%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 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 : Fri Sep 25 03:16:24 PM UTC 2026
% Result : Theorem 4.61s 6.33s
% Output : CNFRefutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 19
% Syntax : Number of formulae : 158 ( 96 unt; 0 def)
% Number of atoms : 838 ( 774 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 878 ( 198 ~; 542 |; 135 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(f53,conjecture,
( ( 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_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
fof(f54,negated_conjecture,
~ ( ( 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_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(f87,plain,
( 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
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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(f88,plain,
( 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
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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,[],[f87]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(flattening,[],[f93]) ).
fof(f117,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f88]) ).
fof(f118,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f88]) ).
fof(f119,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f88]) ).
fof(f120,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f88]) ).
fof(f121,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f123,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f88]) ).
fof(f124,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f88]) ).
fof(f125,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f88]) ).
fof(f126,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f127,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f129,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f88]) ).
fof(f130,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f88]) ).
fof(f131,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f88]) ).
fof(f132,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f88]) ).
fof(f133,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f88]) ).
fof(f134,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f135,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f88]) ).
fof(f137,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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,[],[f88]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f144,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f151,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f152,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f153,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f154,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f155,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f157,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f158,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f159,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f160,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f164,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f165,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f166,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f171,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f173,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f177,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f192,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
! [X2,X0,X1,X4] :
( X0 = X1
| a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
inference(equality_resolution,[],[f143]) ).
tcf(c_49,negated_conjecture,
( ( 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_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(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_50,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f137]) ).
tcf(c_51,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f136]) ).
tcf(c_52,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f135]) ).
tcf(c_53,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f134]) ).
tcf(c_54,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f133]) ).
tcf(c_55,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f132]) ).
tcf(c_56,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f131]) ).
tcf(c_57,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f130]) ).
tcf(c_58,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f129]) ).
tcf(c_59,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f128]) ).
tcf(c_60,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f127]) ).
tcf(c_61,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f126]) ).
tcf(c_62,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f125]) ).
tcf(c_63,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f124]) ).
tcf(c_64,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f123]) ).
tcf(c_65,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[],[f122]) ).
tcf(c_66,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[],[f121]) ).
tcf(c_67,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[],[f120]) ).
tcf(c_68,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[],[f119]) ).
tcf(c_69,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[],[f118]) ).
tcf(c_70,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[],[f117]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3) ) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f144]) ).
tcf(c_83,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f151]) ).
tcf(c_84,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f152]) ).
tcf(c_85,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f153]) ).
tcf(c_86,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f154]) ).
tcf(c_87,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f155]) ).
tcf(c_89,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f157]) ).
tcf(c_90,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f158]) ).
tcf(c_91,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f159]) ).
tcf(c_92,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f160]) ).
tcf(c_96,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f164]) ).
tcf(c_97,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f165]) ).
tcf(c_98,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f166]) ).
tcf(c_103,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f171]) ).
tcf(c_105,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f173]) ).
tcf(c_109,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f177]) ).
tcf(c_124,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f192]) ).
tcf(c_156,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_61,c_60,c_59,c_49]) ).
tcf(c_157,negated_conjecture,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(renaming,[status(thm)],[c_156]) ).
tcf(c_394,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_157,c_76]) ).
tcf(c_3023,plain,
( ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_75,c_394]) ).
tcf(c_3120,plain,
( ( n1 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3023]) ).
tcf(c_3142,plain,
( ( n2 = n5 )
| ( n1 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3120]) ).
tcf(c_3167,plain,
( ( n3 = n5 )
| ( n2 = n5 )
| ( n1 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3142]) ).
tcf(c_3195,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n1 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3167]) ).
tcf(c_3196,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n1 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3195,c_76]) ).
tcf(c_3224,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n1 = n5 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3196]) ).
tcf(c_3255,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3224]) ).
tcf(c_3289,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3255]) ).
tcf(c_3329,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3289]) ).
tcf(c_3330,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3329,c_76]) ).
tcf(c_3734,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3330]) ).
tcf(c_3774,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3734]) ).
tcf(c_3817,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3774]) ).
tcf(c_3818,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3817,c_76]) ).
tcf(c_3861,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3818]) ).
tcf(c_3916,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3861]) ).
tcf(c_3917,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3916,c_76]) ).
tcf(c_4017,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 )
| ( a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_75,c_3917]) ).
tcf(c_4018,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(ground_joinability,[status(thm)],[c_4017,c_76]) ).
tcf(c_4083,plain,
( gt(n4,n4)
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4018,c_105]) ).
tcf(c_4090,plain,
( ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4083,c_124]) ).
tcf(c_4153,plain,
( gt(n3,n3)
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4090,c_96]) ).
tcf(c_4159,plain,
( ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4153,c_124]) ).
tcf(c_4393,plain,
( gt(n2,n2)
| ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4159,c_90]) ).
tcf(c_4396,plain,
( ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4393,c_124]) ).
tcf(c_4463,plain,
( gt(n0,n0)
| ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4396,c_109]) ).
tcf(c_4520,plain,
( ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n5 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4463,c_124]) ).
tcf(c_4590,plain,
( gt(n1,n1)
| ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4520,c_85]) ).
tcf(c_4592,plain,
( ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4590,c_124]) ).
tcf(c_4664,plain,
( gt(n3,n3)
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4592,c_97]) ).
tcf(c_4670,plain,
( ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4664,c_124]) ).
tcf(c_4731,plain,
( gt(n2,n2)
| ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4670,c_91]) ).
tcf(c_4735,plain,
( ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4731,c_124]) ).
tcf(c_4790,plain,
( gt(n0,n0)
| ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4735,c_103]) ).
tcf(c_4821,plain,
( ( n2 = n3 )
| ( n1 = n4 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4790,c_124]) ).
tcf(c_4884,plain,
( gt(n1,n1)
| ( n2 = n3 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4821,c_86]) ).
tcf(c_4887,plain,
( ( n2 = n3 )
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4884,c_124]) ).
tcf(c_4951,plain,
( gt(n2,n2)
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4887,c_89]) ).
tcf(c_4955,plain,
( ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4951,c_124]) ).
tcf(c_5188,plain,
( gt(n0,n0)
| ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_4955,c_98]) ).
tcf(c_5207,plain,
( ( n1 = n3 )
| ( n1 = n2 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5188,c_124]) ).
tcf(c_5266,plain,
( gt(n1,n1)
| ( n1 = n2 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_5207,c_83]) ).
tcf(c_5269,plain,
( ( n1 = n2 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5266,c_124]) ).
tcf(c_5317,plain,
( gt(n0,n0)
| ( n1 = n2 )
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_5269,c_92]) ).
tcf(c_5329,plain,
( ( n1 = n2 )
| ( n0 = n1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5317,c_124]) ).
tcf(c_5381,plain,
( gt(n1,n1)
| ( n0 = n1 ) ),
inference(superposition,[status(thm)],[c_5329,c_84]) ).
tcf(c_5385,plain,
n0 = n1,
inference(forward_subsumption_resolution,[status(thm)],[c_5381,c_124]) ).
tcf(c_5432,plain,
gt(n1,n1),
inference(demodulation,[status(thm)],[c_87,c_5385]) ).
tcf(c_5440,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5432,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n017.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Thu Sep 24 18:24:38 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.61/6.33 % SZS status Started for theBenchmark.p
% 4.61/6.33 % SZS status Theorem for theBenchmark.p
% 4.61/6.33
% 4.61/6.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.61/6.33
% 4.61/6.33 % ------ iProver source info
% 4.61/6.33
% 4.61/6.33 % git: date: 2026-07-19 20:42:38 +0200
% 4.61/6.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.61/6.33 % git: non_committed_changes: false
% 4.61/6.33
% 4.61/6.33 % ------ Parsing...
% 4.61/6.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.61/6.33
% 4.61/6.33 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.61/6.33
% 4.61/6.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.61/6.33
% 4.61/6.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.61/6.33 % ------ Proving...
% 4.61/6.33 % ------ Problem Properties
% 4.61/6.33
% 4.61/6.33 %
% 4.61/6.33 % clauses 83
% 4.61/6.33 % conjectures 21
% 4.61/6.33 % EPR 34
% 4.61/6.33 % Horn 73
% 4.61/6.33 % unary 61
% 4.61/6.33 % binary 8
% 4.61/6.33 % lits 139
% 4.61/6.33 % lits eq 71
% 4.61/6.33 % fd_pure 0
% 4.61/6.33 % fd_pseudo 0
% 4.61/6.33 % fd_cond 6
% 4.61/6.33 % fd_pseudo_cond 3
% 4.61/6.33 % AC symbols 0
% 4.61/6.33
% 4.61/6.33 % ------ Schedule dynamic 5 is on
% 4.61/6.33
% 4.61/6.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.61/6.33
% 4.61/6.33
% 4.61/6.33 % ------
% 4.61/6.33 % Current options:
% 4.61/6.33 % ------
% 4.61/6.33
% 4.61/6.33
% 4.61/6.33 %
% 4.61/6.33
% 4.61/6.33 % ------ Proving...
% 4.61/6.33 %
% 4.61/6.33
% 4.61/6.33 % SZS status Theorem for theBenchmark.p
% 4.61/6.33
% 4.61/6.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.61/6.34
% 4.61/6.34
%------------------------------------------------------------------------------