%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 03:16:24 PM UTC 2026
% Result : Theorem 3.49s 1.13s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 101 ( 81 unt; 1 def)
% Number of atoms : 528 ( 458 equ)
% Maximal formula atoms : 60 ( 5 avg)
% Number of connectives : 636 ( 215 ~; 206 |; 209 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 47 !; 4 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
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(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(f53,conjecture,
( ( a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( ! [X0,X1] :
( ( leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( ! [X0,X1] :
( ( leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f98]) ).
fof(f136,plain,
( 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
& ( ? [X0,X1] :
( leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) ) )
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( 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
& ( ? [X0,X1] :
( leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) ) )
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
inference(flattening,[],[f136]) ).
fof(f158,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| gt(succ(X1),X0) )
& ( ~ gt(succ(X1),X0)
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f190,plain,
( 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(sK32,minus(n0,n1))
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31)
& ( use != a_select3(z_defuse,sK31,sK32)
| use != a_select3(u_defuse,sK31,sK32) ) )
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f137]) ).
fof(f193,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f202,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f271,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f272,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f281,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f283,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f301,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f190]) ).
fof(f302,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f190]) ).
fof(f303,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f190]) ).
fof(f304,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f190]) ).
fof(f305,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f190]) ).
fof(f306,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f307,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f190]) ).
fof(f308,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f190]) ).
fof(f309,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f190]) ).
fof(f310,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f190]) ).
fof(f311,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f190]) ).
fof(f312,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f313,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f190]) ).
fof(f314,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f190]) ).
fof(f315,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f190]) ).
fof(f316,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f317,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f318,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f319,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f190]) ).
fof(f320,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f190]) ).
fof(f321,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f190]) ).
fof(f322,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f190]) ).
fof(f323,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f190]) ).
fof(f324,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f325,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f190]) ).
fof(f326,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f190]) ).
fof(f327,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f190]) ).
fof(f328,plain,
( leq(sK32,minus(n0,n1))
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f330,plain,
( leq(n0,sK32)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f370,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f202,f271]) ).
fof(f372,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f272,f271]) ).
fof(f382,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f283,f271,f281]) ).
tcf(c_51,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f193]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_129,plain,
! [X0: $i] : plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f372]) ).
tcf(c_139,plain,
! [X0: $i] : plus(minus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f382]) ).
tcf(c_159,negated_conjecture,
( leq(n0,sK32)
| ( 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,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != 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,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != 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,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_161,negated_conjecture,
( leq(sK32,minus(n0,n1))
| ( a_select2(xinit_noise_defuse,n5) != use )
| ( a_select2(xinit_noise_defuse,n4) != use )
| ( a_select2(xinit_noise_defuse,n3) != use )
| ( a_select2(xinit_noise_defuse,n2) != use )
| ( a_select2(xinit_noise_defuse,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != 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,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != 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,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_162,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f327]) ).
tcf(c_163,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f326]) ).
tcf(c_164,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f325]) ).
tcf(c_165,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f324]) ).
tcf(c_166,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f323]) ).
tcf(c_167,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f322]) ).
tcf(c_168,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f321]) ).
tcf(c_169,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f320]) ).
tcf(c_170,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f319]) ).
tcf(c_171,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f318]) ).
tcf(c_172,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f317]) ).
tcf(c_173,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f316]) ).
tcf(c_174,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f315]) ).
tcf(c_175,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f314]) ).
tcf(c_176,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f313]) ).
tcf(c_177,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[],[f312]) ).
tcf(c_178,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[],[f311]) ).
tcf(c_179,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[],[f310]) ).
tcf(c_180,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[],[f309]) ).
tcf(c_181,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[],[f308]) ).
tcf(c_182,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[],[f307]) ).
tcf(c_183,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[],[f306]) ).
tcf(c_184,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[],[f305]) ).
tcf(c_185,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[],[f304]) ).
tcf(c_186,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[],[f303]) ).
tcf(c_187,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[],[f302]) ).
tcf(c_188,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f301]) ).
tcf(c_313,negated_conjecture,
leq(n0,sK32),
inference(global_subsumption_just,[status(thm)],[c_159,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_159]) ).
tcf(c_317,negated_conjecture,
leq(sK32,minus(n0,n1)),
inference(global_subsumption_just,[status(thm)],[c_161,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_161]) ).
tcf(c_1718,plain,
! [X0: $i] : plus(n1,minus(X0,n1)) = X0,
inference(demodulation,[status(thm)],[c_139,c_129]) ).
tcf(c_5923,definition,
iPr_def_10 = minus(n0,n1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5951,negated_conjecture,
leq(sK32,iPr_def_10),
inference(demodulation,[status(thm)],[c_317,c_5923]) ).
tcf(c_5953,negated_conjecture,
leq(n0,sK32),
inference(demodulation,[status(thm)],[c_313]) ).
tcf(c_9194,plain,
plus(n1,iPr_def_10) = n0,
inference(superposition,[status(thm)],[c_5923,c_1718]) ).
tcf(c_9222,plain,
plus(iPr_def_10,n1) = n0,
inference(demodulation,[status(thm)],[c_9194,c_129]) ).
tcf(c_9476,plain,
! [X0: $i] : ~ leq(plus(X0,n1),X0),
inference(superposition,[status(thm)],[c_61,c_51]) ).
tcf(c_9563,plain,
~ leq(n0,iPr_def_10),
inference(superposition,[status(thm)],[c_9222,c_9476]) ).
tcf(c_10269,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(sK32,X0) ),
inference(superposition,[status(thm)],[c_5953,c_53]) ).
tcf(c_10746,plain,
leq(n0,iPr_def_10),
inference(superposition,[status(thm)],[c_5951,c_10269]) ).
tcf(c_10753,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10746,c_9563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 18:29:20 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 Running first-order theorem proving
% 0.11/0.37 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38
% 0.11/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.38
% 0.11/0.38 % Detected problem language: tptp
% 0.11/0.39 % Proving...
% 3.49/1.13 % SZS status Started for theBenchmark.p
% 3.49/1.13 % SZS status Theorem for theBenchmark.p
% 3.49/1.13
% 3.49/1.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.49/1.13
% 3.49/1.13 % ------ iProver source info
% 3.49/1.13
% 3.49/1.13 % git: date: 2026-07-19 20:42:38 +0200
% 3.49/1.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.49/1.13 % git: non_committed_changes: false
% 3.49/1.13
% 3.49/1.13 % ------ Parsing...
% 3.49/1.13 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.49/1.13
% 3.49/1.13 % ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.49/1.13
% 3.49/1.13 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.49/1.13
% 3.49/1.13 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.49/1.13 % ------ Proving...
% 3.49/1.13 % ------ Problem Properties
% 3.49/1.13
% 3.49/1.13 %
% 3.49/1.13 % clauses 200
% 3.49/1.13 % conjectures 31
% 3.49/1.13 % EPR 67
% 3.49/1.13 % Horn 150
% 3.49/1.13 % unary 105
% 3.49/1.13 % binary 35
% 3.49/1.13 % lits 540
% 3.49/1.13 % lits eq 170
% 3.49/1.13 % fd_pure 0
% 3.49/1.13 % fd_pseudo 0
% 3.49/1.13 % fd_cond 6
% 3.49/1.13 % fd_pseudo_cond 4
% 3.49/1.13 % AC symbols 0
% 3.49/1.13
% 3.49/1.13 % ------ Schedule dynamic 5 is on
% 3.49/1.13
% 3.49/1.13 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.49/1.13
% 3.49/1.13
% 3.49/1.13 % ------
% 3.49/1.13 % Current options:
% 3.49/1.13 % ------
% 3.49/1.13
% 3.49/1.13
% 3.49/1.13 %
% 3.49/1.13
% 3.49/1.13 % ------ Proving...
% 3.49/1.13 %
% 3.49/1.13
% 3.49/1.13 % SZS status Theorem for theBenchmark.p
% 3.49/1.13
% 3.49/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.49/1.13
% 3.49/1.13
%------------------------------------------------------------------------------