TSTP Solution File: SEU417+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU417+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n008.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 14:14:45 EDT 2022

% Result   : Theorem 112.62s 14.86s
% Output   : Proof 113.44s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2)]) ).

cnf(g1,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2)]) ).

cnf(g2,plain,
    ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2)]) ).

cnf(g3,plain,
    ( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k5_subset_1(k1_zfmisc_1(sK0),sK2,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1)]) ).

cnf(g4,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | sPE(k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k5_subset_1(k1_zfmisc_1(sK0),sK2,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_1)]) ).

cnf(g5,plain,
    ( ~ sPE(k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k5_subset_1(k1_zfmisc_1(sK0),sK2,sK1))
    | sPE(k5_subset_1(k1_zfmisc_1(sK0),sK2,sK1),k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ m1_subset_1(k5_subset_1(k1_zfmisc_1(sK0),sK2,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k8_setfam_1(sK0,k5_subset_1(k1_zfmisc_1(sK0),sK2,sK2)),k1_zfmisc_1(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1)]) ).

cnf(g7,plain,
    sPE(k1_zfmisc_1(k1_zfmisc_1(sK0)),k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    r1_tarski(sK0,sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).

cnf(g9,plain,
    ( ~ r1_tarski(sK0,sK0)
    | m1_subset_1(sK0,k1_zfmisc_1(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset)]) ).

cnf(g10,plain,
    ( ~ m1_subset_1(sK0,k1_zfmisc_1(sK0))
    | ~ m1_subset_1(k8_setfam_1(sK0,k5_subset_1(k1_zfmisc_1(sK0),sK2,sK2)),k1_zfmisc_1(sK0))
    | sPE(k5_subset_1(sK0,sK0,sK0),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k5_subset_1)]) ).

cnf(g11,plain,
    ( ~ sPE(sK0,k5_subset_1(sK0,sK0,sK0))
    | ~ sPE(k5_subset_1(sK0,sK0,sK0),sK0)
    | sPE(sK0,sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(k5_subset_1(sK0,sK0,sK0),sK0)
    | sPE(sK0,k5_subset_1(sK0,sK0,sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k5_subset_1(k1_zfmisc_1(sK0),sK2,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1)]) ).

cnf(g14,plain,
    ( ~ sPE(k5_subset_1(k1_zfmisc_1(sK0),sK2,sK1),k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2))
    | ~ sPE(k1_zfmisc_1(k1_zfmisc_1(sK0)),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(k5_subset_1(k1_zfmisc_1(sK0),sK2,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | sPE(k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k3_xboole_0(sK1,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1)]) ).

cnf(g16,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1)]) ).

cnf(g17,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | sPE(k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k2_xboole_0(sK1,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1)]) ).

cnf(g18,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | sPE(k1_relset_2(sK0,sK1,sK2),k3_xboole_0(sK1,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_relset_2)]) ).

cnf(g19,plain,
    ( ~ sPE(k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
    | sPE(k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(sK0,sK0)
    | ~ sPE(k1_relset_2(sK0,sK1,sK2),k3_xboole_0(sK1,sK2))
    | sPE(k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(k2_xboole_0(sK1,sK2),k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2))
    | ~ m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | sPE(k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)),k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_mssubfam)]) ).

cnf(g22,plain,
    ( ~ sPE(k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k2_xboole_0(sK1,sK2))
    | sPE(k2_xboole_0(sK1,sK2),k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k3_xboole_0(sK1,sK2))
    | ~ sPE(k1_zfmisc_1(k1_zfmisc_1(sK0)),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(k5_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ sPE(k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k2_xboole_0(sK1,sK2))
    | ~ sPE(k1_zfmisc_1(k1_zfmisc_1(sK0)),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)),k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)))
    | ~ sPE(k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)))
    | ~ r1_tarski(k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
    | r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ r1_tarski(k3_xboole_0(sK1,sK2),k2_xboole_0(sK1,sK2))
    | r1_tarski(k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_setfam_1)]) ).

cnf(g27,plain,
    r1_tarski(k3_xboole_0(sK1,sK2),k2_xboole_0(sK1,sK2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_xboole_1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU417+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.10  % Command  : satcop --statistics %s
% 0.10/0.30  % Computer : n008.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun Jun 19 21:32:52 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 112.62/14.86  % symbols: 25
% 112.62/14.86  % clauses: 75
% 112.62/14.86  % start clauses: 3
% 112.62/14.86  % iterative deepening steps: 6287
% 112.62/14.86  % maximum path limit: 4
% 112.62/14.86  % literal attempts: 15743736
% 112.62/14.86  % depth failures: 13014205
% 112.62/14.86  % regularity failures: 80085
% 112.62/14.86  % tautology failures: 161776
% 112.62/14.86  % reductions: 1639899
% 112.62/14.86  % extensions: 14099165
% 112.62/14.86  % SAT variables: 4341265
% 112.62/14.86  % SAT clauses: 4510329
% 112.62/14.86  % WalkSAT solutions: 4510307
% 112.62/14.86  % CDCL solutions: 17
% 112.62/14.86  % SZS status Theorem for theBenchmark
% 112.62/14.86  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------