%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN034-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:14:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 2 unt; 3 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 29 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( p(A,f(A))
| p(A,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] :
( p(f(A),A)
| p(A,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [A,B] :
( ~ p(B,a)
| ~ p(B,A)
| ~ p(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0] :
( p(X0,f(X0))
| p(X0,a) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0] :
( p(f(X0),X0)
| p(X0,a) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [B] :
( ~ p(B,a)
| ! [A] :
( ~ p(B,A)
| ~ p(A,B) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f7,plain,
! [X0,X1] :
( ~ p(X1,a)
| ~ p(X1,X0)
| ~ p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ p(f(a),X0)
| ~ p(X0,f(a))
| p(a,a) ),
inference(resolution,[status(thm)],[f5,f7]) ).
fof(f9,definition,
( sQ0_spl
<=> p(a,a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f10,plain,
( ~ sQ0_spl
| p(a,a) ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
! [X0] :
( sQ1_spl
<=> ( ~ p(f(a),X0)
| ~ p(X0,f(a)) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
! [X0] :
( ~ sQ1_spl
| ~ p(f(a),X0)
| ~ p(X0,f(a)) ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f9,f12]) ).
fof(f16,plain,
! [X0] :
( ~ sQ0_spl
| ~ p(a,X0)
| ~ p(X0,a) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f17,plain,
( ~ sQ0_spl
| ~ p(a,a) ),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f19,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f10]) ).
fof(f20,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f19]) ).
fof(f21,plain,
( ~ sQ1_spl
| p(a,a)
| ~ p(a,f(a)) ),
inference(resolution,[status(thm)],[f13,f5]) ).
fof(f23,definition,
( sQ2_spl
<=> p(a,f(a)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
( sQ2_spl
| ~ p(a,f(a)) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,plain,
( ~ sQ1_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f21,f23,f9,f12]) ).
fof(f34,plain,
( sQ2_spl
| p(a,a) ),
inference(resolution,[status(thm)],[f25,f4]) ).
fof(f35,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f9,f23]) ).
fof(f36,plain,
$false,
inference(sat_refutation,[status(thm)],[f15,f20,f26,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:34:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.039721 seconds
% 0.13/0.41 % CPU time: 0.109313 seconds
% 0.13/0.41 % Total memory used: 16.430 MB
% 0.13/0.41 % Net memory used: 15.828 MB
%------------------------------------------------------------------------------