%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:28:15 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 22 unt; 2 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 64 ( 32 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1,X2] :
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] :
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0] :
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
p(s0,s0,s0,s0,s0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0] :
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
~ p(s1,s1,s1,s1,s1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,definition,
( sQ0_spl
<=> p(s0,s1,s1,s1,s1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
( sQ0_spl
| ~ p(s0,s1,s1,s1,s1) ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,definition,
( sQ1_spl
<=> p(s1,s0,s0,s0,s0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f19,plain,
( ~ sQ1_spl
| p(s1,s0,s0,s0,s0) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f15,f18]) ).
fof(f22,plain,
p(s0,s0,s0,s0,s1),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f23,plain,
p(s0,s0,s0,s1,s0),
inference(resolution,[status(thm)],[f10,f22]) ).
fof(f24,plain,
p(s0,s0,s0,s1,s1),
inference(resolution,[status(thm)],[f23,f9]) ).
fof(f25,plain,
p(s0,s0,s1,s0,s0),
inference(resolution,[status(thm)],[f24,f11]) ).
fof(f26,plain,
p(s0,s0,s1,s0,s1),
inference(resolution,[status(thm)],[f25,f9]) ).
fof(f27,plain,
p(s0,s0,s1,s1,s0),
inference(resolution,[status(thm)],[f26,f10]) ).
fof(f28,plain,
p(s0,s0,s1,s1,s1),
inference(resolution,[status(thm)],[f27,f9]) ).
fof(f29,plain,
p(s0,s1,s0,s0,s0),
inference(resolution,[status(thm)],[f28,f12]) ).
fof(f30,plain,
p(s0,s1,s0,s0,s1),
inference(resolution,[status(thm)],[f29,f9]) ).
fof(f31,plain,
p(s0,s1,s0,s1,s0),
inference(resolution,[status(thm)],[f30,f10]) ).
fof(f32,plain,
p(s0,s1,s0,s1,s1),
inference(resolution,[status(thm)],[f31,f9]) ).
fof(f33,plain,
p(s0,s1,s1,s0,s0),
inference(resolution,[status(thm)],[f32,f11]) ).
fof(f34,plain,
p(s0,s1,s1,s0,s1),
inference(resolution,[status(thm)],[f33,f9]) ).
fof(f35,plain,
p(s0,s1,s1,s1,s0),
inference(resolution,[status(thm)],[f34,f10]) ).
fof(f36,plain,
p(s0,s1,s1,s1,s1),
inference(resolution,[status(thm)],[f35,f9]) ).
fof(f37,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f17]) ).
fof(f38,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f37]) ).
fof(f39,plain,
( ~ sQ1_spl
| p(s1,s0,s0,s0,s1) ),
inference(resolution,[status(thm)],[f19,f9]) ).
fof(f40,plain,
( ~ sQ1_spl
| p(s1,s0,s0,s1,s0) ),
inference(resolution,[status(thm)],[f39,f10]) ).
fof(f41,plain,
( ~ sQ1_spl
| p(s1,s0,s0,s1,s1) ),
inference(resolution,[status(thm)],[f40,f9]) ).
fof(f42,plain,
( ~ sQ1_spl
| p(s1,s0,s1,s0,s0) ),
inference(resolution,[status(thm)],[f41,f11]) ).
fof(f43,plain,
( ~ sQ1_spl
| p(s1,s0,s1,s0,s1) ),
inference(resolution,[status(thm)],[f42,f9]) ).
fof(f44,plain,
( ~ sQ1_spl
| p(s1,s0,s1,s1,s0) ),
inference(resolution,[status(thm)],[f43,f10]) ).
fof(f45,plain,
( ~ sQ1_spl
| p(s1,s0,s1,s1,s1) ),
inference(resolution,[status(thm)],[f44,f9]) ).
fof(f46,plain,
( ~ sQ1_spl
| p(s1,s1,s0,s0,s0) ),
inference(resolution,[status(thm)],[f45,f12]) ).
fof(f47,plain,
( ~ sQ1_spl
| p(s1,s1,s0,s0,s1) ),
inference(resolution,[status(thm)],[f46,f9]) ).
fof(f48,plain,
( ~ sQ1_spl
| p(s1,s1,s0,s1,s0) ),
inference(resolution,[status(thm)],[f47,f10]) ).
fof(f49,plain,
( ~ sQ1_spl
| p(s1,s1,s0,s1,s1) ),
inference(resolution,[status(thm)],[f48,f9]) ).
fof(f50,plain,
( ~ sQ1_spl
| p(s1,s1,s1,s0,s0) ),
inference(resolution,[status(thm)],[f49,f11]) ).
fof(f51,plain,
( ~ sQ1_spl
| p(s1,s1,s1,s0,s1) ),
inference(resolution,[status(thm)],[f50,f9]) ).
fof(f52,plain,
( ~ sQ1_spl
| p(s1,s1,s1,s1,s0) ),
inference(resolution,[status(thm)],[f51,f10]) ).
fof(f53,plain,
( ~ sQ1_spl
| p(s1,s1,s1,s1,s1) ),
inference(resolution,[status(thm)],[f52,f9]) ).
fof(f54,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f14]) ).
fof(f55,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
$false,
inference(sat_refutation,[status(thm)],[f21,f38,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 01:27:23 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.34 % Elapsed time: 0.037672 seconds
% 0.07/0.34 % CPU time: 0.082793 seconds
% 0.07/0.34 % Total memory used: 55.460 MB
% 0.07/0.34 % Net memory used: 54.951 MB
%------------------------------------------------------------------------------