%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM024-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:42:10 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 : NUM024-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:01:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % 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(f1,axiom,(
% 0.12/0.40 (![A]: (equalish(add(A,n0),A) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (![A,B]: (( ~ less(A,B)| equalish(add(successor(predecessor_of_1st_minus_2nd(B,A)),A),B) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,axiom,(
% 0.12/0.40 (![X,Y]: (( ~ equalish(X,Y)| equalish(Y,X) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,axiom,(
% 0.12/0.40 (![X,Y,Z]: (( ~ equalish(X,Y)| ~ equalish(Y,Z)| equalish(X,Z) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,axiom,(
% 0.12/0.40 (![A,B,C]: (( ~ equalish(add(A,B),add(C,B))| equalish(A,C) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,axiom,(
% 0.12/0.40 (![A,B]: (equalish(add(A,B),add(B,A)) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,hypothesis,(
% 0.12/0.40 less(a,a) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 (![A]: (~ equalish(successor(A),n0) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,plain,(
% 0.12/0.40 ![X0]: (equalish(add(X0,n0),X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f27,plain,(
% 0.12/0.40 ![X0,X1]: (~less(X0,X1)|equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f29,plain,(
% 0.12/0.40 ![X0,X1]: (~equalish(X0,X1)|equalish(X1,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f30,plain,(
% 0.12/0.40 ![X,Z]: ((![Y]: (~equalish(X,Y)|~equalish(Y,Z)))|equalish(X,Z))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.12/0.40 fof(f31,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X0,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f32,plain,(
% 0.12/0.40 ![A,C]: ((![B]: ~equalish(add(A,B),add(C,B)))|equalish(A,C))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~equalish(add(X0,X1),add(X2,X1))|equalish(X0,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.40 fof(f34,plain,(
% 0.12/0.40 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 less(a,a)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f36,plain,(
% 0.12/0.40 ![X0]: (~equalish(successor(X0),n0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f37,plain,(
% 0.12/0.40 ![X0]: (~equalish(n0,successor(X0)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f29,f36])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (equalish(X0,X1)|~equalish(add(X0,X2),X3)|~equalish(X3,add(X1,X2)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f33,f31])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 ![X0,X1]: (equalish(X0,X1)|~equalish(X0,add(X1,n0)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f90,f17])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 ![X0]: (equalish(add(n0,X0),X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f99,f34])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 ![X0,X1]: (equalish(n0,X0)|~equalish(X1,add(X0,X1)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f118,f90])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 ![X0,X1]: (equalish(n0,X0)|~equalish(add(X0,X1),X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f122,f29])).
% 0.12/0.40 fof(f227,plain,(
% 0.12/0.40 ![X0]: (equalish(n0,successor(predecessor_of_1st_minus_2nd(X0,X0)))|~less(X0,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f202,f27])).
% 0.12/0.40 fof(f231,plain,(
% 0.12/0.40 ![X0]: (~less(X0,X0))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f227,f37])).
% 0.12/0.40 fof(f246,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f35,f231])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.055888 seconds
% 0.12/0.42 % CPU time: 0.240382 seconds
% 0.12/0.42 % Total memory used: 58.060 MB
% 0.12/0.42 % Net memory used: 57.232 MB
%------------------------------------------------------------------------------