TSTP Solution File: PUZ133+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : PUZ133+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 18:26:19 EDT 2022

% Result   : Theorem 27.88s 3.96s
% Output   : Proof 27.88s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    ~ queens_q,
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_sym)]) ).

cnf(g2,plain,
    ( le(sK0,n)
    | queens_q ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_q)]) ).

cnf(g3,plain,
    ( le(sK1,n)
    | queens_q ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_q)]) ).

cnf(g4,plain,
    ( le(s(n0),sK0)
    | queens_q ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_q)]) ).

cnf(g5,plain,
    ( le(s(sK0),sK1)
    | queens_q ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_q)]) ).

cnf(g6,plain,
    ( ~ le(s(sK0),sK1)
    | le(s(perm(sK1)),perm(sK0))
    | queens_q ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_q)]) ).

cnf(g7,plain,
    ( sPE(plus(q(sK0),sK0),plus(q(sK1),sK1))
    | sPE(minus(q(sK0),sK0),minus(q(sK1),sK1))
    | sPE(q(sK0),q(sK1))
    | queens_q ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_q)]) ).

cnf(g8,plain,
    ( ~ sPE(minus(p(perm(sK1)),perm(sK1)),minus(p(perm(sK0)),perm(sK0)))
    | ~ queens_p
    | ~ le(perm(sK1),n)
    | ~ le(perm(sK0),n)
    | ~ le(s(perm(sK1)),perm(sK0))
    | ~ le(s(n0),perm(sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_p)]) ).

cnf(g9,plain,
    sPE(q(sK1),p(perm(sK1))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_sym)]) ).

cnf(g10,plain,
    ( ~ sPE(p(perm(sK1)),p(perm(sK0)))
    | ~ queens_p
    | ~ le(perm(sK1),n)
    | ~ le(perm(sK0),n)
    | ~ le(s(perm(sK1)),perm(sK0))
    | ~ le(s(n0),perm(sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_p)]) ).

cnf(g11,plain,
    ( ~ sPE(plus(p(perm(sK1)),perm(sK1)),plus(p(perm(sK0)),perm(sK0)))
    | ~ queens_p
    | ~ le(perm(sK1),n)
    | ~ le(perm(sK0),n)
    | ~ le(s(perm(sK1)),perm(sK0))
    | ~ le(s(n0),perm(sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_p)]) ).

cnf(g12,plain,
    ( ~ le(sK0,n)
    | ~ le(s(n0),sK0)
    | le(perm(sK0),n) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',permutation_range)]) ).

cnf(g13,plain,
    ( ~ le(sK1,n)
    | ~ le(s(n0),sK1)
    | le(s(n0),perm(sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',permutation_range)]) ).

cnf(g14,plain,
    ( ~ le(s(perm(sK1)),perm(sK0))
    | ~ le(perm(sK0),n)
    | le(s(perm(sK1)),n) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',le_trans)]) ).

cnf(g15,plain,
    le(perm(sK1),s(perm(sK1))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_le)]) ).

cnf(g16,plain,
    sPE(q(sK0),p(perm(sK0))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',queens_sym)]) ).

cnf(g17,plain,
    sPE(sK1,sK1),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    le(sK0,s(sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_le)]) ).

cnf(g19,plain,
    sPE(perm(sK0),perm(sK0)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ le(s(n0),sK0)
    | ~ le(sK0,s(sK0))
    | le(s(n0),s(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',le_trans)]) ).

cnf(g21,plain,
    ( ~ sPE(q(sK1),q(sK0))
    | ~ sPE(q(sK0),p(perm(sK0)))
    | sPE(q(sK1),p(perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(q(sK0),q(sK1))
    | sPE(q(sK1),q(sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(q(sK1),p(perm(sK1)))
    | sPE(p(perm(sK1)),q(sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ sPE(q(sK1),p(perm(sK1)))
    | ~ sPE(sK1,sK1)
    | sPE(minus(q(sK1),sK1),minus(p(perm(sK1)),sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(minus(q(sK0),sK0),minus(q(sK1),sK1))
    | ~ sPE(minus(q(sK1),sK1),minus(p(perm(sK1)),sK1))
    | sPE(minus(q(sK0),sK0),minus(p(perm(sK1)),sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ le(s(n0),s(sK0))
    | ~ le(s(sK0),sK1)
    | le(s(n0),sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',le_trans)]) ).

cnf(g27,plain,
    ( ~ sPE(q(sK1),p(perm(sK1)))
    | ~ sPE(sK1,sK1)
    | sPE(plus(q(sK1),sK1),plus(p(perm(sK1)),sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ sPE(plus(q(sK0),sK0),plus(q(sK1),sK1))
    | ~ sPE(plus(q(sK1),sK1),plus(p(perm(sK1)),sK1))
    | sPE(plus(q(sK0),sK0),plus(p(perm(sK1)),sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ le(perm(sK1),s(perm(sK1)))
    | ~ le(s(perm(sK1)),n)
    | le(perm(sK1),n) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',le_trans)]) ).

cnf(g30,plain,
    ( ~ sPE(p(perm(sK1)),q(sK1))
    | ~ sPE(q(sK1),p(perm(sK0)))
    | sPE(p(perm(sK1)),p(perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ sPE(minus(p(perm(sK1)),perm(sK1)),minus(q(sK0),perm(sK0)))
    | ~ sPE(minus(q(sK0),perm(sK0)),minus(p(perm(sK0)),perm(sK0)))
    | sPE(minus(p(perm(sK1)),perm(sK1)),minus(p(perm(sK0)),perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    ( ~ sPE(q(sK0),p(perm(sK0)))
    | ~ sPE(perm(sK0),perm(sK0))
    | sPE(minus(q(sK0),perm(sK0)),minus(p(perm(sK0)),perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE(minus(q(sK0),perm(sK0)),minus(p(perm(sK1)),perm(sK1)))
    | sPE(minus(p(perm(sK1)),perm(sK1)),minus(q(sK0),perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ sPE(minus(q(sK0),p(perm(sK1))),minus(perm(sK0),perm(sK1)))
    | sPE(minus(q(sK0),perm(sK0)),minus(p(perm(sK1)),perm(sK1))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minus1)]) ).

cnf(g35,plain,
    ( ~ sPE(plus(p(perm(sK1)),perm(sK1)),plus(q(sK0),perm(sK0)))
    | ~ sPE(plus(q(sK0),perm(sK0)),plus(p(perm(sK0)),perm(sK0)))
    | sPE(plus(p(perm(sK1)),perm(sK1)),plus(p(perm(sK0)),perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ sPE(q(sK0),p(perm(sK0)))
    | ~ sPE(perm(sK0),perm(sK0))
    | sPE(plus(q(sK0),perm(sK0)),plus(p(perm(sK0)),perm(sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    ( ~ sPE(minus(p(perm(sK1)),q(sK0)),minus(perm(sK0),perm(sK1)))
    | sPE(plus(p(perm(sK1)),perm(sK1)),plus(q(sK0),perm(sK0))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1)]) ).

cnf(g38,plain,
    sPE(minus(sK1,sK0),minus(perm(sK0),perm(sK1))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',permutation_another_one)]) ).

cnf(g39,plain,
    ( ~ sPE(minus(q(sK0),sK0),minus(p(perm(sK1)),sK1))
    | sPE(minus(p(perm(sK1)),sK1),minus(q(sK0),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g40,plain,
    ( ~ sPE(minus(p(perm(sK1)),sK1),minus(q(sK0),sK0))
    | sPE(minus(p(perm(sK1)),q(sK0)),minus(sK1,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minus1)]) ).

cnf(g41,plain,
    ( ~ sPE(plus(q(sK0),sK0),plus(p(perm(sK1)),sK1))
    | sPE(minus(q(sK0),p(perm(sK1))),minus(sK1,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1)]) ).

cnf(g42,plain,
    ( ~ sPE(minus(p(perm(sK1)),q(sK0)),minus(sK1,sK0))
    | ~ sPE(minus(sK1,sK0),minus(perm(sK0),perm(sK1)))
    | sPE(minus(p(perm(sK1)),q(sK0)),minus(perm(sK0),perm(sK1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g43,plain,
    ( ~ sPE(minus(q(sK0),p(perm(sK1))),minus(sK1,sK0))
    | ~ sPE(minus(sK1,sK0),minus(perm(sK0),perm(sK1)))
    | sPE(minus(q(sK0),p(perm(sK1))),minus(perm(sK0),perm(sK1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : PUZ133+2 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % 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 : Sun May 29 01:56:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 27.88/3.96  % symbols: 15
% 27.88/3.96  % clauses: 33
% 27.88/3.96  % start clauses: 3
% 27.88/3.96  % iterative deepening steps: 3035
% 27.88/3.96  % maximum path limit: 5
% 27.88/3.96  % literal attempts: 9600752
% 27.88/3.96  % depth failures: 7202581
% 27.88/3.96  % regularity failures: 264675
% 27.88/3.96  % tautology failures: 409619
% 27.88/3.96  % reductions: 408186
% 27.88/3.96  % extensions: 9188482
% 27.88/3.96  % SAT variables: 495430
% 27.88/3.96  % SAT clauses: 674668
% 27.88/3.96  % WalkSAT solutions: 674663
% 27.88/3.96  % CDCL solutions: 2
% 27.88/3.96  % SZS status Theorem for theBenchmark
% 27.88/3.96  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------