%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 : Unsatisfiable 14.37s 2.37s
% Output : Proof 14.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 6 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 136 ( 54 ~; 82 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 68 ( 4 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f16,axiom,
( dissimilar(A,C,B)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_34) ).
fof(f16_nnf,plain,
! [A,B,C] :
( dissimilar(A,C,B)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [A,B,C] :
( dissimilar(A,C,B)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( dissimilar(X0,X2,X1)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(f11,axiom,
( organization(A)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_29) ).
fof(f11_nnf,plain,
! [A,B,C] :
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B,C] :
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f18,negated_conjecture,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7_36) ).
fof(f18_nnf,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p25,plain,
( dissimilar(sk1,sk2,sk3)
| organization(sk1) ),
inference(resolution,[status(thm)],[c11,c18]) ).
cnf(p26,plain,
( organization(sk1)
| organization(sk1) ),
inference(resolution,[status(thm)],[p25,c11]) ).
cnf(p27,plain,
organization(sk1),
inference(factoring,[status(thm)],[p26]) ).
cnf(p55,plain,
( dissimilar(sk1,X1,X0)
| is_aligned(sk1,X1)
| ~ is_aligned(sk1,X0) ),
inference(resolution,[status(thm)],[c16,p27]) ).
cnf(f12,axiom,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_30) ).
fof(f12_nnf,plain,
! [A,B,C] :
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B,C] :
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p35,plain,
( dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[c12,c18]) ).
cnf(p36,plain,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[p35,c12]) ).
cnf(p37,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(factoring,[status(thm)],[p36]) ).
cnf(p39,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(factoring,[status(thm)],[p37]) ).
cnf(p56,plain,
( is_aligned(sk1,sk2)
| dissimilar(sk1,X0,sk3)
| is_aligned(sk1,X0) ),
inference(resolution,[status(thm)],[p55,p39]) ).
cnf(p57,plain,
( dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2) ),
inference(factoring,[status(thm)],[p56]) ).
cnf(f15,axiom,
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_33) ).
fof(f15_nnf,plain,
! [A,B,C] :
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,B,C] :
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p50,plain,
( dissimilar(sk1,X0,X1)
| is_aligned(sk1,X1)
| ~ is_aligned(sk1,X0) ),
inference(resolution,[status(thm)],[c15,p27]) ).
cnf(p51,plain,
( is_aligned(sk1,sk2)
| dissimilar(sk1,sk3,X0)
| is_aligned(sk1,X0) ),
inference(resolution,[status(thm)],[p50,p39]) ).
cnf(p52,plain,
( dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk2) ),
inference(factoring,[status(thm)],[p51]) ).
cnf(f21,negated_conjecture,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7_39) ).
fof(f21_nnf,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p54,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[p52,c21]) ).
cnf(p59,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[p57,p54]) ).
cnf(p60,plain,
is_aligned(sk1,sk2),
inference(factoring,[status(thm)],[p59]) ).
cnf(p62,plain,
( dissimilar(sk1,X0,sk2)
| is_aligned(sk1,X0) ),
inference(resolution,[status(thm)],[p60,p55]) ).
cnf(p63,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[p62,c21]) ).
cnf(p61,plain,
( dissimilar(sk1,sk2,X0)
| is_aligned(sk1,X0) ),
inference(resolution,[status(thm)],[p60,p50]) ).
cnf(p64,plain,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[p63,p61]) ).
cnf(p68,plain,
is_aligned(sk1,sk3),
inference(factoring,[status(thm)],[p64]) ).
cnf(f13,axiom,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_31) ).
fof(f13_nnf,plain,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p41,plain,
( dissimilar(sk1,sk2,sk3)
| ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[c13,c18]) ).
cnf(p69,plain,
( dissimilar(sk1,sk2,sk3)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[p68,p41]) ).
cnf(p72,plain,
dissimilar(sk1,sk2,sk3),
inference(resolution,[status(thm)],[p69,p60]) ).
cnf(p73,plain,
( ~ is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[p72,c13]) ).
cnf(p78,plain,
~ is_aligned(sk1,sk3),
inference(resolution,[status(thm)],[p73,p60]) ).
cnf(p79,plain,
$false,
inference(resolution,[status(thm)],[p78,p68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 01:16:05 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.37/2.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.37/2.37 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------