%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV175+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:12:25 PM UTC 2026
% Result : Theorem 25.51s 3.79s
% Output : Proof 25.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 134 ( 35 equ)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 167 ( 49 ~; 44 |; 52 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = init )
& ! [C] :
( ( leq(C,pred(pv28))
& 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(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) )
=> a_select3(q_init,pv30,pv28) = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0051) ).
fof(f52_neg,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = init )
& ! [C] :
( ( leq(C,pred(pv28))
& 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(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) )
=> a_select3(q_init,pv30,pv28) = init ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( a_select3(q_init,pv30,pv28) != init
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(rho_init,C) = init
| ~ leq(C,pred(pv28))
| ~ 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(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B,C,D,E,F,G] :
( a_select3(q_init,pv30,pv28) != init
& ( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G)
| ~ gt(loopcounter,n1) )
& ( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F)
| ~ gt(loopcounter,n1) )
& ( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E)
| ~ gt(loopcounter,n1) )
& ( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
& ( a_select2(rho_init,C) = init
| ~ leq(C,pred(pv28))
| ~ leq(n0,C) )
& ( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B)
| ~ leq(A,n135299)
| ~ leq(n0,A) )
& leq(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c259,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(c256,plain,
leq(n0,pv30),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p310,plain,
( a_select3(q_init,pv30,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(pv30,n135299) ),
inference(resolution,[status(thm)],[c259,c256]) ).
cnf(c258,plain,
leq(pv30,n135299),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p320,plain,
( a_select3(q_init,pv30,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[p310,c258]) ).
cnf(c255,plain,
leq(n0,pv28),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p325,plain,
( a_select3(q_init,pv30,pv28) = init
| ~ leq(pv28,n4) ),
inference(resolution,[status(thm)],[p320,c255]) ).
cnf(c257,plain,
leq(pv28,n4),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p326,plain,
a_select3(q_init,pv30,pv28) = init,
inference(resolution,[status(thm)],[p325,c257]) ).
cnf(c265,plain,
a_select3(q_init,pv30,pv28) != init,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p327,plain,
init != init,
inference(demodulation,[status(thm)],[p326,c265]) ).
cnf(p328,plain,
$false,
inference(equality_resolution,[status(thm)],[p327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV175+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 18:40:56 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.51/3.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.51/3.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------