%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:40:08 EDT 2024
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 9 unt; 2 nHn; 11 RR)
% Number of literals : 25 ( 7 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X9,c_insert(X9,X10,X8),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(X14,X15,tc_IntDef_Oint)
| ~ v_P(v_x(X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c6,plain,
~ v_P(v_x(c_insert(X17,X16,tc_IntDef_Oint))),
inference(resolution,[status(thm)],[cls_conjecture_2,cls_Set_OinsertCI_1]) ).
cnf(cls_conjecture_0,negated_conjecture,
v_P(v_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c3,axiom,
( X12 != X11
| ~ v_P(X12)
| v_P(X11) ),
theory(equality) ).
cnf(symmetry,axiom,
( X5 != X6
| X6 = X5 ),
theory(equality) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X4,c_emptyset,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X22,c_insert(X21,X24,X23),X23)
| c_in(X22,X24,X23)
| X22 = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(X35,X34,tc_IntDef_Oint)
| c_in(v_x(X34),X34,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c11,plain,
c_in(v_x(c_insert(X37,X36,tc_IntDef_Oint)),c_insert(X37,X36,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[status(thm)],[cls_conjecture_1,cls_Set_OinsertCI_1]) ).
cnf(c14,plain,
( c_in(v_x(c_insert(X78,X77,tc_IntDef_Oint)),X77,tc_IntDef_Oint)
| v_x(c_insert(X78,X77,tc_IntDef_Oint)) = X78 ),
inference(resolution,[status(thm)],[c11,cls_Set_OinsertE_0]) ).
cnf(c26,plain,
v_x(c_insert(X79,c_emptyset,tc_IntDef_Oint)) = X79,
inference(resolution,[status(thm)],[c14,cls_Set_OemptyE_0]) ).
cnf(c43,plain,
X80 = v_x(c_insert(X80,c_emptyset,tc_IntDef_Oint)),
inference(resolution,[status(thm)],[c26,symmetry]) ).
cnf(c46,plain,
( ~ v_P(X83)
| v_P(v_x(c_insert(X83,c_emptyset,tc_IntDef_Oint))) ),
inference(resolution,[status(thm)],[c43,c3]) ).
cnf(c55,plain,
v_P(v_x(c_insert(v_a,c_emptyset,tc_IntDef_Oint))),
inference(resolution,[status(thm)],[c46,cls_conjecture_0]) ).
cnf(c60,plain,
$false,
inference(resolution,[status(thm)],[c55,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:18:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % Version: 1.5
% 0.21/0.54 % SZS status Unsatisfiable
% 0.21/0.54 % SZS output start CNFRefutation
% See solution above
% 0.21/0.54
% 0.21/0.54 % Initial clauses : 13
% 0.21/0.54 % Processed clauses : 25
% 0.21/0.54 % Factors computed : 4
% 0.21/0.54 % Resolvents computed: 54
% 0.21/0.54 % Tautologies deleted: 3
% 0.21/0.54 % Forward subsumed : 9
% 0.21/0.54 % Backward subsumed : 0
% 0.21/0.54 % -------- CPU Time ---------
% 0.21/0.54 % User time : 0.174 s
% 0.21/0.54 % System time : 0.012 s
% 0.21/0.54 % Total time : 0.186 s
%------------------------------------------------------------------------------