%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 03:11:00 PM UTC 2026
% Result : Unsatisfiable 4.79s 1.14s
% Output : Proof 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 119 ( 56 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,negated_conjecture,
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,n)
| ~ less(j,Y)
| ~ less(X,i)
| ~ less_or_equal(m,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X,Y] :
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,n)
| ~ less(j,Y)
| ~ less(X,i)
| ~ less_or_equal(m,X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,n)
| ~ less(j,Y)
| ~ less(X,i)
| ~ less_or_equal(m,X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( less_or_equal(a(X0),a(X1))
| ~ less_or_equal(X1,n)
| ~ less(j,X1)
| ~ less(X0,i)
| ~ less_or_equal(m,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f2,negated_conjecture,
less_or_equal(m,p),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
less_or_equal(m,p),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
less_or_equal(m,p),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(p15,plain,
( less_or_equal(a(p),a(X0))
| ~ less_or_equal(X0,n)
| ~ less(j,X0)
| ~ less(p,i) ),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(f0,negated_conjecture,
( less(Y,X)
| less_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( less(Y,X)
| less_or_equal(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( less(Y,X)
| less_or_equal(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( less(X1,X0)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p20,plain,
( less_or_equal(i,p)
| less_or_equal(a(p),a(X0))
| ~ less_or_equal(X0,n)
| ~ less(j,X0) ),
inference(resolution,[status(thm)],[p15,c0]) ).
cnf(p22,plain,
( less_or_equal(X0,j)
| less_or_equal(i,p)
| less_or_equal(a(p),a(X0))
| ~ less_or_equal(X0,n) ),
inference(resolution,[status(thm)],[p20,c0]) ).
cnf(f4,negated_conjecture,
less_or_equal(q,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
less_or_equal(q,n),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
less_or_equal(q,n),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p23,plain,
( less_or_equal(q,j)
| less_or_equal(i,p)
| less_or_equal(a(p),a(q)) ),
inference(resolution,[status(thm)],[p22,c4]) ).
cnf(f8,negated_conjecture,
~ less_or_equal(a(p),a(q)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
~ less_or_equal(a(p),a(q)),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
~ less_or_equal(a(p),a(q)),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
~ less_or_equal(a(p),a(q)),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p24,plain,
( less_or_equal(q,j)
| less_or_equal(i,p) ),
inference(resolution,[status(thm)],[p23,c8]) ).
cnf(f6,negated_conjecture,
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,j)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(m,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X,Y] :
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,j)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(m,X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,j)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(m,X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( less_or_equal(a(X0),a(X1))
| ~ less_or_equal(X1,j)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(m,X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p12,plain,
( less_or_equal(a(p),a(X0))
| ~ less_or_equal(X0,j)
| ~ less_or_equal(p,X0) ),
inference(resolution,[status(thm)],[c6,c2]) ).
cnf(f3,negated_conjecture,
less_or_equal(p,q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
less_or_equal(p,q),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
less_or_equal(p,q),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p16,plain,
( less_or_equal(a(p),a(q))
| ~ less_or_equal(q,j) ),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(p25,plain,
( less_or_equal(a(p),a(q))
| less_or_equal(i,p) ),
inference(resolution,[status(thm)],[p24,p16]) ).
cnf(p26,plain,
less_or_equal(i,p),
inference(resolution,[status(thm)],[p25,c8]) ).
cnf(f7,negated_conjecture,
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,n)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(i,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
! [X,Y] :
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,n)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(i,X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] :
( less_or_equal(a(X),a(Y))
| ~ less_or_equal(Y,n)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(i,X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( less_or_equal(a(X0),a(X1))
| ~ less_or_equal(X1,n)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(i,X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p27,plain,
( less_or_equal(a(p),a(X0))
| ~ less_or_equal(X0,n)
| ~ less_or_equal(p,X0) ),
inference(resolution,[status(thm)],[p26,c7]) ).
cnf(p28,plain,
( less_or_equal(a(p),a(q))
| ~ less_or_equal(q,n) ),
inference(resolution,[status(thm)],[p27,c3]) ).
cnf(p29,plain,
less_or_equal(a(p),a(q)),
inference(resolution,[status(thm)],[p28,c4]) ).
cnf(p30,plain,
$false,
inference(resolution,[status(thm)],[p29,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:17:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.79/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.79/1.14 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------