%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT052-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:50:45 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.57s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_2_30,axiom,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('theBenchmark.p',definition_2_30) ).
cnf(definition_2_31,axiom,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('theBenchmark.p',definition_2_31) ).
cnf(background_assumption_1_36,negated_conjecture,
dissimilar(sk1,sk2,sk2),
file('theBenchmark.p',background_assumption_1_36) ).
cnf(t1,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk2)
| ~ dissimilar(sk1,sk2,sk2) ),
inference(start,[status(thm),parent(0:0)],[definition_2_31]) ).
cnf(t2,plain,
dissimilar(sk1,sk2,sk2),
inference(extension,[status(thm),parent(t1:1)],[background_assumption_1_36]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( is_aligned(sk1,sk2)
| ~ dissimilar(sk1,sk2,sk2)
| is_aligned(sk1,sk2) ),
inference(extension,[status(thm),parent(t1:2)],[definition_2_30]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
dissimilar(sk1,sk2,sk2),
inference(extension,[status(thm),parent(t4:2)],[background_assumption_1_36]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
$false,
inference(reduction,[status(thm),parent(t4:3)],[t4:3,t1:2]) ).
cnf(l2,lemma,
is_aligned(sk1,sk2),
inference(lemma,[status(cth),parent(t1:2),below(0:0)],[t1:2]) ).
cnf(t9,plain,
is_aligned(sk1,sk2),
inference(lemma_extension,[status(thm),parent(t1:3)],[l2:1]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_EPR_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n026.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Sat Sep 19 16:19:53 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.57 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------