%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV091+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 : n007.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 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 71
% Syntax : Number of formulae : 341 ( 172 unt; 48 def)
% Number of atoms : 808 ( 387 equ)
% Maximal formula atoms : 48 ( 2 avg)
% Number of connectives : 749 ( 282 ~; 281 |; 135 &)
% ( 48 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 51 ( 49 usr; 49 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(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(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(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(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) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use ),
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(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(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) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use ),
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_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,[],[f137]) ).
fof(f309,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f310,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f311,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f312,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f313,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f314,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f315,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f316,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f317,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f318,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f319,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f320,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f321,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f322,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f323,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f324,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f325,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f326,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f327,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f328,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f329,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f330,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f337,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f338,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f339,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f340,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f341,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f342,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f343,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f345,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f346,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f347,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f348,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f349,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f350,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f359,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f360,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f361,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f369,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f279,f278]) ).
fof(f385,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f359,f278]) ).
fof(f386,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f360,f278,f278]) ).
fof(f387,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f361,f278,f278,f278]) ).
fof(f390,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f303]) ).
fof(f393,plain,
! [X0] : gt(X0,X0),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f459,plain,
~ gt(n5,n4),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f466,plain,
~ gt(n4,n0),
inference(consistent_polarity_flipping,[],[f337]) ).
fof(f467,plain,
~ gt(n5,n0),
inference(consistent_polarity_flipping,[],[f338]) ).
fof(f468,plain,
~ gt(n1,n0),
inference(consistent_polarity_flipping,[],[f339]) ).
fof(f469,plain,
~ gt(n2,n0),
inference(consistent_polarity_flipping,[],[f340]) ).
fof(f470,plain,
~ gt(n3,n0),
inference(consistent_polarity_flipping,[],[f341]) ).
fof(f471,plain,
~ gt(n4,n1),
inference(consistent_polarity_flipping,[],[f342]) ).
fof(f472,plain,
~ gt(n5,n1),
inference(consistent_polarity_flipping,[],[f343]) ).
fof(f474,plain,
~ gt(n3,n1),
inference(consistent_polarity_flipping,[],[f345]) ).
fof(f475,plain,
~ gt(n4,n2),
inference(consistent_polarity_flipping,[],[f346]) ).
fof(f476,plain,
~ gt(n5,n2),
inference(consistent_polarity_flipping,[],[f347]) ).
fof(f477,plain,
~ gt(n3,n2),
inference(consistent_polarity_flipping,[],[f348]) ).
fof(f478,plain,
~ gt(n4,n3),
inference(consistent_polarity_flipping,[],[f349]) ).
fof(f479,plain,
~ gt(n5,n3),
inference(consistent_polarity_flipping,[],[f350]) ).
fof(f481,definition,
( spl31_1
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f485,definition,
( spl31_2
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f489,definition,
( spl31_3
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f493,definition,
( spl31_4
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f497,definition,
( spl31_5
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f501,definition,
( spl31_6
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f505,definition,
( spl31_7
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f509,definition,
( spl31_8
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f513,definition,
( spl31_9
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f517,definition,
( spl31_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).
fof(f521,definition,
( spl31_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).
fof(f525,definition,
( spl31_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).
fof(f529,definition,
( spl31_13
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f533,definition,
( spl31_14
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).
fof(f537,definition,
( spl31_15
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition]) ).
fof(f541,definition,
( spl31_16
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl31_16])],[avatar_definition]) ).
fof(f545,definition,
( spl31_17
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f549,definition,
( spl31_18
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition]) ).
fof(f553,definition,
( spl31_19
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl31_19])],[avatar_definition]) ).
fof(f557,definition,
( spl31_20
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition]) ).
fof(f561,definition,
( spl31_21
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition]) ).
fof(f565,definition,
( spl31_22
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition]) ).
fof(f567,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),n0)
| spl31_22 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl31_23
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_23])],[avatar_definition]) ).
fof(f571,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),n1)
| spl31_23 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f573,definition,
( spl31_24
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_24])],[avatar_definition]) ).
fof(f575,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),n2)
| spl31_24 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f577,definition,
( spl31_25
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_25])],[avatar_definition]) ).
fof(f579,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),n3)
| spl31_25 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f581,definition,
( spl31_26
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition]) ).
fof(f583,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),n4)
| spl31_26 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f585,definition,
( spl31_27
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_27])],[avatar_definition]) ).
fof(f587,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)
| spl31_27 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,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
| ~ spl31_22
| ~ spl31_23
| ~ spl31_24
| ~ spl31_25
| ~ spl31_26
| ~ spl31_27 ),
inference(avatar_split_clause,[],[f308,f585,f581,f577,f573,f569,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f505,f501,f497,f493,f489,f485,f481]) ).
fof(f589,plain,
spl31_21,
inference(avatar_split_clause,[],[f309,f561]) ).
fof(f590,plain,
spl31_20,
inference(avatar_split_clause,[],[f310,f557]) ).
fof(f591,plain,
spl31_19,
inference(avatar_split_clause,[],[f311,f553]) ).
fof(f592,plain,
spl31_18,
inference(avatar_split_clause,[],[f312,f549]) ).
fof(f593,plain,
spl31_17,
inference(avatar_split_clause,[],[f313,f545]) ).
fof(f594,plain,
spl31_16,
inference(avatar_split_clause,[],[f314,f541]) ).
fof(f595,plain,
spl31_15,
inference(avatar_split_clause,[],[f315,f537]) ).
fof(f596,plain,
spl31_14,
inference(avatar_split_clause,[],[f316,f533]) ).
fof(f597,plain,
spl31_13,
inference(avatar_split_clause,[],[f317,f529]) ).
fof(f598,plain,
spl31_12,
inference(avatar_split_clause,[],[f318,f525]) ).
fof(f599,plain,
spl31_11,
inference(avatar_split_clause,[],[f319,f521]) ).
fof(f600,plain,
spl31_10,
inference(avatar_split_clause,[],[f320,f517]) ).
fof(f601,plain,
spl31_9,
inference(avatar_split_clause,[],[f321,f513]) ).
fof(f602,plain,
spl31_8,
inference(avatar_split_clause,[],[f322,f509]) ).
fof(f603,plain,
spl31_7,
inference(avatar_split_clause,[],[f323,f505]) ).
fof(f604,plain,
spl31_6,
inference(avatar_split_clause,[],[f324,f501]) ).
fof(f605,plain,
spl31_5,
inference(avatar_split_clause,[],[f325,f497]) ).
fof(f606,plain,
spl31_4,
inference(avatar_split_clause,[],[f326,f493]) ).
fof(f607,plain,
spl31_3,
inference(avatar_split_clause,[],[f327,f489]) ).
fof(f608,plain,
spl31_2,
inference(avatar_split_clause,[],[f328,f485]) ).
fof(f609,plain,
spl31_1,
inference(avatar_split_clause,[],[f329,f481]) ).
fof(f644,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f386,f385]) ).
fof(f766,plain,
n3 = plus(plus(n1,plus(n0,n1)),n1),
inference(forward_demodulation,[],[f387,f369]) ).
fof(f767,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f766,f385]) ).
fof(f768,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f767,f644]) ).
fof(f988,plain,
( 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)
| n0 = n5
| spl31_22 ),
inference(superposition,[],[f567,f390]) ).
fof(f990,definition,
( spl31_34
<=> n0 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_34])],[avatar_definition]) ).
fof(f992,plain,
( n0 = n5
| ~ spl31_34 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f994,definition,
( spl31_35
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_35])],[avatar_definition]) ).
fof(f996,plain,
( 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)
| spl31_35 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( spl31_34
| ~ spl31_35
| spl31_22 ),
inference(avatar_split_clause,[],[f988,f565,f994,f990]) ).
fof(f998,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0)
| n0 = n4
| spl31_35 ),
inference(superposition,[],[f996,f390]) ).
fof(f1000,definition,
( spl31_36
<=> n0 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_36])],[avatar_definition]) ).
fof(f1002,plain,
( n0 = n4
| ~ spl31_36 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1004,definition,
( spl31_37
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_37])],[avatar_definition]) ).
fof(f1006,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0)
| spl31_37 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1103,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0)
| n0 = n3
| spl31_37 ),
inference(superposition,[],[f1006,f390]) ).
fof(f1105,definition,
( spl31_38
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[spl31_38])],[avatar_definition]) ).
fof(f1107,plain,
( n0 = n3
| ~ spl31_38 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1109,definition,
( spl31_39
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_39])],[avatar_definition]) ).
fof(f1111,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0)
| spl31_39 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1124,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0)
| n0 = n2
| spl31_39 ),
inference(superposition,[],[f1111,f390]) ).
fof(f1126,definition,
( spl31_41
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl31_41])],[avatar_definition]) ).
fof(f1128,plain,
( n0 = n2
| ~ spl31_41 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1130,definition,
( spl31_42
<=> use = a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) ),
introduced(definition,[new_symbols(definition,[spl31_42])],[avatar_definition]) ).
fof(f1132,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0)
| spl31_42 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1137,plain,
( use != a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0)
| n0 = n1
| spl31_42 ),
inference(superposition,[],[f1132,f390]) ).
fof(f1138,plain,
( n0 = n1
| spl31_42 ),
inference(forward_subsumption_resolution,[],[f1137,f302]) ).
fof(f1153,plain,
( ~ gt(n0,n0)
| spl31_42 ),
inference(superposition,[],[f468,f1138]) ).
fof(f1182,plain,
( $false
| spl31_42 ),
inference(forward_subsumption_resolution,[],[f1153,f393]) ).
fof(f1183,plain,
spl31_42,
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1229,plain,
( ~ gt(n0,n0)
| ~ spl31_34 ),
inference(superposition,[],[f467,f992]) ).
fof(f1239,plain,
( $false
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f1229,f393]) ).
fof(f1240,plain,
~ spl31_34,
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1241,plain,
( spl31_36
| ~ spl31_37
| spl31_35 ),
inference(avatar_split_clause,[],[f998,f994,f1004,f1000]) ).
fof(f1244,plain,
( ~ gt(n0,n0)
| ~ spl31_36 ),
inference(superposition,[],[f466,f1002]) ).
fof(f1256,plain,
( $false
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f1244,f393]) ).
fof(f1257,plain,
~ spl31_36,
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1258,plain,
( spl31_38
| ~ spl31_39
| spl31_37 ),
inference(avatar_split_clause,[],[f1103,f1004,f1109,f1105]) ).
fof(f1260,plain,
( ~ gt(n0,n0)
| ~ spl31_38 ),
inference(superposition,[],[f470,f1107]) ).
fof(f1273,plain,
( $false
| ~ spl31_38 ),
inference(forward_subsumption_resolution,[],[f1260,f393]) ).
fof(f1274,plain,
~ spl31_38,
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1275,plain,
( spl31_41
| ~ spl31_42
| spl31_39 ),
inference(avatar_split_clause,[],[f1124,f1109,f1130,f1126]) ).
fof(f1329,plain,
( ~ gt(n0,n0)
| ~ spl31_41 ),
inference(superposition,[],[f469,f1128]) ).
fof(f1351,plain,
( $false
| ~ spl31_41 ),
inference(forward_subsumption_resolution,[],[f1329,f393]) ).
fof(f1352,plain,
~ spl31_41,
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1368,plain,
( 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)
| n1 = n5
| spl31_23 ),
inference(superposition,[],[f571,f390]) ).
fof(f1370,definition,
( spl31_43
<=> n1 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_43])],[avatar_definition]) ).
fof(f1372,plain,
( n1 = n5
| ~ spl31_43 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1374,definition,
( spl31_44
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_44])],[avatar_definition]) ).
fof(f1376,plain,
( 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)
| spl31_44 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1377,plain,
( spl31_43
| ~ spl31_44
| spl31_23 ),
inference(avatar_split_clause,[],[f1368,f569,f1374,f1370]) ).
fof(f1424,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1)
| n1 = n4
| spl31_44 ),
inference(superposition,[],[f1376,f390]) ).
fof(f1426,definition,
( spl31_45
<=> n1 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_45])],[avatar_definition]) ).
fof(f1428,plain,
( n1 = n4
| ~ spl31_45 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1430,definition,
( spl31_46
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) ),
introduced(definition,[new_symbols(definition,[spl31_46])],[avatar_definition]) ).
fof(f1432,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1)
| spl31_46 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1464,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1)
| n1 = n3
| spl31_46 ),
inference(superposition,[],[f1432,f390]) ).
fof(f1466,definition,
( spl31_47
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl31_47])],[avatar_definition]) ).
fof(f1468,plain,
( n1 = n3
| ~ spl31_47 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1470,definition,
( spl31_48
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) ),
introduced(definition,[new_symbols(definition,[spl31_48])],[avatar_definition]) ).
fof(f1472,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1)
| spl31_48 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1474,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1)
| n1 = n2
| spl31_48 ),
inference(superposition,[],[f1472,f390]) ).
fof(f1475,plain,
( n1 = n2
| spl31_48 ),
inference(forward_subsumption_resolution,[],[f1474,f302]) ).
fof(f1499,plain,
( n3 = plus(n1,n1)
| spl31_48 ),
inference(superposition,[],[f768,f1475]) ).
fof(f1514,plain,
( n2 = n3
| spl31_48 ),
inference(forward_demodulation,[],[f1499,f644]) ).
fof(f1520,plain,
( n1 = n3
| spl31_48 ),
inference(forward_demodulation,[],[f1514,f1475]) ).
fof(f1521,plain,
( spl31_47
| spl31_48 ),
inference(avatar_split_clause,[],[f1520,f1470,f1466]) ).
fof(f1525,plain,
( ~ gt(n1,n1)
| ~ spl31_43 ),
inference(superposition,[],[f472,f1372]) ).
fof(f1536,plain,
( $false
| ~ spl31_43 ),
inference(forward_subsumption_resolution,[],[f1525,f393]) ).
fof(f1537,plain,
~ spl31_43,
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f1538,plain,
( spl31_45
| ~ spl31_46
| spl31_44 ),
inference(avatar_split_clause,[],[f1424,f1374,f1430,f1426]) ).
fof(f1542,plain,
( ~ gt(n1,n1)
| ~ spl31_45 ),
inference(superposition,[],[f471,f1428]) ).
fof(f1557,plain,
( $false
| ~ spl31_45 ),
inference(forward_subsumption_resolution,[],[f1542,f393]) ).
fof(f1558,plain,
~ spl31_45,
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1559,plain,
( spl31_47
| ~ spl31_48
| spl31_46 ),
inference(avatar_split_clause,[],[f1464,f1430,f1470,f1466]) ).
fof(f1562,plain,
( ~ gt(n1,n1)
| ~ spl31_47 ),
inference(superposition,[],[f474,f1468]) ).
fof(f1579,plain,
( $false
| ~ spl31_47 ),
inference(forward_subsumption_resolution,[],[f1562,f393]) ).
fof(f1580,plain,
~ spl31_47,
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1586,plain,
( 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)
| n2 = n5
| spl31_24 ),
inference(superposition,[],[f575,f390]) ).
fof(f1588,definition,
( spl31_49
<=> n2 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_49])],[avatar_definition]) ).
fof(f1590,plain,
( n2 = n5
| ~ spl31_49 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1592,definition,
( spl31_50
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_50])],[avatar_definition]) ).
fof(f1594,plain,
( 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)
| spl31_50 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1595,plain,
( spl31_49
| ~ spl31_50
| spl31_24 ),
inference(avatar_split_clause,[],[f1586,f573,f1592,f1588]) ).
fof(f1608,definition,
( spl31_51
<=> n2 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_51])],[avatar_definition]) ).
fof(f1610,plain,
( n2 = n4
| ~ spl31_51 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1612,definition,
( spl31_52
<=> n3 = n4 ),
introduced(definition,[new_symbols(definition,[spl31_52])],[avatar_definition]) ).
fof(f1614,plain,
( n3 = n4
| ~ spl31_52 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1653,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2)
| n2 = n4
| spl31_50 ),
inference(superposition,[],[f1594,f390]) ).
fof(f1655,definition,
( spl31_54
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) ),
introduced(definition,[new_symbols(definition,[spl31_54])],[avatar_definition]) ).
fof(f1657,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2)
| spl31_54 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1659,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2)
| n2 = n3
| spl31_54 ),
inference(superposition,[],[f1657,f390]) ).
fof(f1660,plain,
( n2 = n3
| spl31_54 ),
inference(forward_subsumption_resolution,[],[f1659,f302]) ).
fof(f1664,plain,
( ~ gt(n2,n2)
| spl31_54 ),
inference(superposition,[],[f477,f1660]) ).
fof(f1688,plain,
( $false
| spl31_54 ),
inference(forward_subsumption_resolution,[],[f1664,f393]) ).
fof(f1689,plain,
spl31_54,
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1752,plain,
( ~ gt(n2,n2)
| ~ spl31_49 ),
inference(superposition,[],[f476,f1590]) ).
fof(f1764,plain,
( $false
| ~ spl31_49 ),
inference(forward_subsumption_resolution,[],[f1752,f393]) ).
fof(f1765,plain,
~ spl31_49,
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1766,plain,
( spl31_51
| ~ spl31_54
| spl31_50 ),
inference(avatar_split_clause,[],[f1653,f1592,f1655,f1608]) ).
fof(f1803,plain,
( ~ gt(n2,n2)
| ~ spl31_51 ),
inference(superposition,[],[f475,f1610]) ).
fof(f1822,plain,
( $false
| ~ spl31_51 ),
inference(forward_subsumption_resolution,[],[f1803,f393]) ).
fof(f1823,plain,
~ spl31_51,
inference(avatar_contradiction_clause,[],[f1822]) ).
fof(f1829,plain,
( 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)
| n3 = n5
| spl31_25 ),
inference(superposition,[],[f579,f390]) ).
fof(f1831,definition,
( spl31_55
<=> n3 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_55])],[avatar_definition]) ).
fof(f1833,plain,
( n3 = n5
| ~ spl31_55 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f1835,definition,
( spl31_56
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl31_56])],[avatar_definition]) ).
fof(f1837,plain,
( 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)
| spl31_56 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f1838,plain,
( spl31_55
| ~ spl31_56
| spl31_25 ),
inference(avatar_split_clause,[],[f1829,f577,f1835,f1831]) ).
fof(f1851,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3)
| n3 = n4
| spl31_56 ),
inference(superposition,[],[f1837,f390]) ).
fof(f1852,plain,
( n3 = n4
| spl31_56 ),
inference(forward_subsumption_resolution,[],[f1851,f302]) ).
fof(f1853,plain,
( spl31_52
| spl31_56 ),
inference(avatar_split_clause,[],[f1852,f1835,f1612]) ).
fof(f1859,plain,
( ~ gt(n3,n3)
| ~ spl31_52 ),
inference(superposition,[],[f478,f1614]) ).
fof(f1883,plain,
( $false
| ~ spl31_52 ),
inference(forward_subsumption_resolution,[],[f1859,f393]) ).
fof(f1884,plain,
~ spl31_52,
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1897,plain,
( ~ gt(n3,n3)
| ~ spl31_55 ),
inference(superposition,[],[f479,f1833]) ).
fof(f1910,plain,
( $false
| ~ spl31_55 ),
inference(forward_subsumption_resolution,[],[f1897,f393]) ).
fof(f1911,plain,
~ spl31_55,
inference(avatar_contradiction_clause,[],[f1910]) ).
fof(f1916,plain,
( 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),n4)
| n4 = n5
| spl31_26 ),
inference(superposition,[],[f583,f390]) ).
fof(f1917,plain,
( n4 = n5
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f1916,f302]) ).
fof(f1939,plain,
( ~ gt(n4,n4)
| spl31_26 ),
inference(superposition,[],[f459,f1917]) ).
fof(f1960,plain,
( $false
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f1939,f393]) ).
fof(f1961,plain,
spl31_26,
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f1962,plain,
( $false
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f587,f302]) ).
fof(f1963,plain,
spl31_27,
inference(avatar_contradiction_clause,[],[f1962]) ).
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
| ~ spl31_22
| ~ spl31_23
| ~ spl31_24
| ~ spl31_25
| ~ spl31_26
| ~ spl31_27 ),
inference(sat_conversion,[],[f588]) ).
cnf(s2,plain,
spl31_21,
inference(sat_conversion,[],[f589]) ).
cnf(s3,plain,
spl31_20,
inference(sat_conversion,[],[f590]) ).
cnf(s4,plain,
spl31_19,
inference(sat_conversion,[],[f591]) ).
cnf(s5,plain,
spl31_18,
inference(sat_conversion,[],[f592]) ).
cnf(s6,plain,
spl31_17,
inference(sat_conversion,[],[f593]) ).
cnf(s7,plain,
spl31_16,
inference(sat_conversion,[],[f594]) ).
cnf(s8,plain,
spl31_15,
inference(sat_conversion,[],[f595]) ).
cnf(s9,plain,
spl31_14,
inference(sat_conversion,[],[f596]) ).
cnf(s10,plain,
spl31_13,
inference(sat_conversion,[],[f597]) ).
cnf(s11,plain,
spl31_12,
inference(sat_conversion,[],[f598]) ).
cnf(s12,plain,
spl31_11,
inference(sat_conversion,[],[f599]) ).
cnf(s13,plain,
spl31_10,
inference(sat_conversion,[],[f600]) ).
cnf(s14,plain,
spl31_9,
inference(sat_conversion,[],[f601]) ).
cnf(s15,plain,
spl31_8,
inference(sat_conversion,[],[f602]) ).
cnf(s16,plain,
spl31_7,
inference(sat_conversion,[],[f603]) ).
cnf(s17,plain,
spl31_6,
inference(sat_conversion,[],[f604]) ).
cnf(s18,plain,
spl31_5,
inference(sat_conversion,[],[f605]) ).
cnf(s19,plain,
spl31_4,
inference(sat_conversion,[],[f606]) ).
cnf(s20,plain,
spl31_3,
inference(sat_conversion,[],[f607]) ).
cnf(s21,plain,
spl31_2,
inference(sat_conversion,[],[f608]) ).
cnf(s22,plain,
spl31_1,
inference(sat_conversion,[],[f609]) ).
cnf(s29,plain,
( spl31_22
| spl31_34
| ~ spl31_35 ),
inference(sat_conversion,[],[f997]) ).
cnf(s35,plain,
spl31_42,
inference(sat_conversion,[],[f1183]) ).
cnf(s37,plain,
~ spl31_34,
inference(sat_conversion,[],[f1240]) ).
cnf(s38,plain,
( spl31_35
| spl31_36
| ~ spl31_37 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s39,plain,
~ spl31_36,
inference(sat_conversion,[],[f1257]) ).
cnf(s40,plain,
( spl31_37
| spl31_38
| ~ spl31_39 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s41,plain,
~ spl31_38,
inference(sat_conversion,[],[f1274]) ).
cnf(s42,plain,
( spl31_39
| spl31_41
| ~ spl31_42 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s43,plain,
~ spl31_41,
inference(sat_conversion,[],[f1352]) ).
cnf(s47,plain,
( spl31_23
| spl31_43
| ~ spl31_44 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s53,plain,
( spl31_47
| spl31_48 ),
inference(sat_conversion,[],[f1521]) ).
cnf(s55,plain,
~ spl31_43,
inference(sat_conversion,[],[f1537]) ).
cnf(s56,plain,
( spl31_44
| spl31_45
| ~ spl31_46 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s58,plain,
~ spl31_45,
inference(sat_conversion,[],[f1558]) ).
cnf(s59,plain,
( spl31_46
| spl31_47
| ~ spl31_48 ),
inference(sat_conversion,[],[f1559]) ).
cnf(s61,plain,
~ spl31_47,
inference(sat_conversion,[],[f1580]) ).
cnf(s64,plain,
( spl31_24
| spl31_49
| ~ spl31_50 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s68,plain,
spl31_54,
inference(sat_conversion,[],[f1689]) ).
cnf(s70,plain,
~ spl31_49,
inference(sat_conversion,[],[f1765]) ).
cnf(s71,plain,
( spl31_50
| spl31_51
| ~ spl31_54 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s73,plain,
~ spl31_51,
inference(sat_conversion,[],[f1823]) ).
cnf(s76,plain,
( spl31_25
| spl31_55
| ~ spl31_56 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s77,plain,
( spl31_52
| spl31_56 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s80,plain,
~ spl31_52,
inference(sat_conversion,[],[f1884]) ).
cnf(s82,plain,
~ spl31_55,
inference(sat_conversion,[],[f1911]) ).
cnf(s87,plain,
spl31_26,
inference(sat_conversion,[],[f1961]) ).
cnf(s88,plain,
spl31_27,
inference(sat_conversion,[],[f1963]) ).
cnf(s89,plain,
spl31_56,
inference(rat,[],[s77,s80]) ).
cnf(s90,plain,
spl31_25,
inference(rat,[],[s76,s89,s82]) ).
cnf(s91,plain,
( spl31_50
| ~ spl31_54 ),
inference(rat,[],[s71,s73]) ).
cnf(s92,plain,
spl31_50,
inference(rat,[],[s91,s68]) ).
cnf(s94,plain,
spl31_24,
inference(rat,[],[s64,s92,s70]) ).
cnf(s95,plain,
( spl31_46
| ~ spl31_48 ),
inference(rat,[],[s59,s61]) ).
cnf(s96,plain,
( spl31_44
| ~ spl31_46 ),
inference(rat,[],[s56,s58]) ).
cnf(s97,plain,
spl31_48,
inference(rat,[],[s53,s61]) ).
cnf(s98,plain,
spl31_46,
inference(rat,[],[s95,s97]) ).
cnf(s99,plain,
spl31_44,
inference(rat,[],[s96,s98]) ).
cnf(s100,plain,
spl31_23,
inference(rat,[],[s47,s99,s55]) ).
cnf(s101,plain,
( spl31_39
| ~ spl31_42 ),
inference(rat,[],[s42,s43]) ).
cnf(s102,plain,
( spl31_37
| ~ spl31_39 ),
inference(rat,[],[s40,s41]) ).
cnf(s104,plain,
( spl31_35
| ~ spl31_37 ),
inference(rat,[],[s38,s39]) ).
cnf(s105,plain,
spl31_39,
inference(rat,[],[s101,s35]) ).
cnf(s106,plain,
spl31_37,
inference(rat,[],[s102,s105]) ).
cnf(s107,plain,
spl31_35,
inference(rat,[],[s104,s106]) ).
cnf(s108,plain,
spl31_22,
inference(rat,[],[s29,s107,s37]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s1,s88,s87,s90,s94,s100,s108,s2,s3,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22]) ).
fof(f1964,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:50:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.18/0.28 % (2288326)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (2288332)% WARNING: option uhcvi not known.
% 0.18/0.28 % (2288332)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1878705985:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (2288331)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4291832903_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (2288333)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2443569747:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (2288335)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=21699827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (2288334)dis+10_1_sil=32000:sp=arity:random_seed=1973842030:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (2288337)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2735424638:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (2288336)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=491357492:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (2288332) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2288326-2288332"...
% 0.18/0.28 % (2288332)...printing done.
% 0.18/0.28 % (2288332)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Theorem for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (2288332)------------------------------
% 0.18/0.28 % (2288332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (2288332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (2288332)CaDiCaL version: 2.1.3
% 0.18/0.28 % (2288332)Termination reason: Refutation
% 0.18/0.28 % (2288332)Time elapsed: 0.031 s
% 0.18/0.28 % (2288332)Peak memory usage: 13 MB
% 0.18/0.28 % (2288332)Instructions burned: 92 (million)
% 0.18/0.28 % (2288326)Success in time 0.059 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------