%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 08:03:00 AM UTC 2026
% Result : Unsatisfiable 0.27s 15.43s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 5 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 118 ( 42 ~; 76 |; 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 : 51 ( 6 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_2_29,axiom,
! [VAR_0,VAR_1,VAR_2] :
( organization(VAR_0)
| ~ dissimilar(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',definition_2_29) ).
cnf(c_10,plain,
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_29]) ).
fof(definition_2_33,axiom,
! [VAR_0,VAR_1,VAR_2] :
( dissimilar(VAR_0,VAR_1,VAR_2)
| is_aligned(VAR_0,VAR_2)
| ~ is_aligned(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',definition_2_33) ).
cnf(c_12,plain,
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[definition_2_33]) ).
fof(definition_2_34,axiom,
! [VAR_0,VAR_1,VAR_2] :
( dissimilar(VAR_0,VAR_2,VAR_1)
| is_aligned(VAR_0,VAR_2)
| ~ is_aligned(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',definition_2_34) ).
cnf(c_13,plain,
( dissimilar(A,C,B)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[definition_2_34]) ).
cnf(c_15,plain,
( dissimilar(A,E,D)
| is_aligned(A,E)
| ~ is_aligned(A,D)
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_10,c_13]) ).
cnf(c_16,plain,
( dissimilar(A,D,E)
| is_aligned(A,E)
| ~ is_aligned(A,D)
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_10,c_12]) ).
fof(definition_2_30,axiom,
! [VAR_0,VAR_1,VAR_2] :
( is_aligned(VAR_0,VAR_2)
| is_aligned(VAR_0,VAR_1)
| ~ dissimilar(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',definition_2_30) ).
cnf(c_20,plain,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_30]) ).
fof(definition_2_31,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ is_aligned(VAR_0,VAR_2)
| ~ is_aligned(VAR_0,VAR_1)
| ~ dissimilar(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',definition_2_31) ).
cnf(c_21,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_31]) ).
fof(lemma_7_36,axiom,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
file('theBenchmark.p',lemma_7_36) ).
cnf(c_22,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(clausify,[status(thm)],[lemma_7_36]) ).
fof(lemma_7_39,axiom,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
file('theBenchmark.p',lemma_7_39) ).
cnf(c_23,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(clausify,[status(thm)],[lemma_7_39]) ).
cnf(c_31,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_22,c_21]) ).
cnf(c_32,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_22,c_20]) ).
cnf(c_33,plain,
( dissimilar(sk1,A,B)
| is_aligned(sk1,B)
| ~ is_aligned(sk1,A)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_22,c_16]) ).
cnf(c_34,plain,
( dissimilar(sk1,B,A)
| is_aligned(sk1,B)
| ~ is_aligned(sk1,A)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_22,c_15]) ).
cnf(c_35,plain,
( is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(factor,[status(thm)],[c_33]) ).
cnf(c_36,plain,
( is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(factor,[status(thm)],[c_34]) ).
cnf(c_81,plain,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_32,c_20]) ).
cnf(c_82,plain,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(copy,[status(thm)],[c_81]) ).
cnf(c_39,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(copy,[status(thm)],[c_82]) ).
cnf(c_83,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_36,c_39]) ).
cnf(c_42,plain,
( is_aligned(sk1,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(copy,[status(thm)],[c_83]) ).
cnf(c_43,plain,
( dissimilar(sk1,A,B)
| is_aligned(sk1,B)
| ~ is_aligned(sk1,A)
| is_aligned(sk1,sk2) ),
inference(resolve,[status(thm)],[c_42,c_16]) ).
cnf(c_45,plain,
( dissimilar(sk1,A,sk2)
| ~ is_aligned(sk1,A)
| is_aligned(sk1,sk2) ),
inference(factor,[status(thm)],[c_43]) ).
cnf(c_84,plain,
( is_aligned(sk1,sk2)
| dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk2) ),
inference(resolve,[status(thm)],[c_45,c_39]) ).
cnf(c_47,plain,
( dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk2) ),
inference(copy,[status(thm)],[c_84]) ).
cnf(c_48,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2) ),
inference(resolve,[status(thm)],[c_47,c_23]) ).
cnf(c_85,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk2) ),
inference(resolve,[status(thm)],[c_48,c_42]) ).
cnf(c_49,plain,
is_aligned(sk1,sk2),
inference(copy,[status(thm)],[c_85]) ).
cnf(c_50,plain,
( is_aligned(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_49,c_35]) ).
cnf(c_51,plain,
( ~ is_aligned(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[status(thm)],[c_49,c_31]) ).
cnf(c_54,plain,
( dissimilar(sk1,B,A)
| is_aligned(sk1,B)
| ~ is_aligned(sk1,A)
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_50,c_15]) ).
cnf(c_56,plain,
( dissimilar(sk1,sk3,A)
| ~ is_aligned(sk1,A)
| is_aligned(sk1,sk3) ),
inference(factor,[status(thm)],[c_54]) ).
cnf(c_57,plain,
( dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_56,c_49]) ).
cnf(c_58,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_57,c_23]) ).
cnf(c_86,plain,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_58,c_50]) ).
cnf(c_59,plain,
is_aligned(sk1,sk3),
inference(copy,[status(thm)],[c_86]) ).
cnf(c_60,plain,
dissimilar(sk1,sk2,sk3),
inference(resolve,[status(thm)],[c_59,c_51]) ).
cnf(c_87,plain,
( ~ is_aligned(sk1,A)
| ~ dissimilar(sk1,sk2,A) ),
inference(resolve,[status(thm)],[c_21,c_49]) ).
cnf(c_88,plain,
~ dissimilar(sk1,sk2,sk3),
inference(resolve,[status(thm)],[c_87,c_59]) ).
cnf(c_80,plain,
$false,
inference(resolve,[status(thm)],[c_60,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/15.39 % CPULimit : 300
% 0.08/15.39 % WCLimit : 300
% 0.08/15.39 % DateTime : Sat Sep 26 00:10:56 UTC 2026
% 0.27/15.40 % CPUTime :
% 0.27/15.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.27/15.40 % Process 2238608 was started by sandbox on n008,
% 0.27/15.40 % Sat Sep 26 00:10:56 2026
% 0.27/15.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.27/15.40
% 0.27/15.40 % From the command line: assign(max_seconds, 300).
% 0.27/15.43
% 0.27/15.43 % SZS status Unsatisfiable for theBenchmark
% 0.27/15.43
% 0.27/15.43 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.27/15.43 % Length of proof is 31.
% 0.27/15.43 % Level of proof is 17.
% 0.27/15.43 % Maximum clause weight is 14.000.
% 0.27/15.43 % Given clauses 36.
% 0.27/15.43
% 0.27/15.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------