%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET848-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:40:13 EDT 2024
% Result : Unsatisfiable 1.46s 1.63s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 8 RR)
% Number of literals : 19 ( 3 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Zorn_Osucc__not__equals_0,axiom,
( ~ c_in(X57,c_minus(c_Zorn_Ochain(X55,X56),c_Zorn_Omaxchain(X55,X56),tc_set(tc_set(tc_set(X56)))),tc_set(tc_set(X56)))
| c_Zorn_Osucc(X55,X57,X56) != X57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_ODiffI_0,axiom,
( ~ c_in(X14,X12,X13)
| c_in(X14,X11,X13)
| c_in(X14,c_minus(X12,X11,tc_set(X13)),X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
cnf(cls_Zorn_OTFin__chain__lemma4_0,axiom,
( ~ c_in(X42,c_Zorn_OTFin(X40,X41),tc_set(tc_set(X41)))
| c_in(X42,c_Zorn_Ochain(X40,X41),tc_set(tc_set(X41))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X3,X3,tc_set(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X25,c_Zorn_OTFin(X27,X26),tc_set(tc_set(tc_set(X26))))
| c_in(c_Union(X25,tc_set(X26)),c_Zorn_OTFin(X27,X26),tc_set(tc_set(X26))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(c15,plain,
c_in(c_Union(c_Zorn_OTFin(X79,X78),tc_set(X78)),c_Zorn_OTFin(X79,X78),tc_set(tc_set(X78))),
inference(resolution,[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).
cnf(c30,plain,
c_in(c_Union(c_Zorn_OTFin(X81,X80),tc_set(X80)),c_Zorn_Ochain(X81,X80),tc_set(tc_set(X80))),
inference(resolution,[status(thm)],[c15,cls_Zorn_OTFin__chain__lemma4_0]) ).
cnf(c47,plain,
( c_in(c_Union(c_Zorn_OTFin(X286,X285),tc_set(X285)),X284,tc_set(tc_set(X285)))
| c_in(c_Union(c_Zorn_OTFin(X286,X285),tc_set(X285)),c_minus(c_Zorn_Ochain(X286,X285),X284,tc_set(tc_set(tc_set(X285)))),tc_set(tc_set(X285))) ),
inference(resolution,[status(thm)],[c30,cls_Set_ODiffI_0]) ).
cnf(c867,plain,
c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c47,cls_conjecture_0]) ).
cnf(c3440,plain,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(resolution,[status(thm)],[c867,cls_Zorn_Osucc__not__equals_0]) ).
cnf(c3443,plain,
$false,
inference(resolution,[status(thm)],[c3440,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET848-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 18:44:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.46/1.63 % Version: 1.5
% 1.46/1.63 % SZS status Unsatisfiable
% 1.46/1.63 % SZS output start CNFRefutation
% See solution above
% 1.46/1.63
% 1.46/1.63 % Initial clauses : 19
% 1.46/1.63 % Processed clauses : 194
% 1.46/1.63 % Factors computed : 27
% 1.46/1.63 % Resolvents computed: 3408
% 1.46/1.63 % Tautologies deleted: 2
% 1.46/1.63 % Forward subsumed : 107
% 1.46/1.63 % Backward subsumed : 4
% 1.46/1.63 % -------- CPU Time ---------
% 1.46/1.63 % User time : 1.254 s
% 1.46/1.63 % System time : 0.020 s
% 1.46/1.63 % Total time : 1.274 s
%------------------------------------------------------------------------------