%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV095+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 : n008.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 02:53:42 PM UTC 2026
% Result : Theorem 0.15s 15.59s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 83 ( 64 unt; 0 def)
% Number of atoms : 609 ( 478 equ)
% Maximal formula atoms : 202 ( 7 avg)
% Number of connectives : 872 ( 346 ~; 341 |; 178 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 20 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
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(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(quaternion_ds1_inuse_0007,conjecture,
( ( ! [X14,X18] :
( ( leq(X18,minus(pv5,n1))
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> ( a_select3(z_defuse,X14,X18) = use
& a_select3(u_defuse,X14,X18) = use ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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 )
=> ( ! [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 ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0007) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
cnf(c_0_10,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_11,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_12,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_13,plain,
succ(n1) = n2,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_15,plain,
succ(n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11]),c_0_13]) ).
fof(c_0_16,plain,
! [X71] : pred(succ(X71)) = X71,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_17,plain,
! [X49] : minus(X49,n1) = pred(X49),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_18,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_19,plain,
succ(n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_13]),c_0_15]) ).
fof(c_0_20,negated_conjecture,
~ ( ( ! [X14,X18] :
( ( leq(X18,minus(pv5,n1))
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> ( a_select3(z_defuse,X14,X18) = use
& a_select3(u_defuse,X14,X18) = use ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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 )
=> ( ! [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 ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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(assume_negation,[status(cth)],[quaternion_ds1_inuse_0007]) ).
cnf(c_0_21,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_24,plain,
succ(n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_11]),c_0_13]),c_0_15]),c_0_19]) ).
fof(c_0_25,negated_conjecture,
! [X28,X29] :
( ( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use )
& ( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(esk2_0,minus(pv5,n1)) )
& ( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(esk1_0,n2) )
& ( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(n0,esk2_0) )
& ( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(n0,esk1_0) )
& ( ~ leq(X29,minus(pv5,n1))
| ~ leq(X28,n2)
| ~ leq(n0,X29)
| ~ leq(n0,X28)
| a_select3(z_defuse,X28,X29) = use )
& ( ~ leq(X29,minus(pv5,n1))
| ~ leq(X28,n2)
| ~ leq(n0,X29)
| ~ leq(n0,X28)
| a_select3(u_defuse,X28,X29) = use )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])]) ).
cnf(c_0_26,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
succ(n5) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_11]),c_0_13]),c_0_15]),c_0_19]),c_0_24]) ).
fof(c_0_28,plain,
! [X69,X70] :
( ( leq(X69,pred(X70))
| ~ gt(X70,X69) )
& ( gt(X70,X69)
| ~ leq(X69,pred(X70)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])]) ).
cnf(c_0_29,negated_conjecture,
leq(pv51,minus(n6,n1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ gt(X1,X2)
| leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( ~ leq(X1,pred(X2))
| gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(esk2_0,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_40,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_45,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_46,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_47,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_48,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_49,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_50,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_51,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_52,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_53,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_54,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_55,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_56,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_57,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_58,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_59,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_61,negated_conjecture,
leq(n0,pv5),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_62,negated_conjecture,
leq(n0,pv51),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_63,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_64,negated_conjecture,
leq(pv51,n5),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_65,negated_conjecture,
( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| 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_25]) ).
cnf(c_0_66,negated_conjecture,
( ~ leq(X2,minus(pv5,n1))
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(z_defuse,X1,X2) = use ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_67,plain,
( ~ gt(X2,X1)
| leq(X1,minus(X2,n1)) ),
inference(rw,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_68,negated_conjecture,
( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(esk1_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_69,negated_conjecture,
( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(n0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_70,negated_conjecture,
( ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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
| leq(n0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_71,plain,
( ~ leq(X2,minus(X1,n1))
| gt(X1,X2) ),
inference(rw,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_72,negated_conjecture,
leq(esk2_0,minus(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),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_30]),c_0_64])]) ).
cnf(c_0_73,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),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_30]),c_0_64])]) ).
cnf(c_0_74,negated_conjecture,
( ~ gt(pv5,X2)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| a_select3(z_defuse,X1,X2) = use ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,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)],[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_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),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_30]),c_0_64])]) ).
cnf(c_0_76,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)],[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_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),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_30]),c_0_64])]) ).
cnf(c_0_77,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)],[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_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),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_30]),c_0_64])]) ).
cnf(c_0_78,negated_conjecture,
gt(pv5,esk2_0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( ~ leq(X2,minus(pv5,n1))
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(u_defuse,X1,X2) = use ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_80,negated_conjecture,
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_73,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78])]) ).
cnf(c_0_81,negated_conjecture,
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| a_select3(u_defuse,X1,esk2_0) = use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_72]),c_0_76])]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_75]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV095+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/15.39 % Computer : n008.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Mon Sep 21 08:31:57 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/15.44 Running first-order theorem proving
% 0.15/15.44 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
% 0.15/15.59 % Version: 3.5.1
% 0.15/15.59 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/15.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/15.59 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.59 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.59 % Starting sh5l with 300s (1) cores
% 0.15/15.59 % new_bool_1 with pid 591290 completed with status 0
% 0.15/15.59 % Result found by new_bool_1
% 0.15/15.59 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/15.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/15.59 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.59 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/15.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/15.59 % Search class: FGHSM-FFMM31-DFFFFFNN
% 0.15/15.59 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/15.59 % Starting SubtermCWHack with 31s (1) cores
% 0.15/15.59 % SubtermCWHack with pid 591293 completed with status 0
% 0.15/15.59 % Result found by SubtermCWHack
% 0.15/15.59 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/15.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/15.59 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.59 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/15.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/15.59 % Search class: FGHSM-FFMM31-DFFFFFNN
% 0.15/15.59 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/15.59 % Starting SubtermCWHack with 31s (1) cores
% 0.15/15.59 % Preprocessing time : 0.002 s
% 0.15/15.59
% 0.15/15.59 % Proof found!
% 0.15/15.59 % SZS status Theorem
% 0.15/15.59 % SZS output start CNFRefutation
% See solution above
% 0.15/15.59 % Parsed axioms : 102
% 0.15/15.59 % Removed by relevancy pruning/SinE : 24
% 0.15/15.59 % Initial clauses : 118
% 0.15/15.59 % Removed in clause preprocessing : 0
% 0.15/15.59 % Initial clauses in saturation : 118
% 0.15/15.59 % Processed clauses : 4835
% 0.15/15.59 % ...of these trivial : 371
% 0.15/15.59 % ...subsumed : 3193
% 0.15/15.59 % ...remaining for further processing : 1271
% 0.15/15.59 % Other redundant clauses eliminated : 0
% 0.15/15.59 % Clauses deleted for lack of memory : 0
% 0.15/15.59 % Backward-subsumed : 8
% 0.15/15.59 % Backward-rewritten : 77
% 0.15/15.59 % Generated clauses : 23021
% 0.15/15.59 % ...of the previous two non-redundant : 14358
% 0.15/15.59 % ...aggressively subsumed : 0
% 0.15/15.59 % Contextual simplify-reflections : 0
% 0.15/15.59 % Paramodulations : 23004
% 0.15/15.59 % Factorizations : 17
% 0.15/15.59 % NegExts : 0
% 0.15/15.59 % Equation resolutions : 0
% 0.15/15.59 % Disequality decompositions : 0
% 0.15/15.59 % Total rewrite steps : 16829
% 0.15/15.59 % ...of those cached : 16285
% 0.15/15.59 % Propositional unsat checks : 0
% 0.15/15.59 % Propositional check models : 0
% 0.15/15.59 % Propositional check unsatisfiable : 0
% 0.15/15.59 % Propositional clauses : 0
% 0.15/15.59 % Propositional clauses after purity: 0
% 0.15/15.59 % Propositional unsat core size : 0
% 0.15/15.59 % Propositional preprocessing time : 0.000
% 0.15/15.59 % Propositional encoding time : 0.000
% 0.15/15.59 % Propositional solver time : 0.000
% 0.15/15.59 % Success case prop preproc time : 0.000
% 0.15/15.59 % Success case prop encoding time : 0.000
% 0.15/15.59 % Success case prop solver time : 0.000
% 0.15/15.59 % Current number of processed clauses : 1186
% 0.15/15.59 % Positive orientable unit clauses : 414
% 0.15/15.59 % Positive unorientable unit clauses: 2
% 0.15/15.59 % Negative unit clauses : 267
% 0.15/15.59 % Non-unit-clauses : 503
% 0.15/15.59 % Current number of unprocessed clauses: 9624
% 0.15/15.59 % ...number of literals in the above : 24431
% 0.15/15.59 % Current number of archived formulas : 0
% 0.15/15.59 % Current number of archived clauses : 85
% 0.15/15.59 % Clause-clause subsumption calls (NU) : 32267
% 0.15/15.59 % Rec. Clause-clause subsumption calls : 25769
% 0.15/15.59 % Non-unit clause-clause subsumptions : 365
% 0.15/15.59 % Unit Clause-clause subsumption calls : 31041
% 0.15/15.59 % Rewrite failures with RHS unbound : 0
% 0.15/15.59 % BW rewrite match attempts : 233
% 0.15/15.59 % BW rewrite match successes : 21
% 0.15/15.59 % Condensation attempts : 0
% 0.15/15.59 % Condensation successes : 0
% 0.15/15.59 % Termbank termtop insertions : 208087
% 0.15/15.59 % Search garbage collected termcells : 977
% 0.15/15.59
% 0.15/15.59 % -------------------------------------------------
% 0.15/15.59 % User time : 0.123 s
% 0.15/15.59 % System time : 0.010 s
% 0.15/15.59 % Total time : 0.133 s
% 0.15/15.59 % Maximum resident set size: 4020 pages
% 0.15/15.59
% 0.15/15.59 % -------------------------------------------------
% 0.15/15.59 % User time : 0.128 s
% 0.15/15.59 % System time : 0.013 s
% 0.15/15.59 % Total time : 0.141 s
% 0.15/15.59 % Maximum resident set size: 4608 pages
% 0.15/15.59 % E exiting
%------------------------------------------------------------------------------