%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV162+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 02:46:47 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 74 ( 22 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 75 ( 25 ~; 17 |; 25 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 24 ( 23 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [A] :
( ( leq(A,pred(pv10))
& leq(n0,A) )
=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 )
& leq(pv10,n135299)
& leq(n0,pv10)
& sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1 )
=> ! [B] :
( ( leq(B,pv10)
& leq(n0,B) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [A] :
( ( leq(A,pred(pv10))
& leq(n0,A) )
=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 )
& leq(pv10,n135299)
& leq(n0,pv10)
& sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1 )
=> ! [B] :
( ( leq(B,pv10)
& leq(n0,B) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f113,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f118,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f251,plain,
( ? [B] :
( sum(n0,n4,a_select3(q,B,tptp_sum_index)) != n1
& leq(B,pv10)
& leq(n0,B) )
& ! [A] :
( sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1
| ~ leq(A,pred(pv10))
| ~ leq(n0,A) )
& leq(pv10,n135299)
& leq(n0,pv10)
& sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1 ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index)) != n1
& leq(sK23_skl,pv10)
& leq(n0,sK23_skl)
& ! [A] :
( sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1
| ~ leq(A,pred(pv10))
| ~ leq(n0,A) )
& leq(pv10,n135299)
& leq(n0,pv10)
& sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(B,sK23_skl)],[f251]) ).
fof(f253,plain,
sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
! [X0] :
( sum(n0,n4,a_select3(q,X0,tptp_sum_index)) = n1
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
leq(sK23_skl,pv10),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index)) != n1,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f404,plain,
( ~ leq(sK23_skl,pred(pv10))
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f259,f256]) ).
fof(f405,plain,
~ leq(sK23_skl,pred(pv10)),
inference(forward_subsumption_resolution,[status(thm)],[f404,f257]) ).
fof(f493,plain,
~ gt(pv10,sK23_skl),
inference(resolution,[status(thm)],[f405,f118]) ).
fof(f495,plain,
( sK23_skl = pv10
| ~ leq(sK23_skl,pv10) ),
inference(resolution,[status(thm)],[f493,f114]) ).
fof(f498,plain,
sK23_skl = pv10,
inference(forward_subsumption_resolution,[status(thm)],[f495,f258]) ).
fof(f501,plain,
sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) != n1,
inference(backward_demodulation,[status(thm)],[f498,f259]) ).
fof(f507,plain,
n1 != n1,
inference(forward_demodulation,[status(thm)],[f253,f501]) ).
fof(f508,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV162+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:33:19 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.061757 seconds
% 0.12/0.42 % CPU time: 0.191681 seconds
% 0.12/0.42 % Total memory used: 109.520 MB
% 0.12/0.42 % Net memory used: 109.288 MB
%------------------------------------------------------------------------------