%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV098+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 : 300s
% DateTime : Tue May 5 05:20:49 PM UTC 2026
% Result : Theorem 1.83s 1.93s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 97 ( 49 unt; 0 def)
% Number of atoms : 783 ( 626 equ)
% Maximal formula atoms : 142 ( 8 avg)
% Number of connectives : 1154 ( 468 ~; 461 |; 213 &)
% ( 1 <=>; 11 =>; 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 : 43 ( 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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(c_0_5,plain,
( epred2_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,
( epred2_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,
~ ( epred2_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,
! [X376,X377,X378,X379] :
( ( a_select2(rho_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred2_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred2_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred2_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred2_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred2_0 )
& ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( a_select3(u_defuse,X376,X377) = use
| ~ leq(n0,X376)
| ~ leq(n0,X377)
| ~ leq(X376,n2)
| ~ leq(X377,pv5)
| ~ epred2_0 )
& ( a_select3(z_defuse,X376,X377) = use
| ~ leq(n0,X376)
| ~ leq(n0,X377)
| ~ leq(X376,n2)
| ~ leq(X377,pv5)
| ~ epred2_0 )
& ( a_select3(u_defuse,X378,X379) = use
| ~ leq(n0,X378)
| ~ leq(n0,X379)
| ~ leq(X378,n2)
| ~ leq(X379,minus(pv5,n1))
| ~ epred2_0 )
& ( a_select3(z_defuse,X378,X379) = use
| ~ leq(n0,X378)
| ~ leq(n0,X379)
| ~ leq(X378,n2)
| ~ leq(X379,minus(pv5,n1))
| ~ epred2_0 ) ),
inference(distribute,[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,
( epred2_0
& ( leq(n0,esk24_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,esk25_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(esk24_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(esk25_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,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_10,plain,
( a_select2(rho_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( a_select2(rho_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( a_select2(sigma_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( a_select2(sigma_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( a_select2(sigma_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( a_select2(sigma_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_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(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
a_select2(rho_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_20,plain,
( a_select3(u_defuse,n0,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( a_select3(u_defuse,n1,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( a_select3(u_defuse,n2,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( a_select2(sigma_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,plain,
( a_select2(sigma_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( a_select2(xinit_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( a_select2(xinit_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,plain,
( a_select2(xinit_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,plain,
( a_select2(xinit_mean_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
( a_select2(xinit_mean_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( a_select2(xinit_mean_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( a_select2(xinit_mean_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
( a_select2(xinit_mean_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( a_select2(xinit_mean_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( a_select2(xinit_noise_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,plain,
( a_select2(xinit_noise_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( a_select2(xinit_noise_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,plain,
( a_select2(xinit_noise_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,plain,
( a_select2(xinit_noise_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
( a_select2(xinit_noise_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( leq(n0,esk25_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 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,plain,
a_select2(rho_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_42,plain,
a_select2(rho_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11])]) ).
cnf(c_0_43,plain,
a_select2(sigma_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11])]) ).
cnf(c_0_44,plain,
a_select2(sigma_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11])]) ).
cnf(c_0_45,negated_conjecture,
( leq(n0,esk24_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 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,negated_conjecture,
( leq(esk24_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 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_47,plain,
a_select2(sigma_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11])]) ).
cnf(c_0_48,plain,
a_select2(sigma_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_11])]) ).
fof(c_0_49,plain,
! [X320] : pred(succ(X320)) = X320,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_50,plain,
! [X309] : plus(X309,n1) = succ(X309),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_51,plain,
! [X319] : minus(X319,n1) = pred(X319),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_52,plain,
! [X310] : plus(n1,X310) = succ(X310),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_53,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,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_0) != 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_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)],[c_0_18,c_0_19])]) ).
cnf(c_0_54,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_11])]) ).
cnf(c_0_55,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11])]) ).
cnf(c_0_56,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_11])]) ).
cnf(c_0_57,plain,
a_select2(sigma_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_11])]) ).
cnf(c_0_58,plain,
a_select2(sigma_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_11])]) ).
cnf(c_0_59,plain,
a_select2(xinit_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_11])]) ).
cnf(c_0_60,plain,
a_select2(xinit_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_11])]) ).
cnf(c_0_61,plain,
a_select2(xinit_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_11])]) ).
cnf(c_0_62,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_11])]) ).
cnf(c_0_63,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_11])]) ).
cnf(c_0_64,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_11])]) ).
cnf(c_0_65,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_11])]) ).
cnf(c_0_66,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_11])]) ).
cnf(c_0_67,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_11])]) ).
cnf(c_0_68,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_11])]) ).
cnf(c_0_69,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_11])]) ).
cnf(c_0_70,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_11])]) ).
cnf(c_0_71,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_11])]) ).
cnf(c_0_72,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_11])]) ).
cnf(c_0_73,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_11])]) ).
cnf(c_0_74,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_75,negated_conjecture,
( leq(n0,esk25_0)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_19]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_76,negated_conjecture,
( leq(n0,esk24_0)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != 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)],[inference(rw,[status(thm)],[c_0_45,c_0_19]),c_0_41]),c_0_42])]) ).
cnf(c_0_77,negated_conjecture,
( leq(esk24_0,n2)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_19]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_47]),c_0_48])]) ).
cnf(c_0_78,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_79,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_80,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_81,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_82,negated_conjecture,
( a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_41])]),c_0_54]),c_0_55]),c_0_56]),c_0_42]),c_0_43]),c_0_44]),c_0_47]),c_0_48]),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]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_83,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(X2,pv5)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_11])]) ).
cnf(c_0_84,negated_conjecture,
leq(n0,esk25_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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_47])]),c_0_54]),c_0_55]),c_0_56]),c_0_48]),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]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_85,negated_conjecture,
leq(n0,esk24_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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_43])]),c_0_54]),c_0_55]),c_0_56]),c_0_44]),c_0_47]),c_0_48]),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]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_86,negated_conjecture,
leq(esk24_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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_57])]),c_0_54]),c_0_55]),c_0_56]),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]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_87,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_88,negated_conjecture,
( leq(esk25_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 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_89,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_90,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_81,c_0_79]) ).
cnf(c_0_91,plain,
( a_select3(u_defuse,esk24_0,esk25_0) != use
| ~ leq(esk25_0,pv5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85])]),c_0_86])]) ).
cnf(c_0_92,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(X2,pv5)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_11])]) ).
cnf(c_0_93,negated_conjecture,
leq(esk25_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_88,c_0_19]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_47]),c_0_48]),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]),c_0_71]),c_0_72]),c_0_73]),c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_94,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
~ leq(esk25_0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_86]),c_0_84]),c_0_85])]) ).
cnf(c_0_96,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV098+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n013.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:55:26 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.83/1.93 % Version : CSE_E---1.7
% 1.83/1.93 % Problem : theBenchmark.p
% 1.83/1.93 % SZS status Theorem for theBenchmark.p
% 1.83/1.93 % SZS output start CNFRefutation
% See solution above
% 1.83/1.93 % Total time : 1.423s
%------------------------------------------------------------------------------