TSTP Solution File: ALG063+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : ALG063+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 : Thu Jul 14 17:58:28 EDT 2022

% Result   : Theorem 5.24s 1.02s
% Output   : Proof 5.24s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e1,e1),e0)
    | sPE(op(e2,e2),e0)
    | sPE(op(e3,e3),e0)
    | sPE(op(e4,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g1,plain,
    ( sPE(op(e0,e0),e1)
    | sPE(op(e1,e1),e1)
    | sPE(op(e2,e2),e1)
    | sPE(op(e3,e3),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g2,plain,
    ( sPE(op(e0,e0),e0)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g3,plain,
    ( ~ sPE(op(e0,e0),e0)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g4,plain,
    ( ~ sPE(op(e4,e4),e0)
    | sPE(e0,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(op(e4,e4),e1)
    | sPE(e1,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ sPE(op(e4,e4),e2)
    | ~ sPE(e2,e0)
    | sPE(op(e4,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(op(e1,e1),e4)
    | ~ sPE(op(e1,e1),e4)
    | sPE(op(op(e1,e1),op(e1,e1)),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( sPE(op(e3,e3),e4)
    | ~ sP18 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g10,plain,
    ( sPE(op(e4,e4),e3)
    | ~ sP18 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g11,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sP17 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g12,plain,
    ( sPE(op(e3,e3),e3)
    | ~ sP17 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g13,plain,
    ( sPE(op(e1,e1),e2)
    | ~ sP10 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g14,plain,
    ( sPE(op(e3,e3),e2)
    | ~ sP12 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g15,plain,
    ( sPE(op(e2,e2),e4)
    | ~ sP13 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g16,plain,
    ( sPE(op(e2,e2),e4)
    | ~ sP21 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g17,plain,
    ( sPE(op(e3,e3),e1)
    | ~ sP7 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g18,plain,
    ( sPE(op(e3,e3),e0)
    | ~ sP2 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g19,plain,
    ( sPE(op(e2,e2),e0)
    | ~ sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g20,plain,
    ( sPE(op(e3,e3),e0)
    | ~ sP14 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g21,plain,
    ( sPE(op(e2,e2),e2)
    | ~ sP11 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g22,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sP11 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g23,plain,
    ( sPE(op(e3,e3),e4)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g24,plain,
    ( sPE(op(e4,e4),e3)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g25,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(op(e0,e0),e0)
    | sPE(e0,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( sPE(op(e4,e4),e0)
    | ~ sP3 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g28,plain,
    ( sPE(op(e3,e3),e1)
    | ~ sP15 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g29,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sP5 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g30,plain,
    ( sPE(op(e1,e1),e1)
    | ~ sP5 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g31,plain,
    ( sPE(op(e4,e4),e1)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g32,plain,
    ( sPE(op(e3,e3),e2)
    | ~ sP16 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g33,plain,
    ( sPE(op(e1,e1),e0)
    | ~ sP4 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g34,plain,
    ( sPE(op(e1,e1),e2)
    | ~ sP6 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g35,plain,
    ( ~ sPE(op(e1,e1),e0)
    | sPE(e0,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    ( ~ sPE(op(e3,e3),e4)
    | sPE(e4,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sP23 ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g39,plain,
    ( sPE(op(e4,e4),e4)
    | ~ sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g40,plain,
    ( sPE(op(e2,e2),e0)
    | ~ sP9 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g41,plain,
    ( sPE(op(e1,e1),e3)
    | ~ sP7 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g42,plain,
    ( sPE(op(e1,e1),e3)
    | ~ sP15 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g43,plain,
    ( sPE(op(e0,e0),e3)
    | ~ sP14 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g44,plain,
    ( sPE(op(e1,e1),e0)
    | ~ sP0 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g45,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(op(e1,e1),e1)
    | sPE(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g46,plain,
    ( ~ sPE(op(e3,e3),e2)
    | sPE(e2,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g47,plain,
    ( ~ sPE(op(e4,e4),e3)
    | sPE(e3,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g48,plain,
    ( sPE(op(e4,e4),e0)
    | ~ sP19 ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g49,plain,
    ( sPE(op(e0,e0),e3)
    | ~ sP2 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g50,plain,
    ( sPE(op(e4,e4),e1)
    | ~ sP8 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g51,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g52,plain,
    ( ~ sPE(op(e3,e3),e0)
    | sPE(e0,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g53,plain,
    ( ~ sPE(op(e1,e1),e4)
    | ~ sPE(e4,e0)
    | sPE(op(e1,e1),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g54,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(op(e1,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g55,plain,
    ( ~ sPE(op(e2,e2),e1)
    | sPE(e1,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g56,plain,
    ( ~ sPE(op(e1,e1),e2)
    | sPE(e2,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g57,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g58,plain,
    ( ~ sPE(op(e3,e3),e1)
    | sPE(e1,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g59,plain,
    sPE(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g60,plain,
    ( ~ sPE(op(e0,e0),e3)
    | sPE(e3,op(e0,e0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6)]) ).

cnf(g61,plain,
    ~ sPE(e1,e2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g62,plain,
    ( ~ sPE(e2,op(e4,e4))
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g63,plain,
    ( ~ sPE(e3,op(e2,e2))
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g64,plain,
    sPE(e4,op(e1,e1)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g65,plain,
    ( ~ sPE(e4,op(e1,e1))
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g66,plain,
    ( ~ sPE(e1,op(e3,e3))
    | ~ sPE(op(e3,e3),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g67,plain,
    ( ~ sPE(e2,op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g68,plain,
    sPE(e2,op(op(e1,e1),op(e1,e1))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g69,plain,
    ~ sPE(e0,e4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g70,plain,
    ( ~ sPE(e4,op(e1,e1))
    | ~ sPE(op(e1,e1),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g71,plain,
    ( ~ sPE(e4,e3)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g72,plain,
    ~ sPE(op(e2,e2),op(e3,e2)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g73,plain,
    ( ~ sPE(e3,op(e2,e2))
    | ~ sPE(op(e2,e2),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g74,plain,
    ( ~ sPE(e4,op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g75,plain,
    ( ~ sPE(e1,op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g76,plain,
    ( ~ sPE(e2,op(op(e1,e1),op(e1,e1)))
    | ~ sPE(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | sPE(e2,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g77,plain,
    ( ~ sPE(e2,op(e1,e1))
    | ~ sPE(op(e1,e1),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g78,plain,
    ( ~ sPE(e2,op(op(e1,e1),op(e1,e1)))
    | ~ sPE(op(op(e1,e1),op(e1,e1)),op(e4,e4))
    | sPE(e2,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g79,plain,
    ( ~ sPE(e3,e2)
    | ~ sPE(e2,e2)
    | sPE(op(e3,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g80,plain,
    ~ sPE(e0,e2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g81,plain,
    ~ sPE(e0,e1),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g82,plain,
    ~ sPE(e3,e4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g83,plain,
    ( ~ sPE(e3,e0)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g84,plain,
    ~ sPE(e0,e3),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g85,plain,
    ( ~ sPE(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))
    | ~ sPE(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2))
    | sPE(e3,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g86,plain,
    ( ~ sPE(op(op(e1,e1),op(e1,e1)),e2)
    | ~ sPE(op(op(e1,e1),op(e1,e1)),e2)
    | sPE(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g87,plain,
    ( ~ sPE(e3,op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g88,plain,
    ( ~ sPE(e1,op(e2,e2))
    | ~ sPE(op(e2,e2),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g89,plain,
    ( ~ sPE(op(op(e1,e1),op(e1,e1)),op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(op(op(e1,e1),op(e1,e1)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g90,plain,
    sPE(e2,e2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g91,plain,
    ~ sPE(e2,e4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g92,plain,
    ( ~ sPE(e3,op(e2,e2))
    | ~ sPE(op(e2,e2),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g93,plain,
    ( ~ sPE(op(e3,e2),op(e2,e2))
    | sPE(op(e2,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g94,plain,
    ( ~ sPE(e3,op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g95,plain,
    ( ~ sPE(e3,e1)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g96,plain,
    ~ sPE(op(e0,e1),op(e0,e3)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g97,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(e1,e3)
    | sPE(op(e0,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG063+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 01:54:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 5.24/1.02  % symbols: 33
% 5.24/1.02  % clauses: 284
% 5.24/1.02  % start clauses: 8
% 5.24/1.02  % iterative deepening steps: 299
% 5.24/1.02  % maximum path limit: 3
% 5.24/1.02  % literal attempts: 126435
% 5.24/1.02  % depth failures: 84807
% 5.24/1.02  % regularity failures: 2744
% 5.24/1.02  % tautology failures: 9958
% 5.24/1.02  % reductions: 2591
% 5.24/1.02  % extensions: 122000
% 5.24/1.02  % SAT variables: 15310
% 5.24/1.02  % SAT clauses: 25750
% 5.24/1.02  % WalkSAT solutions: 24969
% 5.24/1.02  % CDCL solutions: 765
% 5.24/1.02  % SZS status Theorem for theBenchmark
% 5.24/1.02  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------