%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% 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 03:15:44 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.54s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 1 unt; 4 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 25 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Z,U] :
( g(a,U)
| ~ f(a,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U] :
( f(U,b)
| ~ g(U,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U] :
( g(a,U)
| f(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ~ g(a,d)
| ~ f(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
( ! [U] : g(a,U)
| ! [Z] : ~ f(a,Z) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1] :
( g(a,X1)
| ~ f(a,X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( f(X0,b)
| ~ g(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
( ! [U] : g(a,U)
| f(a,b) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] :
( g(a,X0)
| f(a,b) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
( ~ g(a,d)
| ~ f(a,b) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,definition,
! [X0] :
( sQ0_spl
<=> ~ f(a,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f12,plain,
! [X0] :
( ~ sQ0_spl
| ~ f(a,X0) ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,definition,
! [X1] :
( sQ1_spl
<=> g(a,X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f15,plain,
! [X0] :
( ~ sQ1_spl
| g(a,X0) ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f11,f14]) ).
fof(f18,definition,
( sQ2_spl
<=> f(a,b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f19,plain,
( ~ sQ2_spl
| f(a,b) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f9,f18,f14]) ).
fof(f22,definition,
( sQ3_spl
<=> g(a,d) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f24,plain,
( sQ3_spl
| ~ g(a,d) ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f25,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f10,f18,f22]) ).
fof(f26,plain,
( sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f15]) ).
fof(f27,plain,
( sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f26]) ).
fof(f28,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19,f12]) ).
fof(f29,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f28]) ).
fof(f30,plain,
( ~ sQ1_spl
| f(a,b) ),
inference(resolution,[status(thm)],[f15,f7]) ).
fof(f31,plain,
( ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f30,f18,f14]) ).
fof(f32,plain,
$false,
inference(sat_refutation,[status(thm)],[f17,f21,f25,f27,f29,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51 % Computer : n010.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Mon Sep 21 10:49:40 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.52 % Drodi V4.1.1
% 0.08/0.54 % Refutation found
% 0.08/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.56 % Elapsed time: 0.040558 seconds
% 0.08/0.56 % CPU time: 0.103251 seconds
% 0.08/0.56 % Total memory used: 16.435 MB
% 0.08/0.56 % Net memory used: 15.852 MB
%------------------------------------------------------------------------------