%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 : Fri Sep 25 02:11:51 PM UTC 2026
% Result : Theorem 21.20s 3.74s
% Output : Proof 21.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 41 ( 6 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 115 ( 39 ~; 57 |; 15 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 2 sgn 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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',definition_2) ).
fof(f6_nnf,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)],[f6]) ).
fof(f6_sk,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(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c13,plain,
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f7,conjecture,
! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
fof(f7_neg,negated_conjecture,
~ ! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f7_nnf,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)],[f7_neg]) ).
fof(f7_sk,plain,
( ( dissimilar(sk0,sk2,sk1)
& ~ dissimilar(sk0,sk1,sk2) )
| ( ~ dissimilar(sk0,sk2,sk1)
& dissimilar(sk0,sk1,sk2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f7_nnf]) ).
cnf(c19,plain,
( dissimilar(sk0,sk2,sk1)
| dissimilar(sk0,sk1,sk2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p40,plain,
( dissimilar(sk0,sk1,sk2)
| is_aligned(sk0,sk1)
| is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[c13,c19]) ).
cnf(p49,plain,
( is_aligned(sk0,sk2)
| is_aligned(sk0,sk1)
| is_aligned(sk0,sk1)
| is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[p40,c13]) ).
cnf(p68,plain,
( is_aligned(sk0,sk1)
| is_aligned(sk0,sk1)
| is_aligned(sk0,sk2) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p70,plain,
( is_aligned(sk0,sk1)
| is_aligned(sk0,sk2) ),
inference(factoring,[status(thm)],[p68]) ).
cnf(c17,plain,
( ~ is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(c11,plain,
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p25,plain,
( organization(sk0)
| dissimilar(sk0,sk1,sk2) ),
inference(resolution,[status(thm)],[c19,c11]) ).
cnf(p26,plain,
( organization(sk0)
| organization(sk0) ),
inference(resolution,[status(thm)],[p25,c11]) ).
cnf(p27,plain,
organization(sk0),
inference(factoring,[status(thm)],[p26]) ).
cnf(p51,plain,
( ~ is_aligned(sk0,X1)
| is_aligned(sk0,X0)
| dissimilar(sk0,X0,X1) ),
inference(resolution,[status(thm)],[c17,p27]) ).
cnf(p72,plain,
( is_aligned(sk0,X0)
| dissimilar(sk0,X0,sk2)
| is_aligned(sk0,sk1) ),
inference(resolution,[status(thm)],[p70,p51]) ).
cnf(p88,plain,
( dissimilar(sk0,sk1,sk2)
| is_aligned(sk0,sk1) ),
inference(factoring,[status(thm)],[p72]) ).
cnf(c16,plain,
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p50,plain,
( is_aligned(sk0,X1)
| ~ is_aligned(sk0,X0)
| dissimilar(sk0,X0,X1) ),
inference(resolution,[status(thm)],[c16,p27]) ).
cnf(p71,plain,
( is_aligned(sk0,X0)
| dissimilar(sk0,sk2,X0)
| is_aligned(sk0,sk1) ),
inference(resolution,[status(thm)],[p70,p50]) ).
cnf(p85,plain,
( dissimilar(sk0,sk2,sk1)
| is_aligned(sk0,sk1) ),
inference(factoring,[status(thm)],[p71]) ).
cnf(c20,plain,
( ~ dissimilar(sk0,sk1,sk2)
| ~ dissimilar(sk0,sk2,sk1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p87,plain,
( ~ dissimilar(sk0,sk1,sk2)
| is_aligned(sk0,sk1) ),
inference(resolution,[status(thm)],[p85,c20]) ).
cnf(p102,plain,
( is_aligned(sk0,sk1)
| is_aligned(sk0,sk1) ),
inference(resolution,[status(thm)],[p88,p87]) ).
cnf(p103,plain,
is_aligned(sk0,sk1),
inference(factoring,[status(thm)],[p102]) ).
cnf(p106,plain,
( is_aligned(sk0,X0)
| dissimilar(sk0,X0,sk1) ),
inference(resolution,[status(thm)],[p103,p51]) ).
cnf(p118,plain,
( ~ dissimilar(sk0,sk1,sk2)
| is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[p106,c20]) ).
cnf(p105,plain,
( is_aligned(sk0,X0)
| dissimilar(sk0,sk1,X0) ),
inference(resolution,[status(thm)],[p103,p50]) ).
cnf(p119,plain,
( is_aligned(sk0,sk2)
| is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[p118,p105]) ).
cnf(p120,plain,
is_aligned(sk0,sk2),
inference(factoring,[status(thm)],[p119]) ).
cnf(c14,plain,
( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p48,plain,
( dissimilar(sk0,sk1,sk2)
| ~ is_aligned(sk0,sk2)
| ~ is_aligned(sk0,sk1) ),
inference(resolution,[status(thm)],[c14,c19]) ).
cnf(p104,plain,
( dissimilar(sk0,sk1,sk2)
| ~ is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[p103,p48]) ).
cnf(p134,plain,
dissimilar(sk0,sk1,sk2),
inference(resolution,[status(thm)],[p120,p104]) ).
cnf(p135,plain,
( ~ is_aligned(sk0,sk1)
| ~ is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[p134,c14]) ).
cnf(p136,plain,
~ is_aligned(sk0,sk1),
inference(resolution,[status(thm)],[p135,p120]) ).
cnf(p137,plain,
$false,
inference(resolution,[status(thm)],[p136,p103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/0.35 % Computer : n020.cluster.edu
% 0.06/0.35 % Model : x86_64 x86_64
% 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.35 % Memory : 8046.5625MB
% 0.06/0.35 % OS : Linux 6.8.0-71-generic
% 0.06/0.35 % CPULimit : 300
% 0.06/0.35 % WCLimit : 300
% 0.06/0.35 % DateTime : Thu Sep 24 01:15:18 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.06/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.20/3.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.20/3.74 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------