%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:50:20 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 08:35:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f1,axiom,(
% 0.08/0.39 (![T_a,V_n,V_m]: (( ~ class_Orderings_Oorder(T_a)| ~ c_lessequals(V_n,V_m,T_a)| c_SetInterval_OatLeastLessThan(V_m,V_n,T_a) = c_emptyset ) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f2,axiom,(
% 0.08/0.39 (![V_m]: (c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f3,axiom,(
% 0.08/0.39 (![V_a,V_A,T_a]: (c_emptyset != c_insert(V_a,V_A,T_a) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f4,negated_conjecture,(
% 0.08/0.39 (![V_U]: (c_lessequals(V_U,v_x(V_U),tc_nat) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f5,negated_conjecture,(
% 0.08/0.39 (![V_U]: (v_x(V_U) = v_nat ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f6,axiom,(
% 0.08/0.39 class_Orderings_Oorder(tc_nat) ),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f7,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|c_SetInterval_OatLeastLessThan(X2,X1,X0)=c_emptyset)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.39 fof(f8,plain,(
% 0.08/0.39 ![X0]: (c_SetInterval_OatLeastLessThan(X0,c_Suc(X0),tc_nat)=c_insert(X0,c_emptyset,tc_nat))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.39 fof(f9,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~c_emptyset=c_insert(X0,X1,X2))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.39 fof(f10,plain,(
% 0.08/0.39 ![X0]: (c_lessequals(X0,v_x(X0),tc_nat))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.39 fof(f11,plain,(
% 0.08/0.39 ![X0]: (v_x(X0)=v_nat)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.39 fof(f12,plain,(
% 0.08/0.39 class_Orderings_Oorder(tc_nat)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.39 fof(f13,plain,(
% 0.08/0.39 ![X0]: (c_lessequals(X0,v_nat,tc_nat))),
% 0.08/0.39 inference(backward_demodulation,[status(thm)],[f11,f10])).
% 0.08/0.39 fof(f14,plain,(
% 0.08/0.39 ![X0]: (~class_Orderings_Oorder(tc_nat)|c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat)=c_emptyset)),
% 0.08/0.39 inference(resolution,[status(thm)],[f13,f7])).
% 0.08/0.39 fof(f15,definition,(
% 0.08/0.39 sQ0_spl <=> (class_Orderings_Oorder(tc_nat))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f17,plain,(
% 0.08/0.39 ~class_Orderings_Oorder(tc_nat)|sQ0_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f15])).
% 0.08/0.39 fof(f18,definition,(
% 0.08/0.39 ![X0]: (sQ1_spl <=> (c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat)=c_emptyset))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f19,plain,(
% 0.08/0.39 ![X0]: (c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat)=c_emptyset|~sQ1_spl)),
% 0.08/0.39 inference(component_clause,[status(thm)],[f18])).
% 0.08/0.39 fof(f21,plain,(
% 0.08/0.39 ~sQ0_spl|sQ1_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f14,f15,f18])).
% 0.08/0.39 fof(f22,plain,(
% 0.08/0.39 $false|sQ0_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f17,f12])).
% 0.08/0.39 fof(f23,plain,(
% 0.08/0.39 sQ0_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f22])).
% 0.08/0.39 fof(f24,plain,(
% 0.08/0.39 c_insert(v_nat,c_emptyset,tc_nat)=c_emptyset|~sQ1_spl),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f8,f19])).
% 0.08/0.39 fof(f26,plain,(
% 0.08/0.39 $false|~sQ1_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f24,f9])).
% 0.08/0.39 fof(f27,plain,(
% 0.08/0.39 ~sQ1_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f26])).
% 0.08/0.39 fof(f28,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f21,f23,f27])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.045602 seconds
% 0.08/0.42 % CPU time: 0.139075 seconds
% 0.08/0.42 % Total memory used: 66.290 MB
% 0.08/0.42 % Net memory used: 65.683 MB
%------------------------------------------------------------------------------