%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV098+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 : Tue Sep 29 01:20:13 PM UTC 2026
% Result : Theorem 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 91 ( 50 unt; 4 def)
% Number of atoms : 716 ( 551 equ)
% Maximal formula atoms : 74 ( 7 avg)
% Number of connectives : 958 ( 333 ~; 327 |; 286 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 60 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 48 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f53,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))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = 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
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,minus(plus(n1,pv5),n1)) )
=> ( a_select3(u_defuse,X4,X5) = use
& a_select3(z_defuse,X4,X5) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(f54,negated_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))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = 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
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,minus(plus(n1,pv5),n1)) )
=> ( a_select3(u_defuse,X4,X5) = use
& a_select3(z_defuse,X4,X5) = use ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( 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)
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,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
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( 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)
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,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
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ( 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)
| ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,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
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3)
& use = a_select3(z_defuse,X2,X3) )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5)
& use = a_select3(z_defuse,X4,X5) )
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( ( 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 != a_select3(u_defuse,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) )
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,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
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3)
& use = a_select3(z_defuse,X2,X3) )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5)
& use = a_select3(z_defuse,X4,X5) )
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f279,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f280,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f289,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f290,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f311,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(z_defuse,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f312,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f315,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f316,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f318,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f319,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f320,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f321,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f322,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f323,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f324,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f325,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f326,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f327,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f328,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f329,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f330,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f331,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f332,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f333,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f334,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f335,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f336,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f337,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f338,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f339,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f340,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f341,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
( 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)
| leq(sK32,minus(plus(n1,pv5),n1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f343,plain,
( 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)
| leq(sK31,n2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f344,plain,
( 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)
| leq(n0,sK32) ),
inference(cnf_transformation,[],[f198]) ).
fof(f345,plain,
( 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)
| leq(n0,sK31) ),
inference(cnf_transformation,[],[f198]) ).
fof(f346,plain,
( 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 != a_select3(u_defuse,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) ),
inference(cnf_transformation,[],[f198]) ).
fof(f393,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f280,f279]) ).
fof(f402,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f290,f289,f279]) ).
fof(f415,plain,
leq(sK32,minus(plus(n1,pv5),n1)),
inference(global_subsumption,[],[f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f332,f331,f330,f329,f328,f327,f326,f325,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315]) ).
fof(f416,plain,
leq(sK31,n2),
inference(global_subsumption,[],[f343,f341,f340,f339,f338,f337,f336,f335,f334,f333,f332,f331,f330,f329,f328,f327,f326,f325,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315]) ).
fof(f417,plain,
leq(n0,sK32),
inference(global_subsumption,[],[f344,f341,f340,f339,f338,f337,f336,f335,f334,f333,f332,f331,f330,f329,f328,f327,f326,f325,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315]) ).
fof(f418,plain,
leq(n0,sK31),
inference(global_subsumption,[],[f345,f341,f340,f339,f338,f337,f336,f335,f334,f333,f332,f331,f330,f329,f328,f327,f326,f325,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315]) ).
fof(f419,plain,
( use != a_select3(u_defuse,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) ),
inference(global_subsumption,[],[f346,f341,f340,f339,f338,f337,f336,f335,f334,f333,f332,f331,f330,f329,f328,f327,f326,f325,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315]) ).
fof(f421,definition,
( spl33_1
<=> use = a_select3(z_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f423,plain,
( use != a_select3(z_defuse,sK31,sK32)
| spl33_1 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl33_2
<=> use = a_select3(u_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f427,plain,
( use != a_select3(u_defuse,sK31,sK32)
| spl33_2 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f419,f425,f421]) ).
fof(f466,plain,
! [X0] :
( ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK32)
| ~ leq(X0,n2)
| ~ leq(sK32,pv5) ),
inference(resolution,[],[f311,f417]) ).
fof(f509,definition,
( spl33_18
<=> leq(sK32,pv5) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f510,plain,
( leq(sK32,pv5)
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( ~ leq(sK32,pv5)
| spl33_18 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f516,definition,
( spl33_20
<=> ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) ) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f517,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_20 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f518,plain,
( ~ spl33_18
| spl33_20 ),
inference(avatar_split_clause,[],[f466,f516,f509]) ).
fof(f537,plain,
! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK32)
| ~ leq(X0,n2)
| ~ leq(sK32,pv5) ),
inference(resolution,[],[f312,f417]) ).
fof(f755,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK32)
| ~ leq(X0,n2) )
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f537,f510]) ).
fof(f761,plain,
( use = a_select3(u_defuse,sK31,sK32)
| ~ leq(sK31,n2)
| ~ spl33_18 ),
inference(resolution,[],[f755,f418]) ).
fof(f765,plain,
( ~ leq(sK31,n2)
| spl33_2
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f761,f427]) ).
fof(f766,plain,
( $false
| spl33_2
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f765,f416]) ).
fof(f767,plain,
( spl33_2
| ~ spl33_18 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f773,plain,
( ~ leq(sK31,n2)
| use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_20 ),
inference(resolution,[],[f517,f418]) ).
fof(f777,plain,
( use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_20 ),
inference(forward_subsumption_resolution,[],[f773,f416]) ).
fof(f778,plain,
( $false
| spl33_1
| ~ spl33_20 ),
inference(forward_subsumption_resolution,[],[f777,f423]) ).
fof(f779,plain,
( spl33_1
| ~ spl33_20 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f936,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(superposition,[],[f402,f393]) ).
fof(f977,plain,
leq(sK32,pv5),
inference(superposition,[],[f415,f936]) ).
fof(f980,plain,
( $false
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f977,f511]) ).
fof(f981,plain,
spl33_18,
inference(avatar_contradiction_clause,[],[f980]) ).
cnf(s192,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(sat_conversion,[],[f428]) ).
cnf(s279,plain,
( ~ spl33_18
| spl33_20 ),
inference(sat_conversion,[],[f518]) ).
cnf(s472,plain,
( spl33_2
| ~ spl33_18 ),
inference(sat_conversion,[],[f767]) ).
cnf(s488,plain,
( spl33_1
| ~ spl33_20 ),
inference(sat_conversion,[],[f779]) ).
cnf(s614,plain,
spl33_18,
inference(sat_conversion,[],[f981]) ).
cnf(s615,plain,
spl33_2,
inference(rat,[],[s472,s614]) ).
cnf(s616,plain,
spl33_20,
inference(rat,[],[s279,s614]) ).
cnf(s617,plain,
spl33_1,
inference(rat,[],[s488,s616]) ).
cnf(s619,plain,
$false,
inference(rat,[],[s192,s615,s617]) ).
fof(f982,plain,
$false,
inference(avatar_sat_refutation,[],[s619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV098+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n017.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 09:49:06 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.31 % (3441516)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (3441526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=328462386:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (3441522)% WARNING: option uhcvi not known.
% 0.21/0.31 % (3441523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=567729086:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (3441521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=689629440_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (3441522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4150721207:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (3441524)dis+10_1_sil=32000:sp=arity:random_seed=3400162077:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (3441525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2583374256:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (3441527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3526847994:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % (3441523) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3441516-3441523"...
% 0.21/0.31 % (3441523)...printing done.
% 0.21/0.31 % (3441523)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Theorem for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32 % (3441523)------------------------------
% 0.21/0.32 % (3441523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (3441523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (3441523)CaDiCaL version: 2.1.3
% 0.21/0.32 % (3441523)Termination reason: Refutation
% 0.21/0.32 % (3441523)Time elapsed: 0.026 s
% 0.21/0.32 % (3441523)Peak memory usage: 13 MB
% 0.21/0.32 % (3441523)Instructions burned: 44 (million)
% 0.21/0.32 % (3441516)Success in time 0.068 s
% 0.21/0.32 % Vampire exiting
%------------------------------------------------------------------------------