TSTP Solution File: SWV164+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n022.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 : Wed Jul 20 21:27:44 EDT 2022

% Result   : Theorem 117.43s 16.09s
% Output   : Proof 117.93s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    leq(n0,sK27),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0014)]) ).

cnf(g1,plain,
    leq(sK27,tptp_minus_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0014)]) ).

cnf(g2,plain,
    ~ sPE(a_select3(q,pv10,sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0014)]) ).

cnf(g3,plain,
    ( ~ leq(n0,sK27)
    | sPE(n0,sK27)
    | gt(sK27,n0) ),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',leq_gt2)]) ).

cnf(g4,plain,
    ( ~ leq(sK27,tptp_minus_1)
    | gt(succ(tptp_minus_1),sK27) ),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',leq_succ_gt_equiv)]) ).

cnf(g5,plain,
    ( ~ sPE(plus(n5,sK27),succ(succ(succ(succ(succ(sK27))))))
    | ~ sPE(a_select3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27)))))),sK27)
    | sPE(a_select3(q,pv10,sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))
    | sPE(a_select3(tptp_update3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),a_select3(q,pv10,sK27),plus(n5,sK27),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27)))))),sK27) ),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',sel3_update_2)]) ).

cnf(g6,plain,
    sPE(a_select3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27)))))),sK27),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',sel3_update_1)]) ).

cnf(g7,plain,
    sPE(plus(n5,sK27),succ(succ(succ(succ(succ(sK27)))))),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',succ_plus_5_l)]) ).

cnf(g8,plain,
    ( ~ sPE(a_select3(tptp_update3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),a_select3(q,pv10,sK27),plus(n5,sK27),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27)))))),sK27)
    | sPE(sK27,a_select3(tptp_update3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),a_select3(q,pv10,sK27),plus(n5,sK27),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(sK27,a_select3(tptp_update3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),a_select3(q,pv10,sK27),plus(n5,sK27),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27)))))))
    | ~ sPE(a_select3(tptp_update3(tptp_update3(sK27,divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27))))),sK27),a_select3(q,pv10,sK27),plus(n5,sK27),sK27),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK27)),minus(a_select2(x,pv10),a_select2(mu,sK27))),tptp_minus_2),times(a_select2(sigma,sK27),a_select2(sigma,sK27)))),a_select2(rho,sK27)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK27))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),succ(succ(succ(succ(succ(sK27)))))),sK27)
    | sPE(sK27,sK27) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(succ(tptp_minus_1),n0),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',succ_tptp_minus_1)]) ).

cnf(g11,plain,
    ( ~ gt(sK27,n0)
    | ~ gt(n0,sK27)
    | gt(sK27,sK27) ),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',transitivity_gt)]) ).

cnf(g12,plain,
    ~ gt(sK27,sK27),
    inference(ground_cnf,[],[file('Axioms/SWV003+0.ax',irreflexivity_gt)]) ).

cnf(g13,plain,
    ( ~ sPE(succ(tptp_minus_1),n0)
    | ~ sPE(sK27,sK27)
    | ~ gt(succ(tptp_minus_1),sK27)
    | gt(n0,sK27) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(n0,sK27)
    | ~ sPE(sK27,sK27)
    | ~ gt(n0,sK27)
    | gt(sK27,sK27) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.15  % Command  : satcop --statistics %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 01:17:32 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 117.43/16.09  % symbols: 81
% 117.43/16.09  % clauses: 228
% 117.43/16.09  % start clauses: 6
% 117.43/16.09  % iterative deepening steps: 2133
% 117.43/16.09  % maximum path limit: 3
% 117.43/16.09  % literal attempts: 44348875
% 117.43/16.09  % depth failures: 42759992
% 117.43/16.09  % regularity failures: 21379
% 117.43/16.09  % tautology failures: 5760935
% 117.43/16.09  % reductions: 1077282
% 117.43/16.09  % extensions: 43266445
% 117.43/16.09  % SAT variables: 635065
% 117.43/16.09  % SAT clauses: 781225
% 117.43/16.09  % WalkSAT solutions: 781216
% 117.43/16.09  % CDCL solutions: 7
% 117.43/16.09  % SZS status Theorem for theBenchmark
% 117.43/16.09  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------