%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM843+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:43:55 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM843+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 03:13:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,conjecture,(
% 0.14/0.41 greater(vd390,vd391) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,negated_conjecture,(
% 0.14/0.41 ~(greater(vd390,vd391) )),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 ~ leq(vd390,vd391) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f22,axiom,(
% 0.14/0.41 (! [Vd249,Vd250] :( leq(Vd250,Vd249)<=> ( less(Vd250,Vd249)| Vd250 = Vd249 ) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f26,axiom,(
% 0.14/0.41 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 ~greater(vd390,vd391)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 ~leq(vd390,vd391)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 ![Vd249,Vd250]: ((~leq(Vd250,Vd249)|(less(Vd250,Vd249)|Vd250=Vd249))&(leq(Vd250,Vd249)|(~less(Vd250,Vd249)&~Vd250=Vd249)))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f22])).
% 0.14/0.41 fof(f95,plain,(
% 0.14/0.41 (![Vd249,Vd250]: (~leq(Vd250,Vd249)|(less(Vd250,Vd249)|Vd250=Vd249)))&(![Vd249,Vd250]: (leq(Vd250,Vd249)|(~less(Vd250,Vd249)&~Vd250=Vd249)))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f94])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 ![X0,X1]: (leq(X0,X1)|~X0=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.41 fof(f148,plain,(
% 0.14/0.41 ![X0]: (leq(X0,X0))),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f98])).
% 0.14/0.41 fof(f1225,plain,(
% 0.14/0.41 vd390=vd391|less(vd390,vd391)),
% 0.14/0.41 inference(resolution,[status(thm)],[f108,f48])).
% 0.14/0.41 fof(f1236,definition,(
% 0.14/0.41 sQ5_spl <=> (vd390=vd391)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f1237,plain,(
% 0.14/0.41 vd390=vd391|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1236])).
% 0.14/0.41 fof(f1239,definition,(
% 0.14/0.41 sQ6_spl <=> (less(vd390,vd391))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f1240,plain,(
% 0.14/0.41 less(vd390,vd391)|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1239])).
% 0.14/0.41 fof(f1242,plain,(
% 0.14/0.41 sQ5_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1225,f1236,f1239])).
% 0.14/0.41 fof(f1262,plain,(
% 0.14/0.41 ~leq(vd391,vd391)|~sQ5_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f1237,f49])).
% 0.14/0.41 fof(f1264,plain,(
% 0.14/0.41 $false|~sQ5_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1262,f148])).
% 0.14/0.41 fof(f1265,plain,(
% 0.14/0.41 ~sQ5_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f1264])).
% 0.14/0.41 fof(f1270,plain,(
% 0.14/0.41 leq(vd390,vd391)|~sQ6_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f1240,f97])).
% 0.14/0.41 fof(f1386,plain,(
% 0.14/0.41 $false|~sQ6_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1270,f49])).
% 0.14/0.41 fof(f1387,plain,(
% 0.14/0.41 ~sQ6_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f1386])).
% 0.14/0.41 fof(f1388,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f1242,f1265,f1387])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.066699 seconds
% 0.14/0.43 % CPU time: 0.241633 seconds
% 0.14/0.43 % Total memory used: 105.026 MB
% 0.14/0.43 % Net memory used: 104.745 MB
%------------------------------------------------------------------------------