%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : 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 : Fri Sep 25 03:16:39 PM UTC 2026
% Result : Theorem 4.33s 6.32s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 27 unt; 0 def)
% Number of atoms : 405 ( 241 equ)
% Maximal formula atoms : 45 ( 6 avg)
% Number of connectives : 429 ( 89 ~; 100 |; 228 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn 64 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f53,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(u_defuse,X0,X1) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
fof(f54,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(u_defuse,X0,X1) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f94,plain,
( ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X4,X5] :
( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& use != a_select3(u_defuse,X4,X5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X4,X5] :
( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& use != a_select3(u_defuse,X4,X5) ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(ennf_transformation,[],[f85]) ).
fof(f97,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(flattening,[],[f98]) ).
fof(f107,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f87]) ).
fof(f108,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f107]) ).
fof(f117,plain,
( ! [X4,X5] :
( ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X0,X1] :
( leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& use != a_select3(u_defuse,X0,X1) ) ),
inference(rectify,[],[f95]) ).
fof(f118,plain,
( ! [X4,X5] :
( ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& leq(sK1,pv5)
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0)
& use != a_select3(u_defuse,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f117]) ).
fof(f119,plain,
! [X0,X1] :
( ( ~ leq(X0,pred(X1))
| gt(X1,X0) )
& ( ~ gt(X1,X0)
| leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f123,plain,
! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f125,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f118]) ).
fof(f126,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f118]) ).
fof(f142,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f118]) ).
fof(f143,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f118]) ).
fof(f144,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f118]) ).
fof(f154,plain,
leq(sK1,pv5),
inference(cnf_transformation,[],[f118]) ).
fof(f155,plain,
leq(sK0,n2),
inference(cnf_transformation,[],[f118]) ).
fof(f156,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f118]) ).
fof(f157,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f158,plain,
use != a_select3(u_defuse,sK0,sK1),
inference(cnf_transformation,[],[f118]) ).
fof(f159,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f160,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f165,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f177,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_49,negated_conjecture,
a_select3(u_defuse,sK0,sK1) != use,
inference(cnf_transformation,[],[f158]) ).
tcf(c_50,negated_conjecture,
leq(n0,sK0),
inference(cnf_transformation,[],[f157]) ).
tcf(c_51,negated_conjecture,
leq(n0,sK1),
inference(cnf_transformation,[],[f156]) ).
tcf(c_52,negated_conjecture,
leq(sK0,n2),
inference(cnf_transformation,[],[f155]) ).
tcf(c_53,negated_conjecture,
leq(sK1,pv5),
inference(cnf_transformation,[],[f154]) ).
tcf(c_63,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f144]) ).
tcf(c_64,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f143]) ).
tcf(c_65,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f142]) ).
tcf(c_81,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f126]) ).
tcf(c_82,negated_conjecture,
leq(pv5,n0),
inference(cnf_transformation,[],[f125]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X1,X0) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,pred(pv5)) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_86,plain,
! [X0: $i] :
( ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( leq(X1,pred(X0))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_104,plain,
! [X0: $i] :
( ( X0 = n1 )
| ( X0 = n2 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_2001,plain,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X0,X1) = use )
| ~ gt(pv5,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_91,c_84]) ).
tcf(c_2135,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK0,X0) = use )
| ~ leq(sK0,n2)
| ~ gt(pv5,X0)
| ~ leq(n0,X0) ),
inference(superposition,[status(thm)],[c_50,c_2001]) ).
tcf(c_2172,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK0,X0) = use )
| ~ gt(pv5,X0)
| ~ leq(n0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2135,c_52]) ).
tcf(c_3016,plain,
( gt(pv5,sK1)
| ( sK1 = pv5 ) ),
inference(superposition,[status(thm)],[c_53,c_87]) ).
tcf(c_3594,plain,
( ( sK1 = pv5 )
| ( a_select3(u_defuse,sK0,sK1) = use )
| ~ leq(n0,sK1) ),
inference(superposition,[status(thm)],[c_3016,c_2172]) ).
tcf(c_3601,plain,
sK1 = pv5,
inference(forward_subsumption_resolution,[status(thm)],[c_3594,c_49,c_51]) ).
tcf(c_3606,plain,
a_select3(u_defuse,sK0,pv5) != use,
inference(demodulation,[status(thm)],[c_49,c_3601]) ).
tcf(c_3952,plain,
( ( n0 = pv5 )
| ~ leq(pv5,n0) ),
inference(superposition,[status(thm)],[c_81,c_86]) ).
tcf(c_3974,plain,
n0 = pv5,
inference(forward_subsumption_resolution,[status(thm)],[c_3952,c_82]) ).
tcf(c_4158,plain,
( ( sK0 = n1 )
| ( sK0 = n2 )
| ( sK0 = n0 )
| ~ leq(sK0,n2) ),
inference(superposition,[status(thm)],[c_50,c_104]) ).
tcf(c_4184,plain,
( ( sK0 = n1 )
| ( sK0 = n2 )
| ( sK0 = n0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4158,c_52]) ).
tcf(c_4303,plain,
a_select3(u_defuse,sK0,n0) != use,
inference(light_normalisation,[status(thm)],[c_3606,c_3974]) ).
tcf(c_4694,plain,
( ( sK0 = n1 )
| ( sK0 = n0 )
| ( a_select3(u_defuse,n2,n0) != use ) ),
inference(superposition,[status(thm)],[c_4184,c_4303]) ).
tcf(c_4710,plain,
( ( sK0 = n1 )
| ( sK0 = n0 ) ),
inference(ground_joinability,[status(thm)],[c_4694,c_65]) ).
tcf(c_4724,plain,
( ( sK0 = n1 )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(superposition,[status(thm)],[c_4710,c_4303]) ).
tcf(c_4730,plain,
sK0 = n1,
inference(ground_joinability,[status(thm)],[c_4724,c_63]) ).
tcf(c_4736,plain,
a_select3(u_defuse,n1,n0) != use,
inference(demodulation,[status(thm)],[c_4303,c_4730]) ).
tcf(c_4743,plain,
$false,
inference(ground_joinability,[status(thm)],[c_4736,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n007.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Thu Sep 24 18:43:13 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.46 % Proving...
% 4.33/6.32 % SZS status Started for theBenchmark.p
% 4.33/6.32 % SZS status Theorem for theBenchmark.p
% 4.33/6.32
% 4.33/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.33/6.32
% 4.33/6.32 % ------ iProver source info
% 4.33/6.32
% 4.33/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.33/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.33/6.32 % git: non_committed_changes: false
% 4.33/6.32
% 4.33/6.32 % ------ Parsing...
% 4.33/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.33/6.32
% 4.33/6.32 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.33/6.32
% 4.33/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.33/6.32
% 4.33/6.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.33/6.32 % ------ Proving...
% 4.33/6.32 % ------ Problem Properties
% 4.33/6.32
% 4.33/6.32 %
% 4.33/6.32 % clauses 104
% 4.33/6.32 % conjectures 37
% 4.33/6.32 % EPR 48
% 4.33/6.32 % Horn 97
% 4.33/6.32 % unary 83
% 4.33/6.32 % binary 9
% 4.33/6.32 % lits 156
% 4.33/6.32 % lits eq 70
% 4.33/6.32 % fd_pure 0
% 4.33/6.32 % fd_pseudo 0
% 4.33/6.32 % fd_cond 6
% 4.33/6.32 % fd_pseudo_cond 2
% 4.33/6.32 % AC symbols 0
% 4.33/6.32
% 4.33/6.32 % ------ Schedule dynamic 5 is on
% 4.33/6.32
% 4.33/6.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.33/6.32
% 4.33/6.32
% 4.33/6.32 % ------
% 4.33/6.32 % Current options:
% 4.33/6.32 % ------
% 4.33/6.32
% 4.33/6.32
% 4.33/6.32 %
% 4.33/6.32
% 4.33/6.32 % ------ Proving...
% 4.33/6.32 %
% 4.33/6.32
% 4.33/6.32 % SZS status Theorem for theBenchmark.p
% 4.33/6.32
% 4.33/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/6.32
% 4.33/6.32
%------------------------------------------------------------------------------