TSTP Solution File: MGT059-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT059-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:35:29 EDT 2023
% Result : Unsatisfiable 3.00s 1.65s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 22
% Syntax : Number of formulae : 32 ( 9 unt; 13 typ; 0 def)
% Number of atoms : 55 ( 12 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 158 ( 22 ~; 36 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(hazard_of_mortality_type,type,
hazard_of_mortality: $i > $i > $i ).
thf(is_aligned_type,type,
is_aligned: $i > $i > $o ).
thf(positional_advantage_type,type,
positional_advantage: $i > $i > $o ).
thf(high_type,type,
high: $i ).
thf(very_low_type,type,
very_low: $i ).
thf(low_type,type,
low: $i ).
thf(mod2_type,type,
mod2: $i ).
thf(mod1_type,type,
mod1: $i ).
thf(1,negated_conjecture,
organization @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_37) ).
thf(10,plain,
organization @ sk1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= mod2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_35) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= mod2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= mod1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_34) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= mod1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,negated_conjecture,
( ( hazard_of_mortality @ sk1 @ sk2 )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_40) ).
thf(13,plain,
( ( hazard_of_mortality @ sk1 @ sk2 )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= low ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_33) ).
thf(22,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= low ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,negated_conjecture,
has_immunity @ sk1 @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_39) ).
thf(12,plain,
has_immunity @ sk1 @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= high ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_36) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= high ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
has_immunity @ sk1 @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_38) ).
thf(11,plain,
has_immunity @ sk1 @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= very_low ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_32) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= very_low ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[10,25,28,13,22,12,16,11,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT059-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 23:38:09 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/1.00 % [INFO] Parsing done (131ms).
% 1.40/1.01 % [INFO] Running in sequential loop mode.
% 1.82/1.22 % [INFO] eprover registered as external prover.
% 1.82/1.22 % [INFO] cvc4 registered as external prover.
% 1.82/1.22 % [INFO] Scanning for conjecture ...
% 1.92/1.28 % [INFO] Found a conjecture and 16 axioms. Running axiom selection ...
% 1.92/1.31 % [INFO] Axiom selection finished. Selected 5 axioms (removed 11 axioms).
% 1.92/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 1.92/1.33 % [INFO] Type checking passed.
% 1.92/1.33 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.00/1.65 % External prover 'e' found a proof!
% 3.00/1.65 % [INFO] Killing All external provers ...
% 3.00/1.65 % Time passed: 1113ms (effective reasoning time: 641ms)
% 3.00/1.65 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.00/1.65 % Axioms used in derivation (5): assumption_17_33, assumption_17_34, assumption_17_36, assumption_17_35, assumption_17_32
% 3.00/1.65 % No. of inferences in proof: 19
% 3.00/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1113 ms resp. 641 ms w/o parsing
% 3.08/1.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.08/1.69 % [INFO] Killing All external provers ...
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