%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV098+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:53:43 PM UTC 2026
% Result : Theorem 0.13s 5.60s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 44 unt; 0 def)
% Number of atoms : 753 ( 587 equ)
% Maximal formula atoms : 142 ( 8 avg)
% Number of connectives : 1038 ( 373 ~; 367 |; 282 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 7 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 : 44 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0010,conjecture,
( ( ! [X4,X20] :
( ( leq(X20,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X20) = use
& a_select3(u_defuse,X4,X20) = use ) )
& ! [X14,X18] :
( ( leq(X18,pv5)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> ( a_select3(z_defuse,X14,X18) = use
& a_select3(u_defuse,X14,X18) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 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 )
=> ( ! [X21,X22] :
( ( leq(X22,minus(plus(n1,pv5),n1))
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> ( a_select3(z_defuse,X21,X22) = use
& a_select3(u_defuse,X21,X22) = use ) )
& 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
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(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(c_0_4,plain,
( epred1_0
<=> ( ! [X4,X20] :
( ( leq(X20,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X20) = use
& a_select3(u_defuse,X4,X20) = use ) )
& ! [X14,X18] :
( ( leq(X18,pv5)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> ( a_select3(z_defuse,X14,X18) = use
& a_select3(u_defuse,X14,X18) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 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 ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
~ ( ( ! [X4,X20] :
( ( leq(X20,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X20) = use
& a_select3(u_defuse,X4,X20) = use ) )
& ! [X14,X18] :
( ( leq(X18,pv5)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> ( a_select3(z_defuse,X14,X18) = use
& a_select3(u_defuse,X14,X18) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 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 )
=> ( ! [X21,X22] :
( ( leq(X22,minus(plus(n1,pv5),n1))
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> ( a_select3(z_defuse,X21,X22) = use
& a_select3(u_defuse,X21,X22) = use ) )
& 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(assume_negation,[status(cth)],[quaternion_ds1_inuse_0010]) ).
fof(c_0_6,plain,
( epred1_0
=> ( ! [X4,X20] :
( ( leq(X20,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X20) = use
& a_select3(u_defuse,X4,X20) = use ) )
& ! [X14,X18] :
( ( leq(X18,pv5)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> ( a_select3(z_defuse,X14,X18) = use
& a_select3(u_defuse,X14,X18) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 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_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
~ ( epred1_0
=> ( ! [X21,X22] :
( ( leq(X22,minus(plus(n1,pv5),n1))
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> ( a_select3(z_defuse,X21,X22) = use
& a_select3(u_defuse,X21,X22) = use ) )
& 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(apply_def,[status(thm)],[c_0_5,c_0_4]) ).
fof(c_0_8,plain,
! [X76,X77,X78,X79] :
( ( ~ epred1_0
| ~ leq(X79,minus(pv5,n1))
| ~ leq(X78,n2)
| ~ leq(n0,X79)
| ~ leq(n0,X78)
| a_select3(z_defuse,X78,X79) = use )
& ( ~ epred1_0
| ~ leq(X79,minus(pv5,n1))
| ~ leq(X78,n2)
| ~ leq(n0,X79)
| ~ leq(n0,X78)
| a_select3(u_defuse,X78,X79) = use )
& ( ~ epred1_0
| ~ leq(X77,pv5)
| ~ leq(X76,n2)
| ~ leq(n0,X77)
| ~ leq(n0,X76)
| a_select3(z_defuse,X76,X77) = use )
& ( ~ epred1_0
| ~ leq(X77,pv5)
| ~ leq(X76,n2)
| ~ leq(n0,X77)
| ~ leq(n0,X76)
| a_select3(u_defuse,X76,X77) = use )
& ( ~ epred1_0
| leq(pv5,minus(n999,n1)) )
& ( ~ epred1_0
| leq(n0,pv5) )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n3) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n0) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n3) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n0) = use )
& ( ~ epred1_0
| a_select2(xinit_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(xinit_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(xinit_defuse,n3) = use )
& ( ~ epred1_0
| a_select3(u_defuse,n2,n0) = use )
& ( ~ epred1_0
| a_select3(u_defuse,n1,n0) = use )
& ( ~ epred1_0
| a_select3(u_defuse,n0,n0) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n3) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n0) = use )
& ( ~ epred1_0
| a_select2(rho_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(rho_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(rho_defuse,n0) = use ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ( 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 )
& ( 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
| 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
| 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
| 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
| leq(n0,esk1_0) )
& epred1_0 ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_10,plain,
! [X74] : pred(succ(X74)) = X74,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_11,plain,
! [X47] : minus(X47,n1) = pred(X47),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_12,plain,
( ~ epred1_0
| a_select2(rho_defuse,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ epred1_0
| a_select2(rho_defuse,n1) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ epred1_0
| a_select2(rho_defuse,n2) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n1) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n2) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n3) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n4) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n5) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( ~ epred1_0
| a_select2(xinit_defuse,n3) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( ~ epred1_0
| a_select2(xinit_defuse,n4) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,plain,
( ~ epred1_0
| a_select2(xinit_defuse,n5) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n1) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n2) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n3) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n4) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n5) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n1) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n2) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n3) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n4) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n5) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,plain,
( ~ epred1_0
| a_select3(u_defuse,n0,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,plain,
( ~ epred1_0
| a_select3(u_defuse,n1,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
( ~ epred1_0
| a_select3(u_defuse,n2,n0) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_40,plain,
! [X56] : plus(n1,X56) = succ(X56),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_41,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,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_44,plain,
a_select2(rho_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_45,plain,
a_select2(rho_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13])]) ).
cnf(c_0_46,plain,
a_select2(rho_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13])]) ).
cnf(c_0_47,plain,
a_select2(sigma_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]) ).
cnf(c_0_48,plain,
a_select2(sigma_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13])]) ).
cnf(c_0_49,plain,
a_select2(sigma_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13])]) ).
cnf(c_0_50,plain,
a_select2(sigma_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_13])]) ).
cnf(c_0_51,plain,
a_select2(sigma_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13])]) ).
cnf(c_0_52,plain,
a_select2(sigma_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_13])]) ).
cnf(c_0_53,plain,
a_select2(xinit_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_13])]) ).
cnf(c_0_54,plain,
a_select2(xinit_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_13])]) ).
cnf(c_0_55,plain,
a_select2(xinit_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_13])]) ).
cnf(c_0_56,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_13])]) ).
cnf(c_0_57,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_13])]) ).
cnf(c_0_58,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_13])]) ).
cnf(c_0_59,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_13])]) ).
cnf(c_0_60,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_13])]) ).
cnf(c_0_61,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_13])]) ).
cnf(c_0_62,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_13])]) ).
cnf(c_0_63,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_13])]) ).
cnf(c_0_64,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_13])]) ).
cnf(c_0_65,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_13])]) ).
cnf(c_0_66,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_13])]) ).
cnf(c_0_67,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_13])]) ).
cnf(c_0_68,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_13])]) ).
cnf(c_0_69,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_13])]) ).
cnf(c_0_70,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_13])]) ).
cnf(c_0_71,plain,
( ~ epred1_0
| ~ leq(X2,pv5)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(z_defuse,X1,X2) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_72,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
| leq(esk2_0,minus(plus(n1,pv5),n1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_73,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_74,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_75,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
| leq(esk1_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_76,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
| leq(n0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_77,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
| leq(n0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_78,negated_conjecture,
( a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_79,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pv5)
| a_select3(z_defuse,X1,X2) = use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_13])]) ).
cnf(c_0_80,negated_conjecture,
leq(esk2_0,pv5),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_74]),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]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_81,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_75,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]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_82,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_76,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]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_83,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_77,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]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_84,plain,
( ~ epred1_0
| ~ leq(X2,pv5)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(u_defuse,X1,X2) = use ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_85,plain,
a_select3(u_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(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83])]) ).
cnf(c_0_86,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pv5)
| a_select3(u_defuse,X1,X2) = use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_13])]) ).
cnf(c_0_87,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_80]),c_0_81]),c_0_82]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV098+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n002.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 08:33:24 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.44 Running first-order theorem proving
% 0.13/5.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.60 % Version: 3.5.1
% 0.13/5.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/5.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/5.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.60 % Starting sh5l with 300s (1) cores
% 0.13/5.60 % new_bool_1 with pid 2880933 completed with status 0
% 0.13/5.60 % Result found by new_bool_1
% 0.13/5.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/5.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/5.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.60 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.13/5.60 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.60 % Starting SubtermCWHack with 28s (1) cores
% 0.13/5.60 % SubtermCWHack with pid 2880941 completed with status 0
% 0.13/5.60 % Result found by SubtermCWHack
% 0.13/5.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/5.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/5.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.60 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.13/5.60 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.60 % Starting SubtermCWHack with 28s (1) cores
% 0.13/5.60 % Preprocessing time : 0.004 s
% 0.13/5.60
% 0.13/5.60 % Proof found!
% 0.13/5.60 % SZS status Theorem
% 0.13/5.60 % SZS output start CNFRefutation
% See solution above
% 0.13/5.60 % Parsed axioms : 92
% 0.13/5.60 % Removed by relevancy pruning/SinE : 24
% 0.13/5.60 % Initial clauses : 109
% 0.13/5.60 % Removed in clause preprocessing : 0
% 0.13/5.60 % Initial clauses in saturation : 109
% 0.13/5.60 % Processed clauses : 797
% 0.13/5.60 % ...of these trivial : 2
% 0.13/5.60 % ...subsumed : 346
% 0.13/5.60 % ...remaining for further processing : 449
% 0.13/5.60 % Other redundant clauses eliminated : 0
% 0.13/5.60 % Clauses deleted for lack of memory : 0
% 0.13/5.60 % Backward-subsumed : 1
% 0.13/5.60 % Backward-rewritten : 15
% 0.13/5.60 % Generated clauses : 2090
% 0.13/5.60 % ...of the previous two non-redundant : 1349
% 0.13/5.60 % ...aggressively subsumed : 0
% 0.13/5.60 % Contextual simplify-reflections : 0
% 0.13/5.60 % Paramodulations : 2088
% 0.13/5.60 % Factorizations : 2
% 0.13/5.60 % NegExts : 0
% 0.13/5.60 % Equation resolutions : 0
% 0.13/5.60 % Disequality decompositions : 0
% 0.13/5.60 % Total rewrite steps : 1374
% 0.13/5.60 % ...of those cached : 1190
% 0.13/5.60 % Propositional unsat checks : 0
% 0.13/5.60 % Propositional check models : 0
% 0.13/5.60 % Propositional check unsatisfiable : 0
% 0.13/5.60 % Propositional clauses : 0
% 0.13/5.60 % Propositional clauses after purity: 0
% 0.13/5.60 % Propositional unsat core size : 0
% 0.13/5.60 % Propositional preprocessing time : 0.000
% 0.13/5.60 % Propositional encoding time : 0.000
% 0.13/5.60 % Propositional solver time : 0.000
% 0.13/5.60 % Success case prop preproc time : 0.000
% 0.13/5.60 % Success case prop encoding time : 0.000
% 0.13/5.60 % Success case prop solver time : 0.000
% 0.13/5.60 % Current number of processed clauses : 433
% 0.13/5.60 % Positive orientable unit clauses : 200
% 0.13/5.60 % Positive unorientable unit clauses: 1
% 0.13/5.60 % Negative unit clauses : 103
% 0.13/5.60 % Non-unit-clauses : 129
% 0.13/5.60 % Current number of unprocessed clauses: 661
% 0.13/5.60 % ...number of literals in the above : 1585
% 0.13/5.60 % Current number of archived formulas : 0
% 0.13/5.60 % Current number of archived clauses : 16
% 0.13/5.60 % Clause-clause subsumption calls (NU) : 1961
% 0.13/5.60 % Rec. Clause-clause subsumption calls : 1139
% 0.13/5.60 % Non-unit clause-clause subsumptions : 35
% 0.13/5.60 % Unit Clause-clause subsumption calls : 1330
% 0.13/5.60 % Rewrite failures with RHS unbound : 0
% 0.13/5.60 % BW rewrite match attempts : 42
% 0.13/5.60 % BW rewrite match successes : 7
% 0.13/5.60 % Condensation attempts : 0
% 0.13/5.60 % Condensation successes : 0
% 0.13/5.60 % Termbank termtop insertions : 22887
% 0.13/5.60 % Search garbage collected termcells : 931
% 0.13/5.60
% 0.13/5.60 % -------------------------------------------------
% 0.13/5.60 % User time : 0.064 s
% 0.13/5.60 % System time : 0.009 s
% 0.13/5.60 % Total time : 0.072 s
% 0.13/5.60 % Maximum resident set size: 4016 pages
% 0.13/5.60
% 0.13/5.60 % -------------------------------------------------
% 0.13/5.60 % User time : 0.071 s
% 0.13/5.60 % System time : 0.014 s
% 0.13/5.60 % Total time : 0.085 s
% 0.13/5.60 % Maximum resident set size: 4864 pages
% 0.13/5.60 % E exiting
%------------------------------------------------------------------------------