%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 4 unt; 5 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 93 ( 43 ~; 45 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ~ big_r(X)
| ~ big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( big_f(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( big_g(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( big_p(b)
| big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] :
( big_r(b)
| big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X] :
( ~ big_p(X)
| ~ big_q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
big_p(a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0] :
( ~ big_r(X0)
| ~ big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( big_f(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0] :
( big_g(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( big_p(b)
| ! [X] :
( big_q(X)
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0] :
( big_p(b)
| big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
( big_r(b)
| ! [X] :
( big_q(X)
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0] :
( big_r(b)
| big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ big_p(X0)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,definition,
! [X0] :
( sQ0_spl
<=> ( big_q(X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f18,plain,
! [X0] :
( ~ sQ0_spl
| big_q(X0)
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,definition,
( sQ1_spl
<=> big_p(b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21,plain,
( ~ sQ1_spl
| big_p(b) ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f17,f20]) ).
fof(f24,definition,
( sQ2_spl
<=> big_r(b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
( ~ sQ2_spl
| big_r(b) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f17,f24]) ).
fof(f28,plain,
! [X0] :
( ~ sQ0_spl
| ~ big_p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f18,f16]) ).
fof(f29,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8,f28]) ).
fof(f30,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f29]) ).
fof(f31,plain,
( ~ sQ2_spl
| ~ big_g(b)
| ~ big_f(b) ),
inference(resolution,[status(thm)],[f25,f9]) ).
fof(f32,definition,
( sQ3_spl
<=> big_f(b) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f34,plain,
( sQ3_spl
| ~ big_f(b) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,definition,
( sQ4_spl
<=> big_g(b) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( sQ4_spl
| ~ big_g(b) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f31,f32,f35,f24]) ).
fof(f39,plain,
( sQ3_spl
| ~ big_p(b) ),
inference(resolution,[status(thm)],[f10,f34]) ).
fof(f40,plain,
( sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f21]) ).
fof(f41,plain,
( sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(f42,plain,
( sQ4_spl
| ~ big_p(b) ),
inference(resolution,[status(thm)],[f11,f37]) ).
fof(f44,plain,
( sQ4_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f21]) ).
fof(f45,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f44]) ).
fof(f46,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f27,f30,f38,f41,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n006.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 10:40:42 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.50 % Elapsed time: 0.049282 seconds
% 0.18/0.50 % CPU time: 0.126671 seconds
% 0.18/0.50 % Total memory used: 12.905 MB
% 0.18/0.50 % Net memory used: 12.480 MB
%------------------------------------------------------------------------------