TSTP Solution File: GRP624+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP624+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 : Sat Jul 16 11:34:05 EDT 2022

% Result   : Theorem 9.08s 1.50s
% Output   : Proof 9.35s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ v3_struct_0(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g1,plain,
    v1_group_1(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g2,plain,
    v3_group_1(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g3,plain,
    v4_group_1(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g4,plain,
    l1_group_1(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g5,plain,
    m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g6,plain,
    m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g7,plain,
    ~ sPE(k1_binop_1(k2_autgroup(sK0),sK1,sK2),k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup)]) ).

cnf(g8,plain,
    ( ~ v1_xboole_0(u1_struct_0(sK0))
    | ~ l1_struct_0(sK0)
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0)]) ).

cnf(g9,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup)]) ).

cnf(g10,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | v1_funct_2(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup)]) ).

cnf(g11,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | m2_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup)]) ).

cnf(g12,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | v1_funct_1(k2_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup)]) ).

cnf(g13,plain,
    ( ~ l1_group_1(sK0)
    | l1_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1)]) ).

cnf(g14,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
    | v3_struct_0(sK0)
    | m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup)]) ).

cnf(g15,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
    | v3_struct_0(sK0)
    | m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup)]) ).

cnf(g16,plain,
    ( ~ m2_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
    | m1_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1)]) ).

cnf(g17,plain,
    ( ~ v1_xboole_0(k1_autgroup(sK0))
    | ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel)]) ).

cnf(g18,plain,
    ( ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
    | ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
    | m1_subset_1(sK1,k1_autgroup(sK0))
    | v1_xboole_0(u1_struct_0(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel)]) ).

cnf(g19,plain,
    ( ~ m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
    | ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
    | m1_subset_1(sK2,k1_autgroup(sK0))
    | v1_xboole_0(u1_struct_0(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel)]) ).

cnf(g20,plain,
    sPE(k2_autgroup(sK0),k2_autgroup(sK0)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(k1_binop_1(k2_autgroup(sK0),sK1,sK2),k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2))
    | ~ sPE(k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2),k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1))
    | sPE(k1_binop_1(k2_autgroup(sK0),sK1,sK2),k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(k2_autgroup(sK0),k2_autgroup(sK0))
    | ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
    | ~ m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
    | ~ v1_funct_1(k2_autgroup(sK0))
    | ~ v1_funct_2(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
    | ~ m2_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
    | sPE(k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2),k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1))
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_autgroup)]) ).

cnf(g23,plain,
    ( ~ sPE(k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2),k1_binop_1(k2_autgroup(sK0),sK1,sK2))
    | sPE(k1_binop_1(k2_autgroup(sK0),sK1,sK2),k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ m1_subset_1(sK1,k1_autgroup(sK0))
    | ~ m1_subset_1(sK2,k1_autgroup(sK0))
    | ~ v1_funct_1(k2_autgroup(sK0))
    | ~ m1_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
    | ~ v1_funct_2(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
    | sPE(k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2),k1_binop_1(k2_autgroup(sK0),sK1,sK2))
    | v1_xboole_0(k1_autgroup(sK0))
    | v1_xboole_0(k1_autgroup(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP624+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n017.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 : Mon Jun 13 23:41:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 9.08/1.50  % symbols: 66
% 9.08/1.50  % clauses: 169
% 9.08/1.50  % start clauses: 8
% 9.08/1.50  % iterative deepening steps: 333
% 9.08/1.50  % maximum path limit: 3
% 9.08/1.50  % literal attempts: 1306463
% 9.08/1.50  % depth failures: 1191762
% 9.08/1.50  % regularity failures: 2415
% 9.08/1.50  % tautology failures: 18471
% 9.08/1.50  % reductions: 24595
% 9.08/1.50  % extensions: 1279657
% 9.08/1.50  % SAT variables: 446394
% 9.08/1.50  % SAT clauses: 366928
% 9.08/1.50  % WalkSAT solutions: 366923
% 9.08/1.50  % CDCL solutions: 1
% 9.08/1.50  % SZS status Theorem for theBenchmark
% 9.08/1.50  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------