%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 35.60s 5.92s
% Output : Proof 35.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 20 unt; 0 def)
% Number of atoms : 71 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 34 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,axiom,
( X = Y
| less_than(Y,X)
| less_than(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).
fof(f7_nnf,plain,
! [X,Y] :
( X = Y
| less_than(Y,X)
| less_than(X,Y) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] :
( X = Y
| less_than(Y,X)
| less_than(X,Y) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( X0 = X1
| less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(f12,negated_conjecture,
~ less_than(n,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f12_nnf,plain,
~ less_than(n,l),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
~ less_than(n,l),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
~ less_than(n,l),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p39,plain,
( n = l
| less_than(l,n) ),
inference(resolution,[status(thm)],[c7,c12]) ).
cnf(f16,negated_conjecture,
( ~ less_than(a(X),a(predecessor(X)))
| ~ less_than(X,n)
| ~ less_than(one,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f16_nnf,plain,
! [X] :
( ~ less_than(a(X),a(predecessor(X)))
| ~ less_than(X,n)
| ~ less_than(one,X) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X] :
( ~ less_than(a(X),a(predecessor(X)))
| ~ less_than(X,n)
| ~ less_than(one,X) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ less_than(a(X0),a(predecessor(X0)))
| ~ less_than(X0,n)
| ~ less_than(one,X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(f13,negated_conjecture,
less_than(one,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f13_nnf,plain,
less_than(one,l),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
less_than(one,l),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p17,plain,
( ~ less_than(a(l),a(predecessor(l)))
| ~ less_than(l,n) ),
inference(resolution,[status(thm)],[c16,c13]) ).
cnf(p60,plain,
( ~ less_than(a(l),a(predecessor(l)))
| n = l ),
inference(resolution,[status(thm)],[p39,p17]) ).
cnf(f14,negated_conjecture,
less_than(a(l),a(predecessor(l))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f14_nnf,plain,
less_than(a(l),a(predecessor(l))),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
less_than(a(l),a(predecessor(l))),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(p85,plain,
n = l,
inference(resolution,[status(thm)],[p60,c14]) ).
cnf(p86,plain,
less_than(one,n),
inference(superposition,[status(thm)],[p85,c13]) ).
cnf(f15,negated_conjecture,
( ~ less_than(a(X),a(predecessor(n)))
| ~ less_than(one,n)
| less_than(n,X)
| less_than(X,n) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f15_nnf,plain,
! [X] :
( ~ less_than(a(X),a(predecessor(n)))
| ~ less_than(one,n)
| less_than(n,X)
| less_than(X,n) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X] :
( ~ less_than(a(X),a(predecessor(n)))
| ~ less_than(one,n)
| less_than(n,X)
| less_than(X,n) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ less_than(a(X0),a(predecessor(n)))
| ~ less_than(one,n)
| less_than(n,X0)
| less_than(X0,n) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p18,plain,
( ~ less_than(a(n),a(predecessor(n)))
| ~ less_than(one,n)
| less_than(n,n) ),
inference(factoring,[status(thm)],[c15]) ).
cnf(p112,plain,
( ~ less_than(a(n),a(predecessor(n)))
| less_than(n,n) ),
inference(resolution,[status(thm)],[p86,p18]) ).
cnf(p87,plain,
less_than(a(n),a(predecessor(l))),
inference(superposition,[status(thm)],[p85,c14]) ).
cnf(p192,plain,
less_than(a(n),a(predecessor(n))),
inference(superposition,[status(thm)],[p85,p87]) ).
cnf(p453,plain,
less_than(n,n),
inference(resolution,[status(thm)],[p112,p192]) ).
cnf(f8,axiom,
~ less_than(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_not_less_than_x) ).
fof(f8_nnf,plain,
! [X] : ~ less_than(X,X),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] : ~ less_than(X,X),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
~ less_than(X0,X0),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p454,plain,
$false,
inference(resolution,[status(thm)],[p453,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:19:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.60/5.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.60/5.92 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------