%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET822-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:40:09 EDT 2024
% Result : Unsatisfiable 0.38s 0.57s
% Output : Refutation 0.38s
% 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 : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X10,c_insert(X10,X9,X8),X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(v_f(X30),X31,tc_IntDef_Oint)
| ~ v_P(v_x(X30,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c11,plain,
~ v_P(v_x(X32,c_insert(v_f(X32),X33,tc_IntDef_Oint))),
inference(resolution,[status(thm)],[cls_conjecture_2,cls_Set_OinsertCI_1]) ).
cnf(cls_conjecture_0,negated_conjecture,
v_P(v_f(v_b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c4,axiom,
( X11 != X12
| ~ v_P(X11)
| v_P(X12) ),
theory(equality) ).
cnf(symmetry,axiom,
( X6 != X5
| X5 = X6 ),
theory(equality) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X4,c_emptyset,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X21,c_insert(X23,X20,X22),X22)
| c_in(X21,X20,X22)
| X21 = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(v_f(X34),X35,tc_IntDef_Oint)
| c_in(v_x(X34,X35),X35,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c12,plain,
c_in(v_x(X88,c_insert(v_f(X88),X89,tc_IntDef_Oint)),c_insert(v_f(X88),X89,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[status(thm)],[cls_conjecture_1,cls_Set_OinsertCI_1]) ).
cnf(c31,plain,
( c_in(v_x(X130,c_insert(v_f(X130),X131,tc_IntDef_Oint)),X131,tc_IntDef_Oint)
| v_x(X130,c_insert(v_f(X130),X131,tc_IntDef_Oint)) = v_f(X130) ),
inference(resolution,[status(thm)],[c12,cls_Set_OinsertE_0]) ).
cnf(c41,plain,
v_x(X132,c_insert(v_f(X132),c_emptyset,tc_IntDef_Oint)) = v_f(X132),
inference(resolution,[status(thm)],[c31,cls_Set_OemptyE_0]) ).
cnf(c68,plain,
v_f(X133) = v_x(X133,c_insert(v_f(X133),c_emptyset,tc_IntDef_Oint)),
inference(resolution,[status(thm)],[c41,symmetry]) ).
cnf(c84,plain,
( ~ v_P(v_f(X136))
| v_P(v_x(X136,c_insert(v_f(X136),c_emptyset,tc_IntDef_Oint))) ),
inference(resolution,[status(thm)],[c68,c4]) ).
cnf(c99,plain,
v_P(v_x(v_b,c_insert(v_f(v_b),c_emptyset,tc_IntDef_Oint))),
inference(resolution,[status(thm)],[c84,cls_conjecture_0]) ).
cnf(c101,plain,
$false,
inference(resolution,[status(thm)],[c99,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET822-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 19:43:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.38/0.57 % Version: 1.5
% 0.38/0.57 % SZS status Unsatisfiable
% 0.38/0.57 % SZS output start CNFRefutation
% See solution above
% 0.38/0.57
% 0.38/0.57 % Initial clauses : 14
% 0.38/0.57 % Processed clauses : 37
% 0.38/0.57 % Factors computed : 8
% 0.38/0.57 % Resolvents computed: 89
% 0.38/0.57 % Tautologies deleted: 3
% 0.38/0.57 % Forward subsumed : 15
% 0.38/0.57 % Backward subsumed : 1
% 0.38/0.57 % -------- CPU Time ---------
% 0.38/0.57 % User time : 0.195 s
% 0.38/0.57 % System time : 0.015 s
% 0.38/0.57 % Total time : 0.210 s
%------------------------------------------------------------------------------