TSTP Solution File: MGT058-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT058-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 11:35:28 EDT 2023
% Result : Unsatisfiable 3.38s 1.86s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 45
% Syntax : Number of formulae : 75 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 133 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 412 ( 50 ~; 74 |; 0 &; 288 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 76 ( 0 ^; 76 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(age_type,type,
age: $i > $i > $i ).
thf(sk4_type,type,
sk4: $i ).
thf(zero_type,type,
zero: $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(sigma_type,type,
sigma: $i ).
thf(tau_type,type,
tau: $i ).
thf(fragile_position_type,type,
fragile_position: $i > $o ).
thf(robust_position_type,type,
robust_position: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(positional_advantage_type,type,
positional_advantage: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_33) ).
thf(57,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(17,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_39) ).
thf(61,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(26,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_38) ).
thf(77,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(73,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_32) ).
thf(59,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ~ ( fragile_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
| ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_30) ).
thf(66,plain,
! [B: $i,A: $i] :
( ~ ( fragile_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
| ( positional_advantage @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
greater_or_equal @ tau @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_45) ).
thf(35,plain,
greater_or_equal @ tau @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,axiom,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_41) ).
thf(63,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,negated_conjecture,
organization @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_42) ).
thf(31,plain,
organization @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(79,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_36) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(2,negated_conjecture,
( ( age @ sk3 @ sk4 )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_43) ).
thf(33,plain,
( ( age @ sk3 @ sk4 )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ~ ( fragile_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ sigma )
| ~ ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_31) ).
thf(64,plain,
! [B: $i,A: $i] :
( ~ ( fragile_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ sigma )
| ~ ( positional_advantage @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(6,negated_conjecture,
robust_position @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_47) ).
thf(32,plain,
robust_position @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,negated_conjecture,
greater_or_equal @ sigma @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_44) ).
thf(34,plain,
greater_or_equal @ sigma @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(54,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(29,axiom,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_37) ).
thf(86,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(23,axiom,
! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_35) ).
thf(72,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,axiom,
! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_34) ).
thf(75,plain,
! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(82,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(5,negated_conjecture,
fragile_position @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_46) ).
thf(30,plain,
fragile_position @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_40) ).
thf(68,plain,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(88,plain,
$false,
inference(cvc4,[status(thm)],[37,57,61,77,41,73,59,39,66,35,63,31,79,70,33,64,32,34,54,49,86,72,43,75,82,30,51,47,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT058-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n002.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 23:56:21 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.07/1.01 % [INFO] Parsing done (135ms).
% 1.07/1.02 % [INFO] Running in sequential loop mode.
% 1.81/1.24 % [INFO] eprover registered as external prover.
% 1.81/1.24 % [INFO] cvc4 registered as external prover.
% 1.81/1.25 % [INFO] Scanning for conjecture ...
% 1.81/1.30 % [INFO] Found a conjecture and 23 axioms. Running axiom selection ...
% 2.01/1.35 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 2.24/1.38 % [INFO] Problem is propositional (TPTP CNF).
% 2.24/1.38 % [INFO] Type checking passed.
% 2.24/1.38 % [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 ...
% 3.38/1.86 % External prover 'cvc4' found a proof!
% 3.38/1.86 % [INFO] Killing All external provers ...
% 3.38/1.86 % Time passed: 1311ms (effective reasoning time: 834ms)
% 3.38/1.86 % 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)>
% 3.38/1.86 % Axioms used in derivation (23): definition_4_39, definition_3_30, definition_smaller_or_equal_3, definition_greater_or_equal_6, definition_4_41, definition_smaller_or_equal_1, definition_smaller_or_equal_2, definition_4_40, definition_greater_or_equal_4, definition_greater_or_equal_5, definition_3_34, definition_4_38, definition_3_33, definition_3_31, meaning_postulate_greater_comparable_11, definition_4_36, definition_smaller_8, meaning_postulate_greater_transitive_10, definition_4_37, meaning_postulate_greater_strict_9, definition_smaller_7, definition_3_32, definition_3_35
% 3.38/1.86 % No. of inferences in proof: 59
% 3.38/1.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1311 ms resp. 834 ms w/o parsing
% 3.38/1.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.38/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------