%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT011-1 : 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 : n001.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 08:02:05 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 25 unt; 0 def)
% Number of atoms : 161 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 217 ( 110 ~; 107 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_FOL_29,axiom,
reorganization_free(sk3,sk6,sk7),
file('theBenchmark.p',t11_FOL_29) ).
cnf(c_1,plain,
reorganization_free(sk3,sk6,sk7),
inference(clausify,[status(thm)],[t11_FOL_29]) ).
fof(t2_FOL_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( greater(VAR_4,VAR_3)
| ~ greater(VAR_2,VAR_1)
| ~ inertia(VAR_0,VAR_4,VAR_2)
| ~ inertia(VAR_0,VAR_3,VAR_1)
| ~ reorganization_free(VAR_0,VAR_1,VAR_2)
| ~ organization(VAR_0,VAR_2)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',t2_FOL_26) ).
cnf(c_2,plain,
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(A,E,C)
| ~ inertia(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[t2_FOL_26]) ).
fof(mp10_24,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( VAR_3 = VAR_4
| ~ class(VAR_0,VAR_4,VAR_2)
| ~ class(VAR_0,VAR_3,VAR_1)
| ~ reorganization_free(VAR_0,VAR_1,VAR_2)
| ~ organization(VAR_0,VAR_2)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp10_24) ).
cnf(c_3,plain,
( D = E
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp10_24]) ).
cnf(c_4,plain,
( A = B
| ~ class(sk3,B,sk7)
| ~ class(sk3,A,sk6)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_5,plain,
( greater(B,A)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,B,sk7)
| ~ inertia(sk3,A,sk6)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(t11_FOL_33,axiom,
greater(sk4,sk5),
file('theBenchmark.p',t11_FOL_33) ).
cnf(c_6,plain,
greater(sk4,sk5),
inference(clausify,[status(thm)],[t11_FOL_33]) ).
fof(t11_FOL_32,axiom,
greater(sk7,sk6),
file('theBenchmark.p',t11_FOL_32) ).
cnf(c_7,plain,
greater(sk7,sk6),
inference(clausify,[status(thm)],[t11_FOL_32]) ).
fof(t11_FOL_31,axiom,
size(sk3,sk5,sk7),
file('theBenchmark.p',t11_FOL_31) ).
cnf(c_8,plain,
size(sk3,sk5,sk7),
inference(clausify,[status(thm)],[t11_FOL_31]) ).
fof(t11_FOL_30,axiom,
size(sk3,sk4,sk6),
file('theBenchmark.p',t11_FOL_30) ).
cnf(c_9,plain,
size(sk3,sk4,sk6),
inference(clausify,[status(thm)],[t11_FOL_30]) ).
fof(t11_FOL_28,axiom,
organization(sk3,sk7),
file('theBenchmark.p',t11_FOL_28) ).
cnf(c_10,plain,
organization(sk3,sk7),
inference(clausify,[status(thm)],[t11_FOL_28]) ).
fof(t11_FOL_27,axiom,
organization(sk3,sk6),
file('theBenchmark.p',t11_FOL_27) ).
cnf(c_11,plain,
organization(sk3,sk6),
inference(clausify,[status(thm)],[t11_FOL_27]) ).
fof(a5_FOL_25,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8] :
( greater(VAR_8,VAR_7)
| ~ greater(VAR_6,VAR_5)
| ~ inertia(VAR_2,VAR_8,VAR_3)
| ~ inertia(VAR_0,VAR_7,VAR_1)
| ~ size(VAR_2,VAR_6,VAR_3)
| ~ size(VAR_0,VAR_5,VAR_1)
| ~ class(VAR_2,VAR_4,VAR_3)
| ~ class(VAR_0,VAR_4,VAR_1)
| ~ organization(VAR_2,VAR_3)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a5_FOL_25) ).
cnf(c_12,plain,
( greater(V8,V7)
| ~ greater(V6,F)
| ~ inertia(C,V8,D)
| ~ inertia(A,V7,B)
| ~ size(C,V6,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a5_FOL_25]) ).
fof(mp9_23,axiom,
! [VAR_0,VAR_1] :
( class(VAR_0,sk2(VAR_1,VAR_0),VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp9_23) ).
cnf(c_13,plain,
( class(A,sk2(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp9_23]) ).
fof(mp6_2_22,axiom,
! [VAR_0,VAR_1] :
( ~ greater(VAR_1,VAR_0)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',mp6_2_22) ).
cnf(c_14,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[mp6_2_22]) ).
fof(mp5_20,axiom,
! [VAR_0,VAR_1] :
( inertia(VAR_0,sk1(VAR_1,VAR_0),VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp5_20) ).
cnf(c_16,plain,
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp5_20]) ).
cnf(c_38,plain,
( greater(B,A)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,B,sk7)
| ~ inertia(sk3,A,sk6)
| ~ organization(sk3,sk7) ),
inference(resolve,[status(thm)],[c_11,c_5]) ).
cnf(c_39,plain,
( greater(B,A)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,B,sk7)
| ~ inertia(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_10,c_38]) ).
cnf(c_17,plain,
( greater(B,A)
| ~ inertia(sk3,B,sk7)
| ~ inertia(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_7,c_39]) ).
cnf(c_40,plain,
( A = B
| ~ class(sk3,B,sk7)
| ~ class(sk3,A,sk6)
| ~ organization(sk3,sk7) ),
inference(resolve,[status(thm)],[c_11,c_4]) ).
cnf(c_18,plain,
( A = B
| ~ class(sk3,B,sk7)
| ~ class(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_10,c_40]) ).
cnf(c_19,plain,
class(sk3,sk2(sk6,sk3),sk6),
inference(resolve,[status(thm)],[c_13,c_11]) ).
cnf(c_20,plain,
class(sk3,sk2(sk7,sk3),sk7),
inference(resolve,[status(thm)],[c_13,c_10]) ).
cnf(c_26,plain,
inertia(sk3,sk1(sk6,sk3),sk6),
inference(resolve,[status(thm)],[c_16,c_11]) ).
cnf(c_27,plain,
inertia(sk3,sk1(sk7,sk3),sk7),
inference(resolve,[status(thm)],[c_16,c_10]) ).
cnf(c_41,plain,
( sk2(sk6,sk3) = A
| ~ class(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_18,c_19]) ).
cnf(c_42,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(resolve,[status(thm)],[c_41,c_20]) ).
cnf(c_28,plain,
sk2(sk7,sk3) = sk2(sk6,sk3),
inference(copy,[status(thm)],[c_42]) ).
cnf(c_29,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(paramod,[status(thm)],[c_28,c_20]) ).
cnf(c_43,plain,
( greater(A,sk1(sk6,sk3))
| ~ inertia(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_17,c_26]) ).
cnf(c_32,plain,
greater(sk1(sk7,sk3),sk1(sk6,sk3)),
inference(resolve,[status(thm)],[c_43,c_27]) ).
cnf(c_44,plain,
( greater(V6,F)
| ~ greater(E,D)
| ~ inertia(A,V6,B)
| ~ inertia(sk3,F,sk7)
| ~ size(A,E,B)
| ~ size(sk3,D,sk7)
| ~ class(A,C,B)
| ~ class(sk3,C,sk7)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_12,c_10]) ).
cnf(c_45,plain,
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(sk3,E,sk6)
| ~ inertia(sk3,D,sk7)
| ~ size(sk3,C,sk6)
| ~ size(sk3,B,sk7)
| ~ class(sk3,A,sk6)
| ~ class(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_44,c_11]) ).
cnf(c_46,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ inertia(sk3,D,sk6)
| ~ inertia(sk3,C,sk7)
| ~ size(sk3,B,sk6)
| ~ size(sk3,A,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6) ),
inference(resolve,[status(thm)],[c_45,c_29]) ).
cnf(c_47,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ inertia(sk3,D,sk6)
| ~ inertia(sk3,C,sk7)
| ~ size(sk3,B,sk6)
| ~ size(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_46,c_19]) ).
cnf(c_48,plain,
( greater(C,B)
| ~ greater(A,sk5)
| ~ inertia(sk3,C,sk6)
| ~ inertia(sk3,B,sk7)
| ~ size(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_47,c_8]) ).
cnf(c_49,plain,
( greater(B,A)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,B,sk6)
| ~ inertia(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_48,c_9]) ).
cnf(c_50,plain,
( greater(A,sk1(sk7,sk3))
| ~ greater(sk4,sk5)
| ~ inertia(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_49,c_27]) ).
cnf(c_51,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk4,sk5) ),
inference(resolve,[status(thm)],[c_50,c_26]) ).
cnf(c_34,plain,
greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolve,[status(thm)],[c_51,c_6]) ).
cnf(c_52,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolve,[status(thm)],[c_14,c_32]) ).
cnf(c_37,plain,
$false,
inference(resolve,[status(thm)],[c_34,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.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 : Sat Sep 26 00:08:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 387965 was started by sandbox on n001,
% 0.09/0.35 % Sat Sep 26 00:08:56 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.36
% 0.13/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.37
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.37 % Length of proof is 26.
% 0.13/0.37 % Level of proof is 6.
% 0.13/0.37 % Maximum clause weight is 36.000.
% 0.13/0.37 % Given clauses 29.
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------