%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT044-1 : 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 : n006.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 08:02:57 AM UTC 2026
% Result : Unsatisfiable 0.09s 10.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 43 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 7 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_3_37,axiom,
organization(sk1),
file('theBenchmark.p',lemma_3_37) ).
cnf(c_10,plain,
organization(sk1),
inference(clausify,[status(thm)],[lemma_3_37]) ).
fof(assumption_9_36,axiom,
! [VAR_0,VAR_1,VAR_2] :
( internal_friction(VAR_0,VAR_1) = internal_friction(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_9_36) ).
cnf(c_11,plain,
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_9_36]) ).
fof(assumption_7_35,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ greater(age(VAR_0,VAR_1),age(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_7_35) ).
cnf(c_12,plain,
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_7_35]) ).
fof(assumption_5_32,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(capability(VAR_0,VAR_1),capability(VAR_0,VAR_2))
| ~ smaller_or_equal(internal_friction(VAR_0,VAR_1),internal_friction(VAR_0,VAR_2))
| ~ greater(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_5_32) ).
cnf(c_14,plain,
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_5_32]) ).
cnf(c_19,plain,
( greater(capability(sk1,A),capability(sk1,B))
| ~ smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B))
| ~ greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(resolve,[status(thm)],[c_10,c_14]) ).
cnf(c_21,plain,
( greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B))
| ~ greater(age(sk1,A),age(sk1,B)) ),
inference(resolve,[status(thm)],[c_10,c_12]) ).
cnf(c_22,plain,
internal_friction(sk1,A) = internal_friction(sk1,B),
inference(resolve,[status(thm)],[c_10,c_11]) ).
fof(lemma_3_39,axiom,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
file('theBenchmark.p',lemma_3_39) ).
cnf(c_27,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(clausify,[status(thm)],[lemma_3_39]) ).
fof(lemma_3_38,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file('theBenchmark.p',lemma_3_38) ).
cnf(c_28,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(clausify,[status(thm)],[lemma_3_38]) ).
fof(definition_smaller_or_equal_3,axiom,
! [VAR_0,VAR_1] :
( smaller_or_equal(VAR_0,VAR_1)
| VAR_0 != VAR_1 ),
file('theBenchmark.p',definition_smaller_or_equal_3) ).
cnf(c_31,plain,
( smaller_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_3]) ).
cnf(c_39,plain,
( greater(capability(sk1,A),capability(sk1,B))
| ~ smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,C))
| ~ greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(paramod,[status(thm)],[c_22,c_19]) ).
cnf(c_45,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(resolve,[status(thm)],[c_28,c_21]) ).
cnf(c_53,plain,
smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B)),
inference(resolve,[status(thm)],[c_31,c_22]) ).
cnf(c_55,plain,
( greater(capability(sk1,A),capability(sk1,B))
| ~ greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(resolve,[status(thm)],[c_53,c_39]) ).
cnf(c_104,plain,
greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[status(thm)],[c_55,c_45]) ).
cnf(c_103,plain,
$false,
inference(resolve,[status(thm)],[c_27,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT044-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.56 % Computer : n006.cluster.edu
% 0.09/10.56 % Model : x86_64 x86_64
% 0.09/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.56 % Memory : 8046.5625MB
% 0.09/10.56 % OS : Linux 6.8.0-71-generic
% 0.09/10.56 % CPULimit : 300
% 0.09/10.56 % WCLimit : 300
% 0.09/10.56 % DateTime : Sat Sep 26 00:09:21 UTC 2026
% 0.09/10.57 % CPUTime :
% 0.09/10.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/10.57 % Process 4093936 was started by sandbox on n006,
% 0.09/10.57 % Sat Sep 26 00:09:21 2026
% 0.09/10.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/10.57
% 0.09/10.57 % From the command line: assign(max_seconds, 300).
% 0.09/10.59
% 0.09/10.59 % SZS status Unsatisfiable for theBenchmark
% 0.09/10.59
% 0.09/10.59 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/10.59 % Length of proof is 15.
% 0.09/10.59 % Level of proof is 4.
% 0.09/10.59 % Maximum clause weight is 31.000.
% 0.09/10.59 % Given clauses 37.
% 0.09/10.59
% 0.09/10.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------