TSTP Solution File: MGT013-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT013-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.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 11:35:13 EDT 2023
% Result : Unsatisfiable 3.27s 1.69s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 30
% Syntax : Number of formulae : 48 ( 19 unt; 13 typ; 0 def)
% Number of atoms : 85 ( 8 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 280 ( 54 ~; 50 |; 0 &; 176 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(complexity_type,type,
complexity: $i > $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(size_type,type,
size: $i > $i > $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(time_type,type,
time: $i > $o ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( time @ A )
| ~ ( time @ B )
| ( greater @ A @ B )
| ( A = B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp16_21) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( time @ A )
| ~ ( time @ B )
| ( greater @ A @ B )
| ( A = B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,negated_conjecture,
complexity @ sk1 @ sk3 @ sk7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_30) ).
thf(18,plain,
complexity @ sk1 @ sk3 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_19) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,negated_conjecture,
organization @ sk1 @ sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_26) ).
thf(19,plain,
organization @ sk1 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
reorganization_free @ sk1 @ sk6 @ sk7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_28) ).
thf(24,plain,
reorganization_free @ sk1 @ sk6 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,negated_conjecture,
greater @ sk3 @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_33) ).
thf(25,plain,
greater @ sk3 @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
size @ sk1 @ sk4 @ sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_31) ).
thf(20,plain,
size @ sk1 @ sk4 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( complexity @ A @ D @ B )
| ~ ( complexity @ A @ E @ C )
| ~ ( greater @ C @ B )
| ~ ( greater @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_25) ).
thf(46,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( complexity @ A @ D @ B )
| ~ ( complexity @ A @ E @ C )
| ~ ( greater @ C @ B )
| ~ ( greater @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization_free @ A @ B @ C )
| ( reorganization_free @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp17_22) ).
thf(38,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization_free @ A @ B @ C )
| ( reorganization_free @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,negated_conjecture,
greater @ sk4 @ sk5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_34) ).
thf(21,plain,
greater @ sk4 @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( time @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp15_20) ).
thf(33,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( time @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,negated_conjecture,
organization @ sk1 @ sk7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_27) ).
thf(22,plain,
organization @ sk1 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( size @ A @ D @ B )
| ~ ( size @ A @ E @ C )
| ~ ( greater @ C @ B )
| ~ ( greater @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_24) ).
thf(44,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( size @ A @ D @ B )
| ~ ( size @ A @ E @ C )
| ~ ( greater @ C @ B )
| ~ ( greater @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1_18) ).
thf(27,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( complexity @ A @ D @ B )
| ~ ( complexity @ A @ E @ C )
| ( B != C )
| ( D = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp18_23) ).
thf(40,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( complexity @ A @ D @ B )
| ~ ( complexity @ A @ E @ C )
| ( B != C )
| ( D = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,negated_conjecture,
complexity @ sk1 @ sk2 @ sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_29) ).
thf(26,plain,
complexity @ sk1 @ sk2 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,negated_conjecture,
size @ sk1 @ sk5 @ sk7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_32) ).
thf(23,plain,
size @ sk1 @ sk5 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(54,plain,
$false,
inference(e,[status(thm)],[35,18,31,19,24,25,20,46,38,21,33,22,44,27,40,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT013-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 19 00:10:21 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.96/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.95 % [INFO] Parsing done (118ms).
% 1.32/0.96 % [INFO] Running in sequential loop mode.
% 1.67/1.16 % [INFO] eprover registered as external prover.
% 1.67/1.16 % [INFO] cvc4 registered as external prover.
% 1.67/1.17 % [INFO] Scanning for conjecture ...
% 1.74/1.22 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.87/1.24 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.92/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.92/1.26 % [INFO] Type checking passed.
% 1.92/1.26 % [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 ...
% 3.27/1.69 % External prover 'e' found a proof!
% 3.27/1.69 % [INFO] Killing All external provers ...
% 3.27/1.69 % Time passed: 1172ms (effective reasoning time: 721ms)
% 3.27/1.69 % 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)>
% 3.27/1.69 % Axioms used in derivation (8): t11_FOL_24, mp16_21, mp6_1_18, mp6_2_19, mp15_20, mp18_23, mp17_22, t12_FOL_25
% 3.27/1.69 % No. of inferences in proof: 35
% 3.27/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1172 ms resp. 721 ms w/o parsing
% 3.27/1.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.27/1.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------