TSTP Solution File: SWV157+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWV157+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 : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 08:38:49 EST 2010
% Result : Theorem 1.61s
% Output : Solution 1.61s
% 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/SystemOnTPTP23427/SWV157+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP23427/SWV157+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP23427/SWV157+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 23523
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.032 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(20, axiom,![X1]:![X2]:(leq(X1,pred(X2))<=>gt(X2,X1)),file('/tmp/SRASS.s.p', leq_gt_pred)).
% fof(37, axiom,![X15]:sum(n0,tptp_minus_1,X15)=n0,file('/tmp/SRASS.s.p', sum_plus_base)).
% fof(38, axiom,![X1]:![X2]:((leq(X1,X2)&~(X1=X2))=>gt(X2,X1)),file('/tmp/SRASS.s.p', leq_gt2)).
% fof(50, 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,pv47))=>(~(pv47=X18)=>a_select3(q,pv10,X18)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X18)),minus(a_select2(x,pv10),a_select2(mu,X18))),tptp_minus_2),times(a_select2(sigma,X18),a_select2(sigma,X18)))),a_select2(rho,X18)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X18))),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)))))))),file('/tmp/SRASS.s.p', cl5_nebula_norm_0007)).
% 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,pv47))=>(~(pv47=X18)=>a_select3(q,pv10,X18)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X18)),minus(a_select2(x,pv10),a_select2(mu,X18))),tptp_minus_2),times(a_select2(sigma,X18),a_select2(sigma,X18)))),a_select2(rho,X18)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X18))),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(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(140, plain,![X1]:![X2]:((~(leq(X1,pred(X2)))|gt(X2,X1))&(~(gt(X2,X1))|leq(X1,pred(X2)))),inference(fof_nnf,[status(thm)],[20])).
% fof(141, plain,![X3]:![X4]:((~(leq(X3,pred(X4)))|gt(X4,X3))&(~(gt(X4,X3))|leq(X3,pred(X4)))),inference(variable_rename,[status(thm)],[140])).
% cnf(142,plain,(leq(X1,pred(X2))|~gt(X2,X1)),inference(split_conjunct,[status(thm)],[141])).
% 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(263, plain,![X1]:![X2]:((~(leq(X1,X2))|X1=X2)|gt(X2,X1)),inference(fof_nnf,[status(thm)],[38])).
% fof(264, plain,![X3]:![X4]:((~(leq(X3,X4))|X3=X4)|gt(X4,X3)),inference(variable_rename,[status(thm)],[263])).
% cnf(265,plain,(gt(X1,X2)|X2=X1|~leq(X2,X1)),inference(split_conjunct,[status(thm)],[264])).
% fof(309, plain,![X16]:tptp_float_0_0=sum(n0,tptp_minus_1,X16),inference(variable_rename,[status(thm)],[50])).
% cnf(310,plain,(tptp_float_0_0=sum(n0,tptp_minus_1,X1)),inference(split_conjunct,[status(thm)],[309])).
% 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,pv47))&(~(pv47=X18)&~(a_select3(q,pv10,X18)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X18)),minus(a_select2(x,pv10),a_select2(mu,X18))),tptp_minus_2),times(a_select2(sigma,X18),a_select2(sigma,X18)))),a_select2(rho,X18)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X18))),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(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,pv47))&(~(pv47=X21)&~(a_select3(q,pv10,X21)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X21)),minus(a_select2(x,pv10),a_select2(mu,X21))),tptp_minus_2),times(a_select2(sigma,X21),a_select2(sigma,X21)))),a_select2(rho,X21)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X21))),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(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,pv47))&(~(pv47=esk24_0)&~(a_select3(q,pv10,esk24_0)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),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(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,pv47))&(~(pv47=esk24_0)&~(a_select3(q,pv10,esk24_0)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),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(shift_quantors,[status(thm)],[406])).
% cnf(408,negated_conjecture,(a_select3(q,pv10,esk24_0)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),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(split_conjunct,[status(thm)],[407])).
% cnf(409,negated_conjecture,(pv47!=esk24_0),inference(split_conjunct,[status(thm)],[407])).
% cnf(410,negated_conjecture,(leq(esk24_0,pv47)),inference(split_conjunct,[status(thm)],[407])).
% cnf(411,negated_conjecture,(leq(n0,esk24_0)),inference(split_conjunct,[status(thm)],[407])).
% cnf(416,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))))),inference(split_conjunct,[status(thm)],[407])).
% cnf(417,negated_conjecture,(a_select3(q,pv10,X1)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),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(X1,pred(pv47))|~leq(n0,X1)),inference(split_conjunct,[status(thm)],[407])).
% cnf(451,plain,(leq(X1,minus(X2,n1))|~gt(X2,X1)),inference(rw,[status(thm)],[142,111,theory(equality)]),['unfolding']).
% cnf(453,negated_conjecture,(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),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)))))=a_select3(q,pv10,X1)|~leq(n0,X1)|~leq(X1,minus(pv47,n1))),inference(rw,[status(thm)],[417,111,theory(equality)]),['unfolding']).
% cnf(478,plain,(n0=tptp_float_0_0),inference(rw,[status(thm)],[310,262,theory(equality)])).
% cnf(489,negated_conjecture,(leq(tptp_float_0_0,esk24_0)),inference(rw,[status(thm)],[411,478,theory(equality)])).
% cnf(558,negated_conjecture,(sum(tptp_float_0_0,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),inference(rw,[status(thm)],[416,478,theory(equality)])).
% cnf(763,negated_conjecture,(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),pv84)=a_select3(q,pv10,X1)|~leq(n0,X1)|~leq(X1,minus(pv47,n1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[453,478,theory(equality)]),558,theory(equality)])).
% cnf(764,negated_conjecture,(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),pv84)=a_select3(q,pv10,X1)|~leq(tptp_float_0_0,X1)|~leq(X1,minus(pv47,n1))),inference(rw,[status(thm)],[763,478,theory(equality)])).
% cnf(771,negated_conjecture,(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),pv84)!=a_select3(q,pv10,esk24_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[408,478,theory(equality)]),558,theory(equality)])).
% cnf(807,negated_conjecture,(pv47=esk24_0|gt(pv47,esk24_0)),inference(spm,[status(thm)],[265,410,theory(equality)])).
% cnf(815,negated_conjecture,(gt(pv47,esk24_0)),inference(sr,[status(thm)],[807,409,theory(equality)])).
% cnf(1776,negated_conjecture,(~leq(esk24_0,minus(pv47,n1))|~leq(tptp_float_0_0,esk24_0)),inference(spm,[status(thm)],[771,764,theory(equality)])).
% cnf(1777,negated_conjecture,(~leq(esk24_0,minus(pv47,n1))|$false),inference(rw,[status(thm)],[1776,489,theory(equality)])).
% cnf(1778,negated_conjecture,(~leq(esk24_0,minus(pv47,n1))),inference(cn,[status(thm)],[1777,theory(equality)])).
% cnf(6683,negated_conjecture,(~gt(pv47,esk24_0)),inference(spm,[status(thm)],[1778,451,theory(equality)])).
% cnf(6684,negated_conjecture,($false),inference(rw,[status(thm)],[6683,815,theory(equality)])).
% cnf(6685,negated_conjecture,($false),inference(cn,[status(thm)],[6684,theory(equality)])).
% cnf(6686,negated_conjecture,($false),6685,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 452
% # ...of these trivial : 0
% # ...subsumed : 0
% # ...remaining for further processing: 452
% # Other redundant clauses eliminated : 7
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 17
% # Generated clauses : 3628
% # ...of the previous two non-trivial : 3614
% # Contextual simplify-reflections : 0
% # Paramodulations : 3617
% # Factorizations : 2
% # Equation resolutions : 9
% # Current number of processed clauses: 218
% # Positive orientable unit clauses: 63
% # Positive unorientable unit clauses: 5
% # Negative unit clauses : 5
% # Non-unit-clauses : 145
% # Current number of unprocessed clauses: 3594
% # ...number of literals in the above : 24867
% # Clause-clause subsumption calls (NU) : 5204
% # Rec. Clause-clause subsumption calls : 1436
% # Unit Clause-clause subsumption calls : 189
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 31
% # Indexed BW rewrite successes : 18
% # Backwards rewriting index: 286 leaves, 1.26+/-1.402 terms/leaf
% # Paramod-from index: 96 leaves, 1.04+/-0.200 terms/leaf
% # Paramod-into index: 178 leaves, 1.16+/-0.688 terms/leaf
% # -------------------------------------------------
% # User time : 0.268 s
% # System time : 0.013 s
% # Total time : 0.281 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.49 CPU 0.57 WC
% FINAL PrfWatch: 0.49 CPU 0.57 WC
% SZS output end Solution for /tmp/SystemOnTPTP23427/SWV157+1.tptp
%
%------------------------------------------------------------------------------