%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT054-1 : 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 : n018.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 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 67 ( 23 unt; 0 def)
% Number of atoms : 152 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 163 ( 78 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 92 ( 7 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal_1,axiom,
! [VAR_0,VAR_1] :
( VAR_0 = VAR_1
| smaller(VAR_0,VAR_1)
| ~ smaller_or_equal(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_or_equal_1) ).
cnf(c_2,plain,
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_1]) ).
fof(theorem_5_55,axiom,
smaller_or_equal(age(sk1,sk3),sigma),
file('theBenchmark.p',theorem_5_55) ).
cnf(c_4,plain,
smaller_or_equal(age(sk1,sk3),sigma),
inference(clausify,[status(thm)],[theorem_5_55]) ).
fof(definition_smaller_7,axiom,
! [VAR_0,VAR_1] :
( greater(VAR_1,VAR_0)
| ~ smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_7) ).
cnf(c_5,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_7]) ).
cnf(c_8,plain,
( age(sk1,sk3) = sigma
| smaller(age(sk1,sk3),sigma) ),
inference(resolve,[status(thm)],[c_4,c_2]) ).
fof(assumption_16_51,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(hazard_of_mortality(VAR_0,VAR_1),hazard_of_mortality(VAR_0,VAR_2))
| ~ greater(capability(VAR_0,VAR_2),capability(VAR_0,VAR_1))
| has_immunity(VAR_0,VAR_2)
| has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_16_51) ).
cnf(c_12,plain,
( greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_16_51]) ).
fof(theorem_5_52,axiom,
organization(sk1),
file('theBenchmark.p',theorem_5_52) ).
cnf(c_13,plain,
organization(sk1),
inference(clausify,[status(thm)],[theorem_5_52]) ).
fof(assumption_15_50,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(age(VAR_0,VAR_2),sigma)
| ~ dissimilar(VAR_0,VAR_1,VAR_2)
| age(VAR_0,VAR_1) != zero
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_15_50) ).
cnf(c_14,plain,
( greater(age(A,C),sigma)
| ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15_50]) ).
fof(assumption_15_49,axiom,
! [VAR_0,VAR_1,VAR_2] :
( dissimilar(VAR_0,VAR_1,VAR_2)
| ~ greater(age(VAR_0,VAR_2),sigma)
| age(VAR_0,VAR_1) != zero
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_15_49) ).
cnf(c_15,plain,
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15_49]) ).
fof(assumption_14_48,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(capability(VAR_0,VAR_1),capability(VAR_0,VAR_2))
| is_aligned(VAR_0,VAR_2)
| ~ is_aligned(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_14_48) ).
cnf(c_16,plain,
( greater(capability(A,B),capability(A,C))
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_14_48]) ).
fof(assumption_13_47,axiom,
! [VAR_0,VAR_1] :
( is_aligned(VAR_0,VAR_1)
| age(VAR_0,VAR_1) != zero
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_13_47) ).
cnf(c_17,plain,
( is_aligned(A,B)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_13_47]) ).
fof(definition_2_44,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_44) ).
cnf(c_20,plain,
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[definition_2_44]) ).
fof(definition_2_40,axiom,
! [VAR_0,VAR_1,VAR_2] :
( organization(VAR_0)
| ~ dissimilar(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',definition_2_40) ).
cnf(c_22,plain,
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_40]) ).
fof(assumption_1_38,axiom,
! [VAR_0,VAR_1] :
( ~ has_immunity(VAR_0,VAR_1)
| has_endowment(VAR_0)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_1_38) ).
cnf(c_24,plain,
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_1_38]) ).
cnf(c_25,plain,
( ~ has_immunity(sk1,A)
| has_endowment(sk1) ),
inference(resolve,[status(thm)],[c_24,c_13]) ).
cnf(c_30,plain,
( greater(age(A,E),sigma)
| ~ dissimilar(A,D,E)
| age(A,D) != zero
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_22,c_14]) ).
cnf(c_36,plain,
( dissimilar(sk1,A,B)
| is_aligned(sk1,B)
| ~ is_aligned(sk1,A) ),
inference(resolve,[status(thm)],[c_20,c_13]) ).
cnf(c_38,plain,
( is_aligned(sk1,A)
| age(sk1,A) != zero ),
inference(resolve,[status(thm)],[c_17,c_13]) ).
cnf(c_39,plain,
( greater(capability(sk1,A),capability(sk1,B))
| is_aligned(sk1,B)
| ~ is_aligned(sk1,A) ),
inference(resolve,[status(thm)],[c_16,c_13]) ).
cnf(c_40,plain,
( dissimilar(sk1,A,B)
| ~ greater(age(sk1,B),sigma)
| age(sk1,A) != zero ),
inference(resolve,[status(thm)],[c_15,c_13]) ).
cnf(c_42,plain,
( greater(hazard_of_mortality(sk1,A),hazard_of_mortality(sk1,B))
| ~ greater(capability(sk1,B),capability(sk1,A))
| has_immunity(sk1,B)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_12,c_13]) ).
cnf(c_43,plain,
( age(sk1,sk3) = sigma
| greater(sigma,age(sk1,sk3)) ),
inference(resolve,[status(thm)],[c_5,c_8]) ).
fof(meaning_postulate_greater_strict_9,axiom,
! [VAR_0,VAR_1] :
( ~ greater(VAR_1,VAR_0)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',meaning_postulate_greater_strict_9) ).
cnf(c_45,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_strict_9]) ).
fof(definition_2_42,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_42) ).
cnf(c_48,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_42]) ).
fof(theorem_5_53,axiom,
~ has_endowment(sk1),
file('theBenchmark.p',theorem_5_53) ).
cnf(c_49,plain,
~ has_endowment(sk1),
inference(clausify,[status(thm)],[theorem_5_53]) ).
fof(theorem_5_54,axiom,
age(sk1,sk2) = zero,
file('theBenchmark.p',theorem_5_54) ).
cnf(c_50,plain,
age(sk1,sk2) = zero,
inference(clausify,[status(thm)],[theorem_5_54]) ).
fof(theorem_5_56,axiom,
greater(age(sk1,sk4),sigma),
file('theBenchmark.p',theorem_5_56) ).
cnf(c_51,plain,
greater(age(sk1,sk4),sigma),
inference(clausify,[status(thm)],[theorem_5_56]) ).
fof(theorem_5_58,axiom,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
file('theBenchmark.p',theorem_5_58) ).
cnf(c_53,plain,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
inference(clausify,[status(thm)],[theorem_5_58]) ).
cnf(c_55,plain,
( greater(age(A,C),sigma)
| age(A,B) != zero
| ~ dissimilar(A,B,C) ),
inference(factor,[status(thm)],[c_30]) ).
cnf(c_57,plain,
~ greater(A,A),
inference(factor,[status(thm)],[c_45]) ).
cnf(c_60,plain,
~ has_immunity(sk1,A),
inference(resolve,[status(thm)],[c_49,c_25]) ).
cnf(c_144,plain,
( greater(hazard_of_mortality(sk1,B),hazard_of_mortality(sk1,A))
| ~ greater(capability(sk1,A),capability(sk1,B))
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_60,c_42]) ).
cnf(c_61,plain,
( greater(hazard_of_mortality(sk1,B),hazard_of_mortality(sk1,A))
| ~ greater(capability(sk1,A),capability(sk1,B)) ),
inference(resolve,[status(thm)],[c_60,c_144]) ).
cnf(c_63,plain,
( age(sk1,sk3) = sigma
| ~ greater(age(sk1,sk3),sigma) ),
inference(resolve,[status(thm)],[c_45,c_43]) ).
cnf(c_70,plain,
is_aligned(sk1,sk2),
inference(resolve,[status(thm)],[c_50,c_38]) ).
cnf(c_75,plain,
( dissimilar(sk1,A,sk4)
| age(sk1,A) != zero ),
inference(resolve,[status(thm)],[c_51,c_40]) ).
cnf(c_82,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk4)),
inference(resolve,[status(thm)],[c_61,c_53]) ).
cnf(c_89,plain,
( dissimilar(sk1,sk2,A)
| is_aligned(sk1,A) ),
inference(resolve,[status(thm)],[c_70,c_36]) ).
cnf(c_145,plain,
( greater(age(sk1,A),sigma)
| age(sk1,sk2) != zero
| is_aligned(sk1,A) ),
inference(resolve,[status(thm)],[c_89,c_55]) ).
cnf(c_146,plain,
( greater(age(sk1,A),sigma)
| zero != zero
| is_aligned(sk1,A) ),
inference(paramod,[status(thm)],[c_50,c_145]) ).
cnf(c_96,plain,
( greater(age(sk1,A),sigma)
| is_aligned(sk1,A) ),
inference(copy,[status(thm)],[c_146]) ).
cnf(c_108,plain,
dissimilar(sk1,sk2,sk4),
inference(resolve,[status(thm)],[c_75,c_50]) ).
cnf(c_147,plain,
( ~ is_aligned(sk1,sk4)
| ~ is_aligned(sk1,sk2) ),
inference(resolve,[status(thm)],[c_108,c_48]) ).
cnf(c_111,plain,
~ is_aligned(sk1,sk4),
inference(resolve,[status(thm)],[c_70,c_147]) ).
cnf(c_148,plain,
( greater(capability(sk1,A),capability(sk1,sk4))
| ~ is_aligned(sk1,A) ),
inference(resolve,[status(thm)],[c_39,c_111]) ).
cnf(c_133,plain,
~ is_aligned(sk1,sk3),
inference(resolve,[status(thm)],[c_148,c_82]) ).
cnf(c_135,plain,
greater(age(sk1,sk3),sigma),
inference(resolve,[status(thm)],[c_133,c_96]) ).
cnf(c_141,plain,
age(sk1,sk3) = sigma,
inference(resolve,[status(thm)],[c_135,c_63]) ).
cnf(c_149,plain,
greater(sigma,sigma),
inference(paramod,[status(thm)],[c_141,c_135]) ).
cnf(c_143,plain,
$false,
inference(resolve,[status(thm)],[c_57,c_149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 00:12:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 3183308 was started by sandbox on n018,
% 0.11/0.37 % Sat Sep 26 00:12:21 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % From the command line: assign(max_seconds, 300).
% 0.11/0.40
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.40
% 0.11/0.40 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.11/0.40 % Length of proof is 43.
% 0.11/0.40 % Level of proof is 8.
% 0.11/0.40 % Maximum clause weight is 20.000.
% 0.11/0.40 % Given clauses 58.
% 0.11/0.40
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------