%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV098+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 18:15:11 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 93 ( 48 unt; 0 def)
% Number of atoms : 712 ( 558 equ)
% Maximal formula atoms : 142 ( 7 avg)
% Number of connectives : 1020 ( 401 ~; 394 |; 213 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0010,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pv5) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X4,X20) = use
& a_select3(z_defuse,X4,X20) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n2)
& leq(X22,minus(plus(n1,pv5),n1)) )
=> ( a_select3(u_defuse,X21,X22) = use
& a_select3(z_defuse,X21,X22) = use ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_inuse_0010) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(c_0_5,plain,
( epred1_0
<=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pv5) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X4,X20) = use
& a_select3(z_defuse,X4,X20) = use ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pv5) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X4,X20) = use
& a_select3(z_defuse,X4,X20) = use ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
~ ( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n2)
& leq(X22,minus(plus(n1,pv5),n1)) )
=> ( a_select3(u_defuse,X21,X22) = use
& a_select3(z_defuse,X21,X22) = use ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0010]),c_0_5]) ).
fof(c_0_8,plain,
! [X21,X22,X23,X24] :
( ( a_select2(rho_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 )
& ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred1_0 )
& ( a_select3(u_defuse,X21,X22) = use
| ~ leq(n0,X21)
| ~ leq(n0,X22)
| ~ leq(X21,n2)
| ~ leq(X22,pv5)
| ~ epred1_0 )
& ( a_select3(z_defuse,X21,X22) = use
| ~ leq(n0,X21)
| ~ leq(n0,X22)
| ~ leq(X21,n2)
| ~ leq(X22,pv5)
| ~ epred1_0 )
& ( a_select3(u_defuse,X23,X24) = use
| ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n2)
| ~ leq(X24,minus(pv5,n1))
| ~ epred1_0 )
& ( a_select3(z_defuse,X23,X24) = use
| ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n2)
| ~ leq(X24,minus(pv5,n1))
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])]) ).
fof(c_0_9,negated_conjecture,
( epred1_0
& ( leq(n0,esk1_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( leq(n0,esk2_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( leq(esk1_0,n2)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( leq(esk2_0,minus(plus(n1,pv5),n1))
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_10,plain,
( a_select2(rho_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( a_select2(rho_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
a_select2(rho_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_15,plain,
a_select2(rho_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_16,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,plain,
( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,plain,
( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,plain,
( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,plain,
( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,plain,
( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,plain,
( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,plain,
( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_42,plain,
a_select2(rho_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11])]) ).
cnf(c_0_43,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_11])]) ).
cnf(c_0_44,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_11])]) ).
cnf(c_0_45,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11])]) ).
cnf(c_0_46,plain,
a_select2(sigma_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_11])]) ).
cnf(c_0_47,plain,
a_select2(sigma_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11])]) ).
cnf(c_0_48,plain,
a_select2(sigma_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_11])]) ).
cnf(c_0_49,plain,
a_select2(sigma_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_11])]) ).
cnf(c_0_50,plain,
a_select2(sigma_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_11])]) ).
cnf(c_0_51,plain,
a_select2(sigma_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_11])]) ).
cnf(c_0_52,plain,
a_select2(xinit_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_11])]) ).
cnf(c_0_53,plain,
a_select2(xinit_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_11])]) ).
cnf(c_0_54,plain,
a_select2(xinit_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_11])]) ).
cnf(c_0_55,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_11])]) ).
cnf(c_0_56,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_11])]) ).
cnf(c_0_57,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_11])]) ).
cnf(c_0_58,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_11])]) ).
cnf(c_0_59,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_11])]) ).
cnf(c_0_60,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_11])]) ).
cnf(c_0_61,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_11])]) ).
cnf(c_0_62,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_11])]) ).
cnf(c_0_63,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_11])]) ).
cnf(c_0_64,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_11])]) ).
cnf(c_0_65,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_11])]) ).
cnf(c_0_66,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_11])]) ).
cnf(c_0_67,plain,
( a_select3(u_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_68,negated_conjecture,
( leq(esk1_0,n2)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_69,negated_conjecture,
( leq(n0,esk1_0)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_70,negated_conjecture,
( leq(n0,esk2_0)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_71,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_72,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_73,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_74,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_75,negated_conjecture,
( a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_76,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(X1,n2)
| ~ leq(X2,pv5)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_11])]) ).
cnf(c_0_77,negated_conjecture,
leq(esk1_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_14]),c_0_15]),c_0_42]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_78,negated_conjecture,
leq(n0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_14]),c_0_15]),c_0_42]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_79,negated_conjecture,
leq(n0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_14]),c_0_15]),c_0_42]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_80,plain,
( a_select3(z_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_81,negated_conjecture,
( leq(esk2_0,minus(plus(n1,pv5),n1))
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_82,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_83,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_84,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( a_select3(z_defuse,esk1_0,esk2_0) != use
| ~ leq(esk2_0,pv5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_87,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(X1,n2)
| ~ leq(X2,pv5)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_11])]) ).
cnf(c_0_88,negated_conjecture,
leq(esk2_0,minus(plus(n1,pv5),n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_14]),c_0_15]),c_0_42]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_89,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_83]),c_0_85]) ).
cnf(c_0_91,plain,
~ leq(esk2_0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV098+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.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 : Wed Jun 15 21:43:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.031 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 93
% 0.23/1.42 # Proof object clause steps : 79
% 0.23/1.42 # Proof object formula steps : 14
% 0.23/1.42 # Proof object conjectures : 16
% 0.23/1.42 # Proof object clause conjectures : 13
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 39
% 0.23/1.42 # Proof object initial formulas used : 5
% 0.23/1.42 # Proof object generating inferences : 2
% 0.23/1.42 # Proof object simplifying inferences : 214
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 92
% 0.23/1.42 # Removed by relevancy pruning/SinE : 24
% 0.23/1.42 # Initial clauses : 109
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 107
% 0.23/1.42 # Processed clauses : 486
% 0.23/1.42 # ...of these trivial : 33
% 0.23/1.42 # ...subsumed : 104
% 0.23/1.42 # ...remaining for further processing : 348
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 0
% 0.23/1.42 # Backward-rewritten : 2
% 0.23/1.42 # Generated clauses : 1120
% 0.23/1.42 # ...of the previous two non-trivial : 825
% 0.23/1.42 # Contextual simplify-reflections : 12
% 0.23/1.42 # Paramodulations : 1118
% 0.23/1.42 # Factorizations : 2
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 346
% 0.23/1.42 # Positive orientable unit clauses : 136
% 0.23/1.42 # Positive unorientable unit clauses: 5
% 0.23/1.42 # Negative unit clauses : 68
% 0.23/1.42 # Non-unit-clauses : 137
% 0.23/1.42 # Current number of unprocessed clauses: 444
% 0.23/1.42 # ...number of literals in the above : 1099
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 4
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 2998
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 1116
% 0.23/1.42 # Non-unit clause-clause subsumptions : 40
% 0.23/1.42 # Unit Clause-clause subsumption calls : 1496
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 18
% 0.23/1.42 # BW rewrite match successes : 16
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 15358
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.104 s
% 0.23/1.42 # System time : 0.006 s
% 0.23/1.42 # Total time : 0.110 s
% 0.23/1.42 # Maximum resident set size: 4584 pages
%------------------------------------------------------------------------------