TSTP Solution File: MGT053+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 11:35:27 EDT 2023
% Result : Theorem 3.03s 1.70s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 1 unt; 7 typ; 0 def)
% Number of atoms : 65 ( 8 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 174 ( 7 ~; 10 |; 14 &; 120 @)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 41 ( 0 ^; 41 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(dissimilar_type,type,
dissimilar: $i > $i > $i > $o ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(organization_type,type,
organization: $i > $o ).
thf(is_aligned_type,type,
is_aligned: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
<=> ( dissimilar @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
<=> ( dissimilar @ A @ C @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( dissimilar @ A @ B @ C )
=> ( dissimilar @ A @ C @ B ) )
& ( ( dissimilar @ A @ C @ B )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
<=> ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( ( smaller @ A @ B )
=> ( greater @ B @ A ) )
& ( ( greater @ B @ A )
=> ( smaller @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(39,plain,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( smaller_or_equal @ A @ B )
<=> ( ( smaller @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( ( smaller_or_equal @ A @ B )
=> ( ( smaller @ A @ B )
| ( A = B ) ) )
& ( ( ( smaller @ A @ B )
| ( A = B ) )
=> ( smaller_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
<=> ( ( organization @ A )
& ~ ( ( is_aligned @ A @ B )
<=> ( is_aligned @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
thf(47,plain,
! [A: $i,B: $i,C: $i] :
( ( ( dissimilar @ A @ B @ C )
=> ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) ) )
& ( ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(42,plain,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( greater_or_equal @ A @ B )
<=> ( ( greater @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( ( greater_or_equal @ A @ B )
=> ( ( greater @ A @ B )
| ( A = B ) ) )
& ( ( ( greater @ A @ B )
| ( A = B ) )
=> ( greater_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(58,plain,
$false,
inference(e,[status(thm)],[10,34,44,39,16,47,42,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 23:39:58 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.97/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/1.02 % [INFO] Parsing done (131ms).
% 1.39/1.03 % [INFO] Running in sequential loop mode.
% 1.67/1.22 % [INFO] eprover registered as external prover.
% 1.67/1.22 % [INFO] cvc4 registered as external prover.
% 1.67/1.22 % [INFO] Scanning for conjecture ...
% 1.82/1.27 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.82/1.29 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.82/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 1.82/1.31 % [INFO] Type checking passed.
% 2.04/1.31 % [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 ...
% 3.03/1.70 % External prover 'e' found a proof!
% 3.03/1.70 % [INFO] Killing All external provers ...
% 3.03/1.70 % Time passed: 1170ms (effective reasoning time: 667ms)
% 3.03/1.70 % 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)>
% 3.03/1.70 % Axioms used in derivation (7): definition_2, definition_smaller_or_equal, definition_smaller, meaning_postulate_greater_comparable, meaning_postulate_greater_transitive, meaning_postulate_greater_strict, definition_greater_or_equal
% 3.03/1.70 % No. of inferences in proof: 18
% 3.03/1.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1170 ms resp. 667 ms w/o parsing
% 3.03/1.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.03/1.78 % [INFO] Killing All external provers ...
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