TSTP Solution File: SET613^5 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET613^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 : Tue May 21 03:06:29 EDT 2024
% Result : Theorem 2.76s 1.99s
% Output : Refutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 4 typ; 0 def)
% Number of atoms : 73 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 196 ( 47 ~; 29 |; 36 &; 84 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 10 ^ 6 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
| ( B @ C ) )
& ~ ( ( A @ C )
& ( B @ C ) ) ) )
= ( ^ [C: a] :
( ( ( A @ C )
& ~ ( B @ C ) )
| ( ( B @ C )
& ~ ( A @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_87_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
| ( B @ C ) )
& ~ ( ( A @ C )
& ( B @ C ) ) ) )
= ( ^ [C: a] :
( ( ( A @ C )
& ~ ( B @ C ) )
| ( ( B @ C )
& ~ ( A @ C ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
| ( B @ C ) )
& ~ ( ( A @ C )
& ( B @ C ) ) ) )
= ( ^ [C: a] :
( ( ( A @ C )
& ~ ( B @ C ) )
| ( ( B @ C )
& ~ ( A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
| ( sk2 @ A ) )
& ~ ( ( sk1 @ A )
& ( sk2 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
| ( sk2 @ A ) )
& ~ ( ( sk1 @ A )
& ( sk2 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ( ( ( sk1 @ sk3 )
| ( sk2 @ sk3 ) )
& ~ ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) ) )
!= ( ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) )
| ( ( sk2 @ sk3 )
& ~ ( sk1 @ sk3 ) ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(7,plain,
( ~ ( ( ( sk1 @ sk3 )
| ( sk2 @ sk3 ) )
& ~ ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) ) )
| ~ ( ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) )
| ( ( sk2 @ sk3 )
& ~ ( sk1 @ sk3 ) ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(15,plain,
( ~ ( sk1 @ sk3 )
| ( sk2 @ sk3 )
| ~ ( sk1 @ sk3 )
| ( sk2 @ sk3 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(21,plain,
( ~ ( sk1 @ sk3 )
| ( sk2 @ sk3 ) ),
inference(simp,[status(thm)],[15]) ).
thf(8,plain,
( ( ( ( sk1 @ sk3 )
| ( sk2 @ sk3 ) )
& ~ ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) ) )
| ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) )
| ( ( sk2 @ sk3 )
& ~ ( sk1 @ sk3 ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(23,plain,
( ~ ( sk2 @ sk3 )
| ~ ( sk1 @ sk3 )
| ~ ( sk1 @ sk3 )
| ~ ( sk2 @ sk3 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(34,plain,
( ~ ( sk2 @ sk3 )
| ~ ( sk1 @ sk3 ) ),
inference(simp,[status(thm)],[23]) ).
thf(41,plain,
( ~ ( sk1 @ sk3 )
| ( ( sk2 @ sk3 )
!= ( sk2 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[21,34]) ).
thf(42,plain,
~ ( sk1 @ sk3 ),
inference(pattern_uni,[status(thm)],[41:[]]) ).
thf(45,plain,
( ( ( $false
| ( sk2 @ sk3 ) )
& ~ ( $false
& ( sk2 @ sk3 ) ) )
!= ( ( $false
& ~ ( sk2 @ sk3 ) )
| ( ( sk2 @ sk3 )
& ~ $false ) ) ),
inference(rewrite,[status(thm)],[6,42]) ).
thf(46,plain,
$false,
inference(simp,[status(thm)],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET613^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_Leo-III %s %d
% 0.11/0.31 % Computer : n008.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 12:49:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.96/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.06 % [INFO] Parsing done (151ms).
% 1.21/1.08 % [INFO] Running in sequential loop mode.
% 1.71/1.42 % [INFO] nitpick registered as external prover.
% 1.71/1.43 % [INFO] Scanning for conjecture ...
% 1.94/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.01/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.01/1.54 % [INFO] Type checking passed.
% 2.01/1.54 % [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 ...
% 2.76/1.98 % [INFO] Killing All external provers ...
% 2.76/1.99 % Time passed: 1529ms (effective reasoning time: 903ms)
% 2.76/1.99 % 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)>
% 2.76/1.99 % Axioms used in derivation (0):
% 2.76/1.99 % No. of inferences in proof: 16
% 2.76/1.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1529 ms resp. 903 ms w/o parsing
% 2.96/2.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.96/2.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------