%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET853-1 : 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 : 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 02:12:45 PM UTC 2026
% Result : Unsatisfiable 26.67s 3.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET853-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 05:41:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 26.67/3.88 % Refutation found
% 26.67/3.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.67/3.88 % SZS output start CNFRefutation for theBenchmark
% 26.67/3.88 fof(f309,axiom,(
% 26.67/3.88 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f310,axiom,(
% 26.67/3.88 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1359,axiom,(
% 26.67/3.88 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1360,axiom,(
% 26.67/3.88 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1361,axiom,(
% 26.67/3.88 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a) != V_m| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1362,axiom,(
% 26.67/3.88 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1366,axiom,(
% 26.67/3.88 (![V_x,V_y,T_a,V_S]: (( ~ c_lessequals(V_x,V_y,tc_set(tc_set(T_a)))| c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a))) ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1367,negated_conjecture,(
% 26.67/3.88 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1368,negated_conjecture,(
% 26.67/3.88 c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1369,negated_conjecture,(
% 26.67/3.88 c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1370,negated_conjecture,(
% 26.67/3.88 v_xa != c_Zorn_Osucc(v_S,v_x,t_a) ),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1371,negated_conjecture,(
% 26.67/3.88 ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1372,negated_conjecture,(
% 26.67/3.88 (![V_U]: (( c_lessequals(c_Zorn_Osucc(v_S,V_U,t_a),v_x,tc_set(tc_set(t_a)))| V_U = v_x| ~ c_lessequals(V_U,v_x,tc_set(tc_set(t_a)))| ~ c_in(V_U,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ) ))),
% 26.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.67/3.88 fof(f1789,plain,(
% 26.67/3.88 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 26.67/3.88 inference(miniscoping,[status(thm)],[f309])).
% 26.67/3.88 fof(f1790,plain,(
% 26.67/3.88 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1789])).
% 26.67/3.88 fof(f1791,plain,(
% 26.67/3.88 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f310])).
% 26.67/3.88 fof(f2849,plain,(
% 26.67/3.88 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1359])).
% 26.67/3.88 fof(f2850,plain,(
% 26.67/3.88 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1360])).
% 26.67/3.88 fof(f2851,plain,(
% 26.67/3.88 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2)=X0|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1361])).
% 26.67/3.88 fof(f2852,plain,(
% 26.67/3.88 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1362])).
% 26.67/3.88 fof(f2859,plain,(
% 26.67/3.88 ![V_x,V_y,T_a]: (~c_lessequals(V_x,V_y,tc_set(tc_set(T_a)))|(![V_S]: c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a)))))),
% 26.67/3.88 inference(miniscoping,[status(thm)],[f1366])).
% 26.67/3.88 fof(f2860,plain,(
% 26.67/3.88 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(tc_set(X2)))|c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f2859])).
% 26.67/3.88 fof(f2861,plain,(
% 26.67/3.88 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1367])).
% 26.67/3.88 fof(f2862,plain,(
% 26.67/3.88 c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1368])).
% 26.67/3.88 fof(f2863,plain,(
% 26.67/3.88 c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a)))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1369])).
% 26.67/3.88 fof(f2864,plain,(
% 26.67/3.88 ~v_xa=c_Zorn_Osucc(v_S,v_x,t_a)),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1370])).
% 26.67/3.88 fof(f2865,plain,(
% 26.67/3.88 ~c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a)))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1371])).
% 26.67/3.88 fof(f2866,plain,(
% 26.67/3.88 ![X0]: (c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a)))|X0=v_x|~c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 26.67/3.88 inference(cnf_transformation,[status(thm)],[f1372])).
% 26.67/3.88 fof(f2888,plain,(
% 26.67/3.88 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))|v_xa=c_Zorn_Osucc(v_S,v_x,t_a)),
% 26.67/3.88 inference(resolution,[status(thm)],[f2863,f1790])).
% 26.67/3.88 fof(f2891,definition,(
% 26.67/3.88 sQ0_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f2894,definition,(
% 26.67/3.88 sQ1_spl <=> (v_xa=c_Zorn_Osucc(v_S,v_x,t_a))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f2895,plain,(
% 26.67/3.88 v_xa=c_Zorn_Osucc(v_S,v_x,t_a)|~sQ1_spl),
% 26.67/3.88 inference(component_clause,[status(thm)],[f2894])).
% 26.67/3.88 fof(f2897,plain,(
% 26.67/3.88 ~sQ0_spl|sQ1_spl),
% 26.67/3.88 inference(split_clause,[status(thm)],[f2888,f2891,f2894])).
% 26.67/3.88 fof(f2904,plain,(
% 26.67/3.88 ![X0,X1]: (X0=v_x|~c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),c_Zorn_Osucc(X1,v_x,t_a),tc_set(tc_set(t_a))))),
% 26.67/3.88 inference(resolution,[status(thm)],[f2866,f2860])).
% 26.67/3.88 fof(f2914,definition,(
% 26.67/3.88 sQ3_spl <=> (v_xa=v_x)),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f2915,plain,(
% 26.67/3.88 v_xa=v_x|~sQ3_spl),
% 26.67/3.88 inference(component_clause,[status(thm)],[f2914])).
% 26.67/3.88 fof(f2917,definition,(
% 26.67/3.88 sQ4_spl <=> (c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f2950,definition,(
% 26.67/3.88 sQ10_spl <=> (c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f2952,plain,(
% 26.67/3.88 ~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|sQ10_spl),
% 26.67/3.88 inference(component_clause,[status(thm)],[f2950])).
% 26.67/3.88 fof(f3072,plain,(
% 26.67/3.88 $false|sQ10_spl),
% 26.67/3.88 inference(forward_subsumption_resolution,[status(thm)],[f2952,f2861])).
% 26.67/3.88 fof(f3073,plain,(
% 26.67/3.88 sQ10_spl),
% 26.67/3.88 inference(contradiction_clause,[status(thm)],[f3072])).
% 26.67/3.88 fof(f3989,plain,(
% 26.67/3.88 $false|~sQ1_spl),
% 26.67/3.88 inference(forward_subsumption_resolution,[status(thm)],[f2895,f2864])).
% 26.67/3.88 fof(f3990,plain,(
% 26.67/3.88 ~sQ1_spl),
% 26.67/3.88 inference(contradiction_clause,[status(thm)],[f3989])).
% 26.67/3.88 fof(f4227,plain,(
% 26.67/3.88 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a)))|~sQ3_spl),
% 26.67/3.88 inference(forward_demodulation,[status(thm)],[f2915,f2865])).
% 26.67/3.88 fof(f4228,plain,(
% 26.67/3.88 $false|~sQ3_spl),
% 26.67/3.88 inference(forward_subsumption_resolution,[status(thm)],[f4227,f1791])).
% 26.67/3.88 fof(f4229,plain,(
% 26.67/3.88 ~sQ3_spl),
% 26.67/3.88 inference(contradiction_clause,[status(thm)],[f4228])).
% 26.67/3.88 fof(f4233,plain,(
% 26.67/3.88 v_xa=v_x|~c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))|~c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 26.67/3.88 inference(resolution,[status(thm)],[f2865,f2904])).
% 26.67/3.88 fof(f4247,definition,(
% 26.67/3.88 sQ87_spl <=> (c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f4249,plain,(
% 26.67/3.88 ~c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|sQ87_spl),
% 26.67/3.88 inference(component_clause,[status(thm)],[f4247])).
% 26.67/3.88 fof(f4250,plain,(
% 26.67/3.88 sQ3_spl|~sQ4_spl|~sQ87_spl),
% 26.67/3.88 inference(split_clause,[status(thm)],[f4233,f2914,f2917,f4247])).
% 26.67/3.88 fof(f6791,plain,(
% 26.67/3.88 ![X0,X1]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X1,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),t_a),v_x,tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a)=v_x|~c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))))),
% 26.67/3.88 inference(resolution,[status(thm)],[f2849,f2866])).
% 26.67/3.88 fof(f6863,definition,(
% 26.67/3.88 ![X0]: (sQ141_spl <=> (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f6864,plain,(
% 26.67/3.88 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))|~sQ141_spl)),
% 26.67/3.88 inference(component_clause,[status(thm)],[f6863])).
% 26.67/3.88 fof(f6883,plain,(
% 26.67/3.88 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a))))),
% 26.67/3.88 inference(resolution,[status(thm)],[f2850,f2861])).
% 26.67/3.88 fof(f6988,definition,(
% 26.67/3.88 sQ144_spl <=> (c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))))),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f6991,plain,(
% 26.67/3.88 sQ141_spl|sQ144_spl),
% 26.67/3.88 inference(split_clause,[status(thm)],[f6883,f6863,f6988])).
% 26.67/3.88 fof(f7005,plain,(
% 26.67/3.88 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)=v_x|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a))))),
% 26.67/3.88 inference(resolution,[status(thm)],[f2851,f2861])).
% 26.67/3.88 fof(f7070,definition,(
% 26.67/3.88 sQ146_spl <=> (c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)=v_x)),
% 26.67/3.88 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 26.67/3.88 fof(f7073,plain,(
% 26.67/3.88 sQ141_spl|~sQ146_spl),
% 26.67/3.88 inference(split_clause,[status(thm)],[f7005,f6863,f7070])).
% 26.67/3.88 fof(f7968,plain,(
% 26.67/3.88 $false|sQ87_spl),
% 26.67/3.88 inference(forward_subsumption_resolution,[status(thm)],[f4249,f2862])).
% 26.67/3.88 fof(f7969,plain,(
% 26.67/3.88 sQ87_spl),
% 26.67/3.88 inference(contradiction_clause,[status(thm)],[f7968])).
% 26.67/3.90 fof(f8470,plain,(
% 26.67/3.90 ![X0,X1]: (~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)=v_x|~c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))|~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X1,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X1,tc_set(tc_set(t_a))))),
% 26.67/3.90 inference(resolution,[status(thm)],[f6791,f2852])).
% 26.67/3.90 fof(f8531,plain,(
% 26.67/3.90 ~sQ10_spl|sQ141_spl|sQ146_spl|~sQ144_spl),
% 26.67/3.90 inference(split_clause,[status(thm)],[f8470,f2950,f6863,f7070,f6988])).
% 26.67/3.90 fof(f8534,plain,(
% 26.67/3.90 c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))|~sQ141_spl),
% 26.67/3.90 inference(resolution,[status(thm)],[f6864,f2862])).
% 26.67/3.90 fof(f8581,plain,(
% 26.67/3.90 sQ4_spl|sQ0_spl|~sQ141_spl),
% 26.67/3.90 inference(split_clause,[status(thm)],[f8534,f2917,f2891,f6863])).
% 26.67/3.90 fof(f8605,plain,(
% 26.67/3.90 $false),
% 26.67/3.90 inference(sat_refutation,[status(thm)],[f2897,f3073,f3990,f4229,f4250,f6991,f7073,f7969,f8531,f8581])).
% 26.67/3.90 % SZS output end CNFRefutation for theBenchmark.p
% 23.99/3.98 % Elapsed time: 3.599451 seconds
% 23.99/3.98 % CPU time: 27.756980 seconds
% 23.99/3.98 % Total memory used: 472.974 MB
% 23.99/3.98 % Net memory used: 438.654 MB
%------------------------------------------------------------------------------