%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN062+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 03:15:05 PM UTC 2026
% Result : Theorem 0.08s 0.58s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 19 |; 9 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ( ( big_h(X)
| big_g(X) )
& big_f(X) )
=> big_i(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ( big_h(X)
& big_i(X) )
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( big_k(X)
=> big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
! [X] :
( ( big_k(X)
& big_f(X) )
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ! [X] :
( ( big_k(X)
& big_f(X) )
=> big_j(X) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X] :
( big_i(X)
| ( ~ big_h(X)
& ~ big_g(X) )
| ~ big_f(X) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] :
( big_i(X0)
| ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X] :
( big_j(X)
| ~ big_h(X)
| ~ big_i(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( big_j(X0)
| ~ big_h(X0)
| ~ big_i(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X] :
( big_h(X)
| ~ big_k(X) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0] :
( big_h(X0)
| ~ big_k(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
? [X] :
( ~ big_j(X)
& big_k(X)
& big_f(X) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
( ~ big_j(sK0_skl)
& big_k(sK0_skl)
& big_f(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f13]) ).
fof(f15,plain,
big_f(sK0_skl),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
big_k(sK0_skl),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,plain,
~ big_j(sK0_skl),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f18,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_f(X0)
| big_j(X0)
| ~ big_h(X0) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f19,plain,
! [X0] :
( ~ big_f(X0)
| big_j(X0)
| ~ big_h(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0] :
( ~ big_k(X0)
| ~ big_f(X0)
| big_j(X0) ),
inference(resolution,[status(thm)],[f19,f12]) ).
fof(f21,plain,
( ~ big_k(sK0_skl)
| big_j(sK0_skl) ),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f23,plain,
~ big_k(sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f21,f17]) ).
fof(f25,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f23,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN062+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.56 % Computer : n015.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Mon Sep 21 10:44:07 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.57 % Drodi V4.1.1
% 0.08/0.58 % Refutation found
% 0.08/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.61 % Elapsed time: 0.036441 seconds
% 0.08/0.61 % CPU time: 0.103979 seconds
% 0.08/0.61 % Total memory used: 32.839 MB
% 0.08/0.61 % Net memory used: 32.489 MB
%------------------------------------------------------------------------------