%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET834-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:40:11 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 9 unt; 5 nHn; 14 RR)
% Number of literals : 36 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 39 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OUnE_0,axiom,
( ~ c_in(X25,c_union(X24,X26,X27),X27)
| c_in(X25,X26,X27)
| c_in(X25,X24,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X21,X20,X23)
| ~ c_lessequals(X20,X22,tc_set(X23))
| c_in(X21,X22,X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X15,X16,X17),X16,X17)
| c_lessequals(X15,X16,tc_set(X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OUnCI_0,axiom,
( ~ c_in(X3,X2,X5)
| c_in(X3,c_union(X4,X2,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X12,X13,X14),X12,X14)
| c_lessequals(X12,X13,tc_set(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(c7,plain,
( c_lessequals(X53,X54,tc_set(X56))
| c_in(c_Main_OsubsetI__1(X53,X54,X56),c_union(X55,X53,X56),X56) ),
inference(resolution,[status(thm)],[cls_Set_OsubsetI_0,cls_Set_OUnCI_0]) ).
cnf(c48,plain,
c_lessequals(X59,c_union(X57,X59,X58),tc_set(X58)),
inference(resolution,[status(thm)],[c7,cls_Set_OsubsetI_1]) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(v_X,X37,tc_set(t_a))
| ~ c_lessequals(v_Z,X37,tc_set(t_a))
| ~ c_lessequals(v_Y,X37,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Set_OUnCI_1,axiom,
( ~ c_in(X8,X7,X10)
| c_in(X8,c_union(X7,X9,X10),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
cnf(c6,plain,
( c_lessequals(X47,X48,tc_set(X49))
| c_in(c_Main_OsubsetI__1(X47,X48,X49),c_union(X47,X46,X49),X49) ),
inference(resolution,[status(thm)],[cls_Set_OsubsetI_0,cls_Set_OUnCI_1]) ).
cnf(c39,plain,
c_lessequals(X51,c_union(X51,X52,X50),tc_set(X50)),
inference(resolution,[status(thm)],[c6,cls_Set_OsubsetI_1]) ).
cnf(c43,plain,
( c_lessequals(v_X,c_union(v_Y,X286,t_a),tc_set(t_a))
| ~ c_lessequals(v_Z,c_union(v_Y,X286,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[c39,cls_conjecture_5]) ).
cnf(c644,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(resolution,[status(thm)],[c43,c48]) ).
cnf(c656,plain,
( ~ c_in(X295,v_X,t_a)
| c_in(X295,c_union(v_Y,v_Z,t_a),t_a) ),
inference(resolution,[status(thm)],[c644,cls_Set_OsubsetD_0]) ).
cnf(c674,plain,
c_in(v_x,c_union(v_Y,v_Z,t_a),t_a),
inference(resolution,[status(thm)],[c656,cls_conjecture_2]) ).
cnf(c677,plain,
( c_in(v_x,v_Z,t_a)
| c_in(v_x,v_Y,t_a) ),
inference(resolution,[status(thm)],[c674,cls_Set_OUnE_0]) ).
cnf(c703,plain,
c_in(v_x,v_Y,t_a),
inference(resolution,[status(thm)],[c677,cls_conjecture_3]) ).
cnf(c727,plain,
$false,
inference(resolution,[status(thm)],[c703,cls_conjecture_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET834-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 18:37:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.57/0.76 % Version: 1.5
% 0.57/0.76 % SZS status Unsatisfiable
% 0.57/0.76 % SZS output start CNFRefutation
% See solution above
% 0.57/0.76
% 0.57/0.76 % Initial clauses : 10
% 0.57/0.76 % Processed clauses : 73
% 0.57/0.76 % Factors computed : 2
% 0.57/0.76 % Resolvents computed: 729
% 0.57/0.76 % Tautologies deleted: 1
% 0.57/0.76 % Forward subsumed : 48
% 0.57/0.76 % Backward subsumed : 1
% 0.57/0.76 % -------- CPU Time ---------
% 0.57/0.76 % User time : 0.385 s
% 0.57/0.76 % System time : 0.018 s
% 0.57/0.76 % Total time : 0.403 s
%------------------------------------------------------------------------------