%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV006-1 : 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 : 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 02:49:55 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:26:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f6,axiom,(
% 0.12/0.40 (![X]: (less_than(X,successor(X)) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,axiom,(
% 0.12/0.40 (![X,Z,Y]: (( less_than(X,Z)| ~ less_than(X,Y)| ~ less_than(Y,Z) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (![X]: (~ less_than(X,X) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 less_than(i,n) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,negated_conjecture,(
% 0.12/0.40 less_than(a(i),a(m)) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f18,negated_conjecture,(
% 0.12/0.40 (![X]: (( less_than(X,i)| ~ less_than(X,successor(n))| ~ less_than(a(X),a(m)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![X0]: (less_than(X0,successor(X0)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.40 fof(f27,plain,(
% 0.12/0.40 ![Z,Y]: ((![X]: (less_than(X,Z)|~less_than(X,Y)))|~less_than(Y,Z))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.40 fof(f28,plain,(
% 0.12/0.40 ![X0,X1,X2]: (less_than(X0,X1)|~less_than(X0,X2)|~less_than(X2,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f30,plain,(
% 0.12/0.40 ![X0]: (~less_than(X0,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f38,plain,(
% 0.12/0.40 less_than(i,n)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f40,plain,(
% 0.12/0.40 less_than(a(i),a(m))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.40 fof(f41,plain,(
% 0.12/0.40 ![X0]: (less_than(X0,i)|~less_than(X0,successor(n))|~less_than(a(X0),a(m)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f70,plain,(
% 0.12/0.40 ![X0,X1]: (less_than(X0,successor(X1))|~less_than(X0,X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f28,f26])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 less_than(i,i)|~less_than(i,successor(n))),
% 0.12/0.40 inference(resolution,[status(thm)],[f41,f40])).
% 0.12/0.40 fof(f105,plain,(
% 0.12/0.40 ~less_than(i,successor(n))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f100,f30])).
% 0.12/0.40 fof(f155,plain,(
% 0.12/0.40 ~less_than(i,n)),
% 0.12/0.40 inference(resolution,[status(thm)],[f70,f105])).
% 0.12/0.40 fof(f160,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f155,f38])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.059195 seconds
% 0.12/0.42 % CPU time: 0.167852 seconds
% 0.12/0.42 % Total memory used: 101.804 MB
% 0.12/0.42 % Net memory used: 101.424 MB
%------------------------------------------------------------------------------