%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN057+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 : n010.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 03:15:03 PM UTC 2026
% Result : Theorem 0.14s 15.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 24 ~; 16 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X] :
( ~ big_g(X)
& big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( big_f(X)
=> big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( ( big_i(X)
& big_j(X) )
=> big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ? [X] :
( ~ big_g(X)
& big_h(X) )
=> ! [X1] :
( big_i(X1)
=> ~ big_h(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
! [X] :
( big_j(X)
=> ~ big_i(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [X] :
( big_j(X)
=> ~ big_i(X) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
( ~ big_g(sK0_skl)
& big_f(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f1]) ).
fof(f8,plain,
big_f(sK0_skl),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
~ big_g(sK0_skl),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,plain,
! [X] :
( big_h(X)
| ~ big_f(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X] :
( big_f(X)
| ~ big_i(X)
| ~ big_j(X) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0] :
( big_f(X0)
| ~ big_i(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
( ! [X1] :
( ~ big_h(X1)
| ~ big_i(X1) )
| ! [X] :
( big_g(X)
| ~ big_h(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_h(X1)
| ~ big_i(X1)
| big_g(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
? [X] :
( big_i(X)
& big_j(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
( big_i(sK1_skl)
& big_j(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl)],[f16]) ).
fof(f18,plain,
big_j(sK1_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
big_i(sK1_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
( big_f(sK1_skl)
| ~ big_i(sK1_skl) ),
inference(resolution,[status(thm)],[f13,f18]) ).
fof(f21,plain,
big_f(sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f20,f19]) ).
fof(f22,plain,
big_h(sK0_skl),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f23,plain,
big_h(sK1_skl),
inference(resolution,[status(thm)],[f11,f21]) ).
fof(f24,plain,
! [X0] :
( ~ big_h(sK1_skl)
| big_g(X0)
| ~ big_h(X0) ),
inference(resolution,[status(thm)],[f15,f19]) ).
fof(f27,plain,
! [X0] :
( big_g(X0)
| ~ big_h(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f23]) ).
fof(f29,plain,
big_g(sK0_skl),
inference(resolution,[status(thm)],[f27,f22]) ).
fof(f31,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f29,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN057+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.59 % Computer : n010.cluster.edu
% 0.10/15.59 % Model : x86_64 x86_64
% 0.10/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.59 % Memory : 8046.5625MB
% 0.10/15.59 % OS : Linux 6.8.0-71-generic
% 0.10/15.59 % CPULimit : 300
% 0.10/15.59 % WCLimit : 300
% 0.10/15.59 % DateTime : Mon Sep 21 10:41:57 UTC 2026
% 0.10/15.59 % CPUTime :
% 0.14/15.60 % Drodi V4.1.1
% 0.14/15.62 % Refutation found
% 0.14/15.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/15.64 % Elapsed time: 0.041847 seconds
% 0.14/15.64 % CPU time: 0.126571 seconds
% 0.14/15.64 % Total memory used: 44.923 MB
% 0.14/15.64 % Net memory used: 44.480 MB
%------------------------------------------------------------------------------