%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV174+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 26.91s 4.46s
% Output : Proof 26.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 99 ( 19 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 110 ( 32 ~; 27 |; 38 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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 : 30 ( 0 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f9_nnf,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c12,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f52,conjecture,
( ( ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = init )
& ! [A] :
( ( leq(A,pred(pv10))
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [D,E] :
( ( leq(E,n4)
& leq(D,n135299)
& leq(n0,E)
& leq(n0,D) )
=> ( gt(pv10,D)
=> a_select3(q_init,D,E) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(f52_neg,negated_conjecture,
~ ( ( ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = init )
& ! [A] :
( ( leq(A,pred(pv10))
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [D,E] :
( ( leq(E,n4)
& leq(D,n135299)
& leq(n0,E)
& leq(n0,D) )
=> ( gt(pv10,D)
=> a_select3(q_init,D,E) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ? [D,E] :
( a_select3(q_init,D,E) != init
& gt(pv10,D)
& leq(E,n4)
& leq(D,n135299)
& leq(n0,E)
& leq(n0,D) )
& ! [C] :
( a_select3(center_init,C,n0) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B) )
| ~ leq(A,pred(pv10))
| ~ leq(n0,A) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B,C] :
( a_select3(q_init,sk27,sk28) != init
& gt(pv10,sk27)
& leq(sk28,n4)
& leq(sk27,n135299)
& leq(n0,sk28)
& leq(n0,sk27)
& ( a_select3(center_init,C,n0) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B)
| ~ leq(A,pred(pv10))
| ~ leq(n0,A) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk27,sk28])],[f52_nnf]) ).
cnf(c263,plain,
gt(pv10,sk27),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p614,plain,
leq(sk27,pred(pv10)),
inference(resolution,[status(thm)],[c12,c263]) ).
cnf(c257,plain,
( a_select3(q_init,X0,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c259,plain,
leq(n0,sk27),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p309,plain,
( a_select3(q_init,sk27,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(sk27,pred(pv10)) ),
inference(resolution,[status(thm)],[c257,c259]) ).
cnf(p629,plain,
( a_select3(q_init,sk27,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[p614,p309]) ).
cnf(c260,plain,
leq(n0,sk28),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p633,plain,
( a_select3(q_init,sk27,sk28) = init
| ~ leq(sk28,n4) ),
inference(resolution,[status(thm)],[p629,c260]) ).
cnf(c262,plain,
leq(sk28,n4),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p641,plain,
a_select3(q_init,sk27,sk28) = init,
inference(resolution,[status(thm)],[p633,c262]) ).
cnf(c264,plain,
a_select3(q_init,sk27,sk28) != init,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p642,plain,
init != init,
inference(demodulation,[status(thm)],[p641,c264]) ).
cnf(p643,plain,
$false,
inference(equality_resolution,[status(thm)],[p642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV174+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n006.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 18:40:41 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.91/4.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.91/4.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------