d(s(s(s(s(s(one))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f17,f11])).
% 0.11/0.40 fof(f20,plain,(
% 0.11/0.40 d(s(s(f(one,s(one)))))),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f16,f18])).
% 0.11/0.40 fof(f23,plain,(
% 0.11/0.40 d(f(one,s(s(one))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f20])).
% 0.11/0.40 fof(f25,plain,(
% 0.11/0.40 d(s(f(one,s(s(one)))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f23,f11])).
% 0.11/0.40 fof(f28,plain,(
% 0.11/0.40 d(s(s(f(one,s(s(one))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f25,f11])).
% 0.11/0.40 fof(f29,plain,(
% 0.11/0.40 d(f(one,s(s(s(one)))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f28])).
% 0.11/0.40 fof(f30,plain,(
% 0.11/0.40 d(f(one,f(one,s(one))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f16,f29])).
% 0.11/0.40 fof(f31,plain,(
% 0.11/0.40 d(s(f(one,f(one,s(one)))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f30,f11])).
% 0.11/0.40 fof(f34,plain,(
% 0.11/0.40 d(s(s(f(one,f(one,s(one))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f31,f11])).
% 0.11/0.40 fof(f35,plain,(
% 0.11/0.40 d(f(one,s(f(one,s(one)))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f34])).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 ![X0]: (f(s(X0),s(one))=f(X0,s(one)))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f7,f9])).
% 0.11/0.40 fof(f64,plain,(
% 0.11/0.40 d(s(f(one,s(f(one,s(one))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f35,f11])).
% 0.11/0.40 fof(f68,plain,(
% 0.11/0.40 ![X0]: (f(s(X0),s(s(one)))=f(X0,f(X0,s(one))))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f37,f9])).
% 0.11/0.40 fof(f73,plain,(
% 0.11/0.40 d(s(s(f(one,s(f(one,s(one)))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f64,f11])).
% 0.11/0.40 fof(f74,plain,(
% 0.11/0.40 d(f(one,s(s(f(one,s(one))))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f73])).
% 0.11/0.40 fof(f75,plain,(
% 0.11/0.40 d(f(one,f(one,s(s(one)))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f74])).
% 0.11/0.40 fof(f76,plain,(
% 0.11/0.40 d(s(f(one,f(one,s(s(one))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f75,f11])).
% 0.11/0.40 fof(f77,plain,(
% 0.11/0.40 d(s(s(f(one,f(one,s(s(one)))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f76,f11])).
% 0.11/0.40 fof(f78,plain,(
% 0.11/0.40 d(f(one,s(f(one,s(s(one))))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f77])).
% 0.11/0.40 fof(f79,plain,(
% 0.11/0.40 d(s(f(one,s(f(one,s(s(one)))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f78,f11])).
% 0.11/0.40 fof(f80,plain,(
% 0.11/0.40 d(s(s(f(one,s(f(one,s(s(one))))))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f79,f11])).
% 0.11/0.40 fof(f81,plain,(
% 0.11/0.40 d(f(one,s(s(f(one,s(s(one)))))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f80])).
% 0.11/0.40 fof(f82,plain,(
% 0.11/0.40 d(f(one,f(one,s(s(s(one))))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f8,f81])).
% 0.11/0.40 fof(f83,plain,(
% 0.11/0.40 d(f(one,f(one,f(one,s(one)))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f16,f82])).
% 0.11/0.40 fof(f90,plain,(
% 0.11/0.40 ![X0]: (f(s(s(X0)),s(s(one)))=f(s(X0),f(X0,s(one))))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f37,f68])).
% 0.11/0.40 fof(f91,plain,(
% 0.11/0.40 ![X0]: (f(s(X0),s(s(s(one))))=f(X0,f(X0,f(X0,s(one)))))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f68,f9])).
% 0.11/0.40 fof(f94,plain,(
% 0.11/0.40 ![X0]: (f(s(X0),f(one,s(one)))=f(X0,f(X0,f(X0,s(one)))))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f16,f91])).
% 0.11/0.40 fof(f217,plain,(
% 0.11/0.40 ~d(f(s(one),f(one,s(one))))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f90,f12])).
% 0.11/0.40 fof(f239,plain,(
% 0.11/0.40 d(f(s(one),f(one,s(one))))),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f94,f83])).
% 0.11/0.40 fof(f250,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f239,f217])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.052913 seconds
% 0.15/0.44 % CPU time: 0.158121 seconds
% 0.15/0.44 % Total memory used: 66.900 MB
% 0.15/0.44 % Net memory used: 66.371 MB
%------------------------------------------------------------------------------