TSTP Solution File: GRP194+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n028.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 11:32:47 EDT 2022

% Result   : Theorem 2.31s 0.63s
% Output   : Proof 2.31s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ left_zero(h,phi(f_left_zero)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_zero_h)]) ).

cnf(g1,plain,
    ( ~ group_member(phi(f_left_zero),h)
    | group_member(sK1(h,phi(f_left_zero)),h)
    | left_zero(h,phi(f_left_zero)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero)]) ).

cnf(g2,plain,
    ( ~ sPE(multiply(h,phi(f_left_zero),sK1(h,phi(f_left_zero))),phi(f_left_zero))
    | ~ group_member(phi(f_left_zero),h)
    | left_zero(h,phi(f_left_zero)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero)]) ).

cnf(g3,plain,
    ( ~ group_member(f_left_zero,f)
    | group_member(phi(f_left_zero),h) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism1)]) ).

cnf(g4,plain,
    left_zero(f,f_left_zero),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero_for_f)]) ).

cnf(g5,plain,
    sPE(phi(f_left_zero),phi(f_left_zero)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(h,h),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ left_zero(f,f_left_zero)
    | group_member(f_left_zero,f) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero)]) ).

cnf(g8,plain,
    ( ~ group_member(sK1(h,phi(f_left_zero)),h)
    | sPE(phi(sK0(sK1(h,phi(f_left_zero)))),sK1(h,phi(f_left_zero))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective)]) ).

cnf(g9,plain,
    ( ~ group_member(sK1(h,phi(f_left_zero)),h)
    | group_member(sK0(sK1(h,phi(f_left_zero))),f) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective)]) ).

cnf(g10,plain,
    ( ~ group_member(sK0(sK1(h,phi(f_left_zero))),f)
    | ~ left_zero(f,f_left_zero)
    | sPE(multiply(f,f_left_zero,sK0(sK1(h,phi(f_left_zero)))),f_left_zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero)]) ).

cnf(g11,plain,
    ( ~ sPE(multiply(f,f_left_zero,sK0(sK1(h,phi(f_left_zero)))),f_left_zero)
    | sPE(phi(multiply(f,f_left_zero,sK0(sK1(h,phi(f_left_zero))))),phi(f_left_zero)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(multiply(h,phi(f_left_zero),sK1(h,phi(f_left_zero))),multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))))
    | ~ sPE(multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))),phi(f_left_zero))
    | sPE(multiply(h,phi(f_left_zero),sK1(h,phi(f_left_zero))),phi(f_left_zero)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))),multiply(h,phi(f_left_zero),sK1(h,phi(f_left_zero))))
    | sPE(multiply(h,phi(f_left_zero),sK1(h,phi(f_left_zero))),multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(h,h)
    | ~ sPE(phi(f_left_zero),phi(f_left_zero))
    | ~ sPE(phi(sK0(sK1(h,phi(f_left_zero)))),sK1(h,phi(f_left_zero)))
    | sPE(multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))),multiply(h,phi(f_left_zero),sK1(h,phi(f_left_zero)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))),phi(multiply(f,f_left_zero,sK0(sK1(h,phi(f_left_zero))))))
    | ~ sPE(phi(multiply(f,f_left_zero,sK0(sK1(h,phi(f_left_zero))))),phi(f_left_zero))
    | sPE(multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))),phi(f_left_zero)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ group_member(f_left_zero,f)
    | ~ group_member(sK0(sK1(h,phi(f_left_zero))),f)
    | sPE(multiply(h,phi(f_left_zero),phi(sK0(sK1(h,phi(f_left_zero))))),phi(multiply(f,f_left_zero,sK0(sK1(h,phi(f_left_zero)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n028.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 Jun 13 12:15:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.31/0.63  % symbols: 11
% 2.31/0.63  % clauses: 21
% 2.31/0.63  % start clauses: 1
% 2.31/0.63  % iterative deepening steps: 403
% 2.31/0.63  % maximum path limit: 5
% 2.31/0.63  % literal attempts: 337712
% 2.31/0.63  % depth failures: 245544
% 2.31/0.63  % regularity failures: 5311
% 2.31/0.63  % tautology failures: 11012
% 2.31/0.63  % reductions: 44838
% 2.31/0.63  % extensions: 292658
% 2.31/0.63  % SAT variables: 45849
% 2.31/0.63  % SAT clauses: 48243
% 2.31/0.63  % WalkSAT solutions: 48240
% 2.31/0.63  % CDCL solutions: 1
% 2.31/0.63  % SZS status Theorem for theBenchmark
% 2.31/0.63  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------