%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:14:56 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 2 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 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] :
( g(f(A),A)
| g(A,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] :
( g(A,f(A))
| g(A,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [A,B] :
( ~ g(B,a)
| ~ g(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] :
( g(f(X0),X0)
| g(X0,a) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0] :
( g(X0,f(X0))
| g(X0,a) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [B] :
( ~ g(B,a)
| ! [A] : ~ g(A,B) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( ~ g(X1,a)
| ~ g(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ g(X0,f(a))
| g(a,a) ),
inference(resolution,[status(thm)],[f6,f13]) ).
fof(f15,definition,
( sQ0_spl
<=> g(a,a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f16,plain,
( ~ sQ0_spl
| g(a,a) ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,definition,
! [X0] :
( sQ1_spl
<=> ~ g(X0,f(a)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f19,plain,
! [X0] :
( ~ sQ1_spl
| ~ g(X0,f(a)) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f15,f18]) ).
fof(f22,plain,
! [X0] :
( ~ sQ0_spl
| ~ g(X0,a) ),
inference(resolution,[status(thm)],[f16,f13]) ).
fof(f24,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f16,f22]) ).
fof(f25,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f24]) ).
fof(f26,plain,
( ~ sQ1_spl
| g(a,a) ),
inference(resolution,[status(thm)],[f7,f19]) ).
fof(f27,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f15,f18]) ).
fof(f28,plain,
$false,
inference(sat_refutation,[status(thm)],[f21,f25,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:39:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39 % Elapsed time: 0.029475 seconds
% 0.14/0.39 % CPU time: 0.048201 seconds
% 0.14/0.39 % Total memory used: 2.575 MB
% 0.14/0.39 % Net memory used: 2.503 MB
%------------------------------------------------------------------------------