%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 03:15:52 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 4 unt; 4 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 38 ~; 41 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
f(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y1,Y2] :
( f(b,Y2)
| ~ f(Y1,Y2)
| g(Y2,z(Y1,Y2))
| g(b,z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y1,Y2] :
( f(b,Y2)
| ~ f(Y1,Y2)
| ~ g(Y2,z(Y1,Y2))
| ~ g(b,z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [Y1,Y2] :
( ~ f(Y1,Y2)
| ~ f(b,Y1)
| ~ f(a,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
f(a,b),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [Y2] :
( f(b,Y2)
| ! [Y1] :
( ~ f(Y1,Y2)
| g(Y2,z(Y1,Y2))
| g(b,z(Y1,Y2)) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( f(b,X1)
| ~ f(X0,X1)
| g(X1,z(X0,X1))
| g(b,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [Y2] :
( f(b,Y2)
| ! [Y1] :
( ~ f(Y1,Y2)
| ~ g(Y2,z(Y1,Y2))
| ~ g(b,z(Y1,Y2)) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( f(b,X1)
| ~ f(X0,X1)
| ~ g(X1,z(X0,X1))
| ~ g(b,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f16,plain,
! [Y1] :
( ! [Y2] : ~ f(Y1,Y2)
| ~ f(b,Y1)
| ~ f(a,Y1) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0,X1] :
( ~ f(X0,X1)
| ~ f(b,X0)
| ~ f(a,X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
( f(b,b)
| g(b,z(a,b))
| g(b,z(a,b)) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f19,definition,
( sQ0_spl
<=> g(b,z(a,b)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f22,definition,
( sQ1_spl
<=> f(b,b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( ~ sQ1_spl
| f(b,b) ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f25,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f19,f22]) ).
fof(f26,plain,
( f(b,b)
| ~ g(b,z(a,b))
| ~ g(b,z(a,b)) ),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f27,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f19,f22]) ).
fof(f28,plain,
! [X0] :
( ~ sQ1_spl
| ~ f(b,X0)
| ~ f(a,b) ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f31,definition,
( sQ2_spl
<=> f(a,b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ2_spl
| ~ f(a,b) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
! [X0] :
( sQ3_spl
<=> ~ f(b,X0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f35,plain,
! [X0] :
( ~ sQ3_spl
| ~ f(b,X0) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( ~ sQ1_spl
| sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f28,f31,f34,f22]) ).
fof(f43,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f8]) ).
fof(f44,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f47,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f23,f35]) ).
fof(f48,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f47]) ).
fof(f49,plain,
$false,
inference(sat_refutation,[status(thm)],[f25,f27,f37,f44,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:51:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.042188 seconds
% 0.10/0.42 % CPU time: 0.114996 seconds
% 0.10/0.42 % Total memory used: 16.566 MB
% 0.10/0.42 % Net memory used: 16.001 MB
%------------------------------------------------------------------------------