%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN328+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:15:46 PM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 5 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 201 ( 71 ~; 69 |; 38 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-1 aty)
% Number of variables : 44 ( 34 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_h(Z)
& big_g(Z)
& big_f(Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_h(Z)
& big_g(Z)
& big_f(Z) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X] :
? [Y,Z] :
( ( ~ big_h(Z)
| ~ big_g(Z)
| ~ big_f(Z) )
& ( ( big_h(Y)
| ( ~ big_g(Y)
& big_f(Y) ) )
<=> big_h(X) )
& ( ( big_h(Y)
| ~ big_f(Y) )
<=> big_g(X) )
& ( ( big_g(Y)
| ~ big_f(Y) )
<=> big_f(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X] :
? [Y,Z] :
( ( ~ big_h(Z)
| ~ big_g(Z)
| ~ big_f(Z) )
& ( ~ big_h(X)
| big_h(Y)
| ( ~ big_g(Y)
& big_f(Y) ) )
& ( big_h(X)
| ( ~ big_h(Y)
& ( big_g(Y)
| ~ big_f(Y) ) ) )
& ( ~ big_g(X)
| big_h(Y)
| ~ big_f(Y) )
& ( big_g(X)
| ( ~ big_h(Y)
& big_f(Y) ) )
& ( ~ big_f(X)
| big_g(Y)
| ~ big_f(Y) )
& ( big_f(X)
| ( ~ big_g(Y)
& big_f(Y) ) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [X] :
? [Y] :
( ( ? [Z] : ~ big_h(Z)
| ? [Z] : ~ big_g(Z)
| ? [Z] : ~ big_f(Z) )
& ( ~ big_h(X)
| big_h(Y)
| ( ~ big_g(Y)
& big_f(Y) ) )
& ( big_h(X)
| ( ~ big_h(Y)
& ( big_g(Y)
| ~ big_f(Y) ) ) )
& ( ~ big_g(X)
| big_h(Y)
| ~ big_f(Y) )
& ( big_g(X)
| ( ~ big_h(Y)
& big_f(Y) ) )
& ( ~ big_f(X)
| big_g(Y)
| ~ big_f(Y) )
& ( big_f(X)
| ( ~ big_g(Y)
& big_f(Y) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
! [X] :
( ( ~ big_h(sK3_skl(X))
| ~ big_g(sK2_skl(X))
| ~ big_f(sK1_skl(X)) )
& ( ~ big_h(X)
| big_h(sK0_skl(X))
| ( ~ big_g(sK0_skl(X))
& big_f(sK0_skl(X)) ) )
& ( big_h(X)
| ( ~ big_h(sK0_skl(X))
& ( big_g(sK0_skl(X))
| ~ big_f(sK0_skl(X)) ) ) )
& ( ~ big_g(X)
| big_h(sK0_skl(X))
| ~ big_f(sK0_skl(X)) )
& ( big_g(X)
| ( ~ big_h(sK0_skl(X))
& big_f(sK0_skl(X)) ) )
& ( ~ big_f(X)
| big_g(sK0_skl(X))
| ~ big_f(sK0_skl(X)) )
& ( big_f(X)
| ( ~ big_g(sK0_skl(X))
& big_f(sK0_skl(X)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(Z,sK2_skl(X)),skolemize(Z,sK3_skl(X))],[f5]) ).
fof(f7,plain,
! [X0] :
( big_f(X0)
| big_f(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0] :
( big_f(X0)
| ~ big_g(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0] :
( ~ big_f(X0)
| big_g(sK0_skl(X0))
| ~ big_f(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [X0] :
( big_g(X0)
| big_f(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f11,plain,
! [X0] :
( big_g(X0)
| ~ big_h(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [X0] :
( ~ big_g(X0)
| big_h(sK0_skl(X0))
| ~ big_f(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
! [X0] :
( big_h(X0)
| big_g(sK0_skl(X0))
| ~ big_f(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0] :
( big_h(X0)
| ~ big_h(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0] :
( ~ big_h(sK3_skl(X0))
| ~ big_g(sK2_skl(X0))
| ~ big_f(sK1_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0] :
( big_f(X0)
| big_h(X0)
| ~ big_f(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f22,plain,
! [X0] :
( big_f(X0)
| big_h(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f20,f7]) ).
fof(f23,plain,
! [X0] :
( ~ big_g(X0)
| big_h(sK0_skl(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f12,f22]) ).
fof(f24,plain,
! [X0] :
( big_h(X0)
| big_f(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f22,f14]) ).
fof(f26,plain,
! [X0] :
( big_h(X0)
| ~ big_g(X0) ),
inference(resolution,[status(thm)],[f23,f14]) ).
fof(f30,plain,
! [X0] :
( big_h(X0)
| ~ big_g(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f31,plain,
! [X0] :
( big_g(X0)
| ~ big_g(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f26,f11]) ).
fof(f35,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_f(sK0_skl(X0))
| big_g(X0) ),
inference(resolution,[status(thm)],[f31,f9]) ).
fof(f36,plain,
! [X0] :
( ~ big_f(X0)
| big_g(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f10]) ).
fof(f37,plain,
! [X0] :
( big_g(X0)
| ~ big_f(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f36,f31]) ).
fof(f38,plain,
! [X0] :
( big_h(X0)
| ~ big_f(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f36,f30]) ).
fof(f39,plain,
! [X0] :
( big_f(X0)
| ~ big_f(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f36,f8]) ).
fof(f40,plain,
! [X0] : big_g(X0),
inference(forward_subsumption_resolution,[status(thm)],[f37,f10]) ).
fof(f41,plain,
! [X0] : big_h(X0),
inference(forward_subsumption_resolution,[status(thm)],[f38,f24]) ).
fof(f42,plain,
! [X0] : big_f(X0),
inference(forward_subsumption_resolution,[status(thm)],[f39,f7]) ).
fof(f47,plain,
! [X0] :
( ~ big_h(sK3_skl(X0))
| ~ big_g(sK2_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f42]) ).
fof(f48,plain,
! [X0] : ~ big_g(sK2_skl(X0)),
inference(resolution,[status(thm)],[f47,f41]) ).
fof(f49,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f48,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN328+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n014.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 10:49:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.038618 seconds
% 0.13/0.39 % CPU time: 0.105544 seconds
% 0.13/0.39 % Total memory used: 16.820 MB
% 0.13/0.39 % Net memory used: 16.297 MB
%------------------------------------------------------------------------------