TSTP Solution File: SWV159+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWV159+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 08:43:50 EST 2010

% Result   : Theorem 1.51s
% Output   : Solution 1.51s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP14127/SWV159+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP14127/SWV159+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14127/SWV159+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 14259
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:minus(X1,n1)=pred(X1),file('/tmp/SRASS.s.p', pred_minus_1)).
% fof(37, axiom,![X15]:sum(n0,tptp_minus_1,X15)=n0,file('/tmp/SRASS.s.p', sum_plus_base)).
% fof(51, axiom,![X15]:tptp_float_0_0=sum(n0,tptp_minus_1,X15),file('/tmp/SRASS.s.p', sum_plus_base_float)).
% fof(100, conjecture,(((((((pv84=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))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&![X4]:((leq(n0,X4)&leq(X4,pred(pv47)))=>a_select3(q,pv10,X4)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X4)),minus(a_select2(x,pv10),a_select2(mu,X4))),tptp_minus_2),times(a_select2(sigma,X4),a_select2(sigma,X4)))),a_select2(rho,X4)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X4))),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)))))))&![X10]:((leq(n0,X10)&leq(X10,pred(pv10)))=>sum(n0,n4,a_select3(q,X10,tptp_sum_index))=n1))=>![X18]:((leq(n0,X18)&leq(X18,pred(pv10)))=>(~(pv10=X18)=>sum(n0,n4,a_select3(q,X18,tptp_sum_index))=n1))),file('/tmp/SRASS.s.p', cl5_nebula_norm_0009)).
% fof(101, negated_conjecture,~((((((((pv84=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))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&![X4]:((leq(n0,X4)&leq(X4,pred(pv47)))=>a_select3(q,pv10,X4)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X4)),minus(a_select2(x,pv10),a_select2(mu,X4))),tptp_minus_2),times(a_select2(sigma,X4),a_select2(sigma,X4)))),a_select2(rho,X4)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X4))),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)))))))&![X10]:((leq(n0,X10)&leq(X10,pred(pv10)))=>sum(n0,n4,a_select3(q,X10,tptp_sum_index))=n1))=>![X18]:((leq(n0,X18)&leq(X18,pred(pv10)))=>(~(pv10=X18)=>sum(n0,n4,a_select3(q,X18,tptp_sum_index))=n1)))),inference(assume_negation,[status(cth)],[100])).
% fof(110, plain,![X2]:minus(X2,n1)=pred(X2),inference(variable_rename,[status(thm)],[3])).
% cnf(111,plain,(minus(X1,n1)=pred(X1)),inference(split_conjunct,[status(thm)],[110])).
% fof(261, plain,![X16]:sum(n0,tptp_minus_1,X16)=n0,inference(variable_rename,[status(thm)],[37])).
% cnf(262,plain,(sum(n0,tptp_minus_1,X1)=n0),inference(split_conjunct,[status(thm)],[261])).
% fof(312, plain,![X16]:tptp_float_0_0=sum(n0,tptp_minus_1,X16),inference(variable_rename,[status(thm)],[51])).
% cnf(313,plain,(tptp_float_0_0=sum(n0,tptp_minus_1,X1)),inference(split_conjunct,[status(thm)],[312])).
% fof(404, negated_conjecture,(((((((pv84=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))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&![X4]:((~(leq(n0,X4))|~(leq(X4,pred(pv47))))|a_select3(q,pv10,X4)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X4)),minus(a_select2(x,pv10),a_select2(mu,X4))),tptp_minus_2),times(a_select2(sigma,X4),a_select2(sigma,X4)))),a_select2(rho,X4)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X4))),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)))))))&![X10]:((~(leq(n0,X10))|~(leq(X10,pred(pv10))))|sum(n0,n4,a_select3(q,X10,tptp_sum_index))=n1))&?[X18]:((leq(n0,X18)&leq(X18,pred(pv10)))&(~(pv10=X18)&~(sum(n0,n4,a_select3(q,X18,tptp_sum_index))=n1)))),inference(fof_nnf,[status(thm)],[101])).
% fof(405, negated_conjecture,(((((((pv84=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))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&![X19]:((~(leq(n0,X19))|~(leq(X19,pred(pv47))))|a_select3(q,pv10,X19)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X19)),minus(a_select2(x,pv10),a_select2(mu,X19))),tptp_minus_2),times(a_select2(sigma,X19),a_select2(sigma,X19)))),a_select2(rho,X19)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X19))),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)))))))&![X20]:((~(leq(n0,X20))|~(leq(X20,pred(pv10))))|sum(n0,n4,a_select3(q,X20,tptp_sum_index))=n1))&?[X21]:((leq(n0,X21)&leq(X21,pred(pv10)))&(~(pv10=X21)&~(sum(n0,n4,a_select3(q,X21,tptp_sum_index))=n1)))),inference(variable_rename,[status(thm)],[404])).
% fof(406, negated_conjecture,(((((((pv84=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))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&![X19]:((~(leq(n0,X19))|~(leq(X19,pred(pv47))))|a_select3(q,pv10,X19)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X19)),minus(a_select2(x,pv10),a_select2(mu,X19))),tptp_minus_2),times(a_select2(sigma,X19),a_select2(sigma,X19)))),a_select2(rho,X19)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X19))),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)))))))&![X20]:((~(leq(n0,X20))|~(leq(X20,pred(pv10))))|sum(n0,n4,a_select3(q,X20,tptp_sum_index))=n1))&((leq(n0,esk24_0)&leq(esk24_0,pred(pv10)))&(~(pv10=esk24_0)&~(sum(n0,n4,a_select3(q,esk24_0,tptp_sum_index))=n1)))),inference(skolemize,[status(esa)],[405])).
% fof(407, negated_conjecture,![X19]:![X20]:((((~(leq(n0,X20))|~(leq(X20,pred(pv10))))|sum(n0,n4,a_select3(q,X20,tptp_sum_index))=n1)&(((~(leq(n0,X19))|~(leq(X19,pred(pv47))))|a_select3(q,pv10,X19)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X19)),minus(a_select2(x,pv10),a_select2(mu,X19))),tptp_minus_2),times(a_select2(sigma,X19),a_select2(sigma,X19)))),a_select2(rho,X19)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X19))),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))))))&((((pv84=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))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))))&((leq(n0,esk24_0)&leq(esk24_0,pred(pv10)))&(~(pv10=esk24_0)&~(sum(n0,n4,a_select3(q,esk24_0,tptp_sum_index))=n1)))),inference(shift_quantors,[status(thm)],[406])).
% cnf(408,negated_conjecture,(sum(n0,n4,a_select3(q,esk24_0,tptp_sum_index))!=n1),inference(split_conjunct,[status(thm)],[407])).
% cnf(410,negated_conjecture,(leq(esk24_0,pred(pv10))),inference(split_conjunct,[status(thm)],[407])).
% cnf(411,negated_conjecture,(leq(n0,esk24_0)),inference(split_conjunct,[status(thm)],[407])).
% cnf(418,negated_conjecture,(sum(n0,n4,a_select3(q,X1,tptp_sum_index))=n1|~leq(X1,pred(pv10))|~leq(n0,X1)),inference(split_conjunct,[status(thm)],[407])).
% cnf(450,negated_conjecture,(leq(esk24_0,minus(pv10,n1))),inference(rw,[status(thm)],[410,111,theory(equality)]),['unfolding']).
% cnf(453,negated_conjecture,(sum(n0,n4,a_select3(q,X1,tptp_sum_index))=n1|~leq(n0,X1)|~leq(X1,minus(pv10,n1))),inference(rw,[status(thm)],[418,111,theory(equality)]),['unfolding']).
% cnf(479,plain,(n0=tptp_float_0_0),inference(rw,[status(thm)],[313,262,theory(equality)])).
% cnf(480,negated_conjecture,(sum(tptp_float_0_0,n4,a_select3(q,esk24_0,tptp_sum_index))!=n1),inference(rw,[status(thm)],[408,479,theory(equality)])).
% cnf(491,negated_conjecture,(leq(tptp_float_0_0,esk24_0)),inference(rw,[status(thm)],[411,479,theory(equality)])).
% cnf(515,negated_conjecture,(sum(tptp_float_0_0,n4,a_select3(q,X1,tptp_sum_index))=n1|~leq(n0,X1)|~leq(X1,minus(pv10,n1))),inference(rw,[status(thm)],[453,479,theory(equality)])).
% cnf(516,negated_conjecture,(sum(tptp_float_0_0,n4,a_select3(q,X1,tptp_sum_index))=n1|~leq(tptp_float_0_0,X1)|~leq(X1,minus(pv10,n1))),inference(rw,[status(thm)],[515,479,theory(equality)])).
% cnf(1054,negated_conjecture,(~leq(esk24_0,minus(pv10,n1))|~leq(tptp_float_0_0,esk24_0)),inference(spm,[status(thm)],[480,516,theory(equality)])).
% cnf(1055,negated_conjecture,($false|~leq(tptp_float_0_0,esk24_0)),inference(rw,[status(thm)],[1054,450,theory(equality)])).
% cnf(1056,negated_conjecture,($false|$false),inference(rw,[status(thm)],[1055,491,theory(equality)])).
% cnf(1057,negated_conjecture,($false),inference(cn,[status(thm)],[1056,theory(equality)])).
% cnf(1058,negated_conjecture,($false),1057,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 331
% # ...of these trivial                : 0
% # ...subsumed                        : 0
% # ...remaining for further processing: 331
% # Other redundant clauses eliminated : 3
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 0
% # Backward-rewritten                 : 18
% # Generated clauses                  : 237
% # ...of the previous two non-trivial : 230
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 231
% # Factorizations                     : 2
% # Equation resolutions               : 4
% # Current number of processed clauses: 96
% #    Positive orientable unit clauses: 60
% #    Positive unorientable unit clauses: 4
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 28
% # Current number of unprocessed clauses: 331
% # ...number of literals in the above : 1164
% # Clause-clause subsumption calls (NU) : 2644
% # Rec. Clause-clause subsumption calls : 755
% # Unit Clause-clause subsumption calls : 189
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 30
% # Indexed BW rewrite successes       : 20
% # Backwards rewriting index:   120 leaves,   1.17+/-0.711 terms/leaf
% # Paramod-from index:           80 leaves,   1.04+/-0.190 terms/leaf
% # Paramod-into index:          114 leaves,   1.11+/-0.473 terms/leaf
% # -------------------------------------------------
% # User time              : 0.066 s
% # System time            : 0.006 s
% # Total time             : 0.072 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.19 CPU 0.25 WC
% FINAL PrfWatch: 0.19 CPU 0.26 WC
% SZS output end Solution for /tmp/SystemOnTPTP14127/SWV159+1.tptp
% 
%------------------------------------------------------------------------------