%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HEN001-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 01:36:56 PM UTC 2026
% Result : Unsatisfiable 6.03s 11.18s
% Output : Proof 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,axiom,
divide(X,identity) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f4_nnf,plain,
! [X] : divide(X,identity) = zero,
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : divide(X,identity) = zero,
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
divide(X0,identity) = zero,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t0,plain,
divide(X1,identity) = zero,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t8,plain,
divide(X1,identity) = zero,
inference(orient,[status(thm)],[t0]) ).
cnf(f5,negated_conjecture,
divide(a,identity) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_everything_divide_id_is_zero) ).
fof(f5_nnf,plain,
divide(a,identity) != zero,
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
divide(a,identity) != zero,
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
divide(a,identity) != zero,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(goal_0,negated_conjecture,
divide(a,identity) != zero,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(g0_0,plain,
zero != zero,
inference(rw,[status(thm)],[goal_0,t8]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN001-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/10.38 % Computer : n009.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Wed Sep 23 16:08:38 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.03/11.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.03/11.18 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------