%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 03:15:11 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 55 ( 4 unt; 9 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 153 ( 64 ~; 80 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 10 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [A] :
( ~ big_p(a)
| big_p(A)
| big_p(f(f(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [A] :
( ~ big_p(a)
| ~ big_p(f(A))
| big_p(f(f(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
big_p(a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
( ~ big_p(a)
| ! [A] :
( big_p(A)
| big_p(f(f(A))) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( ~ big_p(a)
| big_p(X0)
| big_p(f(f(X0))) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
( ~ big_p(a)
| ! [A] :
( ~ big_p(f(A))
| big_p(f(f(A))) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0] :
( ~ big_p(a)
| ~ big_p(f(X0))
| big_p(f(f(X0))) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,definition,
! [X0] :
( sQ0_spl
<=> ( big_p(X0)
| big_p(f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f18,plain,
! [X0] :
( ~ sQ0_spl
| big_p(X0)
| big_p(f(f(X0))) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,definition,
( sQ1_spl
<=> big_p(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f22,plain,
( sQ1_spl
| ~ big_p(a) ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f17,f20]) ).
fof(f24,definition,
! [X0] :
( sQ2_spl
<=> ( ~ big_p(f(X0))
| big_p(f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
! [X0] :
( ~ sQ2_spl
| ~ big_p(f(X0))
| big_p(f(f(X0))) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f12,f24,f20]) ).
fof(f28,definition,
( sQ3_spl
<=> big_p(f(f(sk1))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( sQ3_spl
| ~ big_p(f(f(sk1))) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,definition,
( sQ4_spl
<=> big_p(f(f(sk2))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ4_spl
| ~ big_p(f(f(sk2))) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f13,f28,f31]) ).
fof(f35,definition,
( sQ5_spl
<=> big_p(f(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f36,plain,
( ~ sQ5_spl
| big_p(f(sk1)) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,definition,
( sQ6_spl
<=> big_p(f(sk2)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( ~ sQ6_spl
| big_p(f(sk2)) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,definition,
( sQ7_spl
<=> big_p(sk1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( sQ7_spl
| ~ big_p(sk1) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,definition,
( sQ8_spl
<=> big_p(sk2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( sQ8_spl
| ~ big_p(sk2) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f14,f35,f38,f41,f44]) ).
fof(f48,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f15,f35,f41,f31]) ).
fof(f49,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f16,f38,f44,f28]) ).
fof(f50,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22,f8]) ).
fof(f51,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f50]) ).
fof(f52,plain,
( sQ4_spl
| ~ sQ0_spl
| big_p(sk2) ),
inference(resolution,[status(thm)],[f18,f33]) ).
fof(f53,plain,
( sQ3_spl
| ~ sQ0_spl
| big_p(sk1) ),
inference(resolution,[status(thm)],[f18,f30]) ).
fof(f54,plain,
( sQ4_spl
| ~ sQ0_spl
| sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f46]) ).
fof(f55,plain,
( sQ4_spl
| ~ sQ0_spl
| sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( sQ7_spl
| sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f53]) ).
fof(f57,plain,
( sQ7_spl
| sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f56]) ).
fof(f58,plain,
( ~ sQ2_spl
| sQ4_spl
| ~ big_p(f(sk2)) ),
inference(resolution,[status(thm)],[f33,f25]) ).
fof(f60,plain,
( ~ sQ2_spl
| sQ4_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f39]) ).
fof(f61,plain,
( ~ sQ2_spl
| sQ4_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f60]) ).
fof(f62,plain,
( ~ sQ2_spl
| sQ3_spl
| ~ big_p(f(sk1)) ),
inference(resolution,[status(thm)],[f30,f25]) ).
fof(f64,plain,
( ~ sQ2_spl
| sQ3_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f36]) ).
fof(f65,plain,
( ~ sQ2_spl
| sQ3_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f64]) ).
fof(f66,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f27,f34,f47,f48,f49,f51,f55,f57,f61,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:41:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.40 % Elapsed time: 0.028425 seconds
% 0.09/0.40 % CPU time: 0.043498 seconds
% 0.09/0.40 % Total memory used: 2.589 MB
% 0.09/0.40 % Net memory used: 2.542 MB
%------------------------------------------------------------------------------