%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 03:15:08 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 6 unt; 7 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 172 ( 75 ~; 90 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( big_g(X)
| big_f(f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( big_g(X)
| big_h(f(X),X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( big_g(X)
| ~ big_g(f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( big_f(a)
| big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( ~ big_g(a)
| big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( big_j(a,Y)
| big_g(Y)
| ~ big_f(Y)
| big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ big_j(Y,X)
| ~ big_h(X,Y)
| ~ big_f(Y)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
big_f(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ big_g(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] :
( big_g(X0)
| big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0] :
( big_g(X0)
| big_h(f(X0),X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0] :
( big_g(X0)
| ~ big_g(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
( big_f(a)
| ! [X] :
( big_g(X)
| ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0] :
( big_f(a)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( ~ big_g(a)
| ! [X] :
( big_g(X)
| ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0] :
( ~ big_g(a)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [Y] :
( big_j(a,Y)
| big_g(Y)
| ~ big_f(Y)
| ! [X] :
( big_g(X)
| ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( big_j(a,X1)
| big_g(X1)
| ~ big_f(X1)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
big_f(b),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
~ big_g(b),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,definition,
! [X0] :
( sQ0_spl
<=> ( big_g(X0)
| ~ big_f(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f23,plain,
! [X0] :
( ~ sQ0_spl
| big_g(X0)
| ~ big_f(X0) ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f25,definition,
( sQ1_spl
<=> big_f(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f22,f25]) ).
fof(f29,definition,
( sQ2_spl
<=> big_g(a) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( ~ sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f22,f29]) ).
fof(f33,definition,
! [X1] :
( sQ3_spl
<=> ( big_j(a,X1)
| big_g(X1)
| ~ big_f(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f34,plain,
! [X0] :
( ~ sQ3_spl
| big_j(a,X0)
| big_g(X0)
| ~ big_f(X0) ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f22,f33]) ).
fof(f37,plain,
( ~ sQ0_spl
| ~ big_f(b) ),
inference(resolution,[status(thm)],[f23,f21]) ).
fof(f38,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f20]) ).
fof(f39,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ sQ3_spl
| big_g(X0)
| ~ big_f(X0)
| ~ big_h(X0,a)
| ~ big_f(a)
| ~ big_f(X0) ),
inference(resolution,[status(thm)],[f19,f34]) ).
fof(f41,definition,
! [X0] :
( sQ4_spl
<=> ( big_g(X0)
| ~ big_f(X0)
| ~ big_h(X0,a)
| ~ big_f(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f42,plain,
! [X0] :
( ~ sQ4_spl
| big_g(X0)
| ~ big_f(X0)
| ~ big_h(X0,a)
| ~ big_f(X0) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f40,f41,f25,f33]) ).
fof(f45,plain,
! [X0] :
( ~ sQ4_spl
| big_g(X0)
| ~ big_h(X0,a)
| ~ big_f(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f42]) ).
fof(f46,plain,
( ~ sQ4_spl
| big_g(a)
| ~ big_f(a)
| big_g(f(a))
| ~ big_f(f(a)) ),
inference(resolution,[status(thm)],[f45,f11]) ).
fof(f47,definition,
( sQ5_spl
<=> big_f(f(a)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f49,plain,
( sQ5_spl
| ~ big_f(f(a)) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,definition,
( sQ6_spl
<=> big_g(f(a)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( ~ sQ6_spl
| big_g(f(a)) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( ~ sQ4_spl
| sQ2_spl
| ~ sQ1_spl
| sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f46,f47,f50,f25,f29,f41]) ).
fof(f54,plain,
( sQ5_spl
| big_g(a)
| ~ big_f(a) ),
inference(resolution,[status(thm)],[f49,f10]) ).
fof(f55,plain,
( sQ5_spl
| sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f54,f25,f29,f47]) ).
fof(f56,plain,
( ~ sQ6_spl
| big_g(a)
| ~ big_f(a) ),
inference(resolution,[status(thm)],[f51,f12]) ).
fof(f57,plain,
( ~ sQ6_spl
| sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f56,f25,f29,f50]) ).
fof(f58,plain,
$false,
inference(sat_refutation,[status(thm)],[f28,f32,f36,f39,f44,f53,f55,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:45:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.041635 seconds
% 0.12/0.40 % CPU time: 0.111056 seconds
% 0.12/0.40 % Total memory used: 16.608 MB
% 0.12/0.40 % Net memory used: 16.098 MB
%------------------------------------------------------------------------------