%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 03:12:24 PM UTC 2026
% Result : Theorem 25.32s 8.79s
% Output : Proof 25.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 162 ( 47 equ)
% Maximal formula atoms : 35 ( 10 avg)
% Number of connectives : 203 ( 57 ~; 52 |; 68 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(I,n4)
& leq(n0,I) )
=> a_select2(sigmaold_init,I) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(center_init,F,n0) = init )
& ! [E] :
( ( leq(E,pred(pv40))
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,pred(pv40))
& leq(n0,D) )
=> a_select2(mu_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> a_select3(q_init,pv46,pv40) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).
fof(f52_neg,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(I,n4)
& leq(n0,I) )
=> a_select2(sigmaold_init,I) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(center_init,F,n0) = init )
& ! [E] :
( ( leq(E,pred(pv40))
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,pred(pv40))
& leq(n0,D) )
=> a_select2(mu_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> a_select3(q_init,pv46,pv40) = init ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( a_select3(q_init,pv46,pv40) != init
& ( ! [I] :
( a_select2(sigmaold_init,I) = init
| ~ leq(I,n4)
| ~ leq(n0,I) )
| ~ gt(loopcounter,n1) )
& ( ! [H] :
( a_select2(rhoold_init,H) = init
| ~ leq(H,n4)
| ~ leq(n0,H) )
| ~ gt(loopcounter,n1) )
& ( ! [G] :
( a_select2(muold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ! [F] :
( a_select3(center_init,F,n0) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
& ! [E] :
( a_select2(sigma_init,E) = init
| ~ leq(E,pred(pv40))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(mu_init,D) = init
| ~ leq(D,pred(pv40))
| ~ leq(n0,D) )
& ! [C] :
( a_select2(rho_init,C) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B) )
| ~ leq(A,n135299)
| ~ leq(n0,A) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B,C,D,E,F,G,H,I] :
( a_select3(q_init,pv46,pv40) != init
& ( a_select2(sigmaold_init,I) = init
| ~ leq(I,n4)
| ~ leq(n0,I)
| ~ gt(loopcounter,n1) )
& ( a_select2(rhoold_init,H) = init
| ~ leq(H,n4)
| ~ leq(n0,H)
| ~ gt(loopcounter,n1) )
& ( a_select2(muold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G)
| ~ gt(loopcounter,n1) )
& ( a_select3(center_init,F,n0) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
& ( a_select2(sigma_init,E) = init
| ~ leq(E,pred(pv40))
| ~ leq(n0,E) )
& ( a_select2(mu_init,D) = init
| ~ leq(D,pred(pv40))
| ~ leq(n0,D) )
& ( a_select2(rho_init,C) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B)
| ~ leq(A,n135299)
| ~ leq(n0,A) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c260,plain,
( a_select3(q_init,X0,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c257,plain,
leq(n0,pv46),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p319,plain,
( a_select3(q_init,pv46,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(pv46,n135299) ),
inference(resolution,[status(thm)],[c260,c257]) ).
cnf(c259,plain,
leq(pv46,n135299),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p325,plain,
( a_select3(q_init,pv46,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[p319,c259]) ).
cnf(c256,plain,
leq(n0,pv40),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p327,plain,
( a_select3(q_init,pv46,pv40) = init
| ~ leq(pv40,n4) ),
inference(resolution,[status(thm)],[p325,c256]) ).
cnf(c258,plain,
leq(pv40,n4),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p328,plain,
a_select3(q_init,pv46,pv40) = init,
inference(resolution,[status(thm)],[p327,c258]) ).
cnf(c268,plain,
a_select3(q_init,pv46,pv40) != init,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p329,plain,
init != init,
inference(demodulation,[status(thm)],[p328,c268]) ).
cnf(p330,plain,
$false,
inference(equality_resolution,[status(thm)],[p329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.36 % Computer : n014.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Thu Sep 24 18:40:09 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.32/8.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.32/8.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------