TSTP Solution File: COM008+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : COM008+2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n021.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 : Fri Jul 15 01:41:21 EDT 2022

% Result   : Theorem 75.00s 9.83s
% Output   : Proof 75.00s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ goal,
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved)]) ).

cnf(g1,plain,
    transitive_reflexive_rewrite(a,b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption)]) ).

cnf(g2,plain,
    ( ~ transitive_reflexive_rewrite(b,b)
    | ~ transitive_reflexive_rewrite(c,b)
    | goal ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',found)]) ).

cnf(g3,plain,
    ( ~ sPE(b,b)
    | transitive_reflexive_rewrite(b,b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)]) ).

cnf(g4,plain,
    sPE(b,b),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(a,c)
    | ~ sPE(b,b)
    | ~ transitive_reflexive_rewrite(a,b)
    | transitive_reflexive_rewrite(c,b) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ transitive_reflexive_rewrite(a,c)
    | sPE(a,c)
    | rewrite(a,sK2(a,c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite)]) ).

cnf(g7,plain,
    ( ~ transitive_reflexive_rewrite(a,c)
    | sPE(a,c)
    | transitive_reflexive_rewrite(sK2(a,c),c) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite)]) ).

cnf(g8,plain,
    ( ~ transitive_reflexive_rewrite(b,c)
    | ~ transitive_reflexive_rewrite(c,c)
    | goal ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',found)]) ).

cnf(g9,plain,
    ( ~ sPE(c,c)
    | transitive_reflexive_rewrite(c,c) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)]) ).

cnf(g10,plain,
    sPE(c,c),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    transitive_reflexive_rewrite(a,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption)]) ).

cnf(g12,plain,
    ( ~ sPE(a,b)
    | ~ sPE(c,c)
    | ~ transitive_reflexive_rewrite(a,c)
    | transitive_reflexive_rewrite(b,c) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ transitive_reflexive_rewrite(a,b)
    | sPE(a,b)
    | transitive_reflexive_rewrite(sK2(a,b),b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite)]) ).

cnf(g14,plain,
    ( ~ transitive_reflexive_rewrite(a,b)
    | sPE(a,b)
    | rewrite(a,sK2(a,b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite)]) ).

cnf(g15,plain,
    ( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)))
    | ~ transitive_reflexive_rewrite(sK2(a,c),c)
    | ~ rewrite(a,sK2(a,c))
    | transitive_reflexive_rewrite(c,sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl)]) ).

cnf(g16,plain,
    ( ~ rewrite(a,sK2(a,b))
    | ~ rewrite(a,sK2(a,c))
    | transitive_reflexive_rewrite(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lo_cfl)]) ).

cnf(g17,plain,
    ( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)))
    | ~ transitive_reflexive_rewrite(sK2(a,c),c)
    | ~ rewrite(a,sK2(a,c))
    | transitive_reflexive_rewrite(sK0(a,sK2(a,b),sK2(a,c)),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl)]) ).

cnf(g18,plain,
    ( ~ rewrite(a,sK2(a,b))
    | ~ rewrite(a,sK2(a,c))
    | transitive_reflexive_rewrite(sK2(a,b),sK0(a,sK2(a,b),sK2(a,c))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lo_cfl)]) ).

cnf(g19,plain,
    ( ~ transitive_reflexive_rewrite(b,sK1(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),b))
    | ~ transitive_reflexive_rewrite(c,sK1(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),b))
    | goal ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',found)]) ).

cnf(g20,plain,
    ( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c))
    | ~ transitive_reflexive_rewrite(sK2(a,b),b)
    | ~ rewrite(a,sK2(a,b))
    | transitive_reflexive_rewrite(b,sK1(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl)]) ).

cnf(g21,plain,
    ( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c))
    | ~ transitive_reflexive_rewrite(sK2(a,b),b)
    | ~ rewrite(a,sK2(a,b))
    | transitive_reflexive_rewrite(sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),sK1(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl)]) ).

cnf(g22,plain,
    ( ~ transitive_reflexive_rewrite(c,sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c))
    | ~ transitive_reflexive_rewrite(sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),sK1(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),b))
    | transitive_reflexive_rewrite(c,sK1(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c),b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).

cnf(g23,plain,
    ( ~ transitive_reflexive_rewrite(sK2(a,b),sK0(a,sK2(a,b),sK2(a,c)))
    | ~ transitive_reflexive_rewrite(sK0(a,sK2(a,b),sK2(a,c)),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c))
    | transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM008+2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n021.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 : Thu Jun 16 16:51:45 EDT 2022
% 0.21/0.34  % CPUTime  : 
% 75.00/9.83  % symbols: 11
% 75.00/9.83  % clauses: 21
% 75.00/9.83  % start clauses: 1
% 75.00/9.83  % iterative deepening steps: 4485
% 75.00/9.83  % maximum path limit: 6
% 75.00/9.83  % literal attempts: 10597013
% 75.00/9.83  % depth failures: 6836332
% 75.00/9.83  % regularity failures: 492614
% 75.00/9.83  % tautology failures: 403879
% 75.00/9.83  % reductions: 1111376
% 75.00/9.83  % extensions: 9481892
% 75.00/9.83  % SAT variables: 879959
% 75.00/9.83  % SAT clauses: 1173078
% 75.00/9.83  % WalkSAT solutions: 1173069
% 75.00/9.83  % CDCL solutions: 8
% 75.00/9.83  % SZS status Theorem for theBenchmark
% 75.00/9.83  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------