%------------------------------------------------------------------------------
% 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 : n015.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 : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 1 unt; 5 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 163 ( 72 ~; 86 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [A,B,C] :
( organization(A)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C] :
( dissimilar(A,C,B)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [A] :
( organization(A)
| ! [B,C] : ~ dissimilar(A,B,C) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f36,plain,
! [X0,X1,X2] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [A,C] :
( is_aligned(A,C)
| ! [B] :
( is_aligned(A,B)
| ~ dissimilar(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f38,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [A,C] :
( ~ is_aligned(A,C)
| ! [B] :
( ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f44,plain,
! [X0,X1,X2] :
( dissimilar(X0,X2,X1)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f50,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f51,definition,
( sQ0_spl
<=> dissimilar(sk1,sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ0_spl
| dissimilar(sk1,sk2,sk3) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f53,plain,
( sQ0_spl
| ~ dissimilar(sk1,sk2,sk3) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,definition,
( sQ1_spl
<=> dissimilar(sk1,sk3,sk2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( ~ sQ1_spl
| dissimilar(sk1,sk3,sk2) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( sQ1_spl
| ~ dissimilar(sk1,sk3,sk2) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f51,f54]) ).
fof(f60,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f50,f54,f51]) ).
fof(f64,plain,
( ~ sQ0_spl
| organization(sk1) ),
inference(resolution,[status(thm)],[f36,f52]) ).
fof(f76,plain,
( ~ sQ0_spl
| is_aligned(sk1,sk3)
| is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[f38,f52]) ).
fof(f77,definition,
( sQ2_spl
<=> is_aligned(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f80,definition,
( sQ3_spl
<=> is_aligned(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f76,f77,f80,f51]) ).
fof(f84,plain,
( ~ sQ0_spl
| ~ is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[f40,f52]) ).
fof(f85,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f84,f77,f80,f51]) ).
fof(f87,plain,
( sQ1_spl
| is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f43,f56]) ).
fof(f91,definition,
( sQ4_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( sQ4_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f87,f91,f80,f77,f54]) ).
fof(f95,plain,
( sQ1_spl
| is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f44,f56]) ).
fof(f99,plain,
( sQ1_spl
| sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f95,f91,f77,f80,f54]) ).
fof(f100,plain,
( sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f64]) ).
fof(f101,plain,
( sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( sQ0_spl
| is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f53,f44]) ).
fof(f103,plain,
( sQ0_spl
| is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f53,f43]) ).
fof(f104,plain,
( sQ0_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f102,f91,f80,f77,f51]) ).
fof(f105,plain,
( sQ0_spl
| sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f103,f91,f77,f80,f51]) ).
fof(f106,plain,
( ~ sQ1_spl
| ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[f55,f40]) ).
fof(f107,plain,
( ~ sQ1_spl
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[f55,f38]) ).
fof(f108,plain,
( ~ sQ1_spl
| organization(sk1) ),
inference(resolution,[status(thm)],[f55,f36]) ).
fof(f109,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f106,f80,f77,f54]) ).
fof(f110,plain,
( ~ sQ1_spl
| sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f107,f80,f77,f54]) ).
fof(f111,plain,
( ~ sQ1_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f93]) ).
fof(f112,plain,
( ~ sQ1_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f111]) ).
fof(f113,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f60,f83,f85,f94,f99,f101,f104,f105,f109,f110,f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:27:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.043578 seconds
% 0.12/0.41 % CPU time: 0.117402 seconds
% 0.12/0.41 % Total memory used: 50.347 MB
% 0.12/0.41 % Net memory used: 50.135 MB
%------------------------------------------------------------------------------