%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV090+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 : n006.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 01:20:11 PM UTC 2026
% Result : Theorem 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 64
% Syntax : Number of formulae : 315 ( 153 unt; 41 def)
% Number of atoms : 710 ( 321 equ)
% Maximal formula atoms : 36 ( 2 avg)
% Number of connectives : 645 ( 250 ~; 252 |; 99 &)
% ( 41 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 42 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
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(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 != X1
& a_select2(X2,X1) = X3 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).
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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f86,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(flattening,[],[f132]) ).
fof(f136,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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) )
& 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 ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) )
& 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 ),
inference(flattening,[],[f136]) ).
fof(f152,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f278,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f279,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f302,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f303,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,[],[f133]) ).
fof(f308,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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,[],[f137]) ).
fof(f309,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f310,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f311,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f312,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f313,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f314,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f315,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f316,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f317,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f318,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f319,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f320,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f321,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f322,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f323,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f324,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f331,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f332,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f333,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f334,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f335,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f336,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f337,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f339,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f340,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f341,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f342,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f343,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f344,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f353,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f354,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f355,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f363,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f279,f278]) ).
fof(f379,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f353,f278]) ).
fof(f380,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f354,f278,f278]) ).
fof(f381,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f355,f278,f278,f278]) ).
fof(f384,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f303]) ).
fof(f387,plain,
! [X0] : gt(X0,X0),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f520,plain,
~ gt(n5,n4),
inference(consistent_polarity_flipping,[],[f324]) ).
fof(f527,plain,
~ gt(n4,n0),
inference(consistent_polarity_flipping,[],[f331]) ).
fof(f528,plain,
~ gt(n5,n0),
inference(consistent_polarity_flipping,[],[f332]) ).
fof(f529,plain,
~ gt(n1,n0),
inference(consistent_polarity_flipping,[],[f333]) ).
fof(f530,plain,
~ gt(n2,n0),
inference(consistent_polarity_flipping,[],[f334]) ).
fof(f531,plain,
~ gt(n3,n0),
inference(consistent_polarity_flipping,[],[f335]) ).
fof(f532,plain,
~ gt(n4,n1),
inference(consistent_polarity_flipping,[],[f336]) ).
fof(f533,plain,
~ gt(n5,n1),
inference(consistent_polarity_flipping,[],[f337]) ).
fof(f535,plain,
~ gt(n3,n1),
inference(consistent_polarity_flipping,[],[f339]) ).
fof(f536,plain,
~ gt(n4,n2),
inference(consistent_polarity_flipping,[],[f340]) ).
fof(f537,plain,
~ gt(n5,n2),
inference(consistent_polarity_flipping,[],[f341]) ).
fof(f538,plain,
~ gt(n3,n2),
inference(consistent_polarity_flipping,[],[f342]) ).
fof(f539,plain,
~ gt(n4,n3),
inference(consistent_polarity_flipping,[],[f343]) ).
fof(f540,plain,
~ gt(n5,n3),
inference(consistent_polarity_flipping,[],[f344]) ).
fof(f548,definition,
( spl31_1
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f552,definition,
( spl31_2
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f556,definition,
( spl31_3
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f560,definition,
( spl31_4
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f564,definition,
( spl31_5
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f568,definition,
( spl31_6
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f572,definition,
( spl31_7
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f576,definition,
( spl31_8
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f580,definition,
( spl31_9
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f584,definition,
( spl31_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).
fof(f588,definition,
( spl31_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).
fof(f592,definition,
( spl31_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).
fof(f596,definition,
( spl31_13
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f600,definition,
( spl31_14
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).
fof(f604,definition,
( spl31_15
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition]) ).
fof(f608,definition,
( spl31_16
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_16])],[avatar_definition]) ).
fof(f610,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
| spl31_16 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f612,definition,
( spl31_17
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f614,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| spl31_17 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f616,definition,
( spl31_18
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) ),
introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition]) ).
fof(f618,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| spl31_18 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,definition,
( spl31_19
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) ),
introduced(definition,[new_symbols(definition,[spl31_19])],[avatar_definition]) ).
fof(f622,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| spl31_19 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f624,definition,
( spl31_20
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) ),
introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition]) ).
fof(f626,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| spl31_20 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,definition,
( spl31_21
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) ),
introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition]) ).
fof(f630,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)
| spl31_21 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f631,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_9
| ~ spl31_10
| ~ spl31_11
| ~ spl31_12
| ~ spl31_13
| ~ spl31_14
| ~ spl31_15
| ~ spl31_16
| ~ spl31_17
| ~ spl31_18
| ~ spl31_19
| ~ spl31_20
| ~ spl31_21 ),
inference(avatar_split_clause,[],[f308,f628,f624,f620,f616,f612,f608,f604,f600,f596,f592,f588,f584,f580,f576,f572,f568,f564,f560,f556,f552,f548]) ).
fof(f632,plain,
spl31_15,
inference(avatar_split_clause,[],[f309,f604]) ).
fof(f633,plain,
spl31_14,
inference(avatar_split_clause,[],[f310,f600]) ).
fof(f634,plain,
spl31_13,
inference(avatar_split_clause,[],[f311,f596]) ).
fof(f635,plain,
spl31_12,
inference(avatar_split_clause,[],[f312,f592]) ).
fof(f636,plain,
spl31_11,
inference(avatar_split_clause,[],[f313,f588]) ).
fof(f637,plain,
spl31_10,
inference(avatar_split_clause,[],[f314,f584]) ).
fof(f638,plain,
spl31_9,
inference(avatar_split_clause,[],[f315,f580]) ).
fof(f639,plain,
spl31_8,
inference(avatar_split_clause,[],[f316,f576]) ).
fof(f640,plain,
spl31_7,
inference(avatar_split_clause,[],[f317,f572]) ).
fof(f641,plain,
spl31_6,
inference(avatar_split_clause,[],[f318,f568]) ).
fof(f642,plain,
spl31_5,
inference(avatar_split_clause,[],[f319,f564]) ).
fof(f643,plain,
spl31_4,
inference(avatar_split_clause,[],[f320,f560]) ).
fof(f644,plain,
spl31_3,
inference(avatar_split_clause,[],[f321,f556]) ).
fof(f645,plain,
spl31_2,
inference(avatar_split_clause,[],[f322,f552]) ).
fof(f646,plain,
spl31_1,
inference(avatar_split_clause,[],[f323,f548]) ).
fof(f661,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f380,f379]) ).
fof(f734,plain,
n3 = plus(plus(n1,plus(n0,n1)),n1),
inference(forward_demodulation,[],[f381,f363]) ).
fof(f735,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f734,f379]) ).
fof(f736,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f735,f661]) ).
fof(f1010,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0)
| n0 = n5
| spl31_16 ),
inference(superposition,[],[f610,f384]) ).
fof(f1012,definition,
( spl31_24
<=> n0 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_24])],[avatar_definition]) ).
fof(f1014,plain,
( n0 = n5
| ~ spl31_24 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1016,definition,
( spl31_25
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_25])],[avatar_definition]) ).
fof(f1018,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0)
| spl31_25 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1019,plain,
( spl31_24
| ~ spl31_25
| spl31_16 ),
inference(avatar_split_clause,[],[f1010,f608,f1016,f1012]) ).
fof(f1099,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0)
| n0 = n4
| spl31_25 ),
inference(superposition,[],[f1018,f384]) ).
fof(f1101,definition,
( spl31_26
<=> n0 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition]) ).
fof(f1103,plain,
( n0 = n4
| ~ spl31_26 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1105,definition,
( spl31_27
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_27])],[avatar_definition]) ).
fof(f1107,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0)
| spl31_27 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1112,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0)
| n0 = n3
| spl31_27 ),
inference(superposition,[],[f1107,f384]) ).
fof(f1114,definition,
( spl31_28
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[spl31_28])],[avatar_definition]) ).
fof(f1116,plain,
( n0 = n3
| ~ spl31_28 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1118,definition,
( spl31_29
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_29])],[avatar_definition]) ).
fof(f1120,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0)
| spl31_29 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1122,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0)
| n0 = n2
| spl31_29 ),
inference(superposition,[],[f1120,f384]) ).
fof(f1124,definition,
( spl31_30
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition]) ).
fof(f1126,plain,
( n0 = n2
| ~ spl31_30 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1128,definition,
( spl31_31
<=> use = a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_31])],[avatar_definition]) ).
fof(f1130,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0)
| spl31_31 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1132,plain,
( use != a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0)
| n0 = n1
| spl31_31 ),
inference(superposition,[],[f1130,f384]) ).
fof(f1133,plain,
( n0 = n1
| spl31_31 ),
inference(forward_subsumption_resolution,[],[f1132,f302]) ).
fof(f1240,plain,
( ~ gt(n0,n0)
| spl31_31 ),
inference(superposition,[],[f529,f1133]) ).
fof(f1281,plain,
( $false
| spl31_31 ),
inference(forward_subsumption_resolution,[],[f1240,f387]) ).
fof(f1282,plain,
spl31_31,
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1332,plain,
( ~ gt(n0,n0)
| ~ spl31_24 ),
inference(superposition,[],[f528,f1014]) ).
fof(f1343,plain,
( $false
| ~ spl31_24 ),
inference(forward_subsumption_resolution,[],[f1332,f387]) ).
fof(f1344,plain,
~ spl31_24,
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1345,plain,
( spl31_26
| ~ spl31_27
| spl31_25 ),
inference(avatar_split_clause,[],[f1099,f1016,f1105,f1101]) ).
fof(f1348,plain,
( ~ gt(n0,n0)
| ~ spl31_26 ),
inference(superposition,[],[f527,f1103]) ).
fof(f1357,plain,
( $false
| ~ spl31_26 ),
inference(forward_subsumption_resolution,[],[f1348,f387]) ).
fof(f1358,plain,
~ spl31_26,
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1359,plain,
( spl31_28
| ~ spl31_29
| spl31_27 ),
inference(avatar_split_clause,[],[f1112,f1105,f1118,f1114]) ).
fof(f1384,plain,
( ~ gt(n0,n0)
| ~ spl31_28 ),
inference(superposition,[],[f531,f1116]) ).
fof(f1399,plain,
( $false
| ~ spl31_28 ),
inference(forward_subsumption_resolution,[],[f1384,f387]) ).
fof(f1400,plain,
~ spl31_28,
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1401,plain,
( spl31_30
| ~ spl31_31
| spl31_29 ),
inference(avatar_split_clause,[],[f1122,f1118,f1128,f1124]) ).
fof(f1412,plain,
( ~ gt(n0,n0)
| ~ spl31_30 ),
inference(superposition,[],[f530,f1126]) ).
fof(f1443,plain,
( $false
| ~ spl31_30 ),
inference(forward_subsumption_resolution,[],[f1412,f387]) ).
fof(f1444,plain,
~ spl31_30,
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1458,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1)
| n1 = n5
| spl31_17 ),
inference(superposition,[],[f614,f384]) ).
fof(f1460,definition,
( spl31_34
<=> n1 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_34])],[avatar_definition]) ).
fof(f1462,plain,
( n1 = n5
| ~ spl31_34 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1464,definition,
( spl31_35
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) ),
introduced(definition,[new_symbols(definition,[spl31_35])],[avatar_definition]) ).
fof(f1466,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1)
| spl31_35 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1467,plain,
( spl31_34
| ~ spl31_35
| spl31_17 ),
inference(avatar_split_clause,[],[f1458,f612,f1464,f1460]) ).
fof(f1520,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1)
| n1 = n4
| spl31_35 ),
inference(superposition,[],[f1466,f384]) ).
fof(f1522,definition,
( spl31_38
<=> n1 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_38])],[avatar_definition]) ).
fof(f1524,plain,
( n1 = n4
| ~ spl31_38 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1526,definition,
( spl31_39
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) ),
introduced(definition,[new_symbols(definition,[spl31_39])],[avatar_definition]) ).
fof(f1528,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1)
| spl31_39 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1701,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1)
| n1 = n3
| spl31_39 ),
inference(superposition,[],[f1528,f384]) ).
fof(f1703,definition,
( spl31_44
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl31_44])],[avatar_definition]) ).
fof(f1705,plain,
( n1 = n3
| ~ spl31_44 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1707,definition,
( spl31_45
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) ),
introduced(definition,[new_symbols(definition,[spl31_45])],[avatar_definition]) ).
fof(f1709,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1)
| spl31_45 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1724,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1)
| n1 = n2
| spl31_45 ),
inference(superposition,[],[f1709,f384]) ).
fof(f1725,plain,
( n1 = n2
| spl31_45 ),
inference(forward_subsumption_resolution,[],[f1724,f302]) ).
fof(f1742,plain,
( n3 = plus(n1,n1)
| spl31_45 ),
inference(superposition,[],[f736,f1725]) ).
fof(f1764,plain,
( n2 = n3
| spl31_45 ),
inference(forward_demodulation,[],[f1742,f661]) ).
fof(f1770,plain,
( n1 = n3
| spl31_45 ),
inference(forward_demodulation,[],[f1764,f1725]) ).
fof(f1771,plain,
( spl31_44
| spl31_45 ),
inference(avatar_split_clause,[],[f1770,f1707,f1703]) ).
fof(f1775,plain,
( ~ gt(n1,n1)
| ~ spl31_34 ),
inference(superposition,[],[f533,f1462]) ).
fof(f1789,plain,
( $false
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f1775,f387]) ).
fof(f1790,plain,
~ spl31_34,
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1791,plain,
( spl31_38
| ~ spl31_39
| spl31_35 ),
inference(avatar_split_clause,[],[f1520,f1464,f1526,f1522]) ).
fof(f1795,plain,
( ~ gt(n1,n1)
| ~ spl31_38 ),
inference(superposition,[],[f532,f1524]) ).
fof(f1808,plain,
( $false
| ~ spl31_38 ),
inference(forward_subsumption_resolution,[],[f1795,f387]) ).
fof(f1809,plain,
~ spl31_38,
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1810,plain,
( spl31_44
| ~ spl31_45
| spl31_39 ),
inference(avatar_split_clause,[],[f1701,f1526,f1707,f1703]) ).
fof(f1829,plain,
( ~ gt(n1,n1)
| ~ spl31_44 ),
inference(superposition,[],[f535,f1705]) ).
fof(f1848,plain,
( $false
| ~ spl31_44 ),
inference(forward_subsumption_resolution,[],[f1829,f387]) ).
fof(f1849,plain,
~ spl31_44,
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1855,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2)
| n2 = n5
| spl31_18 ),
inference(superposition,[],[f618,f384]) ).
fof(f1857,definition,
( spl31_46
<=> n2 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_46])],[avatar_definition]) ).
fof(f1859,plain,
( n2 = n5
| ~ spl31_46 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f1861,definition,
( spl31_47
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) ),
introduced(definition,[new_symbols(definition,[spl31_47])],[avatar_definition]) ).
fof(f1863,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2)
| spl31_47 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f1864,plain,
( spl31_46
| ~ spl31_47
| spl31_18 ),
inference(avatar_split_clause,[],[f1855,f616,f1861,f1857]) ).
fof(f1903,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2)
| n2 = n4
| spl31_47 ),
inference(superposition,[],[f1863,f384]) ).
fof(f1905,definition,
( spl31_48
<=> n2 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_48])],[avatar_definition]) ).
fof(f1907,plain,
( n2 = n4
| ~ spl31_48 ),
inference(avatar_component_clause,[],[f1905]) ).
fof(f1909,definition,
( spl31_49
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) ),
introduced(definition,[new_symbols(definition,[spl31_49])],[avatar_definition]) ).
fof(f1911,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2)
| spl31_49 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1913,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2)
| n2 = n3
| spl31_49 ),
inference(superposition,[],[f1911,f384]) ).
fof(f1914,plain,
( n2 = n3
| spl31_49 ),
inference(forward_subsumption_resolution,[],[f1913,f302]) ).
fof(f1918,plain,
( ~ gt(n2,n2)
| spl31_49 ),
inference(superposition,[],[f538,f1914]) ).
fof(f1942,plain,
( $false
| spl31_49 ),
inference(forward_subsumption_resolution,[],[f1918,f387]) ).
fof(f1943,plain,
spl31_49,
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1948,plain,
( ~ gt(n2,n2)
| ~ spl31_46 ),
inference(superposition,[],[f537,f1859]) ).
fof(f1963,plain,
( $false
| ~ spl31_46 ),
inference(forward_subsumption_resolution,[],[f1948,f387]) ).
fof(f1964,plain,
~ spl31_46,
inference(avatar_contradiction_clause,[],[f1963]) ).
fof(f1965,plain,
( spl31_48
| ~ spl31_49
| spl31_47 ),
inference(avatar_split_clause,[],[f1903,f1861,f1909,f1905]) ).
fof(f1970,plain,
( ~ gt(n2,n2)
| ~ spl31_48 ),
inference(superposition,[],[f536,f1907]) ).
fof(f1985,plain,
( $false
| ~ spl31_48 ),
inference(forward_subsumption_resolution,[],[f1970,f387]) ).
fof(f1986,plain,
~ spl31_48,
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f1992,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3)
| n3 = n5
| spl31_19 ),
inference(superposition,[],[f622,f384]) ).
fof(f1994,definition,
( spl31_50
<=> n3 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_50])],[avatar_definition]) ).
fof(f1996,plain,
( n3 = n5
| ~ spl31_50 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f1998,definition,
( spl31_51
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) ),
introduced(definition,[new_symbols(definition,[spl31_51])],[avatar_definition]) ).
fof(f1999,plain,
( use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3)
| ~ spl31_51 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f2000,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3)
| spl31_51 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f2006,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3)
| n3 = n4
| spl31_51 ),
inference(superposition,[],[f2000,f384]) ).
fof(f2007,plain,
( n3 = n4
| spl31_51 ),
inference(forward_subsumption_resolution,[],[f2006,f302]) ).
fof(f2013,plain,
( ~ gt(n3,n3)
| spl31_51 ),
inference(superposition,[],[f539,f2007]) ).
fof(f2031,plain,
( $false
| spl31_51 ),
inference(forward_subsumption_resolution,[],[f2013,f387]) ).
fof(f2032,plain,
spl31_51,
inference(avatar_contradiction_clause,[],[f2031]) ).
fof(f2033,plain,
( $false
| spl31_21 ),
inference(forward_subsumption_resolution,[],[f630,f302]) ).
fof(f2034,plain,
spl31_21,
inference(avatar_contradiction_clause,[],[f2033]) ).
fof(f2041,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4)
| n4 = n5
| spl31_20 ),
inference(superposition,[],[f626,f384]) ).
fof(f2042,plain,
( n4 = n5
| spl31_20 ),
inference(forward_subsumption_resolution,[],[f2041,f302]) ).
fof(f2043,plain,
( ~ gt(n4,n4)
| spl31_20 ),
inference(superposition,[],[f520,f2042]) ).
fof(f2063,plain,
( $false
| spl31_20 ),
inference(forward_subsumption_resolution,[],[f2043,f387]) ).
fof(f2064,plain,
spl31_20,
inference(avatar_contradiction_clause,[],[f2063]) ).
fof(f2065,plain,
( n3 = n5
| spl31_19
| ~ spl31_51 ),
inference(forward_subsumption_resolution,[],[f1992,f1999]) ).
fof(f2066,plain,
( spl31_50
| spl31_19
| ~ spl31_51 ),
inference(avatar_split_clause,[],[f2065,f1998,f620,f1994]) ).
fof(f2076,plain,
( ~ gt(n3,n3)
| ~ spl31_50 ),
inference(superposition,[],[f540,f1996]) ).
fof(f2091,plain,
( $false
| ~ spl31_50 ),
inference(forward_subsumption_resolution,[],[f2076,f387]) ).
fof(f2092,plain,
~ spl31_50,
inference(avatar_contradiction_clause,[],[f2091]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_9
| ~ spl31_10
| ~ spl31_11
| ~ spl31_12
| ~ spl31_13
| ~ spl31_14
| ~ spl31_15
| ~ spl31_16
| ~ spl31_17
| ~ spl31_18
| ~ spl31_19
| ~ spl31_20
| ~ spl31_21 ),
inference(sat_conversion,[],[f631]) ).
cnf(s2,plain,
spl31_15,
inference(sat_conversion,[],[f632]) ).
cnf(s3,plain,
spl31_14,
inference(sat_conversion,[],[f633]) ).
cnf(s4,plain,
spl31_13,
inference(sat_conversion,[],[f634]) ).
cnf(s5,plain,
spl31_12,
inference(sat_conversion,[],[f635]) ).
cnf(s6,plain,
spl31_11,
inference(sat_conversion,[],[f636]) ).
cnf(s7,plain,
spl31_10,
inference(sat_conversion,[],[f637]) ).
cnf(s8,plain,
spl31_9,
inference(sat_conversion,[],[f638]) ).
cnf(s9,plain,
spl31_8,
inference(sat_conversion,[],[f639]) ).
cnf(s10,plain,
spl31_7,
inference(sat_conversion,[],[f640]) ).
cnf(s11,plain,
spl31_6,
inference(sat_conversion,[],[f641]) ).
cnf(s12,plain,
spl31_5,
inference(sat_conversion,[],[f642]) ).
cnf(s13,plain,
spl31_4,
inference(sat_conversion,[],[f643]) ).
cnf(s14,plain,
spl31_3,
inference(sat_conversion,[],[f644]) ).
cnf(s15,plain,
spl31_2,
inference(sat_conversion,[],[f645]) ).
cnf(s16,plain,
spl31_1,
inference(sat_conversion,[],[f646]) ).
cnf(s20,plain,
( spl31_16
| spl31_24
| ~ spl31_25 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s27,plain,
spl31_31,
inference(sat_conversion,[],[f1282]) ).
cnf(s30,plain,
~ spl31_24,
inference(sat_conversion,[],[f1344]) ).
cnf(s31,plain,
( spl31_25
| spl31_26
| ~ spl31_27 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s33,plain,
~ spl31_26,
inference(sat_conversion,[],[f1358]) ).
cnf(s34,plain,
( spl31_27
| spl31_28
| ~ spl31_29 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s38,plain,
~ spl31_28,
inference(sat_conversion,[],[f1400]) ).
cnf(s39,plain,
( spl31_29
| spl31_30
| ~ spl31_31 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s44,plain,
~ spl31_30,
inference(sat_conversion,[],[f1444]) ).
cnf(s48,plain,
( spl31_17
| spl31_34
| ~ spl31_35 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s57,plain,
( spl31_44
| spl31_45 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s60,plain,
~ spl31_34,
inference(sat_conversion,[],[f1790]) ).
cnf(s61,plain,
( spl31_35
| spl31_38
| ~ spl31_39 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s63,plain,
~ spl31_38,
inference(sat_conversion,[],[f1809]) ).
cnf(s64,plain,
( spl31_39
| spl31_44
| ~ spl31_45 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s67,plain,
~ spl31_44,
inference(sat_conversion,[],[f1849]) ).
cnf(s70,plain,
( spl31_18
| spl31_46
| ~ spl31_47 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s74,plain,
spl31_49,
inference(sat_conversion,[],[f1943]) ).
cnf(s77,plain,
~ spl31_46,
inference(sat_conversion,[],[f1964]) ).
cnf(s78,plain,
( spl31_47
| spl31_48
| ~ spl31_49 ),
inference(sat_conversion,[],[f1965]) ).
cnf(s80,plain,
~ spl31_48,
inference(sat_conversion,[],[f1986]) ).
cnf(s85,plain,
spl31_51,
inference(sat_conversion,[],[f2032]) ).
cnf(s86,plain,
spl31_21,
inference(sat_conversion,[],[f2034]) ).
cnf(s90,plain,
spl31_20,
inference(sat_conversion,[],[f2064]) ).
cnf(s91,plain,
( spl31_19
| spl31_50
| ~ spl31_51 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s94,plain,
~ spl31_50,
inference(sat_conversion,[],[f2092]) ).
cnf(s95,plain,
( spl31_19
| ~ spl31_51 ),
inference(rat,[],[s91,s94]) ).
cnf(s98,plain,
spl31_19,
inference(rat,[],[s95,s85]) ).
cnf(s99,plain,
( spl31_47
| ~ spl31_49 ),
inference(rat,[],[s78,s80]) ).
cnf(s100,plain,
spl31_47,
inference(rat,[],[s99,s74]) ).
cnf(s101,plain,
spl31_18,
inference(rat,[],[s70,s100,s77]) ).
cnf(s102,plain,
( spl31_39
| ~ spl31_45 ),
inference(rat,[],[s64,s67]) ).
cnf(s103,plain,
( spl31_35
| ~ spl31_39 ),
inference(rat,[],[s61,s63]) ).
cnf(s104,plain,
spl31_45,
inference(rat,[],[s57,s67]) ).
cnf(s105,plain,
spl31_39,
inference(rat,[],[s102,s104]) ).
cnf(s106,plain,
spl31_35,
inference(rat,[],[s103,s105]) ).
cnf(s107,plain,
spl31_17,
inference(rat,[],[s48,s106,s60]) ).
cnf(s108,plain,
( spl31_29
| ~ spl31_31 ),
inference(rat,[],[s39,s44]) ).
cnf(s109,plain,
( spl31_27
| ~ spl31_29 ),
inference(rat,[],[s34,s38]) ).
cnf(s110,plain,
( spl31_25
| ~ spl31_27 ),
inference(rat,[],[s31,s33]) ).
cnf(s111,plain,
spl31_29,
inference(rat,[],[s108,s27]) ).
cnf(s112,plain,
spl31_27,
inference(rat,[],[s109,s111]) ).
cnf(s113,plain,
spl31_25,
inference(rat,[],[s110,s112]) ).
cnf(s114,plain,
spl31_16,
inference(rat,[],[s20,s113,s30]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s1,s86,s90,s98,s101,s107,s114,s2,s3,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16]) ).
fof(f2093,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:51:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.30 % (3857352)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (3857358)% WARNING: option uhcvi not known.
% 0.19/0.30 % (3857358)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2267203431:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (3857357)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1013450804_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (3857362)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=318457081:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (3857359)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2788098580:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (3857360)dis+10_1_sil=32000:sp=arity:random_seed=1200859378:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (3857361)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=958403097:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (3857363)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1449547582:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % (3857358) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3857352-3857358"...
% 0.19/0.30 % (3857358)...printing done.
% 0.19/0.30 % (3857358)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Theorem for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (3857358)------------------------------
% 0.19/0.30 % (3857358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3857358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3857358)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3857358)Termination reason: Refutation
% 0.19/0.30 % (3857358)Time elapsed: 0.035 s
% 0.19/0.30 % (3857358)Peak memory usage: 14 MB
% 0.19/0.30 % (3857358)Instructions burned: 105 (million)
% 0.19/0.30 % (3857352)Success in time 0.072 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------