%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:25:28 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 1 unt; 5 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 184 ( 74 ~; 86 |; 12 &)
% ( 10 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f30,plain,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ( is_aligned(X,T0)
<~> is_aligned(X,T) )
& organization(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
! [X,T0,T] :
( ( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ( ( ( ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( is_aligned(X,T)
| is_aligned(X,T0) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
( ! [X,T0,T] :
( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ! [X,T0,T] :
( ( ( ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( is_aligned(X,T)
| is_aligned(X,T0) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f38,plain,
? [X,T1,T2] :
( dissimilar(X,T1,T2)
<~> dissimilar(X,T2,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
? [X,T1,T2] :
( ( ~ dissimilar(X,T2,T1)
| ~ dissimilar(X,T1,T2) )
& ( dissimilar(X,T2,T1)
| dissimilar(X,T1,T2) ) ),
inference(NNF_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
( ( ~ dissimilar(sK0_skl,sK2_skl,sK1_skl)
| ~ dissimilar(sK0_skl,sK1_skl,sK2_skl) )
& ( dissimilar(sK0_skl,sK2_skl,sK1_skl)
| dissimilar(sK0_skl,sK1_skl,sK2_skl) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(T1,sK1_skl),skolemize(T2,sK2_skl)],[f39]) ).
fof(f41,plain,
( dissimilar(sK0_skl,sK2_skl,sK1_skl)
| dissimilar(sK0_skl,sK1_skl,sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
( ~ dissimilar(sK0_skl,sK2_skl,sK1_skl)
| ~ dissimilar(sK0_skl,sK1_skl,sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f43,definition,
( sQ0_spl
<=> dissimilar(sK0_skl,sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( ~ sQ0_spl
| dissimilar(sK0_skl,sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f45,plain,
( sQ0_spl
| ~ dissimilar(sK0_skl,sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ1_spl
<=> dissimilar(sK0_skl,sK2_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( ~ sQ1_spl
| dissimilar(sK0_skl,sK2_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f48,plain,
( sQ1_spl
| ~ dissimilar(sK0_skl,sK2_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f41,f43,f46]) ).
fof(f50,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f42,f43,f46]) ).
fof(f54,plain,
( ~ sQ1_spl
| organization(sK0_skl) ),
inference(resolution,[status(thm)],[f33,f47]) ).
fof(f66,plain,
( ~ sQ1_spl
| is_aligned(sK0_skl,sK1_skl)
| is_aligned(sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f34,f47]) ).
fof(f67,definition,
( sQ2_spl
<=> is_aligned(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f70,definition,
( sQ3_spl
<=> is_aligned(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ1_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f66,f67,f70,f46]) ).
fof(f74,plain,
( ~ sQ1_spl
| ~ is_aligned(sK0_skl,sK1_skl)
| ~ is_aligned(sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f35,f47]) ).
fof(f75,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f74,f67,f70,f46]) ).
fof(f77,plain,
( sQ0_spl
| is_aligned(sK0_skl,sK2_skl)
| ~ is_aligned(sK0_skl,sK1_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f36,f45]) ).
fof(f81,definition,
( sQ4_spl
<=> organization(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( sQ4_spl
| ~ organization(sK0_skl) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ0_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f77,f81,f70,f67,f43]) ).
fof(f85,plain,
( sQ0_spl
| ~ is_aligned(sK0_skl,sK2_skl)
| is_aligned(sK0_skl,sK1_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f37,f45]) ).
fof(f89,plain,
( sQ0_spl
| ~ sQ2_spl
| sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f85,f81,f70,f67,f43]) ).
fof(f90,plain,
( ~ sQ0_spl
| ~ is_aligned(sK0_skl,sK2_skl)
| ~ is_aligned(sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f44,f35]) ).
fof(f91,plain,
( ~ sQ0_spl
| is_aligned(sK0_skl,sK2_skl)
| is_aligned(sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f44,f34]) ).
fof(f92,plain,
( ~ sQ0_spl
| organization(sK0_skl) ),
inference(resolution,[status(thm)],[f44,f33]) ).
fof(f93,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f90,f70,f67,f43]) ).
fof(f94,plain,
( ~ sQ0_spl
| sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f91,f70,f67,f43]) ).
fof(f95,plain,
( ~ sQ1_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f83]) ).
fof(f96,plain,
( ~ sQ1_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( sQ1_spl
| ~ is_aligned(sK0_skl,sK1_skl)
| is_aligned(sK0_skl,sK2_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f48,f37]) ).
fof(f98,plain,
( sQ1_spl
| is_aligned(sK0_skl,sK1_skl)
| ~ is_aligned(sK0_skl,sK2_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f48,f36]) ).
fof(f99,plain,
( sQ1_spl
| ~ sQ3_spl
| sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f97,f81,f67,f70,f46]) ).
fof(f100,plain,
( sQ1_spl
| sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f98,f81,f67,f70,f46]) ).
fof(f101,plain,
( sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f92]) ).
fof(f102,plain,
( sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f101]) ).
fof(f103,plain,
$false,
inference(sat_refutation,[status(thm)],[f49,f50,f73,f75,f84,f89,f93,f94,f96,f99,f100,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:24:06 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.056146 seconds
% 0.11/0.42 % CPU time: 0.157608 seconds
% 0.11/0.42 % Total memory used: 80.350 MB
% 0.11/0.42 % Net memory used: 79.943 MB
%------------------------------------------------------------------------------