%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN057-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 03:15:03 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 12 unt; 4 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 39 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_f(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
~ big_g(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( big_h(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( big_f(X)
| ~ big_i(X)
| ~ big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( ~ big_h(Y)
| ~ big_i(Y)
| big_g(X)
| ~ big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
big_j(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
big_i(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
big_f(a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
~ big_g(a),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0] :
( big_f(X0)
| ~ big_i(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [Y] :
( ~ big_h(Y)
| ~ big_i(Y)
| ! [X] :
( big_g(X)
| ~ big_h(X) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_h(X1)
| ~ big_i(X1)
| big_g(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
big_j(b),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
big_i(b),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,definition,
! [X0] :
( sQ0_spl
<=> ( big_g(X0)
| ~ big_h(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
! [X0] :
( ~ sQ0_spl
| big_g(X0)
| ~ big_h(X0) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,definition,
! [X1] :
( sQ1_spl
<=> ( ~ big_h(X1)
| ~ big_i(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20,plain,
! [X0] :
( ~ sQ1_spl
| ~ big_h(X0)
| ~ big_i(X0) ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f16,f19]) ).
fof(f23,plain,
big_h(a),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f24,plain,
( ~ sQ0_spl
| big_g(a) ),
inference(resolution,[status(thm)],[f17,f23]) ).
fof(f25,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f9]) ).
fof(f26,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f25]) ).
fof(f27,plain,
( big_f(b)
| ~ big_j(b) ),
inference(resolution,[status(thm)],[f11,f15]) ).
fof(f28,definition,
( sQ2_spl
<=> big_j(b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( sQ2_spl
| ~ big_j(b) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,definition,
( sQ3_spl
<=> big_f(b) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( ~ sQ3_spl
| big_f(b) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f27,f28,f31]) ).
fof(f35,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f14]) ).
fof(f36,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f35]) ).
fof(f37,plain,
( ~ sQ3_spl
| big_h(b) ),
inference(resolution,[status(thm)],[f32,f10]) ).
fof(f38,plain,
( ~ sQ1_spl
| ~ big_h(b) ),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f39,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f37]) ).
fof(f40,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f39]) ).
fof(f41,plain,
$false,
inference(sat_refutation,[status(thm)],[f22,f26,f34,f36,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:41:07 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.038956 seconds
% 0.12/0.40 % CPU time: 0.112364 seconds
% 0.12/0.40 % Total memory used: 39.745 MB
% 0.12/0.40 % Net memory used: 39.374 MB
%------------------------------------------------------------------------------