%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN054-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 5 unt; 2 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ big_q(X)
| ~ big_s(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( big_r(X)
| big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( big_q(b)
| big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( big_s(X)
| ~ big_q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] :
( ~ big_r(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] :
( ~ big_q(X0)
| ~ big_s(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] :
( big_r(X0)
| big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
( big_q(b)
| big_p(a) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0] :
( big_s(X0)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0] :
( ~ big_r(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,definition,
( sQ0_spl
<=> big_p(a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f14,plain,
( ~ sQ0_spl
| big_p(a) ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,definition,
( sQ1_spl
<=> big_q(b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f17,plain,
( ~ sQ1_spl
| big_q(b) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9,f13,f16]) ).
fof(f20,plain,
! [X0] :
( big_q(X0)
| ~ big_p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8,f12]) ).
fof(f21,plain,
! [X0] : ~ big_p(X0),
inference(backward_subsumption_resolution,[status(thm)],[f20,f22]) ).
fof(f22,plain,
! [X0] : ~ big_q(X0),
inference(forward_subsumption_resolution,[status(thm)],[f10,f7]) ).
fof(f23,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14,f21]) ).
fof(f24,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f23]) ).
fof(f25,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f22]) ).
fof(f26,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f25]) ).
fof(f27,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f24,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:38:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.041871 seconds
% 0.09/0.42 % CPU time: 0.111547 seconds
% 0.09/0.42 % Total memory used: 16.464 MB
% 0.09/0.42 % Net memory used: 15.890 MB
%------------------------------------------------------------------------------