%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:15:11 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 1 unt; 5 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 54 ~; 53 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y] :
( big_f(Y,f(a))
| ~ big_f(Y,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( big_f(a,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X] :
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| big_f(g(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X] :
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] :
( big_f(X0,f(a))
| ~ big_f(X0,b)
| big_f(a,f(a)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
( big_f(a,b)
| big_f(a,f(a)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
( ~ big_f(a,f(a))
| ! [X] :
( ~ big_f(a,X)
| big_f(g(X),X) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0] :
( ~ big_f(a,f(a))
| ~ big_f(a,X0)
| big_f(g(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f21,plain,
( ~ big_f(a,f(a))
| ! [X] :
( ~ big_f(a,X)
| ~ big_f(g(X),X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f22,plain,
! [X0] :
( ~ big_f(a,f(a))
| ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,definition,
( sQ0_spl
<=> big_f(a,f(a)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f24,plain,
( ~ sQ0_spl
| big_f(a,f(a)) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f25,plain,
( sQ0_spl
| ~ big_f(a,f(a)) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,definition,
! [X0] :
( sQ1_spl
<=> ( big_f(X0,f(a))
| ~ big_f(X0,b) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f27,plain,
! [X0] :
( ~ sQ1_spl
| big_f(X0,f(a))
| ~ big_f(X0,b) ),
inference(component_clause,[status(thm)],[f26]) ).
fof(f29,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9,f23,f26]) ).
fof(f30,definition,
( sQ2_spl
<=> big_f(a,b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( ~ sQ2_spl
| big_f(a,b) ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f23,f30]) ).
fof(f34,definition,
! [X0] :
( sQ3_spl
<=> ( ~ big_f(a,X0)
| big_f(g(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f35,plain,
! [X0] :
( ~ sQ3_spl
| ~ big_f(a,X0)
| big_f(g(X0),X0) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f39,plain,
( ~ sQ0_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f16,f34,f23]) ).
fof(f40,definition,
! [X0] :
( sQ4_spl
<=> ( ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f41,plain,
! [X0] :
( ~ sQ4_spl
| ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f45,plain,
( ~ sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f22,f40,f23]) ).
fof(f46,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f31,f47]) ).
fof(f47,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| ~ big_f(a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f41]) ).
fof(f48,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| big_f(a,f(a)) ),
inference(resolution,[status(thm)],[f31,f27]) ).
fof(f50,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f25]) ).
fof(f51,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f50]) ).
fof(f52,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f47]) ).
fof(f53,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f52]) ).
fof(f54,plain,
$false,
inference(sat_refutation,[status(thm)],[f29,f33,f39,f45,f48,f51,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 10:42:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.048387 seconds
% 0.09/0.42 % CPU time: 0.117018 seconds
% 0.09/0.42 % Total memory used: 16.614 MB
% 0.09/0.42 % Net memory used: 16.098 MB
%------------------------------------------------------------------------------