TSTP Solution File: SET842-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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  : 600s
% DateTime : Tue Jul 19 04:40:40 EDT 2022

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    input ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X7,X5,X6),X5,X6)
    | c_lessequals(X7,X5,tc_set(X6)) ),
    input ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X4,X2,X3),X4,X3)
    | c_lessequals(X4,X2,tc_set(X3)) ),
    input ).

cnf(cls_Set_OUnionE_1,axiom,
    ( ~ c_in(X12,c_Union(X11,X10),X10)
    | c_in(X12,c_Main_OUnionE__1(X12,X11,X10),X10) ),
    input ).

cnf(c1,plain,
    ( c_in(c_Main_OsubsetI__1(c_Union(X33,X32),X34,X32),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X33,X32),X34,X32),X33,X32),X32)
    | c_lessequals(c_Union(X33,X32),X34,tc_set(X32)) ),
    inference(resolution,status(thm),[cls_Set_OUnionE_1,cls_Set_OsubsetI_0]) ).

cnf(c23,plain,
    c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)),
    inference(resolution,status(thm),[c1,cls_conjecture_3]) ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( ~ c_in(X15,X16,X14)
    | ~ c_lessequals(X16,X13,tc_set(X14))
    | c_in(X15,X13,X14) ),
    input ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X27,v_m,tc_set(tc_set(t_a)))
    | ~ c_in(X27,v_Y,tc_set(tc_set(t_a))) ),
    input ).

cnf(cls_Set_OUnionE_0,axiom,
    ( ~ c_in(X22,c_Union(X21,X20),X20)
    | c_in(c_Main_OUnionE__1(X22,X21,X20),X21,tc_set(X20)) ),
    input ).

cnf(c5,plain,
    ( c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X44,X43),X45,X43),X44,X43),X44,tc_set(X43))
    | c_lessequals(c_Union(X44,X43),X45,tc_set(X43)) ),
    inference(resolution,status(thm),[cls_Set_OUnionE_0,cls_Set_OsubsetI_0]) ).

cnf(c29,plain,
    c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
    inference(resolution,status(thm),[c5,cls_conjecture_3]) ).

cnf(c196,plain,
    c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    inference(resolution,status(thm),[c29,cls_conjecture_4]) ).

cnf(c329,plain,
    ( ~ c_in(X270,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
    | c_in(X270,v_m,tc_set(t_a)) ),
    inference(resolution,status(thm),[c196,cls_Set_OsubsetD_0]) ).

cnf(c676,plain,
    c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
    inference(resolution,status(thm),[c329,c23]) ).

cnf(c695,plain,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    inference(resolution,status(thm),[c676,cls_Set_OsubsetI_1]) ).

cnf(c705,plain,
    $false,
    inference(resolution,status(thm),[c695,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 05:23:12 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.61/0.82  # Version:  1.3
% 0.61/0.82  # SZS status Unsatisfiable
% 0.61/0.82  # SZS output start CNFRefutation
% See solution above
% 0.61/0.82  
% 0.61/0.82  # Initial clauses    : 7
% 0.61/0.82  # Processed clauses  : 48
% 0.61/0.82  # Factors computed   : 14
% 0.61/0.82  # Resolvents computed: 692
% 0.61/0.82  # Tautologies deleted: 1
% 0.61/0.82  # Forward subsumed   : 37
% 0.61/0.82  # Backward subsumed  : 0
% 0.61/0.82  # -------- CPU Time ---------
% 0.61/0.82  # User time          : 0.457 s
% 0.61/0.82  # System time        : 0.019 s
% 0.61/0.82  # Total time         : 0.476 s
%------------------------------------------------------------------------------