%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT062-1 : 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 : 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 : Sun Sep 27 08:03:02 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 39 unt; 0 def)
% Number of atoms : 193 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 204 ( 103 ~; 101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 93 ( 9 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_8_62,axiom,
organization(sk2),
file('theBenchmark.p',theorem_8_62) ).
cnf(c_5,plain,
organization(sk2),
inference(clausify,[status(thm)],[theorem_8_62]) ).
fof(assumption_17_59,axiom,
! [VAR_0,VAR_1] :
( hazard_of_mortality(VAR_0,VAR_1) = mod2
| positional_advantage(VAR_0,VAR_1)
| ~ is_aligned(VAR_0,VAR_1)
| has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_17_59) ).
cnf(c_6,plain,
( hazard_of_mortality(A,B) = mod2
| positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17_59]) ).
fof(assumption_17_58,axiom,
! [VAR_0,VAR_1] :
( hazard_of_mortality(VAR_0,VAR_1) = mod1
| ~ positional_advantage(VAR_0,VAR_1)
| is_aligned(VAR_0,VAR_1)
| has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_17_58) ).
cnf(c_7,plain,
( hazard_of_mortality(A,B) = mod1
| ~ positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17_58]) ).
fof(assumption_15_49,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_49) ).
cnf(c_10,plain,
( greater(age(A,C),sigma)
| ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15_49]) ).
fof(assumption_15_48,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_48) ).
cnf(c_11,plain,
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15_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_12,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_15,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_17,plain,
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_40]) ).
fof(assumption_1_39,axiom,
! [VAR_0,VAR_1] :
( ~ has_immunity(VAR_0,VAR_1)
| has_endowment(VAR_0)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_1_39) ).
cnf(c_18,plain,
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_1_39]) ).
fof(definition_4_51,axiom,
! [VAR_0,VAR_1] :
( positional_advantage(VAR_0,VAR_1)
| ~ greater(age(VAR_0,VAR_1),tau)
| ~ robust_position(VAR_0) ),
file('theBenchmark.p',definition_4_51) ).
cnf(c_20,plain,
( positional_advantage(A,B)
| ~ greater(age(A,B),tau)
| ~ robust_position(A) ),
inference(clausify,[status(thm)],[definition_4_51]) ).
fof(definition_4_50,axiom,
! [VAR_0,VAR_1] :
( ~ positional_advantage(VAR_0,VAR_1)
| ~ smaller_or_equal(age(VAR_0,VAR_1),tau)
| ~ robust_position(VAR_0) ),
file('theBenchmark.p',definition_4_50) ).
cnf(c_21,plain,
( ~ positional_advantage(A,B)
| ~ smaller_or_equal(age(A,B),tau)
| ~ robust_position(A) ),
inference(clausify,[status(thm)],[definition_4_50]) ).
fof(theorem_8_63,axiom,
robust_position(sk2),
file('theBenchmark.p',theorem_8_63) ).
cnf(c_25,plain,
robust_position(sk2),
inference(clausify,[status(thm)],[theorem_8_63]) ).
cnf(c_26,plain,
( ~ positional_advantage(sk2,A)
| ~ smaller_or_equal(age(sk2,A),tau) ),
inference(resolve,[status(thm)],[c_25,c_21]) ).
cnf(c_27,plain,
( positional_advantage(sk2,A)
| ~ greater(age(sk2,A),tau) ),
inference(resolve,[status(thm)],[c_25,c_20]) ).
fof(theorem_8_71,axiom,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
file('theBenchmark.p',theorem_8_71) ).
cnf(c_34,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(clausify,[status(thm)],[theorem_8_71]) ).
fof(theorem_8_70,axiom,
greater(age(sk2,sk5),sigma),
file('theBenchmark.p',theorem_8_70) ).
cnf(c_35,plain,
greater(age(sk2,sk5),sigma),
inference(clausify,[status(thm)],[theorem_8_70]) ).
fof(theorem_8_69,axiom,
smaller_or_equal(age(sk2,sk4),sigma),
file('theBenchmark.p',theorem_8_69) ).
cnf(c_36,plain,
smaller_or_equal(age(sk2,sk4),sigma),
inference(clausify,[status(thm)],[theorem_8_69]) ).
fof(theorem_8_68,axiom,
sigma = tau,
file('theBenchmark.p',theorem_8_68) ).
cnf(c_37,plain,
sigma = tau,
inference(clausify,[status(thm)],[theorem_8_68]) ).
fof(theorem_8_67,axiom,
greater(tau,zero),
file('theBenchmark.p',theorem_8_67) ).
cnf(c_38,plain,
greater(tau,zero),
inference(clausify,[status(thm)],[theorem_8_67]) ).
fof(theorem_8_65,axiom,
age(sk2,sk3) = zero,
file('theBenchmark.p',theorem_8_65) ).
cnf(c_40,plain,
age(sk2,sk3) = zero,
inference(clausify,[status(thm)],[theorem_8_65]) ).
fof(theorem_8_64,axiom,
~ has_endowment(sk2),
file('theBenchmark.p',theorem_8_64) ).
cnf(c_41,plain,
~ has_endowment(sk2),
inference(clausify,[status(thm)],[theorem_8_64]) ).
fof(assumption_19_61,axiom,
greater(mod2,mod1),
file('theBenchmark.p',assumption_19_61) ).
cnf(c_42,plain,
greater(mod2,mod1),
inference(clausify,[status(thm)],[assumption_19_61]) ).
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_43,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2_42]) ).
fof(definition_smaller_8,axiom,
! [VAR_0,VAR_1] :
( smaller(VAR_1,VAR_0)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_8) ).
cnf(c_48,plain,
( smaller(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_8]) ).
fof(definition_smaller_or_equal_2,axiom,
! [VAR_0,VAR_1] :
( smaller_or_equal(VAR_0,VAR_1)
| ~ smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_or_equal_2) ).
cnf(c_51,plain,
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_2]) ).
cnf(c_54,plain,
( hazard_of_mortality(sk2,A) = mod2
| positional_advantage(sk2,A)
| ~ is_aligned(sk2,A)
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_55,plain,
( hazard_of_mortality(sk2,A) = mod1
| ~ positional_advantage(sk2,A)
| is_aligned(sk2,A)
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_60,plain,
( dissimilar(sk2,A,B)
| ~ greater(age(sk2,B),sigma)
| age(sk2,A) != zero ),
inference(resolve,[status(thm)],[c_11,c_5]) ).
cnf(c_61,plain,
( dissimilar(sk2,A,B)
| ~ greater(age(sk2,B),tau)
| age(sk2,A) != zero ),
inference(paramod,[status(thm)],[c_37,c_60]) ).
cnf(c_62,plain,
( is_aligned(sk2,A)
| age(sk2,A) != zero ),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_64,plain,
( dissimilar(sk2,A,B)
| is_aligned(sk2,B)
| ~ is_aligned(sk2,A) ),
inference(resolve,[status(thm)],[c_15,c_5]) ).
cnf(c_70,plain,
( greater(age(A,E),sigma)
| ~ dissimilar(A,D,E)
| age(A,D) != zero
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_17,c_10]) ).
cnf(c_71,plain,
( greater(age(A,E),tau)
| ~ dissimilar(A,D,E)
| age(A,D) != zero
| ~ dissimilar(A,B,C) ),
inference(paramod,[status(thm)],[c_37,c_70]) ).
cnf(c_78,plain,
( ~ has_immunity(sk2,A)
| has_endowment(sk2) ),
inference(resolve,[status(thm)],[c_18,c_5]) ).
cnf(c_79,plain,
~ has_immunity(sk2,A),
inference(resolve,[status(thm)],[c_41,c_78]) ).
cnf(c_80,plain,
smaller_or_equal(age(sk2,sk4),tau),
inference(paramod,[status(thm)],[c_37,c_36]) ).
cnf(c_81,plain,
greater(age(sk2,sk5),tau),
inference(paramod,[status(thm)],[c_37,c_35]) ).
cnf(c_85,plain,
( greater(age(A,C),tau)
| age(A,B) != zero
| ~ dissimilar(A,B,C) ),
inference(factor,[status(thm)],[c_71]) ).
cnf(c_87,plain,
( hazard_of_mortality(sk2,A) = mod1
| ~ positional_advantage(sk2,A)
| is_aligned(sk2,A) ),
inference(resolve,[status(thm)],[c_79,c_55]) ).
cnf(c_88,plain,
( hazard_of_mortality(sk2,A) = mod2
| positional_advantage(sk2,A)
| ~ is_aligned(sk2,A) ),
inference(resolve,[status(thm)],[c_79,c_54]) ).
cnf(c_90,plain,
( ~ positional_advantage(sk2,sk3)
| ~ smaller_or_equal(zero,tau) ),
inference(paramod,[status(thm)],[c_40,c_26]) ).
cnf(c_100,plain,
smaller(zero,tau),
inference(resolve,[status(thm)],[c_48,c_38]) ).
cnf(c_106,plain,
is_aligned(sk2,sk3),
inference(resolve,[status(thm)],[c_62,c_40]) ).
cnf(c_111,plain,
~ positional_advantage(sk2,sk4),
inference(resolve,[status(thm)],[c_80,c_26]) ).
cnf(c_112,plain,
( dissimilar(sk2,A,sk5)
| age(sk2,A) != zero ),
inference(resolve,[status(thm)],[c_81,c_61]) ).
cnf(c_119,plain,
positional_advantage(sk2,sk5),
inference(resolve,[status(thm)],[c_81,c_27]) ).
cnf(c_126,plain,
~ greater(age(sk2,sk4),tau),
inference(resolve,[status(thm)],[c_27,c_111]) ).
cnf(c_128,plain,
smaller_or_equal(zero,tau),
inference(resolve,[status(thm)],[c_100,c_51]) ).
cnf(c_129,plain,
~ positional_advantage(sk2,sk3),
inference(resolve,[status(thm)],[c_128,c_90]) ).
cnf(c_192,plain,
( hazard_of_mortality(sk2,sk3) = mod2
| positional_advantage(sk2,sk3) ),
inference(resolve,[status(thm)],[c_106,c_88]) ).
cnf(c_130,plain,
hazard_of_mortality(sk2,sk3) = mod2,
inference(resolve,[status(thm)],[c_129,c_192]) ).
cnf(c_131,plain,
( dissimilar(sk2,sk3,A)
| is_aligned(sk2,A) ),
inference(resolve,[status(thm)],[c_106,c_64]) ).
cnf(c_135,plain,
( hazard_of_mortality(sk2,sk4) != mod2
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(paramod,[status(thm)],[c_130,c_34]) ).
cnf(c_136,plain,
( hazard_of_mortality(sk2,sk5) = mod1
| is_aligned(sk2,sk5) ),
inference(resolve,[status(thm)],[c_119,c_87]) ).
cnf(c_193,plain,
( greater(age(sk2,A),tau)
| ~ dissimilar(sk2,sk3,A) ),
inference(resolve,[status(thm)],[c_85,c_40]) ).
cnf(c_142,plain,
~ dissimilar(sk2,sk3,sk4),
inference(resolve,[status(thm)],[c_193,c_126]) ).
cnf(c_165,plain,
is_aligned(sk2,sk4),
inference(resolve,[status(thm)],[c_131,c_142]) ).
cnf(c_194,plain,
( hazard_of_mortality(sk2,sk4) = mod2
| positional_advantage(sk2,sk4) ),
inference(resolve,[status(thm)],[c_165,c_88]) ).
cnf(c_173,plain,
hazard_of_mortality(sk2,sk4) = mod2,
inference(resolve,[status(thm)],[c_111,c_194]) ).
cnf(c_195,plain,
( hazard_of_mortality(sk2,sk4) != mod2
| ~ smaller(hazard_of_mortality(sk2,sk5),mod2) ),
inference(paramod,[status(thm)],[c_173,c_135]) ).
cnf(c_196,plain,
( mod2 != mod2
| ~ smaller(hazard_of_mortality(sk2,sk5),mod2) ),
inference(paramod,[status(thm)],[c_173,c_195]) ).
cnf(c_178,plain,
~ smaller(hazard_of_mortality(sk2,sk5),mod2),
inference(copy,[status(thm)],[c_196]) ).
cnf(c_180,plain,
~ greater(mod2,hazard_of_mortality(sk2,sk5)),
inference(resolve,[status(thm)],[c_48,c_178]) ).
cnf(c_186,plain,
dissimilar(sk2,sk3,sk5),
inference(resolve,[status(thm)],[c_112,c_40]) ).
cnf(c_197,plain,
( ~ is_aligned(sk2,sk5)
| ~ is_aligned(sk2,sk3) ),
inference(resolve,[status(thm)],[c_186,c_43]) ).
cnf(c_189,plain,
~ is_aligned(sk2,sk5),
inference(resolve,[status(thm)],[c_106,c_197]) ).
cnf(c_190,plain,
hazard_of_mortality(sk2,sk5) = mod1,
inference(resolve,[status(thm)],[c_189,c_136]) ).
cnf(c_198,plain,
~ greater(mod2,mod1),
inference(paramod,[status(thm)],[c_190,c_180]) ).
cnf(c_191,plain,
$false,
inference(resolve,[status(thm)],[c_42,c_198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062-1 : 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 : n003.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 00:12:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1482250 was started by sandbox on n003,
% 0.10/0.36 % Sat Sep 26 00:12:23 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.36
% 0.10/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.42
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.42
% 0.13/0.42 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.13/0.42 % Length of proof is 62.
% 0.13/0.42 % Level of proof is 9.
% 0.13/0.42 % Maximum clause weight is 18.000.
% 0.13/0.42 % Given clauses 107.
% 0.13/0.42
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------