%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV169+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 : n004.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 23.29s 4.21s
% Output : Proof 23.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 123 ( 29 equ)
% Maximal formula atoms : 28 ( 10 avg)
% Number of connectives : 153 ( 42 ~; 37 |; 58 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select3(center_init,G,n0) = init )
& ! [E] :
( ( leq(E,pred(pv10))
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(q_init,E,F) = init ) )
& ! [C,D] :
( ( leq(D,n4)
& leq(C,n135299)
& leq(n0,D)
& leq(n0,C) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [A,B] :
( ( leq(B,n4)
& leq(A,n135299)
& leq(n0,B)
& leq(n0,A) )
=> ( ( gt(pv11,B)
& A = pv10 )
=> a_select3(q_init,A,B) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> a_select3(center_init,pv65,n0) = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0021) ).
fof(f52_neg,negated_conjecture,
~ ( ( ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select3(center_init,G,n0) = init )
& ! [E] :
( ( leq(E,pred(pv10))
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(q_init,E,F) = init ) )
& ! [C,D] :
( ( leq(D,n4)
& leq(C,n135299)
& leq(n0,D)
& leq(n0,C) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [A,B] :
( ( leq(B,n4)
& leq(A,n135299)
& leq(n0,B)
& leq(n0,A) )
=> ( ( gt(pv11,B)
& A = pv10 )
=> a_select3(q_init,A,B) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> a_select3(center_init,pv65,n0) = init ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( a_select3(center_init,pv65,n0) != init
& ! [G] :
( a_select3(center_init,G,n0) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
& ! [E] :
( ! [F] :
( a_select3(q_init,E,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ leq(E,pred(pv10))
| ~ leq(n0,E) )
& ! [C,D] :
( a_select3(q_init,C,D) = init
| ~ gt(pv10,C)
| ~ leq(D,n4)
| ~ leq(C,n135299)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(q_init,A,B) = init
| ~ gt(pv11,B)
| A != pv10
| ~ leq(B,n4)
| ~ leq(A,n135299)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B,C,D,E,F,G] :
( a_select3(center_init,pv65,n0) != init
& ( a_select3(center_init,G,n0) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
& ( a_select3(q_init,E,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F)
| ~ leq(E,pred(pv10))
| ~ leq(n0,E) )
& ( a_select3(q_init,C,D) = init
| ~ gt(pv10,C)
| ~ leq(D,n4)
| ~ leq(C,n135299)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ( a_select3(q_init,A,B) = init
| ~ gt(pv11,B)
| A != pv10
| ~ leq(B,n4)
| ~ leq(A,n135299)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c264,plain,
( a_select3(center_init,X6,n0) = init
| ~ leq(X6,n4)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c257,plain,
leq(n0,pv65),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p364,plain,
( a_select3(center_init,pv65,n0) = init
| ~ leq(pv65,n4) ),
inference(resolution,[status(thm)],[c264,c257]) ).
cnf(c260,plain,
leq(pv65,n4),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p366,plain,
a_select3(center_init,pv65,n0) = init,
inference(resolution,[status(thm)],[p364,c260]) ).
cnf(c265,plain,
a_select3(center_init,pv65,n0) != init,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p367,plain,
init != init,
inference(demodulation,[status(thm)],[p366,c265]) ).
cnf(p368,plain,
$false,
inference(equality_resolution,[status(thm)],[p367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV169+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.78 % Computer : n004.cluster.edu
% 0.10/0.78 % Model : x86_64 x86_64
% 0.10/0.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.78 % Memory : 8046.5625MB
% 0.10/0.78 % OS : Linux 6.8.0-71-generic
% 0.10/0.78 % CPULimit : 300
% 0.10/0.78 % WCLimit : 300
% 0.10/0.78 % DateTime : Thu Sep 24 18:40:09 UTC 2026
% 0.10/0.79 % CPUTime :
% 0.10/0.79 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.29/4.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.29/4.21 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------