%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 08:03:02 AM UTC 2026
% Result : Unsatisfiable 6.35s 1.28s
% Output : CNFRefutation 6.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 77 ( 29 unt; 0 def)
% Number of atoms : 199 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 179 ( 57 ~; 122 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_4,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_7]) ).
fof(meaning_postulate_greater_comparable_11,axiom,
! [VAR_0,VAR_1] :
( greater(VAR_0,VAR_1)
| VAR_0 = VAR_1
| smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',meaning_postulate_greater_comparable_11) ).
cnf(c_6,plain,
( greater(A,B)
| A = B
| smaller(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_comparable_11]) ).
fof(assumption_17_36,axiom,
! [VAR_0,VAR_1] :
( hazard_of_mortality(VAR_0,VAR_1) = high
| 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_36) ).
cnf(c_10,plain,
( hazard_of_mortality(A,B) = high
| positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17_36]) ).
fof(assumption_3_42,axiom,
organization(sk1),
file('theBenchmark.p',assumption_3_42) ).
cnf(c_11,plain,
organization(sk1),
inference(clausify,[status(thm)],[assumption_3_42]) ).
fof(assumption_17_35,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_35) ).
cnf(c_12,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_35]) ).
fof(assumption_17_34,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_34) ).
cnf(c_13,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_34]) ).
fof(assumption_17_33,axiom,
! [VAR_0,VAR_1] :
( hazard_of_mortality(VAR_0,VAR_1) = low
| ~ 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_33) ).
cnf(c_14,plain,
( hazard_of_mortality(A,B) = low
| ~ positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17_33]) ).
fof(assumption_17_32,axiom,
! [VAR_0,VAR_1] :
( hazard_of_mortality(VAR_0,VAR_1) = very_low
| ~ has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_17_32) ).
cnf(c_15,plain,
( hazard_of_mortality(A,B) = very_low
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17_32]) ).
cnf(c_16,plain,
( hazard_of_mortality(sk1,A) = very_low
| ~ has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_15,c_11]) ).
cnf(c_17,plain,
( hazard_of_mortality(sk1,A) = low
| ~ positional_advantage(sk1,A)
| ~ is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_14,c_11]) ).
cnf(c_18,plain,
( hazard_of_mortality(sk1,A) = mod1
| ~ positional_advantage(sk1,A)
| is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_13,c_11]) ).
cnf(c_19,plain,
( hazard_of_mortality(sk1,A) = mod2
| positional_advantage(sk1,A)
| ~ is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_12,c_11]) ).
cnf(c_20,plain,
( hazard_of_mortality(sk1,A) = high
| positional_advantage(sk1,A)
| is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_10,c_11]) ).
cnf(c_21,plain,
( greater(B,A)
| B = A
| greater(A,B) ),
inference(resolve,[status(thm)],[c_4,c_6]) ).
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_22,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_strict_9]) ).
fof(meaning_postulate_greater_transitive_10,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(VAR_0,VAR_2)
| ~ greater(VAR_1,VAR_2)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',meaning_postulate_greater_transitive_10) ).
cnf(c_23,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive_10]) ).
fof(assumption_18a_37,axiom,
greater(high,mod1),
file('theBenchmark.p',assumption_18a_37) ).
cnf(c_24,plain,
greater(high,mod1),
inference(clausify,[status(thm)],[assumption_18a_37]) ).
fof(assumption_18b_38,axiom,
greater(mod1,low),
file('theBenchmark.p',assumption_18b_38) ).
cnf(c_25,plain,
greater(mod1,low),
inference(clausify,[status(thm)],[assumption_18b_38]) ).
fof(assumption_18c_39,axiom,
greater(low,very_low),
file('theBenchmark.p',assumption_18c_39) ).
cnf(c_26,plain,
greater(low,very_low),
inference(clausify,[status(thm)],[assumption_18c_39]) ).
fof(assumption_18e_41,axiom,
greater(mod2,low),
file('theBenchmark.p',assumption_18e_41) ).
cnf(c_28,plain,
greater(mod2,low),
inference(clausify,[status(thm)],[assumption_18e_41]) ).
fof(assumption_3_43,axiom,
has_immunity(sk1,sk2),
file('theBenchmark.p',assumption_3_43) ).
cnf(c_29,plain,
has_immunity(sk1,sk2),
inference(clausify,[status(thm)],[assumption_3_43]) ).
fof(assumption_3_44,axiom,
~ has_immunity(sk1,sk3),
file('theBenchmark.p',assumption_3_44) ).
cnf(c_30,plain,
~ has_immunity(sk1,sk3),
inference(clausify,[status(thm)],[assumption_3_44]) ).
fof(assumption_3_45,axiom,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('theBenchmark.p',assumption_3_45) ).
cnf(c_31,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(clausify,[status(thm)],[assumption_3_45]) ).
cnf(c_32,plain,
~ greater(A,A),
inference(factor,[status(thm)],[c_22]) ).
cnf(c_2007,plain,
( hazard_of_mortality(sk1,A) = mod2
| positional_advantage(sk1,A)
| has_immunity(sk1,A)
| hazard_of_mortality(sk1,A) = high
| positional_advantage(sk1,A)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_20,c_19]) ).
cnf(c_2008,plain,
( hazard_of_mortality(sk1,A) = mod2
| positional_advantage(sk1,A)
| hazard_of_mortality(sk1,A) = high
| positional_advantage(sk1,A)
| has_immunity(sk1,A) ),
inference(copy,[status(thm)],[c_2007]) ).
cnf(c_34,plain,
( hazard_of_mortality(sk1,A) = mod2
| hazard_of_mortality(sk1,A) = high
| positional_advantage(sk1,A)
| has_immunity(sk1,A) ),
inference(copy,[status(thm)],[c_2008]) ).
cnf(c_2009,plain,
( hazard_of_mortality(sk1,A) = mod1
| is_aligned(sk1,A)
| has_immunity(sk1,A)
| hazard_of_mortality(sk1,A) = high
| is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_20,c_18]) ).
cnf(c_2010,plain,
( hazard_of_mortality(sk1,A) = mod1
| is_aligned(sk1,A)
| hazard_of_mortality(sk1,A) = high
| is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(copy,[status(thm)],[c_2009]) ).
cnf(c_35,plain,
( hazard_of_mortality(sk1,A) = mod1
| hazard_of_mortality(sk1,A) = high
| is_aligned(sk1,A)
| has_immunity(sk1,A) ),
inference(copy,[status(thm)],[c_2010]) ).
cnf(c_38,plain,
( hazard_of_mortality(sk1,B) = low
| ~ positional_advantage(A,B)
| ~ is_aligned(sk1,B)
| has_immunity(sk1,B)
| greater(sk1,A)
| greater(A,sk1) ),
inference(paramod,[status(thm)],[c_21,c_17]) ).
cnf(c_52,plain,
( greater(high,A)
| ~ greater(mod1,A) ),
inference(resolve,[status(thm)],[c_24,c_23]) ).
cnf(c_57,plain,
( greater(mod1,A)
| ~ greater(low,A) ),
inference(resolve,[status(thm)],[c_25,c_23]) ).
cnf(c_61,plain,
( greater(A,very_low)
| ~ greater(A,low) ),
inference(resolve,[status(thm)],[c_26,c_23]) ).
cnf(c_64,plain,
( greater(A,very_low)
| greater(low,A)
| greater(A,low) ),
inference(paramod,[status(thm)],[c_21,c_26]) ).
cnf(c_76,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(resolve,[status(thm)],[c_29,c_16]) ).
cnf(c_79,plain,
~ greater(hazard_of_mortality(sk1,sk3),very_low),
inference(paramod,[status(thm)],[c_76,c_31]) ).
cnf(c_135,plain,
greater(mod1,very_low),
inference(resolve,[status(thm)],[c_57,c_26]) ).
cnf(c_138,plain,
greater(high,very_low),
inference(resolve,[status(thm)],[c_135,c_52]) ).
cnf(c_147,plain,
greater(mod2,very_low),
inference(resolve,[status(thm)],[c_61,c_28]) ).
cnf(c_159,plain,
~ greater(hazard_of_mortality(sk1,sk3),low),
inference(resolve,[status(thm)],[c_61,c_79]) ).
cnf(c_2011,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sk1,sk3) = mod2
| positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(paramod,[status(thm)],[c_34,c_79]) ).
cnf(c_2012,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sk1,sk3) = mod2
| positional_advantage(sk1,sk3) ),
inference(resolve,[status(thm)],[c_30,c_2011]) ).
cnf(c_168,plain,
( hazard_of_mortality(sk1,sk3) = mod2
| positional_advantage(sk1,sk3) ),
inference(resolve,[status(thm)],[c_138,c_2012]) ).
cnf(c_2013,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sk1,sk3) = mod1
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(paramod,[status(thm)],[c_35,c_79]) ).
cnf(c_2014,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sk1,sk3) = mod1
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_30,c_2013]) ).
cnf(c_170,plain,
( hazard_of_mortality(sk1,sk3) = mod1
| is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_138,c_2014]) ).
cnf(c_2015,plain,
( greater(hazard_of_mortality(sk1,sk3),very_low)
| greater(low,hazard_of_mortality(sk1,sk3)) ),
inference(resolve,[status(thm)],[c_64,c_159]) ).
cnf(c_524,plain,
greater(low,hazard_of_mortality(sk1,sk3)),
inference(resolve,[status(thm)],[c_79,c_2015]) ).
cnf(c_2016,plain,
( ~ greater(mod2,very_low)
| positional_advantage(sk1,sk3) ),
inference(paramod,[status(thm)],[c_168,c_79]) ).
cnf(c_1766,plain,
positional_advantage(sk1,sk3),
inference(resolve,[status(thm)],[c_147,c_2016]) ).
cnf(c_2017,plain,
( hazard_of_mortality(sk1,sk3) = low
| ~ is_aligned(sk1,sk3)
| has_immunity(sk1,sk3)
| greater(sk1,sk1)
| greater(sk1,sk1) ),
inference(resolve,[status(thm)],[c_1766,c_38]) ).
cnf(c_2018,plain,
( hazard_of_mortality(sk1,sk3) = low
| ~ is_aligned(sk1,sk3)
| has_immunity(sk1,sk3)
| greater(sk1,sk1) ),
inference(copy,[status(thm)],[c_2017]) ).
cnf(c_2019,plain,
( hazard_of_mortality(sk1,sk3) = low
| ~ is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolve,[status(thm)],[c_32,c_2018]) ).
cnf(c_1770,plain,
( hazard_of_mortality(sk1,sk3) = low
| ~ is_aligned(sk1,sk3) ),
inference(resolve,[status(thm)],[c_30,c_2019]) ).
cnf(c_2020,plain,
( ~ greater(mod1,very_low)
| is_aligned(sk1,sk3) ),
inference(paramod,[status(thm)],[c_170,c_79]) ).
cnf(c_1993,plain,
is_aligned(sk1,sk3),
inference(resolve,[status(thm)],[c_135,c_2020]) ).
cnf(c_1996,plain,
hazard_of_mortality(sk1,sk3) = low,
inference(resolve,[status(thm)],[c_1993,c_1770]) ).
cnf(c_2021,plain,
greater(low,low),
inference(paramod,[status(thm)],[c_1996,c_524]) ).
cnf(c_2006,plain,
$false,
inference(resolve,[status(thm)],[c_32,c_2021]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 00:15:30 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 3651829 was started by sandbox2 on n016,
% 0.08/0.36 % Sat Sep 26 00:15:30 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.36
% 0.13/0.36 % From the command line: assign(max_seconds, 300).
% 6.35/1.28
% 6.35/1.28 % SZS status Unsatisfiable for theBenchmark
% 6.35/1.28
% 6.35/1.28 % Proof 1 at 0.52 (+ 0.19) seconds.
% 6.35/1.28 % Length of proof is 45.
% 6.35/1.28 % Level of proof is 8.
% 6.35/1.28 % Maximum clause weight is 24.000.
% 6.35/1.28 % Given clauses 168.
% 6.35/1.28
% 6.35/1.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------