%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:49:54 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:26:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f7,axiom,(
% 0.12/0.42 (![X,Z,Y]: (( less_than(X,Z)| ~ less_than(X,Y)| ~ less_than(Y,Z) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f8,axiom,(
% 0.12/0.42 (![X,Y]: (( less_than(X,Y)| less_than(Y,X)| X = Y ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f9,axiom,(
% 0.12/0.42 (![X]: (~ less_than(X,X) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f17,negated_conjecture,(
% 0.12/0.42 less_than(a(j),a(k)) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f18,negated_conjecture,(
% 0.12/0.42 (![X]: (( less_than(X,i)| ~ less_than(X,j)| ~ less_than(a(X),a(k)) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f21,negated_conjecture,(
% 0.12/0.42 ~ less_than(q,i) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f22,negated_conjecture,(
% 0.12/0.42 ~ less_than(j,q) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f23,negated_conjecture,(
% 0.12/0.42 less_than(a(q),a(j)) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f30,plain,(
% 0.12/0.42 ![Z,Y]: ((![X]: (less_than(X,Z)|~less_than(X,Y)))|~less_than(Y,Z))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.42 fof(f31,plain,(
% 0.12/0.42 ![X0,X1,X2]: (less_than(X0,X1)|~less_than(X0,X2)|~less_than(X2,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.42 fof(f32,plain,(
% 0.12/0.42 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0)|X0=X1)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.42 fof(f33,plain,(
% 0.12/0.42 ![X0]: (~less_than(X0,X0))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.42 fof(f43,plain,(
% 0.12/0.42 less_than(a(j),a(k))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.42 fof(f44,plain,(
% 0.12/0.42 ![X0]: (less_than(X0,i)|~less_than(X0,j)|~less_than(a(X0),a(k)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.42 fof(f47,plain,(
% 0.12/0.42 ~less_than(q,i)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.42 fof(f48,plain,(
% 0.12/0.42 ~less_than(j,q)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.42 fof(f49,plain,(
% 0.12/0.42 less_than(a(q),a(j))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.42 fof(f56,plain,(
% 0.12/0.42 ![X0]: (less_than(X0,a(k))|~less_than(X0,a(j)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f31,f43])).
% 0.12/0.42 fof(f59,plain,(
% 0.12/0.42 less_than(q,j)|j=q),
% 0.12/0.42 inference(resolution,[status(thm)],[f32,f48])).
% 0.12/0.42 fof(f152,plain,(
% 0.12/0.42 less_than(a(q),a(k))),
% 0.12/0.42 inference(resolution,[status(thm)],[f56,f49])).
% 0.12/0.42 fof(f226,plain,(
% 0.12/0.42 less_than(q,i)|~less_than(q,j)),
% 0.12/0.42 inference(resolution,[status(thm)],[f152,f44])).
% 0.12/0.42 fof(f230,plain,(
% 0.12/0.42 j=q),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f59,f231])).
% 0.12/0.42 fof(f231,plain,(
% 0.12/0.42 ~less_than(q,j)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f226,f47])).
% 0.12/0.42 fof(f241,plain,(
% 0.12/0.42 less_than(a(q),a(q))),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f230,f49])).
% 0.12/0.42 fof(f270,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f241,f33])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.060100 seconds
% 0.12/0.42 % CPU time: 0.232356 seconds
% 0.12/0.43 % Total memory used: 103.040 MB
% 0.12/0.43 % Net memory used: 102.581 MB
%------------------------------------------------------------------------------