%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 03:11:00 PM UTC 2026
% Result : Unsatisfiable 44.94s 11.14s
% Output : Proof 44.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 82 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 31 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn 20 !; 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(f22,negated_conjecture,
( ~ less_than(a(X),a(k))
| ~ less_than(X,successor(n))
| less_than(X,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f22_nnf,plain,
! [X] :
( ~ less_than(a(X),a(k))
| ~ less_than(X,successor(n))
| less_than(X,i) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X] :
( ~ less_than(a(X),a(k))
| ~ less_than(X,successor(n))
| less_than(X,i) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,successor(n))
| less_than(X0,i) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p54,plain,
( ~ less_than(a(X0),a(k))
| less_than(X0,i)
| X0 = successor(n)
| less_than(successor(n),X0) ),
inference(resolution,[status(thm)],[c7,c22]) ).
cnf(f19,negated_conjecture,
less_than(a(m),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f19_nnf,plain,
less_than(a(m),a(k)),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
less_than(a(m),a(k)),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(p191,plain,
( less_than(m,i)
| m = successor(n)
| less_than(successor(n),m) ),
inference(resolution,[status(thm)],[p54,c19]) ).
cnf(f6,axiom,
( ~ less_than(Y,Z)
| ~ less_than(X,Y)
| less_than(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).
fof(f6_nnf,plain,
! [X,Z,Y] :
( ~ less_than(Y,Z)
| ~ less_than(X,Y)
| less_than(X,Z) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Z,Y] :
( ~ less_than(Y,Z)
| ~ less_than(X,Y)
| less_than(X,Z) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| less_than(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f4,axiom,
less_than(predecessor(X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predecessor_less_than) ).
fof(f4_nnf,plain,
! [X] : less_than(predecessor(X),X),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : less_than(predecessor(X),X),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
less_than(predecessor(X0),X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p38,plain,
( ~ less_than(X0,X1)
| less_than(predecessor(X0),X1) ),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(p1503,plain,
( less_than(n,m)
| less_than(m,i)
| m = successor(n) ),
inference(resolution,[status(thm)],[p191,p38]) ).
cnf(f5,axiom,
less_than(X,successor(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_than_successor) ).
fof(f5_nnf,plain,
! [X] : less_than(X,successor(X)),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] : less_than(X,successor(X)),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
less_than(X0,successor(X0)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p8622,plain,
( less_than(n,m)
| less_than(n,m)
| less_than(m,i) ),
inference(superposition,[status(thm)],[p1503,c5]) ).
cnf(p8764,plain,
( less_than(n,m)
| less_than(m,i) ),
inference(factoring,[status(thm)],[p8622]) ).
cnf(f9,axiom,
( ~ less_than(Y,X)
| ~ less_than(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anti_symmetry_of_less_than) ).
fof(f9_nnf,plain,
! [X,Y] :
( ~ less_than(Y,X)
| ~ less_than(X,Y) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ~ less_than(Y,X)
| ~ less_than(X,Y) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f16,negated_conjecture,
less_than(i,m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f16_nnf,plain,
less_than(i,m),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
less_than(i,m),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(p31,plain,
~ less_than(m,i),
inference(resolution,[status(thm)],[c9,c16]) ).
cnf(p8766,plain,
less_than(n,m),
inference(resolution,[status(thm)],[p8764,p31]) ).
cnf(f15,negated_conjecture,
~ less_than(n,m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f15_nnf,plain,
~ less_than(n,m),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
~ less_than(n,m),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
~ less_than(n,m),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p8767,plain,
$false,
inference(resolution,[status(thm)],[p8766,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.39 % Computer : n004.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Thu Sep 24 18:17:27 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 44.94/11.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.94/11.14 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------