%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 03:10:59 PM UTC 2026
% Result : Unsatisfiable 73.95s 9.99s
% Output : Proof 73.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 22 unt; 0 def)
% Number of atoms : 67 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 30 ~; 29 |; 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 14 !; 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(f21,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f21_nnf,plain,
~ less_than(j,q),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
~ less_than(j,q),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
~ less_than(j,q),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p50,plain,
( j = q
| less_than(q,j) ),
inference(resolution,[status(thm)],[c7,c21]) ).
cnf(f17,negated_conjecture,
( ~ less_than(a(X),a(k))
| ~ less_than(X,j)
| less_than(X,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f17_nnf,plain,
! [X] :
( ~ less_than(a(X),a(k))
| ~ less_than(X,j)
| less_than(X,i) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X] :
( ~ less_than(a(X),a(k))
| ~ less_than(X,j)
| less_than(X,i) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,j)
| less_than(X0,i) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p79,plain,
( ~ less_than(a(q),a(k))
| less_than(q,i)
| j = q ),
inference(resolution,[status(thm)],[p50,c17]) ).
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(f22,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f22_nnf,plain,
less_than(a(q),a(j)),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
less_than(a(q),a(j)),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p38,plain,
( ~ less_than(a(j),X0)
| less_than(a(q),X0) ),
inference(resolution,[status(thm)],[c6,c22]) ).
cnf(f16,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f16_nnf,plain,
less_than(a(j),a(k)),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
less_than(a(j),a(k)),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(p104,plain,
less_than(a(q),a(k)),
inference(resolution,[status(thm)],[p38,c16]) ).
cnf(p646,plain,
( less_than(q,i)
| j = q ),
inference(resolution,[status(thm)],[p79,p104]) ).
cnf(f20,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f20_nnf,plain,
~ less_than(q,i),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
~ less_than(q,i),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
~ less_than(q,i),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p647,plain,
j = q,
inference(resolution,[status(thm)],[p646,c20]) ).
cnf(p649,plain,
less_than(a(j),a(j)),
inference(superposition,[status(thm)],[p647,c22]) ).
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(p663,plain,
$false,
inference(resolution,[status(thm)],[p649,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.58 % Computer : n001.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Thu Sep 24 18:21:54 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 73.95/9.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.95/9.99 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------