TSTP Solution File: SEU325+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 14:13:53 EDT 2022

% Result   : Theorem 7.25s 1.39s
% Output   : Proof 7.25s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ empty_carrier(sK10),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tops_2)]) ).

cnf(g1,plain,
    one_sorted_str(sK10),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tops_2)]) ).

cnf(g2,plain,
    element(sK11,powerset(powerset(the_carrier(sK10)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tops_2)]) ).

cnf(g3,plain,
    is_a_cover_of_carrier(sK10,sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tops_2)]) ).

cnf(g4,plain,
    sPE(sK11,empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tops_2)]) ).

cnf(g5,plain,
    ( ~ empty(cast_as_carrier_subset(sK10))
    | ~ one_sorted_str(sK10)
    | empty_carrier(sK10) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc)]) ).

cnf(g6,plain,
    ( ~ element(sK11,powerset(powerset(the_carrier(sK10))))
    | ~ one_sorted_str(sK10)
    | ~ is_a_cover_of_carrier(sK10,sK11)
    | sPE(cast_as_carrier_subset(sK10),union_of_subsets(the_carrier(sK10),sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_pre_topc)]) ).

cnf(g7,plain,
    ( ~ element(sK11,powerset(powerset(the_carrier(sK10))))
    | subset(sK11,powerset(the_carrier(sK10))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).

cnf(g8,plain,
    ( ~ element(empty_set,powerset(powerset(the_carrier(sK10))))
    | sPE(union_of_subsets(the_carrier(sK10),empty_set),union(empty_set)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1)]) ).

cnf(g9,plain,
    sPE(sK10,sK10),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ element(sK4(cast_as_carrier_subset(sK10)),cast_as_carrier_subset(sK10))
    | in(sK4(cast_as_carrier_subset(sK10)),cast_as_carrier_subset(sK10))
    | empty(cast_as_carrier_subset(sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset)]) ).

cnf(g11,plain,
    element(sK4(cast_as_carrier_subset(sK10)),cast_as_carrier_subset(sK10)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1)]) ).

cnf(g12,plain,
    sPE(powerset(the_carrier(sK10)),powerset(the_carrier(sK10))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(sK10,sK10)
    | sPE(the_carrier(sK10),the_carrier(sK10)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    empty(empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered)]) ).

cnf(g15,plain,
    ( ~ sPE(sK11,empty_set)
    | ~ sPE(powerset(the_carrier(sK10)),powerset(the_carrier(sK10)))
    | ~ subset(sK11,powerset(the_carrier(sK10)))
    | subset(empty_set,powerset(the_carrier(sK10))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ subset(empty_set,powerset(the_carrier(sK10)))
    | element(empty_set,powerset(powerset(the_carrier(sK10)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).

cnf(g17,plain,
    sPE(sK4(cast_as_carrier_subset(sK10)),sK4(cast_as_carrier_subset(sK10))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(the_carrier(sK10),the_carrier(sK10))
    | ~ sPE(sK11,empty_set)
    | sPE(union_of_subsets(the_carrier(sK10),sK11),union_of_subsets(the_carrier(sK10),empty_set)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(cast_as_carrier_subset(sK10),union_of_subsets(the_carrier(sK10),sK11))
    | ~ sPE(union_of_subsets(the_carrier(sK10),sK11),union_of_subsets(the_carrier(sK10),empty_set))
    | sPE(cast_as_carrier_subset(sK10),union_of_subsets(the_carrier(sK10),empty_set)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(sK4(cast_as_carrier_subset(sK10)),sK4(cast_as_carrier_subset(sK10)))
    | ~ sPE(cast_as_carrier_subset(sK10),union_of_subsets(the_carrier(sK10),empty_set))
    | ~ in(sK4(cast_as_carrier_subset(sK10)),cast_as_carrier_subset(sK10))
    | in(sK4(cast_as_carrier_subset(sK10)),union_of_subsets(the_carrier(sK10),empty_set)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(union_of_subsets(the_carrier(sK10),empty_set),union(empty_set))
    | ~ in(sK4(cast_as_carrier_subset(sK10)),union_of_subsets(the_carrier(sK10),empty_set))
    | in(sK0(empty_set,union_of_subsets(the_carrier(sK10),empty_set),sK4(cast_as_carrier_subset(sK10))),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski)]) ).

cnf(g22,plain,
    ( ~ in(sK0(empty_set,union_of_subsets(the_carrier(sK10),empty_set),sK4(cast_as_carrier_subset(sK10))),empty_set)
    | ~ empty(empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n029.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  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 10:08:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 7.25/1.39  % symbols: 38
% 7.25/1.39  % clauses: 127
% 7.25/1.39  % start clauses: 5
% 7.25/1.39  % iterative deepening steps: 576
% 7.25/1.39  % maximum path limit: 4
% 7.25/1.39  % literal attempts: 4019910
% 7.25/1.39  % depth failures: 3595678
% 7.25/1.39  % regularity failures: 21649
% 7.25/1.39  % tautology failures: 29307
% 7.25/1.39  % reductions: 28916
% 7.25/1.39  % extensions: 3989108
% 7.25/1.39  % SAT variables: 229174
% 7.25/1.39  % SAT clauses: 229222
% 7.25/1.39  % WalkSAT solutions: 229221
% 7.25/1.39  % CDCL solutions: 0
% 7.25/1.39  % SZS status Theorem for theBenchmark
% 7.25/1.39  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------