TSTP Solution File: SET852-2 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET852-2 : 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 17:40:14 EDT 2024
% Result : Unsatisfiable 0.37s 0.58s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 4 unt; 7 nHn; 8 RR)
% Number of literals : 25 ( 0 equ; 5 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Zorn_OUnion__lemma0_2,axiom,
( ~ c_lessequals(X15,c_Zorn_OUnion__lemma0__1(X13,X15,X14,X16),tc_set(X16))
| c_lessequals(X15,c_Union(X14,X16),tc_set(X16))
| c_lessequals(c_Union(X14,X16),X13,tc_set(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
cnf(cls_Zorn_OUnion__lemma0_1,axiom,
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X9,X11,X8,X10),X9,tc_set(X10))
| c_lessequals(X11,c_Union(X8,X10),tc_set(X10))
| c_lessequals(c_Union(X8,X10),X9,tc_set(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
cnf(cls_Zorn_OUnion__lemma0_0,axiom,
( c_in(c_Zorn_OUnion__lemma0__1(X3,X5,X2,X4),X2,tc_set(X4))
| c_lessequals(X5,c_Union(X2,X4),tc_set(X4))
| c_lessequals(c_Union(X2,X4),X3,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X12,tc_set(tc_set(t_a)))
| c_lessequals(X12,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X12,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c5,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(X52,X53,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X52,X53,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(X53,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X52,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[cls_conjecture_4,cls_Zorn_OUnion__lemma0_0]) ).
cnf(c52,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,X61,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(X61,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c5,cls_Zorn_OUnion__lemma0_1]) ).
cnf(c61,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c52,cls_Zorn_OUnion__lemma0_2]) ).
cnf(c69,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c61,cls_conjecture_3]) ).
cnf(c71,plain,
$false,
inference(resolution,[status(thm)],[c69,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET852-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13 % 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 18:41:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.37/0.58 % Version: 1.5
% 0.37/0.58 % SZS status Unsatisfiable
% 0.37/0.58 % SZS output start CNFRefutation
% See solution above
% 0.37/0.58
% 0.37/0.58 % Initial clauses : 6
% 0.37/0.58 % Processed clauses : 27
% 0.37/0.58 % Factors computed : 14
% 0.37/0.58 % Resolvents computed: 58
% 0.37/0.58 % Tautologies deleted: 0
% 0.37/0.58 % Forward subsumed : 5
% 0.37/0.58 % Backward subsumed : 2
% 0.37/0.58 % -------- CPU Time ---------
% 0.37/0.58 % User time : 0.207 s
% 0.37/0.58 % System time : 0.015 s
% 0.37/0.58 % Total time : 0.222 s
%------------------------------------------------------------------------------