%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV202+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 : n011.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 01:20:27 PM UTC 2026
% Result : Theorem 0.45s 0.28s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 34 unt; 6 def)
% Number of atoms : 504 ( 277 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 554 ( 152 ~; 134 |; 249 &)
% ( 7 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 76 ( 0 sgn 70 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(u_defuse,X4,X5) = use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0013) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(u_defuse,X4,X5) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f86,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n1) )
=> ( X0 = n0
| X0 = n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f92,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f108,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f108]) ).
fof(f143,plain,
( ? [X4,X5] :
( use != a_select3(u_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ? [X4,X5] :
( use != a_select3(u_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(flattening,[],[f143]) ).
fof(f151,plain,
! [X0] :
( X0 = n0
| X0 = n1
| ~ leq(n0,X0)
| ~ leq(X0,n1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f152,plain,
! [X0] :
( X0 = n0
| X0 = n1
| ~ leq(n0,X0)
| ~ leq(X0,n1) ),
inference(flattening,[],[f151]) ).
fof(f164,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f197,plain,
( ? [X0,X1] :
( use != a_select3(u_defuse,X0,X1)
& ( n0 != X0
| pv5 != X1 )
& ( n1 != X0
| pv5 != X1 )
& ( n2 != X0
| pv5 != X1 )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) )
& ! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( use != a_select3(u_defuse,sK31,sK32)
& ( n0 != sK31
| pv5 != sK32 )
& ( n1 != sK31
| pv5 != sK32 )
& ( n2 != sK31
| pv5 != sK32 )
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,pv5)
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) )
& ! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f207,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f279,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f280,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f289,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f290,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f310,plain,
! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f341,plain,
leq(sK32,pv5),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f343,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f344,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f345,plain,
( n2 != sK31
| pv5 != sK32 ),
inference(cnf_transformation,[],[f198]) ).
fof(f346,plain,
( n1 != sK31
| pv5 != sK32 ),
inference(cnf_transformation,[],[f198]) ).
fof(f347,plain,
( n0 != sK31
| pv5 != sK32 ),
inference(cnf_transformation,[],[f198]) ).
fof(f348,plain,
use != a_select3(u_defuse,sK31,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f380,plain,
! [X0] :
( ~ leq(n0,X0)
| n1 = X0
| n0 = X0
| ~ leq(X0,n1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f385,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f386,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f388,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f207,f289]) ).
fof(f395,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f280,f279]) ).
fof(f404,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f290,f289,f279]) ).
fof(f409,plain,
! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ),
inference(definition_unfolding,[],[f310,f289]) ).
fof(f413,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f385,f279]) ).
fof(f414,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f386,f279,f279]) ).
fof(f436,plain,
! [X2,X3] :
( ~ leq(X2,plus(plus(n0,n1),n1))
| use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv5,n1)) ),
inference(forward_demodulation,[],[f409,f414]) ).
fof(f446,plain,
leq(sK31,plus(plus(n0,n1),n1)),
inference(forward_demodulation,[],[f342,f414]) ).
fof(f447,plain,
( sK31 != plus(plus(n0,n1),n1)
| pv5 != sK32 ),
inference(forward_demodulation,[],[f345,f414]) ).
fof(f449,definition,
( spl33_1
<=> pv5 = sK32 ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f451,plain,
( pv5 != sK32
| spl33_1 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f453,definition,
( spl33_2
<=> n1 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f455,plain,
( n1 != sK31
| spl33_2 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f456,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f346,f453,f449]) ).
fof(f458,definition,
( spl33_3
<=> n0 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f460,plain,
( n0 != sK31
| spl33_3 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,plain,
( ~ spl33_1
| ~ spl33_3 ),
inference(avatar_split_clause,[],[f347,f458,f449]) ).
fof(f486,plain,
! [X2,X3] :
( ~ leq(X2,plus(n1,plus(n0,n1)))
| use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv5,n1)) ),
inference(forward_demodulation,[],[f436,f395]) ).
fof(f496,plain,
leq(sK31,plus(n1,plus(n0,n1))),
inference(forward_demodulation,[],[f446,f395]) ).
fof(f497,plain,
( sK31 != plus(n1,plus(n0,n1))
| pv5 != sK32 ),
inference(forward_demodulation,[],[f447,f395]) ).
fof(f522,plain,
! [X2,X3] :
( ~ leq(X2,plus(n1,n1))
| use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv5,n1)) ),
inference(forward_demodulation,[],[f486,f413]) ).
fof(f532,plain,
leq(sK31,plus(n1,n1)),
inference(forward_demodulation,[],[f496,f413]) ).
fof(f533,plain,
( sK31 != plus(n1,n1)
| pv5 != sK32 ),
inference(forward_demodulation,[],[f497,f413]) ).
fof(f556,definition,
( spl33_4
<=> sK31 = plus(n1,n1) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f559,plain,
( ~ spl33_1
| ~ spl33_4 ),
inference(avatar_split_clause,[],[f533,f556,f449]) ).
fof(f595,plain,
! [X0] :
( use = a_select3(u_defuse,sK31,X0)
| ~ leq(n0,sK31)
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv5,n1)) ),
inference(resolution,[],[f522,f532]) ).
fof(f596,plain,
! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,sK31,X0)
| ~ leq(X0,minus(pv5,n1)) ),
inference(forward_subsumption_resolution,[],[f595,f344]) ).
fof(f610,definition,
( spl33_7
<=> leq(sK32,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f611,plain,
( leq(sK32,minus(pv5,n1))
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f612,plain,
( ~ leq(sK32,minus(pv5,n1))
| spl33_7 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f652,plain,
( use = a_select3(u_defuse,sK31,sK32)
| ~ leq(sK32,minus(pv5,n1)) ),
inference(resolution,[],[f596,f343]) ).
fof(f1304,plain,
( gt(plus(n1,n1),sK31)
| sK31 = plus(n1,n1) ),
inference(resolution,[],[f205,f532]) ).
fof(f1305,plain,
( gt(pv5,sK32)
| pv5 = sK32 ),
inference(resolution,[],[f205,f341]) ).
fof(f1307,plain,
( gt(pv5,sK32)
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f1305,f451]) ).
fof(f1309,definition,
( spl33_39
<=> gt(plus(n1,n1),sK31) ),
introduced(definition,[new_symbols(definition,[spl33_39])],[avatar_definition]) ).
fof(f1311,plain,
( gt(plus(n1,n1),sK31)
| ~ spl33_39 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1312,plain,
( spl33_4
| spl33_39 ),
inference(avatar_split_clause,[],[f1304,f1309,f556]) ).
fof(f1364,plain,
( leq(sK32,minus(pv5,n1))
| spl33_1 ),
inference(resolution,[],[f1307,f388]) ).
fof(f1366,plain,
( $false
| spl33_1
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f1364,f612]) ).
fof(f1367,plain,
( spl33_1
| spl33_7 ),
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1797,plain,
( n1 = sK31
| n0 = sK31
| ~ leq(sK31,n1) ),
inference(resolution,[],[f380,f344]) ).
fof(f1801,plain,
( n0 = sK31
| ~ leq(sK31,n1)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f1797,f455]) ).
fof(f1830,plain,
( ~ leq(sK31,n1)
| spl33_2
| spl33_3 ),
inference(forward_subsumption_resolution,[],[f1801,f460]) ).
fof(f2301,plain,
( leq(sK31,minus(plus(n1,n1),n1))
| ~ spl33_39 ),
inference(resolution,[],[f1311,f388]) ).
fof(f2303,plain,
( leq(sK31,n1)
| ~ spl33_39 ),
inference(forward_demodulation,[],[f2301,f404]) ).
fof(f2306,plain,
( $false
| spl33_2
| spl33_3
| ~ spl33_39 ),
inference(forward_subsumption_resolution,[],[f2303,f1830]) ).
fof(f2307,plain,
( spl33_2
| spl33_3
| ~ spl33_39 ),
inference(avatar_contradiction_clause,[],[f2306]) ).
fof(f2313,plain,
~ leq(sK32,minus(pv5,n1)),
inference(forward_subsumption_resolution,[],[f652,f348]) ).
fof(f2471,plain,
( $false
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f2313,f611]) ).
fof(f2472,plain,
~ spl33_7,
inference(avatar_contradiction_clause,[],[f2471]) ).
cnf(s1,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(sat_conversion,[],[f456]) ).
cnf(s2,plain,
( ~ spl33_1
| ~ spl33_3 ),
inference(sat_conversion,[],[f461]) ).
cnf(s3,plain,
( ~ spl33_1
| ~ spl33_4 ),
inference(sat_conversion,[],[f559]) ).
cnf(s30,plain,
( spl33_4
| spl33_39 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s37,plain,
( spl33_1
| spl33_7 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s56,plain,
( spl33_2
| spl33_3
| ~ spl33_39 ),
inference(sat_conversion,[],[f2307]) ).
cnf(s74,plain,
~ spl33_7,
inference(sat_conversion,[],[f2472]) ).
cnf(s77,plain,
spl33_1,
inference(rat,[],[s37,s74]) ).
cnf(s83,plain,
~ spl33_4,
inference(rat,[],[s3,s77]) ).
cnf(s84,plain,
spl33_39,
inference(rat,[],[s30,s83]) ).
cnf(s85,plain,
~ spl33_3,
inference(rat,[],[s2,s77]) ).
cnf(s86,plain,
spl33_2,
inference(rat,[],[s56,s84,s85]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s1,s86,s77]) ).
fof(f2482,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV202+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n011.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 10:09:45 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.45/0.28 % (3299253)Will run a generic schedule for satisfiability detection.
% 0.45/0.28 % (3299260)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=860025357:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.45/0.28 % (3299259)% WARNING: option uhcvi not known.
% 0.45/0.28 % (3299261)dis+10_1_sil=32000:sp=arity:random_seed=1079354881:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.45/0.28 % (3299258)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3318610992_2999 on theBenchmark for (2999ds/0Mi)
% 0.45/0.28 % (3299259)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1694517264:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.45/0.28 % (3299262)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4063617170:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.45/0.28 % (3299263)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=714986386:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.28 % (3299264)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2888427325:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.45/0.28 % TRYING [1]
% 0.45/0.28 % TRYING [2]
% 0.45/0.28 % (3299263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3299253-3299263"...
% 0.45/0.28 % (3299263)...printing done.
% 0.45/0.28 % (3299263)Refutation found. Thanks to Tanya!
% 0.45/0.28 % SZS status Theorem for theBenchmark
% 0.45/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.28 % (3299263)------------------------------
% 0.45/0.28 % (3299263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.28 % (3299263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.28 % (3299263)CaDiCaL version: 2.1.3
% 0.45/0.28 % (3299263)Termination reason: Refutation
% 0.45/0.28 % (3299263)Time elapsed: 0.049 s
% 0.45/0.28 % (3299263)Peak memory usage: 14 MB
% 0.45/0.28 % (3299263)Instructions burned: 84 (million)
% 0.45/0.28 % (3299253)Success in time 0.088 s
% 0.45/0.28 % Vampire exiting
%------------------------------------------------------------------------------