%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% 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 01:37:42 PM UTC 2026
% Result : Unsatisfiable 24.15s 4.23s
% Output : Proof 24.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 49 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f24,axiom,
( ~ p_Empty(X_t_36)
| int_level(X_t_36) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f24_nnf,plain,
! [X_t_36] :
( ~ p_Empty(X_t_36)
| int_level(X_t_36) = n0 ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X_t_36] :
( ~ p_Empty(X_t_36)
| int_level(X_t_36) = n0 ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ p_Empty(X0)
| int_level(X0) = n0 ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(f91,negated_conjecture,
( level(t_139) = n0
| p_Empty(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
( level(t_139) = n0
| p_Empty(t_139) ),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
( level(t_139) = n0
| p_Empty(t_139) ),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
( level(t_139) = n0
| p_Empty(t_139) ),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(f20,axiom,
level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f20_nnf,plain,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
level(X0) = int_level(X0),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p96,plain,
( n0 = int_level(t_139)
| p_Empty(t_139) ),
inference(superposition,[status(thm)],[c91,c20]) ).
cnf(f23,axiom,
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f23_nnf,plain,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( p_Empty(X0)
| int_level(X0) != n0 ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p107,plain,
( p_Empty(t_139)
| n0 != n0
| p_Empty(t_139) ),
inference(superposition,[status(thm)],[p96,c23]) ).
cnf(p112,plain,
( n0 != n0
| p_Empty(t_139) ),
inference(factoring,[status(thm)],[p107]) ).
cnf(p113,plain,
p_Empty(t_139),
inference(equality_resolution,[status(thm)],[p112]) ).
cnf(p118,plain,
int_level(t_139) = n0,
inference(resolution,[status(thm)],[c24,p113]) ).
cnf(p119,plain,
level(t_139) = n0,
inference(superposition,[status(thm)],[p118,c20]) ).
cnf(f90,negated_conjecture,
( level(t_139) != n0
| ~ p_Empty(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
( level(t_139) != n0
| ~ p_Empty(t_139) ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
( level(t_139) != n0
| ~ p_Empty(t_139) ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c90,plain,
( level(t_139) != n0
| ~ p_Empty(t_139) ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(p114,plain,
level(t_139) != n0,
inference(resolution,[status(thm)],[p113,c90]) ).
cnf(p120,plain,
n0 != n0,
inference(demodulation,[status(thm)],[p119,p114]) ).
cnf(p122,plain,
$false,
inference(equality_resolution,[status(thm)],[p120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 16:22:05 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.15/4.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.15/4.23 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------