TSTP Solution File: SET831-2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET831-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %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  : 600s
% DateTime : Tue Jul 19 05:04:09 EDT 2022

% Result   : Unsatisfiable 2.39s 0.69s
% Output   : Proof 2.39s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | c_lessequals(v_X,v_Y,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0)]) ).

cnf(g1,plain,
    ( sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | c_lessequals(v_X,v_Z,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1)]) ).

cnf(g2,plain,
    ( ~ sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | c_lessequals(v_x,v_Y,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2)]) ).

cnf(g3,plain,
    ( ~ sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | c_lessequals(v_x,v_Z,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3)]) ).

cnf(g4,plain,
    ( ~ sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4)]) ).

cnf(g5,plain,
    ( ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
    | ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
    | sPE(v_X,c_inter(v_Y,v_Z,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0)]) ).

cnf(g6,plain,
    ( c_lessequals(v_x,v_X,tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_x,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0)]) ).

cnf(g7,plain,
    sPE(v_Z,v_Z),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(tc_set(t_a),tc_set(t_a)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a))
    | ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a))
    | sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5)]) ).

cnf(g10,plain,
    ( ~ sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | sPE(c_inter(v_Y,v_Z,t_a),v_X) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),c_inter(v_Y,v_Z,t_a),t_a)
    | c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1)]) ).

cnf(g12,plain,
    ( c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_X,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0)]) ).

cnf(g13,plain,
    sPE(v_Y,v_Y),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    sPE(t_a,t_a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    sPE(v_x,v_x),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0)]) ).

cnf(g17,plain,
    ( c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0)]) ).

cnf(g18,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),v_Z,t_a)
    | c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1)]) ).

cnf(g19,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_Z,t_a)
    | ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_Y,t_a)
    | c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0)]) ).

cnf(g20,plain,
    ( ~ c_lessequals(v_x,v_Z,tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_x,t_a)
    | c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Z,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0)]) ).

cnf(g21,plain,
    ( ~ sPE(c_inter(v_Y,v_Z,t_a),v_X)
    | ~ sPE(v_Y,v_Y)
    | ~ sPE(tc_set(t_a),tc_set(t_a))
    | ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a))
    | c_lessequals(v_X,v_Y,tc_set(t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),v_Y,t_a)
    | c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1)]) ).

cnf(g23,plain,
    ( ~ sPE(c_inter(v_Y,v_Z,t_a),v_X)
    | ~ sPE(v_Z,v_Z)
    | ~ sPE(tc_set(t_a),tc_set(t_a))
    | ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a))
    | c_lessequals(v_X,v_Z,tc_set(t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),c_inter(v_Y,v_Z,t_a),t_a)
    | c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),v_Z,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0)]) ).

cnf(g25,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),c_inter(v_Y,v_Z,t_a),t_a)
    | c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),v_Y,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1)]) ).

cnf(g26,plain,
    ( ~ sPE(v_x,v_x)
    | ~ sPE(c_inter(v_Y,v_Z,t_a),v_X)
    | ~ sPE(tc_set(t_a),tc_set(t_a))
    | ~ c_lessequals(v_x,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
    | c_lessequals(v_x,v_X,tc_set(t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_X,t_a)
    | c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_Y,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0)]) ).

cnf(g28,plain,
    ( ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_X,t_a)
    | c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Y,v_Z,t_a),t_a),v_Z,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0)]) ).

cnf(g29,plain,
    ( c_lessequals(v_x,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),v_x,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0)]) ).

cnf(g30,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),c_inter(v_Y,v_Z,t_a),t_a)
    | c_lessequals(v_x,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1)]) ).

cnf(g31,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),v_Z,t_a)
    | ~ c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),v_Y,t_a)
    | c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0)]) ).

cnf(g32,plain,
    ( ~ sPE(c_Main_OsubsetI__1(v_x,v_X,t_a),c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a))
    | ~ sPE(v_Z,v_Z)
    | ~ sPE(t_a,t_a)
    | ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Z,t_a)
    | c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),v_Z,t_a) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE(v_x,v_x)
    | ~ sPE(v_X,c_inter(v_Y,v_Z,t_a))
    | ~ sPE(t_a,t_a)
    | sPE(c_Main_OsubsetI__1(v_x,v_X,t_a),c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ c_lessequals(v_x,v_Y,tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),v_x,t_a)
    | c_in(c_Main_OsubsetI__1(v_x,c_inter(v_Y,v_Z,t_a),t_a),v_Y,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET831-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 02:43:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.39/0.69  % symbols: 12
% 2.39/0.69  % clauses: 21
% 2.39/0.69  % start clauses: 6
% 2.39/0.69  % iterative deepening steps: 634
% 2.39/0.69  % maximum path limit: 4
% 2.39/0.69  % literal attempts: 601443
% 2.39/0.69  % depth failures: 381989
% 2.39/0.69  % regularity failures: 37554
% 2.39/0.69  % tautology failures: 74303
% 2.39/0.69  % reductions: 32935
% 2.39/0.69  % extensions: 565403
% 2.39/0.69  % SAT variables: 31888
% 2.39/0.69  % SAT clauses: 48194
% 2.39/0.69  % WalkSAT solutions: 48187
% 2.39/0.69  % CDCL solutions: 1
% 2.39/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.39/0.69  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------